Ultrasound refers to sound waves that have frequencies that are higher than humans can hear. Information from ultrasound waves that are reflected off objects can be used to make images.

Question

Dr. Nolas is using an ultrasound machine to make images of objects that are in a liquid. The machine produces a wave that moves through the liquid at a speed of 1,500 m/s and has a frequency of 25,000 Hz. What is the wavelength of the wave moving through the liquid?
A.
33.34 m
B.
16.67 m
C.
0.080 m
D.
0.060 m

Answer 1

To find the wavelength of the wave, we can use the formula:

\[ \text{Wavelength} = \frac{\text{Speed}}{\text{Frequency}} \]

Given:

• Speed of the wave (\(v\)) = 1,500 m/s
• Frequency of the wave (\(f\)) = 25,000 Hz

Now, we can calculate the wavelength (\(\lambda\)):

\[ \lambda = \frac{v}{f} = \frac{1500 , \text{m/s}}{25000 , \text{Hz}} = \frac{1500}{25000} , \text{m} \]

Calculating this gives:

\[ \lambda = 0.06 , \text{m} \]

So, the wavelength of the wave moving through the liquid is:

D. 0.060 m