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Q.15.5 (a) 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 :

(a)\; (x-vt)^{2}

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No, the given function cannot represent a wave as x or t approach infinity the function won't be converging to a constant value and therefore the converse is not true.

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