When i stand halfway between two speakers, with one on my left and one on my right, a musical note from the speakers gives me constructive interference. how far to my left should i move to obtain destructive interference?

B. Half a wavelength

Explanation:

When i stand halfway between two speakers, with one on my left and one on my right, a musical note from the speakers gives me constructive interference. how far to my left should i move to obtain destructive interference?

a. One-fourth of a wavelength

b. Half a wavelength

c. One wavelength

d. One and half a wavelengths

e. Two wavelengths

Destructive interference occurs when the right speaker is half a wavelength further away than the left. Let "d" represents distance from each speaker to the me, the listener. To achieve destructive interference, I would have to calculate the distance in terms of wavelength as thus:

(d + wavelength/4) - (d - wavelength/4) = half a wavelength/4

Put in a different term, the path difference must be half a wavelength. Whatever that amount is, you can achieve this path difference by moving half that amount.

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