List down the properties required by a function to represent a tr… - Vidyadip

Question

List down the properties required by a function to represent a travelling wave.

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Answer

Any wave function should be represented by position and time. $y = f(x, t).$
It should be periodic and simple harmonic. Considering the wave to move with a velocity $v$, the function can be represented by $\text{x}\mp\nu\text{t}'-'$ sign refers to the motion along $+ve x-$axis and $'+\ '$ sign refers to the motion along $-ve x-$axis.

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