Sinusoidal wave traveling along a composite string

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A sinusoidal wave traveling along a composite string with differing mass/length densities raises questions about wave behavior at the junction. The incident wave is described by the equation y_i(x,t)=A_i*sin(wt-k1x). When the wave encounters the junction, the frequency of the transmitted and reflected waves remains unchanged. However, the wave number may differ due to the change in medium properties. The entire string is under tension, which influences wave propagation characteristics.
golnat
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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?
 
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forgot to mention the fact that the whole string is under tension F
 
golnat said:
will the transmitted and reflected waves have the same wave number or frequency?
The frequency remains the same.
 
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