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A source of sound emits 200piW power whi...

A source of sound emits 200`piW` power which is uniformly distributed over a sphere of radius 10 m. What is the loudness of sound on the surface of the sphere?

A

70 dB

B

107 dB

C

80 dB

D

117 dB

Text Solution

Verified by Experts

The correct Answer is:
D

Intensity,
`I=(P)/(A)=(200pi)/(4pixx(10)^2)=0.5(W)/(m^2)`
No. of decibels is given by
`10log_(10)=(I)/(I_0)=10log_(10)((0.5)/(10^-12))`
`=10log_(10)(5xx10^11)`
`10log_(10)((10^12)/(2))`
`=117dB`
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