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A wave pulse moving along the x axis is ...

A wave pulse moving along the `x` axis is represented by the wave funcation
`y(x, t) = (2)/((x - 3t)^(2) + 1)`
where `x` and `y` are measured in `cm` and `t` is in seconds.
`(i)` in which direction is the wave moving ?
`(ii)` Find speed of the wave.
`(iii)` Plot the waveform at `t = 0, t = 2s`.

Text Solution

Verified by Experts

The correct Answer is:
(i) Positive `xa` , (ii) `3 cm//s`.
`y = (2)/((x-3t)^(2) + 1)`
`(i)` As wave is moving in `+ve x` direction because
`y = (x, t) = f(t - x//AA) = f//v(vt - x)`
`(ii)` Now `x - vt` is concerened with `x - 3t`
`:. V = 3 cm//sec`.
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