MHT CET20239 May 2023Morning ShiftPhysicsThermodynamicsActual
The radii of two soap bubbles are r₁ and r₂ . In isothermal condition they combine with each other to form a single bubble. The radius of resultant bubble is
Options
- AR = r ₁+ r ₂ 2
- BR=r₁ (r₁ r₂+r₂ )
- CR = r ₁^2+ r ₂^2
- DR = r ₁+ r ₂
Correct answer
C. R = r ₁^2+ r ₂^2
Step-by-step solution
Under isothermal condition, T is constant. This means the surface energy of the bubbles before combining will be equal to the surface energy after combining. aligned & i.e. 4 r₁^2 T+4 r₂^2 T=4 R^2 T & r₁^2+r₂^2=R^2 & R= r₁^2+r₂^2 aligned