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GATE ECE 2016 Set 3 | GA Question: 1
An apple costs Rs.$10$. An onion costs Rs.$8$. Select the most suitable sentence with respect to grammar and usage. The price of an apple is greater than an onion. The price of an apple is more than onion. The price of an apple is greater than that of an onion. Apples are more costlier than onions.
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Verbal Ability
Mar 28, 2018
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52
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gate2016-ec-3
verbal-ability
english-grammar
0
votes
0
answers
2
GATE ECE 2016 Set 3 | GA Question: 2
The Buddha said, “Holding on to anger is like grasping a hot coal with the intent of throwing it at someone else; you are the one who gets burnt. ” Select the word below which is closest in meaning to the word underlined above. burning igniting clutching flinging
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Verbal Ability
Mar 28, 2018
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15.8k
points
39
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gate2016-ec-3
verbal-ability
most-appropriate-word
0
votes
1
answer
3
GATE ECE 2016 Set 3 | GA Question: 3
$M$ has a son $Q$ and a daughter $R.$ He has no other children. $E$ is the mother of $P$ and daughter-in-law of $M.$ How is $P$ related to $M?$ $P$ is the son-in-law of $M$ $P$ is the grandchild of $M$ $P$ is the daughter-in-law of $M$ $P$ is the grandfather of $M$
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Analytical Aptitude
Mar 28, 2018
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15.8k
points
63
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gate2016-ec-3
analytical-aptitude
family-relationships
0
votes
0
answers
4
GATE ECE 2016 Set 3 | GA Question: 4
The number that least fits this set$:(324,441,97$ and $64)$ is $324$ $441$ $97$ $64$
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Analytical Aptitude
Mar 28, 2018
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15.8k
points
44
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gate2016-ec-3
analytical-aptitude
logical-reasoning
sequence-series
0
votes
0
answers
5
GATE ECE 2016 Set 3 | GA Question: 5
It takes $10$s and $15$s, respectively, for two trains traveling at a different constant speeds to completely pass a telegraph post. The length of the first train is $120$ m and that of the second train is $150$ m. The magnitude of the difference in the speeds of the two trains (in m/s) is _________ $2.0$ $10.0$ $12.0$ $22.0$
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Numerical Ability
Mar 28, 2018
by
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15.8k
points
42
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gate2016-ec-3
numerical-ability
speed-time-distance
0
votes
0
answers
6
GATE ECE 2016 Set 3 | GA Question: 6
The velocity $V$ of a vehicle along a straight line is measured in m/s and plotted as shown with respect to time in seconds. At the end of the $7$ seconds, how much will the odometer reading increase by (in m)? $0$ $3$ $4$ $5$
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Numerical Ability
Mar 28, 2018
by
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15.8k
points
41
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gate2016-ec-3
numerical-ability
speed-time-distance
0
votes
0
answers
7
GATE ECE 2016 Set 3 | GA Question: 7
The overwhelming number of people infected with rabies in India has been flagged by the World Health Organization as a source of concern. It is estimated that inoculating $70\%$ of pets and stray dogs against rabies can lead to a significant ... be eradicated in India by vaccinating $70\%$ of stray dogs. Stray dogs are the main source of rabies worldwide.
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Analytical Aptitude
Mar 28, 2018
by
Milicevic3306
15.8k
points
41
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gate2016-ec-3
analytical-aptitude
logical-reasoning
passage-reading
0
votes
0
answers
8
GATE ECE 2016 Set 3 | GA Question: 8
A flat is shared by four first-year undergraduate students. They agreed to allow the oldest of them to enjoy some extra space in the flat. Manu is two months older than Sravan, who is three months younger than Trideep. Pavan is one month older than Sravan. Who should occupy the extra space in the flat? Manu Sravan Trideep Pavan
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Analytical Aptitude
Mar 28, 2018
by
Milicevic3306
15.8k
points
42
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gate2016-ec-3
analytical-aptitude
logical-reasoning
0
votes
0
answers
9
GATE ECE 2016 Set 3 | GA Question: 9
Find the area bounded by the lines $3x+2y=14$, $2x-3y=5$ in the first quadrant. $14.95$ $15.25$ $15.70$ $20.35$
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Numerical Ability
Mar 28, 2018
by
Milicevic3306
15.8k
points
49
views
gate2016-ec-3
numerical-ability
geometry
cartesian-coordinates
0
votes
0
answers
10
GATE ECE 2016 Set 3 | GA Question: 10
A straight line is fit to a data set $(\text{ln }x,y).$ This line intercepts the abscissa at $\text{ln } x =0.1$ and has a slope of $-0.02$. What is the value of $y$ at $x=5$ from the fit? $-0.030$ $-0.014$ $0.014$ $0.030$
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Numerical Ability
Mar 28, 2018
by
Milicevic3306
15.8k
points
49
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gate2016-ec-3
numerical-ability
geometry
cartesian-coordinates
0
votes
0
answers
11
GATE ECE 2016 Set 3 | Question: 1
Consider a $2\times2$ sqaure matrix $\textbf{A}= \begin{bmatrix} \sigma &x\\ \omega &\sigma \end{bmatrix},$ where $x$ is unknown. If the eigen values of the matrix $\textbf{A}$ are $(\sigma + j\omega)$ and $(\sigma - j\omega)$, then $x$ is equal to $+j\omega$ $-j\omega$ $+\omega$ $-\omega$
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Linear Algebra
Mar 28, 2018
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15.8k
points
43
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gate2016-ec-3
linear-algebra
matrices
0
votes
0
answers
12
GATE ECE 2016 Set 3 | Question: 2
For $f(z)= \large\frac{\sin(z)}{z^2}$, the residue of the pole at $z = 0$ is _______
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Complex Analysis
Mar 28, 2018
by
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15.8k
points
45
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gate2016-ec-3
numerical-answers
complex-analysis
0
votes
0
answers
13
GATE ECE 2016 Set 3 | Question: 3
The probability of getting a “head” in a single toss of a biased coin is $0.3$. The coin is tossed repeatedly till a head is obtained. If the tosses are independent, then the probability of getting “head” for the first time in the fifth toss is _______
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Probability and Statistics
Mar 28, 2018
by
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15.8k
points
83
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gate2016-ec-3
probability-and-statistics
probability
independent-events
0
votes
0
answers
14
GATE ECE 2016 Set 3 | Question: 4
The integral $\int\limits_{0}^{1}\large\frac{dx}{\sqrt{(1-x)}}$ is equal to _______
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Calculus
Mar 28, 2018
by
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15.8k
points
56
views
gate2016-ec-3
numerical-answers
calculus
definite-integrals
0
votes
0
answers
15
GATE ECE 2016 Set 3 | Question: 5
Consider the first order initial value problem $y’= y+2x-x^2 ,\ y(0)=1,\ (0 \leq x < \infty)$ with exact solution $y(x) = x^2 + e^x$. For $x = 0.1$, the percentage difference between the exact solution and the solution obtained using a single iteration of the second-order Runga-Kutta method with step-size $h=0.1$ is _______
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Numerical Methods
Mar 28, 2018
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15.8k
points
48
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gate2016-ec-3
numerical-answers
numerical-methods
0
votes
0
answers
16
GATE ECE 2016 Set 3 | Question: 6
Consider the signal $x(t) = \cos(6\pi t) + \sin (8\pi t)$, where $t$ is in seconds. The Nyquist sampling rate (in samples/second) for the signal $y(t) = x(2t + 5)$ is $8$ $12$ $16$ $32$
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Control Systems
Mar 28, 2018
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15.8k
points
32
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gate2016-ec-3
control-systems
nyquist
0
votes
0
answers
17
GATE ECE 2016 Set 3 | Question: 7
If the signal $x(t) = \large \frac{\sin(t)}{\pi t}$*$\large \frac{\sin(t)}{\pi t}$ with $*$ denoting the convolution operation, then $x(t)$ is equal to $\large\frac{\sin(t)}{\pi t}$ $\large\frac{\sin(2t)}{2\pi t}$ $\large\frac{2\sin(t)}{\pi t}$ $\bigg(\frac{\sin(t)}{\pi t}\bigg)^2$
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Network Solution Methods
Mar 28, 2018
by
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15.8k
points
38
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gate2016-ec-3
signals-and-systems
0
votes
0
answers
18
GATE ECE 2016 Set 3 | Question: 8
A discrete-time signal $x[n] = \delta[n – 3] + 2 \delta[n – 5]$ has $z$-transform $X(z)$. If $Y(z) = X(-z)$ is the $z$-transform of another signal $y[n]$, then $y[n] = x[n]$ $y[n] = x[-n]$ $y[n] = -x[n]$ $y[n] = -x[-n]$
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Continuous-time Signals
Mar 28, 2018
by
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15.8k
points
44
views
gate2016-ec-3
continuous-time-signals
signals-and-systems
discrete-time-signals
0
votes
0
answers
19
GATE ECE 2016 Set 3 | Question: 9
In the RLC circuit shown in the figure, the input voltage is given by $v_i(t) = 2\cos (200t) + 4\sin (500t).$ The output voltage $v_o(t)$ is $\cos (200t) + 2\sin (500t)$ $2\cos (200t) + 4\sin (500t)$ $\sin (200t) + 2\cos (500t)$ $2\sin (200t) + 4\cos (500t)$
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Network Solution Methods
Mar 28, 2018
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Milicevic3306
15.8k
points
45
views
gate2016-ec-3
network-solution-methods
rlc-circuits
0
votes
0
answers
20
GATE ECE 2016 Set 3 | Question: 10
The $I-V$ characteristics of three types of diodes at the room temperature, made of semiconductors $X, Y$ and $Z$, are shown in the figure. Assume that the diodes are uniformly doped and identical in all respects except their materials. If $E_{gX}$,$E_{gY}$ ... $E_{gX}=E_{gY}=E_{gZ}$ $E_{gX}<E_{gY}<E_{gZ}$ no relationship among these band gaps exists.
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Number Representations
Mar 28, 2018
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15.8k
points
62
views
gate2016-ec-3
digital-circuits
semiconductor
0
votes
0
answers
21
GATE ECE 2016 Set 3 | Question: 11
The figure shows the band diagram of a Metal Oxide Semiconductor (MOS). The surface region of this MOS is in inversion accumulation depletion flat band
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Electronic Devices
Mar 28, 2018
by
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15.8k
points
41
views
gate2016-ec-3
electronic-devices
0
votes
0
answers
22
GATE ECE 2016 Set 3 | Question: 12
The figure shows the $I-V$ characteristics of a solar cell illuminated uniformly with solar light of power $100\ mW/cm^2$. The solar cell has an area of $3\ cm^2$ and a fill factor of $0.7$. The maximum efficiency (in $\%$) of the device is _______
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Electronic Devices
Mar 28, 2018
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15.8k
points
48
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gate2016-ec-3
numerical-answers
electronic-devices
0
votes
0
answers
23
GATE ECE 2016 Set 3 | Question: 13
The diodes $D1$ and $D2$ in the figure are ideal and the capacitors are identical. The product $RC$ is very large compared to the time period of the ac voltage. Assuming that the diodes do not breakdown in the reverse bias, the output voltage $V_o$(in volt) at the steady state is _______
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Network Solution Methods
Mar 28, 2018
by
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15.8k
points
73
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gate2016-ec-3
numerical-answers
network-solution-methods
diodes
steady-state
0
votes
0
answers
24
GATE ECE 2016 Set 3 | Question: 14
Consider the circuit shown in the figure. Assuming $V_{EE1} = V_{EE2} = 0.7$ volt, the value of the dc voltage $V_{C2}$(in volt) is _______
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Analog Circuits
Mar 28, 2018
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15.8k
points
61
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gate2016-ec-3
numerical-answers
analog-circuits
0
votes
0
answers
25
GATE ECE 2016 Set 3 | Question: 15
In the astable multivibrator circuit shown in the figure, the frequency of oscillation (in kHz) at the output pin $3$ is _______
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Analog Circuits
Mar 28, 2018
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15.8k
points
73
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gate2016-ec-3
numerical-answers
analog-circuits
oscillator
0
votes
0
answers
26
GATE ECE 2016 Set 3 | Question: 16
In an $8085$ microprocessor, the contents of the accumulator and the carry flag are $A7$ (in hex) and $0$, respectively. If the instruction $RLC$ is executed, then the contents of the accumulator (in hex) and the carry flag, respectively, will be $4E$ and $0$ $4E$ and $1$ $4F$ and $0$ $4F$ and $1$
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Digital Circuits
Mar 28, 2018
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15.8k
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36
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gate2016-ec-3
digital-circuits
microprocessor-8085
0
votes
0
answers
27
GATE ECE 2016 Set 3 | Question: 17
The logic functionality realized by the circuit shown below is $OR$ $XOR$ $NAND$ $AND$
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Digital Circuits
Mar 28, 2018
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Milicevic3306
15.8k
points
67
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gate2016-ec-3
digital-circuits
combinational-circuits
logic-gates
0
votes
0
answers
28
GATE ECE 2016 Set 3 | Question: 18
The minimum number of $2$-input $NAND$ gates required to implement a $2$-input $XOR$ gate is $4$ $5$ $6$ $7$
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Digital Circuits
Mar 28, 2018
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Milicevic3306
15.8k
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43
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gate2016-ec-3
digital-circuits
combinational-circuits
logic-gates
0
votes
0
answers
29
GATE ECE 2016 Set 3 | Question: 19
The block diagram of a feedback control system is shown in the figure. The overall closed-loop gain of $G$ of the system is $G = \large\frac{G_1G_2}{1+G_1H_1} \\$ $G = \large\frac{G_1G_2}{1+G_1G_2+G_1H_1} \\$ $G = \large\frac{G_1G_2}{1+G_1G_2H_1} \\$ $G = \large\frac{G_1G_2}{1+G_1G_2+G_1G_2H_1}$
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Control Systems
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55
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gate2016-ec-3
control-systems
block-diagram-representation
0
votes
0
answers
30
GATE ECE 2016 Set 3 | Question: 20
For the unity feedback control system shown in the figure, the open-loop transfer function $G(s)$ is given as $G(s) = \frac{2}{s(s+1)}$ The steady state error $e_{ss}$ due to a unit step input is $0$ $0.5$ $1.0$ $\infty$
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Control Systems
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67
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gate2016-ec-3
control-systems
transfer-function
0
votes
0
answers
31
GATE ECE 2016 Set 3 | Question: 21
For a superheterodyne receiver, the intermediate frequency is $15\ MHz$ and the local oscillator frequency is $3.5\ GHz$. If the frequency of the received signal is greater than the local oscillator frequency, then the image frequency (in $MHz$) is _______
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Analog Circuits
Mar 28, 2018
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15.8k
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40
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gate2016-ec-3
numerical-answers
analog-circuits
oscillator
0
votes
0
answers
32
GATE ECE 2016 Set 3 | Question: 22
An analog baseband signal, bandlimited to $100\ Hz$, is sampled at the Nyquist rate. The samples are quantized into four message symbols that occur independently with probabilities $p_1 = p_4 = 0.125$ and $p_2 = p_3$. The information rate (bits/sec) of the message source is _______
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Control Systems
Mar 28, 2018
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Milicevic3306
15.8k
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36
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gate2016-ec-3
numerical-answers
control-systems
nyquist
probability
0
votes
0
answers
33
GATE ECE 2016 Set 3 | Question: 23
A binary baseband digital communication system employs the signal $p(t) = \begin{cases}\large\frac{1}{\sqrt T_s},&0\leq t\leq T_s \\ \: 0, & \text{otherwise} \end{cases}$ for transmission of bits. The graphical representation of the matched filter output $y(t)$ for this signal will be
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Communications
Mar 28, 2018
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15.8k
points
46
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gate2016-ec-3
digital-communications
communications
0
votes
0
answers
34
GATE ECE 2016 Set 3 | Question: 24
If a right-handed circularly polarized wave is incident normally on a plane perfect conductor, then the reflected wave will be right-handed circularly polarized left-handed circularly polarized elliptically polarized with a tilt angle of $45^ \circ$ horizontally polarized
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Electromagnetics
Mar 28, 2018
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15.8k
points
44
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gate2016-ec-3
electromagnetics
polarization
0
votes
0
answers
35
GATE ECE 2016 Set 3 | Question: 25
Faraday's law of electromagnetic induction is mathematically described by which one of the following equations? $\nabla\ \bullet \overrightarrow{B} = 0$ $\nabla\ \bullet \overrightarrow{D} = \rho_V$ ...
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Electromagnetics
Mar 28, 2018
by
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15.8k
points
41
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gate2016-ec-3
electromagnetics
0
votes
0
answers
36
GATE ECE 2016 Set 3 | Question: 26
The particular solution of the initial value problem given below is $\frac{d^2y}{dx^2}+12\frac{dy}{dx}+36y=0\hspace{0.3cm} \text{ with } \hspace{0.3cm}y(0)=3\hspace{0.3cm} \text{ and }\hspace{0.3cm} \frac{dy}{dx} \bigg| _{x=0} =-36$ $(3-18x)e^{-6x}$ $(3+25x)e^{-6x}$ $(3+20x)e^{-6x}$ $(3-12x)e^{-6x}$
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Differential Equations
Mar 28, 2018
by
Milicevic3306
15.8k
points
45
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gate2016-ec-3
differential-equations
0
votes
1
answer
37
GATE ECE 2016 Set 3 | Question: 27
If the vectors $e_1=(1,0,2)$, $e_2=(0,1,0)$ and $e_3=(-2,0,1)$ form an orthogonal basis of the three-dimensional real space $\mathbb{R}^3$, then the vector $\textbf{u}=(4,3,-3)\in \mathbb{R}^3 $ can be expressed as $\textbf{u}=-$ ... \frac{2}{5}$e_1+3e_2+$\large\frac{11}{5}$e_3 \\$ $\textbf{u}=-$\large\frac{2}{5}$e_1+3e_2-$\large\frac{11}{5}$e_3$
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Vector Analysis
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by
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15.8k
points
103
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gate2016-ec-3
vector-analysis
0
votes
0
answers
38
GATE ECE 2016 Set 3 | Question: 28
A triangle in the $xy$-plane is bounded by the straight lines $2x=3y, \: y=0$ and $x=3$. The volume above the triangle and under the plane $x+y+z=6$ is _______
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Vector Analysis
Mar 28, 2018
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Milicevic3306
15.8k
points
56
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gate2016-ec-3
numerical-answers
vector-analysis
vector-in-planes
0
votes
0
answers
39
GATE ECE 2016 Set 3 | Question: 29
The values of the integral $\large\frac{1}{2\pi j}\oint_c\frac{e^z}{(z-2)} \small dz$ along a closed contour $c$ in anti-clockwise direction for the point $z_0=2$ inside the contour $c$, and the point $z_0=2$ outside the contour $c$, respectively,are $(i)2.72, \: (ii) 0$ $(i)7.39, \: (ii) 0$ $(i)0, \: (ii) 2.72$ $(i)0, \: (ii) 7.39$
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Complex Analysis
Mar 28, 2018
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15.8k
points
31
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gate2016-ec-3
complex-analysis
0
votes
0
answers
40
GATE ECE 2016 Set 3 | Question: 31
The ROC (region of convergence) of the $z$-transform of a discrete-time signal is represented by the shaded region in the $z$-plane. If the signal $x[n]=(2.0)^{\mid n\mid},-\infty<n<+\infty$, then the ROC of its $z$-transform is represented by
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Numerical Methods
Mar 28, 2018
by
Milicevic3306
15.8k
points
35
views
gate2016-ec-3
numerical-methods
convergence-criteria
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