The radii of two planets are respectively `R_(1)andR_(2)` and their densities are respectively `rho_(1)andrho_(2)`. The ratio of the accelerations due to gravity `(g_(1)//g_(2))` at their surfaces is:

Options

A. `g_(1):g_(2) = (rho_(1))/(R_(1)^(2)):(rho_(2))/(R_(2)^(2))`
B. `g_(1),g_(2)=R_(1)R_(2),rho_(1)rho_(2)`
C. `g_(1),g_(2)=R_(1)rho_(2):R_(2)rho_(1)`
D. `g_(1):g_(2)=R_(1)rho_():R_(2)rho_(2)`

Explanation

Using `g = 4/3 pi GR rho , (g_(1))/(g_(2)) = (R_(1)rho_(1))/(R_(2)rho_(2))`