Electronics and Communication Engineering
GATE ECE Plane waves and properties PYQs
Build your understanding with focused practice from past exam papers.
How to practice Plane waves and properties
Attempt a question, record the concept and assumptions, then check the available answer. Rework mistakes after revising the relevant concepts. Topic tags can overlap; review the question context.
Questions 1–10 of 13. Imported answers require independent review unless marked reviewed.
Question 24
Open questionECMCQ1 markNeeds review
The electric field of a monochromatic plane wave traveling in a lossless isotropic and homogenous medium is given by
in a right-handed orthogonal co-ordinate system.
Which of the following is the correct polarization of the electromagnetic wave?
Your answerChoose one option.
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Open questionECMSQ1 markNeeds review
Which option(s) represents/ represent the dielectric loss tangent of a substrate?
Your answerSelect all correct options. You can choose more than one.
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You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 39
Open questionECMCQ2 marksNeeds review
A uniform plane wave with electric field
V/m is traveling in the air (relative permittivity,
and relative permeability,
) in the
direction (
is a positive constant,
is the unit vector along the
axis). It is incident normally on an ideal electric conductor (conductivity,
) at
. The position of the first null of the total magnetic field in the air (measured from
, in metres) is ______.Your answerChoose one option.
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You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 20
Open questionECMCQ1 markNeeds review
Consider a narrow band signal, propagating in a lossless dielectric medium (
), with phase velocity
and group velocity
. Which of the following statement is true? (
is the velocity of light in vacuum.)Your answerChoose one option.
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You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 53
Open questionECMSQ2 marksNeeds review
The electric field of a plane electromagnetic wave is
Which of the following combination(s) will give rise to a left handed elliptically polarized (LHE) wave?
Your answerSelect all correct options. You can choose more than one.
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Open questionECNAT2 marksNeeds review
A transparent dielectric coating is applied to glass (
,
) to eliminate the reflection of red light (
). The minimum thickness of the dielectric coating, in
m, that can be used is ________ (rounded off to two decimal places).Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 15
Open questionECMCQ1 markNeeds review
Consider a rectangular coordinate system
with unit vectors
,
, and
. A plane wave traveling in the region
with electric field vector
is incident normally on the plane at
, where
is the phase constant. The region
is free space and the region
is filled with a lossless medium (permittivity
, permeability
, where
F/m and
H/m). The value of the reflection coefficient isYour answerChoose one option.
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Open questionECNAT2 marksNeeds review
The magnetic field of a uniform plane wave in vacuum is given by
The value of b is ______.Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 33
Open questionECMCQ2 marksNeeds review
The distance (in meters) a wave has to propagate in a medium having a skin depth of 0.1 m so that the amplitude of the wave attenuates by 20 dB, is
Your answerChoose one option.
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You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 49
Open questionECNAT2 marksNeeds review
A uniform plane wave traveling in free space and having the electric field
is incident on a dielectric medium (relative permittivity > 1, relative permeability = 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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