At an open air concert, a person sits at a location that is14.00 m and 15.75 m r

Question

At an open air concert, a person sits at a location that is14.00 m and 15.75 m respectively, from speakers at each side of thestate. A musician, warming up, plays a single 494 Hz tone. Whatdoes the listener hear? and why? Take the speed of soundto be 346m/s. a. total contructive interference and a tone of twice theintensity as the sound from one speaker. b. neither total constructive nor total destructiveinterference and a tone of approximately the same intensity as thesound from one speaker alone. c. total destructive interference and no sound at all At an open air concert, a person sits at a location that is14.00 m and 15.75 m respectively, from speakers at each side of thestate. A musician, warming up, plays a single 494 Hz tone. Whatdoes the listener hear? and why? Take the speed of soundto be 346m/s. a. total contructive interference and a tone of twice theintensity as the sound from one speaker. b. neither total constructive nor total destructiveinterference and a tone of approximately the same intensity as thesound from one speaker alone. c. total destructive interference and no sound at all

Explanation / Answer

the wavelength of the tone is the speed divided by thefrequency ___ 346/494 or, .700m(approx) * the person is 20 wavelengths (14.00/.700) from onespeaker and 22.5 wavelengths (15.75/.700) from the other speaker * this means the the sounds from the two speakers will arrive1/2 wavelngth out of phase with each other * this results in answer (c), total destructiveinterference ___ the person hears no sound

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