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Recent questions tagged gate2017-ec-2
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41
GATE ECE 2017 Set 2 | Question: 18
For the system shown in the figure, $Y(s)/X(s)$ = ___________
For the system shown in the figure, $Y(s)/X(s)$ = ___________
admin
46.4k
points
151
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admin
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Nov 23, 2017
Control Systems
gate2017-ec-2
numerical-answers
control-systems
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42
GATE ECE 2017 Set 2 | Question: 19
Consider the state space realization $\begin{bmatrix} \dot{x_1}(t)\\ \dot{x_2}(t) \end{bmatrix}=\begin{bmatrix} 0 &0 \\ 0&-9 \end{bmatrix}\begin{bmatrix} x_1(t)\\ x_2(t) \end{bmatrix}+\begin{bmatrix} 0\\ 45 \end{bmatrix} u(t)$ , with ... function. The value of $\underset{t\rightarrow \infty }{\lim}\left | \sqrt{x_1^2(t)+x_2^2(t)} \right |$ is __________.
Consider the state space realization $\begin{bmatrix} \dot{x_1}(t)\\ \dot{x_2}(t) \end{bmatrix}=\begin{bmatrix} 0 &0 \\ 0&-9 \end{bmatrix}\begin{bmatrix} x_1(t...
admin
46.4k
points
143
views
admin
asked
Nov 23, 2017
Continuous-time Signals
gate2017-ec-2
discrete-time-signals
numerical-answers
continuous-time-signals
signals-and-systems
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0
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43
GATE ECE 2017 Set 2 | Question: 20
Which of the following statements is incorrect? Lead compensator is used to reduce the settling time. Lag compensator is used to reduce the steady state error. Lead compensator may increase the order of a system. Lag compensator always stabilizes an unstable system.
Which of the following statements is incorrect?Lead compensator is used to reduce the settling time.Lag compensator is used to reduce the steady state error.Lead compensa...
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46.4k
points
229
views
admin
asked
Nov 23, 2017
Control Systems
gate2017-ec-2
lag-lead-compensation
control-systems
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0
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44
GATE ECE 2017 Set 2 | Question: 4
The residues of a function $f(z)=\frac1{(z-4)(z+1)^3 }$ are $\frac{-1}{27}$ and $\frac{-1}{125} \\$ $\frac{1}{125}$ and $\frac{-1}{125} \\$ $\frac{-1}{27}$ and $\frac{1}{5} \\$ $\frac{1}{125}$and $\frac{-1}{5}$
The residues of a function $$f(z)=\frac1{(z-4)(z+1)^3 }$$are$\frac{-1}{27}$ and $\frac{-1}{125} \\$$\frac{1}{125}$ and $\frac{-1}{125} \\$$\frac{-1}{27}$ and $\frac{1}...
admin
46.4k
points
114
views
admin
asked
Nov 23, 2017
Complex Analysis
gate2017-ec-2
complex-analysis
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45
GATE ECE 2017 Set 2 | Question: 6
A connection is made consisting of resistance A in series with a parallel combination of resistances $B$ and $C$. Three resistors of value $10 Ω, 5 Ω, 2 Ω$ are provided. Consider all possible permutations of the given resistors ... possible overall resistance. The ratio of maximum to minimum values of the resistances (up to second decimal place) is ___________.
A connection is made consisting of resistance A in series with a parallel combination of resistances $B$ and $C$. Three resistors of value $10 Ω, 5 Ω, 2 Ω$ are prov...
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46.4k
points
415
views
admin
asked
Nov 23, 2017
Network Solution Methods
gate2017-ec-2
numerical-answers
network-solution-methods
to-be-tagged
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0
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0
answers
46
GATE ECE 2017 Set 2 | Question: 10
An $npn$ bipolar junction transistor (BJT) is operating in the active region. If the reverse bias across the base-collector junction is increased, then the effective base width increases and common-emitter current gain ... width decreases and common-emitter current gain increases the effective base width decreases and common-emitter current gain decreases
An $npn$ bipolar junction transistor (BJT) is operating in the active region. If the reverse bias across the base-collector junction is increased, then the effective base...
admin
46.4k
points
142
views
admin
asked
Nov 23, 2017
Analog Circuits
gate2017-ec-2
bipolar-junction-transistor
analog-circuits
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0
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0
answers
47
GATE ECE 2017 Set 2 | Question: 8
The input $x(t)$ and the output $y(t)$ of a continuous –time system are related as $y(t)=\int_{t-T}^{t}x(u) du.$ The system is linear and time-variant linear and time-invariant non-linear and time-variant non-linear and time-invariant
The input $x(t)$ and the output $y(t)$ of a continuous –time system are related as $$y(t)=\int_{t-T}^{t}x(u) du.$$ The system islinear and time-variantlinear and time...
admin
46.4k
points
147
views
admin
asked
Nov 23, 2017
Continuous-time Signals
gate2017-ec-2
linear-time-invariant-systems
continuous-time-signals
signals-and-systems
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0
votes
0
answers
48
GATE ECE 2017 Set 2 | Question: 7
An LTI system with unit sample response $h[n]=5\delta [n]-7\delta [n-1]+7\delta [n-3]-5\delta [n-4]$ is a low-pass filter high-pass filter band-pass filter band-stop filter
An LTI system with unit sample response $h[n]=5\delta [n]-7\delta [n-1]+7\delta [n-3]-5\delta [n-4]$ is a low-pass filter high-pass filter band-pass filter band-s...
admin
46.4k
points
176
views
admin
asked
Nov 23, 2017
Continuous-time Signals
gate2017-ec-2
linear-time-invariant-systems
continuous-time-signals
signals-and-systems
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0
votes
0
answers
49
GATE ECE 2017 Set 2 | Question: 5
In the circuit shown, V is a sinusoidal voltage source. The current $I$ is in phase with voltage V. The ratio$\frac{\text{amplitude of voltage across the capacitor}}{\text{amplitude of voltage across the resistor}}$ is ___________.
In the circuit shown, V is a sinusoidal voltage source. The current $I$ is in phase with voltage V. The ratio$\frac{\text{amplitude of voltage across the capacitor}}{\tex...
admin
46.4k
points
162
views
admin
asked
Nov 23, 2017
Network Solution Methods
gate2017-ec-2
numerical-answers
network-solution-methods
sinusoidal
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0
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0
answers
50
GATE ECE 2017 Set 2 | Question: 12
The output $V_0$ of the diode circuit shown in the figure is connected to an averaging DC voltmeter. The reading on the DC voltmeter in Volts, neglecting the voltage drop across the diode, is _________________.
The output $V_0$ of the diode circuit shown in the figure is connected to an averaging DC voltmeter. The reading on the DC voltmeter in Volts, neglecting the voltage drop...
admin
46.4k
points
284
views
admin
asked
Nov 23, 2017
Analog Circuits
gate2017-ec-2
diodes
numerical-answers
analog-circuits
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0
votes
0
answers
51
GATE ECE 2017 Set 2 | Question: 3
The smaller angle (in degrees) between the planes $x+y+z=1$ and $2x-y+2z=0$ is ________.
The smaller angle (in degrees) between the planes $x+y+z=1$ and $2x-y+2z=0$ is ________.
admin
46.4k
points
167
views
admin
asked
Nov 23, 2017
Vector Analysis
gate2017-ec-2
vector-in-planes
numerical-answers
vector-analysis
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0
votes
0
answers
52
GATE ECE 2017 Set 2 | Question: 9
An n-channel enhancement mode MOSFET is biased at $V_{GS}$ >$V_{TH}$ and $V_{DS}$ > $(V_{GS}-V_{TH})$, where $V_{GS}$ is the gate-to-source voltage, $V_{DS}$ is the drain-to- ... voltage source with zero output impedance voltage source with non-zero output impedance current source with finite output impedance current source with infinite output impedance
An n-channel enhancement mode MOSFET is biased at $V_{GS}$ >$V_{TH}$ and $V_{DS}$ $(V_{GS}-V_{TH})$, where $V_{GS}$ is the gate-to-source voltage, $V_{DS}$ is the drai...
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46.4k
points
100
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Nov 23, 2017
Electronic Devices
gate2017-ec-2
mosfet
electronic-devices
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0
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53
GATE ECE 2017 Set 2 | Question: 11
Consider an $n$-channel MOSFET having width $W$, length $L$, electron mobility in the channel $\mu _{n}$ and oxide capacitance per unit area $C_{ox}$. If gate-to-source $V_{GS}=0.7$ V, drain-to-source voltage $V_{DS}=0.1 V$, $\mu _{n}C_{ox}=100 \mu A/V^{2}$, threshold voltage $V_{TH}=0.3V$ and $(W/L)=50$, then the transconductance $g_{m}$ (in mA/V) is __________.
Consider an $n$-channel MOSFET having width $W$, length $L$, electron mobility in the channel $\mu _{n}$ and oxide capacitance per unit area $C_{ox}$. If gate-to-source $...
admin
46.4k
points
99
views
admin
asked
Nov 23, 2017
Electronic Devices
gate2017-ec-2
mosfet
numerical-answers
electronic-devices
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0
answers
54
GATE ECE 2017 Set 2 | Question: 1
The rank of the matrix $\begin{bmatrix} 1 & -1& 0& 0& 0& \\ 0& 0& 1& -1& 0& \\ 0& 1& -1& 0& 0& \\ -1& 0& 0& 0& 1& \\ 0& 0& 0& 1& -1& \end{bmatrix}$ is ________.
The rank of the matrix $\begin{bmatrix} 1 & -1& 0& 0& 0& \\ 0& 0& 1& -1& 0& \\ 0& 1& -1& 0& 0& \\ -1& 0& 0& 0& 1& \\ 0& 0&...
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46.4k
points
162
views
admin
asked
Nov 23, 2017
Linear Algebra
gate2017-ec-2
linear-algebra
matrices
rank-of-matrix
numerical-answers
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0
answers
55
GATE ECE 2017 Set 2 | Question: 2
The general solution of the differential equation $\frac{d^2y}{dx^2}+2\frac{dy}{dx}-5y=0$ in terms of arbitrary constants $K_1$ and $K_2$ is $K_1e^{(-1+\sqrt{6})x}+K_2e^{(-1-\sqrt{6})x}$ $K_1e^{(-1+\sqrt{8})x}+K_2e^{(-1-\sqrt{8})x}$ $K_1e^{(-2+\sqrt{6})x}+K_2e^{(-2-\sqrt{6})x}$ $K_1e^{(-2+\sqrt{8})x}+K_2e^{(-2-\sqrt{8})x}$
The general solution of the differential equation $\frac{d^2y}{dx^2}+2\frac{dy}{dx}-5y=0$in terms of arbitrary constants ...
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46.4k
points
102
views
admin
asked
Nov 23, 2017
Differential Equations
gate2017-ec-2
differential-equations
second-order-differential-equation
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1
votes
1
answer
56
GATE ECE 2017 Set 2 | GA Question: 7
Each of $P, Q, R, S, W, X, Y$and $Z$ has been married at most once . $X$ and $Y$ are married and have two children $P$ and $Q$. $Z$ is the grandfather of the daughter $S$ of $P$. Further , $Z$ and $W$ are married and are parents of $R$. Which one ... -in-law of $R$ $P$ and $R$ are not married to each other $P$ is a son of $X$ and $Y$ $Q$ cannot be married to $R$
Each of $P, Q, R, S, W, X, Y$and $Z$ has been married at most once . $X$ and $Y$ are married and have two children $P$ and $Q$. $Z$ is the grandfather of the daughter $S$...
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46.4k
points
197
views
admin
asked
Nov 23, 2017
Analytical Aptitude
gate2017-ec-2
analytical-aptitude
family-relationships
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0
votes
1
answer
57
GATE ECE 2017 Set 2 | GA Question: 9
The number of $3$-digit numbers such that the digit $1$ is never to the immediate right of $2$ is $781$ $791$ $881$ $891$
The number of $3$-digit numbers such that the digit $1$ is never to the immediate right of $2$ is$781$$791$$881$$891$
admin
46.4k
points
268
views
admin
asked
Nov 23, 2017
Quantitative Aptitude
gate2017-ec-2
numerical-ability
counting
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0
answers
58
GATE ECE 2017 Set 2 | GA Question: 8
$1200$ men and $500$ women can build a bridge in $2$ weeks. $900$ men and $250$ women will take $3$ weeks to build the same bridge. How many men will be needed to build the bridge in one week? $3000$ $3300$ $3600$ $3900$
$1200$ men and $500$ women can build a bridge in $2$ weeks. $900$ men and $250$ women will take $3$ weeks to build the same bridge. How many men will be needed to build t...
admin
46.4k
points
105
views
admin
asked
Nov 23, 2017
Quantitative Aptitude
gate2017-ec-2
numerical-ability
work-time
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–
0
votes
0
answers
59
GATE ECE 2017 Set 2 | GA Question: 10
A contour line joins locations having the same height above the mean sea level. The following is a contour plot of a geographical region. Contour lines are shown at $25$ m intervals in this plot. Which of the following is the steepest path leaving from $P$? $\text{P to Q}$ $\text{P to R}$ $\text{P to S}$ $\text{P to T}$
A contour line joins locations having the same height above the mean sea level. The following is a contour plot of a geographical region. Contour lines are shown at $25$ ...
admin
46.4k
points
217
views
admin
asked
Nov 23, 2017
Quantitative Aptitude
gate2017-ec-2
numerical-ability
data-interpretation
contour-plots
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0
answers
60
GATE ECE 2017 Set 2 | GA Question: 6
If you are looking for a history of India, or for an account of the rise and fall of the British Raj, or for all reason of the cleaving of the subcontinent into two mutually antagonistic parts and the ... impartial perspective. An intimate association offers an impartial perspective. Actors are typically associated with the impartial recording of matters.
“If you are looking for a history of India, or for an account of the rise and fall of the British Raj, or for all reason of the cleaving of the subcontinent into two mu...
admin
46.4k
points
143
views
admin
asked
Nov 23, 2017
Verbal Aptitude
gate2017-ec-2
verbal-ability
verbal-reasoning
passage-reading
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–
0
votes
0
answers
61
GATE ECE 2017 Set 2 | GA Question: 5
$500$ students are taking one or more course out of Chemistry, Physics, and Mathematics. Registration records indicate course enrollment as follows: Chemistry $(329)$, Physics $(186)$, and Mathematics $(295)$. Chemistry and Physics $(83)$, Chemistry and ... Physics and Mathematics $(63)$. How many students are taking all $3$ subjects? $37$ $43$ $47$ $53$
$500$ students are taking one or more course out of Chemistry, Physics, and Mathematics. Registration records indicate course enrollment as follows: Chemistry $(329)$, Ph...
admin
46.4k
points
150
views
admin
asked
Nov 23, 2017
Quantitative Aptitude
gate2017-ec-2
numerical-ability
venn-diagrams
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–
0
votes
0
answers
62
GATE ECE 2017 Set 2 | GA Question: 4
Fatima starts from point $P$, goes North for $3$ km, and then East for $4$ km to reach point $Q$. She then turns to face point $P$ and goes $15$ km in that direction. She then goes North for $6$ km. How far is she from point $P$, and in which direction ... to reach point $P$? $\text{8 km, East}$ $\text{12 km, North}$ $\text{6k m, East}$ $\text{10 km, North}$
Fatima starts from point $P$, goes North for $3$ km, and then East for $4$ km to reach point $Q$. She then turns to face point $P$ and goes $15$ km in that direction. She...
admin
46.4k
points
124
views
admin
asked
Nov 23, 2017
Analytical Aptitude
gate2017-ec-2
analytical-aptitude
direction-sense
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–
0
votes
0
answers
63
GATE ECE 2017 Set 2 | GA Question: 3
A rule states that in order to drink beer, one must be over $18$ years old. In a bar, there are $4$ people. $P$ is $16$ years old. $Q$ is $25$ years old. $R$ is drinking milkshake and $S$ is drinking a beer. What must be checked to ensure that the rule is ... $\text{S's}$ age Only $\text{P's}$ drink, $\text{Q's}$ drink and $\text{S's}$ age
A rule states that in order to drink beer, one must be over $18$ years old. In a bar, there are $4$ people. $P$ is $16$ years old. $Q$ is $25$ years old. $R$ is drinking ...
admin
46.4k
points
150
views
admin
asked
Nov 23, 2017
Analytical Aptitude
gate2017-ec-2
analytical-aptitude
logical-reasoning
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0
votes
0
answers
64
GATE ECE 2017 Set 2 | GA Question: 2
It is ___________ to read this year’s textbook ________ the last year’s. easier, than most easy, than easier, from easiest, from
It is ___________ to read this year’s textbook ________ the last year’s.easier, thanmost easy, thaneasier, fromeasiest, from
admin
46.4k
points
100
views
admin
asked
Nov 23, 2017
Verbal Aptitude
gate2017-ec-2
verbal-ability
most-appropriate-word
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–
0
votes
0
answers
65
GATE ECE 2017 Set 2 | GA Question: 1
The ninth and the tenth of this month are Monday and Tuesday________. figuratively retrospectively respectively rightfully
The ninth and the tenth of this month are Monday and Tuesday________.figurativelyretrospectivelyrespectivelyrightfully
admin
46.4k
points
128
views
admin
asked
Nov 23, 2017
Verbal Aptitude
gate2017-ec-2
verbal-ability
most-appropriate-word
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