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Suppose that a single guitar player makes noise at 70 dB. (a) If two guitar players play at the same time, what is the noise level in dB? What is the sound intensity in W/m2 ?

Answer :

Answer:

Explanation:

Given

For single guitar noise level [tex]SL=70\ dB[/tex]

Intensity of sound

Sound level[tex]=10\log (\frac{I}{I_0})[/tex]

where I=Intensity of sound Produced

[tex]I_0=[/tex]Human threshold frequency [tex](10^{-12}\ W/m^2)[/tex]

[tex]70=10\log (\frac{I}{10^{-12}})[/tex]

[tex]I=10^{-12}\times 10^7[/tex]

[tex]I=10^{-5}\ W/m^2[/tex]

For 2 guitars

[tex]I'=2I=2\times 10^{-5}\ W/m^2[/tex]

[tex]SL=10\log (\frac{I}{I_0})[/tex]

[tex]SL=10\log (\frac{2\times 10^{-5}}{10^{-12}})[/tex]

[tex]SL=10(7+\log (2))[/tex]

[tex]SL=73.01\ dB[/tex]

                 

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