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.,10mm2 . The narrower part has an area5mm2 . The pressure drop in the artery is 22 Pa. Density of the blood is1.06×103kgm3 . The speed of the blood in the artery is

Options:

A) 0.12ms1

B) 0.62ms1

C) 0.24ms1

D) 0.42ms1

Show Answer

Answer:

Correct Answer: A

Solution:

[a] Here,A=10mm2,a=5mm2,ρ=1.06×102kgm3

=1060kgm3,p1p2=22pa

Speed of the fluid through the wide neck is

v=2(P1P2)ρ Aa211/2

Or Aa=105=2

v=2×221060(221)=0.12ms1



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