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

Options

A. `(L^2)/(mr)`
B. `(L^2m)/(r)`
C. `(L^2)/(m^2r^2)`
D. `(L^2)/(mr^3)`

Answer

D

Explanation

Centripetal force , F `=(mv^2)/(r)=(m)/(r).(L^2)/(m^2r^2)=(L^2)/(mr^3)`
`[as L =mvrthereforev=(L)/(mr)]`