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+1 vote
in Physics by (62.8k points)

64 identical drops each of capacity 5μF combine to form a big drop. Capacity of the big drop will 

A) 4μF 

B) 25μF 

C) 20μF 

D) 164 μF

1 Answer

+3 votes
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Best answer

The correct option is C) 20μF.

We first find volume of big drop Volume of big drop = 64 x volume of small drop 

4/3 π.R3 =64 x 4/3 π.r3 

R = 4r 

Because capacitance of solid spherical body directly proportion to radius 

Hence big drop capacitance = 4 x capacitance of small 

Capacitance of big drop=20μF

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