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MHT CET 2024 (4 May, Shift 1) · Excess Pressure: Drops & Bubbles

Excess Pressure: Drops & Bubbles question from MHT CET 2024 (4 May, Shift 1)

Q28MHT CET 2024 · 4 MAY · SHIFT 1Medium

Excess Pressure: Drops & Bubbles

The excess pressure inside a spherical drop of water A is four times that of another drop B. Then the ratio of mass of drop $A$ to that of drop $B$ is

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Answer: (d)

$\Delta P = \frac{2T}{r} \propto \frac{1}{r}$ ; $\Delta P_A = 4\Delta P_B \Rightarrow r_A = \frac{r_B}{4}$ .
$\frac{m_A}{m_B} = \left(\frac{1}{4}\right)^3 = \frac{1}{64}$
So the answer is (d) $1 : 64$ .

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