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

Answer

D

Explanation

Centripetal force , `F=(mv^(2))/(r)=(m)/(r)(L^(2))/(m^(2)r^(2))=(L^(2))/(mr^(3))" "[ "As" L=mvr :. V=(L)/(mr)]`