The radii of two planets are respectively `R_(1) and R_(2)` and their densities are respectively `rho_(1) and rho_(2)`.The ratio of the accelerations due to gravity at their surface 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_(1) : R_(2)rho_(2)`

Answer

D