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

Question

Physics

Neveah Le

2 May, 18:23

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

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Answers (1)

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Lawson Gordon · 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