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QJEEM20Phb703: JEE Main 2020 Physics - Class 11 JEEM20Phb703 Solution: An ideal fluid flows (laminar flow) through a pipe of…

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

Multiple Choice Options

  • A 34{3 \over 4}
  • B 916{9 \over {16}}
  • C 32{{\sqrt 3 } \over 2}
  • D 81256{{81} \over {256}}

Step-by-Step Verified Solution

Using equation of continuity

A1V1 = A2V2

⇒\Rightarrow V1V2=A2A1{{{V_1}} \over {{V_2}}} = {{{A_2}} \over {{A_1}}} = (4.86.4)2{\left( {{{4.8} \over {6.4}}} \right)^2} = 916{9 \over {16}}

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