JEE Adv. 2018 Particle Speed Angular Momentum Problem

The potential energy of a particle of mass m at a distance r from a fixed point O is given by V(r) = Kr^2/2, 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?


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