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

At time t in the given equation we can replace x by `(x -vt)` by shifting of origin due to propagation of wave.