The plates \( \mathrm{S} \) and \( \mathrm{T} \) of an uncharged parallel plate capacitor are co...

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The plates \( \mathrm{S} \) and \( \mathrm{T} \) of an uncharged parallel plate capacitor are connected across a battery. The battery is then disconnected and the charged plates are now connected in a system as shown in the figure. The
\( P \) system shown is in equilibrium. All the strings are insulating and massless. The magnitude of charge on one of the capacitor plates is: [Area of plates \( =\mathrm{A} \) ]
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(A) \( \sqrt{2 \mathrm{mgA} \in_{0}} \)
(B) \( \sqrt{\frac{4 \mathrm{mgA} \in_{0}}{\mathrm{k}}} \)
(C) \( \sqrt{\mathrm{mgA} \epsilon_{0}} \)
(D) \( \sqrt{\frac{2 \mathrm{mgA} \epsilon_{0}}{\mathrm{k}}} \)
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