Are the wavelength of standing wave and sound wave produced same?

Click For Summary

Homework Help Overview

The discussion revolves around the relationship between the wavelength of a standing wave produced on a string and the wavelength of a sound wave in air. The original poster questions whether these wavelengths are the same, given the context of a string being plucked to create a standing wave.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants explore the relationship between frequency and propagation velocity of waves, questioning the assumption that the frequencies of the standing wave and sound wave are identical. There is a discussion about the factors affecting wave speed in different mediums.

Discussion Status

Some participants have provided insights into the differences in wave speed and have referenced the equations governing wave behavior. However, questions remain regarding the reasoning behind the equality of frequencies and the implications of different propagation velocities.

Contextual Notes

Participants are considering the effects of tension and linear density on wave speed in strings, as well as the standard speed of sound in air, which may influence their understanding of the problem.

somecelxis
Messages
121
Reaction score
0

Homework Statement



a string is tightened at 2 ends. the string is then plucked , a standing wave is produced. are the wavelength of standing wave and sound wave produced same?

Homework Equations





The Attempt at a Solution

 
Physics news on Phys.org
No.
We have, for any wave, \lambda=\frac v \nu. The frequency of the standing wave and the sound wave are the same, but their propagation velocities, on the string and in the air respectively, are different and so their wavelengths are different.
 
  • Like
Likes   Reactions: 1 person
how do you know that The frequency of the standing wave and the sound wave are the same, but their propagation velocities, on the string and in the air respectively, are different why?
 
The speed of a wave along a string is determined by the tension in it (T) and the linear density (μ): v=√(T/μ). The speed of sound is about 300 m/s in air at room temperature.

ehild
 
  • Like
Likes   Reactions: 1 person

Similar threads

  • · Replies 19 ·
Replies
19
Views
1K
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 23 ·
Replies
23
Views
3K
  • · Replies 7 ·
Replies
7
Views
2K
Replies
20
Views
5K
  • · Replies 6 ·
Replies
6
Views
2K
  • · Replies 29 ·
Replies
29
Views
2K
  • · Replies 13 ·
Replies
13
Views
2K
Replies
1
Views
1K
  • · Replies 5 ·
Replies
5
Views
3K