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Math Help - Sound propagating

  1. #1
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    Exclamation Sound propagating

    Sound propagating through air at 30oC passes through a vertical cold front into air that is 4.0oC. If the sound has a frequency of 2400 Hz, by what percentage does its wavelength change in crossing the boundary?
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  2. #2
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    Quote Originally Posted by babygirl
    Sound propagating through air at 30oC passes through a vertical cold front into air that is 4.0oC. If the sound has a frequency of 2400 Hz, by what percentage does its wavelength change in crossing the boundary?
    The speed of sound changes from 349.4 m/s to 333.8 m/s. The frequencies
    on both sides of the front are equal, so as:

    <br />
\lambda=c/f<br />

    the wavelengths are:

    <br />
\lambda_1=349.4/2400=0.146,\ \ \lambda_2=333.8/2400=0.139 \mbox{ m}<br />

    So the percentage change in wavelength is:

    \frac{\lambda_2-\lambda_1}{\lambda_1}\times 100\approx 4.8 \%

    RonL
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