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321
GATE Electrical 2018 | Question: 5
Two wattmeter method is used for measurement of power in a balanced three-phase load supplied from a balanced three-phase system. If one of the wattmeters reads half of the other (both positive), then the power factor of the load is $0.532$ $0.632$ $0.707$ $0.866$
Two wattmeter method is used for measurement of power in a balanced three-phase load supplied from a balanced three-phase system. If one of the wattmeters reads half of t...
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Feb 19, 2018
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GATE Electrical 2018 | Question: 4
Four power semiconductor devices are shown in the figure along with their relevant terminals. The device(s) that can carry dc current continuously in the direction shown when gated appropriately is (are) Triac only Triac and MOSFET Triac and GTO Thyristor and Triac
Four power semiconductor devices are shown in the figure along with their relevant terminals. The device(s) that can carry dc current continuously in the direction shown ...
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Feb 19, 2018
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GATE Electrical 2018 | Question: 3
A single phase fully controlled rectifier is supplying a load with an anti-parallel diode as shown in the figure. All switches and diodes are ideal. Which one of the following is true for instantaneous load voltage and current? $v_o \geq 0$ & $i_o<0$ $v_o < 0$ & $i_o <0$ $v_o \geq 0$ & $i_o \geq 0$ $v_0 < 0$ & $i_o\geq 0$
A single phase fully controlled rectifier is supplying a load with an anti-parallel diode as shown in the figure. All switches and diodes are ideal. Which one of the foll...
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Feb 19, 2018
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GATE Electrical 2018 | Question: 2
In a salient pole synchronous motor, the developed reluctance torque attains the maximum value when the load angle in electrical degrees is $0$ $45$ $60$ $90$
In a salient pole synchronous motor, the developed reluctance torque attains the maximum value when the load angle in electrical degrees is$0$$45$$60$$90$
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Feb 19, 2018
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GATE Electrical 2018 | Question: 1
A single-phase $100$ kVA, $1000$ V / $100$ V, $50$ Hz transformer has a voltage has a voltage drop of $5 \%$ across its series impedance at full load. Of this, $3\%$ is due to resistance. The percentage regulation of the transformer at full load with $0.8$ lagging power factor is $4.8$ $6.8$ $8.8$ $10.8$
A single-phase $100$ kVA, $1000$ V / $100$ V, $50$ Hz transformer has a voltage has a voltage drop of $5 \%$ across its series impedance at full load. Of this, $3\%$ is d...
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Feb 19, 2018
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GATE Electrical 2017 Set 2 | GA Question: 10
An air pressure contour line joins locations in a region having the same atmospheric pressure. The following is an air pressure contour plot of a geographical region. Contour lines are shown at $0.05$ bar intervals in this plot. If a possibility of a ... over a region, which of the following regions is most likely to have a thunderstorm? $P$ $Q$ $R$ $S$
An air pressure contour line joins locations in a region having the same atmospheric pressure. The following is an air pressure contour plot of a geographical region. Con...
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Feb 26, 2017
Quantitative Aptitude
gate2017-ee-2
numerical-ability
data-interpretation
contour-plots
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327
GATE Electrical 2017 Set 2 | GA Question: 9
The number of roots of $e^{x}+0.5x^{2}-2=0$ in the range $[-5, 5]$ is $0$ $1$ $2$ $3$
The number of roots of $e^{x}+0.5x^{2}-2=0$ in the range $[-5, 5]$ is$0$$1$$2$$3$
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Feb 26, 2017
Quantitative Aptitude
gate2017-ee-2
numerical-ability
quadratic-equations
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328
GATE Electrical 2017 Set 2 | GA Question: 8
$X$ is a $30$ digit number starting with the digit $4$ followed by the digit $7$. Then the number $X^{3}$ will have $90$ digits $91$ digits $92$ digits $93$ digits
$X$ is a $30$ digit number starting with the digit $4$ followed by the digit $7$. Then the number $X^{3}$ will have$90$ digits$91$ digits$92$ digits$93$ digits
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Feb 26, 2017
Quantitative Aptitude
gate2017-ee-2
numerical-ability
numerical-computation
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329
GATE Electrical 2017 Set 2 | GA Question: 7
There are three boxes. One contains apples, another contains oranges and the last one contains both apples and oranges. All three are known to be incorrectly labelled. If you are permitted to open just one box and then pull ... 'Apples'. The box labelled 'Apples and Oranges'. The box labelled 'Oranges'. Cannot be determined.
There are three boxes. One contains apples, another contains oranges and the last one contains both apples and oranges. All three are known to be incorrectly labelled. If...
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Feb 26, 2017
Analytical Aptitude
gate2017-ee-2
analytical-aptitude
logical-reasoning
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330
GATE Electrical 2017 Set 2 | GA Question: 6
"We lived in a culture that denied any merit to literary works, considering them important only when they were handmaidens to something seemingly more urgent- namely ideology. This was a country where all gestures, ... important as literature is revealed by the word: 'culture' 'seemingly' 'urgent' 'political'
"We lived in a culture that denied any merit to literary works, considering them important only when they were handmaidens to something seemingly more urgent- namely ideo...
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Feb 26, 2017
Verbal Aptitude
gate2017-ee-2
verbal-ability
verbal-reasoning
passage-reading
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331
GATE Electrical 2017 Set 2 | GA Question: 5
There are $3$ red socks, $4$ green socks and $3$ blue socks. You choose $2$ socks. The probability that they are of the same colour is $1/5$ $7/30$ $1/4$ $4/15$
There are $3$ red socks, $4$ green socks and $3$ blue socks. You choose $2$ socks. The probability that they are of the same colour is$1/5$$7/30$$1/4$$4/15$
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Feb 26, 2017
Quantitative Aptitude
gate2017-ee-2
numerical-ability
probability
conditional-probability
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332
GATE Electrical 2017 Set 2 | GA Question: 4
A test has twenty questions worth $100$ marks in total. There are two types of questions. Multiple choice questions are worth $3$ marks each and essay questions are worth $11$ marks each. How many multiple choice questions does the exam have? $12$ $15$ $18$ $19$
A test has twenty questions worth $100$ marks in total. There are two types of questions. Multiple choice questions are worth $3$ marks each and essay questions are worth...
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Feb 26, 2017
Quantitative Aptitude
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numerical-ability
counting
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333
GATE Electrical 2017 Set 2 | GA Question: 3
There are five buildings called $V, W, X, Y$ and $Z$ in a row (not necessarily in that order). $V$ is to the West of $W . Z$ is to the East of $X$ and the West of $V$. $W$ is to the West of $Y$. Which is the building in the middle? $V$ $W$ $X$ $Y$
There are five buildings called $V, W, X, Y$ and $Z$ in a row (not necessarily in that order). $V$ is to the West of $W . Z$ is to the East of $X$ and the West of $V$. $W...
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Feb 26, 2017
Analytical Aptitude
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analytical-aptitude
logical-reasoning
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GATE Electrical 2017 Set 2 | GA Question: 2
Saturn is _______ to be seen on a clear night with the naked eye. Enough bright Bright enough As enough bright Bright as enough
Saturn is _______ to be seen on a clear night with the naked eye.Enough brightBright enoughAs enough brightBright as enough
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Feb 26, 2017
Verbal Aptitude
gate2017-ee-2
verbal-ability
english-grammar
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335
GATE Electrical 2017 Set 2 | GA Question: 1
Choose the option with words that are not synonyms. Aversion, dislike. Luminous, radiant. Plunder, loot Yielding, resistant.
Choose the option with words that are not synonyms.Aversion, dislike.Luminous, radiant.Plunder, lootYielding, resistant.
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Feb 26, 2017
Verbal Aptitude
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verbal-ability
vocabulary
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GATE Electrical 2017 Set 2 | Question: 55
A thin soap bubble of radius $R=1$ cm, and thickness $a=3.3 \mu m (a << R)$, is at a potential of $1$ V with respect to a reference point at infinity. The bubble bursts and becomes a single spherical drop ... resulting single spherical drop with respect to the same reference point at infinity is _________. (Give the answer up to two decimal places.)
A thin soap bubble of radius $R=1$ cm, and thickness $a=3.3 \mu m (a << R)$, is at a potential of $1$ V with respect to a reference point at infinity. The bubble bursts a...
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Feb 26, 2017
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GATE Electrical 2017 Set 2 | Question: 54
A $3$-phase, $2$-pole, $50$Hz, synchronous generator has a rating of $250$ MVA, $0.8$ pf lagging. The kinetic energy of the machine at synchronous speed is $1000$MJ. The machine is running steadily at synchronous speed ... assuming the acceleration is constant for $10$ cycles, the value of the power angle after $5$ cycles is __________ electrical degrees.
A $3$-phase, $2$-pole, $50$Hz, synchronous generator has a rating of $250$ MVA, $0.8$ pf lagging. The kinetic energy of the machine at synchronous speed is $1000$MJ. The ...
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Feb 26, 2017
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GATE Electrical 2017 Set 2 | Question: 53
Two generating units rated $300$MW and $400$MW have governor speed regulation of $6 \%$ and $4 \%$ respectively from no load to full load. Both the generating units are operating in parallel to share a load of $600$MW. Assuming free governor action, the load shared by the larger unit is _________ MW.
Two generating units rated $300$MW and $400$MW have governor speed regulation of $6 \%$ and $4 \%$ respectively from no load to full load. Both the generating units are o...
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Feb 26, 2017
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GATE Electrical 2017 Set 2 | Question: 52
A $3$-phase, $50$Hz generator supplies power of $3$MW at $17.32$kV to a balanced $3$-phase inductive load through an overhead line. The per phase line resistance and reactance are $0.25 \Omega$ and $3.925 \Omega$ respectively. If the voltage at the generator terminal is $17.87$kV, the power factor of the load is ________.
A $3$-phase, $50$Hz generator supplies power of $3$MW at $17.32$kV to a balanced $3$-phase inductive load through an overhead line. The per phase line resistance and reac...
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Feb 26, 2017
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GATE Electrical 2017 Set 2 | Question: 51
Consider an overhead transmission line with $3$-phase, $50$ Hz balanced system with conductors located at the vertices of an equilateral triangle of length $D_{ab}=D_{bc}=D_{ca}=1m$ as shown in figure below. The resistance of the ... of ground, the magnitude of positive sequence reactance in $\Omega/km$ (rounded off to three decimal places) is _________.
Consider an overhead transmission line with $3$-phase, $50$ Hz balanced system with conductors located at the vertices of an equilateral triangle of length $D_{ab}=D_{bc}...
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Feb 26, 2017
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GATE Electrical 2017 Set 2 | Question: 50
In the circuit shown all elements are ideal and the switch $S$ is operated at $10$kHz and $60 \%$ duty ratio. The capacitor is large enough so that the ripple across it is negligible and at steady state acquires a voltage as shown. The peak current in amperes drawn from the $50$ V DC source is _______.(Give the answer up to one decimal place.)
In the circuit shown all elements are ideal and the switch $S$ is operated at $10$kHz and $60 \%$ duty ratio. The capacitor is large enough so that the ripple across it i...
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Feb 26, 2017
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GATE Electrical 2017 Set 2 | Question: 49
For the synchronous sequential circuit shown below, the output $Z$ is zero for the initial conditions $Q_{A}, Q_{B}, Q_{C}= Q'_{A}, Q'_{B}, Q'_{C}=100$ The minimum number of clock cycles after which the output $Z$ would again become zero is _________.
For the synchronous sequential circuit shown below, the output $Z$ is zero for the initial conditions $Q_{A}, Q_{B}, Q_{C}= Q'_{A}, Q'_{B}, Q'_{C}=100$The minimum number ...
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Feb 26, 2017
Analog and Digital Electronics
gate2017-ee-2
numerical-answers
analog-and-digital-electronics
sequential-circuit
counters
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343
GATE Electrical 2017 Set 2 | Question: 48
In the circuit shown in the figure, the diode used is ideal. The input power factor is ________. (Give the answer up to two decimal places).
In the circuit shown in the figure, the diode used is ideal. The input power factor is ________. (Give the answer up to two decimal places).
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Feb 26, 2017
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GATE Electrical 2017 Set 2 | Question: 47
A $10 \frac{1}{2}$ digit timer counter possesses a base clock of frequency $100$ MHz. When measuring a particular input, the reading obtained is the same in: Frequency mode of operation with a gating time of one second and Period mode of operation (in the $\times 10$ns scale). The frequency of the unknown input (reading obtained) in Hz is _______.
A $10 \frac{1}{2}$ digit timer counter possesses a base clock of frequency $100$ MHz. When measuring a particular input, the reading obtained is the same in:Frequency mod...
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Feb 26, 2017
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GATE Electrical 2017 Set 2 | Question: 46
Consider the system described by the following state space representation ... $y(t)$ at $t=1$ sec (rounded off to three decimal places) is ___________.
Consider the system described by the following state space representation$\begin{bmatrix}\dot{x}_{1}(t)\\\dot{x}_{2}(t)\end{bmatrix}=\begin{bmatrix}0 &1 \\0 & -2\end{bmat...
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Feb 26, 2017
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GATE Electrical 2017 Set 2 | Question: 45
If the primary line voltage rating is $3.3$kV (Y side) of a $25$kVA, $Y-\Delta$ transformer (the per phase turns ratio is $5:1$), then the line current rating of the secondary side (in Ampere) is _______.
If the primary line voltage rating is $3.3$kV (Y side) of a $25$kVA, $Y-\Delta$ transformer (the per phase turns ratio is $5:1$), then the line current rating of the seco...
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Feb 26, 2017
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347
GATE Electrical 2017 Set 2 | Question: 44
A $25$ kVA, $400$ V, $\Delta$-connected, $3$-phase, cylindrical rotor synchronous generator requires a field current of $5$ A to maintain the rated armature current under short-circuit condition. For the same field current, the open ... terminal voltage), when the generator delivers the rated load at $0.8$ pf leading, at rated terminal voltage is _________.
A $25$ kVA, $400$ V, $\Delta$-connected, $3$-phase, cylindrical rotor synchronous generator requires a field current of $5$ A to maintain the rated armature current under...
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Feb 26, 2017
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348
GATE Electrical 2017 Set 2 | Question: 43
A star-connected, $12.5$kW, $208$ V (line), $3$-phase, $60$ ... starting current (in Ampere) for this motor when connected to an $80$ V (line), $20$ Hz, $3$-phase AC source is _________.
A star-connected, $12.5$kW, $208$ V (line), $3$-phase, $60$Hz squirrel cage induction motor has following equivalent circuit parameters per phase referred to the stator: ...
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Feb 26, 2017
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349
GATE Electrical 2017 Set 2 | Question: 42
A $120$ V DC shunt motor takes $2$A at no load. It takes $7$A on full load while running at $1200$ rpm. The armature resistance is $0.8 \Omega$, and the shunt field resistance is $240 \Omega$. The no load speed, in rpm, is _________.
A $120$ V DC shunt motor takes $2$A at no load. It takes $7$A on full load while running at $1200$ rpm. The armature resistance is $0.8 \Omega$, and the shunt field resis...
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Feb 26, 2017
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350
GATE Electrical 2017 Set 2 | Question: 41
For the network given in the figure below, the Thevenin's voltage $V_{ab}$ is $-1.5$V $-0.5$V $0.5$V $1.5$V
For the network given in the figure below, the Thevenin's voltage $V_{ab}$ is$-1.5$V$-0.5$V$0.5$V$1.5$V
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Feb 26, 2017
Others
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351
GATE Electrical 2017 Set 2 | Question: 40
A person decides to toss a fair coin repeatedly until he gets a head. He will make at most $3$ tosses. Let the random variable $Y$ denote the number of heads. The value of $\text{var} \{Y\}$, where $\text{var} \{ \cdot \}$ denotes the variance, equals $\frac{7}{8} \\$ $\frac{49}{64} \\$ $\frac{7}{64} \\$ $\frac{105}{64}$
A person decides to toss a fair coin repeatedly until he gets a head. He will make at most $3$ tosses. Let the random variable $Y$ denote the number of heads. The value o...
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Feb 26, 2017
new
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probability-and-statistics
probability
random-variable
variance
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352
GATE Electrical 2017 Set 2 | Question: 39
The figure below shows a half-bridge voltage source inverter supplying an RL-load with $R=40 \Omega$ and $L=(\frac{0.3}{\pi})H$. The desired fundamental frequency of the load voltage is $50$Hz. The switch control signals of the converter are generated using ... $DC$ source voltage $V_{DC}$ in volts is. $300\sqrt{2}$ $500$ $500\sqrt{2}$ $1000\sqrt{2}$
The figure below shows a half-bridge voltage source inverter supplying an RL-load with $R=40 \Omega$ and $L=(\frac{0.3}{\pi})H$. The desired fundamental frequency of the ...
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Feb 26, 2017
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GATE Electrical 2017 Set 2 | Question: 38
For the circuit shown below, assume that the $OPAMP$ is ideal. Which one of the following is TRUE? $v_{0}=v_{s}$ $v_{0}=1.5 v_{s}$ $v_{0}=2.5 v_{s}$ $v_{0}=5 v_{s}$
For the circuit shown below, assume that the $OPAMP$ is ideal.Which one of the following is TRUE?$v_{0}=v_{s}$$v_{0}=1.5 v_{s}$$v_{0}=2.5 v_{s}$$v_{0}=5 v_{s}$
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Feb 26, 2017
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GATE Electrical 2017 Set 2 | Question: 37
For the circuit shown in the figure below, it is given that $V_{CE}=\frac{V_{CC}}{2}$. The transistor has $\beta=29$ and $V_{BE}=0.7 V$ when the $B-E$ junction is forward biased. For this circuit, the value of $\frac{R_{B}}{R}$ is $43$ $92$ $121$ $129$
For the circuit shown in the figure below, it is given that $V_{CE}=\frac{V_{CC}}{2}$. The transistor has $\beta=29$ and $V_{BE}=0.7 V$ when the $B-E$ junction is forward...
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Feb 26, 2017
Others
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355
GATE Electrical 2017 Set 2 | Question: 36
Which of the following systems has maximum peak overshoot due to a unit step input? $\frac{100}{s^{2}+10s+100} \\$ $\frac{100}{s^{2}+15s+100} \\ $ $\frac{100}{s^{2}+5s+100} \\$ $\frac{100}{s^{2}+20s+100}$
Which of the following systems has maximum peak overshoot due to a unit step input?$\frac{100}{s^{2}+10s+100} \\$$\frac{100}{s^{2}+15s+100} \\ $$\frac{100}{s^{2}+5s+100} ...
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Feb 26, 2017
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GATE Electrical 2017 Set 2 | Question: 35
The range of $K$ for which all the roots of the equation $s^{3}+3s^{2}+2s+K=0$ are in the left half of the complex $s$-plane is $0 < K < 6$ $0 < K < 16$ $6 < K < 36$ $6 < K < 16$
The range of $K$ for which all the roots of the equation $s^{3}+3s^{2}+2s+K=0$ are in the left half of the complex $s$-plane is$0 < K < 6$$0 < K < 16$$6 < K < 36$$6 < K <...
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Feb 26, 2017
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357
GATE Electrical 2017 Set 2 | Question: 34
The root locus of the feedback control system having the characteristic equation $s^{2}+6Ks+2s+5=0$ where $K>0$, enters into the real axis at. $s=-1$ $s=-\sqrt{5}$ $s=-5$ $s=\sqrt{5}$
The root locus of the feedback control system having the characteristic equation $s^{2}+6Ks+2s+5=0$ where $K>0$, enters into the real axis at.$s=-1$$s=-\sqrt{5}$$s=-5$$s=...
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Feb 26, 2017
Others
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358
GATE Electrical 2017 Set 2 | Question: 33
A $220$ V, $10$ kW, $900$ rpm separately excited $DC$ motor has an armature resistance $R_{a}=0.02 \Omega$. When the motor operates at rated speed and with rated terminal voltage, the electromagnetic torque developed by the motor is $70$Nm. Neglecting the ... the current drawn by the motor from the $220$V supply is $34.2$ A $30$ A $22$ A $4.84$ A
A $220$ V, $10$ kW, $900$ rpm separately excited $DC$ motor has an armature resistance $R_{a}=0.02 \Omega$. When the motor operates at rated speed and with rated terminal...
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Feb 26, 2017
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359
GATE Electrical 2017 Set 2 | Question: 32
A cascade system having the impulse responses $h_{1}(n)= \{ \underset{\uparrow}{1}-1 \}$ and $h_{2}(n)= \{ \underset{\uparrow}{1}-1, 1 \}$ is shown in the figure below, where symbol $\uparrow$ denotes the time origin. The input sequence $x(n)$ for which the ... $x(n)= \{\underset{\uparrow}{1}-1, 2, 2, 1 \}$
A cascade system having the impulse responses $h_{1}(n)= \{ \underset{\uparrow}{1}-1 \}$ and $h_{2}(n)= \{ \underset{\uparrow}{1}-1, 1 \}$ is shown in the figure below, ...
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Feb 26, 2017
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GATE Electrical 2017 Set 2 | Question: 31
The output $y(t)$ of the following system is to be sampled, so as to reconstruct it from its samples uniquely. The required minimum sampling rate is $1000$ samples/s $1500$ samples/s $2000$ samples/s $3000$ samples/s
The output $y(t)$ of the following system is to be sampled, so as to reconstruct it from its samples uniquely. The required minimum sampling rate is$1000$ samples/s$1500$...
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Feb 26, 2017
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