The potential energy of a particle of mass ? at a distance ? from a fixed point ? is given by `V(r)=kr^(2)//2`, where ? is a positive constant of appropriate dimensions. This particle is moving in a circular orbit of radius ? about the point ?. If ? is the speed of the particle and ? is the magnitude of its angular momentum about ?, which of the following statements is (are) true?

Options

A. `V=sqrt(k/(2m))R`
B. `V=sqrt(k/(m))R`
C. `L=sqrt(mk)R^2`
D. `L=sqrt((mk)/2)R^2`