Find the gravitational potential energy of a system of four particles, each of mass `m` placed at the verticles of a square of side `l`. Also obtain the gravitaitonal potential at centre of the square.

Options

A. `-sqrt(32)(GM)/L`
B. `-sqrt(64)(GM)/(L^(2))`
C. zero
D. `-sqrt(16)(GM)/L`

Answer

A

Explanation

`U=-4 (GM)/(L//sqrt(2))=-sqrt(32)(GM)/L`