Question

A diagnostic sonogram produces a picture of internal organs by passing ultrasound through the tissue. In one application, it is used to find the size, location, and shape of the prostate in preparation for surgery or other treatment. The speed of sound in the prostate is 1550 m/s and a diagnostic sonogram uses ultrasound of frequency 1.35 MHz. The density of the prostate is 1060 kg/m³. What is the wavelength of the ultrasound in the prostate?

1) 0.001 m
2) 0.002 m
3) 0.003 m
4) 0.004 m

Answer 1

The wavelength of the ultrasound in the prostate is approximately 0.001 m.

Step-by-step explanation:

The wavelength of the ultrasound in the prostate can be found using the formula:

Wavelength = Speed / Frequency

Given that the speed of sound in the prostate is 1550 m/s and the frequency of the ultrasound is 1.35 MHz (1 MHz = 10^6 Hz), we can calculate the wavelength as follows:

Wavelength = 1550 m/s / (1.35 * 10^6 Hz) = 0.001148 m

This is due to the law of conservation of mass which states that mass is neither created nor destroyed in a chemical reaction or physical transformation, which melting is

Therefore, the wavelength of the ultrasound in the prostate is approximately 0.001 m.