A travelling wave pulse is given by y = frac{ | vedclass

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(A) The general equation of a travelling wave pulse is given by $y = f(ax + bt)$.Given the equation: $y = \frac{4}{3x^2 + 48t^2 + 24xt + 2}$.We can re

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(A) The general equation of a travelling wave pulse is given by $y = f(ax + bt)$.Given the equation: $y = \frac{4}{3x^2 + 48t^2 + 24xt + 2}$.We can rewrite the denominator by factoring out the terms involving $x$ and $t$:$3x^2 + 24xt + 48t^2 = 3(x^2 + 8xt + 16t^2) = 3(x + 4t)^2$.Substituting this back into the equation:$y = \frac{4}{3(x + 4t)^2 + 2}$.This is in the form $f(x + vt)$,where the wave function represents a pulse moving in the negative $x$-direction.Comparing $(x + 4t)$ with $(x - vt)$,we identify the velocity magnitude as $v = 4 \, m/s$.

$A$ travelling wave pulse is given by $y = \frac{4}{3x^2 + 48t^2 + 24xt + 2}$,where $x$ and $y$ are in $m$ and $t$ is in $s$. The velocity of the wave is ........... $m/s$.

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