pFour particles \( A, B, C \) and \( D \) each of mass \( m \) are kept at the corners of a squa...

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pFour 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/pp(1) \( 2 \frac{G m^{2}}{L} \)/pp(2) \( -2 \frac{G m^{2}}{L} \)/pp(3) \( \frac{G m^{2}}{L}\left(\frac{2 \sqrt{2}+1}{\sqrt{2}}\right) \)/pp(4) \( -\frac{G m^{2}}{L}\left(\frac{2 \sqrt{2}+1}{\sqrt{2}}\right) \)/p
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