How Does Distance and Quantity Affect Sound Intensity?

AI Thread Summary
The discussion revolves around calculating the sound intensity of 100 alarm clocks, each emitting 60 dB at 1 meter, when placed 100 meters away. The intensity formula I1/I2 = R2^2/R1^2 is applied to relate the distances and intensities. The user attempts to convert the 60 dB into a power level of 10^-6 W/m^2 for calculations. It is concluded that the presence of 100 clocks increases the intensity by a factor of 100, but the impact of distance on sound intensity must also be considered. Ultimately, understanding both distance and quantity is crucial for accurate sound intensity calculations.
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Homework Statement



An alarm clock makes a sound that has intensity 60 dB at a distance
of 1 m. What is the sound intensity of 100 such clocks which are all
100m away?
(A) 0.6 dB (B) 40 dB (C) 50 dB (D) 60 dB


Homework Equations



I1/I2 = R2^2/R1^2

The Attempt at a Solution



If it works to make a ratio...

60 dB = 10^-6 W/m^2

10^-6/X = 100^2/1^2

How do the 100 clocks factor into this equation?

Thank you!
 
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I think the 100 clocks just increases the intensity by 100x.
 
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