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Two soap bubbles with radii r and \mathrm{\left(r_1>r_2\right)} come in contact. Their common surface has radius of curvature r.

Option: 1

\mathrm{r=\frac{r_1+r_2}{2}}


Option: 2

\mathrm{r=\frac{r_1 r_2}{r_1-r_2}}


Option: 3

\mathrm{r=\frac{r_1 r_2}{r_1+r_2}}


Option: 4

\mathrm{r=\sqrt{r_1 r_2}}


Answers (1)

best_answer

\mathrm{P_1=P_0+\frac{4 T}{r_1}}

\mathrm{\begin{aligned} & P_2=P_0+\frac{4 T}{r_2} \\ & r_2<r_1 \\ & P_2-P_1=P_{\text {excess }}=\frac{4 T}{R} \\ & 4 T\left[\frac{1}{r_2}-\frac{1}{r_1}\right]=\frac{4 T}{R} \\ & R=\frac{r_2 r_1}{r_1-r_2} \end{aligned}}

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shivangi.shekhar

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