You are standing in the middle of a large room listening to a cacaphony of sound

Question

You are standing in the middle of a large room listening to a cacaphony of sounds. Rank the intensity level of the sounds from each source (1=loudest, 2=next loudest, ..) Consider all objects to be right next to you. If two values are within 0.1 dB from each other, consider them to be the same. Four buzzers each producing a sound with intensity level of 84dB. One hundred buzzers each producing a sound with intensity level of 70dB. Two buzzers each producing a sound with intensity level of 87dB. An object emitting a sound with an intensity level of 90dB. Ten buzzers each producing a sound with intensity level of 80dB.

Explanation / Answer

For buzzers each producing sound with intensity level of 84 dB

I(tot) = 84 + 10 log 4 = 90 dB

One hundres buzzers each producing a sound intensity of 70 dB

I(tot) = 70 + 10 log 100 = 70 + 20 = 90 dB

Two buzzers each producing sound with inesity 87 dB

I(tot) = 87 + 10 log 2 = 87 + 3 = 90 dB

An object emitting a sound with intensity 90 dB

I(tot) = 90 dB

Ten buzzers producing an intensity level of 80 dB

I(tot) = 80 + 10 log 10 = 80 + 10 = 90 dB

ALL SOURCES HAVE GOT THE SAME INTENSITY LEVEL OF 90 dB.

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