Question

Assertion (A): The work done by centripetal force is zero.
Reason (R) : The displacement of body in the direction of centripetal force is zero.

• A. Both A and R are true and R is correct explanation of A
• B. Both A and R are true and R is not correct explanation of A
• C. A is true and R is false
• D. A is false and R is true

Answer 1

The correct option is A Both A and R are true and R is correct explanation of A

The work done by centripetal force is zero because displacement is always perpendicular to the centripetal force in the circular motion. $W=F.ds$ $=0$ (for centripetal force.)
This implies that the displacement of the the particle in the direction of the centripetal force is zero.