Question

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

Answer 1

`v=3200m/s`

Step-by-step explanation:

The velocity (speed) of a sound wave (any wave in fact) is related to its frequency and wavelength by the equation
`v=\lambda f`. 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
`f=400Hz` and
`\lambda=8m`, the speed of sound will be:

`v=\lambda f=(8m)(400Hz)=3200m/s`