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

Determine the excess pressure inside a soap bubble having a radius of 4 mm . The surface tension of the soap solution is given as 0.03 N/m .

Options

  1. A7.5 N/m ^2
  2. B30 N/m ^2
  3. C15 N/m ^2
  4. D60 N/m ^2

Correct answer

B. 30 N/m ^2

Step-by-step solution

The excess pressure inside a soap bubble is given by the formula: P = 4T R where T is the surface tension and R is the radius of the bubble. Given T = 0.03 N/m and R = 4 mm = 4 10⁻³ m . Substituting the values: P = 4 0.03 4 10⁻³ P = 0.03 10⁻³ = 30 N/m ^2

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