First slide

Surface tension and surface energy

Question

If the radius of a soap bubble is four times that of another, then the ratio of their pressures will be

Moderate

A

1 : 4
B

4 : 1
C

16 : 1
D

1 : 16

Solution

$ΔP \propto \frac{1}{r} \Rightarrow \frac{{ΔP}_{1}}{{ΔP}_{2}} = \frac{r_{2}}{r_{1}} = \frac{r}{4 r} = \frac{1}{4}$

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