Question

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-1 .

Answer 1

We know, Speed = Wavelength × frequency
$V = λ × v$
For $v$ = 20 Hz
$λ_1$ = $\frac{v}{v_1}$ = $\frac{344}{20}$ = 17.2 m
For v2 = 20,000 Hz
$λ_2 =\frac{ v}{v_2} = \frac{344}{20,000}$ = 0.0172 m
Hence, the range of wavelength is 0.0172 m to 17.2 m.