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Problem #4 Two identical loudspeakers are located at points A and B, 2.00m apart. They both have a frequency of 784Hz. Take the speed of

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Problem #4 Two identical loudspeakers are located at points A and B, 2.00m apart. They both have a frequency of 784Hz. Take the speed of sound in air to be 344m/s. A small microphone lies along a line perpendicular to the line connecting A and B (line BC in Figure below). (a) Taking the speakers to be at x = 0, at what values of x will there be destructive interference? (b) At what values of x will there be constructive interference? (c) If the frequency is made low enough, there will be no positions along the line BC at which destructive interference occurs. How low must the frequency be for this to be the case? A 2.00 m B C K Figure 2: Diagram of the setup of speakers and microphone

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