For many planets revolving around the stationary sun in circular orbits of different radii $\left(R\right)$, the time periods $T$ were noted. Then $\frac{\log \left(R\right)v}{s\log \left(T\right)}$ curve was plotted. $\left[G=\frac{20}{3}\times {10}^{-11}\right.$ in $\mathrm{M}.\mathrm{K}.\mathrm{S}.$ system,$\left.{\pi }^2=10\right]$
Estimate the mass of the sun.

Kepler's third law states that the square of the period of revolution ($T$) of a planet around the sun, is proportional to the third power of the average distance $r$ between sun and planet i.e., $T^2=K{r}^3$ here $K$ is constant.

If the masses of sun and planet are $M$ and $m$ respectively then as per Newton's law of gravitation force of attraction between them is
$F=\frac{GMm}{r^2},$here $G$ is gravitational constant. The relation between $G$ and $K$ is described as