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  4. Two soap bubbles of radii r1 and r2 equal to 4 cm and 5 cm respectively are touching each other over a common surface A B (shown in figure). Its radius will be

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Q. Two soap bubbles of radii $r_{1}$ and $r_{2}$ equal to $4 \,cm$ and $5 \,cm$ respectively are touching each other over a common surface $A B$ (shown in figure). Its radius will bePhysics Question Image

Mechanical Properties of Fluids

Solution:

Excess pressure $\frac{4 S}{r_{1}}-\frac{4 S}{r_{2}}=\frac{4 S}{r}$
or $\frac{1}{r}=\frac{1}{r_{1}}-\frac{1}{r_{2}}=\frac{1}{4}-\frac{1}{5}=\frac{1}{20}$
or $r=20\, cm$