A travelling wave pulse is given by $y=\frac{4}{3 x^2+48 t^2+24 x t+2}$ where $x$ and $y$ are in metre and $t$ is in second. The velocity of wave is ........... $m / s$
Diffcult
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(a)
$y=\frac{4}{3 x^2+48 t^2+24 x t+2}$
We need to convert it into the form of $f(k x-\omega t)$
$y=\frac{4}{3\left(x^2+16 t^2+8 x\right)+2}$
$y=\frac{4}{3(x+4 t)^2+2}$
$v=\frac{\omega}{k}$
Hence $v=\frac{4}{1}=4 \,m / s$
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