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 bulk modulus B for the prostate gland?

Answer 1

The bulk modulus of the prostate gland is 2599000000 N/m².

Step-by-step explanation:

The bulk modulus (B) is a measure of the resistance of a substance to compression. It is defined as the ratio of the applied stress to the resulting strain. In this case, we can use the formula B = ρv², where ρ is the density of the prostate and v is the speed of sound in the prostate.

Given that the speed of sound in the prostate is 1550 m/s and the density of the prostate is 1060 kg/m³, we can calculate the bulk modulus as follows:

B = 1060 kg/m³ x (1550 m/s)² = 2599000000 N/m²

Therefore, the bulk modulus of the prostate gland is 2599000000 N/m².