As a graduate student, you are teaching your first physics lecture while the pro

Question

As a graduate student, you are teaching your first physics lecture while the professor is away. To demonstrate interference of sound waves, you have set up two speakers that are driven coherently and in phase by the same frequency generator on the front desk. Each speaker generates sound with a 2.4-m wavelength. One student in the front row says she hears a very low volume (loudness) of the sound from the speakers compared to the volume of the sound she hears when only one speaker is generating sound. What could be the difference in the distance between her and each of the two speakers? is it 2.4m?

Explanation / Answer

Because the sound reaching her from the two speakers is

very low, the sound waves must be interfering destructively (or nearly

destructively) and the difference in distance between her position and the two

speakers must be an odd multiple of a half wavelength. That is, it must be 1.2 m,

3.6 m, 6.0 m, etc.

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