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1
GATE2017 EC2: 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
gate2017ec2
numericalanswers
communications
0
votes
0
answers
2
GATE2017 EC2: 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
gate2017ec2
channelcapacitytheorem
communications
0
votes
0
answers
3
GATE2017 EC2: 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 ____________$\times 10^{8}$ m. [ ... electron $e=1.6\times 10^{19}$ C, and permittivity $\varepsilon _0=(1/36\pi)\times 10^{9}$ F/m]
asked
Nov 25, 2017
in
Electronic Devices
gate2017ec2
numericalanswers
electronicdevices
0
votes
0
answers
4
GATE2017 EC2: 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 $25 \%$ above the cutoff frequency of the $TE_{10}$ ... $6.55 \: GHz \leq f \leq 13.1 \: GHz$ $1.64 \: GHz \leq f \leq 10.24 \: GHz$
asked
Nov 25, 2017
in
Electromagnetics
gate2017ec2
waveguides
electromagnetics
0
votes
0
answers
5
GATE2017 EC2: 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
gate2017ec2
numericalanswers
electromagnetics
0
votes
0
answers
6
GATE2017 EC2: 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
gate2017ec2
transistor
analogcircuits
0
votes
0
answers
7
GATE2017 EC2: 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
gate2017ec2
bipolarjunctiontransistor
numericalanswers
analogcircuits
0
votes
0
answers
8
GATE2017 EC2: 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 $(Ic)$ of the ... figure 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
gate2017ec2
opamps
numericalanswers
analogcircuits
0
votes
0
answers
9
GATE2017 EC2: 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
gate2017ec2
fsm
numericalanswers
digitalcircuits
+1
vote
2
answers
10
GATE2017 EC2: 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 all ... $Y_3Y_2Y_1Y_0=0100$ 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
gate2017ec2
numericalanswers
logicgates
digitalcircuits
0
votes
0
answers
11
GATE2017 EC2: 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
gate2017ec2
programmablelogicarray
booleanalgebra
digitalcircuits
0
votes
0
answers
12
GATE2017 EC2: 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
gate2017ec2
numericalanswers
controlsystems
feedbackprinciple
0
votes
0
answers
13
GATE2017 EC2: 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
gate2017ec2
lineartimeinvariantsystems
controlsystems
0
votes
0
answers
14
GATE2017 EC2: 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
gate2017ec2
controlsystems
nyquist
0
votes
0
answers
15
GATE2017 EC2: 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 $H(f)$ ... $= 7$ Number $= 3$, frequencies $= 2,7,11$ Number $= 2$, frequencies $= 2,7$ Number $= 2$, frequencies $= 7,11$
asked
Nov 25, 2017
in
Continuoustime Signals
gate2017ec2
continuoustimesignals
0
votes
0
answers
16
GATE2017 EC2: 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
gate2017ec2
amplitudemodulation
numericalanswers
communications
0
votes
0
answers
17
GATE2017 EC2: 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
gate2017ec2
electronicdevices
carriertransport
0
votes
0
answers
18
GATE2017 EC2: 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
gate2017ec2
thevenintheorem
numericalanswers
networksolutionmethods
0
votes
0
answers
19
GATE2017 EC2: 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 $\arg \{ H(f) \}=  2f.$ ... $y(t)$ is ____________
asked
Nov 25, 2017
in
Control Systems
gate2017ec2
lineartimeinvariantsystems
numericalanswers
controlsystems
0
votes
0
answers
20
GATE2017 EC2: 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
gate2017ec2
transferfunction
lineartimeinvariantsystems
numericalanswers
controlsystems
0
votes
0
answers
21
GATE2017 EC2: 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
gate2017ec2
impulseresponse
numericalanswers
continuoustimesignals
signalsandsystems
0
votes
0
answers
22
GATE2017 EC2: 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 levels of Si ... of this 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
gate2017ec2
moscapacitor
numericalanswers
electronicdevices
0
votes
0
answers
23
GATE2017 EC2: 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 be $25$ ... of 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
gate2017ec2
pnjunction
numericalanswers
analogcircuits
0
votes
0
answers
24
GATE2017 EC2: 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 ($V_{GS}V_{TH}$) of T2 is double that of T1,where $V_{GS}$ ... $2g_{m1}$ $8I_{D1}$ and $4g_{m1}$ $4I_{D1}$ and $4g_{m1}$ $4I_{D1}$ and $2g_{m1}$
asked
Nov 25, 2017
in
Analog Circuits
gate2017ec2
mosfet
biasing
analogcircuits
0
votes
0
answers
25
GATE2017 EC2: 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
gate2017ec2
pnjunction
electronicdevices
0
votes
0
answers
26
GATE2017 EC2: 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
gate2017ec2
digitalcommunications
numericalanswers
pulsecodemodulation
0
votes
0
answers
27
GATE2017 EC2: 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 field on $S1$ ... $V_a=V_b$ and $E_a<E_b$ $V_a>V_b$ and $E_a>E_b$ $V_a=V_b$ and $E_a>E_b$ $V_a>V_b$ and $E_a=E_b$
asked
Nov 23, 2017
in
Electromagnetics
gate2017ec2
electromagnetics
0
votes
0
answers
28
GATE2017 EC2: 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
gate2017ec2
transmisionline
numericalanswers
electromagnetics
0
votes
0
answers
29
GATE2017 EC2: 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
gate2017ec2
integrals
calculus
engineeringmathematics
0
votes
0
answers
30
GATE2017 EC2: 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
gate2017ec2
electrostatics
electromagnetics
0
votes
0
answers
31
GATE2017 EC2: 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
gate2017ec2
vectoranalysis
engineeringmathematics
+1
vote
0
answers
32
GATE2017 EC2: 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
gate2017ec2
numericalanswers
probability
engineeringmathematics
0
votes
0
answers
33
GATE2017 EC2: 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
Linear Algebra
gate2017ec2
numericalanswers
linearalgebra
engineeringmathematics
0
votes
0
answers
34
GATE2017 EC2: 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
gate2017ec2
numericalanswers
electronicdevices
0
votes
0
answers
35
GATE2017 EC2: 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
gate2017ec2
bipolarjunctiontransistor
numericalanswers
analogcircuits
0
votes
0
answers
36
GATE2017 EC2: 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
gate2017ec2
logicgates
digitalcircuits
0
votes
0
answers
37
GATE2017 EC2: 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
gate2017ec2
multiplexers
digitalcircuits
0
votes
0
answers
38
GATE2017 EC2: 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
gate2017ec2
semiconductor
digitalcircuits
0
votes
0
answers
39
GATE2017 EC2: 18
For the system shown in the figure, $Y(s)/X(s)$ = ___________
asked
Nov 23, 2017
in
Control Systems
gate2017ec2
numericalanswers
controlsystems
0
votes
0
answers
40
GATE2017 EC2: 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 the initial ... step 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
gate2017ec2
discretetimesignals
numericalanswers
continuoustimesignals
signalsandsystems
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