Find the deadspot from distance from the speaker

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To find the dead spot between two loudspeakers producing sound with an 83.5cm wavelength, one must understand the principles of constructive and destructive interference. The problem involves moving toward one speaker to identify a location where sound waves cancel each other out, creating a dead spot. It is suggested to visualize the scenario with a drawing to clarify the interference patterns. The discussion emphasizes the importance of recognizing the conditions for both types of interference and considers whether the sound waves can be treated as plane waves at a distance. Understanding these concepts is crucial for solving the problem effectively.
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Homework Statement


You're midway between two loudspeakers producing sound with the same 83.5cm wavelength, and you experience constructive interference.

How far must you move toward one speaker in order to find a dead spot?

Homework Equations


The Attempt at a Solution


I have no clue what to do. I've done all the other problems on my HW just fine..but not this...
All i have is the wavelength. not sure what to do..I'm sure it's simple...probably haven't thought about it clearly..
 
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A standing wave is set up between the 2 speakers.
 
Google for constructive and destructive interference.
Work out the conditions required for both.
Make a drawing.
 
At least you don't need to think about beating effects, as the waves have the same frequency. Have you worked with interference before? I am uncertain, if you can simply assume they are plane waves or not. I think sound waves are usually spherical, but perhaps you can assume, that they are plane waves, if you are far from the speakers.

http://hyperphysics.phy-astr.gsu.edu/hbase/sound/interf.html#c4
 
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