Four equal point charges \( Q \) each are placed in the \( x y \) plane at \( (0,2),(4,2),(4,-2)...

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Four equal point charges \( Q \) each are placed in the \( x y \) 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
(a) \( \frac{Q^{2}}{2 \sqrt{2} \pi \varepsilon_{0}} \)
(b) \( \frac{Q^{2}}{4 \pi \varepsilon_{0}}\left(1+\frac{1}{\sqrt{3}}\right) \)
(c) \( \frac{Q^{2}}{4 \pi \varepsilon_{0}} \)
(d) \( \frac{Q^{2}}{4 \pi \varepsilon_{0}}\left(1+\frac{1}{\sqrt{5}}\right) \)
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