Applying the principle of homogeneity of dimensions, determine which one is correct. where $\mathrm{T}$ is time period, $\mathrm{G}$ is gravitational constant, $M$ is mass, $r$ is radius of orbit.

  • [JEE MAIN 2024]
  • A

    $\mathrm{T}^2=\frac{4 \pi^2 \mathrm{r}}{\mathrm{GM}^2}$

  • B

    $\mathrm{T}^2=4 \pi^2 \mathrm{r}^3$

  • C

     $\mathrm{T}^2=\frac{4 \pi^2 \mathrm{r}^3}{G M}$

  • D

    $\mathrm{T}^2=\frac{4 \pi^2 \mathrm{r}^2}{G M}$

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