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Centre of Mass, Linear momentum, Collision — JEE Main & Advanced Physics PYQs

118 previous year questions from Centre of Mass, Linear momentum, Collision with answers and solutions. Numbered list, year tags, and one-tap solutions — built for serious JEE / NEET practice.

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1

As illustrated in the figure, a water molecule has a specific structure. Determine the distance of the molecule's centre of mass from the centre of the oxygen atom.

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 2

A uniform disc of radius R is placed upon another uniform disc of radius 2R having the same thickness and density. The edges of the two discs touch one another. Determine the locat

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 3

A disc of radius R is cut out from a larger disc of radius 2R such that the edge of the hole touches the edge of the larger disc. Determine the location of the centre of mass of th

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 4

Three particles with masses of 1.0 kg , 2.0 kg and 3.0 kg are situated at the corners A , B and C respectively of an equilateral triangle ABC having an edge of 1 m . Find the coord

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 5

Seven homogeneous bricks, each having a length L , are arranged as depicted in the figure. Every brick is shifted by L/10 relative to the one in contact with it. Determine the x -c

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 6

A circular disc of diameter d and a square plate of edge d are placed touching each other at the midpoint of an edge of the plate, as shown in the figure. Determine the centre of m

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 7

Two blocks of masses 10 kg and 20 kg are located on the X -axis. The first mass is displaced along the axis by a distance of 2 cm . By what distance must the second mass be moved i

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 8

Determine the velocity of the centre of mass for the system of particles depicted in the figure.

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 9

Two blocks of masses 10 kg and 30 kg are situated along a vertical line. The first block is elevated by 7 cm . By what distance must the second block be displaced in order to raise

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 10

A tray of mass M , carrying a cubical block of ice of mass m and edge L , is at rest in the middle of a gravity-free hall as shown in the figure. By what distance does the centre o

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 11

Determine the position of the centre of mass for a uniform plate that has semicircular inner and outer boundaries with radii R₁ and R₂ , as shown in the figure.

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 12

Mr. Sharma ( 50 kg ) and Mr. Gupta ( 60 kg ) are seated at the two opposite ends of a 4 m long boat ( 40 kg ) resting still in water. In order to discuss a mechanics problem, they

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 13

A cart of mass M rests on a frictionless horizontal surface, and a pendulum bob of mass m hangs from the roof of the cart as shown in the figure. After the string breaks, the bob f

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 14

The balloon, the light rope, and the monkey shown in the figure are initially at rest in the air. If the monkey reaches the top of the rope, determine the distance by which the bal

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 15

Determine the ratio of the linear momenta for two particles having masses of 1.0 kg and 4.0 kg , given that they possess equal kinetic energies.

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 16

Initially at rest, a uranium-238 nucleus emits an alpha particle with a speed of 1.4 imes 10^7 m/s . Determine the recoil speed of the residual thorium-234 nucleus. Assume that the

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 17

A man having a mass of 50 kg begins moving on the earth and attains a speed of 1.8 m/s . What is the recoil speed of the earth? The mass of the earth is 6 10²⁴ kg .

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 18

A neutron initially at rest, decays into a proton, an electron, and an antineutrino. The ejected electron has a momentum of 1.4 10⁻²⁶ kg-m/s while the antineutrino has 6.4 10⁻²⁷ kg

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 19

A neutron initially at rest, decays into a proton, an electron, and an antineutrino. The ejected electron has a momentum of 1.4 10⁻²⁶ kg-m/s while the antineutrino has 6.4 10⁻²⁷ kg

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 20

A person of mass M holding a bag of mass m slips from the roof of a tall building of height H and begins falling vertically, as shown in the figure. At a height h from the ground,

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 21

A ball of mass 50 g travelling at a speed of 2.0 m/s strikes a plane surface at an angle of incidence 45^ . The ball is reflected by the plane at an equal angle of reflection with

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 22

A ball of mass 50 g travelling at a speed of 2.0 m/s strikes a plane surface at an angle of incidence 45^ . The ball is reflected by the plane at an equal angle of reflection with

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 23

In certain cases, light may be viewed as a stream of particles termed photons. Each photon carries a linear momentum h/ , where h is Planck's constant and is the wavelength of the

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 24

A stationary block explodes into three equal parts. Two of the parts travel along the X and Y axes, respectively, each with a speed of 10 m/s . Determine the initial velocity of th

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 25

Two heavy astronauts, each having a mass of 120 kg , are travelling in a closed spaceship moving at a speed of 15 km/s in outer space, far removed from all other material objects.

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 26

Amidst a heavy rain, hailstones having an average diameter of 1.0 cm descend at an average speed of 20 m/s . Assume 2000 hailstones impact each square meter of a 10 m 10 m roof per

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 27

A ball of mass m is dropped onto a floor from a certain height. The collision is perfectly elastic, causing the ball to rebound to the same height and fall again. Determine the ave

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 28

A railroad car of mass M initially rests on frictionless rails. A man of mass m starts moving towards the engine on the car. If the car recoils backward along the rails with a spee

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 29

A gun is mounted on a railroad car. The combined mass of the car, the gun, the shells, and the operator is 50m , where m represents the mass of a single shell. If the shell's veloc

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 30

Two persons, each of mass m , are standing at the two extremes of a railroad car of mass M resting on a smooth track, as shown in the figure. The person on the left jumps to the le

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 31

As shown in the figure, a small block of mass m is set in motion with a speed v along the horizontal portion of a bigger block of mass M that rests on a horizontal floor. The curve

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 32

A traditional Bugghi (a luxury cart drawn by horses) features a wooden plate attached to its rear where a person can sit. A bugghi with a mass of 200 kg is travelling at 10 km/h .

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 33

A ball having a mass of 0.50 kg and travelling at a speed of 5.0 m/s collides with another ball of mass 1.0 kg . Following the collision, the two stick together and stay motionless

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 34

A 60 kg man skating at a speed of 10 m/s collides with a 40 kg skater at rest, and they cling to each other. Determine the loss of kinetic energy during the collision.

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 35

Two particles having masses m₁ and m₂ undergo a head-on collision. Their initial speeds are u₁ and u₂ , travelling in the same direction. The collision commences at t = 0 and the p

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 36

A bullet of mass m travelling at a speed v strikes a ball of mass M that is initially at rest. A small part with mass m' breaks off from the ball and sticks to the bullet. The rema

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 37

A ball of mass m travelling at a speed v undergoes a head-on collision with an identical ball at rest. Following the collision, the total kinetic energy of the balls is three-fourt

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 38

A block of mass 2.0 kg travelling at 2.0 m/s undergoes a head-on collision with another block of equal mass kept at rest. Determine the maximum possible loss in kinetic energy due

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 39

A block of mass 2.0 kg travelling at 2.0 m/s undergoes a head-on collision with another block of equal mass kept at rest. If the actual loss in kinetic energy is half of the maximu

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 40

A particle of mass 100 g travelling at an initial speed u collides with another particle of the same mass initially at rest. If the total kinetic energy after the collision becomes

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 41

Two friends, Ankit and Bharat, each weighing 40 kg, sit at a separation of d on a frictionless platform. Ankit rolls a 4 kg ball along the platform towards Bharat, who catches it.

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 42

Two friends, Ankit and Bharat, each weighing 40 kg, sit at a separation of d on a frictionless platform. Ankit rolls a 4 kg ball along the platform towards Bharat, who catches it.

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 43

Two friends, Ankit and Bharat, each weighing 40 kg, sit at a separation of d on a frictionless platform. Ankit rolls a 4 kg ball along the platform towards Bharat, who catches it.

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 44

Two friends, Ankit and Bharat, each weighing 40 kg, sit at a separation of d on a frictionless platform. Ankit rolls a 4 kg ball along the platform towards Bharat, who catches it.

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 45

Two friends, Ankit and Bharat, each weighing 40 kg, sit at a separation of d on a frictionless platform. Ankit rolls a 4 kg ball along the platform towards Bharat, who catches it.

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 46

A ball drops to the ground from a height of 2.0 m and then rebounds to a height of 1.5 m . Determine the coefficient of restitution.

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 47

During a gamma decay process, a nucleus of mass M undergoes a decrease in its internal energy, emitting a gamma photon with energy E and linear momentum E/c while the nucleus recoi

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 48

As shown in the figure, a block of mass 2.0 kg travels at a velocity of 1.0 m/s on a frictionless horizontal surface towards a second block of equal mass that is at rest. The sprin

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 49

A bullet of mass 20 g travelling horizontally at a speed of 500 m/s passes through a wooden block of mass 10.0 kg initially resting on a level surface. The bullet emerges with a sp

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 50

A projectile is launched at a speed u and an angle heta above a horizontal field. If the coefficient of restitution for the impact between the projectile and the field is e , deter

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 51

A ball falls onto an inclined plane of inclination from a height h above the point of impact and undergoes a perfectly elastic collision. At what distance along the incline will it

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 52

A ball falls onto an inclined plane of inclination from a height h above the point of impact and undergoes a collision with coefficient of restitution e . Use = 45^ , e = 3 4 and h

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 53

A block of mass 200 g is suspended from a vertical spring. At equilibrium, the spring is stretched by 1.0 cm . A particle of mass 120 g is dropped onto the block from a height of 4

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 54

A bullet of mass 25 g is fired horizontally into a 5.0 kg ballistic pendulum and becomes embedded within it, as shown in the figure. If the centre of the pendulum rises by a distan

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 55

A bullet with a mass of 20 g travelling horizontally at a speed of 300 m/s is fired into a wooden block of mass 500 g suspended by a long string. The bullet passes through the bloc

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 56

Two masses m₁ and m₂ are placed on a frictionless horizontal surface and connected by a spring having a spring constant k . The system is released from rest after the spring is ini

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 57

As depicted in the figure, two blocks of masses m₁ and m₂ are joined by a spring having spring constant k . The block of mass m₂ is subjected to a sharp impulse such that it gains

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 58

Two blocks having masses m₁ and m₂ are connected by a spring with spring constant k . A sharp impulse is administered to the block of mass m₂ , causing it to gain a velocity v₀ tow

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 59

Placed on a smooth horizontal surface, two blocks of masses m₁ and m₂ are joined by a spring having a spring constant k . A constant force F₁ pulls the block of mass m₁ , while the

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 60

Two blocks having masses m₁ and m₂ are connected by a spring of spring constant k and placed on a smooth horizontal surface. Each block is pulled by a constant force F in opposite

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 61

In a gravity-free hall, an experimenter of mass 50 kg is resting on a 5 kg pillow at a height of 8 ft above the floor. The experimenter pushes the pillow downwards such that it beg

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 62

As illustrated in the figure, the track is frictionless. Block B of mass 2m is situated at rest, while block A of mass m is propelled along the track with some initial speed. The c

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 63

A bullet of mass 10 g travelling horizontally with a speed of 50 7 m/s strikes a 490 g block placed on a frictionless track, as shown in the figure. The bullet becomes embedded in

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 64

Two balls possessing masses m and 2m are tied to two light strings of equal length l , as shown in the figure. The other ends of the strings are anchored at a common point O . Both

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 65

Two balls having masses m and 2m are affixed to two light strings of identical length l . The upper ends of the strings are fixed at point O . The system is released from rest whil

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 66

A uniform chain of mass M and length L is suspended vertically such that its lower end just touches a horizontal floor. The chain is then released from rest. Any portion of the cha

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 67

The blocks shown in the figure possess equal masses. The contact surface of block A with the floor is smooth, while that of block B has a friction coefficient of 0.10 with the floo

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 68

Two blocks possess equal masses. The contact surface of block A with the floor is smooth, while that of block B has a friction coefficient of 0.10 with the floor. Block A travels a

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 69

As shown in the figure, the coefficient of friction between the horizontal surface and each of the blocks is 0.20 . Given that the collision between the blocks is perfectly elastic

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 70

A block of mass m is positioned on a triangular block of mass M , which in turn rests on a horizontal surface as shown in the figure. Assuming all surfaces are frictionless, determ

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 71

As shown in the figure, a small body of mass m is placed over a larger mass M whose surface is horizontal near the small body and gradually curves to become vertical. The small bod

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 72

A small body of mass m is placed over a larger mass M whose surface is horizontal near the small body and gradually curves to become vertical. The small body is pushed on the large

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 73

A small body of mass m is placed over a larger mass M whose surface is horizontal near the small body and gradually curves to become vertical. The small body is pushed on the large

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 74

A small body of mass m is placed over a larger mass M whose surface is horizontal near the small body and gradually curves to become vertical. The small body is pushed on the large

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 75

A small block of superdense material has a mass of 3 10²⁴ kg . It is situated at a height h (much smaller than the earth's radius) from where it falls towards the earth's surface.

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 76

A body of mass m undergoes an elastic collision with another identical body initially at rest. If the collision is not head-on, at what angle do the bodies travel relative to each

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 77

A small particle travelling with a velocity v undergoes an elastic collision with a spherical body of equal mass and radius r initially kept at rest. As shown in the figure, the ce

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 78

Internal forces within a system can alter

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 79

Evaluate the following two statements concerning a system of particles: (A) The linear momentum of the system is zero. (B) The kinetic energy of the system is zero.

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 80

Evaluate the following two statements: (A) The linear momentum of the system is constant. (B) The centre of mass of the system is at rest.

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 81

Examine the following two equations: (A) R = 1 M _ i m_i r _i (B) a _ CM = F M In a noninertial reference frame,

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 82

Imagine a system composed of two identical particles. One particle is stationary while the other possesses an acceleration a . The acceleration of the centre of mass is

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 83

Suppose every particle of a body is positioned at a distance R from the origin. The distance of the body's centre of mass from the origin is

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 84

A body initially at rest fragments into two pieces of identical mass. The parts will move

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 85

A uniform sphere is situated on a smooth horizontal surface, and a horizontal force F is exerted on it at a distance h above the surface. The acceleration of the centre

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 86

A ball placed inside a closed box travels around, making collisions with the walls. The box is situated on a smooth surface. The velocity of the centre of mass

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 87

During a collision, the quantities that remain constant are

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 88

A cannon fires a shell with a velocity V at an angle relative to the horizontal direction. Upon reaching the highest point of its trajectory, the shell explodes into two pieces of

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 89

During an elastic collision,

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 90

During an inelastic collision,

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 91

A circular plate of diameter d is placed in contact with a square plate of edge d , as shown in the figure. The density of the material and the thickness are uniform throughout. Th

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 92

Examine the two statements below: Statement I: The linear momentum of a particle does not depend on the frame of reference. Statement II: The kinetic energy of a particle does not

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 93

A bullet strikes a block initially at rest on a smooth horizontal surface and becomes embedded within it. Which of the following quantities remains unchanged?

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 94

A heavy ring of mass m is secured on the periphery of a light circular disc. A small particle of equal mass is secured at the centre of the disc. The system is revolved such that t

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 95

A nucleus travelling with a velocity v emits an -particle. Let the velocities of the -particle and the residual nucleus be v ₁ and v ₂ , and let their masses be m₁ and m₂ , respect

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 96

While falling vertically downwards under gravity, a body breaks into two parts of unequal masses. The centre of mass of the two parts taken together shifts horizontally towards the

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 97

For which of the following situations is the centre of mass of a rod definitively not located at its geometric centre?

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 98

A system of particles has its centre of mass at the origin. It follows that

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 99

If a system is subjected to a zero resultant external force, its centre of mass

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 100

A system of particles experiences a nonzero external force. At an instant t , the velocity and the acceleration of its centre of mass are observed to be v₀ and a₀ , respectively. W

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 101

A block travelling in the air breaks into two parts, and these parts separate. Which of the following must be true for the system?

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 102

If two balls are tossed simultaneously into the air, the acceleration of their centre of mass while in flight

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 103

During an elastic collision,

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 104

A ball strikes a floor and rebounds following an inelastic collision. In this situation,

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 105

The centre of mass of a body is located at the origin. The x -coordinates of the particles

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 106

A body travelling towards a stationary finite body collides with it. Which of the following outcomes are possible?

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 107

Consider a head-on elastic collision between two bodies possessing identical masses. In this situation:

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 108

If two balls are tossed simultaneously into the air, the acceleration of their centre of mass while in flight

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 109

The centre of mass of a body is located at the origin. The x -coordinates of the particles

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 110

For which of the following situations is the centre of mass of a rod definitively not located at its geometric centre?

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 111

A system of particles has its centre of mass at the origin. It follows that

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 112

A block travelling in the air breaks into two parts, and these parts separate. Which of the following must be true for the system?

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 113

A ball strikes a floor and rebounds following an inelastic collision. In this situation,

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 114

Consider a head-on elastic collision between two bodies possessing identical masses. In this situation:

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 115

If a system is subjected to a zero resultant external force, its centre of mass

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 116

During an elastic collision,

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 117

A body travelling towards a stationary finite body collides with it. Which of the following outcomes are possible?

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 118

A system of particles experiences a nonzero external force. At an instant t , the velocity and the acceleration of its centre of mass are observed to be v₀ and a₀ , respectively. W

Concepts Of Physics MCQ Edition [Volume 1] Solution View →
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