question_answer 5)

You have learnt that a travelling wave in one dimension is represented by a function y =f(x, t), j where x and (must appear in the combination (x -  t) or (x +  t), i.e., y =f (x ±  t). Is the converse y true ? That is, does every function of (x - t) or (x +t) represent a travelling wave ? Examine, if ^ the following functions for y can possibly represent a travelling wave ?                            "^ (a)  (b)    (c)             

Answer:

No, the converse is not true. The basic requirement for a wave function to represent a travelling wave is m that for all values of x and t, wave function must have a finite value. Out of the given functions for y, no one satisfies this condition. Therefore, none can represent a travelling wave.