Medical ultrasound often uses a frequency of 3.5 MHz. What is the wavelength of these ultrasound waves? Assume that the speed of sound waves in the human body is 1,500 m/s, the same as the speed of sound in salt water.

glitinosim3

glitinosim3

Answered question

2022-07-16

Medical ultrasound often uses a frequency of 3.5 MHz. What is the wavelength of these ultrasound waves? Assume that the speed of sound waves in the human body is 1,500 m/s, the same as the speed of sound in salt water.

Answer & Explanation

Jayvion Tyler

Jayvion Tyler

Beginner2022-07-17Added 23 answers

We know that the wavelength and frequency determine the speed of a wave. They are related by the following formula:
v = λ f...(1)
We know that the speed of sound in human body is v = 1500 m s , and we know the used ultrasOund frequency to equal f=3.5MHz
Now using formula (1) we calculate the wavelength of the ultrasound waves in the human body:
v = λ f
Rearranging for lambda we get:
λ = v f
Now plugging in the values we get:
λ = 1500 m s 3.5 10 6 H z 4.29 10 4 m
Result:
The wavelength of ultrasound waves in the human body is λ = 4.29 10 4 m

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