What Is the Intensity of Sound at 123 dB?

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The intensity of sound at 123 dB can be calculated using the formula L = 10 * log(P1/P0), where P1 is the sound power and P0 is the reference power level. The user attempts to derive the intensity by manipulating logarithmic equations, aiming to express the relationship between sound levels. The intensity at 123 dB is significantly higher than that of a whisper at 20 dB, which is much quieter and has a lower intensity value. The discussion focuses on understanding the logarithmic relationship in sound intensity levels. Clarification on the calculations and logarithmic properties is sought for accurate results.
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Logarithms and Intensity---HELP ASAP!

Homework Statement


a)What is the intensity of sound at 123 dB?

b)Compare it to that of a whisper at 20 dB.



Homework Equations



something with logarithms??



The Attempt at a Solution



a) 10^123
 
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Inensity is equivalent to power and so the ratio of power is
L = 10* log * (P1/P0)

Where Log is the base 10 log ( labbled Log on your calculator)
 
so for a) I would do:
123=10*log*(P1/P0)
10^123=(P1/P0)^10
(10^123)^(1/10)=(P1/P0)

is that correct?
 

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