Four spheres each of mass \(m\) form a square of side \(d\) (as shown in figure). A fifth sphere of mass \(M\) is situated at the centre of square. The total gravitational potential energy of the system is

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(A) \(-\frac{ Gm }{ d }[(4+\sqrt{2}) m +4 \sqrt{2} M]\)

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\(-\frac{ Gm ^{2}}{ d } \times 4-\frac{ Gm ^{2}}{\sqrt{2} d } \times 2-\frac{ GMm }{ d } \times 4 \sqrt{2}\)

\(-\frac{ Gm }{ d }[(4+\sqrt{2}) m +4 \sqrt{2} M ]\)

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