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Q.
What is the ratio of surface energy of $1$ small drop and $1$ large drop if $1000$ drops combined to form $1$ large drop?
Mechanical Properties of Fluids
Solution:
As, $\frac{4}{3} \pi R^{3}=1000 \times \frac{4}{3} \pi r^{3}$
$\Rightarrow R=10 r$
Surface energy of small drop $E_{1}=S \times 4\, \pi r^{2}$
Surface energy of large drop $E_{2}=S \times 4 \,\pi(10 r)^{2}$
$\therefore E_{1} / E_{2}=1 / 100$