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  • You have learnt that a travelling wave in one dimension is represented by a function y = f (x, t) where x and t must appear in the combination x – v t or x + v t, i.e. y = f (x ± v t). Is the converse true? log x+vt x_0

Q.15.5 (b) You have learnt that a travelling wave in one dimension is represented by a function y = f (x, t) where x and t must appear in the combinationx - v\; t or x + v\; t, i.e. y = f (x \pm v \; t). Is the converse true?  Examine if the following functions for y can possibly represent a travelling wave :

 (b) log\; [(x+vt)/x_{0}]

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No, the given function cannot represent a travelling wave because as x and t become zero the given function won't be converging to a constant value and therefore the converse is not true.

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Sayak

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