A transverse wave is represented by the equation $y=0.5\sin (2x-10t)$. What is the wave speed in $\text{m/s}$?

Solution

1. The standard wave equation is $y=A\sin (kx-\omega t)$.
2. Comparing the given equation, $k=2$ and $\omega =10$.
3. The wave speed is $$\begin{array}{rl}v& =\frac{\omega }{k}\\ & =\frac{10}{2}\\ & =5\text{ m/s}\end{array}$$.
4. Hence the answer is (B).