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)
Subtopic:  Circular Motion |
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Given below are two statements: 
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.
Subtopic:  Circular Motion |
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Given below are two statements: 
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.
Subtopic:  Circular Motion |
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Given below are two statements: 
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.
Subtopic:  Circular Motion |
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