2. a) Derive an equation, from first principles, that relates the ...

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2. a) Derive an equation, from first principles, that relates the Doppler shift to the blood flow velocity in laser Doppler flowmetry. (10 marks) b) A laser Doppler flowmeter is being used to measure the velocity of blood flow in one specific vein near the surface of the arm. The laser source (wavelength, 1 = 800 nm) and the detector of the laser Doppler flowmeter instrument are adjacent to each other, and the beam is aimed at the vein with an angle of 45° to the flow direction. The beat frequency (between the backscattered light and the original laser light) measured by the instrument is 500 kHz. What is the speed of the blood flowing in the vein? (4 marks) c) Describe the factors that place practical limitations on the laser Doppler flowmetry technique. (6 marks)

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