You havelearnt that a travelling wave in one dimension is represented

1.	You havelearnt that a travelling wave in one dimension is represented by afunction y = f(x,t)where x andt must appearin 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 ycan possibly represent a travelling wave:(a) (x – vt)2(b) (c)
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 – 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) (c)

You havelearnt that a travelling wave in one dimension is represented by afunction y = f(x,t)where x andt must appearin 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 ycan possibly represent a travelling wave:(a) (x – vt)2(b) (c)

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 –
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)

(c)

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