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. (Remember that if you have a tie, you skip some ranks.) 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 66dB. An object emitting a sound with an intensity of 70dB. Ten buzzers each producing a sound with intensity level of 62dB. Two buzzers each producing a sound with intensity level of 66dB.

Explanation / Answer

For n incoherent sources of equal loud sound ,Increase of level in dB( L) = 10 × log n
L = level difference; n = number of equal loud sound sources.
let us make a table for L

four buzzers = 66 +6.02 =72.02 dB(loudest)

one object = 70 dB (3 loudest)

Ten buzzers = 62 +10 = 72 dB (2 loudest)

2 buzzers = 66 +3.01 = 69.01 dB (quitest)

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