Two bodies of masses ${m_1}\,\,{\rm{ and }}\,\,{m_2}$ have same kinetic energy. The ratio of their momentum is

$\sqrt {\frac{{{m_2}}}{{{m_1}}}} $

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JEE • PHYSICS • WORK-ENERGY-POWER

Work-energy-power practice · Easy

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Practice format and chapter quiz

These sets use single-correct-answer MCQs. They do not cover every JEE Main or JEE Advanced question format and are not full-length mock papers.

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1 Easy

1 of 30

Understanding +4 | -1

Assertion: Centripetal force does no work.

Reason: Force and displacement are perpendicular to each other.

View answer and explanation

Correct option: A

If both assertion and reason are true and reason is the correct explanation of the assertion.

Option A is correct because centripetal force does no work as it is always perpendicular to the displacement, and the reason correctly explains this.

2 Easy

2 of 30

Analyzing +4 | -1

Assertion: A cyclist leans inwards while taking a turn, while a man sitting in a car leans outwards on a curve.

Reason: Centripetal acceleration is acting towards the centre of the curve.

View answer and explanation

Correct option: A

If both assertion and reason are true and reason is the correct explanation of the assertion.

Option A (If both assertion and reason are true and reason is the correct explanation of the assertion) is correct because the leaning is a response to the centripetal acceleration required for circular motion.

3 Easy

3 of 30

Understanding +4 | -1

A body is moving with a constant speed

v

in a circle of radius

r

. Its angular acceleration is

View answer and explanation

Correct option: C

Zero

Option C (Zero) is correct because the angular acceleration is zero when the speed is constant in a circular motion.

4 Easy

4 of 30

Application +4 | -1

If ratio of centripetal acceleration of two particles moving on the same path is

3: 4

. Find the ratio of their tangential velocities.

View answer and explanation

Correct option: B

\sqrt{3}: 2

Option B (

\sqrt{3}: 2

) is correct because the ratio of tangential velocities is the square root of the ratio of centripetal accelerations.

5 Easy

5 of 30

Application +4 | -1

Sand is falling on a conveyor belt at the rate of

5\,kg\,{s^{ - 1}}

. The extra power required to move the belt with a velocity of

6\,m{s^{ - 1}}

View answer and explanation

Correct option: B

180 W

Option B (180 W) is correct because the extra power required is calculated using the formula P = Fv, where F is the force due to the falling sand and v is the velocity of the belt.

6 Easy

6 of 30

Remembering +4 | -1

Which among the following is a form of energy

View answer and explanation

Correct option: A

Light

Option A (Light) is correct because light is a form of electromagnetic radiation, which is a type of energy.

7 Easy

7 of 30

Understanding +4 | -1

In which type of collision, the momentum of system is conserved?

View answer and explanation

Correct option: D

All of these

Option D is correct because the law of conservation of momentum applies to all types of collisions, whether elastic, inelastic, or perfectly inelastic.

8 Easy

8 of 30

Application +4 | -1

If the radius of curvature of the path of two particles of same mass are in the ratio

3: 4

, then in order to have constant centripetal force, their velocities will be in the ratio of :

View answer and explanation

Correct option: C

\sqrt{3}: 2

Option C (

\sqrt{3}: 2

) is correct because for constant centripetal force, the velocity ratio is the square root of the radius ratio.

9 Easy

9 of 30

Analyzing +4 | -1

Statement-1: A body can have energy without having momentum and vice versa.
Statement-2: The body having momentum must necessarily have kinetic energy.

View answer and explanation

Correct option: D

Statement-1 is false, Statement-2 is true

Option D (Statement-1 is false, Statement-2 is true) is correct because a body can have energy without momentum, but a body with momentum must have kinetic energy.

10 Easy

10 of 30

Understanding +4 | -1

Statement I: The centripetal force and the centrifugal force never cancel out.
Statement II: They do not act at the same time.

View answer and explanation

Correct option: C

Statement I is true; Statement II is false

Option C is correct because centripetal and centrifugal forces act on different bodies, so they cannot cancel each other out, and they act at the same time.

11 Easy

11 of 30

Remembering +4 | -1

When two bodies stick after collision, the collision is known as

View answer and explanation

Correct option: D

Total inelastic

Option D (Total inelastic) is correct because in a perfectly inelastic collision, the two bodies stick together and move as one.

12 Easy

12 of 30

Analyzing +4 | -1

The two moving particles collide and clump together on a smooth horizontal surface. The following statements are given below
a) Mechanical energy is conserved
b) Total energy is conserved
c) Work done by the system is positive
d) Work done by the system is negative
Choose the correct option.

View answer and explanation

Correct option: D

(b) and (d) are correct

Option D ((b) and (d) are correct) is correct because total energy is always conserved, and in a collision where particles clump together, kinetic energy is lost, resulting in negative work done by the system.

13 Easy

13 of 30

Understanding +4 | -1

A particle moving with uniform speed in a circular path maintains:

View answer and explanation

Correct option: C

Varying velocity and varying acceleration

Option C is correct because while the speed is constant, the direction of the velocity and acceleration are constantly changing in uniform circular motion.

14 Easy

14 of 30

Application +4 | -1

The kinetic energy of a particle is 1000 joule with the mass

2 {~kg}

. Find the momentum for the particle?

View answer and explanation

Correct option: A

20\sqrt {10}

Option A (

20\sqrt {10}

) is correct because the momentum is calculated using the relationship between kinetic energy and momentum:

p = \sqrt{2mK}

15 Easy

15 of 30

Application +4 | -1

A particle moves from a point

\left( { - 3i + 5j} \right)

\left( {6j + 4k} \right)

when a force of

\left( {6i + 4j} \right)N

is applied. How much work has been done by the force

View answer and explanation

Correct option: A

22 J

Option D (

2 \mathrm{~s}

) is correct because the effective acceleration due to gravity changes when the lift accelerates upwards, affecting the time period of the pendulum.

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16 Easy

16 of 30

Analyzing +4 | -1

Assertion: Collision between two billiard's ball is inelastic
Reason: Momentum remains conserve during the collision

View answer and explanation

Correct option: B

If both Assertion and Reason are correct, but Reason is not the correct explanation of Assertion

Option B is correct because both the assertion and the reason are correct, but the reason is not the correct explanation of the assertion. Billiard ball collisions are inelastic, and momentum is conserved in all collisions in a closed system.

17 Easy

17 of 30

Application +4 | -1

A ball falls from a height of

16 {~m}

on a floor and rebounds to a height of

4 {~m}

. The coefficient of restitution for collision is :-

View answer and explanation

Correct option: B

\frac{1}{2}

Option B (

\frac{1}{2}

) is correct because the coefficient of restitution is the square root of the ratio of the rebound height to the initial height.

18 Easy

18 of 30

Application +4 | -1

Two bodies of masses

{m_1}\,\,\mathrm{ and }\,\,{m_2}

have same kinetic energy. The ratio of their momentum is

View answer and explanation

Correct option: B

\sqrt {\frac{{{m_1}}}{{{m_2}}}}

Option B (

\sqrt {\frac{{{m_1}}}{{{m_2}}}}

) is correct because the ratio of momenta is the square root of the ratio of their masses when kinetic energies are equal.

19 Easy

19 of 30

Analyzing +4 | -1

Assertion (A): In circular motion work done by all the forces acting on the body is zero.

Reason (R) : Centripetal force and velocity are mutually perpendicular.

View answer and explanation

Correct option: D

If Assertion is false but the Reason is true.

Option D (If Assertion is false but the Reason is true) is correct because work done by all forces is not always zero in circular motion, but the centripetal force and velocity are always perpendicular.

20 Easy

20 of 30

Remembering +4 | -1

The coefficient of restitution

e

for a perfectly elastic collision is

View answer and explanation

Correct option: D

Option D (1) is correct because the coefficient of restitution for a perfectly elastic collision is defined as 1.

21 Easy

21 of 30

Understanding +4 | -1

When a body moves in a circular path, no work is done by the force since,

View answer and explanation

Correct option: C

Force and displacement are perpendicular to each other

Option C (Force and displacement are perpendicular to each other) is correct because when a body moves in a circular path, the force (centripetal force) is always perpendicular to the displacement, resulting in zero work done.

22 Easy

22 of 30

Analyzing +4 | -1

When a particle is moving in a vertical circle,

View answer and explanation

Correct option: B

its radial and tangential acceleration both are varying

Option B (its radial and tangential acceleration both are varying) is correct because both the magnitude and direction of radial and tangential acceleration change continuously in a vertical circle.

23 Easy

23 of 30

Understanding +4 | -1

A boy carrying a box on his head is walking on a level road from one place to another on a straight road is doing no work. The statement is

View answer and explanation

Correct option: B

correct

Option B (correct) is correct because the work done is zero when the force (weight of the box) is perpendicular to the displacement (horizontal movement).

24 Easy

24 of 30

Understanding +4 | -1

Statement I When a machine-gun fires

n

bullets per second with kinetic energy

K

, then the power of the machine-gun is

P=n K

.

Statement II Power

=\frac{\text { Work }}{\text { Time }}=\frac{n k}{1}

View answer and explanation

Correct option: A

If both Statement I and Statement II are correct and Statement II is the correct explanation of Statement I.

Option A is correct because both statements are correct, and Statement II correctly explains Statement I by showing how power is calculated from work and time.

25 Easy

25 of 30

Understanding +4 | -1

Which of the following is true?

View answer and explanation

Correct option: C

Momentum is conserved in all collisions but not kinetic energy.

Option C is correct because momentum is always conserved in collisions due to the absence of external forces, but kinetic energy is only conserved in elastic collisions.

26 Easy

26 of 30

Application +4 | -1

\bar F = \left( {55i + 16j - 4k} \right)N

and

V = \left( {3i - 5j + 6k} \right)\,m/s

. Then instantaneous power is

View answer and explanation

Correct option: A

Option A (61) is correct because the instantaneous power is the dot product of the force and velocity vectors.

27 Easy

27 of 30

Application +4 | -1

KE of a body is increased by 44 % what is the percent increase in the momentum?

View answer and explanation

Correct option: B

0.2

Option B (20%) is correct because a 44% increase in kinetic energy corresponds to a 20% increase in momentum, as derived from the relationship between kinetic energy and momentum.

28 Easy

28 of 30

Application +4 | -1

When a spring is compressed by 3 cm, the potential energy stored in it is U. When it is compressed further by 3 cm, the increase in potential energy is

View answer and explanation

Correct option: D

3 U

Option D (3 U) is correct because the potential energy stored in a spring is proportional to the square of the compression, and the increase in potential energy is calculated accordingly.

29 Easy

29 of 30

Application +4 | -1

If the kinetic energy of a body increases by 125%, the percentage increase in its momentum is

View answer and explanation

Correct option: A

0.5

Option A (50%) is correct because the percentage increase in momentum is calculated based on the increase in kinetic energy using the relationship between KE and momentum.

30 Easy

30 of 30

Understanding +4 | -1

Assertion: In elastic collision, kinetic energy is conserved.
Reason: Energy is always conserved.

View answer and explanation

Correct option: B

If both assertion and reason are true but reason is not correct explanation of the assertion.

Option B is correct because energy conservation is a fundamental principle, but kinetic energy conservation is specific to elastic collisions.

Revision notes and key takeaways

Review WORK-ENERGY-POWER in your textbook or class notes, then use this set to check your understanding.

Key Takeaways

✓ This set contains 30 single-correct-answer MCQs on WORK-ENERGY-POWER.
✓ Try each question before opening its answer. Read the explanation where one is available.
✓ Sign in to save submitted answers. Revisit incorrect answers alongside your textbook or class notes.

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