Physics - Gravitation Question with Solution | TestHub

Kepler's third law states that square of period of revolution (T) of a planet around the sun, is proportional to third power of average distance $\mathrm{r}$ between sun and planet i.e. ${\mathrm{T}}^2={\mathrm{Kr}}^3$ here $\mathrm{K}$ is constant. If the masses of sun and planet are $\mathrm{M}$ and $\mathrm{m}$ respectively then as per Newton's law of gravitation force of attraction between them is $\mathrm{F}=\frac{\mathrm{GMm}}{{\mathrm{r}}^2}$, here $\mathrm{G}$ is gravitational constant. The relation between $\mathrm{G}$ and $\mathrm{K}$ is described as