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MHT CET 2021 (24 Sep, Shift 2) · Excess Pressure: Drops & Bubbles

Excess Pressure: Drops & Bubbles question from MHT CET 2021 (24 Sep, Shift 2)

Q47MHT CET 2021 · 24 SEP · SHIFT 2Medium

Excess Pressure: Drops & Bubbles

Pressure inside two soap bubbles are 1.01 atm and 1.03 atm. The ratio between their volumes is (Pressure outside the soap bubble is 1 atmosphere)

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Answer: (b)

Excess pressures: $\Delta P_1 = 0.01$ atm, $\Delta P_2 = 0.03$ atm.
$\Delta P \propto \frac{1}{R} \Rightarrow \frac{R_1}{R_2} = \frac{0.03}{0.01} = 3$
$\frac{V_1}{V_2} = 3^3 = 27$
So the answer is (b) $27 : 1$ .

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