First slide

Surface tension

Question

One thousand small water drops of equal radii combine to form a bigger drop. The ratio of final surface energy to the total initial surface energy is

Moderate

A

1000 : 1
B

1 : 1000
C

10 : 1
D

1 : 10

Solution

$\begin{array}{l} R = n^{\frac{1}{3}} r \\ \frac{E_{b i g d r o p}}{E_{n d r o p s}} = \frac{4 π R^{2} T}{n \times 4 π r^{2} T} = \frac{1}{n^{\frac{1}{3}}} = 1 : 10 \end{array}$

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