A particle of mass `m` is moving in a plane along a circular path of radius `r`. Its angular momentum about the axis of rotation is `L`. The centripetal force acting on the particle is.

Options

A. `(L^(2))/(mr)`
B. `(L^(2)m)/r`
C. `(L^(2))/(mr^(2))`
D. `(L^(2))/(mr^(2))`

Answer

D

Explanation

`L=mvrrArrv=L/(mr)`
centripetal force `F=(mv^(2))/r=(L^(2))/(mr^(3))`