JEE Advanced 2018 Paper 1

The potential energy of a particle of mass m at a distance r from a fixed point O is given by V(r)=kr2∕2.
where ݇k is a positive constant of appropriate dimensions.
This particle is moving in a circular orbit of radius R about the point O.
If v is the speed of the particle and L is the magnitude of its angular momentum about O, which of the following statements is (are) true?