A fluid is in streamline flow across a horizontal pipe of variable area of cross section. For this which of the following statements is correct ? - Sri Chaitanya Infinity Learn Best Online Courses for NCERT Solutions, CBSE, ICSE, JEE, NEET, Olympiad and Class 6 to 12

A
The velocity is maximum at the narrowest part of the pipe and pressure is maximum at the widest part of the pipe
B
The velocity and pressure both are maximum at the narrowest part of the pipe
C
The velocity and pressure both are maximum at the widest part of the pipe
D
The velocity is minimum at the narrowest part of the pipe and pressure is minimum at the widest part of the pipe

Solution:

The pipe's widest section has the most pressure while its thinnest section has the highest velocity.

Av = constant according to the continuity equation.

As a result, velocity is highest at the pipe's narrowest point and lowest at its broadest.

Bernoulli's theorem for a horizontal pipe states that $P + \frac{1}{2} ρ v^{2} = c o n s \tan t .$
As a result, when a fluid flows through a horizontal pipe with a variable cross-sectional area, its velocity is highest and lowest at the narrowest point, and vice versa.

Solution:

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