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Olympiad workbook
Exam
Olympiad workbook
Subject
NSEP
Chapter
Mechanical Properties of Fluids

Olympiad workbook · NSEP · Mechanical Properties of Fluids

Two soap bubbles of radii a and b coalesce to form a single bubble...

Two soap bubbles of radii aa and bb coalesce to form a single bubble of radius c under isothermal conditions. If the external pressure is pAp_A, then the Surface Tension (T)(T) of the soap solution is

Options

  1. A\frac{P_A}{4} \frac{\left(c^3-a^3-b^3\right)}{\left(a^2+b^2-c^2\right)}
  2. B\frac{P_A}{2} \frac{\left(a^3+b^3-c^3\right)}{\left(c^2-a^2-b^2\right)}
  3. C\frac{P_A}{2} \frac{\left(a^2+b^2-c^2\right)}{\left(c^3-a^3-b^3\right)}
  4. D\frac{P_A}{4} \frac{\left(c^2-a^2-b^2\right)}{(a+b-c)}

Correct answer

A. \frac{P_A}{4} \frac{\left(c^3-a^3-b^3\right)}{\left(a^2+b^2-c^2\right)}

Step-by-step solution

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