Answer :
The pressure of water is greatest at point b which is larger than the diameter of the pipe at point a.
What is Bernoulli's equation?
The total mechanical energy of the moving fluid (including the gravitational potential energy of rise, the energy associated with fluid pressure, and the kinetic energy of fluid motion) remains constant. Bernoulli's theorem can be derived from the law of conservation of energy.
P₁ + [tex]\frac{1}{2}[/tex]ρ[tex]v_{1} ^{2}[/tex] + ρgh₁ = P₂ + [tex]\frac{1}{2}[/tex]ρ[tex]v_{2} ^{2}[/tex] + ρgh₂
Using continuity equation,
ρ₁v₁A₁ = ρ₂v₂A₂
P₁ = Pressure of Fluid at point a
P₂ = Pressure of Fluid at point b
ρ = Density of Fluid
v = Velocity of Fluid
g = Gravitational Constant
h = Height of Fluid
A = Area of Pipe Cross Section
Since density is same on both sides:
v₁A₁ = v₂A₂
It is given that A₁ < A₂
which indicates that P₁ < P₂
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