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Recent questions tagged gate2017-ec-2
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GATE ECE 2017 Set 2 | Question: 54
Standard air-filled 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 $25 \%$ ... $6.55 \: GHz \leq f \leq 13.1 \: GHz$ $1.64 \: GHz \leq f \leq 10.24 \: GHz$
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Electromagnetics
Nov 25, 2017
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gate2017-ec-2
waveguides
electromagnetics
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0
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2
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]
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Electronic Devices
Nov 25, 2017
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144
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gate2017-ec-2
numerical-answers
electronic-devices
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0
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3
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 _______________
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Electromagnetics
Nov 25, 2017
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158
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gate2017-ec-2
numerical-answers
electromagnetics
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4
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
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Communications
Nov 25, 2017
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171
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gate2017-ec-2
channel-capacity-theorem
communications
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5
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 ____________
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Communications
Nov 25, 2017
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admin
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61
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gate2017-ec-2
numerical-answers
communications
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vote
0
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6
GATE ECE 2017 Set 2 | Question: 45
A programmable logic array (PLA) is shown in the figure. The Boolean function $F$ implemented is $\overline{P} \: \overline{Q}R+ \overline{P}QR+P \overline{Q} \: \overline{R}$ $(\overline{P}+\overline{Q}+R)(\overline{P}+Q+R)(P+\overline{Q}+\overline{R})$ ... $(\overline{P}+\overline{Q}+R)(\overline{P}+Q+R)(P+\overline{Q}+R)$
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Digital Circuits
Nov 25, 2017
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161
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gate2017-ec-2
digital-circuits
combinational-circuits
logic-gates
1
vote
2
answers
7
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 full-adder (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) = ___________
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Digital Circuits
Nov 25, 2017
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2.2k
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gate2017-ec-2
numerical-answers
digital-circuits
combinational-circuits
adder
0
votes
0
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8
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 left-most bit, then the number of times 'Out' will be $1$ is ____________
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Digital Circuits
Nov 25, 2017
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212
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gate2017-ec-2
fsm
numerical-answers
digital-circuits
0
votes
0
answers
9
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 _________
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Communications
Nov 25, 2017
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admin
2.8k
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150
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gate2017-ec-2
amplitude-modulation
numerical-answers
communications
0
votes
0
answers
10
GATE ECE 2017 Set 2 | Question: 47
A second-order 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
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Control Systems
Nov 25, 2017
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2.8k
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207
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gate2017-ec-2
linear-time-invariant-systems
control-systems
0
votes
0
answers
11
GATE ECE 2017 Set 2 | Question: 48
A unity feedback control system is characterized by the open-loop 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 closed-loop transfer function that lie in the right-half of the $s$-plane is $0$ $1$ $2$ $3$
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Control Systems
Nov 25, 2017
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2.8k
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166
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gate2017-ec-2
control-systems
nyquist
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votes
0
answers
12
GATE ECE 2017 Set 2 | Question: 46
A unity feedback control system is characterized by the open-loop 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 ___________
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Control Systems
Nov 25, 2017
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admin
2.8k
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165
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gate2017-ec-2
numerical-answers
control-systems
feedback-principle
0
votes
0
answers
13
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 $= 7,11$
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Continuous-time Signals
Nov 25, 2017
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admin
2.8k
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260
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gate2017-ec-2
continuous-time-signals
0
votes
0
answers
14
GATE ECE 2017 Set 2 | Question: 42
In the voltage reference circuit shown in the figure, the op-amp is ideal and the transistors $Q_1, Q_2, \dots ,Q_{32}$ are identical in all respects and have infinitely large values of common-emitter 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 ______________
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Analog Circuits
Nov 25, 2017
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61
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gate2017-ec-2
op-amps
numerical-answers
analog-circuits
0
votes
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 mid-band frequency range is __________(up to second decimal place).
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Analog Circuits
Nov 25, 2017
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admin
2.8k
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95
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gate2017-ec-2
bipolar-junction-transistor
numerical-answers
analog-circuits
0
votes
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
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Analog Circuits
Nov 25, 2017
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51
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gate2017-ec-2
transistor
analog-circuits
0
votes
0
answers
17
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 ____________
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Analog Circuits
Nov 25, 2017
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51
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gate2017-ec-2
p-n-junction
numerical-answers
analog-circuits
0
votes
0
answers
18
GATE ECE 2017 Set 2 | Question: 32
Consider the circuit shown in the figure. The Thevenin equivalent resistance (in Ω) across P-Q is _____________
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Network Solution Methods
Nov 25, 2017
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admin
2.8k
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160
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gate2017-ec-2
thevenin-theorem
numerical-answers
network-solution-methods
0
votes
0
answers
19
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 ____________
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Electronic Devices
Nov 25, 2017
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admin
2.8k
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170
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gate2017-ec-2
electronic-devices
carrier-transport
0
votes
0
answers
20
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?
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Electronic Devices
Nov 25, 2017
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admin
2.8k
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105
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gate2017-ec-2
p-n-junction
electronic-devices
0
votes
0
answers
21
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 ____________
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Control Systems
Nov 25, 2017
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2.8k
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72
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gate2017-ec-2
transfer-function
linear-time-invariant-systems
numerical-answers
control-systems
0
votes
0
answers
22
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 ____________
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Control Systems
Nov 25, 2017
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admin
2.8k
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78
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gate2017-ec-2
linear-time-invariant-systems
numerical-answers
control-systems
0
votes
0
answers
23
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 ____________
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Continuous-time Signals
Nov 25, 2017
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admin
2.8k
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83
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gate2017-ec-2
impulse-response
numerical-answers
continuous-time-signals
signals-and-systems
0
votes
0
answers
24
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 ___________.
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Electronic Devices
Nov 25, 2017
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2.8k
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208
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gate2017-ec-2
mos-capacitor
numerical-answers
electronic-devices
0
votes
0
answers
25
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 $2g_{m1}$
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Analog Circuits
Nov 25, 2017
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admin
2.8k
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201
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gate2017-ec-2
mosfet
biasing
analog-circuits
1
vote
0
answers
26
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 __________
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Probability and Statistics
Nov 23, 2017
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admin
2.8k
points
201
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gate2017-ec-2
numerical-answers
probability-and-statistics
probability
0
votes
0
answers
27
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 $x =$ ________.
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Calculus
Nov 23, 2017
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2.8k
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76
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gate2017-ec-2
numerical-answers
calculus
maxima-minima
0
votes
0
answers
28
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 $0.3, -2.5, 0.5$ $0.0, 3.0, 2.0$ $0.3, 0.33, 0.5$ $4.0, 3.0, 2.0$
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Vector Analysis
Nov 23, 2017
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admin
2.8k
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79
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gate2017-ec-2
vector-analysis
0
votes
0
answers
29
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
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Calculus
Nov 23, 2017
by
admin
2.8k
points
43
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gate2017-ec-2
calculus
definite-integrals
0
votes
0
answers
30
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 __________
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Communications
Nov 23, 2017
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admin
2.8k
points
379
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gate2017-ec-2
digital-communications
numerical-answers
pulse-code-modulation
0
votes
0
answers
31
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 $E_a=E_b$
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Electromagnetics
Nov 23, 2017
by
admin
2.8k
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158
views
gate2017-ec-2
electromagnetics
0
votes
0
answers
32
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 _________
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Electromagnetics
Nov 23, 2017
by
admin
2.8k
points
70
views
gate2017-ec-2
transmision-line
numerical-answers
electromagnetics
0
votes
0
answers
33
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 $-\pi i \sin(1)$ $- 2\pi i \sin(1)$ $-3\pi i \sin(1)$ $-4\pi i \sin(1)$
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Electromagnetics
Nov 23, 2017
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admin
2.8k
points
56
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gate2017-ec-2
electrostatics
electromagnetics
0
votes
0
answers
34
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 $
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Number Representations
Nov 23, 2017
by
admin
2.8k
points
141
views
gate2017-ec-2
digital-circuits
combinational-circuits
multiplexers
0
votes
0
answers
35
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 ________
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Probability and Statistics
Nov 23, 2017
by
admin
2.8k
points
70
views
gate2017-ec-2
numerical-answers
probability-and-statistics
probability
random-variable
uniform-distribution
0
votes
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
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Digital Circuits
Nov 23, 2017
by
admin
2.8k
points
92
views
gate2017-ec-2
logic-gates
digital-circuits
0
votes
0
answers
37
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
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Digital Circuits
Nov 23, 2017
by
admin
2.8k
points
62
views
gate2017-ec-2
semiconductor
digital-circuits
0
votes
0
answers
38
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 $p$ ?
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Communications
Nov 23, 2017
by
admin
2.8k
points
254
views
gate2017-ec-2
channel-capacity-theorem
communications
0
votes
0
answers
39
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 ____________
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Analog Circuits
Nov 23, 2017
by
admin
2.8k
points
61
views
gate2017-ec-2
bipolar-junction-transistor
numerical-answers
analog-circuits
0
votes
0
answers
40
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 $-22.6 V$
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asked
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Electronic Devices
Nov 23, 2017
by
admin
2.8k
points
103
views
gate2017-ec-2
numerical-answers
electronic-devices
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