1) The Threshold of Pain is known to be at an intensity of 1 x 10 0 W/m 2 or sim

Question

1)       The Threshold of Pain is known to be at an intensity of 1 x 100 W/m2 or simply 1W/m2.  a) Calculate the corresponding decibel level.  b)  Calculate the intensity of a sound  wave that is 3 decibels louder than the Threshold of Pain.  c) Calculate the intensity of a sound that is 6 decibels louder than The Threshold of Pain.  d) Describe the pattern that you  notice, in your own words.    

Hints:  

A:  Be clear on the difference between calculating intensity and intensity level.

B:  If we have a whisper at 40 db for example, then 3 decibels louder is 43 db, and 6 decibels louder is 46 db

C:  When looking for the pattern, compare 1W/m2 to BOTH of your next two answers.  

Explanation / Answer

the intensity is I1 = 1 W/m^2

we know from the relation

L = 10 x log(I1/Io) dB

where Io = 10^-12 W/m^2

solving the above equation we get the intensity in dB

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