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MHT CET 2026 (11 Apr, Shift 2) · Excess Pressure: Drops & Bubbles

Excess Pressure: Drops & Bubbles question from MHT CET 2026 (11 Apr, Shift 2)

Q13MHT CET 2026 · 11 APR · SHIFT 2Medium

Excess Pressure: Drops & Bubbles

Due to surface tension, the excess pressure inside a smaller drop is $9$ units. If $27$ smaller drops combine then excess pressure inside the bigger drop is

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Answer: (a)

Volume conserved: $\frac{4}{3}\pi R^3 = 27 \times \frac{4}{3}\pi r^3 \Rightarrow R = 3r$ .
Excess pressure $P = \frac{2T}{r} \propto \frac{1}{r}$ , so $P' = \frac{9}{3} = 3$ units.
So the answer is (a) $3$ units.

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