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Recent questions tagged gate2017-ee-2

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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$$3$
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GATE Electrical 2017 Set 2 | GA Question: 8
$X$ is a $30$ digit number starting with the digit $4$ followed by the digit $7$. Then the number $X^{3}$ will have $90$ digits $91$ digits $92$ digits $93$ digits
$X$ is a $30$ digit number starting with the digit $4$ followed by the digit $7$. Then the number $X^{3}$ will have$90$ digits$91$ digits$92$ digits$93$ digits
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GATE Electrical 2017 Set 2 | GA Question: 5
There are $3$ red socks, $4$ green socks and $3$ blue socks. You choose $2$ socks. The probability that they are of the same colour is $1/5$ $7/30$ $1/4$ $4/15$
There are $3$ red socks, $4$ green socks and $3$ blue socks. You choose $2$ socks. The probability that they are of the same colour is$1/5$$7/30$$1/4$$4/15$
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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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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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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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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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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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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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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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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} \\ $$\frac{100}{s^{2}+5s+100} ...
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GATE Electrical 2017 Set 2 | Question: 35
The range of $K$ for which all the roots of the equation $s^{3}+3s^{2}+2s+K=0$ are in the left half of the complex $s$-plane is $0 < K < 6$ $0 < K < 16$ $6 < K < 36$ $6 < K < 16$
The range of $K$ for which all the roots of the equation $s^{3}+3s^{2}+2s+K=0$ are in the left half of the complex $s$-plane is$0 < K < 6$$0 < K < 16$$6 < K < 36$$6 < K <...
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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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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}$$v_{0}=5 v_{s}$
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GATE Electrical 2017 Set 2 | Question: 37
For the circuit shown in the figure below, it is given that $V_{CE}=\frac{V_{CC}}{2}$. The transistor has $\beta=29$ and $V_{BE}=0.7 V$ when the $B-E$ junction is forward biased. For this circuit, the value of $\frac{R_{B}}{R}$ is $43$ $92$ $121$ $129$
For the circuit shown in the figure below, it is given that $V_{CE}=\frac{V_{CC}}{2}$. The transistor has $\beta=29$ and $V_{BE}=0.7 V$ when the $B-E$ junction is forward...
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GATE Electrical 2017 Set 2 | Question: 34
The root locus of the feedback control system having the characteristic equation $s^{2}+6Ks+2s+5=0$ where $K>0$, enters into the real axis at. $s=-1$ $s=-\sqrt{5}$ $s=-5$ $s=\sqrt{5}$
The root locus of the feedback control system having the characteristic equation $s^{2}+6Ks+2s+5=0$ where $K>0$, enters into the real axis at.$s=-1$$s=-\sqrt{5}$$s=-5$$s=...
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GATE Electrical 2017 Set 2 | Question: 28
The eigenvalues of the matrix given below are $\begin{bmatrix} 0 & 1 & 0\\ 0 & 0 & 1\\ 0 & -3 & -4 \end{bmatrix}$ $(0, -1, -3)$ $(0, -2, -3)$ $(0, 2, 3)$ $(0, 1, 3)$
The eigenvalues of the matrix given below are$\begin{bmatrix}0 & 1 & 0\\ 0 & 0 & 1\\ 0 & -3 & -4\end{bmatrix}$$(0, -1, -3)$$(0, -2, -3)$$(0, 2, 3)$$(0, 1, 3)$
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GATE Electrical 2017 Set 2 | Question: 27
The value of the contour integral in the complex plane $\oint \frac{z^{3}-2z+3}{z-2} dz$ along the contour $\mid z \mid =3$, taken counter- clockwise is $-18 \pi i$ $0$ $14 \pi i$ $48 \pi i$
The value of the contour integral in the complex plane $\oint \frac{z^{3}-2z+3}{z-2} dz$ along the contour $\mid z \mid =3$, taken counter- clockwise is$-18 \pi i$$0$$14...
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GATE Electrical 2017 Set 2 | Question: 22
The initial charge in the $1$ F capacitor present in the circuit shown is zero. The energy in joules transferred from the $DC$ source until steady state condition is reached equals _________. (Give the answer up to one decimal place.)
The initial charge in the $1$ F capacitor present in the circuit shown is zero. The energy in joules transferred from the $DC$ source until steady state condition is reac...
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