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MHT CET202411 May 2024Morning ShiftPhysicsMechanical Properties of FluidsActual

The work done in blowing a soap bubble of radius R is W ₁ at room temperature. Now the soap solution is heated. From the heated solution another soap bubble of radius 2 R is blown and the work done is W ₂ . Then

Options

  1. AW ₂=0
  2. BW ₂=4 ~W ₁
  3. CW ₂ 4 ~W ₁
  4. DW ₂= W ₁

Correct answer

C. W ₂ 4 ~W ₁

Step-by-step solution

Work done in blowing a soap bubble, aligned & W ₁=8 R ^2 ~T ₁ & ~W ₂=8 (2 R )^2 ~T ₂=8 ( R ^2 4 ) T ^2 aligned W ₁ ~W ₂ = T ₁ 4 ~T ₂ When T ₁= T ₂, ~W ₂=4 ~W ₁ When temperature increases, surface tension decreases. W ₂ 4 ~W ₁

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