SureDen
Velocity: Rate of change of position with time is called velocity.
(a) It is a vector quantity
When a sound wave travels through a medium such as air, water or steel, it will set particles of medium into vibration as it passes through it. For this to happen the medium m
If a liquid is filled in a vessel up to height H and a hole is made at a depth h below the free surface of the liquid as shown in fig. then taking the level
When a body moves through a fluid, the fluid in contact with the body is dragged with it. This establishes relative motion in fluid layers near the body, due to which viscous
Magnetic force on a moving charge: the electric charges moving in a magnetic field experiences a force F such that
(i) The force is proportional to
Formulas and Important Points
1. v = u+ at ... s=ut+(1/2)t2 ..... v2-u2 = 2as .....
Oblique Projectile.
In projectile motion, horizontal component of velocity (u cos?), acceleration (g) and mechanical energy remains constant while, speed, velocity, vertical component of velocity (u sin ?), momentum, kinetic energy and potent
Rolling on an Inclined Plane
When a body of mass m and radius R rolls down on inclined plane of height ‘h’ a
In the absence of any electric field, the free electrons of a metal are in a state of continuous random motion. At room temp. their random velocities corresponds to 105
1. When the velocity is constant, can the average velocity over any time interval differ from the instantaneous velocity at any instant? If so, give an example; if not, explain why.
2. When racing car, in a qualifying two-lap het, covers the first lap with an avera
SWIMMER PROBLEMS
Consider a river of width D.
Let Vr= velocity of system
(1) These waves propagate in the forward direction of medium with a finite velocity.
(2) Energy and momentum are transmitted in the direction of propagation of wave
Orbital Velocity of Satellite.
Angular Displacement
Collision is an isolated event in which a strong force acts between two or more bodies for a short time as a result of which the energy and momentum of the in
Relation between Current and Drift velocity :-
Suppose a potential d
Graphs
x-t graphs(Slope of x-t graph gives velocity)
a) for Rest
Position of Object Remains Same
x= constant
v=0
a=0
(1) Stream line flow : Stream line flow of a liquid is that flow in which each element of the liquid passing through a point travels along the same path
Escape Velocity.
The minimum velocity with which a body must be projected up so as to enable it to just overcome the gravitational pull, is known a
Whenever there is a relative motion between a source of sound and the listener, the apparent frequency of sound heard by the listener is different from the actual frequency of
Displacement y=asinω t
Mean velocity of gas molecules :-
It is defined as arithmetical mean of the velocity of the gas molecules
Heisenberg’s uncertainty principle- given by Warner Heisenberg
“It is impossible to meas
In case of steady flow of a fluid when a layer of fluid slips or tends to slip on adjacent layers in contact, the two layer exert tangential force on each other which tries to
Velocity of the particle executing S.H.M. at any instant, is defined as the time rate of change of its displacement at that instant.
In case of S.H.M. when motion i
Motion With Uniform Velocity
Consider a particle moving along x-axis with uniform velocity u starting from the point x =xi at t = 0.
Equations of x, v, a are : x (t) = xi + ut ; v (t) = u ; a (t) = 0
x- t
Viscosity → It is defined as internal resistance to flow of liquids
All parts of liquid do not move with the same velocity through tube : from
If a particle is accelerated with constant acceleration in an interval of time, then the motion is termed as uniformly accelerated motion in that interval of time.For uniformly accelerated motion along a straight line, following equations can be used
(a) Ist equation of Motion
The equation of continuity is derived from the principle of conservation of mass.
A non-viscous liquid in streamline flow passes thro
The energy to which the human ears are sensitive is known as sound. In general all types of waves are produced in an elastic material medium, Irrespective of whether these are
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If area (A) velocity (v) and density (r) are base units, then the dimensional formula of force can be represented as
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Terminal velocity acquired by a spherical stone in a liquid depends on cofficient of viscocity ,density of liquid , radius of stone and acceleration due to gravity.They are related as
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A person sitting in an open car moving at constant velocity throws a ball vertically up into air. The ball fall
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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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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 potential difference of V is applied at the ends of a copper wire of length l and diameter d. On doubling only d, drift velocity &
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If a ball falls vertically down from a height 10 m , its velocity just before reaching the ground is (take g=10)
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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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If a ball is falling freely from 5m height,what is the velocity of a ball just before reaching the ground.
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When a particle is in motion, its velocity is always in the direction of motion.
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When the projectile is at the highest point of its trajectory,the direction of its velocity and acceleration are
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If the initial velocity of a projectile be doubled. Keeping the angle of projection same, the maximum height reached by it will
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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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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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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 force of 100 dynes acts on mass of 5 gm for 10 sec. The velocity produced is
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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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At a place where the acceleration due to gravity is 10m sec-1 a force of 5 kg-wt acts on a body of mass 10 kg initially at rest. The velocity of the body after 4 second is
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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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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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When a particle is in motion, its velocity is always in the direction of motion.
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When a particle moves with uniform velocity, its displacement always increases with time.
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When a particle moves with uniform velocity, its displacement always increases with time.
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The instantaneous magnitude of velocity is equal to the slope of the tangent drawn at the trajectory of the particle at that instant.
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A particle with 10–11 coulomb of charge and 10–7 kg mass is moving with a velocity of 108 m/s along the y-axis. A uniform static magnetic field B = 0.5 Tesla is acting along the x-direct
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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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A proton and an ∝- particles enters in a uniform magnetic field with same velocity, then ratio of the radii of path describe by them
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A particle with 10–11 coulomb of charge and 10–7 kg mass is moving with a velocity of 108 m/s along the y-axis. A uniform static magnetic field B = 0.5 Tesla is acting along the x-direct
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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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A particle of mass m and charge q moves with a constant velocity v along the positive x direction. It enters a region containing a uniform magnetic field B directed along the negative z direction extending from x = a to x = b.
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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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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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A particle with 10–11 coulomb of charge and 10–7 kg mass is moving with a velocity of 108 m/s along the y-axis. A uniform static magnetic field B = 0.5 Tesla is acting along the x-direct
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A proton and an ∝- particles enters in a uniform magnetic field with same velocity, then ratio of the radii of path describe by them
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A particle of mass m and charge q moves with a constant velocity v along the positive x direction. It enters a region containing a uniform magnetic field B directed along the negative z direction extending from x = a to x = b.
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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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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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The frequency of sound wave is n and its velocity is v if the frequency is increased to 4n the velocity of the wave will be
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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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The driver of car travelling with a speed 30 meter/sec. towards a hill sounds a horn of frequency 600 Hz. If the velocity of sound in air is 330 m/s the frequency of reflected sound as heard by the driver is
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A wave is represented by the equation y = 0.5 sin (10 t + x)m. It is a travelling wave propagating along the x direction with velocity. &nb
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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 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 source of sound s is moving with a velocity 50 m/s towards a stationary observer. The observer measures the frequency of the source as 1000 Hz. What will be the apparent frequency of the source when it is moving away from the observer after crossing him ? The vel
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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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The driver of car travelling with a speed 30 meter/sec. towards a hill sounds a horn of frequency 600 Hz. If the velocity of sound in air is 330 m/s the frequency of reflected sound as heard by the driver is
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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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A wave is represented by the equation y = 0.5 sin (10 t + x)m. It is a travelling wave propagating along the x direction with velocity.
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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 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 frequency of sound wave is n and its velocity is v if the frequency is increased to 4n the velocity of the wave will be
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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 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 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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At what temperature is the root mean square velocity of gaseous hydrogen molecules is equal to that of oxygen molecules at 47°C
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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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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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Certain amount of an ideal gas are contained in a closed vessel. The vessel is moving with a constant velocity v. The molecular mass of gas is M. The rise in temperature of the gas when the vessel is suddenly stopped is (γ=Cp/Cv)
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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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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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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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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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At what temperature is the root mean square velocity of gaseous hydrogen molecules is equal to that of oxygen molecules at 47°C
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Certain amount of an ideal gas are contained in a closed vessel. The vessel is moving with a constant velocity v. The molecular mass of gas is M. The rise in temperature of the gas when the vessel is suddenly stopped is (γ=Cp/Cv)
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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 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 vehicle is moving on a rough horizontal road with velocity v. The stopping distance will be directly proportional to
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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 big ball of mass M, moving with velocity u strikes a small ball of mass m, which is at rest. Finally small ball attains velocity u and big ball v. Then what is the value of v
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A 300 g mass has a velocity of (3i^+4j^)m/sec at a certain instant. What is its kinetic energy
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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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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 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 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 neutron travelling with a velocity v and K.E. E collides perfectly elastically head on with the nucleus of an atom of mass number A at rest. The fraction of total energy retained by neutron is
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A car of mass ‘m’ is driven with acceleration ‘a’ along a straight level road against a constant external resistive force ‘R’. When the velocity of the car is ‘v’, the rate at which the engine of the car is doi
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A smooth sphere of mass M moving with velocity u directly collides elastically with another sphere of mass m at rest. After collision their final velocities are V and v respectively. The value of v is &nb
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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 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 ball of mass 1kg, moving with a velocity of 0.4m/s collides with another stationary ball. After the collision, the first ball moves with a velocity of 0.3m/s in a direction making an angle of 90o with its initial direction. The momentum of second ball after collision will be (in
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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 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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n small balls each of mass m impinge elastically each second on a surface with velocity u. The force experienced by the surface will be
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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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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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A rubber ball is dropped from a height of 5m on a planet where the acceleration due to gravity is not known. On bouncing, it rises to 1.8 m. The ball loses its velocity on bouncing by a factor of &n
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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 ball moving with velocity of 9m/s collides with another similar stationary ball. After the collision both the balls move in directions making an angle of 30o with the initial direction. After the collision their speed will be
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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 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 bullet of mass a is fired with velocity b in a large block of mass c. The final velocity of the system will be
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A bullet of mass m moving with velocity v strikes a block of mass M at rest and gets embeded into it. The kinetic energy of the composite block will be
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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 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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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 bag P (mass M) hangs by a long thread and a bullet (mass m) comes horizontally with velocity v and gets caught in the bag. Then for the combined (beg + bullet) system the &
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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 body of mass m moving along a straight line collides with a body of mass nm which is also moving with a velocity kv in the same direction. If the first body comes to rest after the collision, then the velocity of second body after the collision would be
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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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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 vehicle is moving on a rough horizontal road with velocity v. The stopping distance will be directly proportional to
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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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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 300 g mass has a velocity of (3i^+4j^)m/sec at a certain instant. What is its kinetic energy
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A neutron travelling with a velocity v and K.E. E collides perfectly elastically head on with the nucleus of an atom of mass number A at rest. The fraction of total energy retained by neutron is
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A big ball of mass M, moving with velocity u strikes a small ball of mass m, which is at rest. Finally small ball attains velocity u and big ball v. Then what is the value of v
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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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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 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 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 ‘m’ is driven with acceleration ‘a’ along a straight level road against a constant external resistive force ‘R’. When the velocity of the car is ‘v’, the rate at which the engine of the car is doi
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A bag P (mass M) hangs by a long thread and a bullet (mass m) comes horizontally with velocity v and gets caught in the bag. Then for the combined (beg + bullet) system the
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A bullet of mass a is fired with velocity b in a large block of mass c. The final velocity of the system will be
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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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n small balls each of mass m impinge elastically each second on a surface with velocity u. The force experienced by the surface will be
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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 potential difference of V is applied at the ends of a copper wire of length l and diameter d. On doubling only d, drift velocity
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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 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 body of mass m moving along a straight line collides with a body of mass nm which is also moving with a velocity kv in the same direction. If the first body comes to rest after the collision, then the velocity of second body after the collision would be
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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 ball of mass 1kg, moving with a velocity of 0.4m/s collides with another stationary ball. After the collision, the first ball moves with a velocity of 0.3m/s in a direction making an angle of 90o with its initial direction. The momentum of second ball after collision will be (in
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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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A particle of mass m and charge q moves with a constant velocity v along the positive x direction. It enters a region containing a uniform magnetic field B directed along the negative z direction extending from x = a to x = b.
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In Bainbridge mass spectrograph a potential difference of 1000 V is applied between two plates distant 1 cm apart and magnetic field in B = 1T. The velocity of undeflected positive ions in m/s from the velocity selector is
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The de-Broglie wavelength associated with a hydrogen atom moving with a thermal velocity of 3 km/s will be
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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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An electron is accelerated through a pd of 45.5 volt. The velocity acquired by it is (in ms-1)......
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The velocity of an electron in the inner-most orbit of an atom is
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The mass defect in a particular nuclear reaction is 0.3 gm. The amount of energy liberated in kilowatt hours is (Velocity of light = 3 ´ 108 m/s)
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If the acceleration due to gravity be taken as the unit of acceleration and the velocity generated in a falling body in one second as the unit of velocity then
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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 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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The displacement of the particle is given by y=a+bt+ct2−dt4. The i
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The relation between time t and distance x is t=α x2+βx, where a
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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 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 ratio of the numerical values of the average velocity and average speed of a body is always
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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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The velocity of a body depends on time according to the equation v=20+0.1t2.The body is undergoing
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In the above problem the mean velocity of rocket in reaching the maximum height will be
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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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At the top of the trajectory of a projectile, the directions of its velocity and acceleration are
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A boy throws a ball with a velocity V0 at an angle a to the horizontal. At the same instant he starts running with uniform velocity to catch the ball before it hits the ground. To achieve this, he should run with a velocity of
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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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From the top of a tower 19.6 m high, a ball is thrown horizontally. If the line joining the point of projection to the point where it hits the ground makes an angle of 45o with the horizontal, then the initial velocity of the ball is
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Two paper screens (A) and (B) are separated by a distance of 100 m. A bullet pierces (A) and (B) the hole in (B) is 10 cm below the hole is (A). If the bullet is travelling horizontally at the time of hitting (A).
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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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Galileo’s experiment showed that if two bodies of unequal masses are dropped from the same height, the time required by them to reach the ground are equal. But if they are thrown vertically upwards with the same initial velocity, the ratio of the time required to reach the ground is equa
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A projectile is thrown in the upward direction making an angle of 60o with the horizontal direction with a velocity of 147 ms–1. Then the time after which its inclination with the horizontal is 45o is
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A projectile fired with initial velocity u at some angle q , has a range R. If the initial velocity be doubled at the same angle of projection, then the range will be
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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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An aeroplane is flying horizontally with a velocity of 600 km/h and at a height of 1960m. When it is vertically at a point A on the ground, a bomb is released from it. The bomb strikes the ground at point B. The distance AB is
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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 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 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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The work done to project a body with a certain velocity is W. What extra work is required to be done to double its velocity
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A particle B is moving in a circle of radius a with a uniform speed u. C is the centre of the circle and AB is diameter. The angular velocity of B about A and C are in the ratio
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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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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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When a ceiling fan is switched off, its angular velocity falls to half while it makes 36 rotations. How many more rotations will it make before coming to rest (Assume uniform angular retardation)
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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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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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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 uniform heavy disc is rotating at constant angular velocity w about a vertical axis through its centre and perpendicular to the plane of the disc. Let L be its angular momentum. A lump of plasticine is dropped vertically on the disc and sticks to it. Which
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A rocket is launched with velocity 10 km/s. If radius of earth is R, then maximum height attained by it will be
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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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