Two planets have the same average density but their radii are `R_(1)` and `R_(2)`. If acceleration due to gravity on these planets be `g_(1)` and `g_(2)` respectively, then

Options

A. `(g_1)/(g_2)=(R_1)/(R_2)`
B. `(g_1)/(g_2)=(R_2)/(R_1)`
C. `(g_1)/(g_2)=(R_1^2)/(R_2^2)`
D. `(g_1)/(g_2)=(R_1^3)/(R_2^3)`

Answer

A

Explanation

`g=4/3pipGR,gpropRrArr(g_1)/(g_2)=(R_1)/(R_2)`