Physics Electrostatics Potential & Capacitance Sharing of Charge and Capacitor Circuits MCQ (Single Correct)

64 small drops of water having same charge and same radius are combined to form one big drop. The ratio of capacitance of big drop to small drop is:

A
B
C
D

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Text Solution

Verified by Experts
The correct answer is:
C

Let the radius of each small drop is r and the radius of big drop is R.
So, the volume of 64 small drops the volume of big drop

i.e. … (i)

Now, the capacitance of small drop

… (ii)

and the capacitance of big drop is

… (iii)

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