• Support PF! Buy your school textbooks, materials and every day products Here!

Wave Length in a string

  • Thread starter BizzPhizz
  • Start date
  • #1
14
0

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
 

Answers and Replies

  • #2
haruspex
Science Advisor
Homework Helper
Insights Author
Gold Member
32,331
4,880
What do you know about harmonics in strings, and how their wave lengths in the string relate to the string length?
 
  • #3
14
0
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..
 
  • #4
haruspex
Science Advisor
Homework Helper
Insights Author
Gold Member
32,331
4,880
I think I may have misinterpreted the question before. I thought this was about standing waves, but now I suspect it's about travelling waves. If so, the scenario is that some source is generating waves at one end of the string, and its frequency is then doubled, right? (But note that if this is right then your teacher's remark about wave length being constant does not apply here.)
What you can be sure about is that the velocity of the waves is constant (because the tension is constant). That being all correct, I agree with your conclusion.
 

Related Threads for: Wave Length in a string

Replies
1
Views
1K
Replies
3
Views
1K
Replies
4
Views
639
  • Last Post
Replies
8
Views
1K
Replies
7
Views
809
Replies
10
Views
8K
  • Last Post
Replies
5
Views
2K
Top