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^(3)`
D. `L^(2)//mr^(2)`

Answer

C

Explanation

`L=mvr or v=L//mr`
Centripetal force `(mv^(2))/(r)=(m(L//mr)^(2))/(r)=(L^(2))/(mr^(3))`