In a venturi-meter the area of the narrow neck is one-third of the broad neck. The density of the incompresible fluid flowing in the venturi-meter is ρ and the velocity of the fluid at the narrow neck is v. Find the pressure difference between the broad neck and the narrow neck.
1
\(\frac{4}{9}\rho v^2\)
2
4ρv2
3
\(\frac{4}{3}\rho v^2\)
4
None of these