Question 1: Palette 1/40

NEET 2026 MCQ

Bob $B$ of mass $m$ at rest is hanging vertically from the ceiling via a massless string of length 10 m , as shown in the figure. Point mass $A$ of mass $m$ travelling horizontally with speed $10 \mathrm{~ms}^{-1}$ hits bob $B$ elastically. The bob $B$ rises $h$ meter after the collision. Taking the acceleration due to gravity $g=10 \mathrm{~ms}^{-2}$ and neglecting the size of the bob, the value of $h$ is:

A

2.5

B

8

C

7

D

5

Question 2: Palette 2/40

NEET 2026 MCQ

A frictionless circular wire of unit radius is fixed on the horizontal plane. Two-point particles of unit mass start moving simultaneously from point $A\left(\theta=\frac{\pi}{2}\right)$ with identical uniform angular speeds in opposite directions, and meet again at point $B\left(\theta=-\frac{\pi}{2}\right)$. During this time, which of the following figures schematically represent the magnitude of the total linear momentum $P$ of the system, as a function of $\theta$ ?

A

B

C

D

Question 3: Palette 3/40

NEET 2025 MCQ

A ball of mass 0.5 kg is dropped from a height of 40 m . The ball hits the ground and rises to a height of 10 m . The impulse imparted to the ball during its collision with the ground is (Take $g=9.8 \mathrm{~m} / \mathrm{s}^2$ )

A

0

B

84 NS

C

21 NS

D

7 NS

Question 4: Palette 4/40

NEET 2024 MCQ

Two bodies $A$ and $B$ of same mass undergo completely inelastic one dimensional collision. The body $A$ moves with velocity $v_1$ while body $B$ is at rest before collision. The velocity of the system after collision is $v_2$. The ratio $v_1: v_2$ is

A

$1: 2$

B

$2: 1$

C

$4: 1$

D

$1: 4$

Question 5: Palette 5/40

NEET 2023 MCQ

A bullet of mass $m$ hits a block of mass $M$ elastically. The transfer of energy is the maximum, when :

A

$M=m$

B

$M=2 m$

C

$M < < m$

D

$M >> m$

Question 6: Palette 6/40

NEET 2023 MCQ

Two particles A and B initially at rest, move towards each other under mutual force of attraction. At an instance when the speed of A is v and speed of B is 3v, the speed of centre of mass is :

A

2v

B

zero

C

v

D

4v

Question 7: Palette 7/40

NEET 2023 MCQ

A $1 \mathrm{~kg}$ object strikes a wall with velocity $1 \mathrm{~m} \mathrm{~s}^{-1}$ at an angle of $60^{\circ}$ with the wall and reflects at the same angle. If it remains in contact with wall for $0.1 \mathrm{~s}$, then the force exerted on the wall is :

A

$30 \sqrt{3} \mathrm{~N}$

B

Zero

C

$10 \sqrt{3} \mathrm{~N}$

D

$20 \sqrt{3} \mathrm{~N}$

Question 8: Palette 8/40

NEET 2022 MCQ

The distance covered by a body of mass 5 g having linear momentum 0.3 kg m/s in 5 s is :

A

0.3 m

B

300 m

C

30 m

D

3 m

Question 9: Palette 9/40

NEET 2022 MCQ

Given below are two statements : One is labelled as Assertion (A) and the other is labelled as Reason (R).

Assertion (A) : When a fire cracker (rocket) explodes in mid air, its fragments fly in such a way that they continue moving in the same path, which the fire cracker would have followed, had it not exploded.

Reason (R) : Explosion of cracker (rocket) occurs due to internal force only and no external force acts for this explosion.

In the light of the above statements, choose the most appropriate answer from the option given below

A

(A) is not correct but (R) is correct

B

Both (A) and (R) are correct and (R) is the correct explanation of (A)

C

Both (A) and (R) are correct but (R) is not the correct explanation of (A)

D

(A) is correct but (R) is not correct

Question 10: Palette 10/40

NEET 2022 MCQ

A shell of mass m is at rest initially. It explodes into three fragments having mass in the ratio 2 : 2 : 1. If the fragments having equal mass fly off along mutually perpendicular directions with speed v, the speed of the third (lighter) fragment is :

A

v

B

$\sqrt2$v

C

2$\sqrt2$v

D

3$\sqrt2$v

Question 11: Palette 11/40

NEET 2022 MCQ

Two objects of mass 10 kg and 20 kg respectively are connected to the two ends of a rigid rod of length 10 m with negligible mass. The distance of the center of mass of the system from the 10 kg mass is :

A

${{10} \over 3}$ m

B

${{20} \over 3}$ m

C

10 m

D

5 m

Question 12: Palette 12/40

NEET 2021 MCQ

A ball of mass 0.15 kg is dropped from a height 10m, strikes the ground and rebounds to the same height. The magnitude of impulse imparted to the ball is (g = 10 m/s²) nearly :

A

1.4 kg m/s

B

0 kg m/s

C

4.2 kg m/s

D

2.1 kg m/s

Question 13: Palette 13/40

NEET 2020 MCQ

Two particles of mass 5 kg and 10 kg respectively are attached to the two ends of a rigid rod of length 1 m with negligible mass.
The centre of mass of the system from the 5 kg particle is nearly at a distance of :

A

50 cm

B

67 cm

C

80 cm

D

33 cm

Question 14: Palette 14/40

NEET 2019 MCQ

Body A of mass 4m moving with speed u collides with another body B of mass 2 m, at rest. The collision is head on and elastic in nature. After the collision the fraction of energy lost by the colliding body A is :

A

${5 \over 9}$

B

${4 \over 9}$

C

${8 \over 9}$

D

${1 \over 9}$

Question 15: Palette 15/40

NEET 2018 MCQ

A moving block having mass m, collides with another stationary block having mass 4m. The lighter block comes to rest after collision. When the initial velocity of the lighter block is v, then the value of coefficient of restitution (e) will be

A

0.5

B

0.25

C

0.8

D

0.4

Question 16: Palette 16/40

NEET 2017 MCQ

Which of the following statements are correct ?

(1)   Centre of mass of a body always coincides with the centre of gravity of the body.

(2)   Centre of mass of a body is the point at which the total gravitational torque on the body is zero.

(3)   A couple on a body produces both translational and rotational motion in a body

(4)   Mechanical advantage greater than one means that small effort can be used to lift a large load.

A

(1) and (2)

B

(2) and (3)

C

(3) and (4)

D

(4)

Question 17: Palette 17/40

NEET 2016 MCQ

Two identical balls A and B having velocities of 0.5 m s^$-$1 and $-$0.3 m s^$-$1 respectively collide elastically in one dimension. The velocities of B and A after the collision respectively will be :

A

$-$0.5 m s^$-$1 and 0.3 m s^$-$1

B

0.5 m s^$-$1 and $-$0.3 m s^$-$1

C

$-$0.3 m s^$-$1 and 0.5 m s^$-$1

D

0.3 m s^$-$1 and 0.5 m s^$-$1

Question 18: Palette 18/40

NEET 2016 MCQ

A bullet of mass 10 g moving horizontally with a velocity of 400 m s^$-$1 strikes a wood block of mass 2 kg which is suspended by light inextensible string of length 5 m. As a result, the centre of gravity of the block found to rise a vertical distance of 10 cm. The speed of the bullet after it emerges out horizontally from the block will be

A

100 m s^$-$1

B

80 m s^$-$1

C

120 m s^$-$1

D

160 m s^$-$1

Question 19: Palette 19/40

NEET 2016 MCQ

A rigid ball of mass m strikes a rigid wall at 60^o and gets reflected without loss of speed as shown in the figure. The value of impulse imparted by the wall on the ball will be :

A

$mV$

B

2 $mV$

C

${{mV} \over 2}$

D

${{mV} \over 3}$

Question 20: Palette 20/40

NEET 2015 MCQ

Two spherical bodies of mass M and 5M and radii R and 2R are released in free space with initial separation between their centres equal to 12R. If they attract each other due to gravitational force only, then the distance covered by the smaller body before collision is :

A

7.5R

B

1.5R

C

2.5R

D

4.5R

Question 21: Palette 21/40

NEET 2015 MCQ

Two particles of masses m₁, m₂ move with initial velocities u₁ and u₂. On collision, one of the particles get excited to higher level, after absorbing energy $\varepsilon $. If final velocities of particles be v₁ and v₂ then we must have :

A

${1 \over 2}$m₁u$_1^2$ + ${1 \over 2}$ m₂u$_2^2$ $-$ $\varepsilon $ = ${1 \over 2}$ m₁v$_1^2$ + ${1 \over 2}$m₂v$_2^2$

B

${1 \over 2}$m$_1^2$u$_1^2$ + ${1 \over 2}$m$_2^2$u$_2^2$ + $\varepsilon $ = ${1 \over 2}$m$_1^2$v$_1^2$ + ${1 \over 2}$m$_2^2$v$_2^2$

C

m$_1^2$u₁ + m$_2^2$u₂ $-$ $\varepsilon $ = m$_1^2$v₁ + m$_2^2$v₂

D

${1 \over 2}$m₁u$_1^2$ + ${1 \over 2}$m₂u$_2^2$ = ${1 \over 2}$m₁v$_1^2$ + ${1 \over 2}$m₂v$_2^2$ $-$ $\varepsilon $

Question 22: Palette 22/40

NEET 2014 MCQ

The force F acting on a particle of mass m is indicated by the force-time graph shown below. The change in momentum of the particle over the time interval from zero to 8 s is :

A

24 N s

B

20 N s

C

12 N s

D

6 N s

Question 23: Palette 23/40

NEET 2014 MCQ

A body of mass (4m) is lying in x-y plane at rest. It suddenly explodes into three pieces. Two pieces, each of mass (m) move perpendicular to each other with equal speeds (v). The total kinetic energy generated due to explosion is :

A

mv²

B

${3 \over 2}$mv²

C

2mv²

D

4mv²

Question 24: Palette 24/40

NEET 2013 MCQ

A person holding a rifle (mass of person and rifle together is 100 kg) stands on a smooth surface and fires 10 shots horizontally, in 5 s. Each bullet has a mass of 10 g with a muzzle velocity of 800 m s^$-$1. The final velocity acquired by the person and the average force exerted on the person are :

A

$-$0.08 ms^$-$1, 16 N

B

$-$0.8 ms^$-$1, 8 N

C

$-$1.6 ms^$-$1, 16 N

D

$-$1.6 ms^$-$1, 8 N

Question 25: Palette 25/40

NEET 2013 MCQ

An explosion breaks a rock into three parts in a horizontal plane. Two of them go off at right angles to each other. The first part of mass 1 kg moves with a speed of 12 m s^$-$1 and the second part of mass 2 kg moves with 8 m s^$-$1 speed. If the third part files off with 4 m s^$-$1 speed, then its mass is :

A

7 kg

B

17 kg

C

3 kg

D

5 kg

Question 26: Palette 26/40

NEET 2012 MCQ

Three masses are placed on the x-axis : 300 g at origin, 500 g at x = 40 cm and 400 g at x = 70cm. The distance of the centre of mass from the orgin is :

A

40 cm

B

45 cm

C

50 cm

D

30 cm

Question 27: Palette 27/40

NEET 2012 MCQ

Two spheres A and B of masses m₁ and m₂ respectively collide. A is at rest initially and B is moving with velocity v along x-axis. After collision B has a velocity ${v \over 2}$ in a direction perpendicular to the original direction. The mass A moves after collision in the direction :

A

same as that of B

B

opposite to that of B

C

$\theta $ = tan^$-$1 $\left( {{1 \over 2}} \right)$ to the x-axis

D

$\theta $ = tan^$-$1$\left( { - {1 \over 2}} \right)$ to the x-axis

Question 28: Palette 28/40

NEET 2012 MCQ

Two persons of masses 55 kg and 65 kg respectively, are at the opposite ends of a boat. The length of the boat is 3.0 m and weights 100 kg. The 55 kg man walks up to the 65 kg man and sits with him. If the boat is in still water the centre of mass of the system shifts by :

A

3.0 m

B

2.3 m

C

zero

D

0.75 m

Question 29: Palette 29/40

NEET 2010 MCQ

Two particles which are initially at rest, move towards each other under the action of their internal attraction. If their speeds are v and 2v at any instant, then the speed of centre of mass of the system will be :

A

2v

B

zero

C

1.5 v

D

v

Question 30: Palette 30/40

NEET 2009 MCQ

An explosion blows a rock into three parts. Two parts go off at right angles to each other. These two are, 1 kg first part moving with a velocity of 12 m s^$-$1 and 2 kg second part moving with a velocity 8 m s^$-$1. If the third part flies off with a velocity of 4 m s^$-$1, its mass would be :

A

7 kg

B

17 kg

C

3 kg

D

5 kg

Question 31: Palette 31/40

NEET 2009 MCQ

Two bodies of mass 1 kg and 3 kg have position vectors $\widehat i + 2\widehat j + \widehat k$ and $ - 3\widehat i - 2\widehat j + \widehat k$, respectively. The center of mass of this system has a position vector :

A

$ - 2\widehat i - \widehat j + \widehat k$

B

$2\widehat i - \widehat j - 2\widehat k$

C

$ - \widehat i + \widehat j + \widehat k$

D

$ - 2\widehat i + 2\widehat k$

Question 32: Palette 32/40

NEET 2008 MCQ

A shell of mass 200 gm is ejected from a gun of mass 4 kg by an explosion that generates 1.05 kJ of energy. The initial velocity of the shell is :

A

40 ms^$-$1

B

120 ms^$-$1

C

100 ms^$-$1

D

80 ms^$-$1

Question 33: Palette 33/40

NEET 2008 MCQ

A particle of mass m is projected with velocity v making an angle of 45^o with the horizontal. When the particle lands on the level ground the magnitude of the change in its momentum will be :

A

$mv\sqrt 2 $

B

zero

C

2mv

D

mv / $\sqrt 2 $

Question 34: Palette 34/40

NEET 2006 MCQ

A 0.5 kg ball moving with a speed of 12 m/s strikes a hand wall at an angle of 30^o with the wall. It is reflected with the same speed at the same angle. If the ball is in contact with the wall for 0.25 seconds, the average force acting on the wall is :

A

96 N

B

48 N

C

24 N

D

12 N

Question 35: Palette 35/40

NEET 2005 MCQ

A bomb of mass 30 kg at rest explodes into two pieces of masses 18 kg and 12 kg. The velocity of 18 kg mass is 6 m s^$-$1. The kinetic energy of the other mass is :

A

324 J

B

486 J

C

256 J

D

524 J

Question 36: Palette 36/40

NEET 2004 MCQ

Consider a system of two particles having masses m₁ and m₂. If the particle of mass m₁ is pushed towards the mass centre of particles through a distance d. by what distance would be particle of mass m₂ move so as to keep the mass centre of particles at the original position?

A

${{{m_1}} \over {{m_1} + m{}_2}}$d

B

${{{m_1}} \over {{m_2}}}$d

C

d

D

${{{m_2}} \over {{m_1}}}$d

Question 37: Palette 37/40

NEET 2003 MCQ

A stationary particle explodes into two particles of masses m₁ and m₂ which move in opposite directions with velocities v₁ and v₂. The ratio of their kinetic energies E₁/E₂ is :

A

m₂/m₁

B

m₁/m₂

C

1

D

m₁v₂/m₂v₁

Question 38: Palette 38/40

NEET 2002 MCQ

A rod of length is 3 m and its mass acting per unit length is directly proportional to distance x from one of its end then its centre of gravity from that end will be at :

A

1.5 m

B

2 m

C

2.5 m

D

3.0 m.

Question 39: Palette 39/40

NEET 2002 MCQ

If kinetic energy of a body is increased by 300% then percentage change in momentum will be :

A

100%

B

150%

C

265%

D

73.2%

Question 40: Palette 40/40

NEET 2001 MCQ

A disc is rolling, the velocity of its centre of mass is v_cm. Which one will be correct?

A

the velocity of highest point is 2 v_cm and point of contact is zero

B

the velocity of highest point is v_cm and point of contact is v_cm

C

the velocity of highest point is 2v_cm and point of contact is v_cm

D

the velocity of highest point is 2v_cm and point of contact is 2v_cm.