The earth is a homogeneous sphere of mass M and radius R. There is another spherical planet of mass M and radius R whose density changes with distance r from the centre as $\mathrm{\rho }={\mathrm{\rho }}_0\mathrm{r}$.
The ratio of acceleration due to gravity on the surface of the earth to that on the surface of the planet is $\frac{g_1}{g_2}.$Then