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NEST2022PhysicsMechanical Properties of Fluids

A smaller soap bubble of radius r is inside a larger soap bubble of radius R . The smaller bubble bursts and the radius of the external bubble changes to Q . Assume the air inside the bubbles to be ideal gas and the process to be isothermal. If the external pressure is P , the surface tension of the soap solution is

Options

  1. AP Q 4
  2. BP(Q-R-r) 12
  3. CP (Q^2-R^2 ) 4(R+r-Q)
  4. DP (Q^3-R^3 ) 4 (R^2+r^2-Q^2 )

Correct answer

D. P (Q^3-R^3 ) 4 (R^2+r^2-Q^2 )

Step-by-step solution

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