Question

Determine the wavelength, assume the density of the medium to be ρ=2.3⋅103kg/m3. express your answer using two significant figures.

Answer 1

The speed of sound in medium is given by formula:

V = √(C/p)

Where: C is the elastic properties and p is the density.

Given:
p = 2.3 * 10³

For any air, near sea level at 14 degree celsius temperature, its elastic property value is: 1.416 * 10^6

Also, The most important sounds we hear every day are in the 250 to 6,000 Hz range. We can assume 250 hertz here.

So, assuming the above constraints:

V = √(C/p)

or, frequency * wavelength = √(C/p)

wavelength = √(C/p) / frequency = √(1.416 * 10^6/2.3 * 10³) /250 = 99.29