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Question

Due to a point isotropic sonic source, loudness at a point is L = 60 dB. If density of air is ρ=(1511)kg/m3 and velocity of sound in air is v = 330 m/s, the pressure oscillation amplitude at the point of observation is [I0=1012 W/m2]

A
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Solution

The correct option is B
60 dB=10 dB log II0
I=(106×1012) W/m2=106 W/m2
[I0=1012 W/m2]
I=(ΔPm)22pv
Where ρ=1511 kg/m3,v=330 m/s
(ΔPm)2=2ρvl=2×1511×330×106
ΔPm=0.03 N/m2

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