64 identical drops each of capacity 5μF combine to form a big drop. C

1.	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» 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

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»

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