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Sound Intensity Level Ratio

  • Thread starter tbontom
  • Start date
6
0
[SOLVED] Sound Intensity Level Ratio

1. Homework Statement

The sound intensity level at a rock concert is 110 dB, while that at a jazz fest is 100 dB. Determine the ratio of the sound intensity at the rock concert to that at the jazz fest.


2. Homework Equations
B=(10dB) log(I/Io)

3. The Attempt at a Solution

110=(10db) log (I/1.0*10^-12)
100=(10db) log (I/1.0*10^-12)

dont know where to go from here
 

Answers and Replies

cristo
Staff Emeritus
Science Advisor
8,056
72
Ok, well let I_0=10^-12, then you have two expressions (taking log base 10)

[tex]110=10\log\left(\frac{I_1}{I_0}\right) \hskip1cm 100=10\log\left(\frac{I_2}{I_0}\right)[/tex] and you want to find the ratio [tex]\frac{I_1}{I_2}[/tex]. So, you need to perform some algebra on these expressions to make I_1 and I_2 the subject of the equations, respectively. Try dividing both sides of each equation by 10. After that you will need to take the inverse log of each side: how would you do this?
 
6
0
That was my problem, I forgot you could do antilogs. thanks you so much
 
cristo
Staff Emeritus
Science Advisor
8,056
72

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