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25 March, 20:56

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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  1. 25 March, 21:24
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    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
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