Two loudspeakers are located 4.17 m apart on an outdoor stage. A listener is 21.7 m from one and 23.2 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 114 Units Hz (b) Number 3 Units no units (c) Number 5 no units Units (d) Number Units Hz (e) Number no units Units (f) Number Units | no units

Physics for Scientists and Engineers, Technology Update (No access codes included)
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Chapter17: Sound Waves
Section: Chapter Questions
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Two loudspeakers are located 4.17 m apart on an outdoor stage. A listener is 21.7 m from one and 23.2 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 114
Units Hz
(b) Number
3
no units
Units
(c) Number
no units
Units
(d) Number
Units Hz
(e) Number
Units no units
(f) Number
Units | no units
Transcribed Image Text:Two loudspeakers are located 4.17 m apart on an outdoor stage. A listener is 21.7 m from one and 23.2 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 114 Units Hz (b) Number 3 no units Units (c) Number no units Units (d) Number Units Hz (e) Number Units no units (f) Number Units | no units
Expert Solution
Step 1

Given:

The distance between the loudspeakers is 4.17 m.

The distance of the listener from the first loudspeaker is 21.7 m.

The distance of the listener from the second loudspeaker is 23.2 m.

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