A particle of mass \( \mathrm{m} \) is describing a circular path of radius \( \mathrm{r} \) wit...

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A particle of mass \( \mathrm{m} \) is describing a circular path of radius \( \mathrm{r} \) with uniform speed. If \( \mathrm{L} \) is the angular momentum of the particle (about the axis of the circle), then the kinetic energy of the particle is
(1) \( \frac{\mathrm{L}^{2}}{\mathrm{mr}^{2}} \)
(2) \( \mathrm{mr}^{2} \mathrm{~L} \)
(3) \( \frac{L^{2}}{2 m^{2}} \)
(4) \( \frac{\mathrm{L}^{2} \mathrm{r}^{2}}{\mathrm{~m}} \)
\( \mathrm{P} \)
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