2.1StandingWaves_002

2.1StandingWaves_002 - Interference of sound waves Sound...

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1 Sound II. Interference of sound waves Standing waves Complex sound waves Interference of sound waves Constructive Interference Destructive Interference Two sound waves superimposed Noise canceling headphones Noise Anti-noise Wave 1 Wave 2 Interference due to path difference path difference = δ =r 2 –r 1 In phase at x=0 Condition for constructive interference m δ λ = Condition for destructive interference 1 () 2 m =+ m = 0 + 1, + 2,…. r 1 r 2 Superposition of waves at A shows interference due to path differences A where m is any integer Wave 1 Wave 2 Interference δ =0 Sum Constructive Interference λ Interference δ = 2 λ Destructive Interference
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2 Interference δ = λ Constructive Interference Interference of sound waves Phase shift due to path differences x When r 2 –r 1 =m λ Constructive Interference When r 2 –r 1 = (m+½) λ Destructive Interference m is any integer An experiment is performed to measure the speed of sound using by separating the sound from a single source along two separate paths with different path lengths and combining them at the detector. For a frequency of 3.0 kHz (assume v sound =340 m/s); A)What would the smallest path difference be to observe a
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2.1StandingWaves_002 - Interference of sound waves Sound...

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