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MHT CET202123 Sep 2021Morning ShiftPhysicsMechanical Properties of FluidsActual

The work done in blowing a soap bubble of volume ' V ' is ' W '. The work required to blow a soap bubble of volume ' 2 ~V ' is [ T = surface tension of soap solution ]

Options

  1. A2^ 2 / 3 ~W
  2. B2W
  3. CW
  4. D2^ 1 / 2 ~W

Correct answer

A. 2^ 2 / 3 ~W

Step-by-step solution

aligned & V = 4 3 r ^3 or r = ( 3 ~V 4 )^ 1 / 3 & ~W =8 r ^2 ~T =8 ( 3 ~V 4 )^ 2 / 3 ~T & ~W V ^ 2 / 3 & W ^ W = ( 2 ~V ~V )^ 2 / 3 =2^ 2 / 3 aligned

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