First slide

Surface tension

Question

The excess of pressure inside the first soap bubble is three times that inside the second bubble. The ratio of volume of the first to second bubble is

Moderate

A

1 :3
B

1:9
C

1:27
D

3:1

Solution

$p \propto (1 / r) Here p_{1} / p_{2} = 3 = (\frac{r_{2}}{r_{1}}) \frac{V_{1}}{V_{2}} = {(\frac{r_{1}}{r_{2}})}^{3} = {(\frac{r_{1}}{3 r_{1}})}^{3} = \frac{1}{27} V_{1} : V_{2} = 1 : 27$

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