Standing wave interference pattern problem

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Homework Help Overview

The discussion revolves around the concept of standing wave interference patterns, specifically focusing on the definition of wavelength and the conditions required for complete destructive interference between two waves.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants are exploring the definition of a wavelength in the context of standing waves and questioning the necessary conditions for achieving complete destructive interference, including the relationship between wavelengths and amplitudes.

Discussion Status

There are multiple interpretations of the requirements for complete destructive interference, with some participants suggesting that the waves must have the same frequency and be out of phase, while others emphasize the alignment of crests and troughs. The discussion is ongoing with various aspects being examined.

Contextual Notes

Participants are considering the implications of wave properties such as frequency and amplitude in the context of standing wave patterns, but there may be assumptions about the nature of the waves that are not fully articulated.

DarkVoid
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In a standing wave interference pattern, what distance constitutes a wavelength?

For complete destructive interference, what must be true of the wavelengths and amplitudes of the 2 waves?

Thx
 
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Waves?

In a standing wave interference pattern, what distance constitutes a wavelength?

For complete destructive interference, what must be true of the wavelengths and amplitudes of the 2 waves?
 
DarkVoid said:
In a standing wave interference pattern, what distance constitutes a wavelength?

For complete destructive interference, what must be true of the wavelengths and amplitudes of the 2 waves?
Wavelength - Disatance from crest to an adjacent crest or trough to an adjacent trough. (They will be the same length)
For complete destructive interference the wavelengths and amplitudes must be the same and the troughs of one wave must line up with the the crests of the other (and vice versa).
 
For complete destructive interference the waves must have exactly the same frequency content and power spectrum (amplitudes of all the different frequency components) and the waves must be exactly out of phase.
 

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