Question 369: Waves

Question

The equation of wave motion is $$Y=5 \sin (10 \pi t -0.02 \pi x+\pi / 3)$$ where $$x$$ is in metre and $$t$$ in second. The velocity of the wave is

Accepted Answer

$$	herefore \quad$$ Equation of Wave: $$\mathrm{y}=\mathrm{A} \sin (\mathrm{kx}-\omega \mathrm{t}+\phi)$$
Value of $$\mathrm{k}$$ :
$$\begin{aligned}
& k=\frac{2 \pi}{\lambda} \
& k=0.02 \pi \
& \omega=10 \pi
\end{aligned}$$
$$	herefore \quad$$ Velocity of wave is $$v=\frac{\omega}{k}$$
$$\begin{aligned}
& v=\frac{10 \pi}{0.02 \pi} \
& v=500 \mathrm{~m} / \mathrm{s}
\end{aligned}$$

Answer

300 m/s

Answer

400 m/s

Answer

500 m/s

Answer

600 m/s

Waves

The equation of wave motion is $Y=5 \sin (10 \pi t -0.02 \pi x+\pi / 3) where x is in metre and t$ in second. The velocity of the wave is

Choose the correct answer: