Four equal point charges $Q$ each are placed in the $xy$ plane at $( 0,2 ) , ( 4,2 ) , ( 4 , - 2 )$ and $( 0 , - 2 )$. The work required to put a fifth charge $Q$ at the origin of the coordinate system will be:\\
(1) $\frac { Q ^ { 2 } } { 4 \pi \epsilon _ { 0 } }$\\
(2) $\frac { Q ^ { 2 } } { 2 \sqrt { 2 } \pi \epsilon _ { 0 } }$\\
(3) $\frac { Q ^ { 2 } } { 4 \pi \epsilon _ { 0 } } \left( 1 + \frac { 1 } { \sqrt { 5 } } \right)$\\
(4) $\frac { Q ^ { 2 } } { 4 \pi \epsilon _ { 0 } } \left( 1 + \frac { 1 } { \sqrt { 3 } } \right)$