Question

The equation that does not represent wave motion is

• A. $y=a\sin (kx-\omega t)$
• B. $y=a\sin k(vt-x)$
• C. $y=a\cos (kx-\omega t)$
• D. $y=a\sin (h^2-\omega t^2)$

Answer 1

The correct option is D $y=a\sin (h^2-\omega t^2)$

An equation represents a wave if it is of the form $y=f(kx-\omega t)$
$\therefore$ A represents a wave
$y=a\sin k(vt-x)$

$=a\sin k(\frac{\omega }{k}t-x)$
$=a\sin (\omega t-kx)$

$\therefore$ B also represents a wave.
C also represents a wave.
D is not of the form $kx-\omega t$, therefore it doesn't represents a wave