MHT CET · Physics · Mechanical Properties of Fluids
The excess of pressure in a first soap bubble is three times that of other soap bubble. Then the ratio of the volume of first bubble to other is
- A \(1:3\)
- B \(1:9\)
- C \(27:1\)
- D \(1:27\)
Answer & Solution
Correct Answer
(D) \(1:27\)
Step-by-step Solution
Detailed explanation
\(\begin{aligned} & \quad \Delta \mathrm{P} \propto \frac{1}{\mathrm{r}} \Rightarrow \frac{\mathrm{r}_1}{\mathrm{r}_2}=\frac{\Delta \mathrm{P}_2}{\Delta \mathrm{P}_1}=\frac{1}{3} \\ & \therefore \quad \frac{\mathrm{V}_1}{\mathrm{~V}_2}=\left(\frac{\mathrm{r}_1}{\mathrm{r}_2}\right)^3=\frac{1}{27}\end{aligned}\)
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