Given below are two statements: 
Assertion (A): Total momentum of an isolated system of particles is conserved.
Reason (R): Total momentum of a system of particles cannot change due to interactions within the system, since these are action-reaction pairs. Therefore, in the absence of external force, momentum is conserved.
 
1. Both (A) and (R) are True and (R) is the correct explanation of (A).
2. Both (A) and (R) are True but (R) is not the correct explanation of (A).
3. (A) is True but (R) is False.
4. (A) is False but (R) is True.
Subtopic:  Linear Momentum |
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A body of mass \(1000 ~\text{kg}\) is moving horizontally with a velocity \(6 ~\text{m/s}.\) Another body of mass \(200 ~\text{kg}\) is added gently. Then what will be its new velocity?
1. \(5 ~\text{m/s}\)
2. \(4 ~\text{m/s}\)
3. \(2 ~\text{m/s}\)
4. \(3 ~\text{m/s}\)
Subtopic:  Linear Momentum |
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Four particles A, B, C, D of mass \(\text m/2, ~\text m, ~2~\text m, ~4~\text m\) have the same momentum, respectively. The particle with maximum kinetic energy is:
1. A
2. D
3. B
4. C
Subtopic:  Linear Momentum |
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Three bodies \(\mathrm{A,B}\) and \(\mathrm{C}\) have equal kinetic energies and their masses are \(\mathrm{400~g,}\) \(\mathrm{1.2~kg}\) and \(\mathrm{1.6~kg}\) respectively. The ratio of their linear momenta is:
1. \(1:\sqrt{3}:2\)
2. \(1:\sqrt{3}:\sqrt{2}\)
3. \(\sqrt{3}:\sqrt{2}:1\)
4. \(\sqrt{2}:\sqrt{3}:1\)
Subtopic:  Linear Momentum |
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When kinetic energy of a body becomes \(36\) times of its original value, the percentage increase in the momentum of the body will be :
1. \(600\%\)
2. \(500\%\)
3. \(60\%\)
4. \(6\%\)
Subtopic:  Linear Momentum |
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Momentum of a particle is increased by 50% by keeping its mass constant. Percentage increase in kinetic energy of particle is:
1. 50%
2. 125%
3. 100%
4. 200%
Subtopic:  Linear Momentum |
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A \(50 ~\text{kg}\) skater, initially at rest on a frictionless ice rink, throws a \(2~\text{kg}\) ball with a speed of \(10~\text{m/s}.\) What is the velocity of the skater immediately after throwing the ball?
 
1. \(0.4~\text{m/s}\) in the same direction as the ball.
2. \(0.4~\text{m/s}\) in the opposite direction of the ball.
3. \(2~\text{m/s}\) in the same direction as the ball.
4. \(4~\text{m/s}\) in the same direction as the ball.
Subtopic:  Linear Momentum |
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During inelastic collision between two bodies, which of the following quantities always remain conserved?

1. Total kinetic energy

2. Total mechanical energy

3. Total linear momentum

4. Speed of each body

Subtopic:  Linear Momentum |
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When a cannon shell explodes in mid-air:
(A) The momentum of the system is conserved in all cases.
(B) The momentum of the system is conserved only if the shell is moving horizontally.
(C) The kinetic energy of the system either remains constant or decreases.
(D) The kinetic energy of the system always increases.

Choose the correct option from the options given below:
1. (A), (B) and (C) only
2. (A) and (B) only
3. (A) and (D) only
4. (B), (C) and (D) only
Subtopic:  Linear Momentum |
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A particle of mass m moving with velocity u makes an elastic one-dimensional collision with a stationary particle of mass m. They are in contact for a very short time T. Their force of interaction increases from zero to F0 linearly in time T/2 and decreases linearly to zero in further time T/2. The magnitude of F0 is:

1. mu/T

2. 2mu/T

3. mu/2T

4. None of these

Subtopic:  Linear Momentum |
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