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MHT CET 2023 (12 May, Shift 1) · Excess Pressure: Drops & Bubbles

Excess Pressure: Drops & Bubbles question from MHT CET 2023 (12 May, Shift 1)

Q34MHT CET 2023 · 12 MAY · SHIFT 1Medium

Excess Pressure: Drops & Bubbles

The excess pressure inside a first spherical drop of water is three times that of second spherical drop of water. Then the ratio of mass of first spherical drop to that of second spherical drop is

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Answer: (d)

$\Delta P = \frac{2T}{r} \propto \frac{1}{r}$ ; $\Delta P_1 = 3\Delta P_2 \Rightarrow r_1 = \frac{r_2}{3}$ .
$\frac{m_1}{m_2} = \left(\frac{1}{3}\right)^3 = \frac{1}{27}$
So the answer is (d) $1 : 27$ .

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