Electronics and Communication Engineering
GATE ECE branch:ec PYQs
Build your understanding with focused practice from past exam papers.
Questions 291–300 of 715. Imported answers require independent review unless marked reviewed.
Question 31
Open questionECNAT1 markNeeds review
The bar graph shows the frequency of the number of wickets taken in a match by a bowler in her career. For example, in 17 of her matches, the bowler has taken 5 wickets each. The median number of wickets taken by the bowler in a match is ________ (rounded off to one decimal place).
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Open questionECNAT1 markNeeds review
A simple closed path
in the complex plane is shown in the figure. If
where
, then the value of
is ______ (rounded off to two decimal places). 
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Open questionECNAT1 markNeeds review
Let
and
, where
denotes the unit step function.If
denotes the convolution of
and
, then
________ (rounded off to one decimal place).Log in to check the answer
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Open questionECNAT1 markNeeds review
An ideal MOS capacitor (
-type semiconductor) is shown in the figure. The MOS capacitor is under strong inversion with
V. The corresponding inversion charge density (
) is 2.2
C/cm
. Assume oxide capacitance per unit area as
F/cm
. For
V, the value of
is _____
C/cm
(rounded off to one decimal place). 
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Open questionECNAT1 markNeeds review
A symbol stream contains alternate QPSK and 16-QAM symbols. If symbols from this stream are transmitted at the rate of 1 mega-symbols per second, the raw (uncoded) data rate is ______ mega-bits per second (rounded off to one decimal place).
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Open questionECMCQ2 marksNeeds review
The function
attains its minimum over the interval
at
________. (Here
is the natural logarithm of
.)Your answerChoose one option.
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Open questionECMCQ2 marksNeeds review
Let
be two non-zero real numbers and
be two non-zero real vectors of size
. Suppose that
and
satisfy
,
, and
. Let
be the
matrix given by:
The eigenvalues of
are ________.Your answerChoose one option.
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Open questionECMCQ2 marksNeeds review
For the circuit shown, the locus of the impedance
is plotted as
increases from zero to infinity. The values of
and
are: 
Your answerChoose one option.
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Open questionECMCQ2 marksNeeds review
Consider the circuit shown in the figure with input
in volts. The sinusoidal steady state current
flowing through the circuit is shown graphically (where
is in seconds). The circuit element
can be ______. 
Your answerChoose one option.
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Open questionECMCQ2 marksNeeds review
Consider an ideal long channel nMOSFET (enhancement-mode) with gate length 10 μm and width 100 μm. The product of electron mobility (
) and oxide capacitance per unit area (
) is
mA/V
. The threshold voltage of the transistor is 1 V. For a gate-to-source voltage
V and drain-to-source voltage
V (substrate connected to the source), the maximum value of the drain-to-source current is ______.Your answerChoose one option.
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