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Mechanical Properties of Fluids

Continuity equation

The cross sectional area of a horizontal tube increases along

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Solving time: 3 mins

The cross sectional area of a horizontal tube increases along its length linearly, as we move in the direction of flow. The variation of pressure, as we move along its length in the direction of flow (x-direction), is best depicted by which of the following graphs.

Name: Video solution 1: The cross sectional area of a horizontal tube increases along its length linearly, as we move in the direction of flow. The variation of pressure, as we move along its length in the direction of flow (x-direction), is best depicted by which of the following graphs.
Uploaded: 2023-03-14T15:27:05.000Z
Duration: 6 min
Description: Video solution 1: The cross sectional area of a horizontal tube increases along its length linearly, as we move in the direction of flow. The variation of pressure, as we move along its length in the direction of flow (x-direction), is best depicted by which of the following graphs.

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Updated on: Mar 14, 2023

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Samuel Discussed

The cross sectional area of a horizontal tube increases along its length linearly, as we move in the direction of flow. The variation of pressure, as we move along its length in the direction of flow (x-direction), is best depicted by which of the following graphs.

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Text solutionVerified

Continuity equation states that the product of area of cross section and velocity remains constant
The graph of area v/s

x

will be a straight line with positive slope
Accordingly the area of velocity v/s

x

will be a hyperbola
Pressure and velocity are related by Bernoulli's equation as

P + \frac{ρ V ^{2}}{2} = co n s t an t

The graph for Velocity squared v/s

x

is a second degree hyperbola; visually, it's just like a hyperbola curve
Now, the graph for a constant v/s

x

is a horizontal straight line, thus the curve for pressure will be mirror image of the hyperbola curve about the horizontal straight line

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Question Text	The cross sectional area of a horizontal tube increases along its length linearly, as we move in the direction of flow. The variation of pressure, as we move along its length in the direction of flow (x-direction), is best depicted by which of the following graphs.
Updated On	Mar 14, 2023
Topic	Mechanical Properties of Fluids
Subject	Physics
Class	Class 11
Answer Type	Text solution:1 Video solution: 1
Upvotes	230
Avg. Video Duration	6 min

The cross sectional area of a horizontal tube increases along its length linearly, as we move in the direction of flow. The variation of pressure, as we move along its length in the direction of flow (x-direction), is best depicted by which of the following graphs.

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The cross sectional area of a horizontal tube increases along its length linearly, as we move in the direction of flow. The variation of pressure, as we move along its length in the direction of flow (x-direction), is best depicted by which of the following graphs.

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