Question

Ultrasound has many medical applications, one of which is to monitor fetal heartbeats by reflecting ultrasound off a fetus in the womb.

a. Consider an object moving at speed $v_o$toward an at-rest source that is emitting sound waves of frequency ${\mathrm{f}}_0$. Show that the reflected wave (i.e., the echo) that returns to the source has a Doppler-shifted frequency${\mathrm{f}}_{\mathrm{echo}}=\left(\frac{\mathrm{v}+{\mathrm{v}}_0}{\mathrm{v}-{\mathrm{v}}_0}\right){\mathrm{f}}_0$

Short answer

The solution deals with monitor fetal heartbeats by reflecting ultrasound off a fetus in the womb

Step-by-step solution

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