Why is a 100 person choir singing the same song not 100 times louder than one person?

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I suspect it’s something to do with sounds waves so have flaired as physics, but not sure?

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28 Answers

Anonymous 0 Comments

This all depends on what you mean under “louder”.

In terms of Intensity (or in terms of Sound Pressure [squared]) the sound wave would be 100 times more intense.

In terms of human perception and in terms of Sound Pressure Level logarithms come to play, so it would not be.

SPL = 10 lg ( SP^2 / SP0^2 )

So, if new SP^2 is 100 times old SP^2 then
new SPL would be

SPL_new = 10 lg[ 100 x (SP_old ^2 / SP0^2 )] = 10 lg 100 +10 lg( SP_old ^2 / SP0^2 ) = 20 + SPL_old (dB)

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