Question

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

Answer 1

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