1.

The amplitude of wave distance propagating in the positive X-direction is given by y = (1)/((1 + x)^(2)) at time t = 0 and y = (1)/(1 + (x - 1)^(2)) at t = 1 seconds here x and y are in metre. The shape of wave disturbance does not change during propagation. The velocity of wave is :

Answer»

`2 ms^(-1)`
`15 ms^(-1)`
`1 ms^(-1)`
`0.5 ms^(-1)`

SOLUTION :The general equation is y= `(1)/(1 + (x - v)^(2))`
att = 0 SEC `"" y = (1)/(1 + x^(2))`
Att = 2 sec. `"" y = (1)/(1 + (x - 2V)^(2)) `
comparing this with`y = (1)/(1 + (x - 1)^(2))`
We have 2v = 1 `rArr "" v = 0.5 ms^(-1)`.
correct CHOICE is d.


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