NTA Abhyas JEE Main2020PhysicsMechanical Properties of FluidsPractice
When a large bubble rises from the bottom of a lake to the surface, its radius doubles. If atmospheric pressure is equal to that of a column of the water height H , then the depth of the lake is (assume temperature remains constant)
Options
- AH
- B2 H
- C7 H
- D8 H
Correct answer
C. 7 H
Step-by-step solution
P 1 V 1 = P 2 V 2 ⇒ ( H + h ) ρ g × 4 3 π r 3 = H × 4 3 π ( 2 r ) 3 ⇒ H + h = 8 H ∴ h = 7 H