A sound wave with a frequency of 400 Hz is moving through a solid object. If the wavelength of the sound wave is 8 m, what is the speed of sound traveling through the solid object?


50 m/s

3200 m/s

408 m/s

0.02 m/s

Respuesta :

AMB000

Answer:

[tex]v=3200m/s[/tex]

Explanation:

The velocity (speed) of a sound wave (any wave in fact) is related to its frequency and wavelength by the equation [tex]v=\lambda f[/tex]. This is easy to remember since it's a distance divided by a time because frequency is the inverse of the period.

Since for sound traveling through the given solid object we have that [tex]f=400Hz[/tex] and [tex]\lambda=8m[/tex], the speed of sound will be:

[tex]v=\lambda f=(8m)(400Hz)=3200m/s[/tex]