Four charges \( +q,-q,+q \) and \( -q \) are placed in order on the four consecutive corners of ...

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Four charges \( +q,-q,+q \) and \( -q \) are placed in order on the four consecutive corners of a square of side \( a \). The work done in interchanging the positions of any two neighbouring charges of the opposite sign is
(a) \( \frac{q^{2}}{4 \pi \varepsilon_{0} a}(-4+\sqrt{2}) \)
(b) \( \frac{q^{2}}{4 \pi \varepsilon_{0} a}(4+2 \sqrt{2}) \)
(c) \( \frac{q^{2}}{4 \pi \varepsilon_{0} a}(4-2 \sqrt{2}) \)
(d) \( \frac{q^{2}}{4 \pi \varepsilon_{0} \dot{a}}(4+\sqrt{2}) \)
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