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Electrostatics question

2019 · 10 Jan · Shift 2 · Q71
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Electrostatics question

2019 · 10 Jan · Shift 2 · Q71

JEE MainPhysicsElectrostaticsMCQ+4 / −1
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. A
    Q24πε0{{{Q_2}} \over {4\pi {\varepsilon _0}}}4πε0​Q2​​
  2. B
    Q222πε0{{{Q^2}} \over {2\sqrt 2 \pi {\varepsilon _0}}}22​πε0​Q2​
  3. C
    Q24πε0(1+13){{{Q_2}} \over {4\pi {\varepsilon _0}}}\left( {1 + {1 \over {\sqrt 3 }}} \right)4πε0​Q2​​(1+3​1​)
  4. D
    Q24πε0(1+15){{{Q_2}} \over {4\pi {\varepsilon _0}}}\left( {1 + {1 \over {\sqrt 5 }}} \right)4πε0​Q2​​(1+5​1​)
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