kileycchaffin kileycchaffin
  • 25-11-2019
  • Physics
contestada

Find the intensity of a 55 dB sound given I 0=10^-12W/m^2
2.23x10^-6W/m^2
1.01x10^-7W/m^2
3.16x10^-7W/m^2
5.43x10^-6W/m^2

Respuesta :

robert6121 robert6121
  • 01-12-2019

Answer:

3.16 × [tex]10^{-7}[/tex] W/[tex]m^{2}[/tex]

Explanation:

β(dB)=10 × [tex]log_{10}(\frac{I}{I_{0} })[/tex]

[tex]I_{0}[/tex]=[tex]10^{-12}[/tex] W/[tex]m^{2}[/tex]

β=55 dB

Therefore plugging into the equation the values,

55=10 [tex]log_{10}(\frac{I}{ [tex]10^{-12}[/tex]})[/tex]

5.5= [tex]log_{10}(\frac{I}{ [tex]10^{-12}[/tex]})[/tex]

[tex]10^{5.5}[/tex]= [tex]\frac{I}{10^{-12} }[/tex]

316227.76×[tex]10^{-12}[/tex]= I

I= 3.16 × [tex]10^{-7}[/tex] W/[tex]m^{2}[/tex]

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