Figure shows `4` identical masses of mass `m`, arranged on a cube as shown.
The force on any particle is

Options

A. `(3)/(2)(GM^(2))/(a^(2))`
B. `sqrt((3)/(2))(GM^(2))/(a^(2))`
C. `sqrt(6)(GM^(2))/(a^(2))`
D. none of these

Explanation

`PE=6xx(GM^(2))/(sqrt(2)a)`
`=-3sqrt(2)(GM^(2))/(a)`
`F=3xx(GM^(2))/(2a^(2))xx(sqrt(2))/(sqrt(3))=sqrt((3)/(2))(GM^(2))/(a^(2))`