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A source of sound emits 400 pi W power which is uniformly distributed over a sphere of 10m radius. What is the loudness of sound on the surface of sphere

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Intensity is given by:

\begin{aligned} &I=\frac{W}{4 \pi r^{2}}\\ &\mathrm{I}=\frac{200}{4 \pi \times 100}=0.159 \mathrm{W} / \mathrm{m}^{2}\\ &\text { In terms of decibels, } \mathrm{I}=10 \log _{10} \mathrm{I}+120 \mathrm{dB}\\ &\mathrm{I}=112 \mathrm{dB} \end{aligned}

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Satyajeet Kumar

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