Work done by the centripetal force on a body moving in a circle is zero because

Explanation

Option C is correct since the motion of the body moving in a circular path and the centripetal force act perpendicularly as shown in the following image: Option A is incorrect since the motion of the body is not in the direction of the centripetal force F as shown above Option B is incorrect since the motion of the body is not in the opposite direction to the centripetal force Option D is incorrect since these two forces cannot act together. It is because both the centripetal and centrifugal forces are the same thing, the only difference is the frame of reference from which we see them. Let's take an example : If the ball goes in a circle and we see the ball going in a circle from the ground frame we will see the ball accelerating towards the center so there must be a resultant force towards the center, that is centripetal force. Now if we change our frame of reference itself and see the entire motion in the frame of reference of the ball, then we are in an accelerating frame we have to use a pseudo force opposite to the resultant acceleration, that pseudo force is centrifugal force. Both the forces are the same, just the frame in which we are watching makes the difference.