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GATE 2020 BM – Question 64

Sensors and Bioinstrumentation · Physiological Measurements · 2 marks · Numerical answer

A C-clamp magnetic arterial-flow probe records 3.75 nV between diametrically opposite vessel points. Inner diameter is 0.5 cm and magnetic flux density 1.5×10⁻⁵ Wb/m². Find volumetric blood flow in cm³/s to two decimals.

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Correct answer: 0.95 to 0.99

Explanation

For uniform flow perpendicular to the field, induced voltage is V=BDv. Thus v=3.75×10⁻⁹/(1.5×10⁻⁵×.005)=.05 m/s. Cross-sectional area is π(.005)²/4, so Q=vA=9.81748×10⁻⁷ m³/s=.981748 cm³/s. Rounded result is .98 cm³/s.

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