Q.

There are 27 drops of a conducting fluid. Each has a radius r and they are charged to a potential V0. These are combined to form a bigger drop. Its potential will be :

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a

V0

b

3 V0

c

9 V0

d

27 V0

answer is C.

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Detailed Solution

Let charge and radius of bigger drop be Q and RThen V=kQR=k27qRwhere R=(27)1/3r=3rSo, V=27kq3r=9kqr=9V0
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There are 27 drops of a conducting fluid. Each has a radius r and they are charged to a potential V0. These are combined to form a bigger drop. Its potential will be :