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During an ultrasound, sound waves are sent by a transducer through muscle tissue at a speed of 1300 m/s. Some of the sound waves are reflected from a metal fragment in the muscle and are detected by the transducer 1.5 x 10−4 seconds after they were first emitted. What is the depth of the metal fragment in the muscle tissue?

Respuesta :

Answer:

Distance of metal fragment is 0.0975 m

Explanation:

As we know that the ultrasound will move towards the metal fragment and reflected back to the transducer

So the time interval in which sound will go to the metal fragment and come back is given as

[tex]t = 1.5 \times 10^{-4} s[/tex]

now we know that the speed of the wave in the metal is

v = 1300 m/s

now we know that total distance traveled by the ultrasonic wave is given as

[tex]d = v t[/tex]

[tex]d = 1300 (1.5 \times 10^[-4})[/tex]

[tex]d = 0.195 m[/tex]

so the depth of metal fragment is half of total distance because in the ultraviolet sound move to and from between transducer and metal fragment so its distance is given as

[tex]x = \frac{d}{2}[/tex]

[tex]x = 0.0975 m[/tex]

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