AIIMS 2012 Physics Question Paper for free online practice with solutions

Let R and r be the radii of bigger and each smaller drop respectively
∴

4

3

πR3=8×

4

3

πr2
⇒R=2r.....(i)
The capacitance of a smaller spherical drop is
C=4πε0r.....(ii)
The capacitance of bigger drop is
C′=4πε0R
=2×4πε0r     (∴R=2r)
=2c     [from Eq. (ii)]
C=

C′

2

=

1

2

µF     (∴C'=1µF)