In the equation of a simple harmonic pro...

In the equation of a simple harmonic progressive wave of wavelength `'lamda'`, the propagation constant is given by

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A simple harmonic progressive ( or travelling ) wave is a periodic distrubance in a medium or in free space which propagatess at a finite speed and in which the vibration of the particles of the medium , as in a mechincal wave , or the oscillation of the electric and magnetic fileds, as in an electromagnetic wave , are simple harmonic.

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The equation of a simple harmonic progressive wave along the negative direction of X-axis is

`y = a sin 2pi [(t)/(T) - (x)/(lamda)]`

`y = a sin (2pi nt)`

`y = a sin 2pi [(t)/(T) + (x)/(lamda)]`

`y = a cos 2pi [x]`

The equation of a simple harmonic progressive wave along the positive direction of X axis is given by

`y = a sin 2pi [(t)/(T) - (x)/(lamda)]`

`y = a sin (2pi nt)`

`y = a sin 2pi [(t)/(T) + (x)/(lamda)]`

`y = a cos (2pi nt)`

The equation of motion of a simple harmonic motion is

`(d^2 x)/(dt^2) = - omega^2x`,

`(d^2 x)/(dt^2) = - omega^2 t`

`(d^2 x)/(dt^2) = - omega x`

`(d^2x)/(dt^2) = - omega t`