First slide

Surface tension

Question

If two soap bubbles of radius r₁ and r₂ (> r1 ) are in contact, the radius of their common interface is:

Moderate

A

$r_{1} + r_{2}$
B

${(r_{1} + r_{2})}^{2}$
C

$r_{1} r_{2} / (r_{2} - r_{1})$
D

$\sqrt{r_{1} r_{2}}$

Solution

$\frac{4 T}{r} = \frac{4 T}{r_{1}} - \frac{4 T}{r_{2}} r i s t h e r a d i u s o f t h e i n t e r f a c e r = \frac{r_{1} r_{2}}{r_{2} - r_{1}} i f r_{2} > r_{1}$

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