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Two air bubbl...

Question

Two air bubbles are joined to form a double bubble. If 3cm and 4 cm are the individual radii of the two bubbles then the radius and the sense of curvature of the internal film surface common to both the bubbles is

A

12 cm concave towards 3 cm bubble

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B

7 cm concave towards 3 cm bubble

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C

\frac{1}{12}

cm convex towards 3 cm bubble

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D

\frac{24}{7}

cm convex towards 3 cm bubble

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Solution

The correct option is A 12 cm concave towards 3 cm bubble
$r = \frac{r_{1} r_{2}}{r_{1} \sim r_{2}}$

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