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A wave travelling in the positive $x$-direction having displacement along $y$-direction as $1 \mathrm{~m}$, wavelength $2 \pi \mathrm{m}$ and frequency of $\frac{1}{\pi} \mathrm{Hz}$ is represented by
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Verified Answer
The correct answer is:
$y=\sin (x-2 t)$
Given $a=1 \mathrm{~m}$
As,
$\begin{aligned}
y & =\operatorname{asin}(k x-\omega t) \\
& =\sin \left(\frac{2 \pi}{2 \pi} x-2 \pi \times \frac{1}{\pi} t\right) \\
& =\sin (x-2 t)
\end{aligned}$
As,
$\begin{aligned}
y & =\operatorname{asin}(k x-\omega t) \\
& =\sin \left(\frac{2 \pi}{2 \pi} x-2 \pi \times \frac{1}{\pi} t\right) \\
& =\sin (x-2 t)
\end{aligned}$
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