The flow of blood in a large artery of a anesthetized dog is diverted through a ventruimeter. The wider part of the meter has a cross-sectional area equal to that of the artery, i.e., 10 mm2. The narrower part has an area 5 mm2. The pressure drop in the artery is 22 pa. Density of the blood is 1.06 × 103 kg m-3. The speed of the blood in the artery is
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a
0.12 m s-1
b
0.62 m s-1
c
0.24 m s-1
d
0.42 m s-1
answer is A.
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Detailed Solution
Here, A = 10 mm2, a = 5 mm2, ρ = 1.06×102 kg m-3 = 1060 kg m-3, P1-P2 = 22 PaSpeed of the fluid through the wide neck isv = 2(P1-P2)ρ{(Aa)2-1}-12or Aa = 105 = 2v = 2×221060(22-1) = 0.12 ms-1