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CO2 has the same geometry as

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Number of unpaired electronic configuration 1s2,2s2, 2p4 is

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The molar concentration of 32g of oxygen in 10 litres is

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For the reaction PCI5→PCI3+CI2,Kp is

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The equilibrium constant Kc for the decompostion of PCI5 is 0.0625mole/lit at 3000C then the value of Kp is

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A mixture of 1-chloropropane and 2-chloropropane when treated with alcoholic KOH gives

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In aqueous solution, H2 will not reduce

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Commericial 10 volume H2O2 is a solution with a strength approximately

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The volume of 2.8 g of carbon monoxide at 27° C and 0.821 atm pressure is

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The number of distinct real roots of

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 Let ω ≠ 1 be a cube root of unity and S be the set of all non-singular matrices of the form 1

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The determinant

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If A=1000110

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If α, β ≠ 0 and f(n) = αn + βn and

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If the adjoint of a 3 x 3 matrix P is

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Let M and N be two 3 x 3 matrices such that MN = NM. Further, if M ≠ N2 and M2 = N4, then

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Experimentally it was found that a metal oxide has formula M0.98O. Metal M, present as M2+ and M3+ in its oxide. Fraction of the metal which exists as M3+ would be

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If sets A and B are defined as A = {(x, y)| y = ex, x Є R}, B = {(x, y)| y = x, x Є R}, then

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If universal set is the set of real numbers R and A = {x|-5 < x ≤ 2, x Є Z}, B = {-3, 0, 1} and C = {a, b, c}, then (A ∩ B)’ ∩ C is given by

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What is the magnitude of a point charge due to which the electric field 30 cm away has the magnitude 3 newton/coulomb [1/4π ε 0 =9×

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The packing efficiency of the two-dimensional square unit cell shown below

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The arrangement of X- ions around A+ io in solid AX is given in the figure (not drawn to scale). If the radius of X- is 250 pm, the radius of A+ is

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If the value of resistance is 10.845 ohms and the value of current is 3.23 amperes, the potential difference is 35.02935 volts. Its value in significant number would be

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The  pressure  of 107  dyne/cm2  is  equivalent  to

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The least count of a stop watch is 1/5 sec.The time of 20 oscillations of a pendulum is measured to be 25 sec. The minimum percentage error in the measurement of time will be

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The heat generated in a circuit is given by H = I2Rt joule where I is current, R is resistance and t is time. If the percentage error in measuring heat will be

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The radius of a sphere is 2.6±0.1 m .The percentage error in its volume is

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The nearest neighbour silver atoms in silver crystal are 2.87 x 10-10 m apart. Silver crystallizes in fcc form. (Atomic mass of Ag = 108). Density of the silver metal is:

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Three forces starts acting simultaneously on a particle moving with velocity v. These forces are represented in magnitude and direction by the three sides of a triangle ABC (as shown). The particle will now move with velocity  

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If the force on a rocket moving with a velocity of 300 m/s is 210 N, then the rate of combustion of the fuel is

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A monkey of mass 20 kg is holding a vertical rope. The rope will not break when a mass of 25 kg is suspended from it but will break if the mass exceeds 25 kg. What is the maximum acceleration with which the monkey can climb up along the rope (Take g=10m/s2

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In figure are shown charges q1 = + 2 × 10–8 C and q2 = – 0.4 × 10–8 C. A charge q3 = 0.2 × 10–8 C in moved along the arc of a circle

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Given a number of capacitors labelled as 8mF, 250 V. Find the minimum number of capacitors needed to get an arrangement equivalent to 16 mF, 1000 V                   &n

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What is the effective force between two charges as compared to force between same two charges placed at same distance.

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Two point charges of charge q 1

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Two equal positivecharges are fixed at (-a,0) and (a,0) and a negative charge is placed at (0,2a) .What would be the motion of negative charge.

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When (NH4)2Cr2O7 is heated, the gas evolved is

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In the Bohr’s model of hydrogen atom, the electrons moves around the nucleus in a circular orbit of a radius 5 * 10–11 metre. It’s time period is 1.5 ´ 10–16 sec. The current associated is       

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The resistance of a wire at 20oC is 20 W and at 500oC is 60W. At which temperature resistance will be 25W [UPSEAT 1999]

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Standard reduction potentials at 25°C of Li+/Li, Ba2+/Ba, Na+/Na and Mg2+/Mg are -3.05, -2.90, -2.71 and -2.37 volt respectively. Which one of the following is the strongest oxidizing agent?

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Without losing its concentration ZnCl2 solution cannot be kept in contact with

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The equivalent conductances of Ba+2 and Cl- are 127 and 76 ohm-1 cm-1 eq-1 respectively at infinite dilution. The equivalent conductance of BaCl2 at infinite dilution will be

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4.5 g of aluminium (at. mass 27 u) is deposited at cathode from Al3+ solution by a certain quantity of electric charge. The volume of hydrogen produced at STP from H+ ions in solution by the same quantity of electric charge will be

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A wire of length 2m is made from 10 cm3 of copper. A force F is applied so that its length increases by 2 mm. Another wire of length 8 m is made from the same volume of copper. If the force F is applied to it, its length will inc

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 The Young’s modulus of a wire of length L and radius r is Y N/m2. If the length and radius are reduced to L/2 and r/2, then its Young’s modulus will be          

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The graph shows the behaviour of a length of wire in the region for which the substance obeys Hooke’s law. P and Q represent

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In the circuit shown the readings of ammeter and voltmeter are 4A and 20V respectively. The meters are non-ideal, then R is

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What will be the equivalent resistance of circuit shown in figure between points A and D           [CBSE PMT 1996]

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One mole of an ideal gas at 300K is expanded isothermally from an initial volume of 1 L to 10 L. The ?E for this process is (R = 2 cal mol-1K-1) [1998]

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 In a closed insulated container a liquid is stirred with a paddle to increase the temperature, which of the following is trure? [2002]

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 Identify the correct statement for change of Gibb’s energy for a system (?Gsystem) at constant temperature and pressure. [2006]

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For the reaction 2N2O5 ? 4NO2 + O2, rate and rate constant are 1.02 x 10-4 and 3.4 x 10-5 x-1 respectively, then conc of N2O5 at that time will be [2001]

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If the rate of a reaction is equal to the rate constant, the order of the reaction is [2003]

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The rate of reaction between two reactions A and B decreases by a factor of 4, if the concentration of reaction B is doubled. The order of this reactions with respect to reactant B is [2005]

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Half-life period of a first order reaction is 1386 s. The specific rate constant of the reaction is [2009]

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In a first order reaction A ? B, if k is rate constant and initial concentration of the reactant A is 0.5 M, then the half-life is [2007]

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If the rate of a reaction is equal to the rate constant, the order of the reaction is      [2003]

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Half-life period of a first order reaction is 1386 s. The specific rate constant of the reaction is [2009]

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For a first order reaction A à B, the reaction rate at reactant concentration of 0.01 M is found to be 2.0 x 10-5 mol L-1s-1. The half-life period of the reaction is [2005]

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For adsorption of a gas on a solid, the plot of log(x/m) vs log p is linear with slope equal to (n being a whole number) [1994, 2006]

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The Langmuir adsorption isotherm is deducted by using the assumption that [2007]

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Methanol is industrially prepared by [1992]

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Replacement of Cl of chlorobenzene to give phenol requires drastic conditions but chlorine of 2, 4-dinitro chlorobenzene is readily replaced. This is because [1997]

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How many isomers of C5H11OH will be primary alcohols? [1992]

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HBr reacts faster with [1992]

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The electric field, at a distance of 20 cm from the centre of a dielectric sphere of radius 10 cm is 100 V/m. The ‘E’ at 3 cm distance from the centre of sphere is            &n

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A force applied by an engine of a train of mass 2.05 * 106 Kg changes its velocity from 5 m/s to 25 m/s in 5 minutes. The power of the engine is                  

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When a beam of light is used to determine the position of an object, the maximum accuracy is achieved if the light is   [AIIMS 2003]

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Two coherent monochromatic light beams of intensities I and 4I are superposed. The maximum and minimum possible intensities in the resulting beam are                [IIT-JEE 1988; AIIMS 1997; MP PMT

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Coordination number of Ni in [Ni(C2O4)3]4- is

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The chirality of the compound

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An element X occurs in short period having configuration ns2 np1. The formula and nature of its oxide is

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With which of the following electronic configuration an atom has the lowest ionisation enthalpy? [AIPMT 2007]

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 When copper is treated with a certain concentration of nitric acid, nitric oxide and nitrogen dioxide are liberated in equal volumes according to the equation, X Cu + y HNO3 ? Cu(NO3)2 + NO + NO2 + H2O The coeff

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The oxidation potentials of A and B are +2.37 V and +1.66 V respectively. In a chemical reaction,

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The partial ionic equation, Cr2O2-7 + 14 H+ + 6 e- ? 2 Cr3+ + 7 H2O Suggests that the equivalent weight of Cr2O2-7 will be equal to its formula weight divided by

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For the redox reaction, MnO-4 + C2O2-4 + H+ ? Mn2+ + CO2 + H2O          Correct stoichiometric coefficients of MnO

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Equivalent mass of oxidizing agent in the reaction, SO2 + 2H2S ? 3S + 2H2O is

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 When KMnO4 acts as an oxidizing agent and ultimately forms MnO-24, MnO2, Mn2O3 and Mn+2, then the number of electrons transferred in each case respectively is

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Ozazone formation involves only 2-carbon atoms of glucose because of

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The number of gram molecules of oxygen in 6.02 x 1024 CO molecules is [1990]

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After rounding off 34.216 to three significant digits we get 34.2

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A body is projected horizontally from the top of the building 39.2 m high.How long will it take to hit the ground

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A truck travelling due north at 20 m/s turns west and travels at the same speed. The change in its velocity be

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In a closed flask of 5L, 1.0 g of H2 is heated from 300 to 600 K. Which statement is not correct?

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A particle moves from position r1^=3i^+2j^+6k^

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A particle moves along the x-axis from x = x1   to x = x2  under the influence of a force given by F = 2x. Then work done in the process is

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A force of 2i^+3j^+4k^ N acts on a body for 4 sec and produces a displa

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If there was no CO2 in the earth’s atmosphere the temperature of earth’s surface would be

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A man fires a bullet of mass 200 g at a speed of 5 m/s. The gun is of one kg mass, by how much velocity the gun rebounds backwards

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A player caught a cricket ball of mass 150 gm moving at a rate of 20 m/s. If the catching process be completed in 0.1s, then the force of the blow exerted by the ball on the hands of the player is

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Gravels are dropped on a conveyor belt at the rate of 0.5 kg/sec. The extra force required in newtons to keep the belt moving at 2 m/sec is                     &nb

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The value of Planck’s constant is 6.62618 x 10-34 Js. The number of significant figures in it is:

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2 g of oxygen contain same number of atoms as contained by

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Flight and fight hormone is:                            (CPMT 2007)

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Adrenalin hormone increases :                                            &

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Which one of the following is wrong in relation to photorespiration?                      (2003)

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In photosystem-I the first electron acceptor is                                           

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Somatostatin is secreted by :                                  (up-CPMT 2010)

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There exists a function f(x) satisfying f(0) = 1, f’(0) = -1, f(x) > 0 for all x and [1982, 2M]

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Let [.] denotes the greatest integer function and f(x) = [tan2 x], then                             [1993, 1M]

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Forx∈R,limx→∞

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limh→0⁡f(2h+2

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 If f and g are differentiable functions in (0, 1) satisfying f(0) = 2 = g(1), g(0) = 0 and f(1) = 6, then for some c ∈ ] 0, 1[  [2014 Main]

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The domain of definition of f(x) = sin-1 (|x – 1|-2) is:

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Range of f(x) = log (3x2 – 4x + 5) is

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Let f(x) be a function whose domain is [-5, 7]. Let g(x) = |2x + 5|. Then domain of (fog) (x) is

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Amino acids are mostly synthesized from                (1992)

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Which one of the following mineral elements plays an important role in biological nitrogen fixation?                                &n

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Conversion of starch to organic acid is essential for                                        &

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Guttation is caused by                                              &

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Water enters a cell due to                                             &nb

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Stomata of CAM plants                                              &n

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How many ATP molecules are produced by aerobic oxidation of one molecule of glucose?                                    

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The fundamental period of the function, f(x) = x + a – [x + b] + sin πx + cos 2πx + sin 3πx + cos 4πx + ……….+sin (2n – 1) πx + cos2 nπx for every a, b ∈ R is : (where [ ] denotes the greatest integer function)

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If f(1) = 1 and f(n + 1) = 2f(n) + 1 if n ≥ 1, then f(n) is equal to

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Abscisic acid controls                                  (1990, 93, 99, 2000)

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Dwarfness can be controlled by treating the plant with                                  (1992, 2002)

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Ratio of Cp and Cv of a has ‘x’ is 1.4. The number of atoms of the gas ‘x’ present in 11.2 L of it at NTP will be                      &nb

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The molecular weight of O2 and SO2 are 32 and 64 respectively. At 15 degree C and 150 mmHg pressure, 1 L of O2 contains ‘N’ molecules. The number of molecules in 2 L of SO2 under the same conditions of temperature and pressure will be&nbs

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The total number of valence electrons in 4.2 g of N3- ion is (NA is the Avogadro’s number)                            &n

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Liquid benzene (C6H6) burns in oxygen according to the equation 2C6H6(l) + 1502(g) --> 12CO2(g)+ 6H2O(g) How many liters of O2 at STP are needed to complete the combustion of 39 g l

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In DNA, the complementary  bases are                                 (1998, 2008)

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Which one of the following is correct about H-bonding in nucleotide?     (2001)

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Vitamin B12 contains                                            

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Number of chiral carbon atoms in βD (+) glucose is                     (2004)

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Although much CO2  is carried in blood, yet blood does not become acidic, because                                 &nbs

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The haemoglobin of a human foetus                                           &nb

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In a population, unrestricted reproductive capacity is called                (2002)

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Which one of the following is the correct statement regarding the particular psychotropic drug specified?                                &n

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Flight and fight hormone is:                                            &n

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Which hormone is responsible for milk ejection after the birth of the baby ?                                                              &

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Somatostatin is secreted by :                                      (up-CPMT 2010)

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Given below is an incomplete table about certain hormones, their source glands and one major effect of each on the body of humans. Identify the correct option for the blanks A, B and C :  (CBSE 2011)

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In the final answer of the expression 29.2-20.2(1.79x10

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A sample was weighted using two different balances. The results were 3.929 g 4.0 g How would the weight of the sample reported?

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The number of moles of oxygen in 1 L of air containing 21% oxygen by volume, under standard conditions, is [1995]

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The number of atoms in 4.25 g of NH3 is approximately [1999]

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Sin12ο.sin48ο.sin54ο is equal to

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cos 2π/7 + cos 4π/7 + cos 6π/7 is equal to

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If sin θ + cosec θ = 2, then sin2 θ + cosec2 θ is equal to

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If  (1 + tan θ)(1 + tan φ) = 2, then θ + φ is equal to

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The vapour density of a gas is 11.2. The volume occupied by 11.2 g of the gas at NTP will be

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The volume occupied by 4.4 g of CO2 at STP is

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The value of cos2π7+ cos4π7+ cos

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The weight of a molecule of the compound C60H122 is

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If A+B+C=270ο, then cos 2A + cos 2B +cos 2C+4 sin A sin B sin C is equal to

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If 0.44 g of a colourless oxide of nitrogen occupies 224 ml at 1520 mm Hg and 273°C, then the compound is

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10 g CaCO3 gives on strong heating CO2. It gives quicklime (in grams)

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The number of atoms in 4.25 g of NH3 is approximately

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How much of NaOH is required to neutralize 1500 cm3 of 0.1 N HCl? (Na = 23)

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250 ml of a sodium carbonate solution contains 2.65 grams of Na2CO3. If 10 ml of ml of this solution is diluted to one litre, what is the concentration of the resultant solution?

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In a chemical reaction K2Cr2O7 + xH2SO4 + ySO2 ? K2SO4 + zCr2(SO4)3 + H2O The values of x, y, z are

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The set of numerical coefficients that balances the equation K2CrO4 + HCl ? K2Cr2O7 + KCl + H2O IS

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Calculate the density of N2 gas at S.T.P.?

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A mixture of CO and CO2 is found to have a density of 1.5 g/L at 30°C and 740 torr. What is the composition of the mixture.

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A mole of N2H4 loses ten moles of electrons to form a new compound Y. Assuming that all the nitrogen appears in the new compound, what is the oxidation state of nitrogen in Y? (there is no change in the oxidation number of hydrogen)

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Without losing its concentration, ZnCl2 solution cannot be kept in contact with

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In the given reaction K2Cr2O7 + XH2SO4 + YSO2 ? K2SO4 + Cr2(SO4)3 + ZH2O X, Y, Z are

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Number of moles of K2Cr2O7 reduced by 1 mole of Sn2+ is

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Standard electrode potentials are Fe2+/FeE° = -0.44 V Fe+3/Fe+2E° = 0.77 V Fe+2, Fe+3 and Fe blocks are kept together, then

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A solution containing one mole per litre of each Cu(NO3)2 ; AgNO3 ; Hg2(NO3)2 ; Mg(NO3)2 is being electrolysed by using inert electrodes. The values of standard electrode potentials in volts are:

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An element forms compounds of the type MCl3, M2O5 and Ca3M2 but does not form MF5. The element could be:

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Which of the following molecules have dipole moment? (i) BeF2   (ii) BF3   (iii) NF3  (iv) H2S

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Vagus nerve is                                              &nbs

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What used to be described as Nissl’s granules in a nerve cell are now identified as                                  &

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The electronic configuration of an element is 1s2, 2s2, 2p6, 3s23p3. What is the atomic number of the element, which present just below the above element in the periodic table?

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The elements A and B have the following electronic configurations: A : Is2 2s2 2p6 3s2 3p4 B : Is2 2s2 2p6 3s2 3p2 A and B are likely to form a compoun

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In which one of the following molecules, the central atom said to adopt sp2- hybridisation?

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The number of anti-bonding electron pairs in O22- molecular ion on the basis of molecular orbital theory is (At no of 0 is 8)

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Which of the following species has bond order equal to 11/2?

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The oxidation state of Cr in K2Cr2O7 is

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Among the following alkenes, 1-butene            cis-2-butene                     trans-2-butene    &n

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When acetylene is passed through dil H2SO4 in presence of HgSO4, the compound formed is

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 Which of the following elements is responsible for oxidation of water to O2 in biological processes?

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The atomic mass of an element is 60.2 amu and its density is 6.25 gm cm-3. The edge length of unit cell with be:

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2-bromopentane is heated with potassium ethoxide in ethanol. The major product obtained is

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In the fluorite structure, the coordination number of Ca2+ ion is:

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NaCl with density of 2.165 g cm-3 crystallises in fcc lattice. Its edge length (a) is:

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The non stoicheometric compound Fe0.94O is formed when x% of Fe2+ ions are replaced by as many 23Fe3+ ions, x is  

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In ZnS crystals, the S2- ions are present in:

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 CF2 = CF2 is a monomer of

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Vitamin B12 contains

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A Substance ‘A’ decomposes by a first order reaction starting initially with [A] = 2.00 m and after 200 min, [A] becomes 0.15 m. For this reaction t1/2 is

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The greatest height to which a man can throw a stone is H. The greatest distance up to which he can throw the stone is (H/2). 

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If law of conservation of mass was to hold true, then 20.8 gm of BaCl2 on reaction with 9.8 gm of H2SO4 will produce 7.3 gm of HCl and BaSO4 equal to:

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A sample of AlF3 contains 3.0 x 1024 F ions. The number of formula unit of this sample are

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On analysis a certain compound was found to contain iodine and oxygen in the ratio of 254 gm of iodine (atomic mass 127) and 80 gm oxygen (at mass=16). What is the formula of the compound.

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The ratio of the molar amounts of H2S needed to precipitated the meal ions form 20 ml each of 1 M Ca(NO3)2 and 0.5 M CuSO4 is

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Which one of the following is not correctly matched? [2001]

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Magnetic field due to a current carrying loop or a coil at a distant axial point P is B1 and at an equal distance in it's plane is B2 then B1/B2 is

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A long solenoid has 200 turns per cm and carries a current of 2.5 A. The magnetic field at its centre is [m0 = 4p ´ 10–7 Wb/m2]

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Electrons move at right angles to a magnetic field of Tesla with a speed of 6 X 1027 m/s. If the specific charge of the electron is 1.7 x 1011 Coul/kg. The radius of the circular path will be            &n

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A proton and an particle enter a uniform magnetic field perpendicularly with the same speed. If proton takes 25 µsec to make 5 revolutions, then the periodic time for the particle would be         

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What type of hybridisation is involved for carbon in linear CO2 molecule?

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CO2 is isostructural with:

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For the redox reaction, MnO-4 + C2O2-4 + H+ ? Mn2+ + CO2 + H2O The correct coefficients of the reactants for the balanced reaction are: MnO-4

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The oxidation number of sulphur in S8, S2F2, H2S respectively, areThe oxidation number of sulphur in S8, S2F2, H2S respectively, are

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2.76 gm of silver carbonate (at mass of Ag 108) on being heated strongly yield a residue weighing

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If 3.01 x 1020 molecules are removed from 98 mg of H2SO4, then the number of moles of H2SO4 left are

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The hydrated salt Na2CO3. xH2O undergoes 63% loss in mass on heating and becomes anhydrous. The value of x is

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A chloride of a metal (M) contain 65.5% of chlorine. 100 ml of vapour of the chloride of metal at STP weights 0.72g. The molecular formula of the metal chloride is

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A gas mixture of 3 litre of propane (C3H8) and butane (C4H10) on complete combustion at 25°C produced 10 litre CO2. Find out the composition of gas mixture ( Propane : Butane)

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1 mole of mixture of CO and CO2 requires exactly 28 g KOH in solution for complete conversion of all the CO2 into K2CO3. How much amount more of KOH will be required for conversion into K2CO3. If one mole of mixture is completel

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2.24 ml of a gas ‘X’ is produced at STP by the action of 4.6 mg of alcohol (ROH) with methyl magnesium iodide the molecular mass of alcohol and the gas ‘X’ are respectively.

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In the standardization of Na2S2O3 using K2Cr2O7 by iodometry, the equivalent weight of K2Cr2O7 is

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If we consider that 1/6, in place of 1/12, mass of carbon atom is taken to be the relative atomic  mass unit, the mass of one mole of the substance will

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55 g Ba(MnO4)2 sample containing inert impurity is completely reaction with 100 mL of 56 ‘vol’ strength of H2O2, then what will be the percentage purity of Ba(MnO4)2 in the sample? (Ba – 137, Mn – 55)

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Standard electrode potential data are useful for understanding the suitability of an oxidant in a redox titration. Some half cell reactions and their standard potentials are given below: MnO-4­ (aq) + 8H+ (aq) + 6e- ? Mn2+ (

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Assuming fully decomposed, the volume of CO2 released at STP on heating 9.85 g of BaCO3 (atomic mass of Ba = 137) will be

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Number of moles of K2Cr2O7 reduced by 1 mole of

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The mass of BaCO3 produced when excess CO2 is bubbled through a solution of 0.205 mol Ba(OH)2 is

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A charge + q and a charge –q are placed at x = +a and x = -a, respectively as shown in fig. 12.1. The variation of E is plotted a function of x by assuming positive E as oriented along the positive x-axis. Identify the correct variation of E along the x-axis.

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Eo for the cell, Zn | Zn2+ (aq)||Cu2+(aq)|Cu is 1.10 V at 25oC. The equilibrium constant for the reaction,                        

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On the basis of the information available from the reaction 4/3 Al + O2-->2/3 Al2O3, ΔG = 827 Kj mol-1 of O2, the minimum emf required to carry out the electrolysis of Al2O3 is (F = 96500 C mol

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EOFe2+ / Fe = -0.441 V and EOFe3+ / Fe2+ = 0.771 V the standard emf of the reaction Fe + 2 Fe3+ --> 3Fe2+ will be           &

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Standard free energies of formation (in kJ/mol) at 298 K are -237.2, -394.4 and -8.2 for H2O(l), CO2(g) and pentane (g), respectively. The value of EOcell for the pentane-oxygen fuel cell is            &nbs

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Given, Cu2+ + 2e? --> Cu;                Eo = 0.337 V Cu2+ + e? --> Cu+;&nb

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If the sum of the first 2n terms of the AP series 2, 5, 8,……, is equal to the sum of the first n terms of the AP series 57, 59, 61,……, then n equals

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If log 2, log (2x – 1) and log (2x + 3) are in A.P., then x is equal to

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The set of values of x for which (1/1 + (x)1/2), (1/1 – x), (1/1 – (x)1/2) are in A.P is given by

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A compound contains atoms of three elements A, B, and C. If the oxidation number of A is +2, B is +5 and that of C is -2, the possible formula of the compound is

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An element having bcc structure has 12.08 x 1023 unit cells. The number of atoms in these cells is

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N2O4 is 20% dissociated at 27° C and 760 torr. The density of the equilibrium mixture is

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The values of x and y in the following redox reaction, x Cl2 + 6OH- ? ClO3- + y Cl- + 3H2O are

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(x) MnO-4 + (y) H2O2 ? 2Mn+2 + 5H2O + 9O2 + (z)e- In this reaction the value of (x), (y) and (z) are

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Standard electrode potentials are Fe2+/FeE° = -0.44 V Fe+3/Fe+2E° = 0.77 V Fe+2, Fe+3 and Fe blocks are kept together, then

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The number of geometrical isomers of the complex [Co(No2)3(NH3)3 is

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Atomic number of Cr and Fe are respectively 24 and 26, which of the following is paramagnetic with the spin of electron?

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[Co(NH3)4(NO2)2]Cl exhibits

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H2O has a net dipole moment while BeF2 has zero dipole moment because

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Select the law that corresponds to the data shown for the following reaction: A + B → Products Expt.                   [A]           &nbs

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In preparation of alkene from alcohol using Al2O3, which is effective factor?

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 Let f(x) = x|x| and g(x) = sin x.     Statement-1: gof is differentiable at x = 0 and its derivative is continous at that point.    Statement-2: gof is twice differentiable at x = 0.

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If (x) =ax2+b,x≤

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 Let ρ be the relation on the set R of all real numbers defined by a ρ b if |a-b| ≤ 1/2. Then ρ is

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The lines p(p2+1)x-y+q=0 and (p2+1)2 x+(p2+1)y+2q=0 are perpendicular to a common line for

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The relation R = {(1, 1), (2, 2), (2, 3)} on the set {1, 2, 3} is

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If u = 2z+5iz-3and |u| = 2, then locus of z is a

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1+i2+i4+…+i2n is

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If the imaginary part of 2z+1iz+1 -2, then the locus of the point representing z in the complex plane is

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The number of ways of selecting two numbers from the set {1, 2… ..12} whose sum is divisible by 3 is

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Perpendicular is drawn from the point (0, 3, 4) to the plane 2x – 2y + z = 10. The coordinates of the foot of the perpendicular are

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The straight lines whose direction cosines are given by al + bm + cn = 0, fl2 + gm2 + hn2 = o are parallel to

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The equation of the sphere which passes through the points (1, -3, 4), (1, -5, 2) and (1, -3, 0) and whose centre is on the plane x + y +z = 0 is

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The gravitational potential in a region is given by V = (3x + 4y + 12z) J/kg. The modulus of the gravitational field at (x = 1, y = 0, z = 3) is

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Two parallel, long wires carry currents i1 and i1 with i1>i2. When the currents are in the same direction, the magnetic field at a point midway between the wires is 10 mT. If the direction of i1 is reversed, the field becomes 3

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Two infinite length wires carries currents 8A and 6A respectively and placed along X and Y-axis. Magnetic field at a point P (0, 

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Figure shows a square loop ABCD with edge length a. The resistance of the wire ABC is r and that of ADC is 2r.

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The gravitational potential in a region is given by V = (3x + 4y + 12z) J/kg. The modulus of the gravitational field at (x = 1, y = 0, z = 3) is  

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A spherical shell is cut into two pieces along a chord as shown in the figure. P is a point on the plane of the chord. The gravitational field at P due to the upper part is I1  and that due to the lower part is I2. What is the relation between them

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If T2/T3 in the expansion of (a+b)n and T3/T4 in the expansion of (a+b)n+3 are equal, then n is equal to

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If fourth term in (px+1/x)n is independent from x and is 5/2. Then the values of n and p are

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The value of x, for which the 6th term in the expansion of 2log2xx

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In the expansion of x+1x2/3-x1/3

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The equations of the lines representing the sides of a triangle are 3x-4y=0, x+y=0 and 2x-3y=7. The line 3x+2y=o always passes through the

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The equation 5x2-12xy+4y2=0 represents

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The distance between the lines 2x+3y=5 and 2x+3y=8 is

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Orthocentre of the triangle with vertices (0, 2), (1, 1) and (2, 2) is

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Indian play matches each with West Indies and Australia. In any match the probabilities of India getting points 0, 1 and 2 are 0.45, 0.05 and 0.50 respectively. Assuming that the outcomes are independent, the probability of India getting at least 7 points is

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A bag contains for tickets marked with numbers 112, 121, 211, 222. One ticket is drawn at random from the bag. Let Ei (i=1, 2, 3) denote the event that the digit on the ticket is 2. Then

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A student appears for test I, II and III. The student is successful, is he passes either in tests I and II or in tests I and III. The probabilities of the student passing in tests I, II and III are p, q and 1/2 respectively. If the probability that the student is successful is 1/2, then

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Electrons move at right angles to a magnetic field of 1.5 x 10-2Tesla with a speed of 6 x 1027m/s. If the specific charge of the electron is 1.7 x 1011 Coul/kg. The radius of the circular path will be

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Figure shows the cress sectional view of the hollow cylindrical conductor with inner radius 'R' and outer radius '2R', cylinder carrying uniformly distributed current along it's axis. The magnetic induction at point 'P' at a distance 3R/2

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A proton of mass m and charge +e is moving in a circular orbit of a magnetic field with energy 1MeV. What should be the energy of a-particle (mass = 4 m and charge = +2e), so that it can revolve in the path of same radius

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A proton of mass 1.67 x 10-27kg  and charge 1.6 x 10-19C is projected with a speed of 2 x 106 at an angle of 600 to the X-axis. If a uniform magnetic field of 0.104 Tesla is applied along Y-axis, the

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A circular loop of radius a, carrying a current i, is placed in a two-dimensional magnetic field. The centre of the loop coincides with the centre of the field. The strength of the magnetic field at the periphery of the loop is B. Find the magnetic force on the wire

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A circular loop of area 1 cm2, carrying a current of 10 A, is placed in a magnetic field of 0.1 T perpendicular to the plane of the loop. The torque on the loop due to the magnetic field is

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A long wire A carries a current of 10 amp. Another long wire B, which is parallel to A and separated by 0.1 m from A, carries a current of 5 amp. in the opposite direction to that in A. What is the magnitude and nature of the force

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An infinitely long, straight conductor AB is fixed and a current is passed through it. Another movable straight wire CD of finite length and carrying current is held perpendicular to it and released. Neglect weight of the wire

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Two very long straight, particle wires carry steady currents i and – i respectively. The distance between the wires is d. At a certain instant of time, a point charge q is at a point equidistant from the two wires, in the plane of the wires. It's i

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Among the 8! permutations of the digits 1, 2, 3,…,8 consider those arrangement which have the following property: if your take any five consecutive positions, the product of the digits in those positions is divisible by 5. The number of such arrangements is

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A particle from origin in a Cartesian co-ordinate plane is to be carried to point (4, 4) such that the movement of the point at a line is either along x-axis or along y-axis. One of such way is (0, 1), (1, 1), (1, 2), (1, 3), (2, 3), (3, 3), (4, 3), (4, 4). The total number of such ways is

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A ball is dropped from a spacecraft revolving around the earth at a height of 120 km. What will happen to the ball

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If 10Cx-1>210Cx, then

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A circular loop of radius a, carrying a current i, is placed in a two-dimensional magnetic field. The centre of the loop coincides with the centre of the field. The strength of the magnetic field at the periphery of the loop is B. Find the magnetic force on the wire

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A long wire A carries a current of 10 amp. Another long wire B, which is parallel to A and separated by 0.1 m from A, carries a current of 5 amp. in the opposite direction to that in A. What is the magnitude and nature of the force

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Two infinite length wires carries currents 8A and 6A respectively and placed along X and Y-axis. Magnetic field at a point P (0, 

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A circular coil of radius 4 cm has 50 turns. In this coil a current of 2 A is flowing. It is placed in a magnetic field of 0.1 weber/m2. The amount of work done in rotating it through 180o from its equilibrium position will be

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A proton of mass m and charge +e is moving in a circular orbit of a magnetic field with energy 1MeV. What should be the energy of a-particle (mass = 4 m and charge = +2e), so that it can revolve in the path of same radius

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 Find the position of point from wire 'B' where net magnetic field is zero due to following current distribution

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Wires 1 and 2 carrying currents f1 and f2 respectively are inclined at an angle θ to each other. What is the force on a small element dl of wire 2 at a distance of r from 1 (as shown in figure) due to the magnetic field of wire 1

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An equilateral triangle of side 'a' carries a current i then find out the magnetic field at point P which is vertex of triangle

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Figure shows a square loop ABCD with edge length a. The resistance of the wire ABC is r and that of ADC is 2r. The value of magnetic field at the centre of the loop assuming uniform wire is

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Find magnetic field at centre O in each of each of the following figure

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Find magnetic field at centre O in each of the following figure

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A metallic block carrying current i is subjected to a uniform magnetic induction B as shown in the figure. The moving charges experience a force F given by ……. which results in the lowering of the potential of the face ……. Assume the speed

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Electrons move at right angles to a magnetic field of 1.5 x 10-2Tesla with a speed of 6 x 1027m/s. If the specific charge of the electron is 1.7 x 1011 Coul/kg. The radius of the circular path will be     &nbs

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The magnetic moment produced in a substance of 1gm is 6 x 10-7ampere-metre2. If its density is 5gm/cm3, then the intensity of magnetisation in A/m will be

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Earth's magnetic field may be supposed to be due to a small bar magnet located at the centre of the earth. If the magnetic field at a point on the magnetic equator is 0.3×10–4 T. Magnet moment of bar magnet is

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A magnet is suspended in such a way that it oscillates in the horizontal plane. It makes 20 oscillations per minute at a place where dip angle is 30o and 15 oscillations per minute at a place where dip angle is 60o. The ratio of total earth's magnetic field at the two

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A magnet makes 40 oscillations per minute at a place having magnetic field intensity BH=0.1 x 10-5. At another place, it takes 2.5 sec to complete one-vibration. The value of earth's horizontal field at that place

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When 2 amp. current is passed through a tangent galvanometer, it gives a deflection of 30°. For 60° deflection, The current must be

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At a place the earth's horizontal component of magnetic field is 0.38 x 10-4weber/m2. If the angle of dip at that place is 60°, then the vertical component of earth's field at that place in weber/m2 will be approximately

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A magnetising field of 2000 A/m produces a flux 6.28 x 10-4 weber in a rod. If the area of cross-section is 2 x 10-5m2. Then the relative permeability of the substance is

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For iron it's density is 7500 kg/m3 and mass 0.075 kg. If it's magnetic moment is 8 x 10–7 Amp x m2, it's intensity of magnetisation is

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If coefficient of xn in (1 + x)101 (1 – x + x2)100 is non-zero, then n cannot be of the from

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If in the expansion of ((1/x) + x tan x)5 the ratio of the 4th them to the 2nd is (2/27) π4, the value of x is

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For iron it's density is 7500 kg/m3 and mass 0.075 kg. If it's magnetic moment is 8 x 10–7 Amp x m2, it's intensity of magnetisation is

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In the binomial expansion of (1 + x)14, if the coefficients of the (r + 1)th, (r + 2)th and (r + 3)th terms are in A.P., then 12Cr equals

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If the coefficient of x100 in 1 + (1 + x) + (1 + x)2 + ….+ (1 + x)n (where n ≥ 100) is 201C101, then n=

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The time period of a freely suspended magnet is 2 sec. If it is broken in length into two equal parts and one part is suspended in the same way, then its time period will be

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Earth's magnetic field may be supposed to be due to a small bar magnet located at the centre of the earth. If the magnetic field at a point on the magnetic equator is 0.3×10–4 T. Magnet moment of bar magnet is

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 A magnet is suspended in such a way that it oscillates in the horizontal plane. It makes 20 oscillations per minute at a place where dip angle is 30o and 15 oscillations per minute at a place where dip angle is 60o. The ratio of total earth's magnetic field at t

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A magnet makes 40 oscillations per minute at a place having magnetic field intensity BH=0.1 x 10-5. At another place, it takes 2.5 sec to complete one-vibration. The value of earth's horizontal field at that place

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The coefficient of range of the weights of 10 students from the following data: 41, 20, 15, 65, 73, 84, 53, 35, 71, 55 is

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You are provided with the following raw data of two variables x and y. Σx = 235, Σy = 250, Σx2 = 6750, Σy2 = 6840. Ten pairs of values are included in the survey. The standard deviations are

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The coefficient of variation of a series is 50. Its S.D. is 21.2. The S.D. 21.2. Its arithmetic mean is

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The number of children in 25 families of a locality are recoded as follow: 3, 1, 4, 0, 2, 1, 1, 2, 3, 3, 2, 2, 2, 5, 0, 1, 4, 1, 2, 1, 2, 3, 0, 1, 4. Then mean number of children per family is

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A bar magnet with it's poles 25 cm apart and of pole strength 24 amp×m rests with it's centre on a frictionless pivot. A force F is applied on the magnet at a distance of 12 cm  from the pivot so that it is held in equilibrium at

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A bar magnet has a magnetic moment of 2.5JT-1 and is placed in a magnetic field of 0.2T. Work done in turning the magnet from parallel to anti-parallel position relative to field direction is

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Two identical magnetic dipoles of magnetic moments 1.0 A-m2 each, placed at a separation of 2m with their axis perpendicular to each other. The resultant magnetic field at a point midway between the dipoles is

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A tower AB leans towards west making an angle α with the vertical. The angular elevation of B the top most point of the tower is β as observed from a point C due east of A at a distance d from A. if the angular elevation of B from a point due east of C at a distance 2d from C is &ga

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A line passes through the points (6, -7, -1) and (2, -3, 1). The direction cosines of the line so directed that the angle made by it with positive direction o x-axis is acute, are

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If the equation px2+y2+qz2+2yz+zx+3xy=0 represents a pair of perpendicular planes, then p-q=

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The angle between the lines direction cosines are given by 3l+4m+5n=0, l2+m2-n2=0 is

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A plane moves such that the volume of the tetrahedron formed by with the coordinate planes is a constant k. The locus of the foot of perpendicular drawn from the origin to the plane os (x2+y2+z2)3=

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One mole of Q2 gas having a volume equal to 22.4 litres at 0°C and 1 atmospheric pressure in compressed isothermally so that its volume reduces to 11.2 litres. The work done in this process is [MP PET 1993; BVP 2003]

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Two samples A and B of a gas initially at the same pressure and temperature are compressed from volume V to V/2 (A isothermally and B adiabatically). The final pressure of A is        

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Molar specific heat of oxygen at constant pressure Cp=7.2 cal/mol/oC and R = 8.3 J/mol/K. At constant volume, 5 mol of oxygen is heated from 10°C to 20°C, the quantity of heat required is approximately

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A Carnot engine takes 103 kcal of heat from a reservoir at 627°C and exhausts it to a sink at 27°C. The efficiency of the engine will be

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A gas expands 0.25m3 at constant pressure 103 N/m2, the work done is [CPMT 1997; UPSEAT 1999; JIPMER 2001, 2002]

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A gas is compressed at a constant pressure of 50N/m2  from a volume of 10 m3 to a volume of 4m3. Energy of 100 J is then added to the gas by heating. Its internal energy is            &nb

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Water falls from a height of 210 m. Assuming whole of energy due to fall is converted into heat the rise in temperature of water would be (J = 4.3 Joule/cal)

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An ideal gas at 27°C is compressed adiabatically to 8/27 of its original volume. If γ=5/3, then the rise in temperature is

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In the following indicator diagram, the net amount of work done will be

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An ideal gas expands in such a manner that its pressure and volume can be related by equation PV2= constant. During this process, the gas is

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At 100°C the volume of 1kg of water is 10-3m3 and volume of 1 kg of steam at normal pressure is 1.67 m3. The latent heat of steam is 2.3 x 106 J/kg and the normal pressure is 105 N/m2. If 5 kg

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A cyclic process ABCD is shown in the figure P-V diagram. Which of the following curves represent the same process

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An ideal gas of mass m in a state A goes to another state B via three different processes as shown in figure. If Q1, Q2, and Q3 denote the heat absorbed by the gas along the three paths, then       

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A cyclic process for 1 mole of an ideal gas is shown in figure in the V-T, diagram. The work done in AB, BC and CA respectively

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If γ = 2.5 and volume is equal to 1/8 times to the initial volume then pressure P ¢ is equal to (initial pressure = P)

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Hailstone at 0°C falls from a height of 1 km on an insulating surface converting whole of its kinetic energy into heat. What part of it will melt (g=10m/s2)

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A thermodynamic system is taken through the cycle PQRSP process. The net work done by the system is

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Work done by a system under isothermal change from a volume V1 to V2 for a gas which obeys Vander Waal's equation (V−βn)(P+

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The latent heat of vaporisation of water is 2240 J/gm. If the work done in the process of expansion of 1g is  168 J, then increase in internal energy is

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In the following indicator diagram, the net amount of work done will be

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 At 100°C the volume of 1kg of water is 10-3m3 and volume of 1 kg of steam at normal pressure is 1.67 m3. The latent heat of steam is 2.3 x 106 J/kg and the normal pressure is 105 N/m2. If 5

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A gas expands 0.25m3 at constant pressure 103 N/m2, the work done is

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An ideal gas at 27°C is compressed adiabatically to 8/27 of its original volume. If γ=5/3, then the rise in temperature is

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An ideal gas expands in such a manner that its pressure and volume can be related by equation PV2= constant. During this process, the gas is

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The weight of a person is 60 kg. If he gets 105 calories heat through food and the efficiency of his body is 28%, then upto how much height he can climb (approximately)

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One mole of Q2 gas having a volume equal to 22.4 litres at 0°C and 1 atmospheric pressure in compressed isothermally so that its volume reduces to 11.2 litres. The work done in this process is

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A plane wave is represented by x = 1.2 sin (314 t + 12.56 y) where x and y are distances measured along in x and y direction in meter and t is time in seconds. This wave has            

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A simple harmonic progressive wave is represented by the equation y = 8 sin 2π (0.1x – 2t) where x and y are in cm and t is in seconds. At any instant the Phase difference between two particles separated by 2.0 cm

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The equation of displacement of two waves are given as y1 = 10 sin (3πt + (π /3));  y2 = 5 [sin3 πt + (3)1/2 cos 3 πt] Then what is the ratio of their amplitudes         

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A source of sound of frequency 90 vibration/sec is approaching a stationary observer with a speed equal to 1/10 the speed of sound. What will be the frequency heard by the observer                 

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A plane wave is described by the equation y = 3 cos ((x/4) – 10 t – (π/2)). The maximum velocity of the particles of the medium due to this wave is

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If amplitude of waves at distance r from a point source is A, the amplitude at a distance 2r will be

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The equation of a stationary wave is y = 0.8 cos(πx/20) sin 200 π t where x is in cm. and t is in sec. The separation between consecutive nodes will be

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Two tuning fork A and B give 4 beats per second when sounded together. The frequency of A is 320 Hz. When some wax is added to B and it is sounded with A, 4 beats per second are again heard. The frequency of B is

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A gas at 27°C has a volume V and pressure P. On heating its pressure is doubled and volume becomes three times. The resulting temperature of the gas will be

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At which of the following temperature would the molecules of a gas have twice the average kinetic energy they have at 20°C

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At constant volume the specific heat of a gas is 3R/2, then the value of γ will be                                        &

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Hydrogen gas is filled in a balloon at 20°C. If temperature is made 40°C, pressure remaining same, what fraction of hydrogen will come out

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Let A and B the two gases and given : TA/MA=4.TB/MB; where T is the temperature and M is the molecular mass. If CA and CB are the rms speed, then the ratio CA/CB

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A balloon contains 500 m3 of helium at 27°C and 1 atmosphere pressure. The volume of the helium at – 3°C temperature and 0.5 atmosphere pressure will be

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Find the ratio of specific heat at constant pressure to the specific heat constant volume for NH3                                              

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A cylinder contained 10 kg of gas at pressure 107 N/m2. The quantity of gas taken out of cylinder if final pressure is 2.5 x 106 N/m is (assume the temperature of gas is constant)            &

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The adjoining figure shows graph of pressure and volume of a gas at two temperatures T1 and T2. Which of the following interferences is correct

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A box containing N molecules of a perfect gas at temperature T1 and pressure P1. The number of molecules in the box is doubled keeping the total kinetic energy of the gas same as before. If the new pressure is P2 and temperature T2, then &nb

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Energy of all molecules of a monoatomic gas having a volume V and pressure P is 3/2PV. The total translational kinetic energy of all molecules of a diatomic gas as the same volume and pressure is             &nb

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The specific heat at constant volume for the monoatomic argon is 0.075 kcal/kg-K whereas its gram molecular specific heat cv=2.98 cal/mole/K. The mass of the argon atom is (Avogadro’s number =6.02 x 1023 mole

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The capacity of a vessel is 3 litres. It contains 6 gm oxygen, 8 gm nitrogen and 5 gm CO2 mixture at 27°C. If R = 8.31 J/mole ´ kelvin, then the pressure in the vessel in N/m2 will

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An ideal gas (γ = 1.5) is expanded adiabatically. How many times has the gas to be expanded to reduce the root mean square velocity of molecules 2 times

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Two containers of equal volume contain the same gas at pressures P1 and P2 and absolute temperatures T1 and T2 respectively. On joining the vessels, the gas reaches a common pressure P and common temperature T. The ratio P/

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A flask is filled with 13 gm of an ideal gas at 27°C and its temperature is raised to 52°C. The mass of the gas that has to be released to maintain the temperature of the gas in the flask at 52°C and the pressure remaining the same is

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A vessel is partitioned in two equal halves by a fixed diathermic separator. Two different ideal gases are filled in left (L) and right (R) halves. The rms speed of the molecules in L part is equal to the mean speed of molecules in the R part. Then

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At constant volume the specific heat of a gas is 3R/2, then the value of γ will be

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The molecules of a given mass of a gas have a rms velocity of 200 m/sec at 27°C and 1.0 x 105 N/m2 pressure. When the temperature is 127°C and pressure is 0.5 x 105 N/m2, the rms velocity

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The equation of state corresponding to 8g of O2 is

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Temperature of an ideal gas is T K and average kinetic energy is E=2.07 x 10-23T Joule/molecule. Number of molecules in 1 litre gas at S.T.P. will be

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A flask contains 10-3 m3 gas. At a temperature, the number of molecules of oxygen are 3.0 x 1022. The mass of an oxygen molecule is 5.3 x 10-26 kg and at that temperature the rms velocity of molecules is 400 m/s. T

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The mean free path of nitrogen molecules at a pressure of 1.0 atm and temperature 0°C is 0.8 x 10-7m. If the number of density of molecules is 2.7 x 1025perm3, then the molecular diameter is

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22 gm of CO2 at 27°C is mixed with 16 gm of O2 at 37°C. The temperature of the mixture is

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Pressure versus temperature graph of an ideal gas of equal number of moles of different volumes are plotted as shown in figure. Choose the correct alternative

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A vessel is partitioned in two equal halves by a fixed diathermic separator. Two different ideal gases are filled in left (L) and right (R) halves. The rms speed of the molecules in L part is equal to the mean speed of molecules in the R part. Then

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The expansion of an ideal gas of mass m at a constant pressure P is given by the straight line D. Then the expansion of the same ideal gas of mass 2m at a pressure P/ 2 is given by the straight line

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The specific heat at constant volume for the monoatomic argon is 0.075 kcal/kg-K whereas its gram molecular specific heat cv=2.98 cal/mole/K. The mass of the argon atom is (Avogadro’s number =6.02 x 1023 mole

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An ideal gas (γ = 1.5) is expanded adiabatically. How many times has the gas to be expanded to reduce the root mean square velocity of molecules 2 times

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Two identical glass bulbs are interconnected by a thin glass tube. A gas is filled in these bulbs at N.T.P. If one bulb is placed in ice and another bulb is placed in hot bath, then the pressure of the gas becomes 1.5 times. The temperature of hot bath will be

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A cylinder contained 10 kg of gas at pressure 107 N/m2. The quantity of gas taken out of cylinder if final pressure is 2.5 x 106 N/m is (assume the temperature of gas is constant)

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A balloon contains 500 m3 of helium at 27°C and 1 atmosphere pressure. The volume of the helium at – 3°C temperature and 0.5 atmosphere pressure will be

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Two ions having masses in the ratio 1:1 and charges 1:2 are projected into uniform magnetic field perpendicular to the field with speeds in the ratio 2:3. The ratio of the radii of circular paths along which the two particles move is

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A horizontal force of 5 N is required to maintain a velocity of 2 m/s for a block of 10 kg mass sliding over a rough surface. The work done by this force in one minute is

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The potential energy of a body is given by A-Bx2  (where x is the displacement). The magnitude of force acting on the particle is

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A ball of mass m moving with velocity V, makes a head on elastic collision with a ball of the same mass moving with velocity 2V towards it. Taking direction of V as positive velocities of the two balls after collision are

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Consider the following two statement 1. Linear momentum of a system of particles is zero 2. Kinetic energy of a system of particles is zero then

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A body of mass 2 kg is thrown upward with an energy 490 J. The height at which its kinetic energy would become half of its initial kinetic energy will be [g=9.8 m/s2]

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A body of mass 40kg having velocity 4m/s collides with another body of mass 60kg having velocity 2m/s. If the collision is inelastic, then loss in kinetic energy will be

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A box of mass 1 kg is pulled on a horizontal plane of length 1 m by a force of 8 N then it is raised vertically to a height of 2m, the net work done is

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A liquid of density d is pumped by a pump P from situation (i) to situation (ii) as shown in the diagram. If the cross-section of each of the vessels is a, then the work done in pumping (neglecting friction effects) is

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A boy is sitting on a swing at a maximum height of 5m above the ground. When the swing passes through the mean position which is 2m above the ground its velocity is approximately                  

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A 2kg block is dropped from a height of 0.4 m on a spring of force constant K=1960 Nm-1. The maximum compression of the spring is

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A particle of mass 0.01 kg travels along a curve with velocity given by 4i^+16k^ms-1. After some time, it

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A body of mass 2kg is placed on a horizontal frictionless surface. It is connected to one end of a spring whose force constant is 250 N/m. The other end of the spring is joined with the wall. A particle of mass 0.15kg  moving horizontally with speed v sticks to the body

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The ratio of masses of two balls is 2 : 1 and before collision the ratio of their velocities is 1 : 2 in mutually opposite direction. After collision each ball moves in an opposite direction to its initial direction. If e = (5/6), the ratio of speed of each ball  before and after

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A body of mass 3kg, moving with a speed of 4ms-1, collides head on with a stationary body of mass 2kg. Their relative velocity of separation after the collision is 2ms-1. Then

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Two cars of same mass are moving with same speed v on two different roads inclined at an angle θ with each other, as shown in the figure. At the junction of these roads the two cars collide inelastically and move simultaneously with the same speed. The speed of these cars would

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The mass of a bucket containing water is 10 kg. What is the work done in pulling up the bucket from a well of depth 10 m if water is pouring out at a uniform rate from a hole in it and there is loss of 2kg of water from it while it reaches the top (g=10m/sec2

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Two identical cylindrical vessels with their bases at same level each contains a liquid of density d. The height of the liquid in one vessel is h1 and that in the other vessel is h2. The area of either vases is A. The work done by gravity in equalizing t

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80Hg208 nucleus is bombarded by ∝-particles with velocity 107 m/s. If the ∝-particle is approaching the Hg nucleus head-on then the distance of closest approach will be

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A body of mass m moving with velocity v makes a head-on collision with another body of mass 2m which is initially at rest. The loss of kinetic energy of the colliding body (mass m) is  [MP PMT 1996; RPET 1999; AIIMS 2003]

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A mass of 20kg moving with a speed of 10m/s collides with another stationary mass of 5 kg. As a result of the collision, the two masses stick together. The kinetic energy of the composite mass will be            

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A dam is situated at a height of 550 metre above sea level and supplies water to a power house which is at a height of 50 metre above sea level. 2000 kg of water passes through the turbines per second. The maximum electrical power output of the power house if the who

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A mass of 10 gm, moving horizontally with a velocity of 100 cm/sec, strikes the bob of a pendulum and strikes to it. The mass of the bob is also 10 gm (see fig.) The maximum height to which the system can be raised is (g=10 m/sec2)

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A pump motor is used to deliver water at a certain rate from a given pipe. To obtain twice as much water from the same pipe in the same time, power of the motor has to be increased to                   &n

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The gold number of A, B, C and D are 0.04, 0.002, 10 and 25 respectively. The protective powers of A, B, C and D are in the order.

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The potential energy of a body is given by A-Bx2  (where x is the displacement). The magnitude of force acting on the particle is

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A moving mass of 8 kg collides elastically with a stationary mass of 2 kg. If E be the initial kinetic energy of the mass, the kinetic energy left with it after collision will be

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An unloaded bus and a loaded bus are both moving with the same kinetic energy. The mass of the latter is twice that of the former. Brakes are applied to both, so as to exert equal retarding force. If x1 and x2 be the distance covered by the two buses respectively before c

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A metal ball of mass 2kg moving with a velocity of 36 km/h has an head-on collision with a stationary ball of mass 3kg. If after the collision, the two balls move together, the loss in kinetic energy due to collision is

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A ball of mass m moving with velocity V, makes a head on elastic collision with a ball of the same mass moving with velocity 2V towards it. Taking direction of V as positive velocities of the two balls after collision are

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On addition of 1mL of 10% NaCl solution to 10 mL gold sol in presence of 0.025 gm of starch, the coagulation is just prevented, starch has gold number:

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A uniform chain of length 2m is held on a smooth horizontal table so that half of it hangs over the edge. If it is released from rest, the velocity with which it leaves the table will be nearest to

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A car of mass 1250 kg experience a resistance of 750 N when it moves at 30ms–1. If the engine can develop 30kW at this speed, the maximum acceleration that the engine can produce is

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The potential energy of a system is represented in the first figure. The force acting on the system will be represented by

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A force applied by an engine of a train of mass 2.05 x 106 kg changes its velocity from 5 m/s to 25 m/s in 5 minutes. The power of the engine is

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The ratio of masses of two balls is 2 : 1 and before collision the ratio of their velocities is 1 : 2 in mutually opposite direction. After collision each ball moves in an opposite direction to its initial direction. If e = (5/6), the ratio of speed of each ball  before and after

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A block of mass M slides along the sides of a bowl as shown in the figure. The walls of the bowl are frictionless and the base has coefficient of friction 0.2. If the block is released from the top of the side, which is 1.5 m high, where will the block come to rest ? Given th

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A 10 kg mass moves along x-axis. Its acceleration as a function of its position is shown in the figure. What is the total work done on the mass by the force as the mass moves from x=0 to x=8 cm

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An aluminium rod of length 3.14 m is of square cross-section 3.14 ´ 3.14 mm2. What should be the radius of 1 m long another rod of same material to have equal resistance

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If W1, W2 and W3 represent the work done in moving a particle from A to B along three different paths 1, 2 and 3 respectively (as shown) in the gravitational field of a point mass m, find the correct relation

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If we throw a body upwards with velocity of 4 ms-1 at what height its kinetic energy reduces to half of the initial value ? Take g=10 m/s2

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Two identical cylindrical vessels with their bases at same level each contains a liquid of density d. The height of the liquid in one vessel is h1 and that in the other vessel is h2. The area of either vases is A. The work done by gravity in equalizing t

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The ratio of the wavelengths for 2 ® 1 transition in Li++, He+ and H is         

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In hydrogen atom, if the difference in the energy of the electron in n = 2 and n = 3 orbits is E, the ionization energy of hydrogen atom is

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The wave number of the energy emitted when electron comes from fourth orbit to second orbit in hydrogen is 20,397 cm–1. The wave number of the energy for the same transition in He+

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Energy E of a hydrogen atom with principal quantum number n is given by E=−13.6n2eV

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The energy levels of a certain atom for 1st, 2nd and 3rd levels are E, 4E/3 and 2E respectively. A photon of wavelength l is emitted for a transition 3 - 1. What will be the wavelength of emissions for transition 2 - 1

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In a neon discharge tube 2.9 ´ 1018 Ne+ ions move to the right each second while 1.2 ´ 1018 electrons move to the left per second. Electron charge is 1.6 ´ 10–19 C. The current in the discharge tube

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The resistance of a wire at 20oC is 20 W and at 500oC is 60W. At which temperature resistance will be 25W

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When the resistance of 2 ? is connected across the terminal of the cell, the current is 0.5 amp. When the resistance is increased to 5 ?, the current is 0.25 amp. The emf of the cell is

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In the following circuit the potential difference between P and Q is

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A galvanometer having a resistance of 8 ? is shunted by a wire of resistance 2 ?. If the total current is 1 amp, the part of it passing through the shunt will be 

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A deniel cell is balanced on 125 cm length of a potentiometer wire. When the cell is short circuited with a 2 ? resistance the balancing length obtained is 100 cm. Internal resistance of the cell will be

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In the adjoining circuit, the battery E1 has as emf of 12 volt and zero internal resistance, while the battery E has an emf of 2 volt. If the galvanometer reads zero, then the value of resistance X ohm is

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In the following circuit E1 = 4V, R1 = 2W                                  

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Voltmeters V1 and V2 are connected in series across a d.c. line. V1reads 80 V and has a per volt resistance of 200 ?, V2 has a total resistance of 32 k?. The line voltage is

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Calculate the amount of charge flowing in 2 minutes in a wire of resistance 10 ? when a potential difference of 20 V is applied between its ends

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The resistance of 20 cm long wire is 5 ohm. The wire is stretched to a uniform wire of 40 cm length. The resistance now will be (in ohms)

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The equivalent resistance of the following diagram between A and B  is                   

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In the given figure, when galvanometer shows no deflection, the current (in ampere) flowing through 5 ? resistance will be

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Two resistors are connected (a) in series (b) in parallel. The equivalent resistance in the two cases are 9 ohm and 2 ohm respectively. Then the resistances of the component resistors are             

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In the circuit shown in the figure, the current through

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The current in the given circuit is           

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Magnetic field due to a current carrying loop or a coil at a distant axial point P is B1 and at an equal distance in it's plane is B2 then B1B

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A long solenoid has 200 turns per cm and carries a current of 2.5 A. The magnetic field at its centre is [m0 = 4p ´ 10–7 Wb/m2]

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A winding wire which is used to frame a solenoid can bear a maximum 10 A current. If length of solenoid is 80cm and it's cross sectional radius is 3 cm then required length of winding wire is (B

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Electrons move at right angles to a magnetic field of 1.5×10−2Tesla with a speed of

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The speed of an electron having a wavelength of 10−10m is       

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When the momentum of a proton is changed by an amount P0, the corresponding change in the de-Broglie wavelength is found to be 0.25%. Then, the original momentum of the proton was  

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Light of two different frequencies whose photons have energies 1 eV and 2.5 eV respectively, successively illuminates a metal of work function 0.5 eV. The ratio of maximum kinetic energy of the emitted electron will be

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The work functions of metals A and B are in the ratio 1 : 2. If light of frequencies f and 2f are incident on the surfaces of A and B respectively, the ratio of the maximum kinetic energies of photoelectrons emitted is (f is greate

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In Thomson experiment of finding e/m for electrons, beam of electron is replaced by that of muons (particle with same charge as of electrons but mass 208 times that of electrons). No deflection condition in this case satisfied if  

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If a photo cell is used for light of wavelength 4000 Å and if Na and Cu are used as cathode whose work function are 2eV and 4eV respectively then which will be better for cathode

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Ionisation energy for hydrogen atom in the ground state is E. What is the ionisation energy of Li++ atom in the 2nd excited state

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When 90Th228 transforms to 83Bi212

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At any instant the ratio of the amount of radioactive substances is 2 : 1. If their half lives be respectively 12 and 16 hours, then after two days, what will be the ratio of the substances

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MP = 1.008 amu, Mn = 1.009 amu and M 2He4=4.003amu the

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A 2V battery is connected across the points A and B as shown in the figure given below. Assuming that the resistance of each diode is zero in forward bias and infinity in reverse bias, the current supplied by the battery when its positive terminal is connected to

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In a common base amplifier circuit, calculate the change in base current if that in the emitter current is 2 mA and ∝ = 0.98          

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Current in the circuit will be

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A silicon specimen is made into a P-type semi-conductor by doping, on an average, one Indium atom per 5 x 107 silicon atoms. If the number density of atoms in the silicon specimen is 5 x 1028 atoms/m3, then the number of acceptor atom

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Number of particles is given by n=−Dn2−n1x2−

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If x=at+bt2, where x is the distance travelled by the body in kilometre while t the time in seconds, then the units of b are

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E, m, l and G denote energy, mass, angular momentum and gravitational constant respectively, then the dimension of El2m5

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The percentage errors in the measurement of mass and speed are 2% and 3% respectively. How much will be the maximum error in the estimation of the kinetic energy obtained by measuring mass and speed

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If a car covers 2/5th of the total distance with v1 speed and 3/5th distance with v2 then average speed is

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The displacement of a particle, moving in a straight line, is given by s=2t2+2t+4 where  s  is in metres

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The relation between time t and distance x is t=α x2+β​x, where a

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A particle moves along x-axis in such a way that its coordinate x varies with time t according to the equation x=(2−5t+6t

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A thief is running away on a straight road in jeep moving  with a speed of 9ms−1. A police man chases him on a motor cycle moving at a speed of 10

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A body is thrown horizontally from the top of a tower of height  5 m. It touches the ground at a distance of 10 m from the foot of the tower. The initial velocity of the body is (g = 10 ms–2)

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A boy standing on a long rail road car throws a ball straight upward. The car is moving on the horizontal road with an acceleration of 1 m/s2 and the projection velocity in the vertical direction is 9.8 m/s. How far behind the boy will the ball fa

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A circular plate of uniform thickness has diameter 56 cm. A circular part of diameter 42 cm is removed from one edge. What is the position of the centre of mass of the remaining part

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Weights of 1g, 2g.....,100g are suspended from the 1 cm, 2 cm, ...... 100

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A solid sphere of mass 500 gm and radius 10 cm rolls without slipping with the velocity 20cm/s.  The total kinetic energy of the sphere will be

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A disc of radius 1m and mass 4kg rolls on a horizontal plane without slipping in such a way that its centre of mass moves with a speed of 10 

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A simple pendulum has a time period T1 when on earth's surface and T2 when taken to a height R above the earth's surface, where R is the radius of earth. The value of T

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A water drop of 0.05cm3 is squeezed between two glass plates and spreads into area of 40cm2. If the surface tension of water is 70 dyne/cm then the normal force required to separate the glass plates from each other will be

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In a U-tube the radii of two columns are respectively r1 and r2 and if a liquid of density d filled in it has level difference of h then the surface tension of the liquid is

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Two wires of same diameter of the same material having the length l and 2l. If the force F is applied on each, the ratio of the work done in the two wires will be

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Which of the following statements are correct about CO32- ?

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In the gas phase reaction C2H4+H2⇌C2H6

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For the reaction, H2(g) + I2(g) ⇌2HI

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For N2+3H2⇌2NH3+Heat

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The equilibrium concentration of X,Y and YX2 are 4,2 and 2 moles respectively for the equilibrium 2X+Y⇌YX2 The value of K

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Which kind of isomerism will but-2 ene show?

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The structure of H2O2 is

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D2O is used in

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4.4 g of a gas STP occupies a volume of 2 . 24

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If A=α011and B=

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Let P=aijbe a3x3matrix and let Q=

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If f(x) =

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Given, 2x – y + 2z = 2, x – 2y + z = - 4, x + y + ƛz = 4, then the value of ƛ such that the given system of equations has no solution, is

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The determinant

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Let ω be a complex cube root of unity with ω ≠ 1 and P = [Pij] be a n x n matrix with Pij = ωi + j. Then, P2 ≠ 0, when n is equal to

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For what value of x, the matrix3-x2224-

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In 28 days human ovarian cycle, ovulation occurs on

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If A = {(x, y) : x2 + y2 = 25} and B = {(x, y) : x2 + 9y2 = 144}, then A ∩ B contains

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Five balls numbered 1 to 5 balls suspended using separate threads. Pair (1,2), (2,4) and (4,1) show electrostatic attraction, while pair (2,3) and (4,5) show repulsion. Therefore ball 1 must be

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Two point charges +2C and +6C repel each other with a force of 12 Newtons. If a charge of – 4C is given to each of these charges the force now is

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Xenon crystallizes in face centre cubic and the edge of the unit cell is 620 pm, then the radius of xenon-atom is

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The percentage errors in the measurement of mass and speed are 2% and 3% respectively. How much will be the maximum error in the estimation of the kinetic energy obtained by measuring mass and speed

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The dimensions ML-1 T-2  can correspond to :

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A student notes time and the constant acceleration of a slowly moving object with a stopwatch. The equation used          is S = (1/2)AT2. The distance S is measured with a meter stick. What is the acceleration with  its estimated error?

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A vernier callipers having 1 main scale division = 0.1 cm is designed to have a least count of 0.02 cm. If n be the number of divisions on vernier scale and m be the length of vernier scale, then

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When 97.52 is divided by 2.54, the correct result is

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Friction force acting on a body at rest is 2 N.What is the net force acting on it.

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A ball of mass 150g moving with an acceleration 20 m/s2is hit by a force, which acts on it for 0.1 sec. The impulsive force is

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A man weighs 80Kg He stands on a weighing scale in a lift which is moving upwards with a uniform acceleration of 5m/s2 What would be the reading on the scale. Take g=10 m/s2                &nb

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A boy sitting on the topmost berth in the compartment of a train which is just going to stop on a railway station, drops an apple aiming at the open hand of his brother sitting vertically below his hands at a distance of about 2 meter. The apple will fall       

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Potential at a point x-distance from the centre inside the conducting sphere of radius R and charged with charge Q is                          &nbs

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Two isolated charged metallic spheres of radii R1 and R2 having charges Q1 and Q2 respectively are connectedto each other, then there is:

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The hydration energy of Mg2+ is larger than that of

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The field pattern which is not possible is given by

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Due to an electric dipole shown in fig., the electric field intensity is parallel to dipole axis :

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Eight drops of mercury of same radius and having same charge coalesce to form a big drop. Capacitance of big drop relative to that of small drop will be [MP PMT 2002, 1990; MNR 1999, 87; DCE 1998]

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An element X occurs in short period having configuration ns2 np1. The formula and nature of its oxide is

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A copper wire of length 1m and radius 1mm is joined in series with an iron wire of length 2m and radius 3mm and a current is passed through the wire. The ratio of current densities in the copper and iron wire is        

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In the figure a carbon resistor has band of different colours on its body. The resistance of the following body is [Kerala PET 2002]

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An electrochemical cell is shown below Pt, H2(1 atm) |HCl (0.1 M)| CH3COOH (0.1 M)| H2 (1 atm), Pt. The emf of the cell will not be zero, because 

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Which one of the following pairs of substances on reaction will not evolve H2 gas? 

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Standard electrode potentials are Fe2+/Fe,               E° = - 0.44 V Fe3+/Fe2+,            E°

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A cube of aluminium of sides 0.1 m is subjected to a shearing force of 100 N. The top face of the cube is displaced through 0.02 cm with respect to the bottom face. The shearing strain would be   [MP PAT 1990]

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 A wire of length L and radius r is rigidly fixed at one end. On stretching the other end of the wire with a force F, the increase in its length is l. If another wire of same material but of length 2L and radius 2r is stretched with a force

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The coefficient of linear expansion of brass and steel are a1 and a2. If we take a brass rod of length L1 and steel rod of length L2 at 0o C, their difference in length  L2-L1  &nbs

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When a 4 kg mass is hung vertically on a light spring that obeys Hooke’s law, the spring stretches by 2 cms. The work required to be done by an external agent in the stretching this spring by 5cms will be (g = 9.8 m/s2)

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In the adjoining circuit, the battery E1 has as emf of 12 volt and zero internal resistance, while the battery E has an emf of 2 volt. If the galvanometer reads zero, then the value of resistance X ohm is   [NCERT 19

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 Consider the following reaction occurring in an automobile [1994] 2C8H18(g) + 25O2(g) ? 16CO2(g) + 18H2O(g) The sign of ?H, ?S and ?G would be  

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The entropy change in the fusion of one mole of a solid melting at 27°C (latent heat of fusion is 2930J mol-1) is [2000]

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 A reaction occurs spontaneously if [2005]

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One litre hard water contains 12.00 mg Mg2+. mili-equivalents of washing soda required to remove its hardness is [1988] 

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When a biochemical reaction is carried out in laboratory from outside of human body in the absence of enzyme, the rate of reaction obtained is 10-6 times, then activation energy of the reaction in the presence of enzyme is [2001]

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The activation energy for a simple chemical reaction AàB is Ea in forward direction. The activation energy for reverse reaction                         

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For the reaction 2 A + B ? 3 C + D Which of the following does not express the reaction rate? [2006]  

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In the developmental history of mammalian heart, it is observed that it passes through a 2-chambered fish-like heart, 3-chambered frog-like heart and finally 4-chambered stage. To which hypothesis can the above statement be approximated ?

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The activation energy for a simple chemical reaction AàB is Ea in forward direction. The activation energy for reverse reaction    [2003]

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When a biochemical reaction is carried out in laboratory from outside of human body in the absence of enzyme, the rate of reaction obtained is 10-6 times, then activation energy of the reaction in the presence of enzyme is [2001]

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The rate of reaction between two reactions A and B decreases by a factor of 4, if the concentration of reaction B is doubled. The order of this reactions with respect to reactant B is [2005]

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Which is not correct regarding the adsorption of a gas on surface of solid? [2001]

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According to the adsorption theory of catalysis, the speed of the reaction increases because [2003]

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Position of non-polar and polar parts in micelle is [2002]

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The —OH group of an alcohol or the —COOH group of a carboxylic acid can be replaced by —Cl using [2004]

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Chloropicrin is obtained by the reaction of [2004]

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When phenol is treated with excess if bromine water, it gives [1992]

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A soap bubble is given negative charge. Its radius will                      [DCE 2000; RPMT 1997; CPMT 1997; MNR 1988]

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If Two similar charges of +Q as shown in figure are placed at points A and B. – q charge is placed at point C midway between A and B. – q charge will oscillate if 

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In Young’s double slit experiment using sodium light (l = 5898Å), 92 fringes are seen. If given colour (l = 5461Å) is used, how many fringes will be seen               &n

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Which of the following phenomenon does not show the wave nature of light              [RPET 2003; MP PMT 2003]

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Newton postulated his corpuscular theory on the basis of           [UPSEAT 2001; KCET 2001]

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In which of the following coordination entities the magnitude of Δo (CFSE in octahedral field) will be maximum? (At No Co =27)

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The state of hybridization of C2, C3, C5 and C6 of the hydrocarbon,

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Which of the following halides is not oxidized by MnO2

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Consider the reaction, Zn + Cu2+ ? Zn2+ + Cu With reference to the above, which one of the following is the correct statement?

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The oxidation potential of Mg and Al are + 2.37 and +1.66 volts respectively. The Mg in chemical reaction

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 Which among the following is the strongest reducing agent? Given, Fe2+ + 2e- ? Fe(-0.44V); Ni2+ + 2e- ? Ni(-0.25 V); Sn2 + 2r- ? Sn(-0.14 V) and Fe3+ + e- ?

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A compound contains atoms of three elements A, B, and C. If the oxidation number of A is +2, B is +5 and that of C is -2, the possible formula of the compound is

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Which will be the proper alternative in place of A in the following equation. 2 Fe3+ (aq) + Sn2+ (aq) ? 2 Fe2+ (aq) + A 

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 The values of x and y in the following redox reaction, x Cl2 + 6OH- ? ClO3- + y Cl- + 3H2O are

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(x) MnO-4 + (y) H2O2 ? 2Mn+2 + 5H2O + 9O2 + (z)e- In this reaction the value of (x), (y) and (z) are

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What is the weight of oxygen required for the complete combustion of 2.8 kg of ethylene? [1989]

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20 eggs have infinite number of significant digits.

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A man goes 10m towards North, then 20m towards east then displacement is

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The trajectory of a projectile is represented by y=3x−gx2​/​2. The angle

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A→=2i^+4j^+4k^   and

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In the fluorite structure the coordination number of Ca2+ ion is

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The adjoining diagram shows the velocity versus time plot for, a particle. The work done by the force on the particle is positive from

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The force on a particle varies as F = 9/x2. The work done in displacing the particle from x = 1 to x = 3 is

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A body of mass 3 kg is under a force which causes a displacement in it given by S = t2/3 (in m) find the work done by the force in first 2 seconds

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A boy sitting on the topmost berth in the compartment of a train which is just going to stop on a railway station, drops an apple aiming at the open hand of his brother sitting vertically below his hands at a distance of about 2 meter. The apple will fall       &n

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Mass of a person sitting in a lift is 50 kg. If lift is coming down with a constant acceleration of 10 m/sec2. Then the reading of spring balance will be (g = 10m/sec2)

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Two masses of 5 kg and 10 kg are connected to a pulley as shown. What will be the acceleration of the system (g = acceleration due to gravity)

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A cricket ball of mass 150 gm is moving with a velocity of 12 m/s and is hit by a bat so that the ball is turned back with a velocity of 20 m/s. The force of blow acts for 0.01s on the ball. The average force exerted by the bat on the ball

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The ratio of mass of 1 mole of sodium and 1023 atoms of sodium is:

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A very afficient converter of solar energy with net productivity of 2-4 kg/m2  or more is the crop of                              &n

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Who is known as “Father of Endocrinology”?                                 (BHU 2008)

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Which fraction of the visible spectrum of solar radiations are primarily absorbed by carotenoids of the higher plants?                             &n

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Chlorophyll in chloroplasts is located in                                           

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Which hormone controls blood calcium level?    (Himachal Board 2008)

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The hormone which regulates sleep – wake cycle in man is :                     (Kerala PMT – 2010)

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 If f(x) = x ((x)1/2 + (x + 1)1/2), then                               [1985, 2M]

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If x2 + y2 = 1, then                                             [2000, 1M]

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limx→0sin⁡(πcos2x)

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Let f be twice differentiable function satisfying f(1) = 1, f(2) = 4, f(3) = 9, then                                   

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 If y is a function of x and log (x + y) = 2xy, then the value of y’ (0) is equal to

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The domain of the function

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Range of f(x) = 4x + 2x + 1 is

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Let f: R ? Y defined by fx=2x2-x

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Zinc as a nutrient is used by the plants in the form of                                        &nbs

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The direction and rate of water movement from cell to cell is based on                  (1992)

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Grey spots of oat are caused by deficiency of                                   (2003)

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Manganese is required in                               (2009)

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In which of following plant sunken stomata are found?                                        &

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End products of aerobic respiration are                                           &n

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Thefunctionfx=log1+sin⁡

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If f(x) = cos (lnx) then f(x) f(y)-12fx

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A function f : R ? R satisfies the condition, x2 f(x) + f(1 –x) = 2x – x4. Then f(x) is:

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The hormone responsible for apical dominance is              (1991, 92)

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The pigment, that absorbs red and far-red light in plants, is        (1995, 2002)

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A metal oxide has the formula Z2O3. It can be reduced by hydrogen to give free metal and water. 0.1596 g of the metal oxide requires 6 mg of hydrogen for complete reduction. The atomic weight of the metal is           &nbs

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The number of gram molecules of oxygen in 6.02 x 1024 CO molecules is                                                  

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The number of moles of oxygen in 1 L of air containing 21% oxygen by volume, under standard condition, is                                &n

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O.24 g of a volatile gas, upon vaporization, gives 45 ML vapour at NTP. What will be the vapour density of the substance?       (Density of H2 = 0.089)                 

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Which one of the following has magnesium?                                         (2000)

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Enzyme are made up of                                              &n

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Phospholipids are esters of glycerol with                                     (2003)

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Which one of the following vitamins is water-soluble?                      (2007)

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When CO2 concentration in blood increases, breathing becomes         (2004)

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What is the vital capacity of our lungs?                                          &n

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In a random mating population in equilibrium, which of the following brings about a change in gene frequency in non-directional manner?    (2003)

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Consider the statement given below regarding contraception and answer as directed thereafter                                 &nbs

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Who is known as “Father of Endocrinology”?                                      

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Which hormone controls blood calcium level?                                    (Himachal Board 2008)

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The hormone which regulates sleep – wake cycle in man is :               (Kerala PMT – 2010)

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Diabetes insipidus is due to insufficient release of :                           (AMU 2011)

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What is the weight of oxygen required for the complete combustion of 2.8 kg of ethylene? [1989]

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The number of gram molecules of oxygen in 6.02 x 1024 CO molecules is [1990]

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If tan A = 1/2, and tan B =  1/3, then the value of tan (2A + B) is

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If tan θ =  b/a, then the value of a cos 2θ + b sin 2θ is

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In Haber process 30 L of dihydrogen and 30 L of dinitrogen were taken for reaction which yielded only 50% of the expected product. What will be the composition of gaseous mixture under the aforesaid condition in the end? [2003]

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If NA is Avogadro’s number then number of valence electrons in 4.2 g of nitride ions (N3-) is

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Two containers P and Q of equal volume (1 litre each) contain 6 g of O2 and SO2 respectively at 300 K and 1 atmosphere. Then

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The number of moles of oxygen in one litre of air containing 21% oxygen by volume, under standard condition are

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If x = y cos (2 π/3 )= z cos(4 π/3 ), then xy + yz + zx is equal to

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Assuming fully decomposed, the volume of CO2 released at STP on heating 9.85 g of BaCO3 (atomic mass, Ba=137) will be

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If tanθtanπ3+

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cos2π12+cos2π4+

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The simplest formula of a compound containing 50% of element X (atomic mass 10) and 50% of element Y (atomic mass 20) is

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Number of moles of KMnO4 required to oxidize one mole of Fe(C2O4) in acidic medium is

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Haemoglobin contain 0.33% of iron by weight. The molecular weight of haemoglobin is approximately 67200. The number of iron atoms (at. Wt. of Fe = 56) present in one molecule of haemoglobin is

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A 100 m solution of 0.1 N HCl was titrated with 0.2 N NaOH solution. The titration was discontinued after adding 30 ml of NaOH solution. The remaining titration was completed by adding 0.25 N KOH solution. The volume of KOH required for completing the titration is

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The volume of water to be added to 100 cm3 of 0.5 N H2SO4 to get deci normal concentration is

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The total number of electrons that can be accommodated in all the orbitals having principal quantum number 2 and azimuthal quantum number 1 are

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The maximum amount of BaSO4 precipitated on mixing equal volumes of BaCl2 (0.5 M) with H2SO4 (1 M) will corresponds to

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 A gas occupies 300 ml at 27°C and 740 mm pressure. Calculate its volume at S.T.P?

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In a closed flask of 5L, 1.0 g of H2 is heated from 300 to 600 K. Which statement is not correct?

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O2 is collected over water at 20°C. The pressure inside shown by the gas is 740 mm of Hg. What is the pressure due to O2 alone if vapour pressure of H2O is 18 mm at 20°C?

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The oxidation potential of Mg and Al are + 2.37 and +1.66 volts respectively. The Mg in chemical reaction

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  The partial ionic equation, Cr2O2-7 + 14 H+ + 6 e- ? 2 Cr3+ + 7 H2O Suggests that the equivalent weight of Cr2O2-7 will be equal to its formula

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For the redox reaction, MnO-4 + C2O2-4 + H+ ? Mn2+ + CO2 + H2O        Correct stoichiometric coefficients of MnO-

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Equivalent mass of oxidizing agent in the reaction, SO2 + 2H2S ? 3S + 2H2O is

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When KMnO4 acts as an oxidizing agent and ultimately forms MnO-24, MnO2, Mn2O3 and Mn+2, then the number of electrons transferred in each case respectively is

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The bond angles in molecules H2O, NH3, CH4 and CO2 are in the order:

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What type of hybridisation is involved for carbon in linear CO2 molecule?

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CO2 is isostructural with:

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What is the intensity of sound in normal conversation?                  (2001)

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Ommatidia serve the purpose of photoreception in                        (2003)

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The bonds present in N2O5 are:

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A molecule in which sp2 hybrid orbitals are used by the central atom in forming covalent bonds is:

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H2O has a net dipole moment while BeF2 has zero dipole moment because

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XeF2 molecule is:

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Name of the compound given below

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The state of hybridization of C2, C3, C5 and C6 of the hydrocarbon,

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Which is the most suitable reagent among the following to distinguish compound (3) from rest of the compounds? 1. CH3—C≡C—CH3 2. CH3—CH2—CH2—CH3 3. CH3

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Cuprous compound such as CuCl, CuCN and CuSCN are the only salts stable in H2O due to

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The radius of chromium atom is 1.25 Å. If it crystallizes in a body centred cubic lattice, the length of the edge of the unit cell is:

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The edge length of the unit cell is 290 pm and the density of the crystal is 7.8 g cm-3. If the molar mass is 56 amu, then the type of crystal lattice is:

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Which of the following is fast debrominated?

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Which of the following ether will give always SN2 mechanism in acidic as well as basic conditions?

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Replacement of Cl of chlorobenzene to give phenol requires drastic conditions but chlorine of 2, 4-dinitro chlorobenzene is readily replaced. This is because

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Sodium metal crystallizes in bcc lattice with the cell edge, a = 4.29 Å

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In sodium oxide (Na2O), the co-ordination number of sodium and oxide ions are respectively:

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For the reaction 2N2O5 ? 4NO2 + O2, rate and rate constant are 1.02 x 10-4 and 3.4 x 10-5 x-1 respectively, then conc of N2O5 at that time will be

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A Substance ‘A’ decomposes by a first order reaction starting initially with [A] = 2.00 m and after 200 min, [A] becomes 0.15 m. For this reaction t1/2 is

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Ozazone formation involves only 2-carbon atoms of glucose because of

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The correctly reported answer of addition of 29.4406, 3.2 and 2.25 will have significant figures

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If isotopic distribution of C-12 and C-14 is 98% and 2% respectively then the no. of C-14 atoms in 12 gm of carbon is

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If 224 ml of a triatomic gas has a mass of 1 gm at 273 K and 1 atmospheric pressure then the mass of one atom is

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Cellulose is a polymer of [2002]

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Which one of the following statements is not true? [2008]

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A wire in the form of a square of side a carries a current i. Then the magnetic induction at the centre of the square wire is (Magnetic permeability of free space = m0)       

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A long solenoid is formed by winding 20 turns/cm. The current necessary to produce a magnetic field of 20 millitesla inside the solenoid will be approximately (µ0/4Π=10-7 Tesla-metre/ampere)  

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An electron (mass =9x10-31kg. charge =1.6 x 10-19coul.) whose kinetic energy is 7.2 x 10-18jule is moving in a circular orbit in a magnetic field of 9x10-5weber/m2. The radius of the orbit is        

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The bond angles in molecules H2O, NH3, CH4 and CO2 are in the order:

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A molecule MX3, has zero dipole moment.  The sigma bonding orbitals used by M (atomic number < 21) are:

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A solution containing one mole per litre of each Cu(NO3)2 ; AgNO3 ; Hg2(NO3)2 ; Mg(NO3)2 is being electrolysed by using inert electrodes. The values of standard electrode potentials in volts are:

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In the reaction, 3Br2 + 6CO2-3 + 3H2O ? 5Br- + BrO-3 + 6HCO-3

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12 gm of Mg (Atomic mass 24) will react completely with hydrochloric acid to give

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If 0.5 mol of BaCl2 is mixed with 0.2 mol of Na3PO4 then maximum number of moles of Ba3(PO4)2 that can be formed is

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25.4 g of I2 and 14.2 g of Cl2 are made to react completely to yield a mixture of ICl and ICl3. Calculate moles of ICl and ICl3. Calculate moles of ICl and ICl3 formed

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Gastric juice contains 3.0 g of HCl per litre. If a person produced 2.5 litre of gastric juice per day. How many antacid tablets each containing 400 mg of Al(OH)3 are needed to neutralized all the HCl produced in one day?

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7.36 g of a mixture of KCl and Kl was dissolved in H2O to prepare 1 litre solution. 25 ml of this required 8.45 ml of 0.2 N AgNO3, what are % of KI in mixture?

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On Subjecting 10 ml mixture of N2 and CO to repeated electro spark, 7 ml of O2 was required for combustion. What was the mole percent of CO in the mixture? (All volumes were measured under identical conditions)

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A gas at 1 atm is bubbled through a solution containing a mixture of 1 M Y- and 1 M Z- at 25°C. If the reduction potential of Z > Y > X, then

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1.575 g of oxalic acid (COOH)2. xH2O are dissolved in water and the volume made upto 250 ml. On titration 16.68 ml of this solution requires 25 ml of N/15 NaOH solution for complete neutralization calculate x.

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The reaction, 3CIO- (aq) ? CIO-3 (aq) + 2Cl- (aq) is an example of

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How many moles of magnesium phosphate, mg3(PO4)2 will contain 0.25 mole of oxygen atoms?

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What volume of H2O2 solution of 22.4 “vol” strength is required to liberate 2240 mL of O2 at NTP?

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The labeling on a bottle of H2O2 solution is 20 “vol”, then the concentration of H2O2 in percentage strength will be:

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Volume of a gas at STP is 1.12 x 10-7 cc. Calculate the number of molecules in it

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What will be the volume of CO2 at NTP obtained on heating 10 grams of (90% pure) limestone

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An aqueous solution of 0.57 g of KIO3 (formula weight = 214) react with excess of KI in presence of HCl, where both converts into I2. The liberated I2 consumes certain volume of (0.1 M) Na2S2O3, in basic medium where it converts

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The total number of electrons that can be accommodated in all the orbitals having principal quantum number 2 and azimuthal quantum number 1 are

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Equivalent conductance of NaCl, HCl and C2H5COONa at infinite dilution are 126.45 426.16 and 91 ohm-1 cm2, respectively. The equivalent conductance of C2H5COOH is            

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The standard emf of a galvanic cell involving cell reaction with n = 2 is found to be 0.295 V at 25oC. The equilibrium constant of the reaction would be            (2004) Given F = 96500 C mol-1; R = 8.314

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The equilibrium constant of the reaction, Cu(s) + 2Ag+(aq) --> Cu2+(aq)+ 2Ag(s); Eo = 0.46 V at 298 K is                      

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Al2O3 is reduced by electrolysis at low potentials and high currents. If 4.0 x 104 A of current is passed through molten Al2O3 for 9 h, what mass of aluminium is produced? (Assume 100% current efficiency, at. mass of Al = 27 g mol-1

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Sum of the first n terms of the series 1/2 + 4/4 + 7/8 + 15/16 + ……….is equal to

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If a1, a2,……, an are positive real numbers whose product is a fixed number c, then the minimum value of a1 + a2 +……+ an-1 + 1an is

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If b1, b2 and b3(b1 > 0) are three successive terms of a G.P. with common ratio r, the value of r for which the inequality b3 > 4b2 – 3b1 holds, is given by

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Without losing its concentration, ZnCl2 solution cannot be kept in contact with

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In the given reaction K2Cr2O7 + XH2SO4 + YSO2 ? K2SO4 + Cr2(SO4)3 + ZH2O X, Y, Z are

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The addition of a CaCl2 crystal to a KCl crystal

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Equivalent mass of oxidizing agent in the reaction, SO2 + 2H2S ? 3S + 2H2O is

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 Iron crystallizes in a b.c.c. system with a lattice parameter of 2.861 Å. Calculate the density of iron in the b.c.c. system (Atomic weight of Fe = 56, NA = 6.02 x 1023 mol-1 )

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A mineral is composed of Ca, Ti and oxygen. With Ca+2 at cube corners, Ti ions in the centre and oxide ions in the face centre of the unit cell. The formula of the mineral and the oxidation state of Ti are:

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The coordination number and oxidation state of Cr in K3[Cr(C2O4)3] are respectively       

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IUPAC name of  [Pt(NH3)3 (Br)(NO2)Cl] Cl is

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Considering H2O as a weak field ligand, the number of unpaired electrons in [Mn(H2O)6]2+ will be (At no of Mn =25)

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When the hybridisation state of carbon atom changes from sp3 to sp2 and finally to sp, the angle between  the hybridised orbitals

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The number of anti-bonding electron pairs in O22- molecular ion on the basis of molecular orbital theory is (At no of 0 is 8)

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2-bromopentane is heated with potassium ethoxide in ethanol. The major product obtained is

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The function f(x) = |x2 – 3x + 2| + cos|x| is not differentiable at x is equal to

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Let f’’(x) be continuous at x = 0 and f’’(0) = 4. Then value of ⁡limx→o2fx

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Let f(x) = x+x2+…+xn-nx-1,

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For x, y ∈ R, define a relation R by x R y if and only if x-y+2 is and irrational number. Then R is

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In a class of 25 students, 12 have taken mathematics, 8 have taken mathematics but not biology. If each student has taken either mathematics or biology or both, then the number of students who have taken both the subjects is

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If |z1 + z2|=|z1 – z2|, the difference in the amplitudes of z1 and z2 is

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2i1+i2=

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If I = -1 and n is a positive integer, then in + in+1 + in+2 + in+3 =

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The value of ∑k=sin2πk11-i

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Number of ways in which 20 identical balls can be used in 16 different matches is

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The equation of the plane parallet to the plane 4x – 3y + 2z + 1 = 0 and passing through the point (5, 1, -6) is

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Equation of the sphere through the points (0, 0, 0), (0, 1, -1), (-1, 2, 0), and (1, 2, 3)

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The mass of the moon is about 1.2% of the mass of the earth. Compared to the gravitational force the earth exerts on the moon, the gravitational force the moon exerts on earth

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Find the position of point from wire 'B' where net magnetic field is zero due to following current distribution

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The angular velocity of the earth with which it has to rotate so that acceleration due to gravity on 60° latitude becomes zero is (Radius of earth = 6400 km. At the poles g = 10 ms–2)

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An equilateral triangle of side 'a' carries a current i then find out the magnetic field at point P which is vertex of triangle

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A circular coil of radius 4 cm has 50 turns. In this coil a current of 2 A is flowing. It is placed in a magnetic field of 0.1 weber/m2. The amount of work done in rotating it through 180o from its equilibrium position will be

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The mass of the moon is about 1.2% of the mass of the earth. Compared to the gravitational force the earth exerts on the moon, the gravitational force the moon exerts on earth

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The acceleration of a body due to the attraction of the earth (radius R) at a distance 2R from the surface of the earth is (g = acceleration due to gravity at the surface of the earth)

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The value (s) of k for which the term independent of x in x+kx210 is 405 is

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The coefficient of x5 in the expansion of (1+x)21+(1+x)22+…+(1+x)30 is

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The greatest term in the expansion of (1+x)10 when x=2/3 is

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The number of terms whose value depends on x in the expansion of x2-2+1x27

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The coordinates of the middle points of the sides of a triangle are (3, 2) (4, 3) and (2, 2), then the coordinates of its centroid are

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The equation of bisectors of angles between the pair of lines x2-y2=0 is

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If the quadratic equation ax2+bx+c=0 has -2 as one of its roots then ax+bx+c=0 represents

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A ray of light coming from the point (1,2) is reflected at a point A on the x-axis and then passes through the point (5,3). The coordinates of the point A are

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If a number of two digits is formed with the digits 2, 3, 5, 7, 9 without repetition of digits, then the probability that the number formed is 35 is

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A four finger number is formed of the figures 1, 2, 3, 5 with no repetitions. The probability that the number is divisible by 5 is

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Find magnetic field at centre O in each of the following figure

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An electron (mass =9 x 10-31kg charge =1.6 x 10-19coul.) whose kinetic energy is 7.2 x 10-18 joule is moving in a circular orbit in a magnetic field of 9 x 10-5 weber/m2 The radius of the orbit is

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A coil of 50 turns is situated in a magnetic field b = 0.25weber/m2 as shown in figure. A current of 2A is flowing in the coil. Torque acting on the coil will be

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A proton and an ∝-particle enter a uniform magnetic field perpendicularly with the same speed. If proton takes 25 µ sec to make 5 revolutions, then the periodic time for the ∝-particle would be

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The magnetic field is downward perpendicular to the plane of the paper and a few charged particles are projected in it. Which of the following is true

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A long wire AB is placed on a table. Another wire PQ of mass 1.0 g and length 50 cm is set to slide on two rails PS and QR. A current of 50A is passed through the wires. At what distance above AB, will the wire PQ

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A conductor PQRSTU, each side of length L, bent as shown in the figure, carries a current i and is placed in a uniform magnetic induction B directed parallel to the positive Y-axis. The force experience by the wire and its direction are

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Three long, straight and parallel wires carrying currents are arranged as shown in figure. The force experienced by 10 cm length of wire Q is

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A steady current i flows in a small square loop of wire of side L in a horizontal plane. The loop is now folded about its middle such that half of it lies in a vertical plane. Let μ1

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 A metallic block carrying current i is subjected to a uniform magnetic induction B as shown in the figure. The moving charges experience a force F given by ……. which results in the lowering of the potential of the face ……. Assume the

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A satellite A of mass m is revolving round the earth at a height ‘r’ from the centre. Another satellite B of mass 2m is revolving at a height 2r. The ratio of their time periods will be

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A satellite is launched into a circular orbit of radius ‘R’ around earth while a second satellite is launched into an orbit of radius 1.02 R. The percentage difference in the time periods of the two satellites is

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The sum of all the five digit numbers formed with the digits 1, 2, 3, 4, 5 taken all at a time is

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The lock of safe consists of five discs each of which features the digits 0, 1, 2,…, 9. The safe can be opened by dialing a special combination of the digits. The number of days sufficient enough to open the safe if the work day lasts 13 hrs., and 5 seconds are needed to dial one combin

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 Find out the magnitude of the magnetic field at point P due to following current distribution

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Two parallel, long wires carry currents i1 and i1 with i1>i2. When the currents are in the same direction, the magnetic field at a point midway between the wires is 10 mT. If the direction of i1 is reversed, the field becomes 3

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A circular loop of area 1 cm2, carrying a current of 10 A, is placed in a magnetic field of 0.1 T perpendicular to the plane of the loop. The torque on the loop due to the magnetic field is

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A particle of charge -16 x 10-18 coulomb moving with velocity 10 m/s along the x-axis enters a region where a magnetic field of induction B is along the y-axis, and an electric field of magnitude 104 V/m is along the negative

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An electron (mass =9 x 10-31kg charge =1.6 x 10-19coul.) whose kinetic energy is 7.2 x 10-18 joule is moving in a circular orbit in a magnetic field of 9 x 10-5 weber/m2 The radius of the orbit is         

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The magnetic field is downward perpendicular to the plane of the paper and a few charged particles are projected in it. Which of the following is true

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A conductor PQRSTU, each side of length L, bent as shown in the figure, carries a current i and is placed in a uniform magnetic induction B directed parallel to the positive Y-axis. The force experience by the wire and its direction are

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Three long, straight and parallel wires carrying currents are arranged as shown in figure. The force experienced by 10 cm length of wire Q is

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An infinitely long, straight conductor AB is fixed and a current is passed through it. Another movable straight wire CD of finite length and carrying current is held perpendicular to it and released. Neglect weight of the wire

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A square coil of N turns (with length of each side equal L) carrying current i is placed in a uniform magnetic field B→=B0j

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Current i flows through a long conducting wire bent at right angle as shown in figure. The magnetic field at a point P on the right bisector of the angle XOY at a distance r from O is

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A steady current i flows in a small square loop of wire of side L in a horizontal plane. The loop is now folded about its middle such that half of it lies in a vertical plane. Let μ1

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A bar magnet of magnetic moment 3.0 Amp x m is placed in a uniform magnetic induction field of 2 x 10-5 T. If each pole of the magnet experiences a force of 6 x 10-4 N the length of the magnet is        

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A bar magnet with it's poles 25 cm apart and of pole strength 24 amp×m rests with it's centre on a frictionless pivot. A force F is applied on the magnet at a distance of 12 cm  from the pivot so that it is held in equilibrium at

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Two magnets are held together in a vibration magnetometer and are allowed to oscillate in the earth's magnetic field. With like poles together 12 oscillations per minute are made but for unlike poles together only 4 oscillations per minute are executed. The ratio of their magnetic moments

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If θ1 and θ2 are the deflections obtained by placing small magnet on the arm of a deflection magnetometer at the same distance from the compass box in tan A and tan B positions of the magnetometer respectively then the value

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In a vibration magnetometer, the time period of a bar magnet oscillating in horizontal component of earth's magnetic field is 2 sec. When a magnet is brought near and parallel to it, the time period reduces to 1 sec. The ratio H/F of the horizontal component H an

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The magnetic needle of a tangent galvanometer is deflected at an angle 30° due to a magnet. The horizontal component of earth's magnetic field 0.34 x 10–4 T is along the plane of the coil. The magnetic intensity is [KCET 1999; AFMC 1999, 200

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Due to a small magnet intensity at a distance x in the end on position is 9 Gauss. What will be the intensity at a distance x/2 on broad side on  position

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A magnet of magnetic moment 20 C.G.S. units is freely suspended in a uniform magnetic field of intensity 0.3 C.G.S. units. The amount of work done in deflecting it by an angle of 30° in C.G.S. units is       [MP PET 1991]

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The dipole moment of each molecule of a paramagnetic gas is 1.5 x 10–23 Amp x m2. The temperature of gas is 27oC and the number of molecules per unit volume in it is 2 x 1026 m–3. The maximum

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The number of distinct terms in the expansion of (x + y + z + w)20 is

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At a place the earth's horizontal component of magnetic field is 0.38 x 10-4weber/m2. If the angle of dip at that place is 60°, then the vertical component of earth's field at that place in weber/m2 will be approximately

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The dipole moment of each molecule of a paramagnetic gas is 1.5 x 10–23 Amp x m2. The temperature of gas is 27oC and the number of molecules per unit volume in it is 2 x 1026 m–3. The maximum

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If the coefficients of x7 and x8 in (2 + (x/3))N  are equal, then n is

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The number of terms with integral coefficient in the expansion of (171/3 + 351/2x)600 is

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In a vibration magnetometer, the time period of a bar magnet oscillating in horizontal component of earth's magnetic field is 2 sec. When a magnet is brought near and parallel to it, the time period reduces to 1 sec. The ratio H/F of the horizontal component H an

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Two magnets are held together in a vibration magnetometer and are allowed to oscillate in the earth's magnetic field. With like poles together 12 oscillations per minute are made but for unlike poles together only 4 oscillations per minute are executed. The ratio of their magnetic moments

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A dip needle vibrates in the vertical plane perpendicular to the magnetic meridian. The time period of vibration is found to be 2 seconds. The same needle is then allowed to vibrate in the horizontal plane and the time period is again found to be 2 seconds. Then the angle of

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A magnet of magnetic moment 20 C.G.S. units is freely suspended in a uniform magnetic field of intensity 0.3 C.G.S. units. The amount of work done in deflecting it by an angle of 30° in C.G.S. units is

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Force between two identical bar magnets whose centres are r metre apart is 4.8 N when their axes are in the same line. If the separation is increases to 2r metre, the force between them is reduced to

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The mean of 12 numbers is 24. If 5 is added in every number, the new mean is

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The points scored by basket ball team in a series of matches are as follows: 15, 3, 8, 10, 22, 5, 27, 11, 12, 19, 18, 21, 13, 14. Its median is

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If mean of the n observation x1, x2, ………xn be X̅ , then the mean of an observation 2x1 + 3, 2x2 + 3, …….., 2xn + 3

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Two identical bar magnets with a length 10 cm and weight 50 gm – weight are arranged freely with their like poles facing in a arranged vertical glass tube. The upper magnet hangs in the air above the lower one so that the distance between the nearest pole of the magnet

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The magnetic moment produced in a substance of 1gm is 6 x 10-7ampere-metre2. If its density is 5gm/cm3, then the intensity of magnetisation in A/m will be

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A pole of 50 meter high stands on a building 250 m high. To an observer at a height of 300 m, the building and the pole subtend equal angles. The distance of the observer  from the top of the pole is

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Ratio in which the xy-plane divides the join of (1, 2, 3) and (4, 2, 1) is

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If P(x, y, z) is a point on the line segment joining Q(2, 2, 4) and R(3, 5, 6) such that the projections of OP→ on the axes are 13/5, 19/5, 26/5 respectively, then P divide

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The lines x-y+z=1, 3x-y-z+1=0 and x+4y-z=1, x+2y+z+1=0 are

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If the planes x=cy+bz, y=az+cx, z=bx+ay intersect along a single line, then a2+b2+c2=

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An ideal gas is taken around ABCA as shown in the above P-V diagram. The work done during a cycle is

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How much energy is absorbed by 10 kg molecule of an ideal gas if it expands from an initial pressure of 8 atm to 4 atm at a constant temperature of 27°C

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A gas has pressure P and volume V. It is now compressed adiabatically to 1/32 times the original volume. If (32)1.4=128, the final pressure is

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If the door of a refrigerator is kept open, then which of the following is true [BHU 2001; JIPMER 2002; AIEEE 2002; CPMT 2003]

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In pressure-volume diagram given below, the isochoric, isothermal, and isobaric parts respectively, are

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An ideal gas A and a real gas B have their volumes increased from V to 2V under isothermal conditions. The increase in internal energy

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A bullet moving with a uniform velocity v, stops suddenly after hitting the target and the whole mass melts be m, specific heat S, initial temperature 25°C, melting point 475°C and the latent heat L. Then

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If CV=4.96 cal/mole K, then increase in internal energy when temperature of 2 moles of this gas is increased from 340 K to 342 K

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P-V plots for two gases during adiabatic process are shown in the figure. Plots 1 and 2 should correspond respectively to

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A Carnot engine working between 300 K and 600 K has work output of 800 J per cycle. What is amount of heat energy supplied to the engine from source per cycle                  &

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A cyclic process ABCA is shown in the V-T diagram. Process on the P-V diagram is

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1cm3 of water at its boiling point absorbs 540 calories of heat to become steam with a volume of 1671cm2. If the atmospheric pressure is 1.013 x 105 N/m2 and the mechanical equivalent of heat = 4.19 J/calorie, the energy sp

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A thermodynamic system is taken through the cycle PQRSP process. The net work done by the system is

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Hailstone at 0°C falls from a height of 1 km on an insulating surface converting whole of its kinetic energy into heat. What part of it will melt (g=10m/s2)

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In pressure-volume diagram given below, the isochoric, isothermal, and isobaric parts respectively, are

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An ideal gas A and a real gas B have their volumes increased from V to 2V under isothermal conditions. The increase in internal energy

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Water falls from a height of 210 m. Assuming whole of energy due to fall is converted into heat the rise in temperature of water would be (J = 4.3 Joule/cal)

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A bullet moving with a uniform velocity v, stops suddenly after hitting the target and the whole mass melts be m, specific heat S, initial temperature 25°C, melting point 475°C and the latent heat L. Then

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Four curves A, B, C and D are drawn in the adjoining figure for a given amount of gas. The curves which represent adiabatic and isothermal changes are

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Molar specific heat of oxygen at constant pressure Cp=7.2 cal/mol/oC and R = 8.3 J/mol/K. At constant volume, 5 mol of oxygen is heated from 10°C to 20°C, the quantity of heat required is approximately

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A Carnot engine takes 103 kcal of heat from a reservoir at 627°C and exhausts it to a sink at 27°C. The efficiency of the engine will be

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1cm3 of water at its boiling point absorbs 540 calories of heat to become steam with a volume of 1671cm2. If the atmospheric pressure is 1.013 x 105 N/m2 and the mechanical equivalent of heat = 4.19 J/calorie, the energy sp

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A thermodynamic process is shown in the figure. The pressures and volumes corresponding to some points in the figure are: PA=3 x 104Pa, PB=8 x104 Pa and VA= 2 x 10-3m3, VD=5 x 10-3m3

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P-V plots for two gases during adiabatic process are shown in the figure. Plots 1 and 2 should correspond respectively to

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If CV=4.96 cal/mole K, then increase in internal energy when temperature of 2 moles of this gas is increased from 340 K to 342 K

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How much energy is absorbed by 10 kg molecule of an ideal gas if it expands from an initial pressure of 8 atm to 4 atm at a constant temperature of 27°C

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A tuning fork F1 has a frequency of 256 Hz and it is observed to produce 6 beats/second with another tuning fork F2. When F2 is loaded with wax. It still produces 6 beats/second with F1. The frequency of

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A plane wave is described by the equation y = 3 cos ((x/4) – 10 t – (π/2)). The maximum velocity of the particles of the medium due to this wave is

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The path difference between the two waves y1 = a1 sin (ωt – (2πx/ λ)) and y2 = a2 cos (ωt – (2πx/ λ) + φ) is              &nbs

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The stationary wave produced on a string is represented by the equation y = 5 cos(πx/3) sin (40 πt) where x and y are in cm and t is in seconds. The distance between consecutive nodes is          &n

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A man is watching two trains, one leaving and the other coming in with equal speed of 4 m/s. If they sound their whistles, each of frequency 240 Hz, the number of beats heard by the man (velocity of sound in air = 320 m/s) will be equal to &nbs

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A transverse progressive wave on a stretched string has a velocity of 10 ms–1 and a frequency of 100 Hz. The phase difference between two particles of the string which are 2.5 cm apart will be

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A tuning fork F1 has a frequency of 256 Hz and it is observed to produce 6 beats/second with another tuning fork F2. When F2 is loaded with wax. It still produces 6 beats/second with F1. The frequency of

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A transverse wave is described by the equation Y = y0  sin 2π(ft – (x/ λ)) The maximum particle velocity is four times the wave velocity if

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The following equation represent progressive transverse waves           z1 = A cos (w t – kx)             z

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The equation of state of a gas is given by (P+aT2/V)Vc=(RT+b) where a, b, c and R are constants. The isotherms can be represented by P=AVm=BVn, where A and B depend only on temperature then

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A gas mixture consists of 2 mole of oxygen and 4 mole of argon at temperature T. Neglecting all vibrational modes, the total internal energy of the system is

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CO2(O-C-O) is a triatomic gas. Mean kinetic energy of one gram gas will be (If N-Avogadro's number, k-Boltzmann's constant and molecular weight of CO2=44)

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The molecules of a given mass of a gas have a rms velocity of 200 m/sec at 27°C and 1.0 x 105 N/m2 pressure. When the temperature is 127°C and pressure is 0.5 x 105 N/m2, the rms velocity

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The pressure P, volume V and temperature T of a gas in the jar A and the other gas in the jar B at pressure 2P, volume V/4 and temperature 2T, then the ratio of the number of molecules in the jar A and B

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A cylinder of capacity 20 litres is filled with H2 gas. The total average kinetic energy of translatory motion of its molecules is 1.5 x 105 J. The pressure of hydrogen in the cylinder is             &nb

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The temperature of argon, kept in a vessel is raised by 1°C at a constant volume. The total heat supplied to the gas is a combination of translational and rotational energies. Their respective shares are     [BHU 2000]

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A flask contains 10-3 m3 gas. At a temperature, the number of molecules of oxygen are 3.0 x 1022. The mass of an oxygen molecule is 5.3 x 10-26 kg and at that temperature the rms velocity of molecules is 400 m/s. T

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A perfect gas at 27°C is heated at constant pressure to 327°C. If original volume of gas at 27°C is V then volume at 327°C is

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At constant temperature on increasing the pressure of a gas by 5% will decrease its volume by            [MP PET 2002]

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The mean free path of nitrogen molecules at a pressure of 1.0 atm and temperature 0°C is 0.8 x 10-7m. If the number of density of molecules is 2.7 x 1025perm3, then the molecular diameter is

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The temperature of 5 mole of a gas which was held at constant volume was changed from 100oC to 120oC. The change in internal energy was found to be 80 J. The total heat capacity of the gas at constant volume will be equal to

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Pressure versus temperature graph of an ideal gas of equal number of moles of different volumes are plotted as shown in figure. Choose the correct alternative

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An experiment is carried on a fixed amount of gas at different temperatures and at high pressure such that it deviates from the ideal gas behaviour. The variation of PV/RT with P is shown in the diagram. The correct variation will correspond to       

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Two identical glass bulbs are interconnected by a thin glass tube. A gas is filled in these bulbs at N.T.P. If one bulb is placed in ice and another bulb is placed in hot bath, then the pressure of the gas becomes 1.5 times. The temperature of hot bath will be

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The expansion of an ideal gas of mass m at a constant pressure P is given by the straight line D. Then the expansion of the same ideal gas of mass 2m at a pressure P/ 2 is given by the straight line

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Two identical containers each of volume V0 are joined by a small pipe. The containers contain identical gases at temperature T0 and pressure P0. One container is heated to temperature 2T0 while maintaining the other at the same temperature. The commo

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A perfect gas at 27°C is heated at constant pressure to 327°C. If original volume of gas at 27°C is V then volume at 327°C is

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The equation of state of a gas is given by (P+aT2/V)Vc=(RT+b) where a, b, c and R are constants. The isotherms can be represented by P=AVm=BVn, where A and B depend only on temperature then

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The root mean square speed of hydrogen molecules of an ideal hydrogen gas kept in a gas chamber at 0°C is 3180 m/s. The pressure on the hydrogen gas is (Density of hydrogen gas is 8.99 x 10-2 kg/m3, 1 atmosphere=1.01 x 105 N/m

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Hydrogen gas is filled in a balloon at 20°C. If temperature is made 40°C, pressure remaining same, what fraction of hydrogen will come out

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A cylinder of capacity 20 litres is filled with H2 gas. The total average kinetic energy of translatory motion of its molecules is 1.5 x 105 J. The pressure of hydrogen in the cylinder is

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A gas is filled in the cylinder shown in the figure. The two pistons are joined by a string. If the gas is heated, the pistons will

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Energy of all molecules of a monoatomic gas having a volume V and pressure P is 3/2PV. The total translational kinetic energy of all molecules of a diatomic gas as the same volume and pressure is

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The expansion of unit mass of a perfect gas at constant pressure is shown in the diagram. Here

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Two identical containers each of volume V0 are joined by a small pipe. The containers contain identical gases at temperature T0 and pressure P0. One container is heated to temperature 2T0 while maintaining the other at the same temperature. The commo

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A flask is filled with 13 gm of an ideal gas at 27°C and its temperature is raised to 52°C. The mass of the gas that has to be released to maintain the temperature of the gas in the flask at 52°C and the pressure remaining the same is

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The average translational energy and the rms speed of molecules in a sample of oxygen gas at 300 K are 6.21 x 10-21 J  and 484 m/s respectively. The corresponding values at 600 K are nearly (assuming ideal gas behaviour)

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An experiment is carried on a fixed amount of gas at different temperatures and at high pressure such that it deviates from the ideal gas behaviour. The variation of PV/RT with P is shown in the diagram. The correct variation will correspond to

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A gas mixture consists of 2 mole of oxygen and 4 mole of argon at temperature T. Neglecting all vibrational modes, the total internal energy of the system is

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The speeds of 5 molecules of a gas (in arbitrary units) are as follows : 2, 3, 4, 5, 6. The root mean square speed for these molecules is

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Two roads of the same material have diameter in the ratio of 1:2 and length in the ratio of 2:1. If the temperature difference between their ends is the same, the ratio of heats conduced by them in a given time will be

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A long solenoid has 200 turns per cm and carries a current of 2.5 ampere. The magnetic field at its centre is [µ0=4π x 10-7 weber/m2]

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A particle of mass ‘m’ moving with velocity ‘v’ collides inelastically with a stationary particle of mass ‘2m’. The speed of the system after collision will be

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A ball B1 of mass M moving northwards with velocity v collides elastically with another ball B2 of same mass but moving eastwards with the same velocity v. Which of the following statements will be true

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A chain is placed on a frictionless table with one fourth of it hanging over the edge. If the length of the chain is 2m and its mass is 4kg, the energy need to be spent to pull it back to the table is

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A long spring is stretched by 2 cm, its potential energy is U. If the spring is stretched by 10 cm, the potential energy stored in it will be

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A uniform chain of length 2m is held on a smooth horizontal table so that half of it hangs over the edge. If it is released from rest, the velocity with which it leaves the table will be nearest to

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A force F=(5i^+3j^)N is applied over a particle which displaces it from its origin to the point 

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A 10 kg mass moves along x-axis. Its acceleration as a function of its position is shown in the figure. What is the total work done on the mass by the force as the mass moves from x=0 to x=8 cm      [AMU (Med.) 2000]

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If W1, W2 and W3 represent the work done in moving a particle from A to B along three different paths 1, 2 and 3 respectively (as shown) in the gravitational field of a point mass m, find the correct relation

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A running man has half the kinetic energy of that of a boy of half of his mass. The man speeds up by 1 m/s so as to have same K.E. as that of boy. The original speed of the man will be                 

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A body of mass 5 kg is moving with a momentum of 10 kg-m/s. A force of 0.2 N acts on it in the direction of motion of the body for 10 seconds. The increase in its kinetic energy is                &

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A neutron having mass of 1.67 x 10-27 kg and moving at 108m/s collides with a deutron at rest and sticks to it. If the mass of the deutron is 3.34 x 10-27 kg; the speed of the combination is             &nb

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A bus weighing 100 quintals moves on a rough road with a constant speed of 72km/h. The friction of the road is 9% of its weight and that of air is 1% of its weight. What is the power of the engine. Take g = 10m/s2

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If the momentum of a body increases by 0.01%, its kinetic energy will increase by                                                

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Two stones each of mass 5kg fall on a wheel from a height of 10m. The wheel stirs 2kg water. The rise in temperature of water would be

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A metre stick, of mass 400 g, is pivoted at one end displaced through an angle 60o. The increase in its potential energy is

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The relationship between force and position is shown in the figure given (in one dimensional case). The work done by the force in displacing a body from x=1 cm to x= 5 cm is                   

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The work done in pulling up a block of wood weighing 2kN for a length of 10 m on a smooth plane inclined at an angle of 15o with the horizontal is (sin 15o = 0.259)                

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A sphere of mass 0.1 kg is attached to a cord of 1m length. Starting from the height of its point of suspension this sphere hits a block of same mass at rest on a frictionless table, If the impact is elastic, then the kinetic energy of the block after the collision is  &

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A block of mass 2kg is released from A on the track that is one quadrant of a circle of radius 1m. It slides down the track and reaches B with a speed of 4ms-1 and finally stops at C at a distance of 3m from B. The work

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A particle moves with a velocity v→=5i^−3j^+6k^

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A bullet of mass m moving with a velocity v strikes a suspended wooden block of mass M as shown in the figure and sticks to it. If the block rises to a height h the initial velocity of the bullet is           

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A particle of mass 1g having velocity 3i^−2j^ has a glued impact with another particle of mass 2g and velocity as

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A car of mass 1250 kg experience a resistance of 750 N when it moves at 30ms–1. If the engine can develop 30kW at this speed, the maximum acceleration that the engine can produce is

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On addition of 1mL of 10% NaCl solution to 10 mL gold sol in presence of 0.025 gm of starch, the coagulation is just prevented, starch has gold number:

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Six identical balls are lined in a straight groove made on a horizontal frictionless surface as shown. Two similar balls each moving with a velocity v collide with the row of 6 balls from left. What will happen

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A ball B1 of mass M moving northwards with velocity v collides elastically with another ball B2 of same mass but moving eastwards with the same velocity v. Which of the following statements will be true

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A particle of mass ‘m’ moving with velocity ‘v’ collides inelastically with a stationary particle of mass ‘2m’. The speed of the system after collision will be

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One sphere collides with another sphere of same mass at rest inelastically. If the value of coefficient of restitution is 1/2, the ratio of their speeds after collision shall be

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A car of mass 400 kg and travelling at 72 kmph crashes into a truck of mass 4000 kg and travelling at 9 kmph, in the same direction. The car bounces back at a speed of 18 kmph. The speed of the truck after the impact is

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A horizontal force of 5 N is required to maintain a velocity of 2 m/s for a block of 10 kg mass sliding over a rough surface. The work done by this force in one minute is

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A chain is placed on a frictionless table with one fourth of it hanging over the edge. If the length of the chain is 2m and its mass is 4kg, the energy need to be spent to pull it back to the table is

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Two carts on horizontal straight rails are pushed apart by an explosion of a powder charge Q placed between the carts. Suppose the coefficients of friction between the carts and rails are identical. If the 200 kg cart travels a distance of 36 metres and stops, the di

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A bus weighing 100 quintals moves on a rough road with a constant speed of 72km/h. The friction of the road is 9% of its weight and that of air is 1% of its weight. What is the power of the engine. Take g = 10m/s2

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A body falling from a height of 20m rebounds from hard floor. If it loses 20% energy in the impact, then coefficient of restitution is

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A position dependent force F→=(7−2x+3x2) N act

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A moving body with a mass m1 strikes a stationary body of mass m2. The masses m1 and m2 should be in the ratio m1/m2 so as to decrease the velocity of the first body 1.5 times assuming a perfectly elastic impac

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A sphere of mass 0.1 kg is attached to a cord of 1m length. Starting from the height of its point of suspension this sphere hits a block of same mass at rest on a frictionless table, If the impact is elastic, then the kinetic energy of the block after the collision is

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A boy is sitting on a swing at a maximum height of 5m above the ground. When the swing passes through the mean position which is 2m above the ground its velocity is approximately

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A 2kg block is dropped from a height of 0.4 m on a spring of force constant K=1960 Nm-1. The maximum compression of the spring is

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Which one of the following statement does not hold good when two balls of masses m1 and m2 undergo elastic collision

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A liquid of density d is pumped by a pump P from situation (i) to situation (ii) as shown in the diagram. If the cross-section of each of the vessels is a, then the work done in pumping (neglecting friction effects) is

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Energy E of a hydrogen atom with principal quantum number n is given by E=−13.6n2eV

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The energy levels of a certain atom for 1st, 2nd and 3rd levels are E, 4E/3 and 2E respectively. A photon of wavelength l is emitted for a transition 3 - 1. What will be the wavelength of emissions for transition 2 - 1

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Energy of the electron in nth orbit of hydrogen atom is given by En=−13.6n2e

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When an electron in hydrogen atom is excited, from its 4th to 5th stationary orbit, the change in angular momentum of electron is (Planck’s constant: h=6.6×

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Hydrogen atom emits blue light when it changes from n = 4 energy level to n = 2 level. Which colour of light would the atom emit when it changes from n = 5 level to n = 2 level  

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Two wires of resistance R1 and R2 have temperature co-efficient of resistance a1 and a2 respectively. These are joined in series. The effective temperature co-efficient of resistance is      &nb

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If each resistance in the figure is of 9 ? then reading of ammeter is        

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In a mixed grouping of identical cells 5 rows are connected in parallel by each row contains 10 cell. This combination send a current i through an external resistance of 20 ?. If the emf and internal resistance of each cell is 1.5 volt and 1 ? respectively then the value of

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100 mA current gives a full scale deflection in a galvanometer of resistance 2 ?. The resistance connected with the galvanometer to convert it into a voltmeter of 5 V range is

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A battery with negligible internal resistance is connected with 10m long wire. A standard cell gets balanced on 600 cm length of this wire. On increasing the length of potentiometer wire by 2m then the null point will be displaced by

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A 2 volt battery, a 15 ? resistor and a potentiometer of 100 cm length, all are connected in series. If the resistance of potentiometer wire is 5 ?, then the potential gradient of the potentiometer wire is

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In the circuit shown here E1 = E2 = E3 = 2V and R1 = R2 = 4 ?. The current flowing between point A and B through battery E2 is   &nb

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As the switch S is closed in the circuit shown in figure, current passed through it is

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In an experiment to measure the internal resistance of a cell by potentiometer, it is found that the balance point is at a length of 2 m when the cell is shunted by a 5 ? resistance; and is at a length of 3 m when the cell is shunted by a 10 ? resistance. The internal resista

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For driving a current of 2A for 6 minute in a circuit 1000 J of work is to be done. The emf of source in the circuit is

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Two wires of brass of diameter 1 mm and 2 mm have equal weight. Their electrical resistance will be in the ratio

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AB is a wire of uniform resistance. The galvanometer G shows no current when the length AC = 20 cm and CB=80cm . The resistance R is equal to

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Four resistances are connected in a circuit in the given figure. The electric current flowing through 4 ohm and 6 ohm resistance is respectively

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If in the circuit shown, the internal resistance of the battery is 1.5 W and VP and VQ are the potentials at P & Q respectively what is the potential difference between P and Q 

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An ideal ammeter (zero resistance) is connected as shown. The reading of the ammeter is

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In the steady state what will be the power dissipation in following circuit\

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What will be the resultant magnetic field at origin due to four infinite length wires. If each wire produces magnetic field 'B' at origin

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A long solenoid is formed by winding 20 turns/cm. The current necessary to produce a magnetic field of 20 millitesla inside the solenoid will be approximately  (μ0

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For the solenoid shown in figure. The magnetic field at point P is                                 

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A proton and an α−particles enters in a uniform magnetic field with same velocity, then ratio of the radii of path describe by them

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The kinetic energy of electron and proton is 10−32J. Then the relation between their de-Broglie wavelengths is

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In Thomson mass spectrograph when only electric field of strength 20 kV/m is applied, then the displacement of the beam on the screen is 2 cm. If length of plates = 5 cm, distance from centre of plate to the screen = 20 cm and velocity of ions = 106

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Light of frequency 8×1015Hz is incident on a substance of photoelectric work function 6.125 eV. The maximum kinetic energy of the emitted photoelectrons

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When a point source of monochromatic light is at a distance of 0.2m from a photoelectric cell, the cut-off voltage and the saturation current are 0.6 volt and 18 mA respectively. If the same source is placed 0.6 m away from the photoelectric cell, then

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In Millikan oil drop experiment, a charged drop of mass 1.8×10−14kg is stationary between its plates. The distance

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In Bohr model of hydrogen atom, the ratio of periods of revolution of an electron in n = 2 and n = 1 orbits is

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Consider the spectral line resulting from the transition from n = 2 to n = 1 in atoms and ions given below. The shortest wavelength is produced by

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The mean lives of a radioactive substance for ∝ and β emissions are 1620 years and 405 years respectively. After how much time will the activity be reduced to one fourth

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A atomic power reactor furnace can deliver 300 MW. The energy released due to fission of each of uranium atom U238 is 170 MeV. The number of uranium atoms fissioned per hour will be &n

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If two nuclei of masses m1 and m2 fused to form a nucleus of mass m and some energy is released, then

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Find the magnitude of current in the following circuit

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In the following common emitter configuration an NPN transistor with current gain β = 100 is used. The output voltage of the amplifier will be

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A potential barrier of 0.50V exists across a P-N junction. If the depletion region is 5.0×10−7 m

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A Ge specimen is doped with Al. The concentration of acceptor atoms is ~1021 atoms/m3. Given that the intrinsic concentration of electron hole pairs is ~1019

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The potential energy of a particle varies with distance x from a fixed origin as U=Axx2+B,

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X=3YZ2 find dimension of Y in (MKSA) system, if X and Z are the dimension of capacity and magnetic    fie

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The resistive force acting on a body moving with a velocity V through a fluid at rest is given by F=CDV2Aρ where,

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The mean time period of second's pendulum is 2.00s and mean absolute error on the time period is 0.05s. To express maximum estimate of error, the time period should be written as

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The motion of a particle is described by the equation x=a+bt2 where a=15

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The displacement of the particle is given by y=a+bt+ct2−dt4. The i

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A body starts from the origin and moves along the x-axis such that velocity at any instant is given by (4t3−2t), where t is in se

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The velocity of a body depends on time according to the equation v=20+0.1t2.The body is undergoing

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Two trains, one travelling at 90 m/s and the other travelling at 120 m/s, are moving towards each other on the same track. When they are 11 km apart, both drivers simultaneously apply brakes. If the brakes decelerate each train at the rate of

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A cricket ball is thrown with a velocity of 15 m/s at an angle of 30o with the horizontal. The time of flight of the ball will be    (g = 10 m/s2)

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A body of mass m thrown horizontally with velocity v, from the top of tower of height h touches the level ground at a distance of 250 m from the foot of the tower. A body of mass 2m, thrown horizontally with a velocity v/2, from the top of

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A strap is passing over a wheel of radius 30 cm. During the time the wheel moving with initial constant velocity of 2 rev/sec. comes to rest the strap covers a distance of 25 m. The deceleration of the wheel in rad/s2 is

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In a playground there is a merry-go-round of mass 120 kg and radius 4 m. The radius of gyration is 3m. A child of mass 30 kg runs at a speed of 5 m/sec tangent to the rim of the merry-go-round when it is at rest and then jumps on it. Neglec

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A body rotating at 20 rad/sec is acted upon by a constant torque providing it a deceleration of 2 rad/sec2. At what time will the body have kinetic energy same as the initial value if the torque continues to act

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The diameters of two planets are in the ratio 4 : 1 and their mean densities in the ratio 1: 2. The acceleration due to gravity on the planets will be in ratio

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Two soap bubbles of radius 1cm and 2cm coalesce to form a single drop under isothermal conditions. The total energy possessed by them if surface tension is 30 dyne cm–1, will be

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Water rises to a height of 10cm in capillary tube and mercury falls to a depth of 3.112cm in the same capillary tube. If the density of mercury is 13.6 and the angle of contact for mercury is 1350, the ratio of surface tension of water and mercury is

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A rubber cord catapult has cross-sectional area 25mm2 and initial length of rubber cord is 10cm. It is stretched to 5cm. and then released to project a missile of mass 5gm. Taking Y

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The period of oscillation of a simple pendulum is given by T=2πlg  where l   is about 99 cm and is known to 1mm accu

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H2+I2⇌2HI In the above equilibrium system if the concentration of the reactants at 250 C is increa

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At a certain temprature 2HI⇌H2+I2 only 50% HI is dissociated  at equillibrium. The equilibrium constant

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For the equilibrium 2NO2(g)⇌N2O4(g)+14

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C2H2n+2 is the general formula for

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Ozonolysis of 2-methybutene -2 yields

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The volume of strength of 1.5 N H2O2 solution is

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The pressure of 2 moles of ideal gas at 546 K having volume 44.8 L is

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The parameter, on which the value of the determinant

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If P=3/21/2-1/2

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If P is a 3 x 3 matrix such that PT = 2P + I, where PT is the transpose of P and I is the 3 x 3 identity matrix, then there exists a column matrix, X =

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If A=α22α

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If P =1α3133

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Let M and N be two 3 x 3 non-singular skew-symmetric matrices such that MN = NM. If PT denotes the transpose of P, then M2 N2 (MTN)-1 (MN-1)T is equal to

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Let M be a 2 x 2 symmetric matrix with integer entries. Then, M is invertible, if

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With the help of matrices, the solution of the equations 3x + y + 2z = 3,        2x – 3y – z = -3,      x + 2y + z = 4 are given by

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If A and B are two sets such that A and 12 elements, B has 17 elements and A ∪ B has 21 elements, then number of elements in A ∩ B are

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In a class of 25 students, 12 have taken mathematics, 8 have taken mathematics but not biology. If each student has taken either mathematics or biology or both, then the number of students who have taken both the subjects is

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If set X and Y are defined as: X={x,y

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Electric field intensity at a point at a distance 60 cm from charge is 2 volt metre then charge will be  

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A compound MpXq has cubic close packing (ccp) arrangement of X. Its unit cell structure is shown below The empirical formula of the compound,  is

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If x= at + bt2  where x is the distance travelled by the body in kilometre while “t” the time in seconds, then the units of “b” are

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In a given system of units, 1 unit of time is 5 sec, 1 unit of mass is 20 kg and unit of length is 10 m. In this system, one unit of power will correspond to

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In the fluorite structure, the coordination number of Ca2+ ion is:

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The radius of a disc is 1.2 cm. Its area according to idea of significant figures, will be given by

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The number of significant figures in the measured value 2600

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Atomic radius of aluminium is 120 pm. If aluminium has a fcc structure, the edge length of the unit cell is:

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A train is moving with velocity 20 m/sec. on this, dust is falling at the rate of 50 kg/min. The extra force required to move this train with constant velocity will be

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The kinetic energy of two masses m1 and m2 are equal their ratio of linear momentum will be

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An elevator weighing 6000 kg is pulled upward by a cable with an acceleration of 5m/s2. Taking g to be 10m/s2, then the tension in the cable is                  &nb

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A force of 5 N acts on a body of weight 9.8 N. What is the acceleration produced in m/s2

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A hollow metal sphere of radius 2 cm is charged such that the potential on its surface is 10 volts. The potential at the centre of the sphere is

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Number of electrons in one coulomb of charge will be                              [RPET 2001; MP PMT/PET 1998]

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Which has most stable +2 oxidation state?

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92U238→90Th234+2He4

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What is the percentage change in distance if the force of attraction between two point charges increases

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The oxidation state of Cr in K2Cr2O7 is

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A beam of electrons moving at a speed of 106 m/s along a line produces a current of 1.6 ´ 10–6 A. The number of electrons in the 1 metre of the beam is              &nb

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From the graph between current i & voltage V shown, identity the portion corresponding to negative resistance[CBSE PMT 1997]

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A 25°C, the highest osmotic pressure is exhibited by 0.1 M solution of 

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For the cell reaction, Cu2+ (C1,aq)+Zn(s) Zn2+(C2, aq)+ Cu(s) Of an electrochemical cell, the change in free energy (ΔG) at a given temperature is a function 

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The specific conductance of a 0.1 N KCl solution at 23°C is 0.012 ohm-1 cm-1. The resistance of cell containing the solution at the same temperature was found to be 55 ohm. The cell constant will be

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In electrolysis of NaCl when Pt electrode is taken then H2 is liberated at cathode while with Hg cathode it forms sodium amalgam because

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The diameter of a brass rod is 4 mm and Young’s modulus of brass is . The force required to stretch by 0.1% of its length is                          

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On applying a stress of  the length of a perfectly elastic wire is doubled. Its Young’s  modulus will be                [ PET 2000]

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The force required to stretch a steel wire of 1 cm2 cross-section to 1.1 times its length would be Y=2*1011 N/m2                        &

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A uniform cube is subjected to volume compression. If each side is decreased by 1%,then bulk strain is [EAMCET (Engg.) 1995; DPMT 2000]

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The magnitude and direction of the current in the circuit shown will be   [CPMT 1986, 88]

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 Standard Gibb’s free energy change for the isomerisation reaction cis-2-pentene ? trans-2-pentene is -3.67 kJ/mol at 400 K. If more trans-2-pentene is added to the reaction vessel, then [1995]

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 When 1 mole gas is heated at constant volume, temperature is raised from 298 to 308 K. Heat supplied to the gas is 500 J. Then, which statement is correct? [2001]

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 The absolute enthalpy of neutralization of the reaction [2005] MgO(s) + 2HCl(aq) ? MgCl2(aq) + H2O(l) will be

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A Substance ‘A’ decomposes by a first order reaction starting initially with [A] = 2.00 m and after 200 min, [A] becomes 0.15 m. For this reaction t1/2 is [1995]

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 3A ? B + C It would be a zero order reaction, when                      [2002]

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For a first order reaction A à B, the reaction rate at reactant concentration of 0.01 M is found to be 2.0 x 10-5 mol L-1s-1. The half-life period of the reaction is [2005]

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 In a first order reaction A ? B, if k is rate constant and initial concentration of the reactant A is 0.5 M, then the half-life is [2007]

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For the reaction 2N2O5 ? 4NO2 + O2, rate and rate constant are 1.02 x 10-4 and 3.4 x 10-5 x-1 respectively, then conc of N2O5 at that time will be [2001]

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For the reaction 2 A + B ? 3 C + D Which of the following does not express the reaction rate? [2006]

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A Substance ‘A’ decomposes by a first order reaction starting initially with [A] = 2.00 m and after 200 min, [A] becomes 0.15 m. For this reaction t1/2 is [1995]

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3A ? B + C It would be a zero order reaction, when                      [2002]

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Which one of the following forms micelles in aqueous solution above certain concentration? [2005]

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The method usually employed for the precipitation of a colloidal solution is [2000]

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Which of the following forms cationic micelles above certain concentration? [2005]

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Which of the following will not form a yellow precipitate on heating with an alkaline solution of iodine? [2004]

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Increasing order of acidic strength among p-methoxy phenol (I), p-methyl phenol (II) and p-nitrophenol (III) is [1992]

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The ionization constant of phenol is higher than that of ethanol because [2000]

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A half ring of radius R has a charge of  λ per unit length. The electric field at the centre is [CPMT 2000; CBSE PMT 2000; REE 1999]

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The relationship between force and position is shown in the figure given (in one dimensional case). The work done by the force in displacing a body from x=1 cm to x= 5 cm is                  

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The dual nature of light is exhibited by      [KCET 1999; AIIMS 2001; BHU 2001; Bihar CEE 2004]

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As a result of interference of two coherent sources of light, energy is          [MP PMT 2002; KCET 2003]

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The complex ion [Co(NH3)6]3+ is formed by sp3d2 hybridisation. Hence, the ion should possess

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Name of the compound given below

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Match the following Column I                                           &n

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Which one of the following orders is not in accordance with the property stated against it? [AIPMT 2006]

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A mole of N2H4 loses ten moles of electrons to form a new compound Y. Assuming that all the nitrogen appears in the new compound, what is the oxidation state of nitrogen in Y? (there is no change in the oxidation number of hydrogen)

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In the reaction, 2FeCl3 + H2S ? 2FeCl2 + 2HCl + S

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Without losing its concentration, ZnCl2 solution cannot be kept in contact with

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In the given reaction K2Cr2O7 + XH2SO4 + YSO2 ? K2SO4 + Cr2(SO4)3 + ZH2O X, Y, Z are

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Number of moles of K2Cr2O7 reduced by 1 mole of Sn2+ is

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Standard electrode potentials are Fe2+/FeE° = -0.44 V Fe+3/Fe+2E° = 0.77 V Fe+2, Fe+3 and Fe blocks are kept together, then

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An element forms compounds of the type MCl3, M2O5 and Ca3M2 but does not form MF5. The element could be:

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The molecular weight of O2 and SO2 are 32 and 64 respectively. At 15°C and 150 mmHg pressure, 1 L of O2 contanis ‘N’ molecules. The number of molecules in 2 L of SO2 under the same conditions of temperature and pressure wil

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What is the molar mass of CO2

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If you are applying 2nd equation of motion in a numerical of free fall. Sign of g will be

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If  A→=4i^−3j^and B

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If two vectors of equal magnitude are placed at 120 degree their resultant is equal to

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A body moves a distance of 10 m along a straight line under the action of a force of 5 N. If the work done is 25 joules, the angle which the force makes with the direction of motion of the body is

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The length of the sides of a rectangular hexahedron are in the ratio 1 : 2 : 3. It is placed on a horizontal surface. The body is in the position of maximum stability when the length of the sides placed on the surface are in ratio

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Two inclined frictionless tracks of different inclinations (q1 < q2) meet at A from where two blocks P and Q of different masses are allowed to slide down from rest at the same time, one on each track as shown in fig.

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The CO2 content by volume, in the atmospheric air is about

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A body of mass 10 kg is sliding on a frictionless surface with a velocity of 2ms-1. The force required to keep it moving with a same velocity is

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A boy whose mass is 50 kg stands on a spring balance inside a lift. The lift starts to ascend with an acceleration of 2ms-2. The reading of the machine or balance (g = 10 ms-2) is

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Two masses M and m are connected by a weight less string. They are pulled by a force F on a frictionless horizontal surface. The tension in the string will be

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A body of mass 2 kg is moving with a velocity 8 m/s on a smooth surface. If it is to be brought to rest in 4 seconds, then the force to be applied is

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Two flasks A and B of equal volume contain 2 g of H2 and 2 g of N2 respectively at the same temperature and pressure. The number of molecules in flask A is:

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Chlorophyll-a occurs in                                             &

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In photosynthesis energy from light reaction to dark reaction is transferred in the form of                                  

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Which hormone is responsible for milk ejection after the birth of the baby ?   ( Har. PMT 2008)

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As compared to a C3 - plant, how many additional molecules of ATP are needed for net production of one molecule of hexose sugar by C4 - plants                      &nb

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Menstruation is due to sudden :                                            

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For a real number y, let [y] denotes the greatest integer less than or equal to y. Then, the function f(x) = tan[π(x – π)]/1 + [x2] is [1981, 2M]

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If y2 = P(x) is a polynomial of degree 3, then 2ddxy3d2y

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Consider the following statements in S and R: S : Both six x and cos x are decreasing functions in the interval (π/2, π) R : If a differentiable function decrease in an interval (a, b), then its derivative also decreases in (a, b). Which of the following

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Which of the following functions is differentiable at x = 0? [2001, 2M]

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(d2x/dy2) equals

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If  fx=cos

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fx=cot-1x+

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Range of fx=log

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Let f : R ? R be a function defined by f(x) = x3 + x2 +3x + sin x. then f is

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Enzyme involved in nitrogen assimilation                          (2001)

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Boron in green plants assists in                                           &nbs

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Which one of the following elements is not an essential micronutrient for plant growth?       (2007)

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Which of the following is a symbiotic nitrogen fixer?                    (2009)

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Main function of lenticels is                                              

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 Apparatus to measure rate of respiration and RQ is                                        (19

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Thefunctionfx=x+1

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Ify=fxsatisfiestheconditionf

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If x and y satisfy the equation y = 2[x] + 3 and y = 3 [x – 2] simultaneously, the [x + y] is

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Flowering dependent on cold treatment is                                                 (1992)

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One litre hard water contains 12.00 mg Mg2+ Milliequivalents of washing soda required to remove its hardness is                          (1988)

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What is the weight of oxygen required for the complete combustion of 2.8 kg of ethylene?                                    

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The  number of oxygen atoms in 4.4 g of CO2 is                     (1990)

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The percentage weight of Zn in white vitriol [ZnSO4  x 7H2O] is approximately equal to (Zn = 65, S = 32, O = 16 and H = 1)                        &

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The number of atoms in 4.25 g of NH3 is approximately                   (1999)

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Which one of the following gives positive Fehling’s solution test?         (2001)

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Which is not true statement?                                            &n

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Chargaff’s rule states that in an organism                                       (2003)

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The segment of DNA, which acts as the instrumental manual for the synthesis of the protein is                                 &nb

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Blood analysis of a patient reveals an unusually high quantity of carboxyhaemoglobin content. Which of the following conclusions is most likely to be correct?                      &nbs

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Two opposite forces operate in the growth and development of every population. One of them is related to the ability to reproduce at a given rate. The force opposing to it is called (1998, 2003)

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If the mean and the median pertaining to a certain character of a population are of the same value, the following is most likely to occur  (2007)

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Monoclonal antibodies                                             &nb

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Adrenalin hormone increases :                                            &

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Menstruation is due to sudden :                                            

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This gastrointestinal hormone stimulates insulin secretin:            (AMU 2010)

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The gene for dibetese mellitus is :                                       (BHU 2012)

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The molecular weight of O2 and SO2 are 32 and 64 respectively. At 15°C and 150 mmHg pressure, 1 L of O2 contanis ‘N’ molecules. The number of molecules in 2 L of SO2 under the same conditions of temperature and pressure wil

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cos6 A + sin6 A + 3 sin2 A cos2 A is equal to

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Haemoglobin contains 0.33% of iron by weight. The molecular weight of haemoglobin is approximately 67200. The number of iron atoms (atomic weight of Fe is 56) present in one molecule of haemoglobin are [1998]

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Assuming fully decomposed, the volume of CO2 released at STP on heating 9.85 g of BaCO3 (atomic mass, Ba = 137) will be [2000]

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The number of moles of KMnO4 reduced by one mole of KI in alkaline medium is [2005]

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An element, X has the following isotopic composition: 200X : 90% 199X : 8.0% 202X : 2.0% The weighted average atomic mass of the naturally occurring element X is closest to [2007]

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What volume of oxygen gas (O2) measured at 0°C and 1 atm, is needed to burn completely 1 L of propane gas (C3H8) measured under the same conditions? [2008]

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10 g of hydrogen and 64 g of oxygen were filled in a steel vessel and exploded. Amount of water produced in this reaction will be [2009]

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The amount of zinc required to produce 224 ml of H2 at STP on treatment with dil. H2SO4 will be

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10 dm3 of N2 gas and 10 dm3 of gas X at the same temperature contains the same number of molecules, the gas X is

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Number of g of oxygen in 32.2 g Na2SO4. 10H2O is

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If a =π18then cos a + cos 2a +….+ cos 18a is equal to

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A compound contains atoms of three elements as A, B and C. If the oxidation number of A is +2, B is +5 and that of C is -2, the possible formula of the compound is

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100 cm3 of 0.1 N HCl is mixed with 100 cm3 of 0.2 N NaOH solution. The resulting solution is

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50 ml 10 N H2SO4, 25 ml 12 N HCl and 40 ml 5 N HNO3 were mixed together and the volume of the mixture was made 1000 ml by adding water. The normality of the resultant solution will be

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An aqueous solution of 6.3 g of oxalic acid dehydrate is made up to 250 ml. the volume of 0.1 NaOH required to completely neutratlise 10ml of this solution is

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250 ml of a sodium carbonate solution contains 2.65 grams of Na2CO3. If 10 ml of ml of this solution is diluted to one litre, what is the concentration of the resultant solution?

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3.92 g of ferrous ammonium sulphate crystals are dissolved in 100 ml of water. 20 ml of this solution requires 18 ml of potassium permanganate during titration for complete oxidation. The weight of KMnO4 present in one litre of the solution of

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In the reaction 4NH3(g) + 5O2(g) ? 4NO(g) + 6H2O(l), when 1 mole of ammonia and 1 mole of O2 are made to react to completion

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The density of a mixture of O2 and N2 at STP is 1.3 g/L. Calculate partial pressure of O2?

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Two gases A and B having molecular weights 60 and 45 respectively are enclosed in a vessel. The weight of A is 0.5 g and that of B is 0.2 g. The total pressure of the mixture is 750 mm. Calculate the partial pressure of the two gases. (in mm of Hg)

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Calculate the relative rates of diffusion of 235UF6 and 238UF6 in the gaseous state (At. Mass of F = 19) under the same condition of temperature and pressure?

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When copper is treated with a certain concentration of nitric acid, nitric oxide and nitrogen dioxide are liberated in equal volumes according to the equation, X Cu + y HNO3 ? Cu(NO3)2 + NO + NO2 + H2O The coefficient

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A compound contains atoms of three elements A, B, and C. If the oxidation number of A is +2, B is +5 and that of C is -2, the possible formula of the compound is

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Which will be the proper alternative in place of A in the following equation. 2 Fe3+ (aq) + Sn2+ (aq) ? 2 Fe2+ (aq) + A

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The values of x and y in the following redox reaction, x Cl2 + 6OH- ? ClO3- + y Cl- + 3H2O are

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(x) MnO-4 + (y) H2O2 ? 2Mn+2 + 5H2O + 9O2 + (z)e- In this reaction the value of (x), (y) and (z) are

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A molecule MX2 has no dipole moment.  The sigma bonding orbital used by M is:

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A molecule MX3, has zero dipole moment.  The sigma bonding orbitals used by M (atomic number < 21) are:

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Iris is part of                                              &nb

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In which animal nerve cell is present but brain is absent?              (2002)

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If the electronegativity difference between two atoms is 2.0, the percentage covalent character of the molecule is:

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Amongst LiCl, RbCl, BeCl2 and MgCl2, the compounds with the greatest and the least ionic character respectively are:

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Anhydrous AlCl3 is covalent but AlCl3.  6H2O is ionic because:

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When the hybridisation state of carbon atom changes from sp3 to sp2 and finally to sp, the angle between  the hybridised orbitals

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P2O5 is heated with water to give

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The chirality of the compound

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K2Cr2O7 on heating with aqueous NaOH gives

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When (NH4)2Cr2O7 is heated, the gas evolved is:

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A compound is treated with NaNH2 to give sodium salt. Identify the compound

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Iron crystallizes in a body centred cubic structure. The radius of iron atom if edge length of unit cell is 286 pm, is:

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A unit cell consists of a cube in which the atoms A are occupying the corners while the atoms B are present at the centre of each face. If the atoms A are missing from 2 corners, the simplest formula of the compound is:

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 On heating diethyl ether with conc. HI 2 moles of which of the following is formed

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A crystal lattice with alternate +ve and –ve ions has radius ration 0.524. Its co-ordination number is

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C.N of Zn2+ ions in ZnS structure is:

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M2X has anti fluorite structure. In such structure

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An element has fcc structure having 5.0 x 1023 unit cells. The number of atoms in these unit cells will be.

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Monomer of

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For the reaction 2 A + B ? 3 C + D Which of the following does not express the reaction rate?

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For a first order reaction A à B, the reaction rate at reactant concentration of 0.01 M is found to be 2.0 x 10-5 mol L-1s-1. The half-life period of the reaction is

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A 25°C, the highest osmotic pressure is exhibited by 0.1 M solution of

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On dividing 0.25 by 22.1176 the actual answer is 0.011303. The correctly reported answer will be

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P2O5 is heated with water to give [AIPMT 1991]

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A compound made up of two elements A and B is found to contain 25% A (Atomic mass = 12.5) and 75% B (Atomic mass = 37.5). The simplest formula of the compound is

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Two oxides of a metal contain 50% and 40% metal (M) respectively. If the formula of first oxide of MO2 the formula of the compound.

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Which one of the following monomers gives the polymer neoprene on polymerization? [2003]

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Current flows due north in a horizontal transmission line. Magnetic field at a point P vertically above it directed

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The earth’s magnetic induction at a certain point is 7x10-5Wb/m2. This is to be annulled by the magnetic induction at the centre of a circular conducting loop of radius 5 cm. The required current in the loop is

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Two solenoids having lengths L and 2L and the number of loops N and 4N, both have the same current, then the ratio of the magnetic field will be

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A proton of mass m and charge  is moving in a circular orbit of a magnetic field with energy 1MeV. What should be the energy of a-particle (mass = 4 m and charge = +2e), so that it can revolve in the path of same radius     

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A molecule MX2 has no dipole moment.  The sigma bonding orbital used by M is:

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Which of the following molecules have dipole moment? (i) BeF2   (ii) BF3   (iii) NF3  (iv) H2S

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The oxidation number of phosphorus in Ba(H2PO2)2 is

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The standard reduction potential values of three metallic cations, X, Y, Z are 0.52, -3.03 and -1.18 V respectively. The order of reducing power of the corresponding metal is

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The total number of protons in 10 gm of calcium carbonate is (No = 6.023 x 1023)

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1.12 ml of a gas is produced at S.T.P. by the action of 4.12 mg of alcohol ROH with methyl magnesium Iodide. The molecular mass of alcohol is

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2 g of a mixture of CO and CO2 on reaction with excess I2O5 produced 2.54 g of I2. What be the mass % of CO2 in the original mixture?

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Sulfuryl chloride (SO2Cl2) reacts with water to give a mixture of H2SO4 and HCl. How many moles of baryta would be required to meutralize the solution formed by adding 4 mol of SO2Cl2 to excess of water?

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When burnt in air, 14.0 g mixture of carbon and sulphur gives a mixture of CO2 and SO2 in the volume ratio of 2:1, volume being measured at the same conditions of temperature and pressure moles of carbon in the mixture is

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How many of 0.1 N HCl are required to react completely with 1 g mixture of Na2CO3 and NaHCO3 containing equimolar amount of two?

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10 g CaCO3 were dissolved in 250 ml of M HCl or the solution was boiled. What volume of 2M KOH would be required to equivalence point after boiling? Assume no change in volume during boiling.

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Suppose two elements X and Y combine to form two compounds XY2 and X3Y2 when 0.1 mol of former weighs 10 g while 0.05 mol of the latter weights 9 g. The atomic masses of X and Y are respectively

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The vapour density of a mixture containing NO2 and N2O4 is 27.6. Mole fraction of NO2 in the mixture is

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IN redox reaction, H2O2 oxidizes K4[Fe(CN)6] into K+, Fe+3, CO3-2, and NO3- ions in acidic medium, then how many moles of H2O2 will react with 1 mole of K4

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A 100 ml solution of 0.1 n HCl was titrated with 0.2 N NaOH solution. The titration was discontinued after adding 30 ml of NaOH solution. The remaining titration was completed by adding 0.25 N KOH solution. The volume of KOH required for completing the titration is

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For 109% labeled oleum if the number of moles of H2SO4 and free SO3 be x and y respectively, then what will be the value of x+yx-y

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The simplest formula of a compound containing 50% of element X (atomic mass 10) and 50% of element Y (atomic mass 20) is

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How much of NaOH is required to neutralize 1500 cm3 of 0.1 N HCl (Na = 23)

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Hydrochloric acid solutions A and B have concentration of 0.5 N and 0.1 N respectively. The volume of solutions A and B required to make 2 litres of 0.2 N hydrochloric are

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Reduction potential for the following half-cell reactions are Zn--> Zn2+ + 2e-;                         (EO(Zn

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Cu+(aq) id unstable in solution and undergoes simultaneous oxidation and reduction according to the reaction                               

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A hypothetical electrochemical cell is shown below A | A+ (xM)|| B+ (Ym) |B The emf measured is + 0.20V. The cell reaction is                (2006)

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On the basis of the following EO values, the strongest oxidizing agent is           [Fe(CN)6]4- -->            [Fe(CN)6]3- + e

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The equivalent conductance of M/32 solution of a week monobasic acid is 8.0 mho cm2 and at infinite dilution is 400 mho cm2. The dissociation constant of this acid is                  &nb

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The harmonic mean of the roots of the equation (5 + (2)1/2)x2 – (4 + (5)1/2)x + 8 +2(5)1/2 = 0 is

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Let f(x) = ax2 + bx + c, a ≠ 0 and ? = b2 – 4ac. If α + β. α2 + β2 and α3 + β3 are in GP, then

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If a, b, c, are in G.P., and log a – log 2b, log2b – log3c and log3c – log a are in A.P., then a, b, c are the length of the sides of a triangle which is

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The partial ionic equation, Cr2O2-7 + 14 H+ + 6 e- ? 2 Cr3+ + 7 H2O Suggests that the equivalent weight of Cr2O2-7 will be equal to its formula weight divided by

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For the redox reaction, MnO-4 + C2O2-4 + H+ ? Mn2+ + CO2 + H2O        Correct stoichiometric coefficients of MnO-

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Which will be the proper alternative in place of A in the following equation. 2 Fe3+ (aq) + Sn2+ (aq) ? 2 Fe2+ (aq) + A

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A metallic element exists as cubic lattice. Each edge of the unit cell is 2.88 Å. The density of the metal is 7.20 g cm-3 How many unit cell will be present in 100 g of the metal-

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When KMnO4 acts as an oxidizing agent and ultimately forms MnO-24, MnO2, Mn2O3 and Mn+2, then the number of electrons transferred in each case respectively is

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Number of moles of K2Cr2O7 reduced by 1 mole of Sn2+ is

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The number of geometrical isomers for [Pt(NH3)2]Cl2 is

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Shape of Fe(CO2)5 is

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Among [Ni(CO)4], [Ni(CN)4]2-, [NiCl4]2- species, the hybridization states of the Ni atom are, respectively (At no of Ni = =28)

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In which one of the following molecules, the central atom said to adopt sp2- hybridisation?

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In the reaction A → B when the concentration of reactants is increased by 8 times, the rate of reaction increases only 2 times. The order of reaction would be:

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The rate of reaction: 2H2O2 2H2O + O2 r = k [H2O2]. It is a

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If f (x) = cos π2x-x3

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The function f(x) = [x]2 – [x2] (where [y] is the greatest integer less than or equal to y) is discontinuous at

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 Let f(x) be a polynominal of degree two which is positive for all x ∈ R. If g(x) = f(x) + f’(x) + f’’(x) + xf’’’(x) + x2fiv(x), then for any real x,

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If A and B are two sets such that A has 12 elements, B has 17 elements and A ∪ B has 21 elements, then number of elements in A ∩ B are

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If A = {(x, y) : x2 + y2 = 25} and B = {(x, y) : x2 + 9y2 = 144}, then A ∩ B contains

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If |z-2||z-3|= 2 represents a circle then its radius is

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If n1, n2 are positive integers then (1-i)n1 + (1+i3)n1 + (1+i5)n2 + (1+i7)n2 is a real number if and only if

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The solution of equation |z| = z+1+2i is

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Value of expression 47P4 + ∑j=i552-j C3 is equal to

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The coordinates of the point of of intersection of the line (x=1/1)= (y+3)/3 =(z+2)/-2 with the plane 3x + 4y + 5z = 5

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The shortest distance between the lines x + a = 2y – 12z and x = y + 20 = 6(z-a)is

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The equation of the plane parallel to the plane 2x – 3y - 5z + 1 = 0 and distant 5 units from the point (-1, 3, 1) is

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At surface of earth weight of a person is 72 N then his weight at height R/2 from surface of earth is (R = radius of earth)

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Find out the magnitude of the magnetic field at point P due to following current distribution

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At surface of earth weight of a person is 72 N then his weight at height R/2 from surface of earth is (R = radius of earth)

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A particle carrying a charge equal to 100 times the charge on an electron is rotating per second in a circular path of radius 0.8 metre. The value of the magnetic field produced at the centre will be (μ

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Four particles of masses m, 2m, 3m and 4m are kept in sequence at the corners of a square of side a. The magnitude of gravitational force acting on a particle of mass m placed at the centre of the square will be

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The magnitudes of the gravitational field at distance r1  and r2 from the centre of a uniform sphere of radius R and mass M are F1  and F2  respectively. Then

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 Two concentric shells of mass M1 and M2 are having radii r1 and r2. Which of the following is the correct expression for the gravitational field on a mass m.

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The coefficient of x17 in the expansion of (x-1)(x-2)…(x-18) is

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The coefficient of x53 in the expansion of∑m=0100100Cmx-

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The sum of series∑r=on-1rn

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The ninth term in the expansion of 3log325x-1

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If (-6, -4) and the extremities of the diagonal of a parallelogram and (-2, 1) is its third vertex, then its fourth vertex is

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The image of the point (2, 3) in the line y=x is

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The pair of straight lines perpendicular to the pair of lines ay2+2hxy+bx2=0 has the equation

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A determinant is chosen at random from the set of all dereminants of order 2 with elements 0 or 1 only. The probability that the value of the determinant chosen is negative, is

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If a bag contains 4 tickets numbered 1, 2, 3, 4 and another bag contains 6 tickets numbered 2, 4, 6, 7, 8, 9. One bag is chosen and a ticket is drawn. The probability that the ticket bears the number 4 is

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Three natural numbers are taken at random from the set A={x : 1 ≤ x ≤ 100, x∈N. Then the probability that AM of the numbers taken is 25 is

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Find magnetic field at centre O in each of each of the following figure

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For the solenoid shown in figure. The magnetic field at point P is

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 Find out the magnitude of the magnetic field at point P due to following current distribution

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An electron moves straight inside a charged parallel plate capacitor at uniform charge density σ.The space between the plates is filled with constant magnetic field of induction B→.Tim

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Wires 1 and 2 carrying currents f1 and f2 respectively are inclined at an angle θ to each other. What is the force on a small element dl of wire 2 at a distance of r from 1 (as shown in figure) due to the magnetic field of wire 1

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A circular coil of radius 4 cm and 20 turns carries a current of 3 ampere. It is placed in a magnetic field of 0.5 T. The magnetic dipole moment of the coil is

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Current i flows through a long conducting wire bent at right angle as shown in figure. The magnetic field at a point P on the right bisector of the angle XOY at a distance r from O is

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What is the net force on the coil

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A square coil of N turns (with length of each side equal L) carrying current i is placed in a uniform magnetic field B→=B0j

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A wire abc is carrying current i. It is bent as shown in fig and is placed in a uniform magnetic field of magnetic induction B. Length ab = l and ∠abc = 45o

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There are 25 points in a plane, of which 10 are on the same line. Of the rest, no three collinear and no two are collinear with any of the first ten points. The number of different straight linens that can be formed by joining these points is

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There were two women participants is a class tournament. The number of games the men played between themselves exceeded by 52 the number of games they played with women. If each player played one game with each other, the number of men in the tournament were

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The sum of all the four digit numbers formed with the digits 0, 1, 2, 3 taken all at a time is

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The number of ways in which the letters x1, x2,…x10, y1, y2…, y15 can be arranged in a line such that the suffixes of x and those of y are in ascending order of magnitude is

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 For the solenoid shown in figure. The magnetic field at point P is

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A circular coil of radius 4 cm and 20 turns carries a current of 3 ampere. It is placed in a magnetic field of 0.5 T. The magnetic dipole moment of the coil is

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A particle carrying a charge equal to 100 times the charge on an electron is rotating per second in a circular path of radius 0.8 metre. The value of the magnetic field produced at the centre will be (μ

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A proton and an ∝-particle enter a uniform magnetic field perpendicularly with the same speed. If proton takes 25 µ sec to make 5 revolutions, then the periodic time for the ∝-particle would be              [MP

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Figure shows the cress sectional view of the hollow cylindrical conductor with inner radius 'R' and outer radius '2R', cylinder carrying uniformly distributed current along it's axis. The magnetic induction at point 'P' at a distance 3R/2

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 An electron moves straight inside a charged parallel plate capacitor at uniform charge density σ. The space between the plates is filled with constant magnetic field of induction  B→.

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A wire abc is carrying current i. It is bent as shown in fig and is placed in a uniform magnetic field of magnetic induction B. Length ab = l and Ð abc = 45o. The ratio of force on ab and on bc is

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A long wire AB is placed on a table. Another wire PQ of mass 1.0 g and length 50 cm is set to slide on two rails PS and QR. A current of 50A is passed through the wires. At what distance above AB, will the wire PQ

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A coil of 50 turns is situated in a magnetic field b = 0.25weber/m2 as shown in figure. A current of 2A is flowing in the coil. Torque acting on the coil will be

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What is the net force on the coil                                            &n

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A proton of mass 1.67 x 10-27kg  and charge 1.6 x 10-19C is projected with a speed of 2 x 106 at an angle of 600 to the X-axis. If a uniform magnetic field of 0.104 Tesla is applied along Y-axis, the

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Two very long straight, particle wires carry steady currents i and – i respectively. The distance between the wires is d. At a certain instant of time, a point charge q is at a point equidistant from the two wires, in the plane of the wires. It's i

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Two identical magnetic dipoles of magnetic moments 1.0 A-m2 each, placed at a separation of 2m with their axis perpendicular to each other. The resultant magnetic field at a point midway between the dipoles is

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Two identical bar magnets with a length 10 cm and weight 50 gm – weight are arranged freely with their like poles facing in a arranged vertical glass tube. The upper magnet hangs in the air above the lower one so that the distance between the nearest pole of the magnet

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The time period of a freely suspended magnet is 2 sec. If it is broken in length into two equal parts and one part is suspended in the same way, then its time period will be                   &nb

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A dip needle vibrates in the vertical plane perpendicular to the magnetic meridian. The time period of vibration is found to be 2 seconds. The same needle is then allowed to vibrate in the horizontal plane and the time period is again found to be 2 seconds. Then the angle of

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A magnetising field of 1600 A-m–1 produces a magnetic flux of 2.4 x 10–5 Wb in an iron bar of cross-sectional area 0.2 cm2. The susceptibility of an iron bar is

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 A short bar magnet is placed with its south pole towards geographical north. The neutral points are situated at a distance of 20 cm from the centre of the magnet. If BH=0.3 x 10-4 wb/m2 then the magnetic moment of the magnet is

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A bar magnet has a magnetic moment of 2.5JT-1 and is placed in a magnetic field of 0.2T. Work done in turning the magnet from parallel to anti-parallel position relative to field direction is

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Two magnets of equal mass are joined at right angles to each other as shown the magnet 1 has a magnetic moment 3 times that of magnet 2. This arrangement is pivoted so that it is free to rotate in the horizontal plane. In equilibrium what angle will the magnet 1 subtend with the magnetic merid

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Force between two identical bar magnets whose centres are r metre apart is 4.8 N when their axes are in the same line. If the separation is increases to 2r metre, the force between them is reduced to

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The work done in turning a magnet of magnetic moment M by an angle of 90° form the meridian, is n times the corresponding work done to turn it through an angle of 60°. The value of n is given by        [MP PET 2003]

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If (x2 – x + 1)-1 = a0 + a1x + a2s2 + …., |x| < 1, then am= 0, If m is of the form

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If the sum of the coefficients in the expansion of (1+2x)n is 6561, the greatest term in the expansion for x =1/2 is

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For a positive integer n, if the expansion of (3x2 + x4)n has a term independent of x, then a possible value for n is

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If θ1 and θ2 are the deflections obtained by placing small magnet on the arm of a deflection magnetometer at the same distance from the compass box in tan A and tan B positions of the magnetometer respectively then the value

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Two magnets of equal mass are joined at right angles to each other as shown the magnet 1 has a magnetic moment 3 times that of magnet 2. This arrangement is pivoted so that it is free to rotate in the horizontal plane. In equilibrium what angle will the magnet 1 subtend with the magnetic merid

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When 2 amp. current is passed through a tangent galvanometer, it gives a deflection of 30°. For 60° deflection, The current must be

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A magnetising field of 1600 A-m–1 produces a magnetic flux of 2.4 x 10–5 Wb in an iron bar of cross-sectional area 0.2 cm2. The susceptibility of an iron bar is

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The G.M. of 4, 5, 20, 25 is

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Due to a small magnet intensity at a distance x in the end on position is 9 Gauss. What will be the intensity at a distance x/2 on broad side on  position

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The mean marks of 120 students is 20. It was later discovered that two marks were wrongly taken as 50 and 80 instead of 15 and 18. The correct mean of marks is

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A person’s monthly earning for a year in Rupees are 139, 150, 151, 151, 157, 158, 160, 161, 162, 162, 173, 175. The coefficient of range for his earnings is

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A bar magnet of magnetic moment 3.0 Amp x m is placed in a uniform magnetic induction field of 2 x 10-5 T. If each pole of the magnet experiences a force of 6 x 10-4 N the length of the magnet is

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A short bar magnet is placed with its south pole towards geographical north. The neutral points are situated at a distance of 20 cm from the centre of the magnet. If BH=0.3 x 10-4 wb/m2 then the magnetic moment of the magnet is

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A magnetising field of 2000 A/m produces a flux 6.28 x 10-4 weber in a rod. If the area of cross-section is 2 x 10-5m2. Then the relative permeability of the substance is

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A tower subtends angle θ, 2θ, 3θ at three point A, B and C respectively lying on a horizontal line through the foot of the tower. Then AB/BC is equal to

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A(3, 2, 0), B(5, 3, 2) and C(-9, 6, -3) are the vertices of a triangle ABC. If the  bisector of ∠ABC meets BC at D, then coordinates of D are

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The equation to the plane through (1, 2, 3) parallel to 3x+4y+5z=0 is

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The planes 4x-5z-2z=2, 5x,-4y+2z+2=0, 2x+2y+8z-1=0

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A point P moves so that the points A, B, C taken on x, y, z axes are such that PA, PB, PC are mutually perpendicular and the volume of the tetrachedron OABC is k, where O is the origin. The locus of P is (x2+y2+z2)3=

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A block of mass 100 gm slides on a rough horizontal surface. If the speed of the block decreases from 10 m/s to 5 m/s, the thermal energy developed in the process is              

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If γ = 2.5 and volume is equal to 1/8 times to the initial volume then pressure P ¢ is equal to (initial pressure = P)

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The latent heat of vaporisation of water is 2240 J/gm. If the work done in the process of expansion of 1g is  168 J, then increase in internal energy is

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The coefficient of performance of a Carnot refrigerator working between 30oC and 0oC is                                         

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5 mole of hydrogen gas is heated from 30°C to 60°C at constant pressure. Heat given to the gas is (given R = 2 cal/mole degree)

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If R = universal gas constant, the amount of heat needed to raise the temperature of 2 mole of an ideal monoatomic gas from 273 K to 373 K when no work is done

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The weight of a person is 60 kg. If he gets 105 calories heat through food and the efficiency of his body is 28%, then upto how much height he can climb (approximately)                &

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 A thermodynamic process is shown in the figure. The pressures and volumes corresponding to some points in the figure are: PA=3 x 104Pa, PB=8 x104 Pa and VA= 2 x 10-3m3, VD=5 x 10-3m3

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The P-V diagram of a system undergoing thermodynamic transformation is shown in figure. The work done on the system in going from A ® B ® C is 50 J and 20 cal heat is given to the system. The change in internal energy between A

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Carnot cycle (reversible) of a gas represented by a Pressure-Volume curve is shown in the diagram Consider the following statements I.          Area ABCD = Work done on the gas II.    &nb

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A cyclic process for 1 mole of an ideal gas is shown in figure in the V-T, diagram. The work done in AB, BC and CA respectively

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Four curves A, B, C and D are drawn in the adjoining figure for a given amount of gas. The curves which represent adiabatic and isothermal changes are

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The P-V diagram shows seven curved paths (connected by vertical paths) that can be followed by a gas. Which two of them should be parts of a closed cycle if the net work done by the gas is to be at its maximum value

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Work done by a system under isothermal change from a volume V1 to V2 for a gas which obeys Vander Waal's equation (V−βn)(P+

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5 mole of hydrogen gas is heated from 30°C to 60°C at constant pressure. Heat given to the gas is (given R = 2 cal/mole degree)

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A gas is compressed at a constant pressure of 50N/m2  from a volume of 10 m3 to a volume of 4m3. Energy of 100 J is then added to the gas by heating. Its internal energy is

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An ideal gas of mass m in a state A goes to another state B via three different processes as shown in figure. If Q1, Q2, and Q3 denote the heat absorbed by the gas along the three paths, then

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If R = universal gas constant, the amount of heat needed to raise the temperature of 2 mole of an ideal monoatomic gas from 273 K to 373 K when no work is done

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A gas has pressure P and volume V. It is now compressed adiabatically to 1/32 times the original volume. If (32)1.4=128, the final pressure is

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The P-V diagram of a system undergoing thermodynamic transformation is shown in figure. The work done on the system in going from A ® B ® C is 50 J and 20 cal heat is given to the system. The change in internal energy between A

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A cyclic process ABCA is shown in the V-T diagram. Process on the P-V diagram is

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A cyclic process ABCD is shown in the figure P-V diagram. Which of the following curves represent the same process

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The P-V diagram shows seven curved paths (connected by vertical paths) that can be followed by a gas. Which two of them should be parts of a closed cycle if the net work done by the gas is to be at its maximum value

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Two samples A and B of a gas initially at the same pressure and temperature are compressed from volume V to V/2 (A isothermally and B adiabatically). The final pressure of A is

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An ideal gas is taken around ABCA as shown in the above P-V diagram. The work done during a cycle is

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Carnot cycle (reversible) of a gas represented by a Pressure-Volume curve is shown in the diagram

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The speed of a wave in a certain medium is 960 m/sec. If 3600 waves pass over a certain point of the medium in 1 minute, the wavelength is                        &nbs

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The equation of wave is y = 2 sin π(0.5x – 200 t) where x and y are expressed in cm and t in sec. The wave velocity is                   

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A transverse wave is described by the equation Y = y0  sin 2π(ft – (x/ λ)) The maximum particle velocity is four times the wave velocity if

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The equation of a stationary wave is y = 0.8 cos(πx/20) sin 200 π t where x is in cm. and t is in sec. The separation between consecutive nodes will be

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The equation of displacement of two waves are given as y1 = 10 sin (3πt + (π /3));  y2 = 5 [sin3 πt + (3)1/2 cos 3 πt] Then what is the ratio of their amplitudes

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A plane wave is represented by x = 1.2 sin (314 t + 12.56 y) where x and y are distances measured along in x and y direction in meter and t is time in seconds. This wave has

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A motor car blowing a horn of frequency 124 vibration/sec moves with a velocity 72 km/hr towards a tall wall. The frequency of the reflected sound heard by the driver will be (velocity of sound in air is 330 m/s)

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The equation of a wave travelling on a string is y = 4 sin (π/2) (8t – (x/8)) if x and y are in cm, then velocity of wave is

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N molecules each of mass m of gas A and 2N molecules each of mass 2m of gas B are contained in the same vessel at temperature T. The mean square of the velocity of molecules of gas B is v2 and the mean

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The rms speed of the molecules of a gas in a vessel is 400 ms–1. If half of the gas leaks out at constant temperature, the rms speed of the remaining molecules will be              

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The average degrees of freedom per molecule for a gas is 6. The gas performs 25 J of work when it expands at constant pressure. The heat absorbed by gas is

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On 0°C pressure measured by barometer is 760 mm. What will be pressure on 100°C                                                

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The speeds of 5 molecules of a gas (in arbitrary units) are as follows : 2, 3, 4, 5, 6. The root mean square speed for these molecules is

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The equation of state corresponding to 8g of O2 is

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The root mean square speed of hydrogen molecules of an ideal hydrogen gas kept in a gas chamber at 0°C is 3180 m/s. The pressure on the hydrogen gas is (Density of hydrogen gas is 8.99 x 10-2 kg/m3, 1 atmosphere=1.01 x 105 N/m2)

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Temperature of an ideal gas is T K and average kinetic energy is E=2.07 x 10-23T Joule/molecule. Number of molecules in 1 litre gas at S.T.P. will be

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The average translational energy and the rms speed of molecules in a sample of oxygen gas at 300 K are 6.21 x 10-21 J  and 484 m/s respectively. The corresponding values at 600 K are nearly (assuming ideal gas behaviour)

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gas mixture consists of molecules of type 1, 2 and 3 with molar masses m1>m2>m3.vrms and K¯ are the rms speed and average kinetic energy

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The expansion of unit mass of a perfect gas at constant pressure is shown in the diagram. Here

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40 calories of heat is needed to raise the temperature of 1 mole of an ideal monoatomic gas from 20°C to 30°C at a constant pressure. The amount of heat required to raise its temperature over the same interval at a constant volume (R=2caloriemole

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22 gm of CO2 at 27°C is mixed with 16 gm of O2 at 37°C. The temperature of the mixture is            [CBSE PMT 1995]

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Read the given statements and decide which is/are correct on the basis of kinetic theory of gases            [MP PMT 2003] (I)        Energy of one molecule at absolute tempera

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At the top of a mountain a thermometer reads 7°C and a barometer reads 70 cm of Hg. At the bottom of the mountain these read 27°C and 76 cm of Hg respectively. Comparison of density of air at the top with that of bottom is

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A gas is filled in the cylinder shown in the figure. The two pistons are joined by a string. If the gas is heated, the pistons will

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An ideal monoatomic gas is confined in a cylinder by a spring-loaded piston if cross-section 8 x 10-3m2. Initially the gas is at 300K and occupies a volume of 2.4 x 10-3m3 and the spring is in a relaxed state. The gas is heated by a small he

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The average degrees of freedom per molecule for a gas is 6. The gas performs 25 J of work when it expands at constant pressure. The heat absorbed by gas is

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At which of the following temperature would the molecules of a gas have twice the average kinetic energy they have at 20°C

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The pressure P, volume V and temperature T of a gas in the jar A and the other gas in the jar B at pressure 2P, volume V/4 and temperature 2T, then the ratio of the number of molecules in the jar A and B

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CO2(O-C-O) is a triatomic gas. Mean kinetic energy of one gram gas will be (If N-Avogadro's number, k-Boltzmann's constant and molecular weight of CO2=44)

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A gas at 27°C has a volume V and pressure P. On heating its pressure is doubled and volume becomes three times. The resulting temperature of the gas will be

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40 calories of heat is needed to raise the temperature of 1 mole of an ideal monoatomic gas from 20°C to 30°C at a constant pressure. The amount of heat required to raise its temperature over the same interval at a constant volume (R=2caloriemole

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The adjoining figure shows graph of pressure and volume of a gas at two temperatures T1 and T2. Which of the following interferences is correct

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The capacity of a vessel is 3 litres. It contains 6 gm oxygen, 8 gm nitrogen and 5 gm CO2 mixture at 27°C. If R = 8.31 J/mole ´ kelvin, then the pressure in the vessel in N/m2 will

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A box containing N molecules of a perfect gas at temperature T1 and pressure P1. The number of molecules in the box is doubled keeping the total kinetic energy of the gas same as before. If the new pressure is P2 and temperature T2, then

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Two containers of equal volume contain the same gas at pressures P1 and P2 and absolute temperatures T1 and T2 respectively. On joining the vessels, the gas reaches a common pressure P and common temperature T. The ratio P/

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N molecules each of mass m of gas A and 2N molecules each of mass 2m of gas B are contained in the same vessel at temperature T. The mean square of the velocity of molecules of gas B is v2 and the mean

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A gas mixture consists of molecules of type 1, 2 and 3 with molar masses m1>m2>m3.vrms and K¯ are the rms speed and average kinetic ener

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An ideal monoatomic gas is confined in a cylinder by a spring-loaded piston if cross-section 8 x 10-3m2. Initially the gas is at 300K and occupies a volume of 2.4 x 10-3m3 and the spring is in a relaxed state. The gas is heated by a small he

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The temperature of 5 mole of a gas which was held at constant volume was changed from 100oC to 120oC. The change in internal energy was found to be 80 J. The total heat capacity of the gas at constant volume will be equal to

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At the top of a mountain a thermometer reads 7°C and a barometer reads 70 cm of Hg. At the bottom of the mountain these read 27°C and 76 cm of Hg respectively. Comparison of density of air at the top with that of bottom is

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A long straight wire carrying current of 30 A is placed in an external uniform magnetic field of induction 4 x 10-4 T. The magnetic field is acting parallel to the direction of current. The magnitude of the resultant magnetic induction (in tesla) at a point 2.0 cm away from the wire

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A current of ¼π A is flowing through a toroid. It has 1000 number of turns per metre then value of magnetic field (in Wb/m2) along its axis is

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A moving mass of 8 kg collides elastically with a stationary mass of 2 kg. If E be the initial kinetic energy of the mass, the kinetic energy left with it after collision will be

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A particle moves in a potential region given by U= 8x2-4x+400 J. Its state of equilibrium will be

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A metal ball of mass 2kg moving with a velocity of 36 km/h has an head-on collision with a stationary ball of mass 3kg. If after the collision, the two balls move together, the loss in kinetic energy due to collision is

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One sphere collides with another sphere of same mass at rest inelastically. If the value of coefficient of restitution is 1/2, the ratio of their speeds after collision shall be                    &n

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An unloaded bus and a loaded bus are both moving with the same kinetic energy. The mass of the latter is twice that of the former. Brakes are applied to both, so as to exert equal retarding force. If x1 and x2 be the distance covered by the two buses respectively before c

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A car of mass 400 kg and travelling at 72 kmph crashes into a truck of mass 4000 kg and travelling at 9 kmph, in the same direction. The car bounces back at a speed of 18 kmph. The speed of the truck after the impact is

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A moving body with a mass m1 strikes a stationary body of mass m2. The masses m1 and m2 should be in the ratio m1/m2 so as to decrease the velocity of the first body 1.5 times assuming a perfectly elastic impac

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Which one of the following statement does not hold good when two balls of masses m1 and m2 undergo elastic collision

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If we throw a body upwards with velocity of 4 ms-1 at what height its kinetic energy reduces to half of the initial value ? Take g=10 m/s2

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A body falling from a height of 20m rebounds from hard floor. If it loses 20% energy in the impact, then coefficient of restitution is

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A body of mass 10 kg at rest is acted upon simultaneously by two forces 4N and 3N at right angles to each other. The kinetic energy of the body at the end of 10 sec is                 &nb

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A position dependent force F→=(7−2x+3x2) N act

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Two carts on horizontal straight rails are pushed apart by an explosion of a powder charge Q placed between the carts. Suppose the coefficients of friction between the carts and rails are identical. If the 200 kg cart travels a distance of 36 metres and stops, the di

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The graph between the resistive force F acting on a body and the distance covered by the body is shown in the figure. The mass of the body is 25 kg and initial velocity is 2 m/s. When the distance covered by the body is 5m, its kinetic energy would be

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The potential energy of a system is represented in the first figure. The force acting on the system will be represented by

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Three particles A, B and C of equal mass are moving with the same velocity v along the medians of an equilateral triangle. These particle collide at the centre G of triangle. After collision A becomes stationary, B retraces its pat

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A neutron with 0.6MeV kinetic energy directly collides with a stationary carbon nucleus (mass number 12). The kinetic energy of carbon nucleus after the collision is

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A block of mass M slides along the sides of a bowl as shown in the figure. The walls of the bowl are frictionless and the base has coefficient of friction 0.2. If the block is released from the top of the side, which is 1.5 m high, where will the block come to rest ? Given th

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A force applied by an engine of a train of mass 2.05 x 106 kg changes its velocity from 5 m/s to 25 m/s in 5 minutes. The power of the engine is

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A particle of mass m moving eastward with a speed v collides with another particle of the same mass moving northward with the same speed v. The two particles coalesce on collision. The new particle of mass 2m will move in the north-easterly direction with a velocity

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A wooden block of mass M is suspended by a cord and is at rest. A bullet of mass m, moving with a velocity v pierces through the block and comes out with a velocity v/2 in the same direction. If there is no loss in kinetic energy, then upto what height the block will

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Six identical balls are lined in a straight groove made on a horizontal frictionless surface as shown. Two similar balls each moving with a velocity v collide with the row of 6 balls from left. What will happen

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The charge of As2S3 sol is due to the absorbed:

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The gold number of A, B, C and D are 0.04, 0.002, 10 and 25 respectively. The protective powers of A, B, C and D are in the order.

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A particle moves in a potential region given by U= 8x2-4x+400 J. Its state of equilibrium will be

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A body of mass 2 kg is thrown upward with an energy 490 J. The height at which its kinetic energy would become half of its initial kinetic energy will be [g=9.8 m/s2]

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A long spring is stretched by 2 cm, its potential energy is U. If the spring is stretched by 10 cm, the potential energy stored in it will be

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Consider the following two statements 1. Linear momentum of a system of particles is zero 2. Kinetic energy of a system of particles is zero Then  

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A body of mass 40kg having velocity 4m/s collides with another body of mass 60kg having velocity 2m/s. If the collision is inelastic, then loss in kinetic energy will be

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The charge of As2S3 sol is due to the absorbed:

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A force F=(5i^+3j^)N is applied over a particle which displaces it from its origin to the point 

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A dam is situated at a height of 550 metre above sea level and supplies water to a power house which is at a height of 50 metre above sea level. 2000 kg of water passes through the turbines per second. The maximum electrical power output of the power house if the who

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A body of mass 5 kg is moving with a momentum of 10 kg-m/s. A force of 0.2 N acts on it in the direction of motion of the body for 10 seconds. The increase in its kinetic energy is

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A particle of mass 0.01 kg travels along a curve with velocity given by 4i^+16k^ms-1. After some time, it

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A block of mass 2kg is released from A on the track that is one quadrant of a circle of radius 1m. It slides down the track and reaches B with a speed of 4ms-1 and finally stops at C at a distance of 3m from B. The work

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A box of mass 1 kg is pulled on a horizontal plane of length 1 m by a force of 8 N then it is raised vertically to a height of 2m, the net work done is

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The potential difference applied to an X-ray tube is 5 KV and the current through it is 3.2 mA. Then the number of electrons striking the target per second is

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A conducting wire of cross-sectional area 1 cm2 has 3 x 1023 m–3 charge carriers. If wire carries a current of 24 mA, the drift speed of the carrier is

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The relationship between force and position is shown in the figure given (in one dimensional case). The work done by the force in displacing a body from x=1 cm to x= 5 cm is

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A metre stick, of mass 400 g, is pivoted at one end displaced through an angle 60o. The increase in its potential energy is

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Energy of the electron in nth orbit of hydrogen atom is given by En=−13.6n2e

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When an electron in hydrogen atom is excited, from its 4th to 5th stationary orbit, the change in angular momentum of electron is (Planck’s constant: h=6.6×

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Hydrogen atom emits blue light when it changes from n = 4 energy level to n = 2 level. Which colour of light would the atom emit when it changes from n = 5 level to n = 2 level

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The ratio of the wavelengths for 2 ® 1 transition in Li++, He+ and H is       

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In hydrogen atom, if the difference in the energy of the electron in n = 2 and n = 3 orbits is E, the ionization energy of hydrogen atom is

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The wave number of the energy emitted when electron comes from fourth orbit to second orbit in hydrogen is 20,397 cm–1. The wave number of the energy for the same transition in He+

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From the graph between current i & voltage V shown, identity the portion corresponding to negative resistance

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A wire has resistance 12? . It is bent in the form of a circle. The effective resistance between the two points on any diameter is equal to

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100 cells each of emf 5V and internal resistance 1 ? are to be arranged so as to produce maximum current in a 25 ? resistance. Each row contains equal number of cells. The number of rows should be           

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  In meter bridge the balancing length from left and when standard resistance of 1 ? is in right gas is found to be 20 cm. The value of unknown resistance is

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The resistivity of a potentiometer wire is 40 ´ 10–8 ?m and its area of cross section is 8 ´ 10–6 m2. If 0.2 amp. Current is flowing through the wire, the potential gradient will be

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In an experiment to measure the internal resistance of a cell by potentiometer, it is found that the balance point is at a length of 2 m when the cell is shunted by a 5 ? resistance; and is at a length of 3 m when the cell is shunted by a 10 ? resistance. The internal resista

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A wire of length L and 3 identical cells of negligible internal resistances are connected in series. Due to this current, the temperature of the wire is raised by DT in time t. A number N of similar cells is now connected in series with a wire of the same ma

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The scale of a galvanometer of resistance 100 ? contains 25 divisions. It gives a deflection of one division on passing a current of 4 ´ 10–4 A. The resistance in ohms to be added to it, so that it may become a voltmeter of range 2.5 volt is

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In the following circuit diagram fig. the lengths of the wires AB and BC are same but the radius of AB is three times that of BC. The ratio of potential gradients at AB and BC will be

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A beam of electron is emitted from filament and accelerated by an electric field as shown in figure. The two stops at the left ensure that the electric beam has uniform cross-section

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The total current supplied to the circuit by the battery is

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In the following figure potential difference between A and B is

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Resistances of 6 ohm each are connected in the manner shown in adjoining figure. With the current 0.5 ampere as shown in figure, the potential difference VP – VQ is

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If the current through 3 ? resistor is 0.8 A then the potential drop through 4 ? resistor is

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By a cell a current of 0.9 A flows through 2 ohm resistor and 0.3 A through 7 ohm resistor. The internal resistance of the cell is

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Current flows due north in a horizontal transmission line. Magnetic field at a point P vertically above it directed

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Two infinite length wires carries currents 8A and 6A respectively and placed along X and Y-axis. Magnetic field at a point P (0, 

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Figure shows the cress sectional view of the hollow cylindrical conductor with inner radius 'R' and outer radius '2R', cylinder carrying uniformly distributed current along it's axis. The magnetic induction at point 'P' at a distance

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Two solenoids having lengths L and 2L and the number of loops N and 4N, both have the same current, then the ratio of the magnetic field will be        

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A proton and an α−particle enter a uniform magnetic field perpendicularly with the same speed. If proton takes 25μ 

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The number of photons of wavelength 540 nm emitted per second by an electric bulb of power 100W is (taking h=6×10−34

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Photo-energy 6 eV are incident on a surface of work function 2.1 eV. What are the stopping potential 

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A photo cell is receiving light from a source placed at a distance of 1 m. If the same source is to be placed at a distance of 2 m, then the ejected electron     

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The cut off wavelength of continuous X-ray from two coolidge tubes operating at 30 kV but using different target materials (molybdenum Z= 42 and tungsten Z = 74) are

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The energy that should be added to an electron to reduce its de-Broglie wavelengths from 10−10m to 0.

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A photon of energy 12.4 eV is completely absorbed by a hydrogen atom initially in the ground state so that it is excited. The quantum number of the excited state is

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The ionisation potential of hydrogen is 13.6eV. Then the energy released when an electron jumps from n = 3 to n = 2 orbit, is

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From a newly formed radioactive substance (Half-life 2 hours), the intensity of radiation is 64 times the permissible safe level. The minimum time after which work can be done safely from this source is

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An element has binding energy 8 eV/nucleon. If it has total binding energy 128 eV, then the number of nucleons are (QBP 314)

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Four physical quantities are listed in column I. Their values are listed in column II in a random order Column I

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While a collector to emitter voltage is constant in a transistor, the collector current changes by 8.2 mA when the emitter current changes by 8.3 mA. The value of forward current ratio hfe is       

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For a transistor amplifier in common emitter configuration for load impedance of 1 k? (hfe = 50 and hoe = 25) the current gain is 

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A P-type semiconductor has acceptor levels 57 meV above the valence band. The maximum wavelength of light required to create a hole is (Planck’s constant h = 6.6×

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The equation(P+aV2)(V−b)  = constant. The units of a is

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You may not know integration. But using dimensional analysis you can check on some results. In the integral  ∫dx(2a

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A force F is given by F=at+bt2, where t is time. What are the dimensions of a and b

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The Richardson equation is given by I=AT2e−B/kT. The dimensional formula for AB2

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A man goes 10m towards North, then 20m towards east then displacement is

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A person completes half of its his journey with speed u1 and rest half with speed u2. The average speed of the person is         

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The displacement of the particle is given by y=a+bt+ct2−dt4. The i

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A body starts from the origin and moves along the x-axis such that velocity at any instant is given by (4t3−2t), where t is in se

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A body of 5 kg is moving with a velocity of 20 m/s. If a force of 100 N is applied on it for 10s in the same direction as its velocity, what will now be the velocity of the body

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A ball is dropped from top of a tower of 100m height. Simultaneously another ball was thrown upward from bottom of the tower with a speed of 50 m/s (g=10m/s2

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A projectile thrown from a height of 10 m with velocity of 2 m​/​s, the projectile will fall, from the foot of proj

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A ball is thrown from the top of a tower with an initial velocity of 10 m/s at an angle of 30o above the horizontal. It hits the ground at a distance of 17.3 m from the base of the tower. The height of the tower (g = 10 m/s2) will be

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A rigid body is rotating with variable angular velocity (a−bt) at any instant of time t. The total angle subtended by it before coming to rest will be (a a

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The total kinetic energy of a body of mass 10 kg and radius 0.5 m moving with a velocity of 2 m/s without slipping is 32.8 joule.  The radius of gyration of the body is

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The ratio of kinetic energies of two spheres rolling with equal centre of mass velocities is 2 : 1. If their radii are in the ratio 2 : 1; then the ratio of their masses will be

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Let g be the acceleration due to gravity at earth's surface and K be the rotational kinetic energy of the earth. Suppose the earth's radius decreases by 2% keeping all other quantities same, then

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If work W is done in blowing a bubble of radius R from a soap solution, then the work done in blowing a bubble of radius 2R from the same solution is                   &nbs

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When two soap bubbles of radius r1 and r2(r2>r1)  coalesce, the radius of curvature of common surfac

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There are two wires of same material and same length while the diameter of second wire is 2 times the diameter of first wire, then ratio of extension produced in the wires by applying same load will be

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