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.

Bobby Gross

Bobby Gross

Answered question

2023-02-22

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

Answer & Explanation

Michaela Perez

Michaela Perez

Beginner2023-02-23Added 7 answers

Given data
The person's capacity for hearing=20Hz-20KHz
Speed of sound in air =344ms
Formula used
Speed = Frequency×Wavelength
Solution
v=f×λ
(i). For the frequency f=20Hz
λ=34420=17.2m
(ii). For the frequency f=20kHz
λ=34420×103=0.0172m
Hence, the range of wavelength is 0.0172m-17.2m.

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