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(C) travelling wave is represented by a function of the form $f(x \pm vt)$ or a linear combination of harmonic terms $k x \pm \omega t$.Option $A$ rep

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$y = 3 \sin(5x - 0.5t) + 4 \cos(5x - 0.5t)$

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(C) travelling wave is represented by a function of the form $f(x \pm vt)$ or a linear combination of harmonic terms $k x \pm \omega t$.Option $A$ represents a standing wave because the spatial and temporal parts are separated.Option $B$ is not a valid wave function as it does not satisfy the wave equation $\frac{\partial^2 y}{\partial x^2} = \frac{1}{v^2} \frac{\partial^2 y}{\partial t^2}$.Option $C$ can be written as $y = R \sin(5x - 0.5t + \phi)$,which is a standard form of a travelling wave.Option $D$ represents a superposition of two standing waves.Therefore,only option $C$ represents a travelling wave.

Given below are some functions of $x$ and $t$ to represent the displacement (transverse or longitudinal) of an elastic wave. State which of these represent a travelling wave.

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