First slide

Surface tension and surface energy

Question

A spherical drop of oil of radius 1 cm is broken into 1000 droplets of equal radii. If the surface tension of oil is 50 dynes/cm, the work done is

Moderate

A

18 $π$ ergs
B

180 $π$ ergs
C

1800 $π$ ergs
D

8000 π ergs

Solution

$\begin{matrix} W = 4 {πR}^{2} T (n^{1 / 3} - 1) = 4 π \times 1 \times 50 (10^{3 / 3} - 1) \\ = 1800 π erg \end{matrix}$

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