For a plane electromagnetic wave,$E_x = 0$,$E_y = 2.5 \frac{N}{C} \cos \left[ (2\pi \times 10^6 \frac{rad}{s})t - (\pi \times 10^{-2} \frac{rad}{m})x \right]$,and $E_z = 0$. Which of the following is true?

  • A
    The wave propagates in the positive $X$ direction with a wavelength of $100 \ m$ and a frequency of $10^6 \ Hz$.
  • B
    The wave propagates in the positive $X$ direction with a wavelength of $200 \ m$ and a frequency of $10^6 \ Hz$.
  • C
    The wave propagates in the negative $X$ direction with a wavelength of $200 \ m$ and a frequency of $10^6 \ Hz$.
  • D
    The wave propagates in the positive $Y$ direction with a wavelength of $200 \ m$ and a frequency of $10^6 \ Hz$.

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Given below are two statements:
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Statement $II$: In a material medium,the $EM$ wave travels with speed $v = \frac{1}{\sqrt{\mu_{0} \varepsilon_{0}}}$.
In the light of the above statements,choose the correct answer from the options given below:

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