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82
GATE ECE 2023 | Question: 9
For a $\text{MOS}$ capacitor, $\text{V}_{\mathrm{fb}}$ and $\text{V}_{\mathrm{t}}$ are the flat-band voltage and the threshold voltage, respectively. The variation of the depletion width $\left(\mathrm{W}_{\mathrm{dep}}\right)$ for varying gate voltage $\left(\text{V}_g\right)$ is best represented by
For a $\text{MOS}$ capacitor, $\text{V}_{\mathrm{fb}}$ and $\text{V}_{\mathrm{t}}$ are the flat-band voltage and the threshold voltage, respectively. The variation of the...
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2 answers
83
GATE ECE 2008 | Question: 28
In the Taylor series expansion of $\exp (x)+\sin (x)$ about the point $x=\pi$, the coefficient of $(x-\pi)^{2}$ is $\exp (\pi)$ $0.5 \exp (\pi)$ $\exp (\pi)+1$ $\exp (\pi)-1$
In the Taylor series expansion of $\exp (x)+\sin (x)$ about the point $x=\pi$, the coefficient of $(x-\pi)^{2}$ is$\exp (\pi)$$0.5 \exp (\pi)$$\exp (\pi)+1$$\exp (\pi)-1$...
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85
GATE ECE 2024 | Question: 44
Let $F_{1}, F_{2}$, and $F_{3}$ be functions of $(x, y, z)$. Suppose that for every given pair of points $A$ and $B$ in space, the line integral $\int_{C}\left(F_{1} \mathrm{~d} x+F_{2} \mathrm{~d} y+F_{3} \mathrm{~d} z\right)$ evaluates to ...
Let $F_{1}, F_{2}$, and $F_{3}$ be functions of $(x, y, z)$. Suppose that for every given pair of points $A$ and $B$ in space, the line integral $\int_{C}\left(F_{1} \mat...
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86
GATE ECE 2011 | Question: 16
The root locus plot for a system is given below. The open loop transfer function corresponding to this plot is given by $G(s) H(s)=k \frac{s(s+1)}{(s+2)(s+3)}$ $G(s) H(s)=k \frac{(s+1)}{s(s+2)(s+3)^2}$ $G(s) H(s)=k \frac{1}{s(s-1)(s+2)(s+3)}$ $G(s) H(s)=k \frac{(s+1)}{s(s+2)(s+3)}$
The root locus plot for a system is given below. The open loop transfer function corresponding to this plot is given by$G(s) H(s)=k \frac{s(s+1)}{(s+2)(s+3)}$$G(s) H(s)=k...
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87
GATE ECE 2023 | Question: 16
Consider a system with input $x(t)$ and output $y(t)=x\left(e^{t}\right)$. The system is Causal and time invariant. Non-causal and time varying. Causal and time varying. Non-causal and time invariant.
Consider a system with input $x(t)$ and output $y(t)=x\left(e^{t}\right)$. The system isCausal and time invariant.Non-causal and time varying.Causal and time varying.Non-...
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88
GATE ECE 2024 | Question: 43
Consider a system $S$ represented in state space as \[ \frac{d x}{d t}=\left[\begin{array}{ll} 0 & -2 \\ 1 & -3 \end{array}\right] x+\left[\begin{array}{l} 1 \\ 0 \end{array}\right] r, y=\left[\begin{array}{ll} 2 & -5 \end{array}\ ...
Consider a system $S$ represented in state space as\[\frac{d x}{d t}=\left[\begin{array}{ll}0 & -2 \\1 & -3\end{array}\right] x+\left[\begin{array}{l}1 \\0\end{array}\rig...
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1 answer
93
GATE ECE 2023 | Question: 45
The value of the integral $\iint_R \text{xy dx dy}$ over the region $R$, given in the figure, __________ is (rounded off to the nearest integer).
The value of the integral $\iint_R \text{xy dx dy}$ over the region $R$, given in the figure, __________ is (rounded off to the nearest integer).
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94
TIFR ECE 2023 | Question: 3
Let \[ \mathcal{P}=\left\{(x, y): x+y \geq 1,2 x+y \geq 2, x+2 y \geq 2,(x-1)^{2}+(y-1)^{2} \leq 1\right\} . \] Compute \[ \min _{(x, y) \in \mathcal{P}} 2 x+3 y \] $2$ $3$ $4$ $6$ None of the above
Let\[\mathcal{P}=\left\{(x, y): x+y \geq 1,2 x+y \geq 2, x+2 y \geq 2,(x-1)^{2}+(y-1)^{2} \leq 1\right\} .\]Compute\[\min _{(x, y) \in \mathcal{P}} 2 x+3 y\]$2$$3$$4$$6$N...
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95
GATE ECE 2021 | Question: 34
A digital transmission system uses a ($7,4$) systematic linear Hamming code for transmitting data over a noisy channel. If three of the message-codeword pairs in this code ($\text{m}_{i}$ ; $\text{c}_{i}$), where $\text{c}_{i}$ is the ... $\text{valid codeword}$ in this code? $1101001$ $1011010$ $0001011$ $0110100$
A digital transmission system uses a ($7,4$) systematic linear Hamming code for transmitting data over a noisy channel. If three of the message-codeword pairs in this cod...
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96
GATE ECE 2005 | Question: 3
A fair dice is rolled twice. The probability that an odd number will follow an even number is $\frac{1}{2}$ $\frac{1}{6}$ $\frac{1}{3}$ $\frac{1}{4}$
A fair dice is rolled twice. The probability that an odd number will follow an even number is$\frac{1}{2}$$\frac{1}{6}$$\frac{1}{3}$$\frac{1}{4}$
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99
GATE ECE 2008 | Question: 22
The driving point impedance of the following network is given by $Z(s)=\frac{0.2 s}{s^{2}+0.1 s+2}$. The component values are $\begin{array}{lll} \mathrm{L}=5 \mathrm{~H}, & \mathrm{R}=0.5 \; \Omega, & \mathrm{C}=0.1 \mathrm{~F} \end{array}$ ...
The driving point impedance of the following networkis given by $Z(s)=\frac{0.2 s}{s^{2}+0.1 s+2}$. The component values are$\begin{array}{lll} \mathrm{L}=5 \mathrm{~H}, ...
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100
GATE ECE 1991 | Question 1.5
The pole-zero pattern of a certain filter is shown in the figure below. The filter must be of the following type. low pass high pass all pass band pass
The pole-zero pattern of a certain filter is shown in the figure below. The filter must be of the following type.low passhigh passall passband pass
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103
GATE ECE 1994 | Question 2.7
The forward dynamic resistance of a junction diode varies ________ as the forward current.
The forward dynamic resistance of a junction diode varies ________ as the forward current.
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105
GATE ECE 2005 | Question: 34
The value of the integral $\text{I}=\frac{1}{\sqrt{2 \pi}} \int_{0}^{\infty} \exp \left(-\frac{x^{2}}{8}\right)$ $d x$ is $1$ $\pi$ $2$ $2 \pi$
The value of the integral $\text{I}=\frac{1}{\sqrt{2 \pi}} \int_{0}^{\infty} \exp \left(-\frac{x^{2}}{8}\right)$ $d x$ is$1$$\pi$$2$$2 \pi$
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106
GATE ECE 1994 | Question 2.9
In order to reduce the harmonic distortion in an amplifier, its dynamic range has to be ___________.
In order to reduce the harmonic distortion in an amplifier, its dynamic range has to be ___________.
1 votes
1 answer
107
GATE ECE 2011 | Question: 18
If the unit step response of a network is $\left(1-e^{-\alpha t}\right)$, then its unit impulse response is $\alpha e^{-\alpha t}$ $\alpha^{-1} e^{-\alpha t}$ $\left(1-\alpha^{-1}\right) e^{-\alpha t}$ $(1-\alpha) e^{-\alpha t}$
If the unit step response of a network is $\left(1-e^{-\alpha t}\right)$, then its unit impulse response is$\alpha e^{-\alpha t}$$\alpha^{-1} e^{-\alpha t}$$\left(1-\alph...
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110
GATE ECE 2021 | Question: 19
Consider the circuit shown in the figure. The value of $v_{0}$ (rounded off to one decimal place) is _________ $V$.
Consider the circuit shown in the figure.The value of $v_{0}$ (rounded off to one decimal place) is _________ $V$.
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112
GATE ECE 2023 | Question: 8
A series $\text{RLC}$ circuit has a quality factor $\text{Q}$ of $1000$ at a center frequency of $10^{6} \; \mathrm{rad} / \mathrm{s}$. The possible values of $\text{R, L}$ and $\text{C}$ are $R=1 \; \Omega, L=1 \; \mu H$ and $C=1 \; \mu F$ ... $C=1 \; \mu F$ $R=0.001 \; \Omega, L=1 \; \mu H$ and $C=1 \; \mu F$
A series $\text{RLC}$ circuit has a quality factor $\text{Q}$ of $1000$ at a center frequency of $10^{6} \; \mathrm{rad} / \mathrm{s}$. The possible values of $\text{R,...
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113
GATE ECE 2023 | Question: 30
In the circuit shown below, $D_1$ and $D_2$ are silicon diodes with cut-in voltage of $0.7 \mathrm{~V}$. $\mathrm{V}_{\mathrm{IN}}$ and $\mathrm{V}_{\mathrm{OUT}}$ are input and output voltages in volts. The transfer characteristic is
In the circuit shown below, $D_1$ and $D_2$ are silicon diodes with cut-in voltage of $0.7 \mathrm{~V}$. $\mathrm{V}_{\mathrm{IN}}$ and $\mathrm{V}_{\mathrm{OUT}}$ are in...
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114
GATE ECE 2004 | Question: 22
The Fourier transform of a conjugate symmetric function is always imaginary conjugate anti-symmetric real conjugate symmetric
The Fourier transform of a conjugate symmetric function is alwaysimaginaryconjugate anti-symmetricrealconjugate symmetric
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116
GATE ECE 2023 | Question: 17
Let $m(t)$ be a strictly band-limited signal with bandwidth $B$ and energy $E$. Assuming $\omega_{0}=10 B$, the energy in the $m(t) \cos \omega_{0} t$ is $\frac{E}{4}$ $\frac{E}{2}$ $E$ $2E$
Let $m(t)$ be a strictly band-limited signal with bandwidth $B$ and energy $E$. Assuming $\omega_{0}=10 B$, the energy in the $m(t) \cos \omega_{0} t$ is$\frac{E}{4}$$\f...
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117
GATE ECE 2000 | Question 2.11
In given figure, the $J$ and $K$ inputs of all the four Flip-Flips are made high. The frequency of the signal at output $Y$ is $0.833 \; \mathrm{kHz}$ $1.0 \; \mathrm{kHz}$ $0.91 \; \mathrm{kHz}$ $0.77 \; \mathrm{kHz}$
In given figure, the $J$ and $K$ inputs of all the four Flip-Flips are made high. The frequency of the signal at output $Y$ is$0.833 \; \mathrm{kHz}$$1.0 \; \mathrm{kHz}$...
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118
GATE ECE 1996 | Question 2.9
Value of $R$ in the oscillator circuit shown in the given figure, so chosen that it just oscillates at an angular frequency of $\omega$. The value of $\omega$ and the required value of $R$ ... $10^{5} \; \mathrm{rad} / \mathrm{sec}, 10^{5} \; \Omega$
Value of $R$ in the oscillator circuit shown in the given figure, so chosen that it just oscillates at an angular frequency of $\omega$. The value of $\omega$ and the req...
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119
GATE ECE 2023 | Question: 27
The value of the line integral $\int_{P}^{Q}\left(z^{2} d x+3 y^{2} d y+2 x z \; d z\right)$ along the straight line joining the points $P(1,1,2)$ and $Q(2,3,1)$ is $20$ $24$ $29$ $-5$
The value of the line integral $\int_{P}^{Q}\left(z^{2} d x+3 y^{2} d y+2 x z \; d z\right)$ along the straight line joining the points $P(1,1,2)$ and $Q(2,3,1)$ is$20$$2...
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120
GATE ECE 2003 | Question: 44
If $\mathrm{P}$ is Passivation, $\mathrm{Q}$ is $n$-well implant, $\mathrm{R}$ is metallization and $S$ is source/drain diffusion, then the order in which they are carried out in a standard $n$-well CMOS fabrication process, is P-Q-R-S Q-S-R-P R-P-S-Q S-R-Q-P
If $\mathrm{P}$ is Passivation, $\mathrm{Q}$ is $n$-well implant, $\mathrm{R}$ is metallization and $S$ is source/drain diffusion, then the order in which they are carrie...
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