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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 – υ t or x + v t, i.e. y = f (x ± υ t). Is the converse true? Examine if the following functions for y can possibly represent a travelling wave :(a) (x – υ t )² (b) log [(x + υ t)/x0] (c) 1/(x + υt) |
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Answer» 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 – υ t or x + v t, i.e. y = f (x ± υ t). Is the converse true? Examine if the following functions for y can possibly represent a travelling wave : (a) (x – υ t )² (b) log [(x + υ t)/x0] (c) 1/(x + υt) |
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