What Determines the Distance Between Two People Based on Interference Patterns?

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The discussion centers on determining the distance between two people based on sound wave interference patterns. Key concepts include the relationship between wave velocity, frequency, and wavelength, as well as the application of trigonometry to find distances. The problem is identified as a single-slit diffraction scenario, where the width of the doorway in wavelengths plays a significant role. Participants express uncertainty about the mathematical approach to solve the problem. Understanding interference patterns is crucial for accurately calculating the distances involved.
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Homework Statement



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Homework Equations



wave velocity = frequency * wave length

The Attempt at a Solution



Well...I'm not sure. I know how you could find the distance to the person to the right using trigonometric, but I don't know how to actually answer the question (mathematically). Interference might have something to do with it?
 
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The width of the doorway (in wavelengths) should be important.

Consider having one whistle, and two echos (one from each side).

Regards,

Bill
 
bfr said:

The Attempt at a Solution



Well...I'm not sure. I know how you could find the distance to the person to the right using trigonometric, but I don't know how to actually answer the question (mathematically). Interference might have something to do with it?

Yes; the sound wave is passing through a wide slit, so this is a single-slit diffracion problem.
 

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