A spherical planet far out in space has a mass `M_(0)` and diameter `D_(0)`. A particle of mass m falling freely near the surface of this planet will experience an accelertion due to gravity which is equal to

Options

A. `4GM_P//D_P^2`
B. `GM_Pm//D_P^2`
C. `GM_P//D_P^2`
D. `4GM_Pm//D_P^2`

Answer

A

Explanation

`g=(GM_P)/((D_P)/2)^2)=(4GM_P)/(D_p^2)`