# A wave travelling in the +ve x-direction having displacement along y-direction as 1 m, wavelength 2m and frequency ofHz is represented by: Option 1) Option 2) Option 3) Option 4)

As we learnt in

Relation between phase difference and path difference -

Phase difference $\left ( \Delta \phi \right )$

$= \frac{2\pi }{\lambda }\times path \: dif\! \! ference\left ( \Delta x \right )\\\lambda =wave\; length$

-

$y= A \sin (\omega t - k x +\phi)$

$Given, \:\:\lambda=2 \pi, \:\:\:f=\frac{1}{\pi}, \:\:\:4=1\omega t$

$k=\frac{2 \pi}{\lambda}= \frac{2 \pi}{2 \pi}= k =1$

$\therefore y= \sin (2t-x+\phi)$

Correct option is 2.

Option 1)

Incorrect

Option 2)

Correct

Option 3)

Incorrect

Option 4)

Incorrect

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