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

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(D) According to the equation of continuity for an incompressible fluid in streamline flow, the volume flow rate (or discharge) remains constant throu

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same at $P$ and $Q$

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(D) According to the equation of continuity for an incompressible fluid in streamline flow, the volume flow rate (or discharge) remains constant throughout the tube.This is expressed as $A_P v_P = A_Q v_Q = 	ext{constant}$, 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 liquid entering the tube per unit time must equal the amount of liquid leaving the tube per unit time.Therefore, the rate of liquid flow is the same at all cross-sections of the tube, including points $P$ and $Q$.

$A$ horizontal tube of non-uniform cross-section has radii of $0.2\,m$ and $0.1\,m$ at points $P$ and $Q$ respectively. For streamline flow of an incompressible liquid, the rate of liquid flow is:

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