You are standing in the middle of a large room listening to a cacaphony of sound
ID: 1598774 • Letter: Y
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. (Remember that if you have a tie, you skip some ranks.) 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 62dB.
Two buzzers each producing a sound with intensity level of 66dB.
An object emitting a sound with an intensity of 70dB.
One hundred buzzers each producing a sound with intensity level of 48dB.
Explanation / Answer
B = 10*log(I/I0)
total intensity Btot = 10*log(n*I/I0) = 10*logn + 10*log(I/I0)
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Ten buzzers each producing a sound with intensity level of 62dB
Btot = 10*log10 + 62 = 72 dB
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Two buzzers each producing a sound with intensity level of 66dB
Btot = 10*log2 + 66 = 3.01 + 66 = 69.01 dB
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An object emitting a sound with an intensity of 70dB
Btot = 70 dB
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One hundred buzzers each producing a sound with intensity level of 48dB
Btot = 10*log100 + 48 = 20 + 48 = 68 dB
ranking
1) Ten buzzers each producing a sound with intensity level of 62dB.
2) An object emitting a sound with an intensity of 70dB
3) Two buzzers each producing a sound with intensity level of 66dB
4) One hundred buzzers each producing a sound with intensity level of 48dB.
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