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

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