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Resultant amplitude for waves of different frequencies?

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  1. Dec 8, 2016 #1
    1. The problem statement, all variables and given/known data

    Two superimposing waves are represented by equations
    y1= 2sin 2π(10t – 0.4x)

    y2= 4sin 2π(20t – 0.8x)

    Find the ratio of Imax and Imin. Ans is (25:9)

    2. Relevant equations


    3. The attempt at a solution
    I know that intensity is proportional to the square of amplitude and

    maximum amplitude = a1 + a2

    minimum amplitude = a1 - a2

    but these equations are only applicable for waves with same frequency. so how do I proceed ? Thanks in advance!
     
  2. jcsd
  3. Dec 8, 2016 #2

    haruspex

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    Consider some fixed point x along the wave. How would you find the net amplitude at that point?
     
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