A streamline flow of a liquid of density ' ' is passing through a horizontal pipe of cross-sectional area A₁ and A₂ at two ends. If the pressure of liquid is ' P ' at a point where flow speed is ' v ', then pressure at another point where the flow of speed becomes 3 v is

Step-by-step solution

Using Bernoulli's equation, aligned & P₁+ 1 2 v₁^2+ g h₁=P₂+ 1 2 v₂^2+ g h₂ & P₁+ 1 2 v₁^2=P₂+ 1 2 v₂^2 ext ...(given horizontal pipe) aligned Substituting the given values, aligned & P+ 1 2 v₁^2=P₂+ 1 2 (3 v)^2 & P₂=P+ ( 1 2 v^2- 9 2 v^2 )=P-4 v^2 aligned