For a particle performing uniform circular motion,
| (a) | the magnitude of particle velocity (speed) remains constant. |
| (b) | particle velocity is always perpendicular to the radius vector. |
| (c) | the direction of acceleration keeps changing as the particle moves. |
| (d) | angular momentum is constant in magnitude but direction keeps changing. |
Choose the correct statement/s:
| 1. | (c), (d) | 2. | (a), (c) |
| 3. | (b), (c) | 4. | (a), (b), (c) |
| Assertion (A): | Linear momentum of a body changes even when it is moving uniformly in a circle. |
| Reason (R): | In uniform circular motion, velocity remains constant. |
| 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. |
| Assertion (A): | Two similar trains are moving along the equator at the same speed but in opposite directions. They will exert equal pressure on the rails. |
| Reason (R): | In uniform circular motion, the magnitude of acceleration remains constant but the direction continuously changes. |
| 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. |
Given below are two statements:
| Assertion (A): | When a particle moves in a circle with uniform speed, both its velocity and its acceleration change continuously. |
| Reason (R): | The centripetal acceleration in circular motion is independent of the angular velocity of the particle. |
| 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. | Both (A) and (R) are False. |
| Assertion (A): | If two particles are moving on the same circle in the same direction with different uniform angular speeds \(\omega_A \text{and } \omega_B\), then the angular velocity of B relative to A for an observer at the centre will be \(\omega_B-\omega_A\). |
| Reason (R): | In a uniform circular motion the body is constantly in equilibrium. |
| 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. | Both (A) and (R) are False. |