During blood transfusion the needle is inserted in a vein where the gauge pressure is $2000 \;Pa$. At what height (in $m$) must the blood container be placed so that blood may just enter the vein ?
Density of whole blood, $\rho=1.06 \times 10^{3} \;kg m ^{-3}$
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Gauge pressure, $P=2000 Pa$ Density of whole blood, $\rho=1.06 \times 10^{3}\; kg m ^{-3}$
Acceleration due to gravity, $g=9.8 m / s ^{2}$ Height of the blood container $=h$ Pressure of the blood container, $P=h \rho g$ $\therefore h=\frac{P}{\rho g}$
$=\frac{2000}{1.06 \times 10^{3} \times 9.8}$
$=0.1925 m$
The blood may enter the vein if the blood container is kept at a height greater than $0.1925\; m$, i.e., about $0.2 m$
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