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Official PYQ · 2018

GATE EC 2018 Set 1 Q49 — Plane Waves and Properties

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A uniform plane wave traveling in free space and having the electric field

E→=(2 a^x−a^z)cos[63 π×108t−2 π(x+2 z)]V/m\overrightarrow{E} =\left ( \sqrt{2}\:\hat{a}_{x} -\hat{a}_{z}\right )cos\left [ 6\sqrt{3}\: \pi \times 10^{8}t-2\:\pi \left ( x+\sqrt{2} \:z\right )\right ]V/m

is incident on a dielectric medium (relative permittivity >1>1, relative permeability =1=1) as shown in the figure and there is no reflected wave.

                                          

The relative permittivity (correct to two decimal places) of the dielectric medium is   __________.

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Answer: 1.9:2.1

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