Answer:
0.017 m - 17 m
Explanation:
The relationship between wavelength and frequency of a wave is:
[tex]\lambda=\frac{v}{f}[/tex]
where v is the speed of the wave, [tex]\lambda[/tex] the wavelength and f the frequency.
The speed of sound waves in air at room temperature is
v = 340 m/s
For the lowest frequency, f = 20 Hz, the wavelength is
[tex]\lambda=\frac{340 m/s}{20 Hz}=17 m[/tex]
For the highest frequency, f = 20 kHz = 20,000 Hz, the wavelength is
[tex]\lambda=\frac{340 m/s}{20,000 Hz}=0.017 m[/tex]