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Question :Blood flow rates can be found by measuring the Dopplers shift in frequency of ultrasound reflected by red blood cells. Assume that the speed of red blood cells is v, the speed of sound in blood is u, that the ultrasound emits sound of frequency f, and that the blood cells are moving directly towards the ultrasound source:
a) Show that frequency of fr of the reflected reflected waves is given by fr = f[(1+v/u)/ (1-v/u)]b) the reflected sound interferes with emitted sound producing beats. Find the beat frequency between the outgoing and reflected sound wave and show that it is proportional to the speed of the blood cell if v/u<1.c) Say the ultrasound frequency used is 5.5MHz and the speed of sound in 1520m/s. If the beat frequency is 623Hz , what is the speed of the blood?