A horizontal tube of non-uniform cross-sectio | vedclass

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(D) According to the principle of continuity, for a streamline flow of an incompressible, non-viscous fluid through a tube of non-uniform cross-sectio

Vedclass · Accepted Answer

Same at $M$ and $N$

Vedclass · Answer

(D) According to the principle of continuity, for a streamline flow of an incompressible, non-viscous fluid through a tube of non-uniform cross-section, the volume rate of flow (also known as the discharge rate, $Q$) remains constant at every cross-section of the tube.The equation of continuity is given by $A_1 v_1 = A_2 v_2 = 	ext{constant}$, where $A$ is the cross-sectional area and $v$ is the velocity of the fluid.Since the fluid is incompressible and the flow is steady (streamline), the amount of fluid entering any section of the tube in a given time must equal the amount of fluid leaving that section.Therefore, the rate of flow of the liquid is the same at both points $M$ and $N$.

$A$ horizontal tube of non-uniform cross-section has radii of $0.1\,m$ and $0.05\,m$ respectively at $M$ and $N$. For a streamline flow of liquid, the rate of liquid flow is:

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