What should be the diameter of a soap bubble, in order that the excess pressure inside it is 25.6 N m⁻²? [surface tension of soap = 3.2 × 10⁻² N m⁻¹] (a) 2 cm (b) 1.5 cm (c) 1 cm (d) 0.5 cm

Answer: (c). Soap bubble: Δ P = 4T/R ⇒ R = (4T)/(Δ P). R = 4 × 3.2 × 10⁻²25.6 = 5 × 10⁻³ m = 0.5 cm Diameter = 2R = 1 cm So the answer is (c) 1 cm.

What should be the diameter of a soap bubble, in order that the… | MHT CET 2023 (11 May, Shift 2)

Q33MHT CET 2023 · 11 MAY · SHIFT 2Easy

Excess Pressure: Drops & Bubbles

What should be the diameter of a soap bubble, in order that the excess pressure inside it is $25.6\text{ N m}^{-2}$ ? [surface tension of soap $= 3.2 \times 10^{-2}\text{ N m}^{-1}]$

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Answer: (c)

Soap bubble: $\Delta P = \frac{4T}{R} \Rightarrow R = \frac{4T}{\Delta P}$ .
$R = \frac{4 \times 3.2 \times 10^{-2}}{25.6} = 5 \times 10^{-3}$ m $= 0.5$ cm
Diameter $= 2R = 1$ cm
So the answer is (c) 1 cm.

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