A person speaking normally produces a sound intensity of 40 dB at a distance of 1m.If the threshold intensity for reasonable audibility is 20 dB, the maximum distance at which he can be heard clearly is?
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Given A person speaking normally produces a sound intensity of 40 dB at a distance of 1m.If the threshold intensity for reasonable audibility is 20 dB, the maximum distance at which he can be heard clearly is?
We know that I is proportional to 1 / r^2
So intensity varies with distance
I 1 / I2 = r2^2 / r1^2
Now 10 log 10 I1 / Io = 40 db
So I1 = Io x 10 ^4 w/m^2
I2 = Io x 10^2 w/m^2
r1 = 1 m
r2^2 / 1^2 = 10^4 / 10^2
r2^2 = 100
r2 = 10 m
So maximum distance is 10 m
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