NTA Abhyas JEE Main2020PhysicsMechanical Properties of FluidsPractice
A storage tower supplies water, as shown in the figure. If P 0 is the atmospheric pressure h = height of water level, g = acceleration due to gravity, ρ = density and v = velocity of flow in the horizontal pipe at B , then the pressure at B is -
Options
- AP 0
- BP 0 + ρ g h
- CP 0 + ρ g h + 1 2 ρ v 2
- DP 0 + ρ g h   – 1 2 ρ v 2
Correct answer
D. P 0 + ρ g h   – 1 2 ρ v 2
Step-by-step solution
Consider the streamline connecting A and B. Then P A + ρ g y A + 1 2 ρ v A 2 = P B + ρ g y B + 1 2 ρ v B 2 Since P A = P 0 , y A = h , y B = 0 , V B = v and V A is negligible (in fact V A = d 2 v and v A is negligible) in fact V A = d 2 v B D 2 , d < < D , V A is negilgible ∴ P B = P 0 + ρ g h - 1 2 ρ v 2