A small liquid drop of radius R is divided into 27 identical liquid drops. If the surface tension is T, then the work done in the process will be:
- 4 R2T
- 8 R2T
- 18 R2T
- 3 R2T
Answer
(2) 8 R2T
Solution
Volume remains constant: 43 R3=27 43 r3 r= R3
Increase in surface area: A=27(4 r2)-4 R2
=27 4 R29-4 R2=8 R2
Work done = surface tension × increase in surface area
W=T A=8 R2T
Answer: (2)