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If two wave of the same frequency differ...

If two wave of the same frequency differ in amplitude and are propagated in opposite directions through a medium , will they produce standing waves ? Is energy transported ? Are there any nodes ?

Text Solution

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Yes , they produce standing waves of the form shown here . Energy is transported . No , there are no nodes , instead , there are positions of minimum amplitude.
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Knowledge Check

  • Two waves of same frequency traveling in the same medium in opposite direction when super imposed give rise to

    A
    beats
    B
    harmonics
    C
    standing waves
    D
    resonance
  • With propagation of longitudinal waves through a medium, the quantity transmitted is

    A
    Matter
    B
    Energy
    C
    Energy and Matter
    D
    Energy, Matter and Momentum
  • Two waves of equal frequency f and velocity v travel in opposite directions along the same path. The waves have amplitudes A and 3 A . Then:

    A
    the amplitude of the resulting wave varies with position between maxima of amplitude `4 A` and minima of zero amplitude.
    B
    the distance between a maxima and adjacent minima of amplitudes is `v//2f`
    C
    maximum amplitude is `4 A` and minimum amplitude is ` 2A`
    D
    The position of a maxima or minima of amplitude does not change with time
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