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A Noisy Room (Ranking) You are standing in the middle of a large room istening t

ID: 1784045 • Letter: A

Question

A Noisy Room (Ranking) You are standing in the middle of a large room istening to a cacaphony of sounds. Rank the intensity of the sounds from each sounce (1-loudest, 2- nest loudest,..) Consider all objects to be iight est to yow values are within 0.1 dl from each other, consider them to be the same An object emitting a sound with an intensity level of 10de Two buzzers each producing a sound with intensity level of 20 dn An object emiting a sound with an intensity level of 90 100 buzzers each producing a sound with intensity level of 60 dR An object emitting a sound with an intensity of 1.0x10 /

Explanation / Answer

Two buzzers each producing a sound with intensity level of 70 dB.
10 log (2 x (10^7)) = 73.01 dB

100 buzzers each producing a sound with intensity level of 60 dB.
10 log (100 x (10^6)) = 80 dB

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

Intensity level = 10*log(Io/I) = 10*log(10^-5/10^-12) = 70 dB

So the sequence is

Loudest: An object emitting a sound with an intensity level of 90 dB

100 buzzers each producing a sound with intensity level of 60 dB

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

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

Quietest: An object emitting a sound with an intensity level of 10 dB

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