First slide

Surface tension and surface energy

Question

The excess pressure in a soap bubble is thrice that in other one. Then the ratio of their volume is

Moderate

A

1 : 3
B

1 : 9
C

27 : 1
D

1 : 27

Solution

$ΔP \propto \frac{1}{r} \Rightarrow \frac{r_{1}}{r_{2}} = \frac{{ΔP}_{2}}{{ΔP}_{1}} = \frac{1}{3} \Rightarrow \frac{V_{1}}{V_{2}} = {(\frac{r_{1}}{r_{2}})}^{3} = \frac{1}{27}$

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