Question

A dog can hear sounds in the range from 15 to 50,000 hz. what wavelength corresponds to the lower cut-off point of the sounds at 20◦c? answer in units of m.

Answer 1

If you wanted the lower cut off you would divide 344/15=22.9

If you wanted to find the higher cut off you would divide 344/50,000=.00688

Answer 2

Wavelength is the ratio of the speed of wave to the frequency. The wavelength corresponds to the lower cut-off point of the sounds at 20◦c is 22.867 meters.

Given information-

The wavelength of the sound that the dog can hear range from 15 to 50,000 Hz.

What is wavelength?

Wavelength is the distance between the two corresponding point of adjacent waves. The wavelength is the ratio of the speed of wave to the frequency.

It can be given as,

$\lambda=\dfrac{s}{f}$

The frequency corresponds to the lower cut-off point is the lowest frequency that dog can hear. Thus the lowest frequency that dog can hear is 15 Hz.

The speed of the sound is 343 m/s. Therefore,

$\lambda=\dfrac{343}{15} \\\lambda=22.867$

Hence the wavelength corresponds to the lower cut-off point of the sounds at 20◦c is 22.867 meters.

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