Question

Ultrasound with a frequency of 4.077 mhz can be used to produce images of the human body. if the speed of sound in the body is the same (2.31 km/s) as in salt water, what is the wavelength in the body? answer in units of m. 01

Answer 1

The frequency of the ultrasound is (converting in Hz)
$f=4.077 MHz=4.077 \cdot 10^6 Hz$
while the speed of sound in the body is
$v=2.31 km/s = 2310 m/s$

We can calculate the wavelength of the ultrasound in the body by using the relationship betwen frequency, wavelength and speed of the wave:
$\lambda = \frac{v}{f}= \frac{2310 m/s}{4.077 \cdot 10^6 Hz}=5.67 \cdot 10^{-4} m$