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. Ten buzzers each producing a sound with intensity level of 80dB. An object emitting a sound with an intensity level of 90dB. One hundred buzzers each producing a sound with intensity level of 70dB. Four buzzers each producing a sound with intensity level of 84dB. Two buzzers each producing a sound with intensity level of 87dB.

Explanation / Answer

1) Ten buzzers each producing a sound with intensity level of 80 dB.
10*80 dB = 80+10log10 = 80+10 = 90 dB

2) An object emitting a sound with an intensity level of 90 dB.
1*90dB = 90 dB

3) One hundred buzzers each producing a sound with intensity level of 70dB.
100*70 dB = 70+10log100 = 70+20 = 90 dB

4) Four buzzers each producing a sound with intensity level of 84 dB.
4*84 dB = 84+10log4 = 84+6 = 90 dB

5) Two buzzers each producing a sound with intensity level of 87 dB.
2*87dB = 87+10log2 = 87+3 = 90 dB

All sounds have equal intensity (90 dB)

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