Question

The equation of a progressive wave are $Y=\sin \left[200\pi (t-\frac{x}{330})\right]$, where $x$ is in meter and f is second. The frequency and velocity of wave are

• A. $100Hz,5m/s$
• B. $300Hz,100m/s$
• C. $100Hz,330m/s$
• D. $30m/s,5Hz$

Answer 1

The correct option is C $100Hz,330m/s$

$\begin{array}{c}y=A\sin \left(kx-wt+\varnothing \right)\\ K=\frac{2\pi }{\lambda }\\ f=\frac{w}{2\pi }=\frac{200\pi }{2\pi }={100}^{}Hz\\ V=f\lambda =f\frac{2\pi }{k}=100\times \frac{2\pi }{200\pi }\times 330\\ =330m/s\end{array}$