A plane wave is represented by $x = 1.2\sin (314\,t + 12.56y)$Where $x$ and $y$ are distances measured along in $x$ and $y$ direction in meters and $t$ is time in seconds. This wave has
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(c) The given equation representing a wave travelling along $-y$ direction (because $‘+’$ sign is given between $t$ term and $x$ term).
On comparing it with $x = A\sin \,\left( {\omega \,t + ky} \right)$
We get $k = \frac{{2\pi }}{\lambda } = 12.56$ ==> $\lambda = \frac{{2 \times 3.14}}{{12.56}} = 0.5\,m$
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