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Elephants can communicate over distances as far as 6 km by using very low-frequency sound waves. What is the wavelength of a 10 Hz sound wave emitted by an elephant? Assume air temperature is 20∘C.

Sagot :

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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