JEE Mains · Physics · STD 11 - 9.2 surface tension
The excess pressure inside a soap bubble is thrice the excess pressure inside a second soap bubble. The ratio between the volume of the first and the second bubble is _______.
- A \(1: 9\)
- B \(1: 3\)
- C \(1: 81\)
- D \(1: 27\)
Answer & Solution
Correct Answer
(D) \(1: 27\)
Step-by-step Solution
Detailed explanation
\(\mathrm{P}_1-\mathrm{P}_0=\frac{4 \mathrm{~T}}{\mathrm{r}_1} \quad \mathrm{P}_2-\mathrm{P}_0=\frac{4 \mathrm{~T}}{\mathrm{r}_2}\) \(\mathrm{P}_1-\mathrm{P}_0=3\left(\mathrm{P}_2-\mathrm{P}_0\right)\) \(\frac{4 \mathrm{~T}}{\mathrm{r}_1}=3 \frac{4 \mathrm{~T}}{\mathrm{r}_2}\)…
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