A sound is traveling through the air with a temperature of 35•C. The sound wave has a wavelength of 0.75 meters. What is the frequency of the sound

Respuesta :

Answer:

f = 687.85 Hz

Explanation:

Given that,

The wavelength of sound wave, [tex]\lambda=0.75\ m[/tex]

We need to find the frequency of the sound wave. The relation between wavelength and frequency is given by :

[tex]v=f\lambda[/tex]

v is speed of sound at T = 35°C = 308.15 K

[tex]v=331+0.6T\\\\v=331+0.6\times 308.15 \\\\v=515.89\ m/s[/tex]

So,

[tex]f=\dfrac{v}{\lambda}\\\\f=\dfrac{515.89}{0.75}\\\\f=687.85\ Hz[/tex]

So, the frequency of the sound is 687.85 Hz.