A sound wave is traveling at a speed of 330 m/s. If the frequency of the wave is 660 Hz, what is the wavelength of the sound wave?

2 m
330 m
990 m
0.5 m

Respuesta :

Answer:

The wavelength of the sound wave traveling at 330 m/s is 0.5 m.

Explanation:

Given:

Speed of sound wave is, [tex]v=330\ m/s[/tex]

Frequency of the sound wave is, [tex]f=660\ Hz[/tex]

Speed of a sound wave is related to its frequency and wavelength as:

[tex]v=f\lambda[/tex], where, [tex]\lambda[/tex] is the wavelength.

Now, plug in 330 for [tex]v[/tex], 660 for [tex]f[/tex] and solve for [tex]\lambda[/tex]. This gives,

[tex]330=660\lambda\\\lambda=\frac{330}{660}=0.5\ m[/tex]

Therefore, the wavelength of the sound wave traveling at 330 m/s is 0.5 m.

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