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Two loudspeakers are placed at either end of a gymnasium

Chapter 14, Problem 63P

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QUESTION:

Problem 63P

Two loudspeakers are placed at either end of a gymnasium both pointing toward the center of the gym and equidistant from it. The speakers emit 266-Hz sound that is in phase. An observer at the center of the gym experiences constructive interférence. How far toward either speaker must the observer walk to first experience destructive interference?

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QUESTION:

Problem 63P

Two loudspeakers are placed at either end of a gymnasium both pointing toward the center of the gym and equidistant from it. The speakers emit 266-Hz sound that is in phase. An observer at the center of the gym experiences constructive interférence. How far toward either speaker must the observer walk to first experience destructive interference?

ANSWER:

Step 1 of 5

In this case, there are two sources of sound and there is a point at the centre of both, which is equidistant from both the sources. It is given that at the midpoint of both the sources, a listener will experience constructive interference. The objective here is to find the point to which an observer should walk from the centre in order to experience a destructive interference.

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