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2841
GATE ECE 2012 | Question: 21
The impedance looking into nodes $1$ and $2$ in the given circuit is $50\:\Omega$ $100\:\Omega$ $5\:k\Omega$ $10.1\:k\Omega$
The impedance looking into nodes $1$ and $2$ in the given circuit is$50\:\Omega$$100\:\Omega$$5\:k\Omega$$10.1\:k\Omega$
Milicevic3306
16.0k
points
88
views
Milicevic3306
asked
Mar 25, 2018
Electromagnetics
gate2012-ec
electromagnetics
impedance
+
–
0
votes
0
answers
2842
GATE ECE 2012 | Question: 22
In the circuit shown below, the current through the inductor is $\frac{2}{1+j}\:A$ $\frac{-1}{1+j}\:A$ $\frac{1}{1+j}\:A$ $0\:A$
In the circuit shown below, the current through the inductor is$\frac{2}{1+j}\:A$$\frac{-1}{1+j}\:A$$\frac{1}{1+j}\:A$$0\:A$
Milicevic3306
16.0k
points
130
views
Milicevic3306
asked
Mar 25, 2018
Others
gate2012-ec
to-be-tagged
+
–
0
votes
0
answers
2843
GATE ECE 2012 | Question: 23
Given $f(z)=\frac{1}{z+1}-\frac{2}{z+3}$. If $C$ is a counterclockwise path in the z-plane such that $\mid z+1 \mid=1$, the value of $\frac{1}{2\pi j}\oint_cf(z)dz$ is $-2$ $-1$ $1$ $2$
Given $f(z)=\frac{1}{z+1}-\frac{2}{z+3}$. If $C$ is a counterclockwise path in the z-plane such that $\mid z+1 \mid=1$, the value of $\frac{1}{2\pi j}\oint_cf(z)dz$ is$-2...
Milicevic3306
16.0k
points
104
views
Milicevic3306
asked
Mar 25, 2018
Vector Analysis
gate2012-ec
vector-analysis
+
–
0
votes
0
answers
2844
GATE ECE 2012 | Question: 24
Two independent random variables $X$ and $Y$ are uniformly distributed in the interval $[-1,1]$. The probability that max$[X,Y]$ is less than $\frac{1}{2}$ is $\frac{3}{4}$ $\frac{9}{16}$ $\frac{1}{4}$ $\frac{2}{3}$
Two independent random variables $X$ and $Y$ are uniformly distributed in the interval $[-1,1]$. The probability that max$[X,Y]$ is less than $\frac{1}{2}$ is$\frac{3}{4}...
Milicevic3306
16.0k
points
101
views
Milicevic3306
asked
Mar 25, 2018
Probability and Statistics
gate2012-ec
probability-and-statistics
probability
independent-events
random-variable
+
–
0
votes
0
answers
2845
GATE ECE 2012 | Question: 25
If $x=\sqrt{-1}$, then the value of $x^x$ is $e^{\frac{-\pi}{2}}$ $e^{\frac{\pi}{2}}$ $x$ $1$
If $x=\sqrt{-1}$, then the value of $x^x$ is$e^{\frac{-\pi}{2}}$$e^{\frac{\pi}{2}}$$x$$1$
Milicevic3306
16.0k
points
85
views
Milicevic3306
asked
Mar 25, 2018
Calculus
gate2012-ec
calculus
+
–
0
votes
0
answers
2846
GATE ECE 2012 | Question: 26
The source of a silicon ($n_i=10^{10}\:per\:cm^3$) n-channel MOS transistor has an area of $1\:sq\:\mu m$ and a depth of $1\:\mu m$. If the dopant density in the source is $10^{19}/cm^3$, the number of holes in the source region with the above volume is approximately $10^7$ $100$ $10$ $0$
The source of a silicon ($n_i=10^{10}\:per\:cm^3$) n-channel MOS transistor has an area of $1\:sq\:\mu m$ and a depth of $1\:\mu m$. If the dopant density in the source i...
Milicevic3306
16.0k
points
85
views
Milicevic3306
asked
Mar 25, 2018
Electronic Devices
gate2012-ec
electronic-devices
silicon
+
–
0
votes
0
answers
2847
GATE ECE 2012 | Question: 12
With initial condition $x(1)=0.5$, the solution of the differential equation, $t\frac{dx}{dt}+x=t$ is $x=t-\frac{1}{2}$ $x=t^2-\frac{1}{2}$ $x=\frac{t^2}{2}$ $x=\frac{t}{2}$
With initial condition $x(1)=0.5$, the solution of the differential equation,$$t\frac{dx}{dt}+x=t$$ is$x=t-\frac{1}{2}$$x=t^2-\frac{1}{2}$$x=\frac{t^2}{2}$$x=\frac{t}{2}$...
Milicevic3306
16.0k
points
86
views
Milicevic3306
asked
Mar 25, 2018
Differential Equations
gate2012-ec
differential-equations
+
–
0
votes
0
answers
2848
GATE ECE 2012 | Question: 13
The diodes and capacitors in the circuit shown are ideal. The voltage $v(t)$ across the diode $D1$ is $\cos(\omega t)-1$ $\sin(\omega t)$ $1-\cos(\omega t)$ $1-\sin(\omega t)$
The diodes and capacitors in the circuit shown are ideal. The voltage $v(t)$ across the diode $D1$ is$\cos(\omega t)-1$$\sin(\omega t)$$1-\cos(\omega t)$$1-\sin(\omega t)...
Milicevic3306
16.0k
points
94
views
Milicevic3306
asked
Mar 25, 2018
Analog Circuits
gate2012-ec
analog-circuits
+
–
0
votes
0
answers
2849
GATE ECE 2012 | Question: 14
In the circuit shown $Y=\overline{A} \overline{B}+\bar{C}$ $Y=(A+B)C$ $Y=(\overline{A}+\overline{B})\overline{C}$ $Y=AB+C$
In the circuit shown$Y=\overline{A} \overline{B}+\bar{C}$$Y=(A+B)C$$Y=(\overline{A}+\overline{B})\overline{C}$$Y=AB+C$
Milicevic3306
16.0k
points
83
views
Milicevic3306
asked
Mar 25, 2018
Others
gate2012-ec
to-be-tagged
+
–
0
votes
0
answers
2850
GATE ECE 2012 | Question: 15
A source alphabet consists of $N$ symbols with the probability of the first two symbols being the same. A source encoder increases the probability of the first symbol by a small amount $\varepsilon$ and decreases that of the second by $\varepsilon$. After encoding, the entropy of the source increases remains the same increases only if $N=2$ decreases
A source alphabet consists of $N$ symbols with the probability of the first two symbols being the same. A source encoder increases the probability of the first symbol by ...
Milicevic3306
16.0k
points
172
views
Milicevic3306
asked
Mar 25, 2018
Probability and Statistics
gate2012-ec
probability-and-statistics
probability
+
–
0
votes
0
answers
2851
GATE ECE 2012 | Question: 16
A coaxial cable with an inner diameter of $1\:mm$ and outer diameter of $2.4\:mm$ is filled with a dielectric of relative permittivity $10.89$. Given $\mu_0=4\pi\times10^{-7}\:H/m$, $\varepsilon_0=\frac{10^{-9}}{36\pi}\:F/m$, the characteristic impedance of the cable is $330\:\Omega$ $100\:\Omega$ $143.3\:\Omega$ $43.4\:\Omega$
A coaxial cable with an inner diameter of $1\:mm$ and outer diameter of $2.4\:mm$ is filled with a dielectric of relative permittivity $10.89$. Given $\mu_0=4\pi\times10^...
Milicevic3306
16.0k
points
95
views
Milicevic3306
asked
Mar 25, 2018
Electromagnetics
gate2012-ec
electromagnetics
impedance
+
–
0
votes
0
answers
2852
GATE ECE 2012 | Question: 17
The radiation pattern of an antenna in spherical co-ordinates is given by $F(\theta)=\cos^4\theta\:\:\:;\:\:\:0\le \theta\le \frac{\pi}{2}$ The directivity of the antenna is $10\:dB$ $12.6\:dB$ $11.5\:dB$ $18\:dB$
The radiation pattern of an antenna in spherical co-ordinates is given by$$F(\theta)=\cos^4\theta\:\:\:;\:\:\:0\le \theta\le \frac{\pi}{2}$$The directivity of the antenna...
Milicevic3306
16.0k
points
75
views
Milicevic3306
asked
Mar 25, 2018
Electromagnetics
gate2012-ec
electromagnetics
antennas
+
–
0
votes
0
answers
2853
GATE ECE 2012 | Question: 18
If $x[n]=(\frac{1}{3})^{|n|}-(\frac{1}{2})^{|n|}u[n]$, then the region of convergence (ROC) of its Z-transform in the Z-plane will be $\frac{1}{3}\lt |z|\lt 3$ $\frac{1}{3}\lt |z|\lt \frac{1}{2}$ $\frac{1}{2}\lt |z|\lt 3$ $\frac{1}{3}\lt |z|$
If $x[n]=(\frac{1}{3})^{|n|}-(\frac{1}{2})^{|n|}u[n]$, then the region of convergence (ROC) of its Z-transform in the Z-plane will be$\frac{1}{3}\lt |z|\lt 3$$\frac{1}{3}...
Milicevic3306
16.0k
points
105
views
Milicevic3306
asked
Mar 25, 2018
Numerical Methods
gate2012-ec
numerical-methods
convergence-criteria
+
–
1
votes
0
answers
2854
GATE ECE 2012 | Question: 19
In the sum of products function $f(X,Y,Z)=\sum(2,3,4,5)$, the prime implicants are $\overline{X}Y,X\overline{Y}$ $\overline{X}Y,X\overline{Y}\;\overline{Z},X\overline{Y}Z$ $\overline{X}Y\overline{Z},\overline{X}YZ,X\overline{Y}$ $\overline{X}Y\overline{Z},\overline{X}YZ,X\overline{Y}\;\overline{Z},X\overline{Y}Z$
In the sum of products function $f(X,Y,Z)=\sum(2,3,4,5)$, the prime implicants are$\overline{X}Y,X\overline{Y}$$\overline{X}Y,X\overline{Y}\;\overline{Z},X\overline{Y}Z$$...
Milicevic3306
16.0k
points
155
views
Milicevic3306
asked
Mar 25, 2018
Number Representations
gate2012-ec
digital-circuits
boolean-algebra
+
–
0
votes
0
answers
2855
GATE ECE 2012 | Question: 5
The electric field of a uniform plane electromagnetic wave in free space, along the positive $x$ direction, is given by $\overrightarrow{E}=10(\hat{a}_y+j\hat{a}_z)e^{-j\:25x}$. The frequency and polarization of the wave, respectively, are $1.2\:GHz$ and left circular $4\:Hz$ and left circular $1.2\:GHz$ and right circular $4\:Hz$ and right circular
The electric field of a uniform plane electromagnetic wave in free space, along the positive $x$ direction, is given by $\overrightarrow{E}=10(\hat{a}_y+j\hat{a}_z)e^{-j\...
Milicevic3306
16.0k
points
156
views
Milicevic3306
asked
Mar 25, 2018
Electromagnetics
gate2012-ec
electromagnetics
+
–
0
votes
0
answers
2856
GATE ECE 2012 | Question: 6
Consider the given circuit. In the circuit, the race around does not occur occurs when $\text{CLK}=0$ occurs when $\text{CLK}=1$ and $A=B=1$ occurs when $\text{CLK}=1$ and $A=B=0$
Consider the given circuit.In the circuit, the race arounddoes not occuroccurs when $\text{CLK}=0$occurs when $\text{CLK}=1$ and $A=B=1$occurs when $\text{CLK}=1$ and $A=...
Milicevic3306
16.0k
points
150
views
Milicevic3306
asked
Mar 25, 2018
Number Representations
gate2012-ec
digital-circuits
sequential-circuit
flip-flop
+
–
0
votes
0
answers
2857
GATE ECE 2012 | Question: 7
The output $Y$ of a $2-\text{bit}$ comparator is logic $1$ whenever the $2-\text{bit}$ input $A$ is greater than the $2-\text{bit}$ input $B$. The number of combinations for which the output is logic $1$, is $4$ $6$ $8$ $10$
The output $Y$ of a $2-\text{bit}$ comparator is logic $1$ whenever the $2-\text{bit}$ input $A$ is greater than the $2-\text{bit}$ input $B$. The number of combinations ...
Milicevic3306
16.0k
points
80
views
Milicevic3306
asked
Mar 25, 2018
Digital Circuits
gate2012-ec
digital-circuits
+
–
0
votes
0
answers
2858
GATE ECE 2012 | Question: 8
The $i-v$ characteristics of the diode in the circuit given below are $i = \begin{cases} \frac{v-0.07}{500}\:A, & v\ge0.7\:V \\ \:\:\:\:\:\:\:\:0\:A, & v \lt 0.7\:V \end{cases}$ The current in the circuit is $10\:mA$ $9.3\:mA$ $6.67\:mA$ $6.2\:mA$
The $i-v$ characteristics of the diode in the circuit given below are$$i = \begin{cases} \frac{v-0.07}{500}\:A, & v\ge0.7\:V \\ \:\:\:\:\:\:\:\:0\:A, & v \lt 0.7\:V \en...
Milicevic3306
16.0k
points
118
views
Milicevic3306
asked
Mar 25, 2018
Electronic Devices
gate2012-ec
electronic-devices
carrier-transport
+
–
0
votes
0
answers
2859
GATE ECE 2012 | Question: 9
In the following figure, $C_1$ and $C_2$ are ideal capacitors. $C_1$ has been charged to $12\:V$ before the ideal switch $S$ is closed at $t=0$. The current $i(t)$ for all $t$ is zero a step function an exponentially decaying function an impulse function
In the following figure, $C_1$ and $C_2$ are ideal capacitors. $C_1$ has been charged to $12\:V$ before the ideal switch $S$ is closed at $t=0$. The current $i(t)$ for al...
Milicevic3306
16.0k
points
107
views
Milicevic3306
asked
Mar 25, 2018
Electronic Devices
gate2012-ec
electronic-devices
+
–
0
votes
0
answers
2860
GATE ECE 2012 | Question: 10
The average power delivered to an impedance $(4-j3)\:\Omega$ by a current $5\cos(100\pi t+100)\:A$ is $44.2\:W$ $50\:W$ $62.5\:W$ $125\:W$
The average power delivered to an impedance $(4-j3)\:\Omega$ by a current $5\cos(100\pi t+100)\:A$ is$44.2\:W$$50\:W$$62.5\:W$$125\:W$
Milicevic3306
16.0k
points
70
views
Milicevic3306
asked
Mar 25, 2018
Electromagnetics
gate2012-ec
electromagnetics
impedance
+
–
0
votes
0
answers
2861
GATE ECE 2012 | Question: 11
The unilateral Laplace transform of $f(t)$ is $\frac{1}{s^2+s+1}$. The unilateral Laplace transform of $tf(t)$ is $-\frac{s}{(s^2+s+1)^2}$ $-\frac{2s+1}{(s^2+s+1)^2}$ $\frac{s}{(s^2+s+1)^2}$ $\frac{2s+1}{(s^2+s+1)^2}$
The unilateral Laplace transform of $f(t)$ is $\frac{1}{s^2+s+1}$. The unilateral Laplace transform of $tf(t)$ is$-\frac{s}{(s^2+s+1)^2}$$-\frac{2s+1}{(s^2+s+1)^2}$$\frac...
Milicevic3306
16.0k
points
138
views
Milicevic3306
asked
Mar 25, 2018
Network Solution Methods
gate2012-ec
network-solution-methods
laplace-transform
+
–
0
votes
0
answers
2862
GATE ECE 2012 | Question: 2
The power spectral density of a real process $X(t)$ for positive frequencies is shown below. The values of $E[X^2(t)]$ and $ \mid E[X(t)] \mid$, respectively, are $\frac{6000}{\pi}\:,\:0$ $\frac{6400}{\pi}\:,\:0$ $\frac{6400}{\pi}\:,\:\frac{20}{(\pi\sqrt2)}$ $\frac{6000}{\pi}\:,\:\frac{20}{(\pi\sqrt2)}$
The power spectral density of a real process $X(t)$ for positive frequencies is shown below. The values of $E[X^2(t)]$ and $ \mid E[X(t)] \mid$, respectively, are$\frac{6...
Milicevic3306
16.0k
points
110
views
Milicevic3306
asked
Mar 25, 2018
Communications
gate2012-ec
communications
autocorrelation-and-power-spectral-density
+
–
0
votes
0
answers
2863
GATE ECE 2012 | Question: 3
In a baseband communications link, frequencies upto $3500\:Hz$ are used for signaling. Using a raised cosine pulse with $75\%$ excess bandwidth and for no inter-symbol interference, the maximum possible signaling rate in the symbols per second is $1750$ $2625$ $4000$ $5250$
In a baseband communications link, frequencies upto $3500\:Hz$ are used for signaling. Using a raised cosine pulse with $75\%$ excess bandwidth and for no inter-symbol in...
Milicevic3306
16.0k
points
88
views
Milicevic3306
asked
Mar 25, 2018
Communications
gate2012-ec
communications
calculation-of-bandwidth
+
–
0
votes
0
answers
2864
GATE ECE 2012 | Question: 4
A plane wave propagating in air with $\overrightarrow{E}=(8\hat{a}_x+6\hat{a}_y+5\hat{a}_z)e^{j(\omega t+3x-4y)}\:V/m$ is incident on a perfectly conducting slab positioned at $x\le0$ . The $\overrightarrow{E}$ ... $(-8\hat{a}_x+6\hat{a}_y-5\hat{a}_z)e^{j(\omega t-3x-4y)}\:V/m$
A plane wave propagating in air with $\overrightarrow{E}=(8\hat{a}_x+6\hat{a}_y+5\hat{a}_z)e^{j(\omega t+3x-4y)}\:V/m$ is incident on a perfectly conducting slab position...
Milicevic3306
16.0k
points
128
views
Milicevic3306
asked
Mar 25, 2018
Electromagnetics
gate2012-ec
electromagnetics
propagation
+
–
0
votes
0
answers
2865
GATE ECE 2012 | Question: 1
The current $i_b$ through the base of a silicon $npn$ transistor is $1+0.1\cos(10000\pi t)\:mA$. At $300\:K$, the $r_\pi$ in the small signal model of the transistor is $250\:\Omega$ $27.5\:\Omega$ $25\:\Omega$ $22.5\:\Omega$
The current $i_b$ through the base of a silicon $npn$ transistor is $1+0.1\cos(10000\pi t)\:mA$. At $300\:K$, the $r_\pi$ in the small signal model of the transistor is$2...
Milicevic3306
16.0k
points
106
views
Milicevic3306
asked
Mar 25, 2018
Electronic Devices
gate2012-ec
electronic-devices
intrinsic-and-extrinsic-silicon
+
–
0
votes
1
answer
2866
GATE ECE 2018 | GA Question: 5
A $1.5$ m tall person is standing at a distance of $3$ m from a lamp post. The light from the lamp at the top of the post casts her shadow. The length of the shadow is twice her height. What is the height of the lamp post in meters? $1.5$ $3$ $4.5$ $6$
A $1.5$ m tall person is standing at a distance of $3$ m from a lamp post. The light from the lamp at the top of the post casts her shadow. The length of the shadow is tw...
gatecse
1.6k
points
271
views
gatecse
asked
Feb 19, 2018
Quantitative Aptitude
gate2018-ec
numerical-ability
geometry
+
–
0
votes
1
answer
2867
GATE ECE 2018 | GA Question: 6
Leila aspires to buy a car worth Rs.$10,00,000$ after $5$ years. What is the minimum amount in Rupees that she should deposit now in a bank which offers $10\%$ annual rate of interest, if the interest was compounded annually? $5,00,000$ $6,21,000$ $6,66,667$ $7,50,000$
Leila aspires to buy a car worth Rs.$10,00,000$ after $5$ years. What is the minimum amount in Rupees that she should deposit now in a bank which offers $10\%$ annual ra...
gatecse
1.6k
points
246
views
gatecse
asked
Feb 19, 2018
Quantitative Aptitude
gate2018-ec
numerical-ability
compound-interest
+
–
0
votes
1
answer
2868
GATE ECE 2018 | GA Question: 7
Two alloys $A$ and $B$ contain gold and copper in the ratios of $2:3$ and $3: 7$ by mass, respectively. Equal masses of alloys $A$ and $B$ are melted to make an alloy $C.$ The ratio of gold to copper in alloy $C$ is$:$ $5:10$ $7:13$ $6:11$ $9:13$
Two alloys $A$ and $B$ contain gold and copper in the ratios of $2:3$ and $3: 7$ by mass, respectively. Equal masses of alloys $A$ and $B$ are melted to make an alloy $C....
gatecse
1.6k
points
199
views
gatecse
asked
Feb 19, 2018
Quantitative Aptitude
gate2018-ec
numerical-ability
ratio-proportions
+
–
0
votes
1
answer
2869
GATE ECE 2018 | GA Question: 8
The Cricket Board has long recognized John's potential as a leader of the team. However, his on-field temper has always been a matter of concern for them since his junior days. While this aggression has filled stadia with die-hard fans. it has taken a toll on his own batting. ... ii) and (iii) only (iii) and (iv) only (ii) and (iv) only (i), (ii), (iii) and (iv)
The Cricket Board has long recognized John's potential as a leader of the team. However, his on-field temper has always been a matter of concern for them since his junior...
gatecse
1.6k
points
223
views
gatecse
asked
Feb 19, 2018
Verbal Aptitude
gate2018-ec
verbal-ability
verbal-reasoning
passage-reading
+
–
0
votes
5
answers
2870
GATE ECE 2018 | GA Question: 10
A coastal region with unparalleled beauty is home to many species of animals. It is dotted with coral reefs and unspoilt white sandy beaches. It has remained inaccessible to tourists due to poor connectivity and lack of accommodation. A ... on the decline and could soon vanish. Helicopter connectivity would lead to an increase in tourists coming to the region.
A coastal region with unparalleled beauty is home to many species of animals. It is dotted with coral reefs and unspoilt white sandy beaches. It has remained inaccessible...
gatecse
1.6k
points
1.2k
views
gatecse
asked
Feb 19, 2018
Verbal Aptitude
gate2018-ec
verbal-ability
verbal-reasoning
passage-reading
+
–
0
votes
1
answer
2871
GATE ECE 2018 | GA Question: 1
“By giving him the last _______ of the cake, you will ensure lasting _______ in our house today.” The words that best fill the blanks in the above sentence are peas, piece piece, peace peace, piece peace, peas
“By giving him the last _______ of the cake, you will ensure lasting _______ in our house today.”The words that best fill the blanks in the above sentence arepeas, pi...
gatecse
1.6k
points
175
views
gatecse
asked
Feb 19, 2018
Verbal Aptitude
gate2018-ec
verbal-ability
most-appropriate-word
+
–
0
votes
1
answer
2872
GATE ECE 2018 | GA Question: 2
“Even though there is a vast scope for its _______, tourism has remained a/an ________ area.” The word that best fill the blanks in the above sentence are improvement, neglected rejection, approved fame, glum interest, disinterested
“Even though there is a vast scope for its _______, tourism has remained a/an ________ area.”The word that best fill the blanks in the above sentence are improvement,...
gatecse
1.6k
points
194
views
gatecse
asked
Feb 19, 2018
Verbal Aptitude
gate2018-ec
verbal-ability
most-appropriate-word
+
–
0
votes
1
answer
2873
GATE ECE 2018 | GA Question: 3
If the number $715\blacksquare423$ is divisible by $3(\blacksquare$ denotes the missing digit in the thousandths place$),$ then the smallest whole number in the place of $\blacksquare$ is _________. $0$ $2$ $5$ $6$
If the number $715\blacksquare423$ is divisible by $3(\blacksquare$ denotes the missing digit in the thousandths place$),$ then the smallest whole number in the place of...
gatecse
1.6k
points
177
views
gatecse
asked
Feb 19, 2018
Quantitative Aptitude
gate2018-ec
numerical-ability
number-system
+
–
0
votes
0
answers
2874
GATE ECE 2018 | Question: 55
Let $X\left[ k \right ] = k + 1,0\leq k\leq 7$ be $8$-point $\:\text{DFT}\:$ of a sequence $x[n]$. where $X\left [ k \right ]=\sum_{n=0}^{N-1}x \left [ n \right ]e^{-j2\pi nk/N}$. The value (correct to two decimal places) of $\sum_{n=0}^{3}x \left [ 2n \right ]$ is ________.
Let $X\left[ k \right ] = k + 1,0\leq k\leq 7$ be $8$-point $\:\text{DFT}\:$ of a sequence $x[n]$.where $X\left [ k \right ]=\sum_{n=0}^{N-1}x \left [ n \right ]e^{-j2\pi...
gatecse
1.6k
points
113
views
gatecse
asked
Feb 19, 2018
Calculus
gate2018-ec
numerical-answers
calculus
+
–
0
votes
0
answers
2875
GATE ECE 2018 | Question: 46
In the circuit shown below, a positive edge-triggered $D$ Flip-Flop is used for sampling input data $D_{in}$ using clock $CK$. The XOR gate output $3.3$ volts for logic HIGH and $0$ volts for logic LOW levels. The data bit and clock periods are ... period is $0.3$, the average value (in volts, accurate to two decimal places) of the voltage at node $X$, is _________.
In the circuit shown below, a positive edge-triggered $D$ Flip-Flop is used for sampling input data $D_{in}$ using clock $CK$. The XOR gate output $3.3$ volts for logic H...
gatecse
1.6k
points
235
views
gatecse
asked
Feb 19, 2018
Number Representations
gate2018-ec
numerical-answers
digital-circuits
sequential-circuit
flip-flops
+
–
0
votes
0
answers
2876
GATE ECE 2018 | Question: 47
The logic gates shown in the digital circuit below use strong pull-down $\text{nMOS}$ transistors for LOW logic level at the outputs. When the pull-downs are off, high-value resistors set the output logic levels to HIGH (i.e. the pull-ups are weak). Note that some nodes ... values of $X_{3}X_{2}X_{1}X_{0}$ (out of the $16$ possible values) that give $Y=1$ is ________.
The logic gates shown in the digital circuit below use strong pull-down $\text{nMOS}$ transistors for LOW logic level at the outputs. When the pull-downs are off, high-va...
gatecse
1.6k
points
249
views
gatecse
asked
Feb 19, 2018
Number Representations
gate2018-ec
numerical-answers
digital-circuits
combinational-circuits
logic-gates
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–
0
votes
1
answer
2877
GATE ECE 2018 | Question: 48
The cutoff frequency of $TE_{01}$ mode of an air filled rectangular waveguide having inner dimensions $a\:\text{cm} \: \times \: b\: \text{cm}\:\left ( a> b \right )$ is twice that of the dominant $TE_{10}$ mode. When the waveguide is operated ... the guide wavelength is found to be $4\:\text{cm}$. The value of $b$ (in cm, correct to two decimal places) is ________.
The cutoff frequency of $TE_{01}$ mode of an air filled rectangular waveguide having inner dimensions $a\:\text{cm} \: \times \: b\: \text{cm}\:\left ( a b \right )$ is t...
gatecse
1.6k
points
183
views
gatecse
asked
Feb 19, 2018
Electromagnetics
gate2018-ec
numerical-answers
electromagnetics
waveguides
+
–
0
votes
0
answers
2878
GATE ECE 2018 | Question: 49
A uniform plane wave traveling in free space and having the electric field ... ) as shown in the figure and there is no reflected wave. The relative permittivity (correct to two decimal places) of the dielectric medium is __________.
A uniform plane wave traveling in free space and having the electric field$$\overrightarrow{E} =\left ( \sqrt{2}\:\hat{a}_{x} -\hat{a}_{z}\right )cos\left [ 6\sqrt{3}\: \...
gatecse
1.6k
points
198
views
gatecse
asked
Feb 19, 2018
Electromagnetics
gate2018-ec
numerical-answers
electromagnetics
plane-waves-and-properties
+
–
0
votes
0
answers
2879
GATE ECE 2018 | Question: 50
The position of a particle $y\left ( t \right )$ is described by the differential equation: $\frac{d^{2}y}{dt^{2}}=-\frac{dy}{dt}-\frac{5y}{4}.$ The initial conditions are $y\left ( 0 \right )=1$ and $\frac{dy}{dt}\mid_{t=0}=0$. The position (accurate to two decimal places) of the particle at $t=\pi$ is _________.
The position of a particle $y\left ( t \right )$ is described by the differential equation:$$\frac{d^{2}y}{dt^{2}}=-\frac{dy}{dt}-\frac{5y}{4}.$$The initial conditions ar...
gatecse
1.6k
points
121
views
gatecse
asked
Feb 19, 2018
Differential Equations
gate2018-ec
numerical-answers
differential-equations
second-order-differential-equation
+
–
0
votes
0
answers
2880
GATE ECE 2018 | Question: 51
The contour $C$ given below is on the complex plane $z=x+j y,$ where $j=\sqrt{-1}.$ The value of the integral $\displaystyle{}\dfrac{1}{\pi j}\oint _{C}\dfrac{dz}{z^{2}-1}$ is _______.
The contour $C$ given below is on the complex plane $z=x+j y,$ where $j=\sqrt{-1}.$ The value of the integral $\disp...
gatecse
1.6k
points
413
views
gatecse
asked
Feb 19, 2018
Complex Analysis
gate2018-ec
numerical-answers
complex-analysis
+
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