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What is a plane progressive simple harmo...

What is a plane progressive simple harmonic wave ? Establish equation for this wave in two different forms.

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Write down the wave equation in four different forms.

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Knowledge Check

  • During propagation of a plane progressive mechanical wave,

    A
    All the particles are vibrating in the same phase.
    B
    Amplitude of all the particles is equal.
    C
    Particles of the medium executes SHM
    D
    Wave velocity depends upon the nature of the medium.

  • The equation of motion of a simple harmonic motion is

    A
    `(d^(2)x)/(dt^(2))=-omega^(2)x`
    B
    `(d^(2)x)/(dt^(2))=-omega^(2)t`
    C
    `(d^(2)x)/(dt^(2))=-omegax`
    D
    `(d^(2)x)/(dt^(2))=-omegat`

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    During propagation of a plane progressive mechanical wave,

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    A plane progressive wave propagating along positive x-axis is

    A progressive wave of frequency 500 Hz is travelling with a velocity of 360 m/s. How far apart are two points 60^@ out of phase ? (ii)Does the speed of a plane-progressive wave depend on the amplitude ? (iii)The equation of a progressive wave is represented by Y=A sin^2 (kx-omegat) . Find its amplitude and frequency (iv)Which of the following equations represents a wave travelling along positive y-axis ? (a)x=5 sin (2y-6t) (b) y=6sin (7x-5t) (c ) y=10 sin (6y) cos (8t)

    State any two characteristics of a plane progressive wave.

    Transverse wave nature is established by

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