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Destructive interference Problem

  1. Nov 21, 2013 #1
    1. The problem statement, all variables and given/known data

    two point sources A and B generate sinusoidal waves in a water surface. The sources are 6.0 cm apart and vibrate in phase with the same amplitude and frequency. Points of destructive interference are observed on AB, the line joining the two sources. the two nearest such points to source A occur 0.6 cm and 2.2 cm from it. determine the wavelength of the water waves. How many points of destructive interference are there in total along the line AB

    2. Relevant equations

    y1= Asin(kx1-ωt+ [itex]\Phi[/itex] )

    y2= Asin(kx2-ωt+ [itex]\Phi[/itex] )

    Superposition Principle : y= y1+y2

    y= 2A[sin(kx1+kx2/2-ωt+ [itex]\Phi[/itex] )cos(kx1-kx2/2)
    3. The attempt at a solution

    Have no idea. I've been at it for ages..my attempts have conjured up nothing.
     
  2. jcsd
  3. Nov 21, 2013 #2

    berkeman

    User Avatar

    Staff: Mentor

    From a PM exchange -- Patrick has made progress on this question...

     
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