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. |
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. |