| 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. |
| 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. |
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
| (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. |
| 1. | (A), (B) and (C) only |
| 2. | (A) and (B) only |
| 3. | (A) and (D) only |
| 4. | (B), (C) and (D) only |
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