Water flows through a horizontal pipe at a speed ' V '. Internal diameter of the pipe is ' d '. If the water is coming out at a speed ' V₁ ' then the diameter of the nozzle is

Step-by-step solution

From equation of continuity, aligned & A ₁ ~V ₁= A ₂ ~V ₂ & Given: V ₁= V and V ₂= V ₁ & A ₁ ~V = A ₂ ~V ₁ & d ^2 4 ~V = d _ n ^2 n 4 ~V ₁ ( A = d ^2 4 ) aligned where d_n is the diameter of the nozzle. aligned & d _ n ^2= d ^2 V V ₁ & d _ n = d V V ₁ aligned