Final answer:
To find the wavelength of the lowest pitch sound that the average human can hear, we use the equation λ = v / f. With a frequency of 20 Hz and a sound speed of 340 m/s, the wavelength is calculated to be 17 meters.
Step-by-step explanation:
The question asks about the relationship between frequency, wave speed, and wavelength of sound waves. To find the wavelength of a sound wave, we can use the equation v = f × λ, where v is the speed of the sound wave, f is the frequency, and λ (lambda) is the wavelength. Given that the lowest pitch that the average human can hear has a frequency of 20 Hz and a wave speed of 340 m/s, we can rearrange the formula to solve for λ: λ = v / f. Substituting the values, we obtain λ = 340 m/s / 20 Hz, which calculates to a wavelength of 17 m. This is the length of one cycle of the sound wave at the threshold of human hearing.