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Question

A point source of power 50π W is producing sound waves of frequency 1876 Hz. What is the pressure amplitude at a distance 330 m from the point source?
[Speed of sound is 330 m/s and density of air is 1 kg/m3]

A
5 N/m2
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B
6 N/m2
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C
7 N/m2
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D
8 N/m2
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Solution

The correct option is A 5 N/m2
Intensity at distance r,
I=P4πr2 .......(1)
Also,
I=ΔPo22ρv ..........(2)
From (1) and (2),
ΔPo22ρv=P4πr2
ΔPo=Pρv2πr2
ΔPo=50 π×1×3302π×330
ΔPo=5 N/m2

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