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Concepts Of Physics MCQ Edition [Volume 1]
Exam
Concepts Of Physics MCQ Edition [Volume 1]
Subject
Physics
Chapter
Some Mechanical Properties of Matter

Concepts Of Physics MCQ Edition [Volume 1] · Physics · Some Mechanical Properties of Matter

Determine the excess pressure inside a soap bubble having a radius...

Determine the excess pressure inside a soap bubble having a radius of 4 mm4 \text{ mm}. The surface tension of the soap solution is given as 0.03 N/m0.03 \text{ N/m}.

Options

  1. A7.5 N/m27.5 \text{ N/m}^2
  2. B30 N/m230 \text{ N/m}^2
  3. C15 N/m215 \text{ N/m}^2
  4. D60 N/m260 \text{ N/m}^2

Correct answer

B. 30 N/m230 \text{ N/m}^2

Step-by-step solution

The excess pressure inside a soap bubble is given by the formula:

ΔP=4TR\Delta P = \dfrac{4T}{R}

where TT is the surface tension and RR is the radius of the bubble.

Given T=0.03 N/mT = 0.03 \text{ N/m} and R=4 mm=4×10−3 mR = 4 \text{ mm} = 4 \times 10^{-3} \text{ m}.

Substituting the values:

ΔP=4×0.034×10−3\Delta P = \dfrac{4 \times 0.03}{4 \times 10^{-3}}

ΔP=0.0310−3=30 N/m2\Delta P = \dfrac{0.03}{10^{-3}} = 30 \text{ N/m}^2
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