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JIPMER 2018

Exam: JIPMER
Year: 2018
Subject: Physics
Chapter: Mechanical Properties of Fluids

JIPMER 2018 · Physics · Mechanical Properties of Fluids

At what speed will the velocity of a stream of water be equal to 20...

At what speed will the velocity of a stream of water be equal to 20 cm of mercury column? (Taking,

\mathrm{g}=10 \mathrm{~ms}^{-2}

)

Options

A $6.4 \mathrm{~ms}^{-1}$
B $7.3756 \mathrm{~ms}^{-1}$
C $6.4756 \mathrm{~ms}^{-1}$
DNone of these

Correct answer

B. $7.3756 \mathrm{~ms}^{-1}$

Step-by-step solution

Here, velocity head

=20 \mathrm{~cm}

of Hg

=20 \times 13.6 \mathrm{~cm}

of water. As, velocity head

=\frac{v^2}{2 \mathrm{~g}}

\therefore \quad 20 \times 13.6=\frac{\mathrm{v}^2}{2 \times 1000}

\begin{aligned} \mathrm{v} & =\sqrt{20 \times 13.6 \times 2 \times 1000} \\ & =737.56 \mathrm{cms}^{-1} \\ & =7.3756 \mathrm{~ms}^{-1}\end{aligned}

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