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A pair of loudspeakers on two sides of a stage are
Chapter 12, Problem 39E(choose chapter or problem)
A pair of loudspeakers on two sides of a stage are emitting identical pure tones (tones of a fixed frequency and fixed wavelength in air). When you stand in the center aisle, equally distant from the two speakers, you hear the sound loud and clear. Why does the intensity of the sound diminish considerably when you step to one side? (? uggestion:? Use a diagram to make your point.)
Questions & Answers
QUESTION:
A pair of loudspeakers on two sides of a stage are emitting identical pure tones (tones of a fixed frequency and fixed wavelength in air). When you stand in the center aisle, equally distant from the two speakers, you hear the sound loud and clear. Why does the intensity of the sound diminish considerably when you step to one side? (? uggestion:? Use a diagram to make your point.)
ANSWER:Solution 39E STEP 1: Here is an image of two waves coming from two opposite sides and reach the middle point where you are standing. Now you can hear the sounds very clearly because of the constructive interference by the two waves. As they are at the same distance from your position, their phase difference is zero and when they meet, they create constructive interference. By this the amplitude of the final wave gets increased and you hear a louder