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2961
GATE ECE 2017 Set 2 | Question: 30
The minimum value of the function $f(x)=\frac{1}{3} x(x^2-3)$ in the interval $-100≤x≤100$ occurs at $x =$ ________.
The minimum value of the function $f(x)=\frac{1}{3} x(x^2-3)$ in the interval $-100≤x≤100$ occurs at $x =$ ________.
admin
46.4k
points
168
views
admin
asked
Nov 23, 2017
Calculus
gate2017-ec-2
numerical-answers
calculus
maxima-minima
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0
votes
0
answers
2962
GATE ECE 2017 Set 2 | Question: 13
In the figure, $D1$ is a real silicon $pn$ junction diode with a drop of $0.7V$ under forward bias condition and $D2$ is a Zener diode breakdown voltage of $-6.8V$. The input $V_{in}(t)$ is a periodic square wave of period $T$ ... $-20.5 V$ $6.1 V$ and $-21.9 V$ $7.5 V$ and $-21.2 V$ $6.1 V$ and $-22.6 V$
In the figure, $D1$ is a real silicon $pn$ junction diode with a drop of $0.7V$ under forward bias condition and $D2$ is a Zener diode breakdown voltage of $-6.8V$. The i...
admin
46.4k
points
176
views
admin
asked
Nov 23, 2017
Electronic Devices
gate2017-ec-2
numerical-answers
electronic-devices
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0
votes
0
answers
2963
GATE ECE 2017 Set 2 | Question: 14
Consider the circuit shown in the figure. Assume base-to-emitter voltage $V_{BE}=0.8 V$ and common-base current gain ($\alpha$) of the transistor is unity. The value of the collector-to-emitter voltage $V_{CE}$ (in volt) is ____________
Consider the circuit shown in the figure. Assume base-to-emitter voltage $V_{BE}=0.8 V$ and common-base current gain ($\alpha$) of the transistor is unity. The value of t...
admin
46.4k
points
134
views
admin
asked
Nov 23, 2017
Analog Circuits
gate2017-ec-2
bipolar-junction-transistor
numerical-answers
analog-circuits
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–
0
votes
0
answers
2964
GATE ECE 2017 Set 2 | Question: 15
For the circuit shown in the figure, P and Q are the inputs and Y is the output. The logic implemented by the circuit is XNOR XOR NOR OR
For the circuit shown in the figure, P and Q are the inputs and Y is the output.The logic implemented by the circuit isXNOR XORNOROR
admin
46.4k
points
176
views
admin
asked
Nov 23, 2017
Number Representations
gate2017-ec-2
logic-gates
digital-circuits
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1
votes
0
answers
2965
GATE ECE 2017 Set 2 | Question: 16
Consider the circuit shown in the figure. The Boolean expression $F$ implemented by the circuit is $\overline{X} \overline{Y} \overline{Z} + X Y +\overline{Y} Z $ $\overline{X} Y \overline{Z} + X Z + \overline{Y} Z $ $\overline{X} Y \overline{Z} +XY + \overline{Y} Z $ $\overline{X} \overline{Y} \overline{Z} + XZ+ \overline{Y}Z $
Consider the circuit shown in the figure. The Boolean expression $F$ implemented by the circuit is$\overline{X} \overline{Y} \overline{Z} + X Y +\overline{Y} Z $$\overlin...
admin
46.4k
points
336
views
admin
asked
Nov 23, 2017
Number Representations
gate2017-ec-2
digital-circuits
combinational-circuits
multiplexers
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0
votes
0
answers
2966
GATE ECE 2017 Set 2 | Question: 17
In a DRAM, periodic refreshing is not required information is stored in a capacitor information is stored in a latch both read and write operations can be performed simultaneously
In a DRAM, periodic refreshing is not required information is stored in a capacitor information is stored in a latchboth read and write operations can be performed simult...
admin
46.4k
points
134
views
admin
asked
Nov 23, 2017
Digital Circuits
gate2017-ec-2
semiconductor
digital-circuits
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0
votes
0
answers
2967
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
views
admin
asked
Nov 23, 2017
Control Systems
gate2017-ec-2
numerical-answers
control-systems
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0
votes
0
answers
2968
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
145
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
votes
0
answers
2969
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...
admin
46.4k
points
232
views
admin
asked
Nov 23, 2017
Control Systems
gate2017-ec-2
lag-lead-compensation
control-systems
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0
votes
0
answers
2970
GATE ECE 2017 Set 2 | Question: 21
Which one of the following graphs shows the Shannon capacity (channel capacity) in bits of a memoryless binary symmetric channel with crossover probability $p$ ?
Which one of the following graphs shows the Shannon capacity (channel capacity) in bits of a memoryless binary symmetric channel with crossover probability $p$ ?
admin
46.4k
points
342
views
admin
asked
Nov 23, 2017
Communications
gate2017-ec-2
channel-capacity-theorem
communications
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–
0
votes
0
answers
2971
GATE ECE 2017 Set 2 | Question: 22
Consider the random process $X(t)=U+Vt,$ Where $U$ is a zero-mean Gaussian random variable and V is a random variable uniformly distributed between $0$ and $2$. Assume that $U$ and $V$ are statistically independent. The mean value of the random process at $t = 2$ is ________
Consider the random process $X(t)=U+Vt,$Where $U$ is a zero-mean Gaussian random variable and V is a ...
admin
46.4k
points
116
views
admin
asked
Nov 23, 2017
Probability and Statistics
gate2017-ec-2
numerical-answers
probability-and-statistics
probability
random-variable
uniform-distribution
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–
0
votes
0
answers
2972
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
2973
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
115
views
admin
asked
Nov 23, 2017
Complex Analysis
gate2017-ec-2
complex-analysis
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–
0
votes
0
answers
2974
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
163
views
admin
asked
Nov 23, 2017
Network Solution Methods
gate2017-ec-2
numerical-answers
network-solution-methods
sinusoidal
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–
0
votes
0
answers
2975
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...
admin
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
votes
0
answers
2976
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
177
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
2977
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
2978
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...
admin
46.4k
points
103
views
admin
asked
Nov 23, 2017
Electronic Devices
gate2017-ec-2
mosfet
electronic-devices
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–
0
votes
0
answers
2979
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
votes
0
answers
2980
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
100
views
admin
asked
Nov 23, 2017
Electronic Devices
gate2017-ec-2
mosfet
numerical-answers
electronic-devices
+
–
0
votes
0
answers
2981
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
287
views
admin
asked
Nov 23, 2017
Analog Circuits
gate2017-ec-2
diodes
numerical-answers
analog-circuits
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–
0
votes
0
answers
2982
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&...
admin
46.4k
points
163
views
admin
asked
Nov 23, 2017
Linear Algebra
gate2017-ec-2
linear-algebra
matrices
rank-of-matrix
numerical-answers
+
–
0
votes
0
answers
2983
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 ...
admin
46.4k
points
103
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
2984
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 $S$...
admin
46.4k
points
198
views
admin
asked
Nov 23, 2017
Analytical Aptitude
gate2017-ec-2
analytical-aptitude
family-relationships
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–
0
votes
0
answers
2985
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
1
answer
2986
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
votes
0
answers
2987
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
218
views
admin
asked
Nov 23, 2017
Quantitative Aptitude
gate2017-ec-2
numerical-ability
data-interpretation
contour-plots
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–
0
votes
0
answers
2988
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
+
–
0
votes
0
answers
2989
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
101
views
admin
asked
Nov 23, 2017
Verbal Aptitude
gate2017-ec-2
verbal-ability
most-appropriate-word
+
–
0
votes
0
answers
2990
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
151
views
admin
asked
Nov 23, 2017
Analytical Aptitude
gate2017-ec-2
analytical-aptitude
logical-reasoning
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–
0
votes
0
answers
2991
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
2992
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
+
–
0
votes
0
answers
2993
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
2994
GATE ECE 2017 Set 1 | Question: 48
Which one of the following options correctly describes the locations of the roots of the equation $s^{4}+s^{2}+1=0$ on the complex plane? Four left half plane(LHP) roots One right half plane(RHP) root,one LHP root and two roots on the imaginary axis Two RHP roots and two LHP roots All four roots are on the imaginary axis
Which one of the following options correctly describes the locations of the roots of the equation $s^{4}+s^{2}+1=0$ on the complex plane?Four left half plane(LHP) rootsOn...
admin
46.4k
points
225
views
admin
asked
Nov 17, 2017
Complex Analysis
gate2017-ec-1
complex-analysis
+
–
0
votes
0
answers
2995
GATE ECE 2017 Set 1 | Question: 51
Let $X(t)$ be a wide sense stationary random process with the power spectral density $S_{X}(f)$ as shown in Figure (a), where $f$ is in Hertz$(Hz)$. The random process $X(t)$ ... Select the correct option: only I is true only II and III are true only I and II are true only I and III are true
Let $X(t)$ be a wide sense stationary random process with the power spectral density $S_{X}(f)$ as shown in Figure (a), where $f$ is in Hertz$(Hz)$. The random process $X...
admin
46.4k
points
104
views
admin
asked
Nov 17, 2017
Communications
gate2017-ec-1
autocorrelation-and-power-spectral-density
communications
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–
0
votes
0
answers
2996
GATE ECE 2017 Set 1 | Question: 50
In binary frequency shift keying (FSK), the given signal waveforms are $u_{0}(t)=5\, \cos(20000\pi t)\, ;0\leq t\leq T \text{, and } \\ u_{1}(t)=5\, \cos(22000\pi t)\, ;0 \leq t \leq T,$ where $T$ is the bit-duration interval and $t$ is in seconds ... (in milliseconds) required to have $u_{0}(t)$ and $u_{1}(t)$ uncorrelated is $0.25$ ms $0.5$ ms $0.75$ ms $1.0$ ms
In binary frequency shift keying (FSK), the given signal waveforms are $$u_{0}(t)=5\, \cos(20000\pi t)\, ;0\leq t\leq T \text{, and } \\ u_{1}(t)=5\, \cos(22000\pi t)\, ;...
admin
46.4k
points
212
views
admin
asked
Nov 17, 2017
Communications
gate2017-ec-1
digital-communication
frequency-shift-keying
communications
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–
0
votes
0
answers
2997
GATE ECE 2017 Set 1 | Question: 53
An optical fiber is kept along the $\hat{z}$ direction. The refractive indices for the electric fields along $\hat{x}$ and $\hat{y}$ directions in the fiber are $n_{x}=1.5000$ and $n_{y}=1.5001$, ... is circularly polarized at the input of the fiber, the minimum propagation distance after which it becomes linearly polarized, in centimeters,is______________.
An optical fiber is kept along the $\hat{z}$ direction. The refractive indices for the electric fields along $\hat{x}$ and $\hat{y}$ directions in the fiber are $n_{x}=1....
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46.4k
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Electromagnetics
gate2017-ec-1
polarization
optical-fiber
numerical-answers
electromagnetics
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0
votes
0
answers
2998
GATE ECE 2017 Set 1 | Question: 52
A continuous time signal $x(t)=4 \cos(200\pi t)+8 \cos(400\pi t)$, where $t$ is in seconds, is the input to a linear time invariant (LTI) filter with the impulse response $h(t)=\begin{cases} \frac{2 \sin (300\pi t)}{\pi t},& t\neq 0 \\ 600, & t=0. \end{cases}$ Let $y(t)$ be the output of this filter. The maximum value of $ \mid y(t) \mid $ is _________.
A continuous time signal $x(t)=4 \cos(200\pi t)+8 \cos(400\pi t)$, where $t$ is in seconds, is the input to a linear time invariant (LTI) filter with the impulse response...
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46.4k
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Continuous-time Signals
gate2017-ec-1
numerical-answers
continuous-time-signals
linear-time-invariant-systems
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0
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0
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2999
GATE ECE 2017 Set 1 | Question: 49
The Nyquist plot of the transfer function $G(s)=\frac{K}{(s^{2}+2s+2)(s+2)}$ does not encircle the point $(-1+j0)$ for $K=10$ but does encircle the point $(-1+j0)$ for $K=100$. Then the closed loop system (having unity gain feedback) is stable ... $K=10$ and unstable for $K=100$ unstable for $K=10$ and stable for $K=100$ stable for $K=10$ and unstable for $K=100$
The Nyquist plot of the transfer function$$G(s)=\frac{K}{(s^{2}+2s+2)(s+2)}$$does not encircle the point $(-1+j0)$ for $K=10$ but does encircle the point $(-1+j0)$ for $K...
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153
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Nov 17, 2017
Control Systems
gate2017-ec-1
nyquist
control-systems
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0
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0
answers
3000
GATE ECE 2017 Set 1 | Question: 54
The expression for an electric field in free space is , $\textbf{E}=E_{0}( \hat{x}+\hat{y}+j2 \hat{z} )e^{-j( \omega t-kx+ky)}$ where $x,y,z$ represent the special coordinates, $t$ represents time, and ... normal to the $z$-axis represents an elliptically polarized plane wave propagating along the $x - y$ plane represents a linearly polarized plane wave
The expression for an electric field in free space is , $\textbf{E}=E_{0}( \hat{x}+\hat{y}+j2 \hat{z} )e^{-j( \omega t-kx+ky)}$ where $x,y,z$ represent the special coordi...
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Electromagnetics
gate2017-ec-1
plane-waves-and-properties
electromagnetics
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