Physics

Blood flow rates in the umbilical cord can be found by measuring the Doppler shift of the ultrasound signal reflected by the red blood cells. If the source emits a frequency f, what is the measured reflected frequency fR? Assume that all of the red blood cells move directly toward the source. Let c be the speed of sound in blood and v be the speed of the red blood cells.

A) f (c+v)/c
B) f (c+v)/c-v
C) f (c+v)/v-c
D) f (c-v)/v+c

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  1. fb = frequency heard then emmitted by blood particle
    fb = (c+v) f /c

    fl = frequency heard back at the source
    f receiver = fr = fb c/(c-v)

    so the result is:

    fr = f * (c+v)/(c-v)
    which is B (sort of, parenthesis missing)

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