A wave equation is $y = 10^{-4}\, sin\, (60 t + 2x)$ Where $x$ and $y$ are in $metres$ and $t$ is in $sec$ . Which of the following statements is correct ?
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$Y=\operatorname{asin}(\omega t+k x)$
compare the given equation with above equation
$\omega=2 \pi \mathrm{f} \quad \Rightarrow 60=2 \pi \mathrm{f}$
$\mathrm{K}=2 \quad \mathrm{f}=\frac{30}{\pi}$
$\mathrm{V}=\frac{\omega}{\mathrm{K}} \quad \Rightarrow \mathrm{V}=\frac{60}{2}=30 \mathrm{\,m} / \mathrm{sec}$
$\lambda=\frac{V}{f}=\frac{30}{30 / \pi}=\pi$ $meter$
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