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The displacement of a wave disturbance p...

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?

Text Solution

Verified by Experts

The displacement at t = 0 will be same as at(x+vt) at time t. `(1)/(1+x^(2))=(1)/(1+(x+vt-1)^(2))`
`rArr x=x+vt-but t=2 sec, vt=1, v=0.5m//s`
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