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**1. Homework Statement**

A tank containing water with a small nozzle at the bottom right where the water flows out.

**2. Homework Equations**

Bernoulli's equation:

[itex]p_1+\frac{1}{2}\rho v^2_1+\rho g h_1=p_2+\frac{1}{2}\rho v^2_2+\rho g h_2[/itex]

**3. Assumptions**

(1) Quasi-steady flow

(2) Incompressible flow

(3) Neglect friction

(4) Flow along a streamline

(5) ##p_1=p_2##

**4. The attempt at a solution**

Can somebody explain to my why assumption (5) is acceptable? My intuition tells me that the lower you dive into water the more does the pressure rise.

How can my textbook make this assumption for Bernoulli's equation?