A conducting body 1 has some initial charge \( \mathrm{Q} \), and its capacitance is \( \mathrm{...

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A conducting body 1 has some initial charge \( \mathrm{Q} \), and its capacitance is \( \mathrm{C} \). There are two other conducting bodies, 2 and 3, having capacitances : \( \mathrm{C}_{2}=2 \mathrm{C} \) and \( \mathrm{C}_{3} \rightarrow \infty \). Bodies 2 and 3 are initially uncharged.
\( \mathrm{P} \) Body 2 is touched with body 1 . Then, body 2 is removed from body 1 and touched with body 3 , and then removed. This process is repeated \( \mathrm{N} \) times. Then, the charge on body 1 at the end must be
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(A) \( \mathrm{Q} / 3^{\mathrm{N}} \)
(B) \( \mathrm{Q} / 3^{\mathrm{N}-1} \)
(C) \( \mathrm{Q} / \mathrm{N}^{3} \)
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