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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?

1. The velocity is minimum at the narrowest part of the pipe and the pressure is minimum at the widest part of the pipe
2. The velocity is maximum at the narrowest part of the pipe and pressure is maximum at the widest part of the pipe
3. Velocity and pressure both are maximum at the narrowest part of the pipe
4. Velocity and pressure both are maximum at the widest part of the pipe

Correct answer: The velocity is maximum at the narrowest part of the pipe and pressure is maximum at the widest part of the pipe

Solution

According to Bernoulli's principle and the equation of continuity, the velocity of the fluid is maximum at the narrowest part of the pipe due to the reduced cross-sectional area, and the pressure is maximum at the widest part of the pipe where the velocity is lower.

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