You are walking around a large open field. The only objects nearby are two ident

Question

You are walking around a large open field. The only objects nearby are two identical speakers set some distance apart, which are both producing sound, in unison, with a wavelength of 4 m. As you wander around the field, you notice that at certain locations, the sound you hear is surprisingly loud, while at others it seems unusually quiet. You conclude that you are observing the effects of interference between the two sources of sound waves. For each of the locations given below, indicate what sort of interference would occur at that point.

Explanation / Answer

Constructive interference will occur when x = n = 4n = 0, 4 m, 8 m, 12 m...

Destructive interference will occur when x = (n + 0.5) = 4n + 2 = 2 m, 6 m, 10 m, 14 m...

When path difference is none of these, interference will be in between.

8 m from each speaker => x = 0 => Constructive interference

19 m from one speaker and 14 m from the other => x = 5 m => In between

16 m from one speaker and 24 m from the other => x = 8 m => Constructive interference

9 m from one speaker and 13 m from the other => x = 4 m => Constructive interference

12 m from one speaker and 14 m from the other => x = 2 m => Destructive interference

21 m from one speaker and 15 m from the other => x = 6 m => Destructive interference

16 m from one speaker and 13 m from the other => x = 3 m => In between

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