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 10dB. An object emitting a sound with an intensity level of 60 dB. An object emitting a sound with an intensity of 1.0×10-9 W/m2. Two buzzers each producing a sound with intensity level of 50 dB.

Explanation / Answer

1. SL = 10 dB  

2. SL = 60 dB  

3. I = 1 x 10^-9 W/m^2

SL = 10 log(I / I0) = 10 log(1 x 10^-9 / 10^-12)

SL = 30 dB  

4. for 50 dB , 50 = 10 log(I / I0)

when two buzzers then I' = 2 I

SL' = 10 log(2 I / I0)

SL' = 10 log( I / I0) + 10 log(2)

SL' = 50 + 3 = 53 dB  

Ans: 2 > 4 > 3 > 1

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