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The potential energy of a particle of m...

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?

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)`

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