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You are standing in the middle of a large room listening to a cacaphony of sound

ID: 1431083 • 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. If two values are within 0.1 dB from each other, consider them to be the same.
1 2 3 4 5  Two buzzers each producing a sound with intensity level of 67dB.
1 2 3 4 5  An object emitting a sound with an intensity level of 70dB.
1 2 3 4 5  Ten buzzers each producing a sound with intensity level of 60dB.
1 2 3 4 5  One hundred buzzers each producing a sound with intensity level of 50dB.
1 2 3 4 5  Four buzzers each producing a sound with intensity level of 64dB.

Explanation / Answer


B1 = 10*log(I/Io)


67 = 10*log(I/Io)


I = Io*10^6.7

I1 = 2*I = 10023744.7*Io

++++++++++++++++


B2 = 10*log(I/Io)


70 = 10*log(I/Io)


I = Io*10^7

I2 = I = 10^7*Io


__________________

B3 = 10*log(I/Io)


60 = 10*log(I/Io)


I = Io*10^6

I3 = 10*I = 10^7*Io

__________________________


B4 = 10*log(I/Io)


50 = 10*log(I/Io)


I = Io*10^5

I4 = 100*I = 10^7*Io

___________________________


B5 = 10*log(I/Io)


64 = 10*log(I/Io)


I = Io*10^6.4

I5 = 4*I


I5 = 10047545.7260383292


2 = 3 = 4 < 1 < 4

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