Two loudspeakers are located 2.81 m apart on an outdoor stage. A listener is 24.5 m from one and 26.1 m from the other During the sound check, a signal generator drives the two speakers in phase with the same amplitude and frequency. The transmitted frequency is swept through the audible range (20 Hz to 20 kHz). (a) What is the lowest frequency fmin,1 that gives minimum signal (destructive interference) at the listener's location? By what number must fmin,1 be multiplied to get (b) the second lowest frequency fmin.2 that gives minimum signal and (c) the third lowest frequency fmin,3 that gives minimum signal? (d) What is the lowest frequency fmax,1 that gives maximum signal (constructive interference) at the listener's location? By what number must fmax.1 be multiplied to get (e) the second lowest frequency fmax.2 that gives maximum signal and (f) the third lowest frequency fmax.3 that gives maximum signal? (Take the speed of sound to be 343 m/s.) (a) Number 1 Units (b) Number *2 Units (c) Number *3 Units (d) Number 1-4 Units (e) Number Units (f) Number Units

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
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Two loudspeakers are located 2.81 m apart on an outdoor stage. A listener is 24.5 m from one and 26.1 m from the other.
During the sound check, a signal generator drives the two speakers in phase with the same amplitude and frequency. The
transmitted frequency is swept through the audible range (20 Hz to 20 kHz). (a) What is the lowest frequency fmin,1 that
gives minimum signal (destructive interference) at the listener's location? By what number must fmin,1 be multiplied to get
(b) the second lowest frequency fmin.2 that gives minimum signal and (c) the third lowest frequency fmin,3 that gives
minimum signal? (d) What is the lowest frequency fmax,1 that gives maximum signal (constructive interference) at the
listener's location? By what number must fmax.1 be multiplied to get (e) the second lowest frequency fmax. 2 that gives
maximum signal and (f) the third lowest frequency fmax.3 that gives maximum signal? (Take the speed of sound to be 343
m/s.)
(a) Number
+1 Units
(b) Number
*2
Units
(c) Number
*3
Units
1.
(d) Number
1-4 Units
(e) Number
Units
(f) Number
Units
Transcribed Image Text:Two loudspeakers are located 2.81 m apart on an outdoor stage. A listener is 24.5 m from one and 26.1 m from the other. During the sound check, a signal generator drives the two speakers in phase with the same amplitude and frequency. The transmitted frequency is swept through the audible range (20 Hz to 20 kHz). (a) What is the lowest frequency fmin,1 that gives minimum signal (destructive interference) at the listener's location? By what number must fmin,1 be multiplied to get (b) the second lowest frequency fmin.2 that gives minimum signal and (c) the third lowest frequency fmin,3 that gives minimum signal? (d) What is the lowest frequency fmax,1 that gives maximum signal (constructive interference) at the listener's location? By what number must fmax.1 be multiplied to get (e) the second lowest frequency fmax. 2 that gives maximum signal and (f) the third lowest frequency fmax.3 that gives maximum signal? (Take the speed of sound to be 343 m/s.) (a) Number +1 Units (b) Number *2 Units (c) Number *3 Units 1. (d) Number 1-4 Units (e) Number Units (f) Number Units
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