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)