A linearly polarized electromagnetic

Question:

A linearly polarized electromagnetic wave in vacuum is

$\mathrm{E}=3.1 \cos \left[(1.8) \mathrm{z}-\left(5.4 \times 10^{6}\right) \mathrm{t}\right] \hat{\mathrm{i}} \mathrm{N} / \mathrm{C}$

is incident normally on a perfectly reflecting wall at $\mathrm{z}=\mathrm{a}$. Choose the correct option

  1. The wavelength is $5.4 \mathrm{~m}$

  2. The frequency of electromagnetic wave is $54 \times 10^{4} \mathrm{~Hz}$

  3. The transmitted wave will be

    $3.1 \cos \left[(1.8) \mathrm{z}-\left(5.4 \times 10^{6}\right) \mathrm{t}\right] \hat{\mathrm{i}} \mathrm{N} / \mathrm{C}$

  4. The reflected wave will be

    $3.1 \cos \left[(1.8) z+\left(5.4 \times 10^{6}\right) t\right] \hat{\mathrm{i}} \mathrm{N} / \mathrm{C}$

    $3.1 \cos \left[(1.8) \mathrm{z}+\left(5.4 \times 10^{6}\right) \mathrm{t}\right] \hat{\mathrm{i}} \mathrm{N} / \mathrm{C}$


Correct Option: , 4

Solution:

Reflected wave will have direction opposite to incident wave.

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