Question

Which of the following expressions represents a simple harmonic progressive wave?

• A. $\text{A sin}\omega t$
• B. $\text{A sin}\omega \text{t cos kx}$
• C. $\text{A sin}(\omega t-kx)$
• D. $\text{Acos kx}$

Answer 1

The correct option is C $\text{A sin}(\omega t-kx)$

We know that
A simple hormonic prograssive wave can be reprsented as
$y(x,t)=\text{A sin}(\omega t\pm kx)$
where $y$ is the displacement of particle from its mean position and $y(x,t)=f(ax\pm bt)$
$\Rightarrow y=\text{A sin}(\omega t-kx)$ represents a simple hormonic progressive wave.
However, the simple harmonic motion of a particle is represented by equation:
$y=A\sin \omega t$
$\therefore$Option $\left(c\right)$ is correct.