Question

Water is flowing through a horizontal pipe of non-uniform cross-section. In the region of narrowest part inside the pipe, the water will have ______.

पर्याय

• both the pressure and velocity minimum

• maximum pressure and minimum velocity

• both the pressure and velocity maximum

• maximum velocity and minimum pressure

Answer 1

Water is flowing through a horizontal pipe of non-uniform cross-section. In the region of narrowest part inside the pipe, the water will have maximum velocity and minimum pressure.

Explanation:

By equation of continuity

A₁V₁ = A₂V₂

Hence if area of cross-section decreases, the velocity increases.

By Bernoulli's equation

`"p"+1/2rhoV^2=  "constant"`

∴ if V increase pressure decreases.

Hence in the narrowest part, velocity is maximum and pressure is minimum.