Question

A wave travelling in the $+ve$ $x-direction$ having displacement along $y$-direction as $1m$, wavelength $2 \pi m$ and frequency of $ \frac{1}{\pi} Hz$ is represented by :

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

Answer 1

Answer: (B)

$y=a \sin (k x-\omega t)$
$=\sin \left[\frac{2 \pi}{2 \pi} x-2 \pi \times \frac{1}{\pi} t\right]$
$=\sin (x-2 t)$