A plane progressive wave is represented by the equation $y = 0.1\sin\left( 200\pi t - \frac{20\pi x}{17} \right)$ where $y$ is displacement in $m,t$ in second and $x$ is distance from a fixed origin in $meter.$ The frequency, wavelength and speed of the wave respectively are

Question

Dr. Abubacker · Accepted Answer

(a) Comparing the given equation with standard equation
We get $\omega = 2\pi n = 200\pi \Rightarrow n = 100\ Hz$ and $k = \frac{20\pi}{17}$
$\because\lambda = \frac{2\pi}{k} = \frac{2\pi}{20\pi/17} = 1.7\ m$
And $v = \frac{\omega}{k} = \frac{200\pi}{20\pi/17} = 170\ m/s$

Q. A plane progressive wave is represented by the equation $y = 0.1\sin\left( 200\pi t - \frac{20\pi x}{17} \right)$ where $y$ is displacement in $m,t$ in second and $x$ is distance from a fixed origin in $meter.$ The frequency, wavelength and speed of the wave respectively are

Explanation

Reviewed by Dr. Abubacker

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