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

Answer

D

Explanation

L = mvr
`:. ` Centripetal force
`F = (mv^(2))/r = (L^(2))/(mr^(3))`