# Wave Length in a string

## Homework Statement

This is a communication question, no variables given:

Predict what happens to the wavelength of a wave on a
string when the frequency is doubled. Assume that the
tension in the string remains the same. Confirm your
prediction mathematically.

## The Attempt at a Solution

All I know is that my teacher said in a string the wave length is constant, so help me...

Please also show it mathematically c:

Thanks,
BizzPhizz

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haruspex
Homework Helper
Gold Member
What do you know about harmonics in strings, and how their wave lengths in the string relate to the string length?

Okay, Don't rage at me if I get this wrong, but

V=λ/τ or V=∫λ

∫ being frequency, I know the question stated there was no change in tension of the string so velocity must be constant.

I don't know why my teacher said wave length in a string is constant, if that's the case there would be no pitch.

So I can come to a conclusion that if frequency doubles, wave length halves..

haruspex