Electronics and Communication Engineering
GATE ECE purpose:exam-prep PYQs
Build your understanding with focused practice from past exam papers.
Questions 361–370 of 715. Imported answers require independent review unless marked reviewed.
Question 26
Open questionECMCQ2 marksNeeds review
Consider the integral
where
is a counter-clockwise oriented circle defined as
. The value of the integral isYour answerChoose one option.
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Open questionECMCQ2 marksNeeds review
A box contains the following three coins.
I. A fair coin with head on one face and tail on the other face.
II. A coin with heads on both the faces.
III. A coin with tails on both the faces.
A coin is picked randomly from the box and tossed. Out of the two remaining coins in the box, one coin is then picked randomly and tossed. If the first toss results in a head, the probability of getting a head in the second toss is
Your answerChoose one option.
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You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 28
Open questionECMCQ2 marksNeeds review
The switch in the circuit in the figure is in position P for a long time and then moved to position Q at time
. 
The value of
at
isYour answerChoose one option.
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Open questionECMCQ2 marksNeeds review
Consider the two-port network shown in the figure.
The admittance parameters, in siemens, are
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Open questionECMCQ2 marksNeeds review
For an n-channel silicon MOSFET with 10 nm gate oxide thickness, the substrate sensitivity
is found to be 50 mV/V at a substrate voltage
V, where
is the threshold voltage of the MOSFET. Assume that,
, where
is the separation between the Fermi energy level
and the intrinsic level
in the bulk. Parameters given areElectron charge
C
Vacuum permittivity
F/m
Relative permittivity of silicon
Relative permittivity of oxide
The doping concentration of the substrate is
Your answerChoose one option.
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You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 31
Open questionECMCQ2 marksNeeds review
The propagation delays of the XOR gate, AND gate and multiplexer (MUX) in the circuit shown in the figure are 4 ns, 2 ns and 1 ns, respectively.
If all the inputs P, Q, R, S and T are applied simultaneously and held constant, the maximum propagation delay of the circuit is
Your answerChoose one option.
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Open questionECMCQ2 marksNeeds review
The content of the registers are R₁ = 25H, R₂ = 30H and R₃ = 40H. The following machine instructions are executed.
PUSH{R₁}
PUSH{R₂}
PUSH{R₃}
POP{R₁}
POP{R₂}
POP{R₃}
After execution, the content of registers R₁, R₂, R₃ are
Your answerChoose one option.
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Open questionECMCQ2 marksNeeds review
The electrical system shown in the figure converts input source current
to output voltage
. 
Current
in the inductor and voltage
across the capacitor are taken as the state variables, both assumed to be initially equal to zero, i.e.,
and
. The system isYour answerChoose one option.
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Open questionECMCQ2 marksNeeds review
A digital transmission system uses a (7, 4) systematic linear Hamming code for transmitting data over a noisy channel. If three of the message-codeword pairs in this code
, where
is the codeword corresponding to the
message
, are known to be (1100; 0101100), (1110; 0011110) and (0110; 1000110), then which of the following is a valid codeword in this code?Your answerChoose one option.
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Open questionECMCQ2 marksNeeds review
The impedance matching network shown in the figure is to match a lossless line having characteristic impedance
with a load impedance
. A quarter-wave line having a characteristic impedance
is connected to
. Two stubs having characteristic impedance of 75 Ω each are connected to this quarter-wave line. One is a short-circuited (S.C.) stub of length
connected across PQ and the other is an open-circuited (O.C.) stub of length
connected across RS. 
The impedance matching is achieved when the real part of
isYour answerChoose one option.
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