An ideal incompressible liquid flows steadily through a horizontal pipe. At section 1, area is 3A and pressure is P. At section 2, area is A and pressure is P-4ρv², where v is the speed at section 1. Which statement is correct?
Options

Question

An ideal incompressible liquid flows steadily through a horizontal pipe. At section 1, area is 3A and pressure is P. At section 2, area is A and pressure is P-4ρv², where v is the speed at section 1. Which statement is correct?

Options

G1 Physics · Accepted Answer

Continuity gives v₂=3v. Bernoulli at equal height gives P₁−P₂=½ρ(v₂²−v₁²)=½ρ(9−1)v²=4ρv². Thus the stated pressure drop is exactly consistent.

An ideal incompressible liquid flows steadily through a horizontal pipe. At section 1, area is 3A and pressure is P. At section 2, area is A and pressure is P−4ρv², where v is the speed at section 1. Which statement is correct?