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Two acoustical waves are incident on one point after traversing different paths. The two waves are...

  1. Two acoustical waves are incident on one point after traversing different paths. The two waves are characterized by the following amplitude variations

p1=0.5sin( 2πx1-684πt )Pa,

p2=0.5sin( 2πx2-684πt+α )Pa,

  1. Derive an expression for the resultant pressure.

  2. What is the frequency and wavelength of these two waves?

  3. For t=2.924 ms, what are the resultant amplitudes for x1=x2=1 m, for α=0, α=4, and α=π/2 radians?

  4. For t=2.924 ms, what are the resultant amplitudes when x1=1.25 m and x2=1 m, for α=0, α=π/4, and α=π/2 radians?

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