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Recent questions tagged gate2017ec2
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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 _______________
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Nov 25, 2017
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Electromagnetics
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gate2017ec2
wavesandproperties
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2
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$_{10}$ mode but not ... .1 GHz 8.19 GHz ≤ f ≤ 12.45 GHz 6.55 GHz ≤ f ≤ 13.1 GHz 1.64 GHz ≤ f ≤ 10.24 GHz
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Nov 25, 2017
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Electromagnetics
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gate2017ec2
waveguides
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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]
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Nov 25, 2017
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Electronic Devices
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gate2017ec2
driftvelocity
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4
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
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Nov 25, 2017
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Communications
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gate2017ec2
informationtheory
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5
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 ____________
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Nov 25, 2017
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Communications
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gate2017ec2
analogcommunications
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0
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6
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
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Communications
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admin
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2.7k
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gate2017ec2
ammodulation
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7
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 $H(f)$ ... ? Number = 1, frequency = 7 Number = 3, frequencies = 2,7,11 Number = 2, frequencies = 2,7 Number = 2, frequencies = 7,11
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Nov 25, 2017
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Communications
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gate2017ec2
analogcommunication
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8
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 splane is 0 1 2 3
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Nov 25, 2017
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Control Systems
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gate2017ec2
0
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0
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9
GATE2017 EC2: 47
A secondorder LTI system is described by the following state equations, $\frac{d}{dt}x_1(t)x_2(t)=0$ $\frac{d}{dt}x_2(t)+2x_1(t)+3x_2(t)=r(t)$ 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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Nov 25, 2017
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Control Systems
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2.7k
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gate2017ec2
ltisystems
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10
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
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2.7k
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gate2017ec2
0
votes
0
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11
GATE2017 EC2: 45
A programmable logic array (PLA) is shown in the figure. The Boolean function F implemented is $\bar{P}\bar{Q}R+\bar{P}QR+P\bar{Q}\bar{R}$ $(\bar{P}+\bar{Q}+R)(\bar{P}+Q+R)(P+\bar{Q}+\bar{R})$ $\bar{P}\bar{Q}R+\bar{P}QR+P\bar{Q}R$ $(\bar{P}+\bar{Q}+R)(\bar{P}+Q+R)(P+\bar{Q}+R)$
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Nov 25, 2017
in
Digital Circuits
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gate2017ec2
pla
+1
vote
2
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12
GATE2017 EC2: 44
Figure Ⅰ shows a 4bit 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 the inputs ... $Y_3Y_2Y_1Y_0=0100$ and $Z_0=1$. The output of the ripple carry adder will be stable at t (in ns) = ___________
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Nov 25, 2017
in
Digital Circuits
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gate2017ec2
0
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0
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13
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 S0. 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
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2.7k
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gate2017ec2
fsm
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14
GATE2017 EC2: 42
In the voltage reference circuit shown in the figure, the opamp is ideal and the transistors $Q_1$, $Q_2$,.....,$Q_{32}$ are identical in all respects and have infinitely large values of commonemitter current gain (β). The collector current $(Ic)$ of the ... 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
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admin
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2.7k
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gate2017ec2
opamp
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votes
0
answers
15
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).
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Nov 25, 2017
in
Analog Circuits
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admin
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2.7k
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gate2017ec2
bjttransistor
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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
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Nov 25, 2017
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Analog Circuits
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gate2017ec2
transistor
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17
GATE2017 EC2: 39
An abrupt pn junction (located at x=0t ) is uniformly doped on both p and n sides. The width of the depletion region is W and the electric field variation in thr xdirectionis $E(x)$. Which of the following figures represents the electric field profile near the pn junction?
asked
Nov 25, 2017
in
Electronic Devices
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gate2017ec2
pnjunction
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18
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 $2g_{m1}$
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Nov 25, 2017
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Analog Circuits
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gate2017ec2
mosfet
biasing
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0
answers
19
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 mV. ... intensity of the incident light is increased by 20 times, assuming that the temperature remains unchanged, $V_{oc}$ (in volts) will be ____________
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Nov 25, 2017
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Analog Circuits
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gate2017ec2
pnjunction
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0
answers
20
GATE2017 EC2: 36
A MOS capacitor is fabricated on ptype 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 ___________.
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Nov 25, 2017
in
Electronic Devices
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admin
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2.7k
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gate2017ec2
moscapacitor
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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 $h_1(t)=2\delta (t+2)3\delta (t+1)$ $h_2(t)=\delta (t2)$. If the input $x(t)$ is a unit step signal, then the energy of $y(t)$ is ____________
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Nov 25, 2017
in
Continuoustime Signals
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gate2017ec2
impulseresponse
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0
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22
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→∞ is ____________
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Nov 25, 2017
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Control Systems
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gate2017ec2
transferfunction
ltisystems
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23
GATE2017 EC2: 33
Consider an LTI system with magnitude response $\left  H(f) \right =\left\{\begin{matrix} 1\frac{\left  f \right }{20} &, \left  f \right \leq 20 \\ 0&, \left  f \right > 20 \end{matrix}\right.$ ... $y(t)$ is ____________
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Nov 25, 2017
in
Control Systems
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gate2017ec2
ltisystems
0
votes
0
answers
24
GATE2017 EC2: 32
Consider the circuit shown in the figure. The Thevenin equivalent resistance (in Ω) across PQ is _____________
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Nov 25, 2017
in
Network Solution Methods
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gate2017ec2
theveninequation
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0
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25
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 ____________
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Nov 25, 2017
in
Network Solution Methods
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gate2017ec2
nodalmeshanalysis
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0
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26
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
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gate2017ec2
0
votes
0
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27
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 __________
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Nov 23, 2017
in
Probability and Statistics
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2.7k
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gate2017ec2
0
votes
0
answers
28
GATE2017 EC2: 28
If the vector function $\vec{F}=\widehat{a_x}(3yk_1z)+\widehat{a_y}(k_2x2z)\widehat{a_z}(k_3y+z)$ 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
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Nov 23, 2017
in
Linear Algebra
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admin
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2.7k
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gate2017ec2
vectoranalysis
0
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0
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29
GATE2017 EC2: 27
An integral I over a counterclockwise circle C is given by $I=\oint _c \frac{z^21}{z^2+1} e^z dz.$ If C is defined as$z=3$ , then the value of $I$ is
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Nov 23, 2017
in
Electromagnetics
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2.7k
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gate2017ec2
electrostatics
0
votes
0
answers
30
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
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gate2017ec2
0
votes
0
answers
31
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 _________
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Nov 23, 2017
in
Electromagnetics
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gate2017ec2
transmisionline
0
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0
answers
32
GATE2017 EC2: 24
Two conducting spheres S1 and S2 of radii $a$ and $b$ ($b>a$ ... $V_a=V_b$ 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
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gate2017ec2
0
votes
0
answers
33
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 40dB. The minimum number of bits per sample needed to achieve the desired SQNR is __________
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Nov 23, 2017
in
Communications
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gate2017ec2
digitalcommunications
0
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0
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34
GATE2017 EC2: 22
Consider the random process $X(t)=U+Vt,$ Where $U$ is a zeromean 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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Nov 23, 2017
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Probability and Statistics
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gate2017ec2
0
votes
0
answers
35
GATE2017 EC2: 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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Nov 23, 2017
in
Communications
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gate2017ec2
channelcapacity
0
votes
0
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36
GATE2017 EC2: 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.
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Nov 23, 2017
in
Control Systems
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gate2017ec2
lagleadcompensation
0
votes
0
answers
37
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 ... the unit step function. The value of $\lim_{t\rightarrow \infty }\left  \sqrt{x_1^2(t)+x_2^2(t)} \right $ is __________.
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Nov 23, 2017
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Continuoustime Signals
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gate2017ec2
discretetimesignals
0
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0
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38
GATE2017 EC2: 18
For the system shown in the figure, $Y(s)/X(s)$ = ___________
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Nov 23, 2017
in
Control Systems
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2.7k
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gate2017ec2
0
votes
0
answers
39
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
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Nov 23, 2017
in
Digital Circuits
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gate2017ec2
semiconductormemories
0
votes
0
answers
40
GATE2017 EC2: 16
Consider the circuit shown in the figure. The Boolean expression $F$ implemented by the circuit is $ \bar{X}\bar{Y}\bar{Z} + X Y +\bar{Y} Z $ $ \bar{X} Y\bar{Z} + X Z + \bar{Y} Z $ $ \bar{X} Y\bar{Z} +XY + \bar{Y} Z $ $ \bar{X}\bar{Y}\bar{Z} + XZ+ \bar{Y}Z $
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Nov 23, 2017
in
Digital Circuits
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gate2017ec2
multiplexer
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