Q113 / 180 · NEET 2013 (All India) · Physics

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

  • Correct answer
    A
    $y=\sin (x-2 t)$
  • B
    $y=\sin (2 \pi x-2 \pi t)$
  • C
    $y=\sin (10 \pi x-20 \pi t)$
  • D
    $y=\sin (2 \pi x+2 \pi t)$

Solution

Given $a=1 \mathrm{~m}$ As, $\begin{aligned} y & =\operatorname{asin}(k x-\omega t) \\ & =\sin \left(\frac{2 \pi}{2 \pi} x-2 \pi \times \frac{1}{\pi} t\right) \\ & =\sin (x-2 t) \end{aligned}$

Hence, the correct answer is option: 'A'.

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