Which of the following equations represents a travelling wave?

Question:
Which of the following equations represents a travelling wave?

$y=A e^{-x^{2}}(v t+\theta)$
$y=A \sin (15 x-2 t)$
$y=A e^{x} \cos (\omega t-\theta)$
$y=A \sin x \cos \omega t$

Correct Option: , 2

Solution:

(2)

$Y=F(x, t)$

For travelling wave $y$ should be linear function of $x$ and $t$ and they must exist as $(x \pm v t) Y=A \sin (15 x-2 t) \rightarrow$ linear function in $x$ and $t$

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