A plane wave is represented by x = 1.2 sin(31 | vedclass

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(C) The general equation for a plane wave traveling in the $y$-direction is given by $x = A \sin(\omega t \pm ky)$.Comparing the given equation $x = 1

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$A$ wavelength of $0.5 \ m$ and travels in $-ve \ y$ direction

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(C) The general equation for a plane wave traveling in the $y$-direction is given by $x = A \sin(\omega t \pm ky)$.Comparing the given equation $x = 1.2 \sin(314t + 12.56y)$ with the standard form,we identify the wave number $k = 12.56 \ rad/m$.The presence of the '$+$' sign between the $t$ term and the $y$ term indicates that the wave is traveling in the negative $y$-direction ($-ve \ y$ direction).The wave number $k$ is related to the wavelength $\lambda$ by the formula $k = \frac{2\pi}{\lambda}$.Substituting the values: $12.56 = \frac{2 	imes 3.14}{\lambda}$.$\lambda = \frac{6.28}{12.56} = 0.5 \ m$.Thus,the wave has a wavelength of $0.5 \ m$ and travels in the $-ve \ y$ direction.

$A$ plane wave is represented by $x = 1.2 \sin(314t + 12.56y)$,where $x$ and $y$ are distances measured in meters and $t$ is time in seconds. This wave has:

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