NTA Abhyas JEE Main2020PhysicsMechanical Properties of FluidsPractice
Water is being poured in a vessel at a constant rate α m 3 s - 1 . There is a small hole of the area a at the bottom of the tank. The maximum level of water in the vessel is
Options
- Ah = α 2 2 g a 2
- Bh = α 2 4 g a 2
- Ch = α 2 g a 2
- Dh = 3 α 2 g a 2
Correct answer
A. h = α 2 2 g a 2
Step-by-step solution
Level of water in the vessel will be maximum when r a t e o f i n f l o w o f w a t e r = r a t e o f o u t f l o w o f w a t e r . or α = a v or α = a 2 g h or h = α 2 2 g a 2