MHT CET202124 Sep 2021Evening ShiftPhysicsMechanical Properties of FluidsActual
If the work done in blowing a soap bubble of volume ' V ' is ' W ', then the work done in blowing a soap bubble of volume ' 2 ~V ' will be
Options
- A2 ~W
- B4^ 1 / 3 ~W
- CW
- D2 ~W
Correct answer
B. 4^ 1 / 3 ~W
Step-by-step solution
If V is the volume then we have aligned & V = 4 3 r ^3 & ~V r ^3 & V ₂ ~V ₁ = ( r ₂ r ₁ )^3 & r ₂ r ₁ = ( V ₂ ~V ₁ )^ 1 / 3 =(2)^ 1 / 3 & ~W ₁=8 r ₁^2 T and W ₂=8 r ₂^2 ~T & W ₂ ~W ₁ = ( r ₂ r ₁ )^2=(2)^ 2 / 3 =(4)^ 1 / 3 & ~W ₂=(4)^ 1 / 3 ~W aligned