Question

The equation of continuity is (a) $a V^{-1}=$ constant. (b) $a^2 V^2=$ constant. (c) $\frac{V}{a}=$ constant. (d) $\mathrm{al}^{\prime}=$ constant.

Name: Problem 37, Chapter 11: Guide to Physics IIT JEE
Uploaded: 2021-09-30T01:46:08-08:00
Duration: 2 min 51 s
Channel: Baskar P
Description: The equation of continuity is (a) a V^-1= constant. (b) a^2 V^2= constant. (c) (V)/(a)= constant. (d) al^'= constant.

   The equation of continuity is
(a) $a V^{-1}=$ constant.
(b) $a^2 V^2=$ constant.
(c) $\frac{V}{a}=$ constant.
(d) $\mathrm{al}^{\prime}=$ constant.

Guide to Physics IIT JEE

Ravi Raj Dudeja 1st Edition

Chapter 11, Problem 37

Instant Answer

Solved by Expert Baskar P

09/30/2021

Step 1

The equation of continuity is a principle in fluid dynamics that states that the mass flow rate of a fluid must remain constant from one cross-section of a pipe to another, assuming the fluid is incompressible and there are no leaks. Mathematically, it is Show more…

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The equation of continuity is (a) $a V^{-1}=$ constant. (b) $a^2 V^2=$ constant. (c) $\frac{V}{a}=$ constant. (d) $\mathrm{al}^{\prime}=$ constant.

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Key Concepts

Conservation of Mass

In fluid dynamics, the conservation of mass principle states that mass cannot be created or destroyed in a closed system. When applied to a fluid flowing through a conduit, this principle implies that the mass flow rate (the amount of mass passing through a cross-section per unit time) must remain constant, provided there is no accumulation of mass within the system.

Continuity Equation

Derived from the conservation of mass, the continuity equation mathematically expresses that for a steady flow of an incompressible fluid, the product of the cross-sectional area of the flow and the fluid velocity is constant along any streamline. This means that if the area decreases, the velocity must increase proportionally to maintain a constant mass flow rate, and vice versa.

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