Ultrasound with f = 4.4MHz is used in a medical imager
A)Find the wavelength in air, with sound speed 343 m/s.
B)Find the wavelength in muscle tissue, with v = 1580 m/s
A. L = V*T =V*(1/F)=V/F
L = 343/4.4*10^6 = 7.95*10^-5m.
B. L = 1580/4.4*10^6 = 359*10^-6=3.59*10^-4 m.
A) To find the wavelength in air, we can use the formula:
wavelength = speed of sound / frequency
Given that the sound speed in air is 343 m/s and the frequency is 4.4 MHz (4.4 x 10^6 Hz), we can substitute these values into the formula to calculate the wavelength:
wavelength = 343 m/s / 4.4 x 10^6 Hz
Now let's perform the calculation:
wavelength ≈ 0.0779 meters or 77.9 millimeters
Therefore, the wavelength of the ultrasound in air is approximately 0.0779 meters or 77.9 millimeters.
B) To find the wavelength in muscle tissue, we can again use the formula:
wavelength = speed of sound / frequency
Given that the sound speed in muscle tissue is 1580 m/s and the frequency is 4.4 MHz, we can substitute these values into the formula to calculate the wavelength:
wavelength = 1580 m/s / 4.4 x 10^6 Hz
Now let's perform the calculation:
wavelength ≈ 0.000358 meters or 0.358 millimeters
Therefore, the wavelength of the ultrasound in muscle tissue is approximately 0.000358 meters or 0.358 millimeters.