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For 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 change $Q$ at the origin of the coordinate system will be
  • A$\frac{{{Q^2}}}{{4\pi {\varepsilon _0}}}\left( {1 + \frac{1}{{\sqrt 3 }}} \right)$
  • B$\frac{{{Q^2}}}{{4\pi {\varepsilon _0}}}\left( {1 + \frac{1}{{\sqrt 5 }}} \right)$
  • C$\frac{{{Q^2}}}{{2\sqrt 2 \pi {\varepsilon _0}}}$
  • D$\frac{{{Q^2}}}{{4\pi {\varepsilon _0}}}$
JEE MAIN 2019, Diffcult
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