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A plane wave of wavelength λ is travelling in a direction making an angle 30° with positive x-axis and 90° with positive y-axis. The $$\overrightarrow E $$ field of the plane wave can be represented as (E0 is a constant)

A. $$\overrightarrow E = \hat y{E_0}{e^{j\left( {\omega t - \frac{{\sqrt 3 \pi }}{\lambda }x - \frac{\pi }{\lambda }z} \right)}}$$

B. $$\overrightarrow E = \hat y{E_0}{e^{j\left( {\omega t - \frac{\pi }{\lambda }x - \frac{{\sqrt 3 \pi }}{\lambda }z} \right)}}$$

C. $$\overrightarrow E = \hat y{E_0}{e^{j\left( {\omega t + \frac{{\sqrt 3 \pi }}{\lambda }x + \frac{\pi }{\lambda }z} \right)}}$$

D. $$\overrightarrow E = \hat y{E_0}{e^{j\left( {\omega t - \frac{\pi }{\lambda }x + \frac{{\sqrt 3 \pi }}{\lambda }z} \right)}}$$

Answer: Option A


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