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Q.

If the maximum tolerable pressure variation in sound is 28 Pa at 1000 Hz. Find the amplitude of displacement (in μm). Given: Bulk modulus of medium B=1.4×105 Pa, density of the medium ρ=1.20 kg/m3 and speed of sound = 314 m/s.

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Detailed Solution

The displacement amplitude is A=ΔpmKBwhere K=2πλ=2πfvor A=v2πf⋅ΔpmB=3142×3.14×1000×281.4×105=1.0×10−5 m=10 μm
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