Which of the following equations represents a | vedclass

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(D) The general equation of a simple harmonic progressive wave is given by $y = A \sin (\omega t - kx + \phi)$ or $y = A \sin (kx - \omega t + \phi)$.

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$Y = A \sin (at - bx + c)$

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(D) The general equation of a simple harmonic progressive wave is given by $y = A \sin (\omega t - kx + \phi)$ or $y = A \sin (kx - \omega t + \phi)$.Option $D$,$Y = A \sin (at - bx + c)$,represents a progressive wave because it is a function of $(at - bx)$,which satisfies the wave equation $\frac{\partial^2 y}{\partial t^2} = v^2 \frac{\partial^2 y}{\partial x^2}$,where the wave speed $v = \frac{a}{b}$.Options $A$,$B$,and $C$ do not represent a traveling wave as they lack the necessary dependence on both space $(x)$ and time $(t)$ in the required functional form.

Which of the following equations represents a wave?

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