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283
GATE Electrical 2020 | Question: 35
Which of the following options is correct for the system shown below? $4^{th}$ order and stable $3^{rd}$ order and stable $4^{th}$ order and unstable $3^{rd}$ order and unstable
Which of the following options is correct for the system shown below?$4^{th}$ order and stable$3^{rd}$ order and stable$4^{th}$ order and unstable$3^{rd}$ order and unsta...
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284
GATE Electrical 2020 | Question: 36
Consider a negative unity feedback system with the forward path transfer function $\dfrac{s^{2}+s+1}{s^{3}+2s^{2}+2s+K},$ where $K$ is a positive real number. The value of $K$ for which the system will have some of its poles on the imaginary axis is ____________. $9$ $8$ $7$ $6$
Consider a negative unity feedback system with the forward path transfer function $\dfrac{s^{2}+s+1}{s^{3}+2s^{2}+2s+K},$ where $K$ is a positive real number. The value o...
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285
GATE Electrical 2020 | Question: 37
Suppose for input $x(t)$ a linear time-invariant system with impulse response $h(t)$ produces output $y(t)$,so that $x\left ( t \right )*h\left ( t \right )=y\left ( t \right )$ ... $t\:\in \left ( -\infty, \infty \right ),z\left ( t \right )\geq y\left ( t \right )$
Suppose for input $x(t)$ a linear time-invariant system with impulse response $h(t)$ produces output $y(t)$,so that $x\left ( t \right )*h\left ( t \right )=y\left ( t \r...
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286
GATE Electrical 2020 | Question: 38
The causal realization of a system transfer function $H(s)$ having poles at $(2,-1), (-2,1)$ and zeroes at $(2,1), (-2,-1)$ will be stable, real, allpass unstable, complex, allpass unstable, real, highpass stable, complex, lowpass
The causal realization of a system transfer function $H(s)$ having poles at $(2,-1), (-2,1)$ and zeroes at $(2,1), (-2,-1)$ will be stable, real, allpassunstable, complex...
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288
GATE Electrical 2020 | Question: 40
Let $a_{r},\:a_{\phi }$ and $a_{z}$ be unit vectors along $r,\:\phi$ and $z$ ... $z$-axis with its base at the origin is: $54\:\pi$ $90\:\pi$ $108\:\pi$ $180\:\pi$
Let $a_{r},\:a_{\phi }$ and $a_{z}$ be unit vectors along $r,\:\phi$ and $z$ directions, respectively in the cylindrical coordinate system. For the electric flux density ...
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289
GATE Electrical 2020 | Question: 41
A stable real linear time-invariant system with single pole at $\text{p}$, has a transfer function $H\left ( s \right )=\dfrac{s^{2}+100}{s-p}$ with a $\text{dc}$ gain of $5$. The smallest positive frequency, in $\text{rad/s}$, at unity gain is closest to: $8.84$ $11.08$ $78.13$ $122.87$
A stable real linear time-invariant system with single pole at $\text{p}$, has a transfer function $H\left ( s \right )=\dfrac{s^{2}+100}{s-p}$ with a $\text{dc}$ gain of...
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290
GATE Electrical 2020 | Question: 42
The number of purely real elements in a lower triangular representation of the given $3\times 3$ ... $5$ $6$ $8$ $9$
The number of purely real elements in a lower triangular representation of the given $3\times 3$ matrix, obtained through the given decomposition is ______________.$$\beg...
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291
GATE Electrical 2020 | Question: 43
The figure below shows the per-phase Open Circuit Characteristics (measured in $\text{V}$) and Short Circuit Characteristics (measured in $\text{A}$) of a $14 \: kVA$, $400 \: V$, $50 \: Hz$, $4$-pole, $3$ ... $2.100$ $2.025$ $2.000$ $1.000$
The figure below shows the per-phase Open Circuit Characteristics (measured in $\text{V}$) and Short Circuit Characteristics (measured in $\text{A}$) of a $14 \: kVA$, $4...
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304
Gate2006-EE
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$\\ P=\begin{pmatrix} -10\\ -1\\ 3 \end{pmatrix}^{T} Q=\begin{pmatrix} -2\\ -5\\ 9 \end{pmatrix}^{T} R=\begin{pmatrix} 2\\ -7\\ 12 \end{pmatrix}^{T} are\ three\ vectors.\...
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305
GATE Electrical 2019 | GA Question: 1
I am not sure if the bus that has been booked will be able to ______ all the students. sit deteriorate fill accommodate
I am not sure if the bus that has been booked will be able to ______ all the students.sitdeterioratefillaccommodate
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306
GATE Electrical 2019 | GA Question: 2
The passengers were angry ______ the airline staff about the delay. on about with towards
The passengers were angry ______ the airline staff about the delay.onaboutwithtowards
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307
GATE Electrical 2019 | GA Question: 3
The missing number in the given sequence $343,1331,$_____$,4913$ is $3375$ $2744$ $2197$ $4096$
The missing number in the given sequence $343,1331,$_____$,4913$ is$3375$$2744$$2197$$4096$
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308
GATE Electrical 2019 | GA Question: 4
It takes two hours for a person $X$ to mow the lawn. $Y$ can mow the same lawn in four hours. How long (in minutes) will it take $X$ and $Y,$ if they work together to mow the lawn$?$ $60$ $80$ $90$ $120$
It takes two hours for a person $X$ to mow the lawn. $Y$ can mow the same lawn in four hours. How long (in minutes) will it take $X$ and $Y,$ if they work together to mow...
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309
GATE Electrical 2019 | GA Question: 5
Newspapers are a constant source of delight and recreation for me. The ________ trouble is that I read _______ many of them. even, quite even, too only, quite only, too
Newspapers are a constant source of delight and recreation for me. The ________ trouble is that I read _______ many of them.even, quiteeven, tooonly, quiteonly, too
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310
GATE Electrical 2019 | GA Question: 6
How many integers are there between $100$ and $1000$ all of whose digits are even? $60$ $80$ $100$ $90$
How many integers are there between $100$ and $1000$ all of whose digits are even?$60$$80$$100$$90$
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315
GATE Electrical 2019 | Question: 1
The inverse Laplace transform of $H(s)=\frac{s+3}{s^{2}+2s+1}$ for $t \geq0$ $3te^{-t}+e^{-t}$ $3e^{-t}$ $2te^{-t}+e^{-t}$ $4te^{-t}+e^{-t}$
The inverse Laplace transform of $H(s)=\frac{s+3}{s^{2}+2s+1}$ for $t \geq0$$3te^{-t}+e^{-t}$$3e^{-t}$$2te^{-t}+e^{-t}$$4te^{-t}+e^{-t}$
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317
GATE Electrical 2019 | Question: 4
Which one of the following functions is analytic in the region $\mid z \mid \leq 1$ ? $\frac{z^{2}-1}{z} \\ $ $\frac{z^{2}-1}{z+2} \\ $ $\frac{z^{2}-1}{z-0.5} \\ $ $\frac{z^{2}-1}{z+j0.5} $
Which one of the following functions is analytic in the region $\mid z \mid \leq 1$ ?$\frac{z^{2}-1}{z} \\ $$\frac{z^{2}-1}{z+2} \\ $$\frac{z^{2}-1}{z-0.5} \\ $$\frac{z^...
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319
GATE Electrical 2019 | Question: 6
A system transfer function is $H(s)= \frac{a_{1}s^{2}+b_{1}s+c_{1}}{a_{2}s^{2}+b_{2}s+c_{2}}.$ If $a_{1}=b_{1}=0,$ and all the other coefficient are positive, the transfer function represents a low pass filter high pass filter band pass filter notch filter
A system transfer function is $H(s)= \frac{a_{1}s^{2}+b_{1}s+c_{1}}{a_{2}s^{2}+b_{2}s+c_{2}}.$ If $a_{1}=b_{1}=0,$ and all the other coefficient are positive, the transfe...
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320
GATE Electrical 2019 | Question: 7
The symbols, $a$ and $T,$ represent positive quantities, and $u(t)$ is the unit step function. Which one of the following impulse responses is NOT the output of a causal linear time-invariant system? $e^{+at}u(t)$ $e^{-a(t+T)}u(t)$ $1+e^{-at}u(t)$ $e^{-a(t-T)}u(t)$
The symbols, $a$ and $T,$ represent positive quantities, and $u(t)$ is the unit step function. Which one of the following impulse responses is NOT the output of a causal ...
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