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Question

# 64 water drops having equal charges combine to form one bigger drop. The capacitance of bigger drop, as compared to that of smaller drop will be :

A
4 times
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B
8 times
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C
16 times
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D
64 times
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Solution

## The correct option is C 4 timesLet R be the radius of bigger drop after combining n drops and r be the radius of small drops. 43πR3=n43πr3⇒R=n13rnow, Qbig=nQsmall,Vbig=kQbigR=knQsmalln13r=n23kQsmallr=n23VsmallQbig=CbigVbigor Cbig=QbigVbig=nQsmalln23Vsmall=n13Csmallhere, n=64,Cbig=(64)13Csmall=4Csmall

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