MHT CET20239 May 2023Evening ShiftPhysicsThermal Properties of MatterActual
A soap bubble of radius ' R ' is blown. After heating a solution, a second bubble of radius ' 2 R ' is blown. The work required to blow the 2^ nd bubble in comparison to that required for the 1^ st bubble is
Options
- Aexactly double.
- Bslightly more than 4 times.
- Cslightly less than 4 times.
- Dslightly less than double.
Correct answer
C. slightly less than 4 times.
Step-by-step solution
aligned W ₁ & =8 R ^2 ~T ₁ ~W ₂ & =8 (2 R )^2 ~T ₂=32 R ^2 ~T ₂ W ₁ ~W ₂ & = T ₁ 4 ~T ₂ aligned When T ₁= T ₂, ~W ₂=4 ~W ₁ But as work is done, temperature increases and surface tension decreases. W ₂ < 4 ~W ₁