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GATE 2020 BM – Question 34

Sensors and Bioinstrumentation · Sensors and Signal Conditioning · 1 mark · Numerical answer

An 830 nm laser-Doppler blood-flow probe is at 60° to the flow direction. Mean flow velocity is 3 cm/s. Find Doppler-shift magnitude in kHz to one decimal.

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Correct answer: 35.8 to 36.4

Explanation

For the source’s backscatter geometry, Δf=2v cosθ/λ. Convert speed to .03 m/s and wavelength to 830×10⁻⁹ m. Thus Δf=2×.03×.5/(830×10⁻⁹)=36144.6 Hz=36.1446 kHz, rounded to 36.1 kHz.

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