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Bernoulli's Principle

An ideal liqu...

Question

An ideal liquid is streamline motion flows through a frictionless duct with varying cross-section as shown in figure.

Pressure P at points along the x axis of duct is most likely to be represented by :

A

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B

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C

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D

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Solution

The correct option is A

From equation

v ∝ $\frac{1}{A r e a o f c r o s s s e c t i o n}$

Av= constant,

$P + \frac{1}{2} ρ v^{2}$ = constant

If velocity increses then pressure decreases

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