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

Options

A. `y=(6)/((x+4.5t)^(2)-3)`
B. `y=(6)/((x-4.5t)^(2)+3)`
C. `y=(6)/((x+4.5t)^(2)+3)`
D. `y=(6)/((x-4.5t)^(2)-3)`

Answer

d

Explanation

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