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1521
GATE ECE 2017 Set 2 | Question: 33
Consider an LTI system with magnitude response $\mid H(f) \mid=\begin{cases} 1-\frac{\mid f \mid}{20}, & \mid f \mid \leq 20 \\ 0,& \mid f \mid > 20 \end{cases}$ and phase response $\arg \{ H(f) \}= - 2f.$ If the input to the ... $y(t)$ is ____________
asked
in
Control Systems
Nov 25, 2017
85
views
gate2017-ec-2
linear-time-invariant-systems
numerical-answers
control-systems
0
votes
0
answers
1522
GATE ECE 2017 Set 2 | Question: 34
The transfer function of a causal LTI system is $H(s)=1/s$. If the input to the system is $x(t)=[\sin(t)/\pi t] u(t)$, where $u(t)$ is a unit step function, the system output $y(t)$ as $t\to \infty$ is ____________
asked
in
Control Systems
Nov 25, 2017
82
views
gate2017-ec-2
transfer-function
linear-time-invariant-systems
numerical-answers
control-systems
0
votes
0
answers
1523
GATE ECE 2017 Set 2 | Question: 35
Consider the parallel combination of two LTI systems shown in the figure. The impulse responses of the systems are $ \begin{array} {} h_1(t)=2\delta (t+2)-3\delta (t+1) \\ h_2(t)=\delta (t-2). \end{array}$ If the input $x(t)$ is a unit step signal, then the energy of $y(t)$ is ____________
asked
in
Continuous-time Signals
Nov 25, 2017
90
views
gate2017-ec-2
impulse-response
numerical-answers
continuous-time-signals
signals-and-systems
0
votes
0
answers
1524
GATE ECE 2017 Set 2 | Question: 36
A MOS capacitor is fabricated on $p$-type Si (Silicon) where the metal work function is $4.1$ eV and electron affinity of Si is $4.0$ eV. $E_C-E_F=0.9$ eV, where $E_C$ and $E_F$ are the conduction band minimum and the Fermi energy ... capacitor is $-1$ V, then the magnitude of the fixed charge at the oxide-semiconductor interface, in $nC/cm^2$, is ___________.
asked
in
Electronic Devices
Nov 25, 2017
211
views
gate2017-ec-2
mos-capacitor
numerical-answers
electronic-devices
0
votes
0
answers
1525
GATE ECE 2017 Set 2 | Question: 37
For a particular intensity of incident light on a silicon $pn$ junction solar cell, the photocurrent density $(J_L)$ is $2.5 mA/cm^2$ and the open-circuit voltage ($V_{oc}$) is $0.451$ V. Consider thermal voltage ($V_T$) to ... the incident light is increased by $20$ times, assuming that the temperature remains unchanged, $V_{oc}$ (in volts) will be ____________
asked
in
Analog Circuits
Nov 25, 2017
53
views
gate2017-ec-2
p-n-junction
numerical-answers
analog-circuits
0
votes
0
answers
1526
GATE ECE 2017 Set 2 | Question: 38
Two n-channel MOSFETs, T1 and T2, are identical in all respects except that the width of T2 is double that of T1. Both the transistors are biased in the saturation region of operation, but the gate overdrive voltage ($V_{GS}-V_{TH}$ ... $2g_{m1}$ $8I_{D1}$ and $4g_{m1}$ $4I_{D1}$ and $4g_{m1}$ $4I_{D1}$ and $2g_{m1}$
asked
in
Analog Circuits
Nov 25, 2017
203
views
gate2017-ec-2
mosfet
biasing
analog-circuits
0
votes
0
answers
1527
GATE ECE 2017 Set 2 | Question: 39
An abrupt $pn$ junction (located at $x=0$) is uniformly doped on both $p$ and $n$ sides. The width of the depletion region is $W$ and the electric field variation in the $x$-direction is $E(x)$. Which of the following figures represents the electric field profile near the $pn$ junction?
asked
in
Electronic Devices
Nov 25, 2017
111
views
gate2017-ec-2
p-n-junction
electronic-devices
0
votes
0
answers
1528
GATE ECE 2017 Set 2 | Question: 23
A sinusoidal message signal is converted to a PCM signal using a uniform quantizer. The required signal-to-quantization noise ratio (SQNR) at the output of the quantizer is $40$ dB. The minimum number of bits per sample needed to achieve the desired SQNR is __________
asked
in
Communications
Nov 23, 2017
385
views
gate2017-ec-2
digital-communications
numerical-answers
pulse-code-modulation
0
votes
0
answers
1529
GATE ECE 2017 Set 2 | Question: 24
Two conducting spheres $S1$ and $S2$ of radii $a$ and $b$ ($b>a$) respectively, are placed far apart and connected by a long, thin conducting wire, as shown in the figure. For some charge placed on this structure, the potential and surface electric ... $E_a<E_b$ $V_a>V_b$ and $E_a>E_b$ $V_a=V_b$ and $E_a>E_b$ $V_a>V_b$ and $E_a=E_b$
asked
in
Electromagnetics
Nov 23, 2017
163
views
gate2017-ec-2
electromagnetics
0
votes
0
answers
1530
GATE ECE 2017 Set 2 | Question: 25
A two-wire transmission line terminates in a television set. The VSWR measured on the line is $5.8$. The percentage of power that is reflected from the television set is _________
asked
in
Electromagnetics
Nov 23, 2017
73
views
gate2017-ec-2
transmision-line
numerical-answers
electromagnetics
0
votes
0
answers
1531
GATE ECE 2017 Set 2 | Question: 26
The values of the integrals $\int_{0}^{1}\left ( \int_{0}^{1}\frac{x-y}{(x+y)^3}dy \right )dx$ and $\int_{0}^{1}\left ( \int_{0}^{1}\frac{x-y}{(x+y)^3}dx \right )dy$ are same and equal to $0.5$ same and equal to $-0.5$ $0.5$ and $-0.5$, respectively $-0.5$ and $0.5$, respectively
asked
in
Calculus
Nov 23, 2017
50
views
gate2017-ec-2
calculus
definite-integrals
0
votes
0
answers
1532
GATE ECE 2017 Set 2 | Question: 27
An integral $I$ over a counterclockwise circle $\textbf{C}$ is given by $I=\oint _c \frac{z^2-1}{z^2+1} e^z dz.$ If $\textbf{C}$ is defined as$\mid z \mid=3$ , then the value of $I$ is $-\pi i \sin(1)$ $- 2\pi i \sin(1)$ $-3\pi i \sin(1)$ $-4\pi i \sin(1)$
asked
in
Electromagnetics
Nov 23, 2017
59
views
gate2017-ec-2
electrostatics
electromagnetics
0
votes
0
answers
1533
GATE ECE 2017 Set 2 | Question: 28
If the vector function $\overrightarrow{F}=\widehat{a_x}(3y-k_1z)+\widehat{a_y}(k_2x-2z)-\widehat{a_z}(k_3y+z)$ is irrotational, then the values of the constants $k_1$,$k_2$ and $k_3$, respectively, are $0.3, -2.5, 0.5$ $0.0, 3.0, 2.0$ $0.3, 0.33, 0.5$ $4.0, 3.0, 2.0$
asked
in
Vector Analysis
Nov 23, 2017
84
views
gate2017-ec-2
vector-analysis
1
vote
0
answers
1534
GATE ECE 2017 Set 2 | Question: 29
Passengers try repeatedly to get a seat reservation in any train running between two stations until they are successful. If there is $40 \%$ chance of getting reservation in any attempt by a passenger, then the average number of attempts that passengers need to make to get a seat reserved is __________
asked
in
Probability and Statistics
Nov 23, 2017
206
views
gate2017-ec-2
numerical-answers
probability-and-statistics
probability
0
votes
0
answers
1535
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 $x =$ ________.
asked
in
Calculus
Nov 23, 2017
83
views
gate2017-ec-2
numerical-answers
calculus
maxima-minima
0
votes
0
answers
1536
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 $-22.6 V$
asked
in
Electronic Devices
Nov 23, 2017
116
views
gate2017-ec-2
numerical-answers
electronic-devices
0
votes
0
answers
1537
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 ____________
asked
in
Analog Circuits
Nov 23, 2017
65
views
gate2017-ec-2
bipolar-junction-transistor
numerical-answers
analog-circuits
0
votes
0
answers
1538
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
asked
in
Number Representations
Nov 23, 2017
105
views
gate2017-ec-2
logic-gates
digital-circuits
0
votes
0
answers
1539
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 $
asked
in
Number Representations
Nov 23, 2017
166
views
gate2017-ec-2
digital-circuits
combinational-circuits
multiplexers
0
votes
0
answers
1540
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
asked
in
Digital Circuits
Nov 23, 2017
67
views
gate2017-ec-2
semiconductor
digital-circuits
0
votes
0
answers
1541
GATE ECE 2017 Set 2 | Question: 18
For the system shown in the figure, $Y(s)/X(s)$ = ___________
asked
in
Control Systems
Nov 23, 2017
88
views
gate2017-ec-2
numerical-answers
control-systems
0
votes
0
answers
1542
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 __________.
asked
in
Continuous-time Signals
Nov 23, 2017
67
views
gate2017-ec-2
discrete-time-signals
numerical-answers
continuous-time-signals
signals-and-systems
0
votes
0
answers
1543
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.
asked
in
Control Systems
Nov 23, 2017
132
views
gate2017-ec-2
lag-lead-compensation
control-systems
0
votes
0
answers
1544
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 $p$ ?
asked
in
Communications
Nov 23, 2017
262
views
gate2017-ec-2
channel-capacity-theorem
communications
0
votes
0
answers
1545
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 ________
asked
in
Probability and Statistics
Nov 23, 2017
74
views
gate2017-ec-2
numerical-answers
probability-and-statistics
probability
random-variable
uniform-distribution
0
votes
0
answers
1546
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 ________.
asked
in
Vector Analysis
Nov 23, 2017
119
views
gate2017-ec-2
vector-in-planes
numerical-answers
vector-analysis
0
votes
0
answers
1547
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 $\frac{-1}{5}$
asked
in
Complex Analysis
Nov 23, 2017
59
views
gate2017-ec-2
complex-analysis
0
votes
0
answers
1548
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 ___________.
asked
in
Network Solution Methods
Nov 23, 2017
69
views
gate2017-ec-2
numerical-answers
network-solution-methods
sinusoidal
0
votes
0
answers
1549
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 ___________.
asked
in
Network Solution Methods
Nov 23, 2017
354
views
gate2017-ec-2
numerical-answers
network-solution-methods
to-be-tagged
0
votes
0
answers
1550
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
asked
in
Continuous-time Signals
Nov 23, 2017
105
views
gate2017-ec-2
linear-time-invariant-systems
continuous-time-signals
signals-and-systems
0
votes
0
answers
1551
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
asked
in
Continuous-time Signals
Nov 23, 2017
89
views
gate2017-ec-2
linear-time-invariant-systems
continuous-time-signals
signals-and-systems
0
votes
0
answers
1552
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
asked
in
Electronic Devices
Nov 23, 2017
50
views
gate2017-ec-2
mosfet
electronic-devices
0
votes
0
answers
1553
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
asked
in
Analog Circuits
Nov 23, 2017
71
views
gate2017-ec-2
bipolar-junction-transistor
analog-circuits
0
votes
0
answers
1554
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 __________.
asked
in
Electronic Devices
Nov 23, 2017
55
views
gate2017-ec-2
mosfet
numerical-answers
electronic-devices
0
votes
0
answers
1555
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 _________________.
asked
in
Analog Circuits
Nov 23, 2017
124
views
gate2017-ec-2
diodes
numerical-answers
analog-circuits
0
votes
0
answers
1556
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 ________.
asked
in
Linear Algebra
Nov 23, 2017
100
views
gate2017-ec-2
linear-algebra
matrices
rank-of-matrix
numerical-answers
0
votes
0
answers
1557
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 $K_1e^{(-1+\sqrt{6})x}+K_2e^{(-1-\sqrt{6})x}$ $K_1e^{(-1+\sqrt{8})x}+K_2e^{(-1-\sqrt{8})x}$ $K_1e^{(-2+\sqrt{6})x}+K_2e^{(-2-\sqrt{6})x}$ $K_1e^{(-2+\sqrt{8})x}+K_2e^{(-2-\sqrt{8})x}$
asked
in
Differential Equations
Nov 23, 2017
54
views
gate2017-ec-2
differential-equations
second-order-differential-equation
1
vote
1
answer
1558
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 $R$
asked
in
Analytical Aptitude
Nov 23, 2017
119
views
gate2017-ec-2
analytical-aptitude
family-relationships
0
votes
0
answers
1559
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? $3000$ $3300$ $3600$ $3900$
asked
in
Quantitative Aptitude
Nov 23, 2017
65
views
gate2017-ec-2
numerical-ability
work-time
0
votes
1
answer
1560
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 $781$ $791$ $881$ $891$
asked
in
Quantitative Aptitude
Nov 23, 2017
199
views
gate2017-ec-2
numerical-ability
counting
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