everyone at a party is talking equally loudly. if only one person were talking, the sound level would be 72 dB. find the sound level when all 38 people are talking. answer in units of db

Respuesta :

If the sound level one person talks is 72 dB, the sound level when all 38 people are talking will be 87.8 dB.

Sound level difference is given by the expression, [tex]\Delta L=10log n[/tex], where n is the number of people.

Therefore, the difference in sound level in the given case will be

[tex]\Delta L=10log 38[/tex]

[tex]\Delta L=15.8 dB[/tex]

The final loudness will be the resultant of the initial loudness and the difference.

Final loudness = 72 + 15.8

Final loudness = 87.8 dB

Therefore, if the sound level one person talks is 72 dB, the sound level when all 38 people are talking will be 87.8 dB.

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