A wave travels in a medium according to the equation of displacement given by $y(x,\,t) = 0.03\sin \pi (2t - 0.01x)$ where $y$ and $x$ are in metres and $t$ in seconds. The wavelength of the wave is .... $m$
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(a) Comparing with $y = (x,\,t) = a\sin (\omega \,t - kx)$
$k = \frac{{2\pi }}{\lambda } = 0.01\pi $$\Rightarrow$ $\lambda = 200 m.$
$k = \frac{{2\pi }}{\lambda } = 0.01\pi $$\Rightarrow$ $\lambda = 200 m.$
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