Two identical thin rings, each of radius \( R \) meter are coaxially placed at distance R meter ...

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Two identical thin rings, each of radius \( R \) meter are coaxially placed at distance R meter apart. If \( Q_{1} \) and \( Q_{2} \) coulomb are respectively the charges uniformly spread on the two rings, the work done in moving a charge \( q \) from the center of one ring to that of the other is
(a) Zero
(b) \( q\left(Q_{1}-Q_{2}\right)(\sqrt{2}-1) /\left(\sqrt{2} \cdot 4 \pi \varepsilon_{0} R\right) \)
(c) \( q \sqrt{2}\left(Q_{1}+Q_{2}\right) / 4 \pi \varepsilon_{0} R \)
(d) \( q\left(Q_{1}-Q_{2}\right)(\sqrt{2}+1) /\left(\sqrt{2} \cdot 4 \pi \varepsilon_{0} R\right) \)
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