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The amplitude of a wave disturbance prop...

The amplitude 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

`0.5 ms^(-1)`

B

`2.0 ms^(-1)`

C

`1.0 ms^(-1)`

D

`4.0 ms^(-1)`

Text Solution

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The correct Answer is:
A
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Knowledge Check

  • The shape of a wave propagating in the positive x or negative x-direction is given y=1/sqrt(1+x^(2)) at t=0 and y=1/sqrt(2-2x+x^(2)) at t=1s where x and y are in meters the shape the wave disturbance does not change during propagation find the velocity of the wave

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