Which waves can have a constructive interference?

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Homework Help Overview

The discussion revolves around the conditions under which waves can experience constructive interference, focusing on the relationship between frequency, phase, and interference patterns.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants explore the necessity of both frequency and phase for constructive interference, questioning whether the same frequency alone suffices. They discuss the locations of constructive interference and the implications of phase differences.

Discussion Status

Participants are actively engaging with the concepts of constructive interference, examining different scenarios and questioning the conditions under which interference occurs. There is an exploration of how phase differences can arise and their impact on interference outcomes.

Contextual Notes

Some participants reference external sources, such as Wikipedia, to support their points about phase differences and interference types. There is an acknowledgment of the complexity of interference patterns, including the possibility of partial constructive or destructive interference.

annalian
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Homework Statement


Which waves can have a constructive interference?

Homework Equations


∆x=kλ

The Attempt at a Solution


I think that waves with the same frequency and phase can have a constructive interference. What if they only have the same frequency? Can they create constructive interference?
 
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annalian said:
I think that waves with the same frequency and phase can have a constructive interference. What if they only have the same frequency? Can they create constructive interference?
They can. They will interfere constructively in different places depending on their phase.

If two sources have the same frequency and are in phase, where do they interfere constructively?
Why do they interfere constructively there and not in some other places?
 
Merlin3189 said:
They can. They will interfere constructively in different places depending on their phase.

If two sources have the same frequency and are in phase, where do they interfere constructively?
Why do they interfere constructively there and not in some other places?
They interfere construictively at the points in which they meet I think
In Wikipedia it says "Constructive interference occurs when the phase difference between the waves is a multiple of 2π"
 
Last edited:
annalian said:
They interfere constructively at the points in which they meet I think
Well they interfere at points where they meet, but not always constructively. Sometimes they interfere destructively and mainly it's something in between - partially constructive or partially destructive..
And in general they don't just meet at a few points, they meet everywhere both waves can get to.

annalian said:
In Wikipedia it says "Constructive interference occurs when the phase difference between the waves is a multiple of 2π"
Yes. Because a phase difference of 2π for a sine wave is exactly the same as the original. And another 2π is the same again, etc.

Now, how do these phase differences arise, if both sources are in phase?
And if you have two sources which are not in phase, but differ by say 1π, how will you get a point where they interfere constructively?
 

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