When a body is moving in a circular motion, the work done by centripetal force will be:

CONCEPT:

• Centripetal Force: The force that makes a body to move in a circular motion is known as centripetal force.
  • The direction of this force is always towards the center.

The centripetal force acting on a body of mass 'm' revolving with radius 'r' is:

\(F = {mv^2\over r}\)

• Work done: It is the dot product of Force and Displacement.

Work Done (W) = Force (F) × Displacement (S) × cosθ 

where θ is the angle between force and displacement.​

EXPLANATION:

• When a body is moving in a circular path, at any particular time,
  • The direction centripetal force is towards centre and
  • The direction displacement will be in the direction of motion that is perpendicular to the centripetal direction.

• So the angle between centripetal force and displacement will be θ = 90.

Work Done (W) = Centripetal Force (F) × Displacement (S) × cosθ 

W = F × S × cos90°

W = 0

• So the correct answer is option 3.