A point source of power 50πW is producing sound waves of frequency 1876Hz. What is the pressure amplitude at a distance √330m from the point source?
[Speed of sound is 330m/s and density of air is 1kg/m3]
A
5N/m2
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B
6N/m2
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C
7N/m2
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D
8N/m2
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Solution
The correct option is A5N/m2 Intensity at distance r, ⇒I=P4πr2 .......(1)
Also, I=ΔPo22ρv ..........(2)
From (1) and (2), ΔPo22ρv=P4πr2 ⇒ΔPo=√Pρv2πr2 ⇒ΔPo=√50π×1×3302π×330 ⇒ΔPo=5N/m2