1.

The displacement of a wave disturbance propagating in the positive x-direction is given by `y =(1)/(1 + x^(2))`at `t = 0` and `y =(1)/(1 +(x - 1)^(2))` at `t =2s` where, `x` and `y` are in meter. The shape of the wave disturbance does not change during the propagation. what is the velocity of the wave?A. `1 m//s`B. `1.5 m//s`C. `0.5 m//s`D. `2 m//s`

Answer» Correct Answer - c
At t=2 s
`y=(1)/([1+(x-1)^(2)])`
or `x-vt=x-1 implies 1=vt`
`implies1=vxx2`
`impliesv=0.5 m//s`


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