Time Left - 18:00 mins
BARC Full Syllabus Test 12
Attempt now to get your rank among 180 students!
Question 1
Consider the circuit shown in figure (a), the signal applied as input to the circuit is Vin [shown in figure (b)]
The voltage across diode VD 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
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 Hz = H0 cos(
x/
) cos(
y/
) A/m, where waveguide dimensions are in cm. What is the cut-off frequency of the mode?
![](https://gradeup-question-images.grdp.co/liveData/PROJ11989/1523357863030480.png)
![](https://gradeup-question-images.grdp.co/liveData/PROJ11989/1523357863787564.png)
![](https://gradeup-question-images.grdp.co/liveData/PROJ11989/1523357864556633.png)
![](https://gradeup-question-images.grdp.co/liveData/PROJ11989/1523357865315948.png)
Question 4
What is the value of RS required to self bias an N channel JFET with VP = - 10 V, IDSS = 40mA and VGSQ = - 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 ______.
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)](https://lh3.googleusercontent.com/-ri5AdApv8EA/Xxl7XF5a0HI/AAAAAAAAHFs/IOLXkfMkiQw6CsogO7cMcC_xTj790S7HwCK8BGAsYHg/s0/2020-07-23.png)
![2020-07-23.png (1920×1080)](https://lh3.googleusercontent.com/-ri5AdApv8EA/Xxl7XF5a0HI/AAAAAAAAHFs/IOLXkfMkiQw6CsogO7cMcC_xTj790S7HwCK8BGAsYHg/s0/2020-07-23.png)
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
![](https://gradeup-question-images.grdp.co/liveData/PROJ11624/1523428631805467.png)
![](https://gradeup-question-images.grdp.co/liveData/PROJ11624/1523428632538267.png)
![](https://gradeup-question-images.grdp.co/liveData/PROJ11624/1523428633269238.png)
Question 8
For the lattice circuit shown in Figure, Za = j2 and Zb = 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\image089.png](https://gs-question-images.grdp.co/1458200667244310.png)
![Description: D:\GradeStack Courses\GATE Tests (Sent by Ravi)\GATE EC-ME-17-Mar\GATE-ECE-2004_files\image088.png](https://gs-question-images.grdp.co/1458200666566876.png)
![Description: D:\GradeStack Courses\GATE Tests (Sent by Ravi)\GATE EC-ME-17-Mar\GATE-ECE-2004_files\image089.png](https://gs-question-images.grdp.co/1458200667244310.png)
Question 9
Find minterms and maxterms respectively for the given function
f(XYZ)= XY+X'Z
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
![](https://gradeup-question-images.grdp.co/liveData/PROJ5573/1497878781660111.png)
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)=
f(A,B,C,D)=
![](https://gradeup-question-images.grdp.co/liveData/PROJ6208/1513934811805620.png)
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
G(s)=
![](https://gradeup-question-images.grdp.co/liveData/PROJ5640/1498035354311396.png)
The Nyquist path and the corresponding Nyquist plot of G(s) are shown in the figures below.
![](https://gradeup-question-images.grdp.co/liveData/PROJ5640/1498035354958399.png)
![](https://gradeup-question-images.grdp.co/liveData/PROJ5640/1498035355815833.png)
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 Vout of -1 V for an incident optical power of 1 mW, the value of R to be used is
![](https://gradeup-question-images.grdp.co/liveData/PROJ4798/1498210038335894.png)
![](https://gradeup-question-images.grdp.co/liveData/PROJ4798/1498210038335894.png)
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
![](https://gradeup-question-images.grdp.co/liveData/PROJ44654/1582528087182671.png)
- 180 attempts
- 0 upvotes
- 1 comment
Tags :
ESE & GATE ECGeneralSep 7ESE & GATE EC