A) \[\frac{{{r}_{1}}+{{r}_{2}}}{2}\]
B) \[\frac{{{r}_{1}}{{r}_{2}}}{{{r}_{1}}-{{r}_{2}}}\]
C) \[\frac{{{r}_{1}}{{r}_{2}}}{{{r}_{1}}+{{r}_{2}}}\]
D) \[\sqrt{{{r}_{1}}{{r}_{2}}}\]
Correct Answer: B
Solution :
Let \[{{P}_{0}}=\] atmospheric pressure Then, \[{{P}_{1}}-{{P}_{0}}=\frac{4s}{{{V}_{1}}}\] (for soap bubble) and \[{{P}_{2}}-{{P}_{0}}=\frac{4s}{{{V}_{2}}}\] \[\Rightarrow \] \[{{P}_{2}}-{{P}_{1}}=\frac{4s}{r}=\frac{4s}{{{r}_{2}}}-\frac{4s}{{{r}_{1}}}\] \[\Rightarrow \] Radius of common surface, \[r=\frac{{{r}_{1}}{{r}_{2}}}{{{r}_{1}}-{{r}_{2}}}\]
You need to login to perform this action.
You will be redirected in
3 sec
