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Question

1000 drops ofwater each of radius r and charged to a potential V coalesce together to form a big drop. The potential of big drop will be

A
10 V
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B
100 V
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C
1000V
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D
V100
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Solution

The correct option is A 100 V
Vol. of the big drop =1000 *vol. of each small drop
43πR3=1000×43πr3
R3=(10r)3
R =10r
Potential of each charged sphere for small drop, V = qc
Potential for the big drop = 1000qC
We have, C=4πϵ0R=4πϵ0×10r
Potential of the big drop
=100010.q4πϵ0r=100V

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