BARC Full Syllabus Test 12 for ESE & GATE EC Exams

Question 1

Consider the circuit shown in figure (a), the signal applied as input to the circuit is V_in [shown in figure (b)]

The voltage across diode V_D is given as (Assuming diode to be ideal)

Question 2

Match List-I (Type of Noise) with List-II (Its property) and select the correct answer using the code given below the lists:
List-I
A). Shot noise
B). Thermal noise
C). White noise
D). Narrow band noise
List-II
1). Noise generated in a resistor
2). Power spectral density is independent of frequency
3). Temperature-limited
4). Noise at the output of a filter

Question 3

A square waveguide carries TE₁₁ mode whose axial magnetic field is given by H_z = H₀ cos(

x/

) cos(

y/

) A/m, where waveguide dimensions are in cm. What is the cut-off frequency of the mode?

Question 4

What is the value of R_S required to self bias an N channel JFET with V_P = - 10 V, I_DSS = 40mA and V_GSQ = - 5V?

Question 5

Two statistically independent random variable X and Y have mean values E[X] = 3 and E[Y] = 6 and the second moments are E[X²] = 27 and E[Y²] = 36 respectively.
If, Z=4X-Y
The second moment of Z is ______.

Question 6

The h parameters of the circuit shown in figure are

2020-07-23.png (1920×1080)

Question 7

A steel pipe is constructed of a material for which

_r=200 and

=5x10⁶ mho/m. The outer and inner radii are 8 and 6 mm respectively and the length is 80m. If the total current carried by the pipe is 2cos10⁴

t A, Then the skin depth will be

Question 8

For the lattice circuit shown in Figure, Z_a = j2 and Z_b = 2. The values of the open circuit impedance parameters $Description: D:\GradeStack Courses\GATE Tests (Sent by Ravi)\GATE EC-ME-17-Mar\GATE-ECE-2004_files\image088.png$
$Description: D:\GradeStack Courses\GATE Tests (Sent by Ravi)\GATE EC-ME-17-Mar\GATE-ECE-2004_files\image089.png$

Question 9

Find minterms and maxterms respectively for the given function
f(XYZ)= XY+X'Z

Question 10

The Nyquist plot of the transfer function G(s) =

does not encircle the point (1+j0) for K=10 but does encircle the point (-1+j0) for K=100. The the closed loop system (having unity gain feedback) is

Question 11

To implement the simplified value of the following Boolean functions minimum of how many AND, NOT and OR gate are required
f(A,B,C,D)=

Question 12

A unity feedback control system is characterized by the open-loop transfer function
G(s)=

The Nyquist path and the corresponding Nyquist plot of G(s) are shown in the figures below.

If 0 < K < 1, then the number of poles of the closed-loop transfer function that lie in the right – half of the s-plane is

Question 13

The responsivity of the PIN photodiode shown is 0.9 A/W. To obtain V_out of -1 V for an incident optical power of 1 mW, the value of R to be used is

Question 14

A librarian imposes 5 penalties a day for books not returned on time. If the penalties imposed follow Poisson distribution then the probability that there are less than 4 penalties a day is

Question 15

The Laplace transform of a function f(t) is L(f) =

Then, f(t) is