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

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

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

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

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

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

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

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Expert Solution

genius_generous answered 1 year ago

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