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NickAbbey · Answer 1 · 2023-01-21T02:17:35+0000

The speed v of a wave with frequency f and wavelength λ is given by the formula:

$v=\lambda f$

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:

$\begin{gathered} \lambda=(v)/(f) \\ =(330(m)/(s))/(70,000Hz) \\ =0.0047m \\ =0.47\operatorname{cm} \end{gathered}$

Therefore, the wavelength of the sound wave is:

$0.47\operatorname{cm}$

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