Question

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. $3\pi R^{2}T$
• C. $4\pi R^{2}T$
• D. $2\pi R{T}^2$

Answer 1

The correct option is C

$4\pi R^{2}T$

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