You are standing in the middle of a large room listening to a cacaphony of sound
ID: 1420948 • Letter: Y
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 of 1.0×10-5 W/m2.
100 buzzers each producing a sound with intensity level of 70 dB.
An object emitting a sound with an intensity level of 100 dB.
An object emitting a sound with an intensity level of 20dB.
Two buzzers each producing a sound with intensity level of 90 dB.
Explanation / Answer
here
1.
An object emitting a sound with an intensity of 1.0×10-5 W/m2
for this Intensity I1 = 1 e -5 W/m^2
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2.
100 buzzers each producing a sound with intensity level of 70 dB.
intensity level B = 10 dB log(I/Io)
log(I/Io) = 70/10 = 7
I/Io = 10^7
I = 10^7 * 1*10^-12
I2 = 1*10^-5 W/m^2 for each buzzer
for 100 buzzers, I2 = 1*10^-3 W/m^2
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3.
An object emitting a sound with an intensity level of 100 dB.
intensity level B = 10 dB log(I/Io)
log(I/Io) = 100/10 = 10
I/Io = 10^10
I = 10^10 * 1*10^-12
I3 = 1*10^-2 W/m^2
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4. An object emitting a sound with an intensity level of 20dB.
intensity level B = 10 dB log(I/Io)
log(I/Io) = 20/10 = 2
I/Io = 10^2
I = 10^2 * 1*10^-12
I4 = 1*10^-10 W/m^2
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5.
Two buzzers each producing a sound with intensity level of 90 dB.
intensity level B = 90 dB log(I/Io)
log(I/Io) = 90/10 = 9
I/Io = 10^9
I = 10^9* 1*10^-12
I5 = 1*10^-3 W/m^2 for each buzzzer
for 2 buzzers I5 = 2*10^-3 W/m^2
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so the order is I3> I5 > I2 > I1 > I4 (Answer)
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