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 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 An object emitting a sound with an intensity of 1.0x10-5 W/m2 100 buzzers each producing a sound with intensity level of 70 dB. An object emitting a sound with an intensity level of 20dB. An object emitting a sound with an intensity level of 100 dB. Two buzzers each producing a sound with intensity level of 90 dB.

Explanation / Answer

An object emitting a sound with an intensity of 1.0×10-5 W/m^2.

Thus dB level = 10 log (10^-5)/10^-12 = 70 dB

One hundred buzzers each producing a sound with intensity level of 70dB.

100*70 dB = 70+10log100 = 70+20 = 90 dB

An object emitting a sound with an intensity level of 20 dB.

1*20dB = 20 dB

An object emitting a sound with an intensity level of 100 dB.

1*100dB = 100 dB

Two buzzers each producing a sound with intensity level of 90 dB.

2*90dB = 90+10log2 = 90+3 = 93 dB

Thus the ranking:

4, 3, 5, 1, 2

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