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NEET 2015

Exam: NEET
Year: 2015
Subject: Physics
Chapter: Mechanical Properties of Fluids

NEET 2015 · Physics · Mechanical Properties of Fluids

The heart of a man pumps 5 litres of blood through the arteries per...

The heart of a man pumps

5

litres of blood through the arteries per minute at a pressure of

150mm

of mercury. If the density of mercury be

13.6 \times {10}^{3}kg{m}^{- 3}

and

g = 10m{s}^{- 2}

, then the power of heart in watt is:

Options

A $2.35$
B $3.0$
C $1.50$
D $1.70$

Correct answer

D. $1.70$

Step-by-step solution

\begin{aligned} & \text{ Pressure }=\mathrm{P}=150 \mathrm{ mm} \mathrm{Hg} \\ & \text{ Pumping rate }=\frac{\mathrm{dV}}{\mathrm{dt}}=\frac{5 \times 10^{-3}}{60} \mathrm{ m}^3 / \mathrm{s} \\ & \text{ Power\text{ of } heart }=\text{ P. } \frac{\mathrm{dV}}{\mathrm{dt}}=\rho \mathrm{gh} \times \frac{\mathrm{dV}}{\mathrm{dt}} \\ & =\left(13.6 \times 10^3\right)(10) \times(0.15) \times \frac{5 \times 10^{-3}}{60} \\ & =\frac{13.6 \times 5 \times 0.15}{6}=1.70 \mathrm{watt}\end{aligned}

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