Question

Which of the following expressions is that of a simple harmonic progressive wave?

• A. $a\,\sin \,\omega t$
• B. $a\,\sin \,(\omega t)\,\cos \,kx$
• C. $a\,\sin \,(\omega t-kx)\,$
• D. $a\cos kx$

Answer 1

Answer: (C)

$a\,\sin \,(\omega t-kx)\,$

Answer 2

General equation of wave motion should be represented by $y=f(a x \pm b t) \text { or } f(a t \pm b x)$ When $y$ is a sine or cosine function such as $y =a \sin (\omega t-k x)$ or $y =a \cos (\omega t-k x)$ it is called simple harmonic progressive wave.