Sinusoidal wave traveling along a composite string

[golnat]

I've been working on this one for quite some time...

Consider a sinusoidal wave traveling along a string composed of two sections, one with a lighter mass/length density than the other. A pulse is traveling in the light region and about to hit the junction. If the incident wave is given by y_i(x,t)=A_i*sin(wt-k1x), will the transmitted and reflected waves have the same wave number or frequency?

 

[golnat]

forgot to mention the fact that the whole string is under tension F

 

[Doc Al]

will the transmitted and reflected waves have the same wave number or frequency?

The frequency remains the same.