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Two powerful speakers, separated by 15.00 m, stand on the floor in front of the stage...

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Physics

Two powerful speakers, separated by 15.00 m, stand on the floorin front of the stage in a large amphitheater. An aisleperpendicular to the stage is directly in front of one of thespeakers and extends 50.00 m to an exit door at the back of theamphitheater. The speed of sound in air is 344 m/s.

a) If the speakers produce in-phase, coherent 440.0 Hz tones, athow many points along the aisle is the sound minimal?

b) What is the distance between the farthest such point and thedoor at the back of the aisle?

c) Suppose the coherent sound emitted from both speakers is alinear superposition of a 440.0 Hz tone and another tone withfrequency f. What is the smallest value of f so that minimal soundis heard at any point where the 440.0Hz sound is minimal?

d) At how many additional points in the aisle is the 440.0 HzHztone present but the second tone is minimal?

e) What is the distance from the closest of these points to thespeaker at the front of the aisle?

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