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MHT CET202122 Sep 2021Morning ShiftPhysicsMechanical Properties of FluidsActual

Let ' W₁ ' be the work done in blowing a soap bubble of radius ' r ' from soap solution at room temperature. The soap solution is now heated and second soap bubble of radius ' 2 r ' is blown from the heated soap solution. If ' W ₂ ' is the work done in forming this bubble then

Options

  1. AW ₂=2 ~W ₁
  2. BW ₂=4 ~W ₁
  3. CW ₂>4 ~W ₁
  4. DW ₂ < 4 ~W ₁

Correct answer

D. W ₂ < 4 ~W ₁

Step-by-step solution

W ₁=8 r ^2 ~T Where, T = surface tension W ₂=8 (2 r )^2 ~T ^ =32 r ^2 ~T ^ Since soap solution is heated, its surface tension decrease. aligned & T ^ < T & W ₂ < 4 ~W ₁ aligned

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