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.
A. `(L^2)/(mr)`
B. `(L^2 m)/( r)`
C. `(L^2)/(mr^3)`
D. `(L^2)/(mr^2)`
A. `(L^2)/(mr)`
B. `(L^2 m)/( r)`
C. `(L^2)/(mr^3)`
D. `(L^2)/(mr^2)`
Correct Answer – C
( c) `L = mvr rArr v = (L)/(mr)`
`F_c = (mv^2)/(r) = (m)/(r) ((L)/(mr))^2 = (L^2)/(mr^3)`.