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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- Aug 8th 2006, 12:45 PMbabygirlSound 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?

- Aug 8th 2006, 01:09 PMCaptainBlackQuote:

Originally Posted by**babygirl**

on both sides of the front are equal, so as:

$\displaystyle

\lambda=c/f

$

the wavelengths are:

$\displaystyle

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

$

So the percentage change in wavelength is:

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

RonL