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GATE EE 1995
MCQ (Single Correct Answer)
+1
-0.3
A monochromatic plane electromagnetic wave travels in vacuum in the position $$x$$ direction ($$x, y, z$$ system of coordinates). The electric and magnetic fields can be expressed as
A
$$\eqalign{ & \mathop E\limits^ \to \left( {x,t} \right) = {E_0}\cos \left( {kx - \omega t} \right)\,\,{\widehat a_y} \cr & \mathop H\limits^ \to \left( {x,t} \right) = {H_0}\cos \left( {kx - \omega t} \right){\widehat a_z} \cr} $$
B
$$\eqalign{ & \mathop E\limits^ \to \left( {x,t} \right) = {E_0}\cos \left( {kx - \omega t} \right)\,\,{\widehat a_y} \cr & \mathop H\limits^ \to \left( {x,t} \right) = {H_0}\cos \left( {kx - \omega t - {\pi \over 2}} \right){\widehat a_z} \cr} $$
C
$$\eqalign{ & \mathop E\limits^ \to \left( {x,t} \right) = {E_0}\cos \left( {kx - \omega t} \right)\,\,{\widehat a_y} \cr & \mathop H\limits^ \to \left( {x,t} \right) = - {H_0}\cos \left( {kx - \omega t} \right){\widehat a_z} \cr} $$
D
$$\eqalign{ & \mathop E\limits^ \to \left( {x,t} \right) = {E_0}\cos \left( {kx - \omega t} \right)\,\,{\widehat a_y} \cr & \mathop H\limits^ \to \left( {x,t} \right) = - {H_0}\cos \left( {kx - \omega t - {\pi \over 2}} \right){\widehat a_z} \cr} $$
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