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.
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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