A sound source emits 30.0 W of sound power spread equally in all directions. What is the sound intensity level 30.0 m from the source? A)94.2 dB B)83.2 dB C)2.65 × 10^-³ dB D)2.65 × 10^-³ W E)-25.8 dB

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Quizplus · Accepted Answer

The sound intensity level (in dB) is calculated using the formula: $ L = 10 \log_{10} \left( \frac{I}{I_0} \right) $, where $ I $ is the intensity and $ I_0 = 10^{-12} \, \text{W/m}^2 $. The intensity $ I $ is $ \frac{P}{4\pi r^2} $, where $ P = 30.0 \, \text{W} $ and $ r = 30.0 \, \text{m} $. Calculating gives $ L \approx 94.2 \, \text{dB} $.

A Sound Source Emits 30