Physics: The wavelengths of the sounds produced by two horns are 6 m and 7 m respectively. what beat frequency is heard when the horns are sounded on a day when the velocity of sound is 340 m/s?

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The wavelengths of the sounds produced by two horns

xaguilar

15.03.2022

$f_{beat} = 8.1 Hz$

Explanation:

Wavelength of sound produced is given as

$\lambda_1 = 6m$

$\lambda_2 = 7m$

now we know that the frequency of sound is given as

$f_1 = \frac{c}{\lambda_1}$

$f_1 = \frac{340}{6} = 56.67 Hz$

frequency of the other sound is given as

$f_2 = \frac{c}{\lambda_2}$

$f_2 = \frac{340}{7} = 48.57 Hz$

now the beat frequency is given as the difference of the frequency

$f_{beat} = f_1 - f_2$

$f_{beat} = 56.67 - 48.57$

$f_{beat} = 8.1 Hz$

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