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JEE Advanced 2018 Paper 1 Offline
MCQ (More than One Correct Answer)
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The potential energy of a particle of mass $$m$$ at a distance $$r$$ from a fixed point $$O$$ is given by $$V\left( r \right) = k{r^2}/2,$$ 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?
A
$$v = \sqrt {{k \over {2m}}} R$$
B
$$v = \sqrt {{k \over m}} R$$
C
$$L = \sqrt {mk} {R^2}$$
D
$$L = \sqrt {{{mk} \over 2}} {R^2}$$
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