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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? |
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Answer» Let the wave velocity is `v` towards right. (Displacement at `t = 0, x = x`) =[Displacement at `t = 2 s, x = x + v(2)`] `rArr (1)/(1 + x^(2)) = (1)/(1+(1+ x + 2v)^(2)` `rArr v = -0.5 m//s`. The negative sign indicates that wave is travelling towards left. |
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