A) 200 dB
B) 200\[\pi \] dB
C) 120 dB
D) 120\[\pi \]dB
Correct Answer: C
Solution :
Intensity of sound, \[I=\frac{P}{A}\] \[=\frac{200\pi }{2\pi \times {{(10)}^{2}}}\] \[=1\,W/{{m}^{2}}\] \[\therefore \]Loudness, \[L=10\text{ }{{\log }_{10}}\frac{I}{{{I}_{0}}}\] \[=10\text{ }{{\log }_{10}}\frac{1}{{{10}^{-12}}}\] \[=10\text{ }{{\log }_{10}}{{10}^{12}}\] \[=120\,dB.\]
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