Complete GATE ECE 2018 Paper 1 overview, original pages and practice · Timed previous-paper practice

Questions 58–60 of 65. Imported answers require review unless explicitly marked reviewed.

Paper practice 65 questionsPage 20 of 22

Question 48

Open question
ECNAT2 marksNeeds review
The cutoff frequency of TE

mode of an air filled rectangular waveguide having inner dimensions

cm


cm (

) is twice that of the dominant TE

mode. When the waveguide is operated at a frequency which is 25% higher than the cutoff frequency of the dominant mode, the guide wavelength is found to be 4 cm. The value of

(in cm, correct to two decimal places) is ______.

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Question 49

Open question
ECNAT2 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.
Diagram for Electronics and Communication Engineering question 49

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

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Question 50

Open question
ECNAT2 marksNeeds review
The position of a particle

is described by the differential equation:

.
The initial conditions are

and

. The position (accurate to two decimal places) of the particle at

is ______.

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