A spherical liquid drop of radius R is divided into eight equal d… - Vidyadip

MCQ

A spherical liquid drop of radius $R$ is divided into eight equal droplets. If surface tension is $T$, then the work done in this process will be

A
2$\pi {R^2}T$
B
3$\pi {R^2}T$
✓
4$\pi {R^2}T$
D
2$\pi R{T^2}$

✓

Answer

Correct option: C.

4$\pi {R^2}T$

c
(c)$W = 4\pi {R^2}T({r^{1/3}} - 1) = 4\pi {R^2}T({8^{1/3}} - 1) = 4\pi {R^2}T$

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