Same frequency different wavelength?

[hasankamal007]

how can waves like sound have different wavelengths with same frequency?(Wα1/frequency)
For eg, in air vel=wav*freq which in solid is more. So, either frequency or wavelength should change. But, since frequency is source dependent, its only the wavelength that changes.

My Doubt is that how can there be different wavelengths on same frequency in different media? (when Wα1/frequency)[considering a graph]

Please Explain...
Thanks a bunch!

 

[nasu]

You have the things a little backwards.
The wavelength of waves with same frequency is different in different media because the velocity of these waves depends on the medium.
The propagation velocity is a property of the medium. It depends on its elasticity (and also density).
A wave excited in a medium will propagate with this velocity. The wavelength is the distance traveled during a period of the excitation, which is determined by the source of the perturbation.