Test12
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The parameter, on which the value of the determinant

Test12
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The number of distinct real roots of

Test12
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If f(x) =

Test21
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The packing efficiency of the two-dimensional square unit cell shown below

Test21
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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

Test21
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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

Test42
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Test71
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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

Test164
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Test186
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Current flows due north in a horizontal transmission line. Magnetic field at a point P vertically above it directed

Test186
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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)       

Test197
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Find out the magnitude of the magnetic field at point P due to following current distribution

Test204
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For the solenoid shown in figure. The magnetic field at point P is

Test205
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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

Test205
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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

Test209
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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

Test209
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 Find out the magnitude of the magnetic field at point P due to following current distribution

Test211
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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

Test211
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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

Test212
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Find magnetic field at centre O in each of the following figure

Test212
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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

Test224
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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

Test226
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In the following indicator diagram, the net amount of work done will be

Test226
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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

Test226
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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

Test226
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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

Test228
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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       

Test229
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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

Test230
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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

Test231
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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

Test241
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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       

Test241
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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

Test242
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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

Test247
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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

Test248
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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

Test255
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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

Test255
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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

Test255
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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

Test256
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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  &

Test258
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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

Test268
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If each resistance in the figure is of 9 ? then reading of ammeter is        

Test276
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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

Test277
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In the following figure potential difference between A and B is

Test278
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In the circuit shown in the figure, the current through

Test278
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In the steady state what will be the power dissipation in following circuit\

Test279
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Current flows due north in a horizontal transmission line. Magnetic field at a point P vertically above it directed

Test280
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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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