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

Answer: (C)

4$\pi R ^ { 2 } T$

Answer 2

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