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41
GATE ECE 2011 | Question: 38
A transmission line of characteristic impedance $50 \; \Omega$ is terminated in a load impedance $\text{Z}_\text{L} .$ The $\text{VSWR}$ of the line is measured as $5$ and the first of the voltage maxima in the line is observed at a distance of $\lambda / 4$ from the load. The ... is $10 \; \Omega$ $250 \; \Omega$ $(19.23+j 46.15) \; \Omega$ $(19.23-j 46.15) \; \Omega$
A transmission line of characteristic impedance $50 \; \Omega$ is terminated in a load impedance $\text{Z}_\text{L} .$ The $\text{VSWR}$ of the line is measured as $5$ an...
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GATE ECE 2011 | Question: 40
The output of a $3$-stage Johnson (twisted-ring) counter is fed to a digital-to-analog (D/A) converter as shown in the figure below. Assume all states of the counter to be unset initially. The waveform which represents the D/A converter output $\mathrm{V}_{\mathrm{o}}$ is
The output of a $3$-stage Johnson (twisted-ring) counter is fed to a digital-to-analog (D/A) converter as shown in the figure below. Assume all states of the counter to b...
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Sep 3, 2022
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GATE ECE 2011 | Question: 41
Two $\text{D}$ flip-flops are connected as a synchronous counter that goes through the following $\mathrm{Q}_{\text{B}} \;\mathrm{Q}_{\mathrm{A}}$ sequence $00 \rightarrow 11 \rightarrow 01 \rightarrow 10 \rightarrow 00 \rightarrow \cdots$ The connections to the ...
Two $\text{D}$ flip-flops are connected as a synchronous counter that goes through the following $\mathrm{Q}_{\text{B}} \;\mathrm{Q}_{\mathrm{A}}$ sequence $00 \rightarro...
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46.4k
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Sequential Circuits
gate2011-ec
digital-circuits
sequential-circuit
flip-flop
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GATE ECE 2011 | Question: 42
In the circuit shown below, for the $\text{MOS}$ transistors, $\mu_{\mathrm{n}} \mathrm{C}_{\mathrm{ox}}=100 \; \mu \mathrm{A} / \mathrm{V}^2$ and the threshold voltage $\mathrm{V}_{\mathrm{T}}=1 \mathrm{~V}$. The voltage $\mathrm{V}_{\mathrm{x}}$ at the source of the upper transistor is $1 \mathrm{~V}$ $2 \mathrm{~V}$ $3 \mathrm{~V}$ $3.67 \mathrm{~V}$
In the circuit shown below, for the $\text{MOS}$ transistors, $\mu_{\mathrm{n}} \mathrm{C}_{\mathrm{ox}}=100 \; \mu \mathrm{A} / \mathrm{V}^2$ and the threshold voltage $...
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46.4k
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Sep 3, 2022
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GATE ECE 2011 | Question: 45
If $F(s)=L[f(t)]=\dfrac{2(s+1)}{s^2+4 s+7}$ then the initial and final values of $f(t)$ are respectively $0,2$ $2,0$ $0, 2 / 7$ $2 / 7,0$
If $F(s)=L[f(t)]=\dfrac{2(s+1)}{s^2+4 s+7}$ then the initial and final values of $f(t)$ are respectively$0,2$$2,0$$0, 2 / 7$$2 / 7,0$
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Sep 3, 2022
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GATE ECE 2011 | Question: 46
In the circuit shown below, the current $\text{I}$ is equal to $1.4 \angle 0^{\circ} \; \mathrm{A}$ $2.0 \angle 0^{\circ} \; \mathrm{A}$ $2.8 \angle 0^{\circ} \; \mathrm{A}$ $3.2 \angle 0^{\circ} \; \mathrm{A}$
In the circuit shown below, the current $\text{I}$ is equal to$1.4 \angle 0^{\circ} \; \mathrm{A}$$2.0 \angle 0^{\circ} \; \mathrm{A}$$2.8 \angle 0^{\circ} \; \mathrm{A}$...
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Sep 3, 2022
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GATE ECE 2011 | Question: 47
A numerical solution of the equation $f(x)=x+\sqrt{x}-3=0$ can be obtained using Newton-Raphson method. If the starting value is $x=2$ for the iteration, the value of $x$ that is to be used in the next step is $0.306$ $0.739$ $1.694$ $2.306$
A numerical solution of the equation $f(x)=x+\sqrt{x}-3=0$ can be obtained using Newton-Raphson method. If the starting value is $x=2$ for the iteration, the value of $x$...
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46.4k
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Sep 3, 2022
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48
GATE ECE 2011 | Question: 48
The channel resistance of an $\text{N}$-channel $\text{JFET}$ shown in the figure below is $600 \; \Omega$ when the full channel thickness $\left(\mathrm{t}_{\mathrm{ch}}\right)$ of $10 \; \mu \mathrm{m}$ ... $480 \; \Omega$ $600 \; \Omega$ $750 \; \Omega$ $1000 \; \Omega$
The channel resistance of an $\text{N}$-channel $\text{JFET}$ shown in the figure below is $600 \; \Omega$ when the full channel thickness $\left(\mathrm{t}_{\mathrm{ch}}...
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Sep 3, 2022
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GATE ECE 2011 | Question: 49
The channel resistance of an $\text{N}$-channel $\text{JFET}$ shown in the figure below is $600 \; \Omega$ when the full channel thickness $\left(\mathrm{t}_{\mathrm{ch}}\right)$ of $10 \; \mu \mathrm{m}$ is available for conduction. The built-in voltage of the gate ... $360 \; \Omega$ $917 \; \Omega$ $1000 \; \Omega$ $3000 \; \Omega$
The channel resistance of an $\text{N}$-channel $\text{JFET}$ shown in the figure below is $600 \; \Omega$ when the full channel thickness $\left(\mathrm{t}_{\mathrm{ch}}...
admin
46.4k
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Sep 3, 2022
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GATE ECE 2011 | Question: 50
The input-output transfer function of a plant $H(s)=\frac{100}{s(s+10)^2}$. The plant is placed in a unity negative feedback configuration as shown in the figure below. The signal flow graph that DOES NOT model the plant $\operatorname{transfer~function~} H(s)$ is
The input-output transfer function of a plant $H(s)=\frac{100}{s(s+10)^2}$. The plant is placed in a unity negative feedback configuration as shown in the figure below.Th...
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Sep 3, 2022
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51
GATE ECE 2011 | Question: 51
The input-output transfer function of a plant $H(s)=\frac{100}{s(s+10)^2}$. The plant is placed in a unity negative feedback configuration as shown in the figure below. The gain margin of the system under closed loop unity negative feedback is $0 \mathrm{~dB}$ $20 \mathrm{~dB}$ $26 \mathrm{~dB}$ $46 \mathrm{~dB}$
The input-output transfer function of a plant $H(s)=\frac{100}{s(s+10)^2}$. The plant is placed in a unity negative feedback configuration as shown in the figure below.Th...
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46.4k
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Sep 3, 2022
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GATE ECE 2011 | Question: 52
A four-phase and an eight-phase signal constellation are shown in the figure below. For the constraint that the minimum distance between pairs of signal points be $d$ for both constellations, the radii $r_1$ and $r_2$ of the circles are $r_1=0.707 d, \; r_2=2.782 d$ $r_1=0.707 d, \; r_2=1.932 d$ $r_1=0.707 d, \; r_2=1.545 d$ $r_1=0.707 d, \; r_2=1.307 d$
A four-phase and an eight-phase signal constellation are shown in the figure below.For the constraint that the minimum distance between pairs of signal points be $d$ for ...
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GATE ECE 2011 | Question: 53
A four-phase and an eight-phase signal constellation are shown in the figure below. Assuming high $\text{SNR}$ and that all signals are equally probable, the additional average transmitted signal energy required by the $8$-$\text{PSK}$ signal to achieve the same error probability as ... $11.90 \mathrm{~dB}$ $8.73 \mathrm{~dB}$ $6.79 \mathrm{~dB}$ $5.33 \mathrm{~dB}$
A four-phase and an eight-phase signal constellation are shown in the figure below. Assuming high $\text{SNR}$ and that all signals are equally probable, the additional a...
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Sep 3, 2022
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GATE ECE 2011 | Question: 54
In the circuit shown below, assume that the voltage drop across a forward biased diode is $0.7 \mathrm{~V}$. The thermal voltage $\mathrm{V}_{\mathrm{t}}=\mathrm{kT} / \mathrm{q}=25 \mathrm{mV}$ ... $1 \mathrm{~mA}$ $1.28 \mathrm{~mA}$ $1.5 \mathrm{~mA}$ $2 \mathrm{~mA}$
In the circuit shown below, assume that the voltage drop across a forward biased diode is $0.7 \mathrm{~V}$. The thermal voltage $\mathrm{V}_{\mathrm{t}}=\mathrm{kT} / \m...
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Sep 3, 2022
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GATE ECE 2011 | Question: 55
In the circuit shown below, assume that the voltage drop across a forward biased diode is $0.7 \mathrm{~V}$. The thermal voltage $\mathrm{V}_{\mathrm{t}}=\mathrm{kT} / \mathrm{q}=25 \mathrm{mV}$ ... $2 \cos (\omega \mathrm{t}) \; \mathrm{mV}$ $22 \cos (\omega \mathrm{t}) \; \mathrm{mV}$
In the circuit shown below, assume that the voltage drop across a forward biased diode is $0.7 \mathrm{~V}$. The thermal voltage $\mathrm{V}_{\mathrm{t}}=\mathrm{kT} / \m...
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46.4k
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GATE ECE 2011 | Question: 56
The question below consists of a pair of related words followed by four pairs of words. Select the pair that best expresses the relation in the original pair: Gladiator : Arena dancer : stage commuter : train teacher : classroom lawyer : courtroom
The question below consists of a pair of related words followed by four pairs of words. Select the pair that best expresses the relation in the original pair:Gladiator : ...
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46.4k
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Sep 3, 2022
Verbal Aptitude
gate2011-ec
verbal-aptitude
word-pairs
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GATE ECE 2011 | Question: 57
There are two candidates $\mathrm{P}$ and $\mathrm{Q}$ in an election. During the campaign, $40 \%$ of the voters promised to vote for $\mathrm{P}$, and rest for $\text{Q}$. However, on the day of election $15 \%$ of the voters went back on their promise ... $\mathrm{P}$ lost by $2$ votes, then what was the total number of voters? $100$ $110$ $90$ $95$
There are two candidates $\mathrm{P}$ and $\mathrm{Q}$ in an election. During the campaign, $40 \%$ of the voters promised to vote for $\mathrm{P}$, and rest for $\text{Q...
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46.4k
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Sep 3, 2022
Quantitative Aptitude
gate2011-ec
quantitative-aptitude
percentage
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GATE ECE 2011 | Question: 58
Choose the most appropriate word from the options given below to complete the following sentence: It was her view that the country's problems had been__________________ by foreign technocrats, so that to invite them to come back would be counter-productive. identified ascertained exacerbated analysed
Choose the most appropriate word from the options given below to complete the following sentence:It was her view that the country's problems had been__________________ by...
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46.4k
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Sep 3, 2022
Verbal Aptitude
gate2011-ec
verbal-aptitude
most-appropriate-word
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GATE ECE 2011 | Question: 59
Choose the word from the options given below that is most nearly opposite in meaning to the given word: Frequency periodicity rarity gradualness persistency
Choose the word from the options given below that is most nearly opposite in meaning to the given word:Frequencyperiodicityraritygradualnesspersistency
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46.4k
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Sep 3, 2022
Verbal Aptitude
gate2011-ec
verbal-aptitude
most-appropriate-word
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GATE ECE 2011 | Question: 60
Choose the most appropriate word from the options given below to complete the following sentence: Under ethical guidelines recently adopted by the Indian Medical Association, human genes are to be manipulated only to correct diseases for which_________________ treatments are unsatisfactory. similar most uncommon available
Choose the most appropriate word from the options given below to complete the following sentence:Under ethical guidelines recently adopted by the Indian Medical Associati...
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46.4k
points
45
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Sep 3, 2022
Verbal Aptitude
gate2011-ec
verbal-aptitude
most-appropriate-word
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GATE ECE 2011 | Question: 61
The horse has played a little known but very important role in the field of medicine. Horses were injected with toxins of diseases until their blood built up immunities. Then a serum was made from their blood. Serums to fight ... horses were given immunity to diseases generally quite immune to diseases given medicines to fight toxins given diphtheria and tetanus serums
The horse has played a little known but very important role in the field of medicine. Horses were injected with toxins of diseases until their blood built up immunities. ...
admin
46.4k
points
70
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admin
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Sep 3, 2022
Verbal Aptitude
gate2011-ec
verbal-aptitude
verbal-reasoning
passage-reading
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GATE ECE 2011 | Question: 62
The fuel consumed by a motorcycle during a journey while traveling at various speeds is indicated in the graph below. The distances covered during four laps of the journey are listed in the table below ... the fuel consumed per kilometre was least during the lap $\mathrm{P}$ $\mathrm{Q}$ $\mathrm{R}$ $\mathrm{S}$
The fuel consumed by a motorcycle during a journey while traveling at various speeds is indicated in the graph below.The distances covered during four laps of the journey...
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46.4k
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Sep 3, 2022
Quantitative Aptitude
gate2011-ec
quantitative-aptitude
speed-time-distance
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GATE ECE 2011 | Question: 63
Three friends, $\mathrm{R}, \mathrm{S}$ and $\mathrm{T}$ shared toffee from a bowl. $\mathrm{R}$ took $1 / 3^{\text {rd }}$ of the toffees, but returned four to the bowl. $\text{S}$ took $1 / 4^{\text {th }}$ of what was left but ... two back into the bowl. If the bowl had $17$ toffees left, how many toffees were originally there in the bowl? $38$ $31$ $48$ $41$
Three friends, $\mathrm{R}, \mathrm{S}$ and $\mathrm{T}$ shared toffee from a bowl. $\mathrm{R}$ took $1 / 3^{\text {rd }}$ of the toffees, but returned four to the bowl....
admin
46.4k
points
58
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admin
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Sep 3, 2022
Quantitative Aptitude
gate2011-ec
quantitative-aptitude
number-system
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GATE ECE 2011 | Question: 64
Given that $\mathrm{f(y})=|\mathrm{y}| / \mathrm{y},$ and $\mathrm{q}$ is any non-zero real number, the value of $|\mathrm{f}(\mathrm{q})-\mathrm{f}(-\mathrm{q})|$ is $0$ $-1$ $1$ $2$
Given that $\mathrm{f(y})=|\mathrm{y}| / \mathrm{y},$ and $\mathrm{q}$ is any non-zero real number, the value of $|\mathrm{f}(\mathrm{q})-\mathrm{f}(-\mathrm{q})|$ is$0$$...
admin
46.4k
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99
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Sep 3, 2022
Others
gate2011-ec
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GATE ECE 2011 | Question: 65
The sum of $n$ terms of the series $4+44+444+\ldots .$ is $(4 / 81)\left[10^{n+1}-9 n-1\right]$ $(4 / 81)\left[10^{n-1}-9 n-1\right]$ $(4 / 81)\left[10^{n+1}-9 n-10\right]$ $(4 / 81)\left[10^{n}-9 n-10\right]$
The sum of $n$ terms of the series $4+44+444+\ldots .$ is $(4 / 81)\left[10^{n+1}-9 n-1\right]$$(4 / 81)\left[10^{n-1}-9 n-1\right]$$(4 / 81)\left[10^{n+1}-9 n-10\right]$...
admin
46.4k
points
183
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admin
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Sep 3, 2022
Quantitative Aptitude
gate2011-ec
quantitative-aptitude
sequence-series
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