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Recent questions tagged gate2017ec1
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1
GATE2017 EC1: GA10
A contour line joins locations having the same height above the mean sea level. The following is a contour plot of a geographical region. Contour lines are shown at $25$ m intervals in this plot. The path from $P$ to $Q$ is best described by UpDownUpDown DownUpDownUp DownUpDown UpDownUp
asked
May 31
in
Numerical Ability
by
Lakshman Patel RJIT
(
130
points)
gate2017ec1
generalaptitude
numericalability
datainterpretation
0
votes
0
answers
2
GATE2017 EC1: 55
A half wavelength dipole is kept in the xy plane and oriented along 45^{o} from the xaxis. Determine the direction of null in the radiation pattern for $0\leq \phi \leq \pi$. Here the angle $\theta (0\leq \theta \leq \pi )$ is measured from the $z$ ... $\theta =45^{o},\phi =90^{o}$ $\theta =90^{o},\phi =135^{o}$ $\theta =45^{o},\phi =135^{o}$
asked
Nov 17, 2017
in
Electromagnetics
by
admin
(
2.7k
points)
gate2017ec1
antennas
0
votes
0
answers
3
GATE2017 EC1: 54
The expression for an electric field in free space is , $E=E_{0}\left ( \hat{x}+\hat{y}+j2 \hat{z} \right )e^{j\left ( \omega tkx+ky \right )}$ where $x,y,z$ represent the special coordinates, $t$ represents ... wave propagating normal to the $z$axis Represents an elliptically polarized plane wave propagating along the $x$$y$ plane Represents a linearly polarized plane wave
asked
Nov 17, 2017
in
Electromagnetics
by
admin
(
2.7k
points)
gate2017ec1
polarization
wavesproperties
0
votes
0
answers
4
GATE2017 EC1: 53
The Nyquist plot of the transfer function $G_(s)=\frac{K}{(s^{2}+2s+2)(s+2)}$ does not encircle the point $(1+j0)$ for $K=10$ but does encircle the point (1+j)) for K=100. Then the closed loop system (having unity gain feedback) is stable for $K=10$ ... for $K=10$ and unstable for $K=100$ unstable for $K=10$ and stable for $K=100$ stable for $K=10$ and unstable for $K=100$
asked
Nov 17, 2017
in
Control Systems
by
admin
(
2.7k
points)
gate2017ec1
0
votes
0
answers
5
GATE2017 EC1: 52
A continous time signal $x(t)=4cos(200\pi t)+8cos(400\pi t)$, where $t$ is in seconds, is the input to a linear time invariant (LTI) filter with the impulse response $h(t)=\left\{\begin{matrix} \frac{2sin(300\pi t)}{\pi t},\: t\neq 0\\ 600,\: t=0 \end{matrix}\right.$ Let $y(t)$ be the output of this filter. The maximum value of $\left  y(t)) \right $ is _________.
asked
Nov 17, 2017
in
Continuoustime Signals
by
admin
(
2.7k
points)
gate2017ec1
lti
0
votes
0
answers
6
GATE2017 EC1: 51
An optical fiber is kept along the $\hat{z}$ direction. The refractive indices for the electric fields along $\hat{x}$ and $\hat{y}$ directions in the fiber are $n_{x}=1.5000$ and $n_{y}=1.5001$ ... wave is circularly polarized at the input of the fiber, the minimum propagation distance after which it becomes linearly polarized, in centimeters,is______________.
asked
Nov 17, 2017
in
Electromagnetics
by
admin
(
2.7k
points)
gate2017ec1
polarization
opticalfiber
0
votes
0
answers
7
GATE2017 EC1: 50
In binary frequency shift keying (FSK), the given signal waveforms are $u_{0}(t)=5\, cos(20000\pi t)\, ;0\leq t\leq T$, and $u_{1}(t)=5\, cos(22000\pi t)\, ;0\leq t\leq T$ where $T$ is the bitduration interval and $t$ is in seconds.Both $u_{0}(t)$ and ... value of $T$ (in milliseconds) required to have $u_{0}(t)$ and $u_{1}(t)$ uncorrelated is 0.25 ms 0.5 ms 0.75 ms 1.0 ms
asked
Nov 17, 2017
in
Communications
by
admin
(
2.7k
points)
gate2017ec1
digitalcommunication
0
votes
0
answers
8
GATE2017 EC1: 49
Let $X(t)$ be a wide sense stationary random process with the power spectral density $S_{X}(f)$ as shown in Figure (a), where $f$ is in Hertz$(Hz)$. The random process $X(t)$ ... Select the correct option: only I is true only II and III are true only I and II are true only I and III are true
asked
Nov 17, 2017
in
Communications
by
admin
(
2.7k
points)
gate2017ec1
0
votes
0
answers
9
GATE2017 EC1: 48
Which one of the following options correctly describes the locations of the roots of the equation $s^{4}+s^{2}+1=0$ on the complex plane? Four left half plane(LHP) roots One right half plane(RHP) root,one LHP root and two roots on the imaginary axis Two RHP roots and two LHP roots All four roots are on the imaginary axis
asked
Nov 17, 2017
in
Linear Algebra
by
admin
(
2.7k
points)
gate2017ec1
0
votes
0
answers
10
GATE2017 EC1: 47
A linear time invariant (LTI) system with the transfer function $G(s)=K(s^{2}+2s+2)/(s_{2}3s+2)$ is connected in unity feedback configuration as shown in the figure. For the closed loop system shown, the root locus for 0<K< infinity intersects the imaginary axis ... $K>1.5$ $1<K<1.5$ $0<K<1$ no positive value of $K$
asked
Nov 17, 2017
in
Control Systems
by
admin
(
2.7k
points)
gate2017ec1
0
votes
0
answers
11
GATE2017 EC1: 46
A finite state machine (FSM) is implemented using the D flipflop A and B, and logic gates, as shown in the figure below. The four possible states of the FSM are $Q_{A}Q_{B}=00,01,10$ and $11$. Assume that $X_{IN}$ is held at a constant logic level throughout ... states if $X_{IN}=0$ only two or four possible states if $X_{IN}=1$ only two or four possible states if $X_{IN}=0$
asked
Nov 17, 2017
in
Digital Circuits
by
admin
(
2.7k
points)
gate2017ec1
digitalcommunication
0
votes
0
answers
12
GATE2017 EC1: 45
The following FIVE instructions were executed on an 8085 microprocessor. MVI A,33H MVI B, 78H ADD B CMA ANI 32H The Accumulator value immediately after the execution of the fifth instruction is 00H 10H 11H 32H
asked
Nov 17, 2017
in
Digital Circuits
by
admin
(
2.7k
points)
gate2017ec1
0
votes
0
answers
13
GATE2017 EC1: 42
The amplifier circuit shown in the figure is implemented using a compensated operational amplifier (opamp), and has an openloop voltage gain, $A_{0}=10^{5}V/V$ and an openloop cutoff frequency, $F_{c}=8Hz$. The voltage gain of the amplifier at 15 kHz, in V/V, is____________.
asked
Nov 17, 2017
in
Analog Circuits
by
admin
(
2.7k
points)
gate2017ec1
0
votes
0
answers
14
GATE2017 EC1: 43
Which one of the following gives the simplified sum of products expression for the Boolean function $F=m_{0}+m_{2}+m_{3}+m_{5}$, where $m_{0},m_{2},m_{3}$ and $m_{5}$ are minterms corresponding to the inputs $A,B$ and $C$ with $A$ as the $MSB$ and $C$ as the $LSB$? $A'B+A'BC'+AB'C$ $A'C'+A'B+AB'C$ $A'C'+AB'+AB'C$ $A'BC+A'C'+AB'C$
asked
Nov 17, 2017
in
Digital Circuits
by
admin
(
2.7k
points)
gate2017ec1
0
votes
0
answers
15
GATE2017 EC1: 44
A 4bit shift register circuit configuration for rightshift operation, i.e. $D_{in}\rightarrow A,A\rightarrow B,B\rightarrow C,C\rightarrow D$, is shown. If the present state of the shift register is $ABCD=1101$, the number of clock cycles required to reach the state $ABCD=1111$ is _________.
asked
Nov 17, 2017
in
Digital Circuits
by
admin
(
2.7k
points)
gate2017ec1
shiftregisters
0
votes
0
answers
16
GATE2017 EC1: 41
For the DC analysis of the CommonEmitter amplifier shown, neglect the base current and assume that the emitter and collector currents are equal. Given that $V_{T}=25mV,V_{BE}=0.7V$, and the BJT output resistance $r_{0}$ is practically infinite. Under these conditions, the midband voltage gain magnitude, $A_{v}=v_{0}/v_{i}$ is ____________.
asked
Nov 17, 2017
in
Analog Circuits
by
admin
(
2.7k
points)
gate2017ec1
bjtamplifier
0
votes
0
answers
17
GATE2017 EC1: 40
For the circuit shown, assume that the NMOS transistor is in saturation. Its threshold voltage $V_{tn}=1V$ and its transconductance parameter $M_{n}C_{ox}({W}/{L})=1mA/V^{2}$.Neglect channel length modulation and body bias effects. Under these conditions, the drain current $I_{D}$ in $mA$ is ________.
asked
Nov 17, 2017
in
Analog Circuits
by
admin
(
2.7k
points)
gate2017ec1
mostransistor
0
votes
0
answers
18
GATE2017 EC1: 39
In the figure shown, the $npn$ transistor acts as a switch. For the input $V_{in}(t)$ as shown in the figure, the transistor switches between the cutoff and saturation regions of operation, when $T$ is large. Assume collectortoemitter voltage at ... voltage $V_{BE}=0.7V$.The minimum value of the commonbase current gain of the transistor for the switching should be __________.
asked
Nov 17, 2017
in
Analog Circuits
by
admin
(
2.7k
points)
gate2017ec1
bjtswitch
0
votes
0
answers
19
GATE2017 EC1: 38
As shown, two Silicon (Si) abrupt pn junction diodes are fabricated with uniform donor doping concentrations of N_{D2}=10^{16}cm^{3} in the nregions of the diodes, and uniform acceptor doping concentrations of N_{A1}=10^{14} cm{3} and N_{A2 ... C_{2}/C_{1} of their reverse bias capacitance for the same applied reverse bias, is _________.
asked
Nov 17, 2017
in
Electronic Devices
by
admin
(
2.7k
points)
gate2017ec1
+1
vote
0
answers
20
GATE2017 EC1: 37
As shown , a uniformly doped Silicon bar of length $L=0.1\mu m$ with a donor concentration $N_{D}=10^{16}cm^{3}$ is illuminated at $x=0$ such that electron and hole pairs are generated at the rate of $G_{L}=G_{LO}(1\frac{x}{L}),0\leq x\leq L$, ... concentration that goes to $0$ at $x=L$, the magnitude of the diffusion current density at $x=L/2$, in $A/cm^{2}$, is ___________.
asked
Nov 17, 2017
in
Electronic Devices
by
admin
(
2.7k
points)
gate2017ec1
0
votes
0
answers
21
GATE2017 EC1: 36
The dependence of drift velocity of electrons on electric field in a semiconductor is shown below. The semiconductor has a uniform electron concentration of $n=1 \times 10^{16} cm^{3}$ and electronic charge $q=1.6 \times 10 ^{19}C$. If a bias of $5 V$ is applied across a $1 µm$ region of this semiconductor, the resulting current density in this region, in $kA/cm^{2} $, is _____.
asked
Nov 17, 2017
in
Electronic Devices
by
admin
(
2.7k
points)
gate2017ec1
driftcurrent
0
votes
0
answers
22
GATE2017 EC1: 35
The figure shows an RLC circuit excited by the sinusoidal voltage $100cos(3t) Volts$, where $t$ is in seconds. The ratio $\frac{amplitude\,of\,V_{2}}{amplitude\,of\,V{1}}$ is______.
asked
Nov 17, 2017
in
Network Solution Methods
by
admin
(
2.7k
points)
gate2017ec1
0
votes
0
answers
23
GATE2017 EC1: 34
In the circuit shown, the voltage $V_{IN}(t)$ is described by:$V_{IN}(t)=\left\{\begin{matrix} 0,\: for\, t< 0\\ 15 Volts,\: for\, t\geq 0 \end{matrix}\right.$ Where t is in seconds. The time (in seconds) at which the current I in the circuit will reach the value 2 Amperes is _____________.
asked
Nov 17, 2017
in
Analog Circuits
by
admin
(
2.7k
points)
gate2017ec1
0
votes
0
answers
24
GATE2017 EC1: 33
Let h[n] be the impulse response of a discretetime linear time invariant(LTI) filter. The impulse response is given by $h[0]=\frac{1}{3};\,h[1]=\frac{1}{3};\,h[2]=\frac{1}{3}$; and $h[n]=0$ for $n<0$ and $n>2$. Let $H(ω)$ be ... normalized angular frequency in radians. Given that $H(ω_{0})=0$ and $0< ω_{0}<π$, the value of $ω_{0}$ (in radians) is equal to__________.
asked
Nov 17, 2017
in
Continuoustime Signals
by
admin
(
2.7k
points)
gate2017ec1
dtft
0
votes
0
answers
25
GATE2017 EC1: 32
Two discretetime signals $x[n]$ and $h[n]$ are both nonzero only for $n=0,1,2$, and are $zero$ otherwise .It is given that $x[0]=1, x[1]=2, x[2]=1, h[0]=1$. Let $y[n]$ be the linear convolution of $x[n]$ and $h[n]$. Given that $y[1]=3$ and $y[2]=4$, the value of the expression $(10y[3]+y[4])$ is__________.
asked
Nov 17, 2017
in
Continuoustime Signals
by
admin
(
2.7k
points)
gate2017ec1
0
votes
0
answers
26
GATE2017 EC1: 31
Let $x(t)$ be a continuous time periodic signal with fundamental period $T=1$ seconds.Let ${a_{k} }$ be the complex Fourier series coefficients of $x(t)$, where $k$ is integer valued. Consider the following statements about $x(3t)$: I.The complex Fourier ... which one of the following is correct? Only II and III are true Only I and III are true Only III is true Only I is true
asked
Nov 17, 2017
in
Continuoustime Signals
by
admin
(
2.7k
points)
gate2017ec1
fourierseries
0
votes
0
answers
27
GATE2017 EC1: 30
For the circuit shown, assume that the NMOS transistor is in saturation.Its threshold voltage $V_{tn}$=1V and its transconductance $\mu C_{ox}(\frac{W}{L})=1mA/V^{2}$.Neglect channel length modulation and body bias effects. Under these conditions, the drain current $I_D$ in $mA$ is _____________.
asked
Nov 17, 2017
in
Analog Circuits
by
admin
(
2.7k
points)
gate2017ec1
mosfetbiasing
0
votes
0
answers
28
GATE2017 EC1: 29
Which one of the following is the general solution of the first order differential equation $\frac{dy}{dx}=(x+y1)^{2}$ where $x,y$ are real? $y=1+x+tan^{1}(x+c)$, where $c$ is a constant $y=1+x+tan(x+c)$, where $c$ is a constant $y=1x+tan^{1}(x+c)$, where $c$ is a constant $y=1x+tan(x+c)$, where $c$ is a constant
asked
Nov 17, 2017
in
Differential Equations
by
admin
(
2.7k
points)
gate2017ec1
firstorderdifferentialequation
0
votes
0
answers
29
GATE2017 EC1: 28
Let $I=\int_{c}\left ( 2zdx+2ydy+2xdx \right )$ where $x,y,z$ are real, and let $C$ be the straight line segment from point $A:(0,2,1)$ to point $B:(4,1,1)$.The value of $I$ is ____________.
asked
Nov 17, 2017
in
Vector Analysis
by
admin
(
2.7k
points)
gate2017ec1
0
votes
0
answers
30
GATE2017 EC1: 27
A three dimensional region $R$ of finite volume is described by $x^{2}+y^{2}\leq z^{3};0\leq z\leq 1$ where, $x,y,z$ are real.The volume of $R$ (up to two decimal places) is ________.
asked
Nov 17, 2017
in
Calculus
by
admin
(
2.7k
points)
gate2017ec1
volumeintegrals
0
votes
0
answers
31
GATE2017 EC1: 26
Let $f(x)=e^{x+x^{2}}$ for real $x$ .From among the following ,choose the Taylor series approximation of $f(x)$ around $x=0$, which includes all powers of $x$ less than or equal to 3. $1 + x + x^{2} + x^{3} $ $1 + x +\frac{3}{2} x^{2} + x^{3} $ $1 + x +\frac{3}{2} x^{2} + \frac{7}{6}x^{3} $ $1 + x +3 x^{2} + 7x^{3} $
asked
Nov 17, 2017
in
Calculus
by
admin
(
2.7k
points)
gate2017ec1
taylorseries
0
votes
0
answers
32
GATE2017 EC1: 25
Consider a wireless communication link between a transmitter and a receiver located in free space, with finite and strictly positive capacity. If the effective areas of the transmitter and the receiver antennas, and the distance between them are all doubled, and everything else ... a factor of $2$ Decreases by a factor of $2$ Remains unchanged Decreases by a factor of $\sqrt{2}$
asked
Nov 17, 2017
in
Electromagnetics
by
admin
(
2.7k
points)
gate2017ec1
wirelesscommunication
antennas
0
votes
0
answers
33
GATE2017 EC1: 24
Starting with $x=1$, the solution of the equation $x^{3}+x=1$, after two iterations of NewtonRaphson’s method(up to two decimal places) is__________.
asked
Nov 17, 2017
in
Differential Equations
by
admin
(
2.7k
points)
gate2017ec1
0
votes
0
answers
34
GATE2017 EC1: 23
The voltage of an electromagnetic wave propagating in a coaxial cable with uniform characteristic impedance is $V(l)=$ $e^{\gamma l\dotplus j\omega t }Volts$, where $l$ is the distance along the length of the cable in meters, $γ=(0.1+j40)m^{1}$ ... $dB/meter$ is__________.
asked
Nov 17, 2017
in
Electromagnetics
by
admin
(
2.7k
points)
gate2017ec1
transmissionlines
impedence
0
votes
0
answers
35
GATE2017 EC1: 22
Consider a stable system with transfer function,$G(s)=\frac{s^{p}+b_{1}s^{p1}+....b_{p}}{s^{q}+a_{1}s^{q1}+....a_{q}}$, where $b1,….,bq$ and $a1,….,aq$ are real valued constants.The slope of the Bode log magnitude curve of $G(s)$ converges to $60 dB/decade$ as $ω→∞$.A possible pair of values for $p$ and $q$ is $p$=0 and $q$=3 $p$=1 and $q$=7 $p$=2 and $q$=3 $p$=3 and $q$=5
asked
Nov 17, 2017
in
Control Systems
by
admin
(
2.7k
points)
gate2017ec1
bodeplot
0
votes
0
answers
36
GATE2017 EC1: 21
Let $\left ( X_{1},X_{2} \right )$ be independent random variables. $\left ( X_{1} \right )$ has mean $0$ and variance $1$, while $\left ( X_{2} \right )$ has mean $1$ and variance $4$. The mutual information $I\left (X_{1},X_{2} \right )$ between $X1$ and $X2$ in bits is_______.
asked
Nov 17, 2017
in
Communications
by
admin
(
2.7k
points)
gate2017ec1
informationtheory
mutualinformation
0
votes
0
answers
37
GATE2017 EC1: 20
Which one of the following statements about differential pulse code modulation (DPCM) is true? The sum of message signal sample with its prediction is quantized The message signal sample is directly quantized, and its prediction is not used The ... of message signal sample and a random signal is quantized The difference of message signal sample with its prediction is quantized
asked
Nov 17, 2017
in
Communications
by
admin
(
2.7k
points)
gate2017ec1
digitalcommunications
modulation
0
votes
0
answers
38
GATE2017 EC1: 19
In a digital communication system, the overall pulse shape p(t) at the receiver before the sampler has the Fourier transform P(f). If the symbols are transmitted at the rate of 2000 symbols per second, for which of the following cases is the inter symbol interference zero?
asked
Nov 17, 2017
in
Communications
by
admin
(
2.7k
points)
gate2017ec1
digitalcommunication
interference
0
votes
0
answers
39
GATE2017 EC1: 18
The open loop transfer function $G(s)=\frac{(s+1))}{s^{p}(s+2)(s+3)}$, where p is an integer, is connected in unity feedback configuration as shown in figure. Given that the steady state error is zero for unit step input and is 6 for unit ramp input, the parameter p is__________.
asked
Nov 17, 2017
in
Control Systems
by
admin
(
2.7k
points)
gate2017ec1
0
votes
0
answers
40
GATE2017 EC1: 17
Consider the DLatch shown in the figure, which is transparent when its clock input $CK$ is high and has zero propagation delay. In the figure , the clock signal $CLK$ has a 50% duty cycle and $CLK2$ is a onefifth period delayed version of $CLK1$.The duty cycle at the output of the latch in percentage is _________.
asked
Nov 17, 2017
in
Digital Circuits
by
admin
(
2.7k
points)
gate2017ec1
latch
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