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MHT CET202617 April 2026Evening ShiftPhysicsMechanical Properties of FluidsActual

Two soap bubbles, A and B, have radii in the ratio 3 : 2 . The excess pressure inside the bubble A to that of B is in the ratio

Options

  1. A2 : 3
  2. B3 : 2
  3. C1 : 5
  4. D4 : 9

Correct answer

A. 2 : 3

Step-by-step solution

The excess pressure inside a soap bubble of radius R and surface tension T is given by P = 4T R . This implies that the excess pressure is inversely proportional to the radius of the bubble, P 1 R . Given the ratio of radii of bubbles A and B is R_A : R_B = 3 : 2 . The ratio of their excess pressures is P_A P_B = R_B R_A = 2 3 . Thus, the ratio is 2 : 3 . Answer: 2 : 3

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