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BARC Full Syllabus Test 12
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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?
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 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
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
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 2cos104t A, Then the skin depth will be Question 8
For the lattice circuit shown in Figure, Za = j2 and Zb = 2. The values of the open circuit impedance parameters 
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
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)=
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
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 Vout 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
Then, f(t) is- 180 attempts
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