1. Tardigrade
  2. Question
  3. Physics
  4. A non viscous liquid is flowing through a frictionless duct, with cross-section varying as shown in figure. <img class=img-fluid question-image alt=image src=https://cdn.tardigrade.in/img/question/physics/66c5007707092901da99115ffea579f5-.png /> Which of the following graph represents the variation of pressure p along the axis of tube?

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. A non viscous liquid is flowing through a frictionless duct, with cross-section varying as shown in figure.
image
Which of the following graph represents the variation of pressure $p$ along the axis of tube?

Mechanical Properties of Fluids

Solution:

As we know according to equation of continuity, when cross-section of duct decreases, the velocity of flow of liquid increases and in accordance with Bernoulli's theorem, in a horizontal pipe, the place where speed of liquid is maximum, the value of pressure is minimum. Hence the $2^{\text {nd }}$ graph correctly represents the variation of pressure.