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 level of 100 dB. An object emitting a sound with an intensity of 1.0 times 10^-5 W/m^2. Two buzzers each producing a sound with intensity level of 90 dB. An object emitting a sound with an intensity level of 110 dB.

Explanation / Answer

1. Sound intensity level = 100 dB

2. I = 1 x 10^-5 W/m^2

SIL = 10 log(I / 10^-12)

= 10 log(10^-5 / 10^-12)

= 70 dB

3. 90 = log ( I / 10^-12)

I = 10^-3 W/m^2

there are two sources so,

I'= 2I = 2 x 10^-3 W/m^2

SIL = 10 log(2 x10^-3 / 10^-12)

= 93 dB

4. SIL = 110 dB

Ans: 4 > 1 > 3 > 2

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