A liquid flows through a non-unilorm pipe. The pressuro in the pipe will bo (a) higher where the cross-section is smaller (b) lower where the cross-section is smaller (c) higher where velocity of the liquid is smaller (d) the same throughout the pipe

   A liquid flows through a non-unilorm pipe. The pressuro in the pipe will bo
(a) higher where the cross-section is smaller
(b) lower where the cross-section is smaller
(c) higher where velocity of the liquid is smaller
(d) the same throughout the pipe

Practice Problem in Physics for the JEE Main and Advanced

Abhay Kumar 2015 Edition

Chapter 9, Problem 108

Instant Answer

Solved by Expert Narayan Hari

01/15/2022

Step 1

The principle of continuity states that the product of the cross-sectional area of the pipe and the velocity of the fluid remains constant. Mathematically, it can be represented as: \[A_1V_1 = A_2V_2\] where \(A_1\) and \(A_2\) are the cross-sectional areas at two Show more…

Show all steps

Thanks for your feedback!

A liquid flows through a non-unilorm pipe. The pressuro in the pipe will bo (a) higher where the cross-section is smaller (b) lower where the cross-section is smaller (c) higher where velocity of the liquid is smaller (d) the same throughout the pipe

Play audio

Feedback

Narayan Hari and 78 other subject Physics 101 Mechanics educators are ready to help you.

Ask a new question

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Bernoulli’s Principle

A fundamental principle in fluid dynamics stating that along a streamline in steady, incompressible flow, the sum of the pressure energy, kinetic energy per unit volume, and potential energy per unit volume remains constant. This explains why an increase in fluid velocity (often occurring in regions of smaller cross-sectional area) corresponds to a decrease in pressure, highlighting the inverse relationship between pressure and velocity.

Continuity Equation

Based on the conservation of mass for incompressible fluids, this principle holds that the product of a fluid's cross-sectional area and its velocity remains constant along a streamline. This means that when a fluid flows through a narrower portion of a pipe, its velocity must increase, which, in conjunction with Bernoulli’s principle, leads to a decrease in pressure.

Please give Ace some feedback