The Moon revolves around the Earth in an orbit of radius $R$ with a time period of revolution $T$. It also rotates about its own axis with a time period $T$. If the mass of the Moon is $M$ and its radius is $r$,the total kinetic energy of the Moon is:

  • A
    $\frac{2 M \pi^2 R^2}{T^2} + \frac{4 M r^2 \pi^2}{5 T^2}$
  • B
    $\frac{M \pi^2 R^2}{2 T^2}$
  • C
    $\frac{4 M r^2 \pi^2}{5 T^2}$
  • D
    $\frac{M \pi^2 R^2}{2 T^2} + \frac{4 M r^2 \pi^2}{5 T^2}$

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