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A person has a hearing range from 20 Hz to 20 kHz. What are the typical wavelengths of sound waves in air corresponding to these two frequencies? Take the speed of sound in air as 344 m/s.




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Answer 1

Answer:

0.0172 m to 17.2 m

Step-by-step explanation:

Given that a person has a hearing range from 20 Hz to 20 kHz and the the speed of sound in air as 344 m/s.

We need to find out the wavelength of sound waves in air corresponding to these two frequencies.

Now,

Speed = Wavelength x Frequency

Where wavelength is denoted by λ, frequency is denoted by f and speed is denoted by ν.

ν = λ x f

Firstly frequency (f) is 20 Hz

Substitute the values,

λ1 = v/f

λ1 = 344/20

λ1 = 17.2 m

Secondly f = 20 kHz = 20000 Hz

Substitute the values,

λ2 = v/f

λ2 = 344/20000

λ2 = 0.172 m

Therefore, the typical wavelengths of sound waves in air corresponding to these two frequencies 20 Hz to 20 kHz is 0.0172 m to 17.2 m.

Answer 2

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