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 T107.19 UnitsH2 (b) NumberT0.05 Units INo units (c) Number 535.95 Units (No units (d) Numbel 214.375 Units THz (e) NumberT428.75 Units INo units (f) NumberT643.125 Units INo units
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 T107.19 UnitsH2 (b) NumberT0.05 Units INo units (c) Number 535.95 Units (No units (d) Numbel 214.375 Units THz (e) NumberT428.75 Units INo units (f) NumberT643.125 Units INo units
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Transcribed Image Text:Two loudspeakers are located 2.81m 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, 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
VE
es
(a) Number
T107.19
Units
THz
ste
ig
(b) Number
0.05
Units INo units
(c) Number
535.95
Units INo units
(d) Numbe
T214.375
Units
THz
(e) NumberT428.75
Units No units
(f) Number
643.125
Units INo units
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