Answer :
The characteristics of the sound waves allow to find the result for the wavelength is:
λ = 34.29 m
The sound wave is a longitudinal traveling wave, where the speed of the wave depends on the air temperature.
v = [tex]v_o \sqrt{1 + \frac{T}{273} }[/tex]
where v₀ is the speed of sound for T = 0ºc v₀ = 331 m / s.
indicate that the temperature is T = 20ºC, let's find the speed of the traveling wave.
v = 331 [tex]\sqrt{1 + \frac{20}{273} }[/tex]
v = 342.9 m / s
The speed of sound is related to wavelength and frequency.
v = λ f
λ = [tex]\frac{v}{f}[/tex]
Let's calculate
[tex]\lambda = \frac{342.29}{10}[/tex]
λ = 34.29 m
In conclusion using the characteristics of sound waves we can find the result for the wavelength is:
λ = 34.29 m
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