Full Syllabus Test 3 for ESE & GATE EC Exams

Question 1

Suppose we have a hertzian dipole that is 0.02m. Now, determine the current that is required to radiate a power equal to 200W.(Given f= 100MHz)

Question 2

Match List-I (Types of transmission structure) with List-II (Modes of propagation) and select the correct answer using the code given below the lists:
List-I
A). Strip line
B). Hollow rectangular waveguide
C). Micro-strip
D). Corrugated waveguide
List-II
1). Quasi TEM
2). Pure TEM
3). TE/TM
4). Hybrid

Question 3

On moving a branch point ahead of a block, the movement is compensated by:

Question 4

As compared to a full wave rectifier using 2 diodes, the four diode bridge rectifier has the dominant advantage of

Question 5

For the 8085 microprocessors, the interfacing circuit to input 8-bit digital data (DI₀ – DI₇) from an external device is shown in the figure. The instruction for correct data transfer is

Question 6

In the given AM signal, find the power transmitted. The power transmitted by the carrier is 100 W.

Question 7

If f_(XYZ)= (X+Y) (Y+Z') (Z+X) then find the complement of a function.

Question 8

In a waveguide with perfectly conducting flat wall, the angle of reflection is equal to the angle of

Question 9

The phase margin in degrees of

calculated using the asymptotic Bode plot is ________.

Question 10

A Silicon sample A is doped with 10¹⁸ atoms/cm³ pf Boron. Another sample B of identical dimensions is doped with 10¹⁸ atoms/cm³ of phosphorus. The ratio of electron to hole mobility is 3. The ratio of conductivity of the sample A to B is

Question 11

The transfer function of a phase-lead compensator is given by

The maximum phase-shift provided by such a compensator is:

Question 12

Consider the following statements:
As compared to short-circuited stubs, open circuited stubs are not preferred because the latter
1) Are of different characteristics impedance
2) Have a tendency to radiate
Which of the above statements is/are correct?

Question 13

When a pulse waveform is provided as input, which of the following produces the below output?

Question 14

Which of the following antennas exhibit circular polarization?

Question 15

The normalized signal mn(t) has a bandwidth of 5 kHz and its power content is ½ W. The carrier A cos 2π fc t has power 250 W. If the modulation scheme is AM with the modulation index of 0.8. The message signal is sinusoidal. if the modulation scheme is FM with K_f = 50000 Hz/V, and the message signal is sinusoidal then the power and the bandwidth of the modulated signal respectively are

Question 16

The input impedance of a short circuited lossless transmission line and open circuited lossless transmission line having $Description: E:\Gate\Gate-EC\04_Elctromgntic_BL-done_files\image050.png$ length and characterstics impedance Z₀ $Description: E:\Gate\Gate-EC\04_Elctromgntic_BL-done_files\image051.png$ are respectively

Question 17

What will be the voltage at the sending end of a quarter-wave lossless 50Ω line terminated by load Z_L = 100Ω, if the voltage at the load end is 40V?

Question 18

Find the output expression of the combinational circuit given below i.e. Y (A, B) where A is MSB

Question 19

Determine the channel half-width for an n-channel silicon FET having Gate-to-Source voltage, V_GS = V_P/4, where V_P is the Pinch off voltage and drain current, I_d = 0. (Consider (a) Donor Concentration N_D = 10¹⁵ electrons/cm³ (b) Channel half-width for V_GS = 0 V is 3

).

Question 20

When the optical power incident on a photodiode is

and the responsivity
is 0.8 A/W, the photocurrent generated (in

) is

Question 21

The power in the signal $Description: D:\GradeStack Courses\GATE Tests (Sent by Ravi)\GATE EC-ME-17-Mar\GATE-ECE-2005_files\image051.png$ is:

Question 22

The impulse response of an LTI system can be obtained by

Question 23

A system is defined by its impulse response h(n) = 2ⁿu(n – 2). The system is

Question 24

The self-capacitance of a coil is measured by the resonating capacitor. The measurement gives the value of tuning capacitor as C₁ = 460 pF at a frequency.
f₁ = 2 MHz. The second measurement at
f₂ = 4 MHz yields a new value of tuning capacitor, C₂ = 100 pf. The distributed capacitance C_d will be

Question 25

If all ports of microwave network are matched then diagonal elements of S matrix of network is

Question 26

In a CRO which of the following is not a part of electron gun?

Question 27

A 3 line - to - 8 line decoder with active low outputs is used to implement a 3 variable boolean functions as shown in the figure.

The simplified form of Boolean function f(X, Y, Z) implemented in “Product of Sum” form will be?

Question 28

For a random variable x having the PDF shown in the figure given below

the mean and the variance are, respectively

Question 29

The cumulative distribution function of a random variable x is the probability that X takes the value

Question 30

The 2’s complement subtraction of (7)₁₀ − (11)₁₀ is:

Question 31

Microwave resonators are used in
1) Microwave oscillators
2) Microwave narrow band amplifiers
3) Microwave frequency meters
Which of the above are correct ?

Question 32

In the terrestrial paths of a microwave communication system, which technique is usually adopted to overcome signal loss due to earth’s curvature?

Question 33

A quartz piezoelectric crystal having a thickness of 2 mm and voltage sensitivity of 0.055 V m/N is subjected to a pressure of 1.5 MN/m². The voltage output will be