Question

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?

Answer 1

`f_(beat) = 8.1 Hz`

Step-by-step 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 = (c)/(\lambda_1)`

`f_1 = (340)/(6) = 56.67 Hz`

frequency of the other sound is given as

`f_2 = (c)/(\lambda_2)`

`f_2 = (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`