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2001
GATE ECE 2020 | GA Question: 5
A superadditive function $f(\cdot)$ satisfies the following property $f\left ( x_{1} +x_{2}\right )\geq f\left ( x_{1} \right ) + f\left ( x_{2} \right )$ Which of the following functions is a superadditive function for $x > 1$? $e^{x}$ $\sqrt{x}$ $1/x$ $e^{-x}$
A superadditive function $f(\cdot)$ satisfies the following property $$f\left ( x_{1} +x_{2}\right )\geq f\left ( x_{1} \right ) + f\left ( x_{2} \right )$$Which of the f...
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1.9k
points
1.3k
views
go_editor
asked
Feb 13, 2020
Quantitative Aptitude
gate2020-ec
numerical-ability
functions
+
–
1
votes
2
answers
2002
GATE ECE 2020 | GA Question: 6
The global financial crisis in $2008$ is considered to be the most serious world-wide financial crisis, which started with the sub-prime lending crisis in $\text{USA}$ in $2007$. The sub-prime lending crisis led to the ... $\rightarrow$ East Asian crisis$\rightarrow$ banking crisis$\rightarrow$ subprime lending crisis.
The global financial crisis in $2008$ is considered to be the most serious world-wide financial crisis, which started with the sub-prime lending crisis in $\text{USA}$ in...
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1.9k
points
496
views
go_editor
asked
Feb 13, 2020
Verbal Aptitude
gate2020-ec
verbal-ability
verbal-reasoning
passage-reading
+
–
1
votes
1
answer
2003
GATE ECE 2020 | GA Question: 7
It is quarter past three in your watch. The angle between the hour hand and the minute hand is ________. $0^{\circ}$ $7.5^{\circ}$ $15^{\circ}$ $22.5^{\circ}$
It is quarter past three in your watch. The angle between the hour hand and the minute hand is ________.$0^{\circ}$$7.5^{\circ}$$15^{\circ}$$22.5^{\circ}$
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1.9k
points
702
views
go_editor
asked
Feb 13, 2020
Quantitative Aptitude
gate2020-ec
numerical-ability
clock-time
+
–
1
votes
1
answer
2004
GATE ECE 2020 | GA Question: 8
A circle with centre $\text{O}$ is shown in the figure. A rectangle $\text{PQRS}$ of maximum possible area is inscribed in the circle. If the radius of the circle is $a$, then the area of the shaded portion is _______. $\pi a^{2}-a^{2}$ $\pi a^{2}-\sqrt{2}a^{2}$ $\pi a^{2}-2a^{2}$ $\pi a^{2}-3a^{2}$
A circle with centre $\text{O}$ is shown in the figure. A rectangle $\text{PQRS}$ of maximum possible area is inscribed in the circle. If the radius of the circle is $a$,...
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1.9k
points
2.6k
views
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asked
Feb 13, 2020
Quantitative Aptitude
gate2020-ec
numerical-ability
geometry
circle
area
+
–
2
votes
1
answer
2005
GATE ECE 2020 | GA Question: 9
$a, b, c$ are real numbers. The quadratic equation $ax^{2}-bx+c=0$ has equal roots, which is $\beta$, then $\beta =b/a$ $\beta^{2} =ac$ $\beta^{3} =bc/\left ( 2a^{2} \right )$ $\beta^{2} \neq 4ac$
$a, b, c$ are real numbers. The quadratic equation $ax^{2}-bx+c=0$ has equal roots, which is $\beta$, then$\beta =b/a$$\beta^{2} =ac$$\beta^{3} =bc/\left ( 2a^{2} \right ...
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1.9k
points
722
views
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asked
Feb 13, 2020
Quantitative Aptitude
gate2020-ec
numerical-ability
quadratic-equations
+
–
1
votes
2
answers
2006
GATE ECE 2020 | GA Question: 10
The following figure shows the data of students enrolled in $5$ years $(2014\;\text{to}\; 2018)$ for two schools $P$ and $Q$. During this period, the ratio of the average number of the students enrolled in school $P$ to the average of the difference of the number of students enrolled in schools $P$ and $Q$ is _______. $8 : 23$ $23 : 8$ $23 : 31$ $31 : 23$
The following figure shows the data of students enrolled in $5$ years $(2014\;\text{to}\; 2018)$ for two schools $P$ and $Q$. During this period, the ratio of the average...
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1.9k
points
1.7k
views
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asked
Feb 13, 2020
Quantitative Aptitude
gate2020-ec
numerical-ability
data-interpretation
bar-graph
+
–
0
votes
0
answers
2007
GATE ECE 2020 | Question: 1
If $v_{1},v_{2}, \dots ,v_{6}$ are six vectors in $\mathbb{R}^{4}$ , which one of the following statements is $\text{FALSE}$? It is not necessary that these vectors span $\mathbb{R}^{4}$. These vectors are not linearly independent. Any four of these vectors form a basis ... $\mathbb{R}^{4}$ , then it forms a basis for $\mathbb{R}^{4}$.
If $v_{1},v_{2}, \dots ,v_{6}$ are six vectors in $\mathbb{R}^{4}$ , which one of the following statements is $\text{FALSE}$?It is not necessary that these vectors span $...
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1.9k
points
433
views
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asked
Feb 13, 2020
Vector Analysis
gate2020-ec
vector-analysis
+
–
1
votes
0
answers
2008
GATE ECE 2020 | Question: 2
For a vector field $\overrightarrow{A}$, which one of the following is $\text{FALSE}$? $\overrightarrow{A}$ is solenoidal if $\triangledown \cdot \overrightarrow{A}=0.$ $\triangledown \times \overrightarrow{A}$ ...
For a vector field $\overrightarrow{A}$, which one of the following is $\text{FALSE}$?$\overrightarrow{A}$ is solenoidal if $\triangledown \cdot \overrightarrow{A}=0.$$\t...
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1.9k
points
415
views
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asked
Feb 13, 2020
Vector Analysis
gate2020-ec
vector-analysis
+
–
0
votes
0
answers
2009
GATE ECE 2020 | Question: 3
The partial derivative of the function $f(x, y, z) = e^{1-x\cos y} + xze^{-1/(1+y^{2})}$ with respect to $x$ at the point $(1,0,e)$ is $-1$ $0$ $1 \\$ $\dfrac{1}{e}$
The partial derivative of the function$$f(x, y, z) = e^{1-x\cos y} + xze^{-1/(1+y^{2})}$$with respect to $x$ at the point $(1,0,e)$ is$-1$$0$$1 \\$$\dfrac{1}{e}$
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1.9k
points
330
views
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asked
Feb 13, 2020
Calculus
gate2020-ec
calculus
derivatives
partial-derivatives
+
–
0
votes
0
answers
2010
GATE ECE 2020 | Question: 4
The general solution of $\dfrac{\mathrm{d^{2}} y}{\mathrm{d} x^{2}}-6\dfrac{\mathrm{d} y}{\mathrm{d} x}+9y=0$ is $y=C_{1}e^{3x}+C_{2}e^{-3x}$ $y=(C_{1}+C_{2}x)e^{-3x}$ $y=(C_{1}+C_{2}x)e^{3x}$ $y=C_{1}e^{3x}$
The general solution of $\dfrac{\mathrm{d^{2}} y}{\mathrm{d} x^{2}}-6\dfrac{\mathrm{d} y}{\mathrm{d} x}+9y=0$ is$y=C_{1}e^{3x}+C_{2}e^{-3x}$$y=(C_{1}+C_{2}x)e^{-3x}$$y=(C...
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1.9k
points
227
views
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asked
Feb 13, 2020
Differential Equations
gate2020-ec
differential-equations
second-order-differential-equation
+
–
0
votes
0
answers
2011
GATE ECE 2020 | Question: 5
The output $y[n]$ of a discrete-time system for an input $x[n]$ is $y\left [ n \right ]=\underset{-\infty \leq k\leq n}{\text{max}} \mid x\left [ k \right ] \mid$ The unit impulse response of the system is $0$ for all $n$. $1$ for all $n$. unit step signal $u\left [ n \right ].$ unit impulse signal $\delta \left [ n \right ].$
The output $y[n]$ of a discrete-time system for an input $x[n]$ is$$y\left [ n \right ]=\underset{-\infty \leq k\leq n}{\text{max}} \mid x\left [ k \right ] \mid$$The uni...
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1.9k
points
235
views
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asked
Feb 13, 2020
Continuous-time Signals
gate2020-ec
continuous-time-signals
signals-and-systems
discrete-time-signals
impulse-response
+
–
0
votes
0
answers
2012
GATE ECE 2020 | Question: 6
A single crystal intrinsic semiconductor is at a temperature of $300$ $\text{K}$ with effective density of states for holes twice that of electrons. The thermal voltage is $26$ mV. The intrinsic Fermi level is shifted from mid-bandgap energy level by $18.02 \: meV$ $9.01 \: meV$ $13.45 \: meV$ $26.90 \: meV$
A single crystal intrinsic semiconductor is at a temperature of $300$ $\text{K}$ with effective density of states for holes twice that of electrons. The thermal voltage i...
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1.9k
points
222
views
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asked
Feb 13, 2020
Digital Circuits
gate2020-ec
digital-circuits
semiconductor
+
–
0
votes
0
answers
2013
GATE ECE 2020 | Question: 7
Consider the recombination process via bulk traps in a forward biased $pn$ homojunction diode. The maximum recombination rate is $U_{\text{max}}$ ... bias. With all other parameters unchanged, $U_{\text{max}}$ increases if the thermal velocity of the carriers increases.
Consider the recombination process via bulk traps in a forward biased $pn$ homojunction diode. The maximum recombination rate is $U_{\text{max}}$. If the electron and the...
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1.9k
points
225
views
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asked
Feb 13, 2020
Electronic Devices
gate2020-ec
electronic-devices
+
–
1
votes
0
answers
2014
GATE ECE 2020 | Question: 8
The components in the circuit shown below are ideal. If the op-amp is in positive feedback and the input voltage $V_{i}$ is a sine wave of amplitude $1$ $\text{V}$, the output voltage $V_{o}$ is a non-inverted sine wave of $2$ $\text{V}$ amplitude. an inverted sine ... . a square wave of $5$ $\text{V}$ amplitude. a constant of either $+5$ $\text{V}$ or $-5$ $\text{V}$.
The components in the circuit shown below are ideal. If the op-amp is in positive feedback and the input voltage $V_{i}$ is a sine wave of amplitude $1$ $\text{V}$, the o...
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1.9k
points
611
views
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asked
Feb 13, 2020
Communications
gate2020-ec
communications
amplitude
+
–
0
votes
0
answers
2015
GATE ECE 2020 | Question: 9
In the circuit shown below, the Thevenin voltage $V_{TH}$is $2.4\:V$ $2.8\:V$ $3.6\:V$ $4.5\:V$
In the circuit shown below, the Thevenin voltage $V_{TH}$is $2.4\:V$$2.8\:V$$3.6\:V$$4.5\:V$
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1.9k
points
307
views
go_editor
asked
Feb 13, 2020
Network Solution Methods
gate2020-ec
network-solution-methods
thevenin-theorem
+
–
2
votes
1
answer
2016
GATE ECE 2020 | Question: 10
The figure below shows a multiplexer where $S_{1}$ and $S_{0}$ are the select lines, $I_{0}$ to $I_{3}$ are the input data lines, $\text{EN}$ is the enable line, and $\text{F(P, Q, R)}$ is the output. $\text{F}$ is $PQ+\overline{Q}R.$ $PQ+Q\overline{R}.$ $P\overline{Q}R+\overline{P}Q.$ $\overline{Q}+PR.$
The figure below shows a multiplexer where $S_{1}$ and $S_{0}$ are the select lines, $I_{0}$ to $I_{3}$ are the input data lines, $\text{EN}$ is the enable line, and $\te...
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1.9k
points
665
views
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asked
Feb 13, 2020
Number Representations
gate2020-ec
digital-circuits
combinational-circuits
multiplexers
+
–
0
votes
0
answers
2017
GATE ECE 2020 | Question: 11
The pole-zero map of a rational function $G(s)$ is shown below. When the closed contour $\Gamma$ is mapped into the $G(s)$-plane, then the mapping encircles the origin of the $G(s)$-plane once in the counter-clockwise direction. the origin of the ... $-1 + j0$ of the $G(s)$-plane once in the clockwise direction.
The pole-zero map of a rational function $G(s)$ is shown below. When the closed contour $\Gamma$ is mapped into the $G(s)$-plane, then the mapping encircles ...
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1.9k
points
300
views
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asked
Feb 13, 2020
Continuous-time Signals
gate2020-ec
continuous-time-signals
poles-and-zeros
+
–
0
votes
0
answers
2018
GATE ECE 2020 | Question: 12
A digital communication system transmits a block of $N$ bits. The probability of error in decoding a bit is $\alpha$. The error event of each bit is independent of the error events of the other bits. The received block is declared erroneous if at least one of its bits is decoded ... $\alpha ^{N}$ $1-\alpha ^{N}$ $1-\left ( 1-\alpha \right )^{N}$
A digital communication system transmits a block of $N$ bits. The probability of error in decoding a bit is $\alpha$. The error event of each bit is independent of the er...
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1.9k
points
362
views
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asked
Feb 13, 2020
Communications
gate2020-ec
digital-communications
communications
+
–
0
votes
0
answers
2019
GATE ECE 2020 | Question: 13
The impedances $Z=jX,$ for all $X$ in the range $\left ( -\infty ,\infty \right )$, map to the Smith chart as a circle of radius $1$ with centre at $(0, 0)$. a point at the centre of the chart. a line passing through the centre of the chart. a circle of radius $0.5$ with centre at $(0.5, 0)$.
The impedances $Z=jX,$ for all $X$ in the range $\left ( -\infty ,\infty \right )$, map to the Smith chart asa circle of radius $1$ with centre at $(0, 0)$.a point at the...
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1.9k
points
168
views
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asked
Feb 13, 2020
Electromagnetics
gate2020-ec
impedance
electromagnetics
+
–
0
votes
0
answers
2020
GATE ECE 2020 | Question: 14
Which one of the following pole-zero plots corresponds to the transfer function of an $\text{LTI}$ system characterized by the input-output difference equation given below? $y\left [ n \right ]=\sum ^{3}_{k=0}\left ( -1 \right )^{k}x\left [ n-k \right ]$
Which one of the following pole-zero plots corresponds to the transfer function of an $\text{LTI}$ system characterized by the input-output difference equation given belo...
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1.9k
points
190
views
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asked
Feb 13, 2020
Continuous-time Signals
gate2020-ec
poles-and-zeros
continuous-time-signals
+
–
0
votes
0
answers
2021
GATE ECE 2020 | Question: 15
In the given circuit, the two-port network has the impedance matrix $\begin{bmatrix} Z \end{bmatrix}=\begin{bmatrix} 40 & 60\\ 60& 120 \end{bmatrix}$. The value of $Z_{L}$ for which maximum power is transferred to the load is _____________$\Omega$.
In the given circuit, the two-port network has the impedance matrix $\begin{bmatrix} Z \end{bmatrix}=\begin{bmatrix} 40 & 60\\ 60& 120 \end{bmatrix}$. The value of $Z_{L}...
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1.9k
points
256
views
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asked
Feb 13, 2020
Network Solution Methods
gate2020-ec
numerical-answers
network-solution-methods
two-port-network
+
–
0
votes
0
answers
2022
GATE ECE 2020 | Question: 16
The current in the $\text{RL}$-circuit shown below is $i\left ( t \right )=10\cos\left ( 5t-\pi /4 \right )A$. The value of the inductor $\text{(rounded off to two decimal places)}$ is _______ $\text{H}$.
The current in the $\text{RL}$-circuit shown below is $i\left ( t \right )=10\cos\left ( 5t-\pi /4 \right )A$. The value of the inductor $\text{(rounded off to two decima...
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1.9k
points
235
views
go_editor
asked
Feb 13, 2020
Network Solution Methods
gate2020-ec
numerical-answers
network-solution-methods
+
–
0
votes
0
answers
2023
GATE ECE 2020 | Question: 17
In the circuit shown below, all the components are ideal and the input voltage is sinusoidal. The magnitude of the steady-state output $V_{o}$ ( rounded off to two decimal places) is ______ $V$.
In the circuit shown below, all the components are ideal and the input voltage is sinusoidal. The magnitude of the steady-state output $V_{o}$ ( rounded off to two decima...
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1.9k
points
196
views
go_editor
asked
Feb 13, 2020
Network Solution Methods
gate2020-ec
numerical-answers
network-solution-methods
steady-state
sinusoidal
+
–
1
votes
1
answer
2024
GATE ECE 2020 | Question: 18
In the circuit shown below, all the components are ideal. If $V_{i}$ is $+2\:V$, the current $I_{o}$ sourced by the op-amp is __________ $\text{mA}$.
In the circuit shown below, all the components are ideal. If $V_{i}$ is $+2\:V$, the current $I_{o}$ sourced by the op-amp is __________ $\text{mA}$.
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1.9k
points
279
views
go_editor
asked
Feb 13, 2020
Analog Circuits
gate2020-ec
numerical-answers
op-amps
analog-circuits
+
–
0
votes
0
answers
2025
GATE ECE 2020 | Question: 19
In an $8085$ microprocessor, the number of address lines required to access a $16$ K byte memory bank is ____________ .
In an $8085$ microprocessor, the number of address lines required to access a $16$ K byte memory bank is ____________ .
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1.9k
points
143
views
go_editor
asked
Feb 13, 2020
Digital Circuits
gate2020-ec
numerical-answers
digital-circuits
microprocessor-8085
+
–
0
votes
0
answers
2026
GATE ECE 2020 | Question: 20
A $10$-bit D/A converter is calibrated over the full range from $0$ to $10$ V. If the input to the D/A converter is $13 \:A$ (in hex), the output ( rounded off to three decimal places) is __________ $V$.
A $10$-bit D/A converter is calibrated over the full range from $0$ to $10$ V. If the input to the D/A converter is $13 \:A$ (in hex), the output ( rounded off to three d...
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1.9k
points
189
views
go_editor
asked
Feb 13, 2020
Digital Circuits
gate2020-ec
numerical-answers
digital-circuits
data-converters
+
–
0
votes
0
answers
2027
GATE ECE 2020 | Question: 21
A transmission line of length $3\lambda /4$ and having a characteristic impedance of $50$ $\Omega$ is terminated with a load of $400 \Omega$. The impedance (rounded off to two decimal places) seen at the input end of the transmission line is __________ $\Omega$.
A transmission line of length $3\lambda /4$ and having a characteristic impedance of $50$ $\Omega$ is terminated with a load of $400 \Omega$. The impedance (rounded off t...
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1.9k
points
165
views
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asked
Feb 13, 2020
Electromagnetics
gate2020-ec
numerical-answers
impedance
electromagnetics
+
–
0
votes
0
answers
2028
GATE ECE 2020 | Question: 22
A binary random variable $X$ takes the value $+2$ or $-2$. The probability $P(X=+2)=\alpha $. The value of $\alpha$ (rounded off to one decimal place), for which the entropy of $X$ is maximum, is __________.
A binary random variable $X$ takes the value $+2$ or $-2$. The probability $P(X=+2)=\alpha $. The value of $\alpha$ (rounded off to one decimal place), for which the entr...
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1.9k
points
181
views
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asked
Feb 13, 2020
Communications
gate2020-ec
numerical-answers
entropy
communications
+
–
0
votes
0
answers
2029
GATE ECE 2020 | Question: 23
The loop transfer function of a negative feedback system is $G\left ( s \right )H\left ( s \right )=\frac{K(s+11)}{s(s+2)(s+8)}.$ The value of $K$, for which the system is marginally stable, is ___________.
The loop transfer function of a negative feedback system is $$G\left ( s \right )H\left ( s \right )=\frac{K(s+11)}{s(s+2)(s+8)}.$$ The value of $K$, for which the system...
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1.9k
points
207
views
go_editor
asked
Feb 13, 2020
Network Solution Methods
gate2020-ec
numerical-answers
network-solution-methods
transfer-function
+
–
0
votes
0
answers
2030
GATE ECE 2020 | Question: 24
The random variable $Y=\int_{-\infty }^{\infty }W\left ( t \right )\phi \left ( t \right )dt, \text{ where } \phi \left ( t \right )=\begin{cases} 1; & 5\leq t\leq 7 &\\ 0; & \text{otherwise} \end{cases}$ and $W(t)$ is ... noise process with two-sided power spectral density $S_{W}\left ( f \right )=3 W/Hz$, for all $f$. The variance of $Y$ is ________.
The random variable $$Y=\int_{-\infty }^{\infty }W\left ( t \right )\phi \left ( t \right )dt, \text{ where } \phi \left ( t \right )=\begin{cases} 1; & 5\leq t\leq 7 &\\...
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1.9k
points
260
views
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asked
Feb 13, 2020
Vector Analysis
gate2020-ec
numerical-answers
vector-analysis
gausss-theorem
+
–
1
votes
1
answer
2031
GATE ECE 2020 | Question: 25
The two sides of a fair coin are labelled as $0$ to $1$. The coin is tossed two times independently. Let $M$ and $N$ denote the labels corresponding to the outcomes of those tosses. For a random variable $X$, defined as $X = \text{min}(M, N)$, the expected value $E(X)$ (rounded off to two decimal places) is ___________.
The two sides of a fair coin are labelled as $0$ to $1$. The coin is tossed two times independently. Let $M$ and $N$ denote the labels corresponding to the outcomes of th...
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1.9k
points
368
views
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asked
Feb 13, 2020
Probability and Statistics
gate2020-ec
numerical-answers
probability-and-statistics
probability
independent-events
random-variable
expectation
+
–
0
votes
0
answers
2032
GATE ECE 2020 | Question: 26
Consider the following system of linear equations. $\begin{array}{llll} x_{1}+2x_{2}=b_{1} ; & 2x_{1}+4x_{2}=b_{2}; & 3x_{1}+7x_{2}=b_{3} ; & 3x_{1}+9x_{2}=b_{4} \end{array}$ Which one of the following conditions ensures that a solution exists for the above system? ... $b_{2}=2b_{1}$ and $3b_{1}-6b_{3}+b_{4}=0$ $b_{3}=2b_{1}$ and $3b_{1}-6b_{3}+b_{4}=0$
Consider the following system of linear equations.$\begin{array}{llll} x_{1}+2x_{2}=b_{1} ; & 2x_{1}+4x_{2}=b_{2}; & 3x_{1}+7x_{2}=b_{3} ; & 3x_{1}+9x_{2}=b_{4} \end{ar...
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1.9k
points
139
views
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asked
Feb 13, 2020
Linear Algebra
gate2020-ec
linear-algebra
system-of-equations
+
–
0
votes
0
answers
2033
GATE ECE 2020 | Question: 27
Which one of the following options contains two solutions of the differential equation $\dfrac{\mathrm{d} y}{\mathrm{d} x}=\left ( y-1 \right )x?$ $\ln\mid y-1 \mid=0.5x^{2}+C$ and $y=1$ $\ln\mid y-1 \mid=2x^{2}+C$ and $y=1$ $\ln\mid y-1 \mid=0.5x^{2}+C$ and $y=-1$ $\ln\mid y-1 \mid=2x^{2}+C$ and $y=-1$
Which one of the following options contains two solutions of the differential equation $\dfrac{\mathrm{d} y}{\mathrm{d} x}=\left ( y-1 \right )x?$$\ln\mid y-1 \mid=0.5x^{...
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1.9k
points
124
views
go_editor
asked
Feb 13, 2020
Differential Equations
gate2020-ec
differential-equations
+
–
1
votes
0
answers
2034
GATE ECE 2020 | Question: 28
The current $I$ in the given network is $0 \: A$ $2.38\angle -96.37^{\circ}A$ $2.38\angle143.63^{\circ}A$ $2.38\angle-23.63^{\circ}A$
The current $I$ in the given network is $0 \: A$$2.38\angle -96.37^{\circ}A$$2.38\angle143.63^{\circ}A$$2.38\angle-23.63^{\circ}A$
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1.9k
points
126
views
go_editor
asked
Feb 13, 2020
Network Solution Methods
gate2020-ec
network-solution-methods
+
–
0
votes
2
answers
2035
GATE ECE 2020 | Question: 29
A finite duration discrete-time signal $x[n]$ is obtained by sampling the continuous-time signal $x\left ( t \right )=\cos\left ( 200\pi t \right )$ at sampling instants $t=n/400, n=0, 1, \dots ,7.$ The $8$-point discrete Fourier transform $\text{(DFT)}$ of $x[n]$ is ... Only $X[4]$ is non-zero. Only $X[2]$ and $X[6]$ are non-zero. Only $X[3]$ and $X[5]$ are non-zero.
A finite duration discrete-time signal $x[n]$ is obtained by sampling the continuous-time signal $x\left ( t \right )=\cos\left ( 200\pi t \right )$ at sampling instants ...
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1.9k
points
371
views
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asked
Feb 13, 2020
Continuous-time Signals
gate2020-ec
continuous-time-signals
signals-and-systems
discrete-time-signals
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1
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2036
GATE ECE 2020 | Question: 30
For the given circuit, which one of the following is correct state equation? ...
For the given circuit, which one of the following is correct state equation? $\dfrac{\mathrm{d} }{\mathrm{d} t}\begin{bmatrix} v\\ i \end{b...
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Feb 13, 2020
Network Solution Methods
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network-solution-methods
state-equations
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0
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2037
GATE ECE 2020 | Question: 31
A one-sided abrupt $pn$ junction diode has a depletion capacitance $C_{D}$ of $50$ $\text{pF}$ at a reverse bias of $0.2 V$. The plot of $1/C^{2}_{D}$ versus the applied voltage $V$ for this diode is a straight line as shown in the figure below. The slope of the plot is ___________ $\times 10^{20}F^{-2}V^{-1}$. $-5.7$ $-3.8$ $-1.2$ $-0.4$
A one-sided abrupt $pn$ junction diode has a depletion capacitance $C_{D}$ of $50$ $\text{pF}$ at a reverse bias of $0.2 V$. The plot of $1/C^{2}_{D}$ versus the applied ...
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Feb 13, 2020
Electronic Devices
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electronic-devices
p-n-junction-diode
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0
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0
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2038
GATE ECE 2020 | Question: 32
The band diagram of a $p$-type semiconductor with a band-gap of $1$ eV is shown. Using this semiconductor, a $\text{MOS}$ capacitor having $V_{TH}$ of $-0.16 V$, ${C}'_{ox}$ of $100\:nF/cm^{2}$ and a metal work function of $3.87 \: eV$ is fabricated. There is no ... $1.70\times 10^{-8}$ $0.52\times 10^{-8}$ $1.41\times 10^{-8}$ $0.93\times 10^{-8}$
The band diagram of a $p$-type semiconductor with a band-gap of $1$ eV is shown. Using this semiconductor, a $\text{MOS}$ capacitor having $V_{TH}$ of $-0.16 V$, ${C}'_{o...
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Feb 13, 2020
Number Representations
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digital-circuits
semiconductor
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1
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2039
GATE ECE 2020 | Question: 33
The base of an $\text{npn BJT T1}$ has a linear doping profile $N_{B}\left ( x \right )$ as shown below. The base of another $\text{npn BJT T2}$ has a uniform doping $N_{B}$ of $10^{17}cm^{-3}$. All other parameters are identical for both the ... $\text{T1}$. approximately $2.5$ times that of $\text{T1}$. approximately $0.7$ times that of $\text{T1}$.
The base of an $\text{npn BJT T1}$ has a linear doping profile $N_{B}\left ( x \right )$ as shown below. The base of another $\text{npn BJT T2}$ has a uniform doping $N_...
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Feb 13, 2020
Analog Circuits
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analog-circuits
bipolar-junction-transistor
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2040
GATE ECE 2020 | Question: 34
A $pn$ junction solar cell of area $1.0\:cm^{2}$, illuminated uniformly with $100\:mW\:cm^{-2}$, has the following parameters: Efficiency $= 15\%$, open circuit voltage $= 0.7\:V$, fill factor $= 0.8$, and thickness $=200 \mu m$ ... $0.84\times 10^{19}.$ $5.57\times 10^{19}.$ $1.04\times 10^{19}.$ $83.60\times 10^{19}.$
A $pn$ junction solar cell of area $1.0\:cm^{2}$, illuminated uniformly with $100\:mW\:cm^{-2}$, has the following parameters: Efficiency $= 15\%$, open circuit voltage $...
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Feb 13, 2020
Electronic Devices
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electronic-devices
p-n-junction
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