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Loudness

What is the i...

Question

What is the intensity of a 60 dB sound ? Answer in terms of $10^{- 6} W / m^{2}$ .

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Solution

We have loudness of sound ,
$L = l o g (I / I_{0})$ ,
or $(I / I_{0}) = 10^{L}$ ,
given $L = 60 d B = 6 b e l$ , and we know , $I_{0} = 10^{- 12} W / m^{2}$ ,
therefore ,
$I / I_{0} = 10^{6}$ ,
or $I = 10^{- 12} \times 10^{6} = 10^{- 6} W / m^{2}$

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