WBJEE · Physics · Mechanical Properties of Fluids
Two soap bubbles of radii \(r\) and \(2 r\) are arrangement shown in the diagram. The valve is now opened. Then which one of the following will result.
- A The radii of the bubbles will remain unchanged
- B The bubbles will have equal radii
- C The radius of the smaller bubble will decrease and that of the bigger bubble will decrease
- D The radius of the smaller bubble will decrease and that of the bigger bubble will increase
Answer & Solution
Correct Answer
(D) The radius of the smaller bubble will decrease and that of the bigger bubble will increase
Step-by-step Solution
Detailed explanation
Pressure difference \(=\frac{4 T}{r}\) For smaller soap. \(\mathrm{p_{atm}}-\mathrm{p}_{i1}=\frac{4 \mathrm{T}}{\mathrm{r}}\) For bigger soap, \(\mathrm{p_{atm}}-\mathrm{p}_{i2}=\frac{4 \mathrm{T}}{2 \mathrm{r}}\) As the pressure inside smaller bubble is greater than pressure…
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