Radius of the earth is R and the mean density is `rho`. Find out the gravitational potential at the earth's surface

Options

A. `-4/3 pi G rho R^(2)`
B. `-2pi G rho R^(2)`
C. `-1/3 pi G rho R^(2)`
D. `-2/3 pi G rho R^(2)`

Answer

A

Explanation

`V=-(Gm)/R=-(G rho 4/3 pi R^(3))/R=4/3 pi G rho R^(2)`