Q 11-09-161JEE MainJEE Main 2025 (3 Apr, Shift 2)Easy
The excess pressure inside a soap bubble A in air is half the excess pressure inside another soap bubble B in air. If the volume of the bubble A is $n$ times the volume of the bubble B, then the value of $n$ is ______.
Numerical value type. Enter your answer.
Answer: 8
For a soap bubble $\Delta P = \dfrac{4T}{R}$, so $R \propto \dfrac{1}{\Delta P}$:
$$\frac{R_A}{R_B} = \frac{\Delta P_B}{\Delta P_A} = 2 \Rightarrow \frac{V_A}{V_B} = 2^3 = 8$$
Solution by Sreeraj P, M.Sc Physics