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.

An object emitting a sound with an intensity of 70dB.

Ten buzzers each producing a sound with intensity level of 58dB.

Two buzzers each producing a sound with intensity level of 66dB.

Four buzzers each producing a sound with intensity level of 66dB.

Explanation / Answer

1.) Ten buzzers each producing a sound with intensity level of 62 dB.
10*62 dB = 62+10log10 = 62+10 = 72 dB

2.) Two buzzers each producing a sound with intensity level of 68 dB.
2*68dB = 68+10log2 = 68+3 = 71 dB

3.) One hundred buzzers each producing a sound with intensity level of 48dB.
100*48 dB = 48+10log100 = 48+20 = 68 dB

4.) An object emitting a sound with an intensity level of 70 dB.
1*70dB = 70 dB

we can see that (3) <(4) <(2)<(1)

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