A carbon dioxide laser emits sinusoidal electro-magnetic wave that travels in vacuum in the negative $x-$ direction. The wavelength is $10.6\,\mu $ and $\vec E$ fields is parallel to $z-$ axis, with $E_{max} = 1.5 \times 10^6\, M\, v/m$. Then vector equations for $\vec E$  and $\vec B$ as a function of time and position are

  • A

    $\vec E = \hat k\, [1.5×10^6cos(8.93×10^5x+3.78×10^{14}t)]\,v/m$

    $\vec B=\hat j\, [5.0×10^{-3}cos(8.93×10^5x+3.78×10^{14}t)]\,T$

  • B

    $\vec E = \hat k\, [1.5×10^6cos(8.93×10^5x+3.78×10^{14}t)]\,v/m$

    $\vec B=-\hat j\, [5.0×10^{-3}cos(8.93×10^5x+3.78×10^{14}t)]\,T$

  • C

    $\vec E = \hat k\, [1.5×10^6cos(5.93×10^5x+1.78×10^{14}t)]\,v/m$

    $\vec B=-\hat j\, [5.0×10^{-3}cos(5.93×10^5x+1.78×10^{14}t)]\,T$

  • D

    $\vec E = \hat k\, [1.5×10^6cos(5.93×10^5x+1.78×10^{14}t)]\,v/m$

    $\vec B=\hat j\, [5.0×10^{-3}cos(5.93×10^5x+1.78×10^{14}t)]$

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