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JEE Main202125 Jul 2021Evening ShiftPhysicsKinetic Theory of GasesActual

Two spherical soap bubbles of radii r 1 and r 2 in vacuum combine under isothermal conditions. The resulting bubble has a radius equal to:

Options

  1. Ar 1 r 2 r 1 + r 2
  2. Br 1 r 2
  3. Cr 1 2 + r 2 2
  4. Dr 1 + r 2 2

Correct answer

C. r 1 2 + r 2 2

Step-by-step solution

Number of moles is conserved. n 1 + n 2 = n 3 P 1   V 1 + P 2   V 2 = P 3   V 4   S r 1 4 3 π r 1 3 + 4   S r 2 4 3 π r 2 3 = 4   S r 3 4 3 π r 3 3 r 1 2 + r 2 2 = r 3 2 r 3 = r 1 2 + r 2 2

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