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MHT CET 2021 (21 Sep, Shift 2) · Excess Pressure: Drops & Bubbles

Excess Pressure: Drops & Bubbles question from MHT CET 2021 (21 Sep, Shift 2)

Q43MHT CET 2021 · 21 SEP · SHIFT 2Easy

Excess Pressure: Drops & Bubbles

A big water drop is divided into 8 equal droplets. $\Delta P_s$ and $\Delta P_B$ be the excess pressure inside a smaller and bigger drop respectively. The relation between $\Delta P_s$ and $\Delta P_B$ is

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Answer: (b)

Volume conserved: $R^3 = 8r^3 \Rightarrow R = 2r$ .
$\Delta P = \frac{2T}{R} \propto \frac{1}{R}$ , so $\frac{\Delta P_B}{\Delta P_S} = \frac{r}{R} = \frac{1}{2}$ .
So the answer is (b) $\Delta P_B = \frac{1}{2}\Delta P_S$ .

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