Wave Interference QUICK PROBLEM

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SUMMARY

The discussion focuses on plotting wave interference patterns for three specific wavelengths: λ = d/4, d, and 2d. Participants emphasize the need to graph the maxima and minima of these patterns, suggesting the use of sine or cosine functions to represent the curves. The consensus is to connect the points of constructive and destructive interference, highlighting the characteristics of concavity in the graphs. Clear guidance is provided on sketching the three distinct graphs based on phase variations.

PREREQUISITES
  • Understanding of wave interference principles
  • Familiarity with sine and cosine functions
  • Knowledge of graphing techniques
  • Basic concepts of maxima and minima in calculus
NEXT STEPS
  • Research how to graph wave functions using software like Desmos or GeoGebra
  • Learn about phase shifts in trigonometric functions
  • Study the mathematical derivation of constructive and destructive interference
  • Explore advanced topics in wave mechanics, such as Fourier analysis
USEFUL FOR

Students and educators in physics, particularly those studying wave mechanics, as well as anyone interested in visualizing wave interference patterns through graphing techniques.

clipperdude21
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1. Show the plot of the maxima and minima (ie:points of cons and dest. interference) for lamda= d/4, d and 2d





3. I am not quite sure what it is asking for. Do I just draw a graph that shows all 3 patterns?
 
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Sounds like it. Just graph the points, connect them with a common curve (prob something like a sin or cosine graph) and point out where the curve reaches its maximum and/ or minimum (concave up or down).
 
could someone help me see how i draw the 3 graphs. I was just going to sketch a sin like graph followed by a sin graph with a phase then a 3rd graph with a larger phase.
 

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