At t=0,a transverse wave pulse travelling in the positive x direction with a speed of `2 m//s` in a wire is described by the function `y=6//x^(2)` given that `x!=0`. Transverse velocity of a particle at x=2 m and t= 2 s is

Options

A. `3 m//s`
B. `-3 m//s`
C. `8 m//s`
D. `-8 m//s`

Answer

b

Explanation

`y(x,t)=(6)/((x-2t)^(2))`
`implies v_(p)=(dely)/(delt)=(24)/((x-2t)^(3))`
`v_(p)[x=2,t=2]=(24)/(-2^(3))=-3 m//s`