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

Determine the excess pressure inside an air bubble of radius 4 mm formed within a tank of water. The surface tension of water is given as 0.076 N/m .

Options

  1. A19 N/m ^2
  2. B152 N/m ^2
  3. C76 N/m ^2
  4. D38 N/m ^2

Correct answer

D. 38 N/m ^2

Step-by-step solution

The excess pressure inside an air bubble formed within a liquid is given by the formula: P = 2T R where T is the surface tension of the liquid and R is the radius of the bubble. Given: T = 0.076 N/m R = 4 mm = 4 10⁻³ m Substituting the values into the formula: P = 2 0.076 4 10⁻³ P = 0.152 4 10⁻³ P = 38 N/m ^2

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