A liquid column of height 0.04 cm balances excess pressure of soap bubble of certain radius. If density of liquid is 8 × 10 3 kg m -3 and surface tension of soap solution is 0.28 Nm -1 , then diameter of the soap bubble is cm . (if g =10 ms -2 )

Physics · Mechanical Properties of Matter

JEE Main 2024 — 8 April, Shift 1 — Question 53

A liquid column of height 0.04 cm balances excess pressure of soap bubble of certain radius. If density of liquid is $8 \times 10^{3} \mathrm{~kg} \mathrm{~m}^{-3}$ and surface tension of soap solution is $0.28 \mathrm{Nm}^{-1}$ , then diameter of the soap bubble is $\qquad$ cm . (if $\mathrm{g}=10 \mathrm{~ms}^{-2}$ )

Answer: 7

Numerical answer — enter this value.

Step-by-step solution

$\quad \rho g h=\frac{4 S}{R}$

$\Rightarrow \mathrm{R}=\frac{4 \times 0.28}{8 \times 10^{3} \times 10 \times 4 \times 10^{-4}}$

$\Rightarrow \frac{0.28}{8} \mathrm{~m}=\frac{28}{8} \mathrm{~cm}$

$\Rightarrow \mathrm{R}=3.5 \mathrm{~cm}$

Diameter $=7 \mathrm{~cm}$

Answer key and solution verified before publishing.

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Exam: JEE Main 2024
Paper: 8 April, Shift 1
Subject: Physics
Chapter: Mechanical Properties of Matter
Topic: Surface Tension and Surface Energy