Understanding Waves for Solving Problems

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SUMMARY

This discussion focuses on understanding wave interference, specifically addressing the conditions for maximum destructive interference at angles of 44.4° and 64.6°. The relevant formula for this scenario is dsinθ = (m + 1/2)λ, which applies when two sources are driven in phase, sharing the same frequency and phase. The conversation emphasizes the importance of grasping the conceptual framework of wave interference before delving into the mathematical aspects.

PREREQUISITES
  • Understanding of wave interference principles
  • Familiarity with the formula dsinθ = (m + 1/2)λ
  • Knowledge of phase and frequency in wave mechanics
  • Basic trigonometry for angle calculations
NEXT STEPS
  • Research wave interference patterns and their mathematical representations
  • Watch educational videos on wave interference to build conceptual understanding
  • Explore the implications of phase differences in wave behavior
  • Study examples of destructive and constructive interference in real-world scenarios
USEFUL FOR

Students studying physics, educators teaching wave mechanics, and anyone interested in the principles of wave interference and its applications.

StillAnotherDave
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Homework Statement
Waves question (year one)
Relevant Equations
Not sure
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Hello folks,

I'm having trouble getting started on this question about waves. I missed the associated lecture and don't know which formulae I need to be thinking about. Any help towards an approach to the questions would be appreciated.
 
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The register of zero at the 44.4° and 64.6° means that there is maximum destructive interference at these points. I don't think that the two sources can be assumed to be of the same wavelength. I imagine the formula dsinθ = (m+1/2)λ is relevant?
 
StillAnotherDave said:
I don't think that the two sources can be assumed to be of the same wavelength.
The problem states that "the two sources are driven in phase", which means they have both the same frequency and phase. :smile:
 
berkeman said:
The problem states that "the two sources are driven in phase", which means they have both the same frequency and phase. :smile:

Ah okay. That's progress already. A hint towards getting started?
 
StillAnotherDave said:
Ah okay. That's progress already. A hint towards getting started?
Go youtube a few videos on wave interference then you'll understand conceptually what is going on. After that you can start thinking about the math.
 
StillAnotherDave said:
A hint towards getting started?
StillAnotherDave said:
I imagine the formula dsinθ = (m+1/2)λ is relevant?
:smile:
 

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