Wavelength and destructive interference

Click For Summary
SUMMARY

The discussion centers on calculating the wavelength of sound waves produced by two speakers, with a focus on destructive interference. The distance from the bottom speaker to point 1 is 662.15 m, and from the top speaker to point 1 is 742.9 m. The speed of sound is assumed to be 343 m/s. The user attempted to apply the Pythagorean theorem to determine the path length difference (PLD) but found this approach ineffective for solving the problem.

PREREQUISITES
  • Understanding of sound wave properties, including wavelength and frequency.
  • Knowledge of interference patterns, specifically constructive and destructive interference.
  • Familiarity with the Pythagorean theorem and its application in physics.
  • Basic grasp of wave speed calculations using the formula v = f*lambda.
NEXT STEPS
  • Research the concept of path length difference (PLD) in wave interference.
  • Learn how to calculate wavelength using the formula v = f*lambda with practical examples.
  • Explore the principles of constructive and destructive interference in sound waves.
  • Investigate the effects of distance on sound wave interference patterns in real-world scenarios.
USEFUL FOR

Students studying physics, particularly those focusing on wave mechanics and sound interference, as well as educators seeking to explain these concepts effectively.

boogiepicker
Messages
3
Reaction score
0

Homework Statement



In the figure the two speakers are producing identical sound
waves. The solid lines represent constructive interference regions and the dashed lines represent destructive interference regions. The point labeled 1 is 662.15 m from the bottom speaker
and 742.9 m from the top speaker.

What is the wavelength of the sound waves


Homework Equations


v = f*lambda?, assuming v = 343 m/s
Pythagorean I believe has to be used but I'm not sure


The Attempt at a Solution


Attempted Pyth. to find distance between speakers, thinking this would be the PLD and then I'd be able to find the wavelength from there. This did not work.

Here's a picture:
 
Physics news on Phys.org
only way I could get correct image on here is via attachment
 

Attachments

  • phys dang.jpg
    phys dang.jpg
    14.1 KB · Views: 448

Similar threads

Olympiad question on destructive interference
  • · Replies 3 ·
Replies
3
Views
2K
Destructive vs Constructive interference
  • · Replies 2 ·
Replies
2
Views
4K
What is the Maximum Wavelength for Constructive Interference of Sound Waves?
  • · Replies 3 ·
Replies
3
Views
3K
Sound Wave Interference and Finding the Path Differences with Diagrams
  • · Replies 20 ·
Replies
20
Views
5K
Is there constructive or destructive interference?
  • · Replies 20 ·
Replies
20
Views
3K
Can you please check this (destructive interference).
  • · Replies 8 ·
Replies
8
Views
2K
Destructive interference and constructive interference
  • · Replies 3 ·
Replies
3
Views
3K
Frequency at which no destructive interference occurs
  • · Replies 7 ·
Replies
7
Views
3K
HW Question regarding double-slit interference
  • · Replies 8 ·
Replies
8
Views
3K
Difference in Wave Phase Question
  • · Replies 8 ·
Replies
8
Views
4K