# The speed of sound in a solid medium is 15 times greater than that in air. If the frequency of a...

## Question:

The speed of sound in a solid medium is {eq}\rm 15 {/eq} times greater than that in air. If the frequency of a wave in the solid is {eq}\rm 11\ kHz {/eq}, then what is the wavelength?

## Relationship between the Speed and the Wavelength of a Sound Wave:

The relationship between the speed and the wavelength of a sound wave in a given medium is expressed as:

{eq}\lambda = \dfrac{ v }{ f } {/eq}

Where:

• {eq}v {/eq} is the speed of the sound wave in the given medium.
• {eq}\lambda {/eq} is the wavelength of the sound wave in the given medium.
• {eq}f {/eq} is the frequency the sound wave.

Note. The frequency of a wave does not depend on the medium.