You sit in the center of a room that includes an amazing surround-sound system, consisting of 10 speakers (all of which are equidistant from your ears). You play a tone from all 10 speakers at once, but they have randomly-distributed relative phases, so you hear the same volume as if you turned up the power coming through a single speaker by a factor of 10. From this arrangement you hear the tone at an intensity level of 35 dB. Next you reconfigure the speakers so that they play the tones in phase. If the volume of each speaker is the same as before, what is the decibel level of this new sound?

University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter17: Sound
Section: Chapter Questions
Problem 72P: Loudspeakers can produce intense sounds with surprisingly small energy input in spite of their low...
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You sit in the center of a room that includes an amazing surround-sound system, consisting
of 10 speakers (all of which are equidistant from your ears). You play a tone from all 10 speakers
at once, but they have randomly-distributed relative phases, so you hear the same volume as if
you turned up the power coming through a single speaker by a factor of 10. From this arrangement
you hear the tone at an intensity level of 35 dB. Next you reconfigure the speakers so that they
play the tones in phase. If the volume of each speaker is the same as before, what is the decibel
level of this new sound?  

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