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JEE Main 2025 (3 Apr, Shift 2) · Excess Pressure: Drops & Bubbles

Excess Pressure: Drops & Bubbles question from JEE Main 2025 (3 Apr, Shift 2)

Q21JEE Main 2025 · 3 APR · SHIFT 2Medium

Excess Pressure: Drops & Bubbles

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 answer type. Work it out, then open the answer.

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Answer: 8

Excess pressure $P = \frac{4T}{r} \propto \frac{1}{r}$ .
$P_A = \frac{P_B}{2} \Rightarrow r_A = 2r_B$
$\frac{V_A}{V_B} = \left(\frac{r_A}{r_B}\right)^3 = 8$
$n = 8$

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