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Two soap bubbles of radii ${ }^{r_1}$ and $r_2$ equal to $4 \mathrm{~cm}$ and $5 \mathrm{~cm}$ are touching each other over a common surface $S_1 S_2$ (shown in figure). Its radius will be
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$20 \mathrm{~cm}$
$r=\frac{r_1 r_2}{r_1-r_2}=\frac{5 \times 4}{5-4}=20 \mathrm{~cm}$
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