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An EM wave propagating in \( x \)-direction has a wavelength of \( 8 \mathrm{~mm} \). The electric field vibrating \( y \)-direction has maximum magnitude of \( 60 \mathrm{Vm}^{-1} \). Choose the correct equations for electric and magnetic field if the EM wave if propagating in vacuum
(a)
\[
\begin{array}{l}
E_{y}=60 \sin \left[\frac{\pi}{4} \times 10^{3}\left(x-3 \times 10^{8} t\right)\right] \hat{j} V m^{-1} \\
B_{z}=2 \sin \left[\frac{\pi}{4} \times 10^{3}\left(x-3 \times 10^{8} t\right)\right] \hat{k} T
\end{array}
\]
(b)
\[
\begin{array}{l}
E_{y}=60 \sin \left[\frac{\pi}{4} \times 10^{3}\left(x-3 \times 10^{8} t\right)\right] \hat{j} V m^{-1} \\
B_{z}=2 \times 10^{-7} \sin \left[\frac{\pi}{4} \times 10^{3}\left(x-3 \times 10^{8} t\right)\right] \hat{k} T
\end{array}
\]
\( (c) \)
\[
\begin{array}{l}
E_{y}=2 \times 10^{-7} \sin \left[\frac{\pi}{4} \times 10^{3}\left(x-3 \times 10^{8} t\right)\right] \hat{j} V m^{-1} \\
B_{z}=60 \sin \left[\frac{\pi}{4} \times 10^{3}\left(x-3 \times 10^{8} t\right)\right] \hat{k} T
\end{array}
\]
\( (d) \)
\[
\begin{array}{l}
E_{y}=2 \times 10^{-7} \sin \left[\frac{\pi}{4} \times 10^{4}\left(x-4 \times 10^{8} t\right)\right] j \mathrm{Vm}^{-1} \\
B_{z}=60 \sin \left[\frac{\pi}{4} \times 10^{4}\left(x-4 \times 10^{8} t\right)\right] \hat{k} T
\end{array}
\]
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