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. `(m ^(2) L ^(2))/(r)`
B. `(L ^(2))/( r ^(2) m)`
C. `(mL)/(r)`
D. None

Explanation

Centripetal force, `F = (mv ^(2))/(r)`
`therefore F = (m)/(r) xx ((L )/( mr )) ^(2) = ( mL ^(2))/( rm ^(2) r ^(2)) = ( L ^(2))/( r ^(3) m ) (L = mvr, (L)/(mr ) = v )`