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KVPY2014PhysicsRotational Motion

A body moves in a circular orbit of radius R under the action of a central force. Potential due to the central force is given by V(r)= kr (k is a positive constant). period of revolution of the body is proportional to :

Options

  1. AR^ 1 / 2
  2. BR^ -1 / 2
  3. CR^ -3 / 2
  4. DR ^ -5 / 2

Correct answer

A. R^ 1 / 2

Step-by-step solution

V(r)=k rU(r)=m k r ²= k r aligned F=- d u d r =-m k = k r & T= 2 r k aligned

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