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Q.

A point source of power 50π watts is producing sound waves of frequency 1875 Hz. The velocity of sound is 330m/s, atmospheric pressure is 1.0 × 105 Nm-2, density of air is 1.0 kgm-3. Then pressure amplitude at , r = 330 m from the point source is (using π = 227):

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a

5 Nm-2

b

10 Nm-2

c

15 Nm-2

d

20 Nm-2

answer is A.

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Detailed Solution

I = P022ρV ⇒P4πr2 = P022ρV; where P,P0,V are power, pressure amplitude and velocity respectivley⇒P0 = PρV2πr2 = 50π×1×3302π×330 = 5 N/m2
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