What is the intensity level of a sound with intensity 10^-3 W/m²? A) 90 dB B) 79 dB C) 30 dB D) 60 dB E) 96 dB

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Quizplus · Accepted Answer

The intensity level in decibels (dB) can be calculated using the formula: $ \text{Level (dB)} = 10 \log_{10} \left( \frac{I}{I_0} \right) $, where $I$ is the intensity of the sound and $I_0 = 10^{-12} \, \text{W/m}^2$ is the reference intensity. Plugging in $I = 10^{-3} \, \text{W/m}^2$, we get $ \text{Level} = 10 \log_{10} \left( \frac{10^{-3}}{10^{-12}} \right) = 10 \log_{10} (10^9) = 90 \, \text{dB} $.

What Is the Intensity Level of a Sound with Intensity