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 1525 m/s, and a diagnostic sonogram uses ultrasound of frequency 2.75 MHz. The density of the prostate is 1060 kg/m3.

What is the wavelength 𝜆 of the sonogram ultrasound?
What is the bulk modulus 𝐵 for the prostate gland?

I don't want the answers I just want help with which equations to use here.

http://hyperphysics.phy-astr.gsu.edu/hbase/Sound/souspe2.html

and yes ,velocity ALSO = distance/time = wavelength/period = frequency*wavelength

I know that velocity = frequency x wavelength

but I don't understand how the bulk modulus fits in here, how do I solve that?

To determine the wavelength of the sonogram ultrasound and the bulk modulus of the prostate gland, we can use the following equations:

1. Wavelength (λ) of a wave:
λ = v / f

Where:
λ is the wavelength,
v is the velocity of the wave,
f is the frequency of the wave.

2. Velocity (v) of a wave in a medium:
v = √(B / ρ)

Where:
v is the velocity of the wave,
B is the bulk modulus of the medium,
ρ is the density of the medium.

3. Bulk modulus (B) of a medium:
B = ρ * v^2

Where:
B is the bulk modulus of the medium,
ρ is the density of the medium,
v is the velocity of the wave.

Now, let's use these equations to find the values.