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Recent questions tagged gate2015-ec-1
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GATE ECE 2015 Set 1 | GA Question: 1
Choose the most appropriate word from the options give below to complete the following sentence. The principal presented the chief guest with a __________, as token of appreciation. momento memento momentum’ moment
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Verbal Aptitude
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gate2015-ec-1
verbal-ability
most-appropriate-word
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2
GATE ECE 2015 Set 1 | GA Question: 2
Choose the appropriate word\phrase, out of the four options given below, to complete the following sentence : Frogs_______ croak roar hiss patter
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Verbal Aptitude
Mar 28, 2018
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gate2015-ec-1
verbal-ability
most-appropriate-word
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GATE ECE 2015 Set 1 | GA Question: 3
Choose the word most similar in meaning to the given word: Educe Expert Educate Extract Extend
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Verbal Aptitude
Mar 28, 2018
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Milicevic3306
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60
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gate2015-ec-1
verbal-ability
most-appropriate-word
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4
GATE ECE 2015 Set 1 | GA Question: 4
Operators $\square,$ $\Diamond$ and $\rightarrow$ are defined by: $a\,\square\,b=\frac{a+b}{a-b};\, a\,\Diamond, b=\frac{a+b}{a-b};$ $a\,\rightarrow\, b=ab.$ Find the value of $(66\,\square\, 6)\rightarrow(66\,\Diamond, 6).$ $-2$ $-1$ $1$ $2$
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Analytical Aptitude
Mar 28, 2018
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63
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gate2015-ec-1
analytical-aptitude
logical-reasoning
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5
GATE ECE 2015 Set 1 | GA Question: 5
If $\log_{x}{(\frac{5}{7})}=\frac{-1}{3},$ then the value of $x$ is $343/125$ $125/343$ $-25/49$ $-49/25$
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Quantitative Aptitude
Mar 28, 2018
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Milicevic3306
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80
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gate2015-ec-1
numerical-ability
logarithms
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0
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6
GATE ECE 2015 Set 1 | GA Question: 6
The following question presents a sentence, part of which is underlined. Beneath the sentence, you find four ways of phrasing the underlined part. Following the requirements of the standard written English, select the answer that produces the most effective ... of death has the rank of one of the leading causes of death are one of the leading causes of death
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Verbal Aptitude
Mar 28, 2018
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Milicevic3306
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48
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gate2015-ec-1
verbal-ability
passage-reading
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0
answers
7
GATE ECE 2015 Set 1 | GA Question: 7
Read the following paragraph and choose the correct statement. Climate change has reduced human security and threatened human well being. An ignored reality of human progress is that human security largely depends upon ... to environmental security. Human security is contradictory to environmental security. Human progress depends upon environmental security.
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Verbal Aptitude
Mar 28, 2018
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Milicevic3306
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49
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gate2015-ec-1
verbal-ability
passage-reading
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votes
0
answers
8
GATE ECE 2015 Set 1 | GA Question: 8
Fill in the missing value
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Quantitative Aptitude
Mar 28, 2018
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Milicevic3306
15.8k
points
69
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gate2015-ec-1
numerical-answers
analytical-aptitude
logical-reasoning
sequence-series
0
votes
0
answers
9
GATE ECE 2015 Set 1 | GA Question: 9
A cube of side $3$ units is formed using a set of smaller cubes of side $1$ unit. Find the proportion of the number of faces of the smaller cubes visible to those which are NOT visible. $1:4$ $1:3$ $1:2$ $2:3$
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Quantitative Aptitude
Mar 28, 2018
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Milicevic3306
15.8k
points
60
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gate2015-ec-1
numerical-ability
ratio-proportions
0
votes
0
answers
10
GATE ECE 2015 Set 1 | GA Question: 10
Humpty Dumpty sits on a wall every day while having lunch. The wall sometimes breaks. A person sitting in the wall falls if the wall breaks. Which one of the statement below is logically valid and can be inferred from the above sentences? ... lunch Humpty Dumpty never falls during dinner When Humpty Dumpty does not sit on the wall, the wall does not break.
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Verbal Aptitude
Mar 28, 2018
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Milicevic3306
15.8k
points
49
views
gate2015-ec-1
verbal-ability
verbal-reasoning
0
votes
0
answers
11
GATE ECE 2015 Set 1 | Question: 1
Consider a system of linear equations: $x-2y+3z=-1, \\ x-3y+4z=1, \text{ and } \\ -2x+4y-6z=k.$ The value of $k$ for which the system has infinitely many solutions is ___________
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Linear Algebra
Mar 28, 2018
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Milicevic3306
15.8k
points
71
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gate2015-ec-1
numerical-answers
linear-algebra
system-of-equations
0
votes
0
answers
12
GATE ECE 2015 Set 1 | Question: 2
A function $f(x)=1-x^2+x^3$ is defined in the closed interval $[-1,1]$. The value of $x$, in the open interval $(-1,1)$ for which the mean value theorem is satisfied, is $-1/2$ $-1/3$ $1/3$ $1/2$
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Calculus
Mar 28, 2018
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Milicevic3306
15.8k
points
47
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gate2015-ec-1
calculus
mean-value-theorem
0
votes
0
answers
13
GATE ECE 2015 Set 1 | Question: 3
Suppose $A$ and $B$ are two independent events with probabilities $P(A) \neq 0$ and $P(B) \neq 0$. Let $\overline{A}$ and $\overline{B}$ be their complements. Which one of the following statements is FALSE? $P(A \cap B) = P(A)P(B)$ $P(A \mid B) = P(A)$ $P(A \cup B) = P(A) + P(B)$ $P(\overline{A} \cap \overline{B} )= P(\overline{A})P(\overline{B})$
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Probability and Statistics
Mar 28, 2018
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Milicevic3306
15.8k
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52
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gate2015-ec-1
probability-and-statistics
probability
independent-events
0
votes
0
answers
14
GATE ECE 2015 Set 1 | Question: 4
Let $z=x+iy$ be a complex variable. Consider that contour integration is performed along the unit circle in anticlockwise direction. Which one of the following statements is NOT TRUE? The residue of $\frac{z}{z^2-1}$ at $z=1$ is $1/2$ $\oint_C z^2 dz=0$ $\frac{1}{2 \pi i} \oint_C \frac{1}{z} dz =1$ $\overline{z}$ (complex conjugate of $z$ is an analytical function
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Complex Analysis
Mar 28, 2018
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Milicevic3306
15.8k
points
67
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gate2015-ec-1
complex-analysis
analytic-functions
0
votes
0
answers
15
GATE ECE 2015 Set 1 | Question: 5
The value of $p$ such that the vector $\begin{bmatrix} 1 \\ 2 \\ 3 \end{bmatrix}$ is an eigenvector of the matrix $\begin{bmatrix} 4 & 1 & 2 \\ p & 2 & 1 \\ 14 & -4 & 10 \end{bmatrix}$ is _________.
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Linear Algebra
Mar 28, 2018
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Milicevic3306
15.8k
points
50
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gate2015-ec-1
numerical-answers
linear-algebra
matrices
eigen-values
0
votes
0
answers
16
GATE ECE 2015 Set 1 | Question: 6
In the circuit shown, at resonance, the amplitude of the sinusoidal voltage (in Volts) across the capacitor is ____________.
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Network Solution Methods
Mar 28, 2018
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Milicevic3306
15.8k
points
51
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gate2015-ec-1
numerical-answers
network-solution-methods
sinusoidal
0
votes
0
answers
17
GATE ECE 2015 Set 1 | Question: 7
In the network shown in the figure, all resistors are identical with $R = 300 \Omega$. The resistance $R_{ab}$ (in $\Omega$) of the network is __________.
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Network Solution Methods
Mar 28, 2018
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Milicevic3306
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47
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gate2015-ec-1
numerical-answers
network-solution-methods
0
votes
0
answers
18
GATE ECE 2015 Set 1 | Question: 8
In the given circuit, the values of $V_1$ and $V_2$ respectively are $5$ V, $25$ V $10$ V, $30$ V $15$ V, $35$ V $0$ V, $20$ V
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Electronic Devices
Mar 28, 2018
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Milicevic3306
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68
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gate2015-ec-1
electronic-devices
0
votes
0
answers
19
GATE ECE 2015 Set 1 | Question: 9
A region of negative differential resistance is observed in the current voltage characteristics of a silicon PN junction if both the P - region and the N - region are heavily doped the N - region is heavily doped compared to the P - region the P ... doped compared to the N - region an intrinsic silicon region is inserted between the P - region and the N - region
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Electronic Devices
Mar 28, 2018
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Milicevic3306
15.8k
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36
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gate2015-ec-1
electronic-devices
p-n-junction
0
votes
0
answers
20
GATE ECE 2015 Set 1 | Question: 10
A silicon sample is uniformly doped with donor type impurities with a concentration of $10^{16} / cm^3$. The electron and hole mobilities in the sample are $1200 \: cm^2/V-s$ and $400 \: cm^2/V-s$ respectively. Assume complete ionization of impurities. ... an electron is $1.6 \times 10^{-19} \:C$. The resistivity of the sample (in $\Omega - cm$) is ___________.
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Electronic Devices
Mar 28, 2018
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Milicevic3306
15.8k
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36
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gate2015-ec-1
numerical-answers
electronic-devices
silicon
0
votes
0
answers
21
GATE ECE 2015 Set 1 | Question: 11
For the circuit with ideal diodes shown in the figure, the shape of the output $v_{\text{out}}$ for the given sine wave input $v_{\text{in}}$ will be
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Analog Circuits
Mar 28, 2018
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Milicevic3306
15.8k
points
64
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gate2015-ec-1
analog-circuits
diodes
0
votes
0
answers
22
GATE ECE 2015 Set 1 | Question: 12
In the circuit shown below, the Zener diode is ideal and the Zener voltage is $6$ V. The output voltage $V_o$ (in volts) is ________.
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Electronic Devices
Mar 28, 2018
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Milicevic3306
15.8k
points
35
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gate2015-ec-1
numerical-answers
zener-diode
electronic-devices
0
votes
0
answers
23
GATE ECE 2015 Set 1 | Question: 13
In the circuit shown, the switch SW is thrown from position $A$ to position $B$ at time $t=0$. The energy (in $\mu J$) taken from the $3$ V source to charge the $0.1 \: \mu F$ capacitor from $0$ V t $3$ V is $0.3$ $0.45$ $0.9$ $3$
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Electronic Devices
Mar 28, 2018
by
Milicevic3306
15.8k
points
49
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gate2015-ec-1
electronic-devices
0
votes
0
answers
24
GATE ECE 2015 Set 1 | Question: 14
In an 8085 microprocessor, the shift registers which store the result of an addition and the overflow bit are, respectively B and F A and F H and F A and C
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Digital Circuits
Mar 28, 2018
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Milicevic3306
15.8k
points
53
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gate2015-ec-1
digital-circuits
microprocessor-8085
0
votes
0
answers
25
GATE ECE 2015 Set 1 | Question: 15
A $16$ Kb ($=16,384$ bits) memory array is designed as a square with an aspect ratio of one (number of rows is equal to the number of columns). The minimum number of address lines needed for the row decoder is ___________
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Digital Circuits
Mar 28, 2018
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Milicevic3306
15.8k
points
59
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gate2015-ec-1
numerical-answers
digital-circuits
decoders
0
votes
0
answers
26
GATE ECE 2015 Set 1 | Question: 16
Consider a four bit $D$ to $A$ converter. The analog value corresponding to digital signals of values $0000$ and $0001$ are $0$ V and $0.0625$ V respectively. The analog value (in Volts) corresponding to the digital signal $1111$ is _________
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Digital Circuits
Mar 28, 2018
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Milicevic3306
15.8k
points
69
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gate2015-ec-1
numerical-answers
digital-circuits
0
votes
0
answers
27
GATE ECE 2015 Set 1 | Question: 17
The result of the convolution $x(-t) * \delta (-t-t_0)$ is $x(t+t_0)$ $x(t-t_0)$ $x(-t+t_0)$ $x(-t – t_0)$
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Continuous-time Signals
Mar 28, 2018
by
Milicevic3306
15.8k
points
48
views
gate2015-ec-1
continuous-time-signals
signals-and-system
convolution
0
votes
0
answers
28
GATE ECE 2015 Set 1 | Question: 18
The waveform of a periodic signal $x(t)$ is shown in the figure. A signal $g(t)$ is defined by $g(t) = x \big( \frac{t-1}{2} \big)$. The average power of $g(t)$ is ________
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Continuous-time Signals
Mar 28, 2018
by
Milicevic3306
15.8k
points
82
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gate2015-ec-1
numerical-answers
continuous-time-signals
signals-and-system
periodic-signals
0
votes
0
answers
29
GATE ECE 2015 Set 1 | Question: 19
Negative feedback in a closed-loop control system $\textbf{ DOES NOT}$ reduce the overall gain reduce bandwidth improve disturbance rejection reduce sensitivity to parameter variation
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Control Systems
Mar 28, 2018
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Milicevic3306
15.8k
points
56
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gate2015-ec-1
control-systems
feedback-principle
0
votes
0
answers
30
GATE ECE 2015 Set 1 | Question: 20
A unity negative feedback system has the open-loop transfer function $G(s) = \frac{K}{s(s+1)(s+3)}$. The value of the gain $K (>0)$ at which the root locus crosses the imaginary axis is ________
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Control Systems
Mar 28, 2018
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Milicevic3306
15.8k
points
44
views
gate2015-ec-1
numerical-answers
control-systems
bode-and-root-locus-plots
0
votes
0
answers
31
GATE ECE 2015 Set 1 | Question: 21
The polar plot of the transfer function $G(s) = \frac{10(s+1)}{s+10}$ for $0 \leq \omega < \infty$ will be in the first quadrant second quadrant third quadrant fourth quadrant
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Electromagnetics
Mar 28, 2018
by
Milicevic3306
15.8k
points
38
views
gate2015-ec-1
electromagnetics
polarization
0
votes
0
answers
32
GATE ECE 2015 Set 1 | Question: 22
A sinusoidal signal of $2$ kHz frequency is applied to a delta modulator. The sampling rate and step-size $\Delta$ of the data modulator are $20,000$ samples per second and $0.1$ V, respectively. To prevent slope overload, the maximum amplitude of the sinusoidal signal (in Volts) is $\frac{1}{2 \pi} \\$ $\frac{1}{\pi} \\$ $\frac{2}{\pi} \\$ $\pi$
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Network Solution Methods
Mar 28, 2018
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Milicevic3306
15.8k
points
38
views
gate2015-ec-1
network-solution-methods
sinusoidal
0
votes
0
answers
33
GATE ECE 2015 Set 1 | Question: 23
Consider the signal $s(t)=m(t) \cos(2 \pi \: f_ct)+ \hat{m}(t) \sin(2 \pi f_c t)$ where $\hat{m}(t)$ denotes the Hilbert transform of $m(t)$ and the bandwidth of $m(t)$ is very small compared to $f_c$. The signal $s(t)$ is a high-pass signal low-pass signal band-pass signal double sideband suppressed carrier signal
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Continuous-time Signals
Mar 28, 2018
by
Milicevic3306
15.8k
points
73
views
gate2015-ec-1
continuous-time-signals
to-be-tagged
0
votes
0
answers
34
GATE ECE 2015 Set 1 | Question: 24
Consider a straight, infinitely long, current carrying conductor lying on the z-axis. Which one of the following plots (in linear scale) qualitatively represents the dependence of $H_{\phi}$ on $r$, where $H_{\phi}$ is the magnitude of the azimuthal component of magnetic field outside the conductor and $r$ is the radial distance from the conductor?
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Carrier Transport
Mar 28, 2018
by
Milicevic3306
15.8k
points
166
views
gate2015-ec-1
0
votes
0
answers
35
GATE ECE 2015 Set 1 | Question: 25
The electric field component of a plane wave traveling in a lossless dielectric medium is given by $\overrightarrow{E}(z,t) = \hat{a}_y 2 \cos \bigg( 10^st-\frac{z}{\sqrt{2}} \bigg) \: V/m$. The wavelength (in m) for the wave is ___________.
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Electromagnetics
Mar 28, 2018
by
Milicevic3306
15.8k
points
61
views
gate2015-ec-1
numerical-answers
plane-waves-and-properties
electromagnetics
0
votes
0
answers
36
GATE ECE 2015 Set 1 | Question: 25
The solution of the differential equation $\frac{d^2y}{dt^2} + 2 \frac{dy}{dt}+y=0$ with $y(0)=y’(0)=1$ is $(2-t)e^t$ $(1+2t)e^{-t}$ $(2+t)e^{-t}$ $(1-2t)e^t$
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Differential Equations
Mar 28, 2018
by
Milicevic3306
15.8k
points
39
views
gate2015-ec-1
differential-equations
0
votes
0
answers
37
GATE ECE 2015 Set 1 | Question: 25
A vector $\overrightarrow{P}$ is given by $\overrightarrow{P} = x^3y\overrightarrow{a}_x - x^2y^2\overrightarrow{a}_y - x^2 yz \overrightarrow{a}_z$. Which one of the statements is TRUE? $\overrightarrow{P}$ is ... irrotational, but not solenoidal $\overrightarrow{P}$ is neither solenoidal, nor irrotational $\overrightarrow{P}$ is both solenoidal and irrotational
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Vector Analysis
Mar 28, 2018
by
Milicevic3306
15.8k
points
66
views
gate2015-ec-1
vector-analysis
0
votes
0
answers
38
GATE ECE 2015 Set 1 | Question: 28
Which one of the following graphs describes the function $f(x)=e^{-x}(x^2+x+1)$?
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Calculus
Mar 28, 2018
by
Milicevic3306
15.8k
points
57
views
gate2015-ec-1
calculus
functions
0
votes
0
answers
39
GATE ECE 2015 Set 1 | Question: 29
The maximum area (in square units) of a rectangle whose vertices lie on the eclipse $x^2+4y^2=1$ is __________.
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Calculus
Mar 28, 2018
by
Milicevic3306
15.8k
points
54
views
gate2015-ec-1
numerical-answers
calculus
definite-integrals
0
votes
0
answers
40
GATE ECE 2015 Set 1 | Question: 31
In the circuit shown, switch SW is closed at $t=0$. Assuming zero initial conditions, the value of $v_c(t)$ (in Volts) at $t=1$ sec is _________.
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in
Continuous-time Signals
Mar 28, 2018
by
Milicevic3306
15.8k
points
76
views
gate2015-ec-1
numerical-answers
continuous-time-signals
poles-and-zeros
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