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Question
A source of sound emits 200π W power which is uniformly distributed over a sphere of radius 10  m. What is the loudness of sound on the surface of the sphere?
Options:
A .  70 dB
B .  107 dB
C .  80 dB
D .  117 dB
Answer: Option D
:
D
Intensity,
I=PA=200π4π×(10)2=0.5W/m2
Loudness = 10log10II0=10log100.51012
=10log10(5×1011)
=10log10(10122)
= 117 dB

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