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What does P exactly stand for ? Explain the answer  
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Asked by Supersanny18 | 19 Dec, 2019, 10:03: PM
answered-by-expert Expert Answer
P = 0.01 cos(1000t -3x)   ..................(1)
 
Above eqn. represents the pressure variation when longitudinal sound wave travels in air
 
P stands for pressure.
 
Pressure amplitude Pmax and displacement amplitude A are related as,
 
Pmax = ρ us ω A  ...................(2)
 
where ρ is density, us is speed of sound, ω is angular velocity.
 
density of air ρ = 1.2 kg/m3
 
speed of sound us = [ B / ρ ]1/2 = [ 1.4 × 105 / 1.2 ]1/2 ≈ 342 m/s
 
Displacement amplitude A = Pmax / ( ρ us ω ) = 0.01 / ( 1.2 × 342 × 1000 ) = 2.44 × 10-8 m
Answered by Thiyagarajan K | 20 Dec, 2019, 08:30: AM

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