At t=0, the shape of a travelling pulse is given by
`y(x,0)=(4xx10^(-3))/(8-(x)^(-2)`
where x and y are in metres. The wave function for the travelling pulse if the velocity of propagation is `5 m//s` in the x direction is given by

Options

A. `y(x,t)=(4xx10^(-3))/(8-(x^(2)-5t))`
B. `y(x,t)=(4xx10^(-3))/(8-(x-5t)^(2))
C. `y(x,t)=(4xx10^(-3))/(8-(x+5t)^(2))`
D. `y(x,t)=(4xx10^(-3))/(8-(x^(2)+5t))`

Answer

b

Explanation

`y(x,t)=f(x-vt)`
`y=(x,0)=(4xx10^(-3))/(8-x^(2))`
For a travelling wave in the `x-`direction
`y(x,t)=(4xx10^(-3))/(8-(x-5x)^(2))`