The wavelength is related to the frequency by the relationship:
[tex]\lambda= \frac{v}{f} [/tex]
where v is the wave speed and f is its frequency.
The speed of sound in air is v=344 m/s. The lowest frequency is f=20.0 Hz, so the corresponding wavelength is
[tex]\lambda_1 = \frac{v}{f_1}= \frac{344 m/s}{20.0 Hz}=17.2 m [/tex]
The highest frequency is [tex]f_2 = 2.00 \cdot 10^4 Hz[/tex], so the corresponding wavelength is
[tex]\lambda_2 = \frac{v}{f_2}= \frac{344 m/s}{2.00 \cdot 10^4 Hz}=0.017 m [/tex]
Therefore, the range of wavelengths of audible sound in air is
[0.017 m - 17.2 m]
