# Wavelength of a mechanical wave in different media

I quote the following sentence from a book: "Two mechanical waves with the same amplitude, wavelength, and frequency will move at different speeds if they are moving through different materials."

The confusion is whether to depend on the equation $v=\lambda*f$; this implies that waves will have the same speed if they have the same frequency and wavelength.

The other misunderstanding is when using $v = \sqrt{(F/\mu)}$; which implies that the speed of a wave is independent of its wavelength and frequency but sololy depends on the linear density and elasticity of the material.

So the question is how does the speed of a mechanical wave change in different media and on what factors does it depend? Is the quote correct?

Thanks.

$v=\sqrt{\dfrac{F}{\mu}}$
$v=\lambda f$