Properties Of Solids And Liquids Question 259
Question: The flow of blood in a large artery of a anesthetized dog is diverted through a venturimeter. The wider part of the meter has cross-sectional area equal to that of the artery, i.e.,$ 10mm^{2} $ . The narrower part has an area$ 5mm^{2} $ . The pressure drop in the artery is 22 Pa. Density of the blood is$ 1.06\times 10^{3}kg{{m}^{-3}} $ . The speed of the blood in the artery is
Options:
A) $ 0.12m{{s}^{-1}} $
B) $ 0.62m{{s}^{-1}} $
C) $ 0.24m{{s}^{-1}} $
D) $ 0.42m{{s}^{-1}} $
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Answer:
Correct Answer: A
Solution:
[a] Here,$ A=10mm^{2},a=5mm^{2},\rho =1.06\times 10^{2}kg{{m}^{-3}} $
$ =1060kg{{m}^{-3}},p _{1}-p _{2}=22pa $
Speed of the fluid through the wide neck is
$ v $=$\sqrt{\frac{2(P _{1}-P _{2})}{\rho }} $ $ {\frac{A}{a}}^{2}-1^{-1/2} $
Or $ \frac{A}{a}=\frac{10}{5}=2 $
$ \therefore v=\sqrt{\frac{2\times 22}{1060(2^{2}-1)}}=0.12m{{s}^{-1}} $
