The displacement of a wave travelling in the $\mathrm{x}$ direction is $\mathrm{y}=10^{-4} \sin [600…
The displacement of a wave travelling in the $\mathrm{x}$ direction is $\mathrm{y}=10^{-4} \sin [600 \mathrm{t}-2 \mathrm{x}+\pi / 3] \mathrm{m}$, where $\mathrm{x}$ is in metre and $\mathrm{t}$ in second. The speed of the wave is
$200 \mathrm{~m} / \mathrm{s}$
$300 \mathrm{~m} / \mathrm{s}$
$600 \mathrm{~m} / \mathrm{s}$
$150 \mathrm{~m} / \mathrm{s}$
Solution
Velocity $=$ Wavelength $\times$ Frequency
Frequency $(f)=\frac{\omega}{2 \pi}=\frac{600}{2 \pi}$
Wavelength $(\lambda)=\frac{2 \pi}{k}=\frac{2 \pi}{2}=\pi$
Velocity $=\pi \times \frac{600}{2 \pi}=300 \mathrm{~ms}^{-1}$