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GATE2020EC: 6
A single crystal intrinsic semiconductor is at a temperature of $300$ $\text{K}$ with effective density of states for holes twice that of electrons. The thermal voltage is $26$ mV. The intrinsic Fermi level is shifted from midbandgap energy level by $18.02 \: meV$ $9.01 \: meV$ $13.45 \: meV$ $26.90 \: meV$
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gate2020ec
digitalcircuits
semiconductors
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2
GATE2020EC: 5
The output $y[n]$ of a discretetime system for an input $x[n]$ is $y\left [ n \right ]=\underset{\infty \leq k\leq n}{\text{max}} \mid x\left [ k \right ] \mid$ The unit impulse response of the system is $0$ for all $n$. $1$ for all $n$. unit step signal $u\left [ n \right ].$ unit impulse signal $\delta \left [ n \right ].$
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continuoustimesignals
signalsandsystems
discretetimesignals
impulseresponse
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3
GATE2020EC: 4
The general solution of $\dfrac{\mathrm{d^{2}} y}{\mathrm{d} x^{2}}6\dfrac{\mathrm{d} y}{\mathrm{d} x}+9y=0$ is $y=C_{1}e^{3x}+C_{2}e^{3x}$ $y=(C_{1}+C_{2}x)e^{3x}$ $y=(C_{1}+C_{2}x)e^{3x}$ $y=C_{1}e^{3x}$
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gate2020ec
engineeringmathematics
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4
GATE2020EC: 3
The partial derivative of the function $f(x, y, z) = e^{1x\cos y} + xze^{1/(1+y^{2})}$ with respect to $x$ at the point $(1,0,e)$ is $1$ $0$ $1 \\$ $\dfrac{1}{e}$
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gate2020ec
partialdifferentialequations
engineeringmathematics
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5
GATE2020EC: 2
For a vector field $\overrightarrow{A}$, which one of the following is $\text{FALSE}$? $\overrightarrow{A}$ is solenoidal if $\triangledown \cdot \overrightarrow{A}=0.$ $\triangledown \times \overrightarrow{A}$ ...
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gate2020ec
engineeringmathematics
vectors
overrightarrow
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6
GATE2020EC: 1
If $v_{1},v_{2}, \dots ,v_{6}$ are six vectors in $\mathbb{R}^{4}$ , which one of the following statements is $\text{FALSE}$? It is not necessary that these vectors span $\mathbb{R}^{4}$ ... $\mathbb{R}^{4}$ , then it forms a basis for $\mathbb{R}^{4}$.
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gate2020ec
vectoranalysis
engineeringmathematics
0
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1
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7
GATE2020ECGA: 10
The following figure shows the data of students enrolled in $5$ years $(2014 to 2018)$ for two schools $P$ and $Q$. During this period, the ratio of the average number of the students enrolled in school $P$ to the average of the difference of the number of students enrolled in schools $P$ and $Q$ is _______. $8 : 23$ $23 : 8$ $23 : 31$ $31 : 23$
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Numerical Ability
by
jothee
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gate2020ec
0
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1
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8
GATE2020ECGA: 9
$a, b, c$ are real numbers. The quadratic equation $ax^{2}bx+c=0$ has equal roots, which is $\beta$, then $\beta =b/a$ $\beta^{2} =ac$ $\beta^{3} =bc/\left ( 2a^{2} \right )$ $\beta^{2} \neq 4ac$
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2 hours
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Numerical Ability
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1.4k
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gate2020ec
0
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1
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9
GATE2020ECGA: 8
A circle with centre $\text{O}$ is shown in the figure. A rectangle $\text{PQRS}$ of maximum possible area is inscribed in the circle. If the radius of the circle is $a$, then the area of the shaded portion is _______. $\pi a^{2}a^{2}$ $\pi a^{2}\sqrt{2}a^{2}$ $\pi a^{2}2a^{2}$ $\pi a^{2}3a^{2}$
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2 hours
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Numerical Ability
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1.4k
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gate2020ec
0
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1
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10
GATE2020ECGA: 7
It is quarter past three in your watch. The angle between the hour hand and the minute hand is ________. $0^{\circ}$ $7.5^{\circ}$ $15^{\circ}$ $22.5^{\circ}$
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2 hours
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Numerical Ability
by
jothee
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1.4k
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gate2020ec
0
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1
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11
GATE2020ECGA: 6
The global financial crisis in $2008$ is considered to be the most serious worldwide financial crisis, which started with the subprime lending crisis in $\text{USA}$ in $2007$. The subprime lending crisis led to the banking ... $\rightarrow$ East Asian crisis$\rightarrow$ banking crisis$\rightarrow$ subprime lending crisis.
edited
2 hours
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Numerical Ability
by
jothee
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1.4k
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gate2020ec
0
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1
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12
GATE2020ECGA: 5
A superadditive function $f(\cdot)$ satisfies the following property $f\left ( x_{1} +x_{2}\right )\geq f\left ( x_{1} \right ) + f\left ( x_{2} \right )$ Which of the following functions is a superadditive function for $x > 1$? $e^{x}$ $\sqrt{x}$ $1/x$ $e^{x}$
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2 hours
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Numerical Ability
by
jothee
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1.4k
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gate2020ec
0
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1
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13
GATE2020ECGA: 4
The Canadian constitution requires that equal importance be given to English and French. Last year, Air Canada lost a lawsuit, and had to pay a sixfigure fine to a Frenchspeaking couple after they filed complaints about formal inflight ... the French ones. the English announcements being longer than the French ones. equal importance being given to English and French.
edited
3 hours
ago
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Numerical Ability
by
jothee
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1.4k
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gate2020ec
0
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1
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14
GATE2020ECGA: 3
Select the word that fits the analogy: Explicit: Implicit :: Express: _______ Impress Repress Compress Suppress
edited
12 hours
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Numerical Ability
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jothee
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1.4k
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gate2020ec
0
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1
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15
GATE2020ECGA: 2
He was not only accused of theft _____ of conspiracy. rather but also but even rather than
edited
12 hours
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Numerical Ability
by
jothee
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1.4k
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gate2020ec
0
votes
1
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16
GATE2020ECGA: 1
The untimely loss of life is a cause of serious global concern as thousands of people get killed ____ accidents every year while many other die ____ diseases like cardio vascular disease, cancer, etc. in, of from, of during, from from, from
edited
13 hours
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Numerical Ability
by
jothee
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1.4k
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gate2020ec
0
votes
1
answer
17
GATE2014142
The digital logic shown in the figure satisfies the given state diagram when $Q1$ is connected to input $A$ of the XOR gate. Suppose the XOR gate is replaced by an XNOR gate. Which one of the following options preserves the state diagram? Input $A$ ... $Q2$ Input $A$ is connected to $\overline{Q1}$ and $S$ is complemented Input $A$ is connected to $\overline{Q1}$
answered
May 19
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srestha
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460
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gate2014ec1
logicgates
digitalcircuits
0
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0
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18
GATE2019 EC: 41
The $\text{RC}$ circuit shown below has a variable resistance $R(t)$ given by the following expression: $R(t)=R_{0}\left(1\frac{t}{T}\right) \text{for} \:\: 0 \leq t < T$ where $R_{0}=1\: \Omega,$ and $C=1\:F.$ ... at time $t=0$ is $1\: A,$ then the current $I(t)$, in amperes, at time $t=T/2$ is __________ (rounded off to $2$ decimal places).
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by
soujanyareddy13
(
100
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gate2019ec
numericalanswers
electronicdevices
current
0
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0
answers
19
GATE2019 EC: 44
Let $h[n]$ be a length  $7$ discretetime finite impulse response filter, given by $h[0]=4, \quad h[1]=3,\quad h[2]=2,\quad h[3]=1,$ $\quad h[1]=3, \quad h[2]=2, \quad h[3]=1,$ and $h[n]$ is zero for $n\geq4.$ ... $g[n],$ respectively. For the filter that minimizes $E(h,g),$ the value of $10g[1]+g[1],$ rounded off to $2$ decimal places, is __________.
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Apr 15
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soujanyareddy13
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100
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gate2019ec
numericalanswers
continuoustimesignals
signalsandsystems
discretetime
0
votes
0
answers
20
GATE2019 EC: 43
Consider the homogenous ordinary differential equation $x^{2}\frac{d^{2}y}{dx^{2}}3x\frac{dy}{dx}+3y=0, \quad x>0$ with $y(x)$ as a general solution. Given that $y(1)=1 \quad \text{and} \quad y(2)=14$ the value of $y(1.5),$ rounded off to two decimal places, is________.
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Apr 15
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soujanyareddy13
(
100
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gate2019ec
numericalanswers
differentialequations
engineeringmathematics
0
votes
0
answers
21
GATE2019 EC: 42
Consider a unity feedback system, as in the figure shown, with an integral compensator $\dfrac{K}{s}$ and openloop transfer function $G(s)=\dfrac{1}{s^{2}+3s+2}$ where $K>0.$ The positive value of $K$ for which there are exactly two poles of the unity feedback system on the $j\omega$ axis is equal to ________ (rounded off to two decimal places).
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by
soujanyareddy13
(
100
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gate2019ec
numericalanswers
feedbacksystems
integralcompensator
0
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0
answers
22
GATE2019 EC: 39
The state transition diagram for the circuit shown is
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Apr 15
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by
soujanyareddy13
(
100
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gate2019ec
statetransitiondiagram
0
votes
0
answers
23
GATE2019 EC: 40
In the circuits shown the threshold voltage of each $\text{nMOS}$ transistor is $0.6\:V.$ Ignoring the effect of channel length modulation and body bias. the values of $\text{Vout}1$ and $\text{Vout} 2,$ respectively, in volts, are $1.8$ and $1.2$ $2.4$ and $2.4$ $1.8$ and $2.4$ $2.4$ and $1.2$
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Apr 15
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Others
by
soujanyareddy13
(
100
points)
gate2019ec
communications
modulation
0
votes
0
answers
24
GATE2019 EC: 38
In the circuit shown, the breakdown voltage and the maximum current of the Zener diode are $20\:V$ and $60\:mA$, respectively. The values of $R_{1}$ and $R_{L}$ are $200\: \Omega$ and $1\:k\Omega,$ respectively. What is the range of $V_{i}$ that will maintain the Zener diode in the ‘on’ state? $22\: V$ to $34\: V$ $24\: V$ to $36\: V$ $18\: V$ to $24\: V$ $20\: V$ to $28\: V$
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Apr 15
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Others
by
soujanyareddy13
(
100
points)
gate2019ec
electronicdevices
zenerdiode
0
votes
0
answers
25
GATE2019 EC: 37
The dispersion equation of a waveguide, which relates the wavenumber $k$ to the frequency $\omega$ is $k(\omega)= (1/c) \sqrt{\omega^{2}\omega_{\circ}^{2}}$ where the speed of light $c= 2 \times 10^{8}\: m/s$ and $\omega_{\circ}$ ... $2 \times 10^{8}\: m/s$ $3 \times 10^{8}\: m/s$ $4.5 \times 10^{8}\: m/s$
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Apr 15
in
Others
by
soujanyareddy13
(
100
points)
gate2019ec
electromagnetics
waveguides
0
votes
0
answers
26
GATE2019 EC: 36
Two identical copper wires $W1$ and $W2$ placed in parallel as shown in the figure, carry currents $I$ and $2I$, respectively, in opposite directions. If the two wires are separated by a distance of $4r$, then the magnitude of the magnetic field $\overrightarrow{B}$ between the wires at a distance $r$ ... $\frac{5\mu_{0}I}{6\pi r}$ $\frac{\mu_{0}^{2}I^{2}}{2\pi r^{2}}$
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Apr 15
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by
soujanyareddy13
(
100
points)
gate2019ec
overrightarrow
vectoralgebra
0
votes
0
answers
27
GATE2019 EC: 35
The quantum efficiency $(\eta)$ and responsivity $(R)$ at wavelength $\lambda \:(\text{in}\: \mu m)$ in a pin photodetector are related by $R= \frac{\eta \times \lambda}{1.24}$ $R= \frac{\lambda}{\eta \times 1.24}$ $R= \frac{1.24 \times\lambda}{\eta}$ $R= \frac{1.24}{\eta \times \lambda}$
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Apr 15
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Others
by
soujanyareddy13
(
100
points)
gate2019ec
quantumefficiency
0
votes
0
answers
28
GATE2019 EC: 34
A single bit, equally likely to be $0$ and $1$, is to be sent across an additive white Gaussian noise (AWGN) channel with power spectral density $N_{0}/2.$ Binary signaling with $0 \mapsto p(t),$ and $1 \mapsto q(t),$ is used for the transmission, along with an optimal ... $E$ would we obtain the $\textbf{same}$ biterror probability $P_{b}$? $0$ $1$ $2$ $3$
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Apr 15
in
Others
by
soujanyareddy13
(
100
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gate2019ec
gaussiannoise
0
votes
0
answers
29
GATE2019 EC: 33
Let the statespace representation of an LTI system be $x(t)=A x(t)+B u(t), y(t)=Cx(t)+du(t)$ where $A,B,C$ are matrices, $d$ is a scalar, $u(t)$ is the input to the system, and $y(t)$ is its output. Let $B=[0\quad0\quad1]^{T}$ ... $A=\begin{bmatrix} 0&1&0\\ 0&0&1\\3&2&1 \\\end{bmatrix} \text{and} \quad C=\begin{bmatrix} 0&0&1 \end{bmatrix}$
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Apr 15
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soujanyareddy13
(
100
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gate2019ec
continuoustimesignals
signalsandsystems
ltisystems
0
votes
0
answers
30
GATE2019 EC: 32
The block diagram of a system is illustrated in the figure shown, where $X(s)$ is the input and $Y(s)$ is the output. The transfer function $H(s)=\dfrac{Y(s)}{X(s)}$ is $H(s)=\frac{s^{2}+1}{s^{3}+s^{2}+s+1}$ $H(s)=\frac{s^{2}+1}{s^{3}+2s^{2}+s+1}$ $H(s)=\frac{s+1}{s^{2}+s+1}$ $H(s)=\frac{s^{2}+1}{2s^{2}+1}$
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Apr 15
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by
soujanyareddy13
(
100
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gate2019ec
networksolutionmethods
networks
transferfunction
0
votes
0
answers
31
GATE2019 EC: 31
Consider a causal secondorder system with the transfer function $G(s)=\dfrac{1}{1+2s+s^{2}}$ with a unitstep $R(s)=\dfrac{1}{s}$ as an input. Let $C(s)$ be the corresponding output. The time taken by the system output $c(t)$ to reach $94\%$ of its steadystate value $\underset{t\rightarrow \infty}{\lim}\:c(t),$ rounded off to two decimal places, is $5.25$ $4.50$ $3.89$ $2.81$
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100
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gate2019ec
networksolutionmethods
networks
transferfunction
0
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0
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32
GATE2020EC: 51
For the solid $\text{S}$ shown below, the value of $\int \int_{S} \int$xdxdydz$ (rounded off to two decimal places) is _______________.
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gate2020ec
numericalanswers
engineeringmathematics
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0
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33
GATE2020EC: 55
Consider the following closed loop control system where $G\left ( s \right )=\frac{1}{s\left ( s+1 \right )}$ and $C\left ( s \right )=K\frac{s+1}{s+3}$. If the steady state error for a unit ramp input is $0.1,$ then the value of $\text{K}$ is ______________.
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gate2020ec
numericalanswers
networksolutionmethods
steadystateerror
0
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0
answers
34
GATE2020EC: 53
The transfer function of a stable discretetime $\text{LTI}$ system is $H\left ( z \right )=\frac{K\left ( z\alpha \right )}{z+0.5},$ where $\text{K}$ and $\alpha$ are real numbers. The value of $\alpha$ (rounded off to one decimal place) with $\left  \alpha \right > 1$ , for which the magnitude response of the system is constant over all frequencies, is ___________.
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gate2020ec
numericalanswers
networksolutionmethods
networks
transferfunction
0
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0
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35
GATE2020EC: 52
$X\left ( \omega \right )$ is the Fourier transform of $\text{x(t)}$ shown below. The value of $\int_{\infty }^{\infty }\left  X\left ( \omega \right ) \right ^{2}d\omega$ (rounded off to two decimal places) is _________________.
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100
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gate2020ec
numericalanswers
continuoustimesignals
signalsandsystems
fouriertransform
0
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0
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36
GATE2020EC: 50
For the components in the sequential circuit shown below, $t_{pd}$ is the propagation delay, $t_{setup}$ is the setuptime, and $t_{hold}$ is the hold time. The maximum clock frequency (rounded off to the nearest integer), at which the given circuit can operate reliably, is _________$\text{MHz}$.
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gate2020ec
numericalanswers
electromagnetics
propagationdelay
0
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0
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37
GATE2020EC: 49
A system with transfer function $G\left ( s \right )=\frac{1}{\left ( s+1 \right )\left ( s+a \right )},\:\:a> 0$ is subjected to an input $5\cos3t.$ The steady state output of the system is $\frac{1}{\sqrt{10}}\cos\left ( 3t1.892 \right ).$ The value of $\text{a}$ is _______.
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gate2020ec
numericalanswers
networksolutionmethods
networks
transferfunction
0
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0
answers
38
GATE2020EC: 48
In a digital communication system, a symbol $\text{S}$ randomly chosen from the set $\left \{ s_{1},s_{2},s_{3},s_{4} \right \}$ is transmitted. It is given that $s_{1}=3,s_{2}=1,s_{3}=+1$ and $s_{4}=+2$. The received symbol ... when the transmitted symbol $S=s_{i}$. The index $\text{i}$ for which the conditional symbol error probability $P_{i}$ is the highest is ___________.
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gate2020ec
numericalanswers
digitalcommunications
0
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0
answers
39
GATE2020EC: 47
$S_{PM}(t)$ and $S_{FM}(t)$ as defined below, are the phase modulated and the frequency modlated waveforms, respectively, corresponding to the message signal $\text{m(t)}$ ... of $S_{PM}(t)$ and $S_{FM}(t)$ are same, then the value of the ratio $\frac{k_{p}}{k_{f}}$ is ________ seconds.
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soujanyareddy13
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100
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gate2020ec
numericalanswers
communications
modulatedwaveforms
0
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0
answers
40
GATE2019 EC: 30
In the circuit shown, if $v(t)=2 \sin(1000\: t)$ volts, $R=1\:k \Omega$ and $C=1\:\mu F,$ then the steadystate current $i(t)$, milliamperes (mA), is $\sin(1000\: t)+ \cos(1000\: t)$ $2 \sin(1000\: t) +2 \cos(1000\: t)$ $3 \sin(1000\: t) + \cos(1000\: t)$ $\sin(1000\: t) +3 \cos(1000\: t)$
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soujanyareddy13
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100
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gate2019ec
networksolutionmethods
networks
steadystate
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