Four particles A,B, C and D each of mass m are kept at the corners of a square of side L. Now the particle D is taken to infinity by an external agent keeping the other particles fixed at their respective positions . The work done by the gravitational force acting on the particle D During its movement is

Options

A. `2 (Gm^(2))/L`
B. `-2 (Gm^(2))/L`
C. `(Gm^(2))/L ((2sqrt(2)+1)/(sqrt(2)))`
D. ` - (Gm^(2))/(L) ((2sqrt(2)+1)/(sqrt(2)))`

Answer

D