The potential energy of a particle of mass ? at a distance ? from a fixed point ? is given by $V\left(r\right)=k{r}^2/2$, 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?

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