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Questions  

A small speaker delivers 2 W of audio output at what distance from the speaker will one detect 120 dB  intensity sound (Given reference intensity  = 10-12 W/m2)

a
10 cm
b
30 cm
c
40 cm
d
20 cm

detailed solution

Correct option is C

Loudness of sound is given by  dB=10logI/I0 ⇒120=10logI/I0 ⇒120=10logI×1012 ∴I=1 W/m2   Also , I=P/4πr2 ⇒I=24πr2 ⇒r2=12π ⇒r=12πm=0.399m  ⇒r =40 cm

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