Official PYQ · 2013Set 1 · Q53Vector AnalysisMCQ2 marks

GATE EC 2013 Set 1 Q53 — Vector Analysis

A monochromatic plane wave of wavelength $\lambda = 600 \mu m$ is propagating in the direction as shown in the figure below. $\vec{E_{i}},\vec{E_{r}},$ and $\vec{E_{t}}$ denote incident, reflected, and transmitted electric field vectors associated with the wave.

The expression for $\vec{E_{r}}$ is

Choose one optionA

0.23\frac{E_{0}}{\sqrt{2}}(\hat{a_{x}} + \hat{a_{z}})e^{-j \frac{\pi\times 10^{4}(x-z)}{3\sqrt{2}}} \:V / m

B

-\frac{E_{0}}{\sqrt{2}}(\hat{a_{x}} + \hat{a_{z}})e\:{}^{j \frac{\pi\times 10^{4}z}{3}} \:V / m

C

0.44\frac{E_{0}}{\sqrt{2}}(\hat{a_{x}} + \hat{a_{z}})e^{-j \frac{\pi\times 10^{4}(x-z)}{3\sqrt{2}}} \:V / m

D

\frac{E_{0}}{\sqrt{2}}(\hat{a_{x}} + \hat{a_{z}})e^{-j \frac{\pi\times 10^{4}(x+z)}{3}} \:V / m

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Answer: A

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Published 10 Oct 2026

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