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(C) simple harmonic progressive wave is a wave that travels through a medium without any permanent displacement of the medium particles.Mathematically

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$y = a \sin(\omega t - kx)$

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(C) simple harmonic progressive wave is a wave that travels through a medium without any permanent displacement of the medium particles.Mathematically,a progressive wave is represented by a function of the form $y = f(vt \pm x)$ or $y = a \sin(\omega t \pm kx + \phi)$.In this expression,$y$ is the displacement,$a$ is the amplitude,$\omega$ is the angular frequency,$t$ is time,$k$ is the wave number,and $x$ is the position.Option $A$ represents simple harmonic motion at a fixed position.Option $B$ represents a standing wave.Option $C$ represents a simple harmonic progressive wave because it contains both space $(x)$ and time $(t)$ variables in the phase argument.Option $D$ represents a stationary spatial variation.

Which of the following expressions represents a simple harmonic progressive wave?

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