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-axix with speed `2 m//s`?

Answer

A, B

Explanation

Since, wave is travelling along positive x-direction. Hence, coefficient of `t` and coefficient of `x` shouldhave opposite signs. Further,
` v = ("Coefficient of t")/("Coefficient of x")`
`:. 2 = ("Coefficient of t")/("Coefficient of x")`
:. Coefficient of `t =2` ("coefficient of `x`")
`=2 xx1 =SI "units"`
`:. y=(10)/((x - 2t)^(2) + 2)`