A) r
B) zero
C) infinity
D) \[\frac{1}{2r}\]
Correct Answer: C
Solution :
Let radius of curvature of the common internal film surface of the double bubble formed be r?. Then, excess of pressure as compared to atmosphere inside A is \[\frac{4T}{{{r}_{1}}}\] and B is \[\frac{4T}{{{r}_{2}}}\]. The pressure difference is \[\frac{4T}{{{r}_{1}}}-\frac{4T}{{{r}_{2}}}=\frac{4T}{r'}\Rightarrow \,\,r'=\frac{{{r}_{1}}{{r}_{2}}}{{{r}_{2}}-{{r}_{1}}}\] Given, \[{{r}_{1}}={{r}_{2}}=r\] \[\therefore \] \[r'=\frac{{{r}^{2}}}{0}=\infty \]You need to login to perform this action.
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