Elephants can communicate over distances as far as 6 km by using very low-frequency sound waves. What is the wavelength of a 10

Question

3 years ago

13

Hz sound wave emitted by an elephant? Assume air temperature is 20∘C.

1 answer:

harkovskaia [24] · Answer 1 · 2022-12-01T14:09:14+03:00

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 = $v_o \sqrt{1 + \frac{T}{273} }$

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 $\sqrt{1 + \frac{20}{273} }$

v = 342.9 m / s

The speed of sound is related to wavelength and frequency.

v = λ f

λ = $\frac{v}{f}$

Let's calculate

$\lambda = \frac{342.29}{10}$

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