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At t=0, a transverse wave pulse in a wir...

At t=0, a transverse wave pulse in a wire is described by the function `y=6//(x^(2)-3)` where x and y are in metres. The function y(x,t) that describes this wave equation if it is travelling in the positive x direction with a speed of `4.5 m//s` is

A

`y=(6)/((x+4.5t)^(3)-3)`

B

`y = (6)/((x-4.5 t^(2))+3)`

C

`y = (6)/((x+4.5 t)^(2)-3)`

D

`y = (6)/((x-4.5 t)^(2)-3)`

Text Solution

Verified by Experts

The correct Answer is:
C
`y (x, t)=(a)/((x pm vt)^(2)+b)` is another form of progressive wave equation propagating with a speed v. Negative sign to be taken for propagation along + x-axis and positive sign to be taken for propagation along - x-axis.
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