Answer
The wavelength of a sound wave with a frequency of $1.0\times 10^5~Hz$ in an air temperature of $15^{\circ}C$ is $3.4~mm$
Work Step by Step
We can find the speed of sound at a temperature of $15^{\circ}C$:
$v = (331+0.60~T)~m/s$
$v = [331+(0.60)~(15^{\circ}C)]~m/s$
$v = 340~m/s$
We can find the wavelength of a sound wave with a frequency of $1.0\times 10^5~Hz$:
$\lambda = \frac{v}{f}$
$\lambda = \frac{340~m/s}{1.0\times 10^5~Hz}$
$\lambda = 3.4\times 10^{-3}~m$
$\lambda = 3.4~mm$
The wavelength of a sound wave with a frequency of $1.0\times 10^5~Hz$ in an air temperature of $15^{\circ}C$ is $3.4~mm$
