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Q. No.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: Â Linear Momentum |
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Level 1: 80%+
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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. \(3 ~\text{m/s}\)
1. \(5 ~\text{m/s}\)
2. \(4 ~\text{m/s}\)
3. \(2 ~\text{m/s}\)
4. \(3 ~\text{m/s}\)
Subtopic: Â Linear Momentum |
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Level 1: 80%+
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Four particles \(A, B, C, D\) of mass \( m/2, m, 2m,4m\) have the same momentum, respectively. The particle with maximum kinetic energy is:
1. \(A\)
2. \(D\)
3. \(B\)
4. \(C\)
1. \(A\)
2. \(D\)
3. \(B\)
4. \(C\)
Subtopic: Â Linear Momentum |
 87%
Level 1: 80%+
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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. \(\sqrt{2}:\sqrt{3}:1\)
1. \(1:\sqrt{3}:2\)
2. \(1:\sqrt{3}:\sqrt{2}\)
3. \(\sqrt{3}:\sqrt{2}:1\)
4. \(\sqrt{2}:\sqrt{3}:1\)
Subtopic: Â Linear Momentum |
 84%
Level 1: 80%+
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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: Â Linear Momentum |
 83%
Level 1: 80%+
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