here are two speakers at the front of the room. Each is outputting a 250Hz pure
ID: 3896460 • Letter: H
Question
here are two speakers at the front of the room. Each is outputting a 250Hz pure tone. For each of the following situations, will you hear constructive interference (a loud noise) or destructive interference (soft or no noise). ? represents the wavelength of the 250Hz tone.
1.You are 3.5? away from speaker A; 3? away from speaker B and at the speakers the waves are exactly out of phase.
2. You are 6? away from speaker A; 5? away from speaker B and at the speakers the waves are exactly out of phase.
3.You are 3? away from speaker A; 4? away from speaker B and at the speakers the waves are exactly in phase.
4.You are 3? away from speaker A; 2.5? away from speaker B and at the speakers the waves are exactly in phase.
constructive or destructive?
Explanation / Answer
If the waves are in phase, to have constructive interference, the difference in your distances from each speaker must be an integer number of wavelengths. That way, when they reach you, they'll be "peaking and troughing" together. If they're exactly out of phase, an integer difference will result in destructive interference because one will be "peaking" and the other "troughing" when they reach you.
You are 3.5? away from speaker A; 3? away from speaker B and at the speakers the waves are exactly out of phase. Constructive. Difference is 0.5?, and sources are exactly out of phase.
You are 6? away from speaker A; 5? away from speaker B and at the speakers the waves are exactly in phase. Destructive. Difference is 1?, and sources are exactly in phase.
You are 3? away from speaker A; 4? away from speaker B and at the speakers the waves are exactly out of phase. Constructive. Difference is 1?, and sources sources are exactly in phase.
You are 3? away from speaker A; 2.5? away from speaker B and at the speakers the waves are exactly in phase. Destructive. Difference is 1?, and sources are exactly out of phase.
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