The speed v of a wave with frequency f and wavelength λ is given by the formula:
[tex]v=\lambda f[/tex]The speed and the frequency of the sound wave are known. Isolate λ from the equation and substitute the values of v=330m/s and f=70,000Hz to find the wavelength of the sound waves:
[tex]\begin{gathered} \lambda=\frac{v}{f} \\ =\frac{330\frac{m}{s}}{70,000Hz} \\ =0.0047m \\ =0.47\operatorname{cm} \end{gathered}[/tex]Therefore, the wavelength of the sound wave is:
[tex]0.47\operatorname{cm}[/tex]