A soap bubble of radius $r_{1}$ is placed on another soap bubble of radius $r_{2} (r_{1} < r_{2})$ . The radius $R$ of the soapy film separating the bubbles is

r_{1} + r_{2}

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\sqrt{{r_{1}}^{2} + {r_{2}}^{2}}

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({r_{1}}^{3} + {r_{2}}^{3})

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\frac{r_{2} r_{1}}{r_{2} - r_{1}}

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Solution

The correct option is D $\frac{r_{2} r_{1}}{r_{2} - r_{1}}$

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A soap bubble of radius r1 is placed on another soap bubble of radius r2(r1<r2). The radius R of the soapy film separating the bubbles is

The correct option is D r2r1r2−r1

A soap bubble of radius $r_{1}$ is placed on another soap bubble of radius $r_{2} (r_{1} < r_{2})$ . The radius $R$ of the soapy film separating the bubbles is

The correct option is D $\frac{r_{2} r_{1}}{r_{2} - r_{1}}$