If at `t = 0`, a travelling wave pulse in a string is described by the function,
`y = (10)/((x^(2) + 2 ))`
Hence, `x and y` are in meter and `t` in second. What will be the wave function representing the pulse at time `t`, if the pulse is propagating along positive x-axis with speed `2 m//s`?

Options

A. `10/(5+(x+2t)^(2))`
B. `(10+2t)/(5+x^(2))`
C. `10/(5+(x-2t)^(2))`
D. none

Answer

C

Explanation

`y=f(x)` is given
`y(x,t)=f(x-vt)`
`=10/(5+(x-2t)^(2))`