First slide

Surface tension and surface energy

Question

Excess pressure of one soap bubble is four times more than the other. Then the ratio of volume of first bubble to another one is

Moderate

A

1 : 64
B

1 : 4
C

64 : 1
D

1 : 2

Solution

$Δ P = \frac{4 T}{r} \Rightarrow \frac{Δ P_{1}}{Δ P_{2}} = 4 ∴ \frac{r_{2}}{r_{1}} = 4 and \frac{V_{1}}{V_{2}} = {(\frac{r_{1}}{r_{2}})}^{3} = \frac{1}{64}$

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