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How Do We Hear

A sound has a...

Question

A sound has an intensity of 2x10-8W/m2. Its intensity level in decibels is (log102=0.3)

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Solution

Dear Student ,
$d B = 10 \log (\frac{I}{1 \times 10^{- 12} W / m^{2}}) = 10 \log (\frac{2 \times 10^{- 8}}{1 \times 10^{- 12} W / m^{2}}) = 10 \log 2 + 40 \log 10 = (10 \times 0 \cdot 3) + 40 = 40 + 3 = 43 d B$
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