Electronics and Communication Engineering
2018 · Paper 1
Take it one question at a time. Try an answer, then check your understanding.
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.
Question 48
Open questionECNAT2 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 ______.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 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 __________.
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 50
Open questionECNAT2 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 ______.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 answer