# Will the wavelength decrease when the wave moves from a light string to a heavy...

by insertnamehere
Tags: decrease, heavy, light, moves, string, wave, wavelength
 P: 50 hi, i was just wondering if a wave's wavelength will change when it goes from a light string to a heavier one. I think it wouldn't affect it, however I know that velocity will be affected as the linear density will be changed. But am I right, will the wavelength remain unaffected?
 Emeritus Sci Advisor PF Gold P: 5,540 You're right that the speed changes. It seems that the essential piece of information that you are missing is this: the frequency does not change. So since you know that $v_1=\lambda_1f_1$ and $v_2=\lambda_2f_2$, so what can you say about the wavelengths?
 P: 50 ok, so that means that although the mass of the string increases, this will have no affect whatsoever on the frequency because since v= sqrt(T/linear density) and also (wavelength/tension) and increasing the mass of the string will have no affect on the tension, v increases as the tension remains constant, therefore will the wavelength have to INCREASE in order to compensate the equation? Am i on the right track?
Emeritus
PF Gold
P: 5,540

## Will the wavelength decrease when the wave moves from a light string to a heavy...

 Quote by insertnamehere v= sqrt(T/linear density) and also (wavelength/tension)
The first part is right, but the second part is not. v does not equal (wavelength/tension). That expression doesn't even have the right units to be a speed.

 and increasing the mass of the string will have no affect on the tension, v increases as the tension remains constant, therefore will the wavelength have to INCREASE in order to compensate the equation? Am i on the right track?
The wave speed decreases as you move to the string of higher mass density.
 P: 50 oh no, i meant v= (wavelength/PERIOD)

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