First slide

Surface tension

Question

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

Moderate

A

3
B

1 /3
C

1/9
D

1 /27

Solution

given that
$P_{1} = 3 P_{2} \frac{T}{4 r_{1}} = \frac{3 T}{4 r_{2}} or r_{2} = 3 r_{1} or r_{2}^{3} = 27 r_{1}^{3} thus V_{2} = 27 V_{1} or \frac{V_{1}}{V_{2}} = \frac{1}{27}$

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