Question

Diagnostic ultrasound of frequency 4.80 MHz is used to examine tumors in soft tissue.

(a) What is the wavelength in the air of such a sound wave?
(b) If the speed of sound in tissue is 1500m/s, what is the wavelength of this wave in tissue? (Hint: the speed of sound wave in air is always 343m/s)

Answer 1

0.0000714583 m

0.0003125 m

Step-by-step explanation:

v = Speed of sound in the medium

f = Frequency = 4.8 MHz

Wavelength is given by

`\lambda=(v)/(f)\\\Rightarrow \lambda=(343)/(4.8* 10^6)\\\Rightarrow \lambda=0.0000714583\ m`

Wavelength of the sound in air is 0.0000714583 m

`\lambda=(v)/(f)\\\Rightarrow \lambda=(1500)/(4.8* 10^6)\\\Rightarrow \lambda=0.0003125\ m`

Wavelength of the sound in the tissue is 0.0003125 m