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If a plane electromagnetic wave satisfies the equation $\frac{\partial^{2} \mathrm{E}_{\mathrm{x}}}{\partial \mathrm{z}^{2}}=\mathrm{c}^{2} \frac{\partial^{2} \mathrm{E}_{\mathrm{x}}}{\partial \mathrm{t}^{2}}$, the wave propagates in the

  1. $x$-direction
  2. $z$-direction
  3. $y$-direction
  4. $x y$ plane at an angle of $45^{\circ}$ between the $x$ and $z$ directions

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