Question

With each beat of your heart the aortic valve opens and closes. The valve opens and closes very rapidly, with a peak velocity as high as 4 m/s. If we image it with 7 MHz sound and the speed of sound is approximately 1500 m/s in human tissue, what is the frequency shift between the opening and closing of the valve?

Answer 1

|Δf| = 37.3 kHz

Step-by-step explanation:

given,

peak velocity = 4 m/s

speed of the sound = 1500 m/s

frequency = 7 MHz

`v = C(\pm \dlta f)/(2 f_0)`

`\delta f = \pm 2 f_0 ((V)/(C))`

`\delta f = \pm 2* 7 ((4)/(1500))`

`=\pm 0.0373 MHz`

= 37.3 kHz

|Δf| = 37.3 kHz

hence, frequency shift between the opening and closing valve is 37.3 kHz