Question

The equation of a progressive wave is $y=4sin(4\pi t-0.04x+\frac{\pi }{3})$ where x is in metre and t is in second. The velocity of the wave is

• A. $100\pi m/s$
• B. $50\pi m/s$
• C. $25\pi m/s$
• D. $\pi m/s$

Answer 1

The correct option is A $100\pi m/s$

The equation of the progressive wave is given as, $y=4sin(4\pi t-0.04x+\frac{\pi }{3})$.

The velocity of the wave would be equal to

$\frac{\omega }{k}=\frac{4\pi }{0.04}=100\pi m/s$