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? Examine if the following functions for y can possibly represent a travelling wave:
(a) (x- vt)².
(b) log [(x+vt)/x₀].
(c) 1/(x+vt).
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The converse is not true.
A wave function for a travelling wave is used to represent a travelling wave in the terms of x and t, wave function should also have finite value.
in simple way you can say that wave function is represented in term of x and t , e.g., y = f(x,t) in such a way that we get finite value of y for all real value of x and t .
if we check the options. no one is satisfied the above condition. hence these are not the equations of wave.
A wave function for a travelling wave is used to represent a travelling wave in the terms of x and t, wave function should also have finite value.
in simple way you can say that wave function is represented in term of x and t , e.g., y = f(x,t) in such a way that we get finite value of y for all real value of x and t .
if we check the options. no one is satisfied the above condition. hence these are not the equations of wave.
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