Question

What is ratio of surface energy of 1 small drop and 1 large drop, if 1000 small drops combined to form 1 large drop

• A. 100 : 1
• B. 1000 : 1
• C. 10 : 1
• D. 1 : 100

Answer 1

The correct option is D 1 : 100

Volume of liquid remain same i.e. volume of 1000 small drops will be equal to volume of one big drop
$n\frac{4}{3}\pi r^3=\frac{4}{3}\pi R^3\Rightarrow n{r}^3=R^3\Rightarrow R=10r\therefore \frac{r}{R}=\frac{1}{10}$
$\frac{\text{surface energy of one small drop}}{\text{surface energy of one big drop}}=\frac{4\pi r^{2}T}{4\pi R^{2}T}=\frac{1}{100}$