Applying the principle of homogeneity of dimensions,determine which one is correct. Where $T$ is time period,$G$ is gravitational constant,$M$ is mass,and $r$ is the radius of the orbit.

  • A
    $T^2 = \frac{4 \pi^2 r}{GM^2}$
  • B
    $T^2 = 4 \pi^2 r^3$
  • C
    $T^2 = \frac{4 \pi^2 r^3}{GM}$
  • D
    $T^2 = \frac{4 \pi^2 r^2}{GM}$

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