COMEDK2020PhysicsMechanical Properties of Fluids
A frame made of metallic wire enclosing a surface area A is covered with a soap film. If the area of the frame of metallic wire is reduced by 50 % , then the energy of the soap film will be changed by
Options
- A100 %
- B75 %
- C50 %
- D25 %
Correct answer
C. 50 %
Step-by-step solution
Given, initial surface area, A₁=A Final surface area, A₂=A₁-50 % of AA₂=A-50 % of A=A- A 2 = A 2 Initial surface energy, E₁=T 2 A=2 T A Final surface energy, E₂= Surface tension Surface E₂=T 2 (A₁-A₂ )=T 2 (A- A 2 ) E₂=T A Percentage change in the energy of soap film aligned &= E₁-E₂ E₁ 100 &= 2 T A-T A 2 T A 100 &=50 % aligned