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Plate A of a parallel air filled capacitor is connected to a spring having force constant \( \mathrm{k} \) and plate \( \mathrm{B} \) is
\( \mathrm{P} \)
fixed. If a charge \( +q \) is placed on plate \( A \) and charge \( -q \) on plate \( B \) then find out extension in spring in equilibrium. Assume area of plate is 'A'.
(1) \( \frac{\mathrm{Q}^{2}}{\mathrm{k} \in_{0} \mathrm{~A}} \)
(2) \( \frac{\mathrm{Q}^{2}}{4 \mathrm{k} \in_{0} \mathrm{~A}} \)
(3) \( \frac{\mathrm{Q}^{2}}{2 \mathrm{k} \in_{0} \mathrm{~A}} \)
(4) None of these


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