A liquid of density 750 kgm$^{-3}$ flows smoothly through a horizontal pipe that tapers in cross-sectional area from A$_1$=$1.2\times10^{-2}$m$^2$ to A$_2$=$\frac{A_1}{2}$. The pressure difference between the wide and narrow sections of the pipe is 4500 Pa. The rate of flow of liquid is __________ $\times10^{-3}$ m$^3$s$^{-1}$.

JEE Main 2022 · PhysicsNumerical answerNumerical valueMediumCalculation

JEE Main 28 June 2022, Shift 2, Physics Q58

Question 58 of 90 in this shift, Physics question 28 of 30, Section B.

A liquid of density 750 kgm

^{-3}

flows smoothly through a horizontal pipe that tapers in cross-sectional area from A

_1

1.2\times10^{-2}

^2

to A

_2

\frac{A_1}{2}

. The pressure difference between the wide and narrow sections of the pipe is 4500 Pa. The rate of flow of liquid is __________

\times10^{-3}

^3

^{-1}

Official answer

NTA final key.

Chapter: Mechanical Properties of Fluids
Topic: Fluid Dynamics
Idea tested: Venturi Meter Principles

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Question text from the official JEE Main paper published by NTA; answer from the final answer key. Chapter, topic and idea tags, difficulty and skill are Lumi’s. Lumi analyses 108 of the 174 JEE Main shifts held from 2017 to 2026.