Question

The equation of progressive wave is $y=0.2\sin 2\pi [\frac{t}{0.01}-\frac{x}{0.3}]$, where $x$ and $y$ are in metre and $t$ is second. The velocity of propagation of the wave is

• A. $30m/s$
• B. $40m/s$
• C. $300m/s$
• D. $400m/s$

Answer 1

The correct option is A $30m/s$

$v=\frac{\text{coefficient of t}}{\text{coefficient of x}}=\frac{2\pi /0.01}{2\pi /0.3}=30m/s$.