# For a plane electromagnetic wave, the magnetic field at a point x and time t is : $\vec{B}(x,t)=\left [ 1.2\times10^{-7}\; \sin(0.5\times10^{3}x+1.5\times10^{11}t)\hat{k} \right ]T$ The instantaneous electric field $\vec{E}$ corresponding to $\vec{B}$ is : (speed of light $c=3\times10^{8}\; ms^{-1}$) Option: 1 Option: 2 Option: 3 Option: 4

$\vec{B}=1.2 \times 10^{-7} \sin \left(0.5 \times 10^{3} x+1.5 \times 10^{11} t\right) \hat{k} T \\ Wave is travelling along -x axis and \vec{B} is along +z axis. \\ E_{0}=c B_{0}=36 \frac{v}{m} \\ \overrightarrow{\mathrm{E}} must be along -\mathrm{y} axis$

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