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Q.

If n drops of mercury, each charged to a potential V, coalesce to form a single drop, the potential of the big drop will be

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a

Vn2/3

b

Vn1/3

c

Vn1/3

d

Vn2/3

answer is D.

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Detailed Solution

If Q is the charge on each small drop, charge on the big drop is Q′=nQ.    Now Q′=C′V′=Q=CV. Therefore                     V′V=Q′Q×CC′=nn1/3=n2/3Hence the correct choice is (4).
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