Two powerful speakers, separated by 15.00 m, stand on thefloor in front of the stage in a large amphitheater. An aisle perpendicularto the stage is directly in front of one of the speakers and extends50.00 m to an exit door at the back of the amphitheater. (a) If the speakersproduce in-phase, coherent 440 Hz tones, at how many points along theaisle is the sound minimal? (b) What is the distance between the farthestsuch point and the door at the back of the aisle? (c) Suppose the coherentsound emitted from both speakers is a linear superposition of a 440 Hztone and another tone with frequency f. What is the smallest value of fso that minimal sound is heard at any point where the 440 Hz sound isminimal? (d) At how many additional points in the aisle is the 440 Hztone present but the second tone is minimal? (e) What is the distancefrom the closest of these points to the speaker at the front of the aisle?

Two powerful speakers, separated by 15.00 m, stand on thefloor in front of the stage in a large amphitheater. An aisle perpendicularto the stage is directly in front of one of the speakers and extends50.00 m to an exit door at the back of the amphitheater. (a) If the speakersproduce in-phase, coherent 440 Hz tones, at how many points along theaisle is the sound minimal? (b) What is the distance between the farthestsuch point and the door at the back of the aisle? (c) Suppose the coherentsound emitted from both speakers is a linear superposition of a 440 Hztone and another tone with frequency f. What is the smallest value of fso that minimal sound is heard at any point where the 440 Hz sound isminimal? (d) At how many additional points in the aisle is the 440 Hztone present but the second tone is minimal? (e) What is the distancefrom the closest of these points to the speaker at the front of the aisle?

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