The work done in blowing a soap bubble of radius R is W₁ 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 W₂ . Then

Step-by-step solution

The work done in forming a soap in forming a soap bubble of radius r is W₁=8 r^2 T₁ , where T₁ is the surface tension at room temperature and the work done to form a soap bubble of radius 2 r is W₂ W₁ = 328 r^2 T₂ 8 r^2 T₁ = 4 T₂ T₁ If T₁=T₂ , then W₂=4 W₁ But it is given that the solution is heated. As the temperature is increased, the surface tension of the soap solution is decreases T₂