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General
Easy

Question

If the speed of the wave shown in the figure is 330m/s in the given medium, then the equation of the wave propagating in the positive x-direction will be (all quantities are in M.K.S. units)

  1. y equals 0.05 sin invisible function application 2 pi left parenthesis 4000 t minus 12.5 x right parenthesis    
  2. y equals 0.05 sin invisible function application 2 pi left parenthesis 4000 t minus 122.5 x right parenthesis    
  3. y equals 0.05 sin invisible function application 2 pi left parenthesis 3300 t minus 10 x right parenthesis    
  4. y equals 0.05 sin invisible function application 2 pi left parenthesis 3300 x minus 10 t right parenthesis    

The correct answer is: y equals 0.05 sin invisible function application 2 pi left parenthesis 3300 t minus 10 x right parenthesis


    Here A equals 0.05 m comma fraction numerator 5 lambda over denominator 2 end fraction equals 0.025Þ lambda equals 0.1 m
    Now standard equation of wave
    y equals A sin invisible function application fraction numerator 2 pi over denominator lambda end fraction left parenthesis v t minus x right parenthesis Þ y equals 0.05 sin invisible function application 2 pi left parenthesis 33 t minus 10 x right parenthesis

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