Wave velocity through a medium?

[LINK1290]

The Examkrackers Physics book states in the chapter regarding waves that "wave velocity is dictated by the medium through which the wave travels." Doesn't this mean that all waves travel at the same velocity through a given medium, just at different frequencies and wavelengths? If so, why does the book mention in the chapter regarding light and optics that waves with longer wavelengths (and lower frequencies) move faster through a medium than waves with shorter wavelengths (and higher frequencies)? Does it have something to do with the dual nature of light, or is there something else I'm missing? Thanks for any help.

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[Chemdude]

The Examkrackers Physics book states in the chapter regarding waves that "wave velocity is dictated by the medium through which the wave travels." Doesn't this mean that all waves travel at the same velocity through a given medium, just at different frequencies and wavelengths? If so, why does the book mention in the chapter regarding light and optics that waves with longer wavelengths (and lower frequencies) move faster through a medium than waves with shorter wavelengths (and higher frequencies)? Does it have something to do with the dual nature of light, or is there something else I'm missing? Thanks for any help.

"Mechanical" wave velocity is dictated by the medium through which the wave travels. On the other hand, electromagnetic waves(which include ight/radio waves) don't need transmission mediums to travel.