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JEE Main 20207 JanuaryEvening Shift
Exam
JEE Main
Year
2020
Date
7 January
Shift
Evening Shift
Subject
Physics
Chapter
Mechanical Properties of Fluids

JEE Main 2020 · 7 January · Evening Shift · Physics · Mechanical Properties of Fluids

An ideal fluid flows (laminar flow) through a pipe of non-uniform...

An ideal fluid flows (laminar flow) through a pipe of non-uniform diameter. The maximum and minimum diameters of the pipes are 6.4cm6.4cm and 4.8cm4.8cm , respectively. The ratio of the minimum and the maximum velocities of fluid in this pipe is:

Options

  1. A916\dfrac{9}{16}
  2. B32\dfrac{\sqrt{3}}{2}
  3. C34\dfrac{3}{4}
  4. D81256\dfrac{81}{256}

Correct answer

A. 916\dfrac{9}{16}

Step-by-step solution

Using equation of continuity
A1V1=A2V2{A}_{1}{V}_{1} = {A}_{2}{V}_{2}
V1V2=A2A1=(4.86.4)2=916\dfrac{{V}_{1}}{{V}_{2}} = \dfrac{{A}_{2}}{{A}_{1}} = {\left(\dfrac{4.8}{6.4}\right)}^{2} = \dfrac{9}{16}
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