Answer
The wavelength at the lower limit of human hearing is $34.3~m$
The wavelength at the upper limit of human hearing is $1.715~cm$
Work Step by Step
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 $1.715~cm$
