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UGC-NET 2018: (Electromagnetic Theory) SpeedTest Quiz 14

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Question 1

Consider the following cables:
1. Single mode optical fibre cable
2. Multimode optical fibre cable
3. Graded-index optical fibre cable
4. Co-axial cable
The correct sequence in increasing order of data rate is

Question 2

Given If S represents the portion of the sphere for is ___________.

Question 3

A positive charge q is placed at x= 0 between two infinite metal plates placed at x= —d and at x = +d respectively. The metal plates lie in the yz plane.

The charge is at rest at t= 0, when a voltage +V is applied to the plate at —d and voltage —V is applied to the plate at x= +d. Assume that the quantity of the charge q is small enough that it does not perturb the field set up by the metal plates. The time that the charge q takes to reach the right plate is proportional to

Question 4

If   then the value of div curl at (1, -1, 1) is _________.

Question 5

Faraday’s law of electromagnetic induction is mathematically described by which one of the following equations?

Question 6

Light from free space is incident at an angle 0, to the normal of the facet of a step-index large core optical fibre. The core and cladding refractive indices are n1 =1.5 and n2 = 1.4, respectively.

The maximum value of (in degrees) for which the incident light will be guided in the core of the fibre is ______

Question 7

To maximize power transfer, a lossless transmission line is to be matched to a resistive load impedance via a transformer as shown.

The characteristic impedance (in) of the transformer is _________.

Question 8

For a rectangular waveguide of internal dimensions a × b(a > b) , the cut-off frequency for the mode is the arithmetic mean of the cut-off frequencies for mode and mode. If the value of b (in cm) is _____.

Question 9

Which one of the following field patterns represents a TEM wave travelling in the positive x direction?

Question 10

The lowest frequency at which a uniform plane wave incident from region 1 onto the boundary at z=0 will have no reflection, is
Region 1 (z<0);
Region 2 (0<z,6cm);
Region 1 (z>6cm);
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Dec 27ESE & GATE EC