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1
GATE ECE 2017 Set 2  Question: 51
A modulating signal given by $x(t)=5\sin (4\pi 10^3t 10\pi \cos 2\pi 10^3t)V$ is fed to a phase modulator with phase deviation constant $k_p=5$ rad/V. If the carrier frequency is $20$ kHz, the instantaneous frequency(in kHz) at $t=0.5$ ms is ____________
asked
Nov 25, 2017
in
Communications

43
views
gate2017ec2
numericalanswers
communications
0
answers
2
GATE ECE 2017 Set 2  Question: 52
Consider a binary memoryless channel characterized by the transition probability diagram shown in the figure. The channel is lossless noiseless useless deterministic
asked
Nov 25, 2017
in
Communications

118
views
gate2017ec2
channelcapacitytheorem
communications
0
answers
3
GATE ECE 2017 Set 2  Question: 53
An electron $(q_1)$ is moving in free space with velocity $10^5$ m/s towards a stationary electron $(q_2)$ far away. The closest distance that this moving electron gets to the stationary electron before the repulsive force diverts its path is ____________$\times 10^{8}$ ... $e=1.6\times 10^{19}$ C, and permittivity $\varepsilon _0=(1/36\pi)\times 10^{9}$ F/m]
asked
Nov 25, 2017
in
Electronic Devices

87
views
gate2017ec2
numericalanswers
electronicdevices
0
answers
4
GATE ECE 2017 Set 2  Question: 54
Standard airfilled rectangular waveguides of dimensions $a=2.29$ cm and $b=1.02 $ cm are designed for radar applications. It is desired that these waveguides operate only in the dominant $TE_{10}$ mode with the operating frequency at least $25 \%$ ... $6.55 \: GHz \leq f \leq 13.1 \: GHz$ $1.64 \: GHz \leq f \leq 10.24 \: GHz$
asked
Nov 25, 2017
in
Electromagnetics

128
views
gate2017ec2
waveguides
electromagnetics
0
answers
5
GATE ECE 2017 Set 2  Question: 55
The permittivity of water at optical frequencies is $1.75 \varepsilon _0$. It is found that an isotropic light source at a distance $d$ under water forms an illuminated circular area of radius $5$ m, as shown in the figure. The critical angle is $\theta _c$. The value of $d$ (in meter) is _______________
asked
Nov 25, 2017
in
Electromagnetics

87
views
gate2017ec2
numericalanswers
electromagnetics
0
answers
6
GATE ECE 2017 Set 2  Question: 50
The unmodulated carrier power in an AM transmitter is $5$ kW. This carrier is modulated by a sinusoidal modulating signal. The maximum percentage of modulation is $50 \%$. If it is reduced to $40 \%$, then the maximum unmodulated carrier power (in kW) that can be used without overloading the transmitter is _________
asked
Nov 25, 2017
in
Communications

99
views
gate2017ec2
amplitudemodulation
numericalanswers
communications
0
answers
7
GATE ECE 2017 Set 2  Question: 49
The signal $x(t)=\sin (14000\pi t)$, where $t$ is in seconds, is sampled at a rate of $9000$ samples per second. The sampled signal is the input to an ideal lowpass filter with frequency response $H(f)$ ... $= 3$, frequencies $= 2,7,11$ Number $= 2$, frequencies $= 2,7$ Number $= 2$, frequencies $= 7,11$
asked
Nov 25, 2017
in
Continuoustime Signals

161
views
gate2017ec2
continuoustimesignals
0
answers
8
GATE ECE 2017 Set 2  Question: 48
A unity feedback control system is characterized by the openloop transfer function $G(s)=\frac{10K(s+2)}{s^3+3s^2+10}$ The Nyquist path and the corresponding Nyquist plot of $G(s)$ are shown in the figures below. If $0 < K < 1$, then the number of poles of the closedloop transfer function that lie in the righthalf of the $s$plane is $0$ $1$ $2$ $3$
asked
Nov 25, 2017
in
Control Systems

102
views
gate2017ec2
controlsystems
nyquist
0
answers
9
GATE ECE 2017 Set 2  Question: 47
A secondorder LTI system is described by the following state equations, $ \begin{array}{ll} \frac{d}{dt}x_1(t)x_2(t)=0 \\ \frac{d}{dt}x_2(t)+2x_1(t)+3x_2(t)=r(t) \end{array}$ where $x_1(t)$ and $x_2(t)$ are the two state variables and $r(t)$ denotes the input. The output $c(t)=x_1(t)$. The system is undamped (oscillatory) underdamped critically damped overdamped
asked
Nov 25, 2017
in
Control Systems

128
views
gate2017ec2
lineartimeinvariantsystems
controlsystems
0
answers
10
GATE ECE 2017 Set 2  Question: 46
A unity feedback control system is characterized by the openloop transfer function $G(s)=\frac{2(s+1)}{s^3+ks^2+2s+1}$ The value of $k$ for which the system oscillates at $2$ rad/s is ___________
asked
Nov 25, 2017
in
Control Systems

121
views
gate2017ec2
numericalanswers
controlsystems
feedbackprinciple
0
answers
11
GATE ECE 2017 Set 2  Question: 45
A programmable logic array (PLA) is shown in the figure. The Boolean function $F$ implemented is $\overline{P} \: \overline{Q}R+ \overline{P}QR+P \overline{Q} \: \overline{R}$ $(\overline{P}+\overline{Q}+R)(\overline{P}+Q+R)(P+\overline{Q}+\overline{R})$ ... $(\overline{P}+\overline{Q}+R)(\overline{P}+Q+R)(P+\overline{Q}+R)$
asked
Nov 25, 2017
in
Digital Circuits

103
views
gate2017ec2
digitalcircuits
combinationalcircuits
logicgates
2
answers
12
GATE ECE 2017 Set 2  Question: 44
Figure Ⅰ shows a $4$bit ripple carry adder realized using full adders and Figure Ⅱ shows the circuit of a fulladder (FA). The propagation delay of the XOR, AND and OR gates in Figure Ⅱ are $20$ ns, $15$ ns and $10$ ns, respectively. Assume ... $Y_3Y_2Y_1Y_0=0100$ and $Z_0=1$. The output of the ripple carry adder will be stable at $t$ (in ns) = ___________
asked
Nov 25, 2017
in
Digital Circuits

1.4k
views
gate2017ec2
numericalanswers
digitalcircuits
combinationalcircuits
adder
0
answers
13
GATE ECE 2017 Set 2  Question: 43
The state diagram of a finite state machine (FSM) designed to detect an overlapping sequence of three bits is shown in the figure. The FSM has an input 'In' and an output 'Out'. The initial state of the FSM is $S_0$. If the input sequence is $10101101001101$, starting with the leftmost bit, then the number of times 'Out' will be $1$ is ____________
asked
Nov 25, 2017
in
Digital Circuits

173
views
gate2017ec2
fsm
numericalanswers
digitalcircuits
0
answers
14
GATE ECE 2017 Set 2  Question: 42
In the voltage reference circuit shown in the figure, the opamp is ideal and the transistors $Q_1, Q_2, \dots ,Q_{32}$ are identical in all respects and have infinitely large values of commonemitter current gain $(\beta)$. The collector current $(Ic)$ ... is $0.7$ V and the thermal voltage $V_T = 26$ mV. The output voltage $V_{out}$ (in volts) is ______________
asked
Nov 25, 2017
in
Analog Circuits

40
views
gate2017ec2
opamps
numericalanswers
analogcircuits
0
answers
15
GATE ECE 2017 Set 2  Question: 41
In the circuit shown, transistors $Q_1$ and $Q_2$ are biased at a collector current of $2.6$ mA. Assuming that transistor current gains are sufficiently large to assume collector current equal to emitter current and thermal voltage of $26$ mV, the magnitude of voltage gain $V_0/V_s$ in the midband frequency range is __________(up to second decimal place).
asked
Nov 25, 2017
in
Analog Circuits

52
views
gate2017ec2
bipolarjunctiontransistor
numericalanswers
analogcircuits
0
answers
16
GATE ECE 2017 Set 2  Question: 40
Assuming that transistors $M_1$ and $M_2$ are identical and have a threshold voltage of $1$ V, the state of transistors $M_1$ and $M_2$ are respectively Saturation, Saturation Linear, Linear Linear, Saturation Saturation, Linear
asked
Nov 25, 2017
in
Analog Circuits

24
views
gate2017ec2
transistor
analogcircuits
0
answers
17
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
Nov 25, 2017
in
Electronic Devices

56
views
gate2017ec2
pnjunction
electronicdevices
0
answers
18
GATE ECE 2017 Set 2  Question: 38
Two nchannel 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
Nov 25, 2017
in
Analog Circuits

177
views
gate2017ec2
mosfet
biasing
analogcircuits
0
answers
19
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 opencircuit 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
Nov 25, 2017
in
Analog Circuits

26
views
gate2017ec2
pnjunction
numericalanswers
analogcircuits
0
answers
20
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. $E_CE_F=0.9$ 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 oxidesemiconductor interface, in $nC/cm^2$, is ___________.
asked
Nov 25, 2017
in
Electronic Devices

136
views
gate2017ec2
moscapacitor
numericalanswers
electronicdevices
0
answers
21
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 (t2). \end{array}$ If the input $x(t)$ is a unit step signal, then the energy of $y(t)$ is ____________
asked
Nov 25, 2017
in
Continuoustime Signals

40
views
gate2017ec2
impulseresponse
numericalanswers
continuoustimesignals
signalsandsystems
0
answers
22
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
Nov 25, 2017
in
Control Systems

43
views
gate2017ec2
transferfunction
lineartimeinvariantsystems
numericalanswers
controlsystems
0
answers
23
GATE ECE 2017 Set 2  Question: 32
Consider the circuit shown in the figure. The Thevenin equivalent resistance (in Ω) across PQ is _____________
asked
Nov 25, 2017
in
Network Solution Methods

79
views
gate2017ec2
thevenintheorem
numericalanswers
networksolutionmethods
0
answers
24
GATE ECE 2017 Set 2  Question: 31
The switch in the circuit, shown in the figure, was open for a long time and is closed at $t=0$. The current $i(t)$ (in ampere) at $t=0.5$ seconds is ____________
asked
Nov 25, 2017
in
Electronic Devices

96
views
gate2017ec2
electronicdevices
carriertransport
0
answers
25
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
Nov 25, 2017
in
Control Systems

46
views
gate2017ec2
lineartimeinvariantsystems
numericalanswers
controlsystems
0
answers
26
GATE ECE 2017 Set 2  Question: 27
An integral $I$ over a counterclockwise circle $\textbf{C}$ is given by $I=\oint _c \frac{z^21}{z^2+1} e^z dz.$ 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
Nov 23, 2017
in
Electromagnetics

30
views
gate2017ec2
electrostatics
electromagnetics
0
answers
27
GATE ECE 2017 Set 2  Question: 30
The minimum value of the function $f(x)=\frac{1}{3} x(x^23)$ in the interval $100≤x≤100$ occurs at $x =$ ________.
asked
Nov 23, 2017
in
Calculus

27
views
gate2017ec2
numericalanswers
calculus
maximaminima
0
answers
28
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
Nov 23, 2017
in
Probability and Statistics

159
views
gate2017ec2
numericalanswers
probabilityandstatistics
probability
0
answers
29
GATE ECE 2017 Set 2  Question: 28
If the vector function $\overrightarrow{F}=\widehat{a_x}(3yk_1z)+\widehat{a_y}(k_2x2z)\widehat{a_z}(k_3y+z)$ 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
Nov 23, 2017
in
Vector Analysis

48
views
gate2017ec2
vectoranalysis
0
answers
30
GATE ECE 2017 Set 2  Question: 26
The values of the integrals $\int_{0}^{1}\left ( \int_{0}^{1}\frac{xy}{(x+y)^3}dy \right )dx$ and $\int_{0}^{1}\left ( \int_{0}^{1}\frac{xy}{(x+y)^3}dx \right )dy$ 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
Nov 23, 2017
in
Calculus

25
views
gate2017ec2
calculus
definiteintegrals
0
answers
31
GATE ECE 2017 Set 2  Question: 25
A twowire 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
Nov 23, 2017
in
Electromagnetics

46
views
gate2017ec2
transmisionline
numericalanswers
electromagnetics
0
answers
32
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
Nov 23, 2017
in
Electromagnetics

133
views
gate2017ec2
electromagnetics
0
answers
33
GATE ECE 2017 Set 2  Question: 23
A sinusoidal message signal is converted to a PCM signal using a uniform quantizer. The required signaltoquantization 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
Nov 23, 2017
in
Communications

313
views
gate2017ec2
digitalcommunications
numericalanswers
pulsecodemodulation
0
answers
34
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
Nov 23, 2017
in
Electronic Devices

57
views
gate2017ec2
numericalanswers
electronicdevices
0
answers
35
GATE ECE 2017 Set 2  Question: 14
Consider the circuit shown in the figure. Assume basetoemitter voltage $V_{BE}=0.8 V$ and commonbase current gain ($\alpha$) of the transistor is unity. The value of the collectortoemitter voltage $V_{CE}$ (in volt) is ____________
asked
Nov 23, 2017
in
Analog Circuits

38
views
gate2017ec2
bipolarjunctiontransistor
numericalanswers
analogcircuits
0
answers
36
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
Nov 23, 2017
in
Digital Circuits

48
views
gate2017ec2
logicgates
digitalcircuits
0
answers
37
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
Nov 23, 2017
in
Digital Circuits

58
views
gate2017ec2
digitalcircuits
combinationalcircuits
multiplexers
0
answers
38
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
Nov 23, 2017
in
Digital Circuits

40
views
gate2017ec2
semiconductor
digitalcircuits
0
answers
39
GATE ECE 2017 Set 2  Question: 18
For the system shown in the figure, $Y(s)/X(s)$ = ___________
asked
Nov 23, 2017
in
Control Systems

42
views
gate2017ec2
numericalanswers
controlsystems
0
answers
40
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
Nov 23, 2017
in
Continuoustime Signals

36
views
gate2017ec2
discretetimesignals
numericalanswers
continuoustimesignals
signalsandsystems
1,174
questions
79
answers
11
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