Which of the following equations represents a travelling wave? - Vidyadip

MCQ

Which of the following equations represents a travelling wave?

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

✓

Answer

Correct option: B.

$y=A \sin (15 x-2 t)$

(b) : We know that, a travelling wave can be represented as $Y=F(x, t)$
Here the function $F$, should be such that $Y$ is a linear function of $x$ and $t$.
From the given options the linear function of $x$ and $t$ is
$
Y=A \sin (15 x-2 t)
$
Other equations are not linear function of $x$ and $t$.

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