Question

Which of the following equations represents a travelling wave ?

• A. $y=A \sin (15 x-2 t)$
• B. $y=Ae^{-x^{2}}(v t+\theta)$
• C. $y=Ae^{x} \cos (\omega t-\theta)$
• D. $y=A \sin x \cos \omega t$

Answer 1

Answer: (A)

$y=F(x, t)$ 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 $t$