## College Physics (4th Edition)

The wavelength at the lower limit of human hearing is $34.3~m$ The wavelength at the upper limit of human hearing is $1.715~cm$
We can use $v = 343~m/s$ as the speed of sound. We can find the wavelength of a sound wave with a frequency of $10~Hz$: $\lambda = \frac{v}{f}$ $\lambda = \frac{343~m/s}{10~Hz}$ $\lambda = 34.3~m$ The wavelength at the lower limit of human hearing is $34.3~m$ We can find the wavelength of a sound wave with a frequency of $20~kHz$: $\lambda = \frac{v}{f}$ $\lambda = \frac{343~m/s}{20~kHz}$ $\lambda = \frac{343~m/s}{20\times 10^3~Hz}$ $\lambda = 0.01715~m$ $\lambda = 1.715~cm$ The wavelength at the upper limit of human hearing is $1.715~cm$