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481
GATE ECE 1997 | Question 5.1
In the case of a linear time invariant system (1) Poles in the right half plane implies Exponential decay of output (2) Impulse response zero for $t \leq 0$ implies System is casual No stored energy in the system System is unstable.
In the case of a linear time invariant system(1) Poles in the right half plane implies Exponential decay of output(2) Impulse response zero for $t \leq 0$ impliesSystem i...
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482
GATE ECE 2000 | Question 1.19
For the logic circuit shown in the figure is the required input condition $(A, B, C)$ to make the output $(X)=1$ is $1,0,1$ $0,0,1$ $1,1,1$ $0,1,1$
For the logic circuit shown in the figure is the required input condition $(A, B, C)$ to make the output $(X)=1$ is$1,0,1$$0,0,1$$1,1,1$$0,1,1$
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483
GATE ECE 1997 | Question 17
For a typical $n-p-n$ transistor, as shown in the figure we have the following data available $\mathrm{W}_{\mathrm{C}}=20 \mu \mathrm{m}$ and Collcetor doping $=5 \times 10^{18} / \mathrm{cc}$ $\mathrm{W}_{\mathrm{E}}=1 \mu \mathrm{m}$ ...
For a typical $n-p-n$ transistor, as shown in the figure we have the following data available$\mathrm{W}_{\mathrm{C}}=20 \mu \mathrm{m}$ and Collcetor doping $=5 \times 1...
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484
GATE ECE 1997 | Question 4.10
The boolean function $\mathrm{A}+\mathrm{BC}$ is a reduced form of $\mathrm{AB}+\mathrm{BC}$ $(\mathrm{A}+\mathrm{B}) \cdot(\mathrm{A}+\mathrm{C})$ $\overline{\mathrm{A}} \mathrm{B}+\mathrm{A} \overline{\mathrm{B}} \mathrm{C}$ $(\mathrm{A}+\mathrm{C}) \cdot \mathrm{B}$
The boolean function $\mathrm{A}+\mathrm{BC}$ is a reduced form of$\mathrm{AB}+\mathrm{BC}$$(\mathrm{A}+\mathrm{B}) \cdot(\mathrm{A}+\mathrm{C})$$\overline{\mathrm{A}} \m...
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485
GATE ECE 2000 | Question 1.12
The Fourier Transform of the signal $x(t)=\mathrm{e}^{-3 \mathrm{t}^{2}}$ is of the following form, where $A$ and $B$ are constants $\mathrm{A} e^{-\mathrm{B}|f|}$ $\mathrm{A} e^{-\mathrm{B} f}$ $\mathrm{A}+\mathrm{B}|f|^{2}$ $\mathrm{A} e^{-B f}$
The Fourier Transform of the signal $x(t)=\mathrm{e}^{-3 \mathrm{t}^{2}}$ is of the following form, where $A$ and $B$ are constants$\mathrm{A} e^{-\mathrm{B}|f|}$$\mathrm...
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490
GATE ECE 1997 | Question 26
Find the mean of a function $X(T)=\sin ^{2}(\alpha T)$, where $\alpha$ is a constant, and $T$ is a random variable. The $p d f$ of $\mathrm{T}$ is given by, \[ \begin{aligned} f(T) &=e^{-T} \text { for } T \geq 0 \\ &=0 \text { for } T<0 \end{aligned} \]
Find the mean of a function $X(T)=\sin ^{2}(\alpha T)$, where $\alpha$ is a constant, and $T$ is a random variable. The $p d f$ of $\mathrm{T}$ is given by,\[\begin{align...
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491
GATE ECE 1997 | Question 5.4
(1) Wave tilt Under-water propagation (2) Faraday Rotation Ground wave propagation Space wave propagation Ionospheric propagation
(1) Wave tiltUnder-water propagation(2) Faraday RotationGround wave propagationSpace wave propagationIonospheric propagation
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492
GATE ECE 2000 | Question 1.23
The frequency range for satellite communication is $1 \; \mathrm{kHz}$ to $100\; \mathrm{kHz}$ $100 \; \mathrm{kHz}$ to $10 \; \mathrm{kHz}$ $10 \; \mathrm{MHz}$ to $30 \; \mathrm{MHz}$ $1 \; \mathrm{GHz}$ to $30 \; \mathrm{GHz}$
The frequency range for satellite communication is$1 \; \mathrm{kHz}$ to $100\; \mathrm{kHz}$$100 \; \mathrm{kHz}$ to $10 \; \mathrm{kHz}$$10 \; \mathrm{MHz}$ to $30 \; \...
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493
GATE ECE 2000 | Question 1.22
A $\text{TEM}$ wave is incident normally upon a perfect conductor. The $\mathrm{E}$ and $\mathrm{H}$ fields at the boundary will be, respectively, minimum and minimum maximum and maximum minimum and maximum maximum and minimum
A $\text{TEM}$ wave is incident normally upon a perfect conductor. The $\mathrm{E}$ and $\mathrm{H}$ fields at the boundary will be, respectively,minimum and minimummaxim...
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495
GATE ECE 2000 | Question 1.16
The number of hardware interrupts (which require an external signal to interrupt) present in an $8085$ microprocessor are $1$ $4$ $5$ $13$
The number of hardware interrupts (which require an external signal to interrupt) present in an $8085$ microprocessor are$1$$4$$5$$13$
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496
GATE ECE 2000 | Question 1.6
Introducing a resistor in the emitter of a common amplifier stabilizes the $\text{dc}$ operating point against variations in only the temperature only the $\beta$ of the transistor both temperature and $\beta$ none of these
Introducing a resistor in the emitter of a common amplifier stabilizes the $\text{dc}$ operating point against variations inonly the temperatureonly the $\beta$ of the tr...
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497
GATE ECE 2000 | Question 1.17
The most commonly used amplifier in sample and hold circuits is a unity gain inverting amplifier a unity gain non-inverting amplifier an inverting amplifier with a gain of $10$ an inverting amplifier with a gain of $100$
The most commonly used amplifier in sample and hold circuits isa unity gain inverting amplifiera unity gain non-inverting amplifieran inverting amplifier with a gain of $...
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498
GATE ECE 2000 | Question 2.6
if the $\text{op-amp}$ in given figure, has an input offset voltage of $5 \; \mathrm{mV}$ and an open-loop voltage gain of $10,000,$ then $v_{0}$ will be $0 \mathrm{~V}$ $5 \; \mathrm{mV}$ $+15 \mathrm{~V}$ or $-15 \mathrm{~V}$ $+50 \mathrm{~V}$ or $-50 \mathrm{~V}$
if the $\text{op-amp}$ in given figure, has an input offset voltage of $5 \; \mathrm{mV}$ and an open-loop voltage gain of $10,000,$ then $v_{0}$ will be$0 \mathrm{~V}$$5...
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499
GATE ECE 2000 | Question 1.13
A system with an input $x(t)$ and output $y(t)$ is described by the relation. $y(t)=t x(t)$. This system is linear and time-invariant linear and time varying non-linear and time-invariant non-linear and time-varying
A system with an input $x(t)$ and output $y(t)$ is described by the relation. $y(t)=t x(t)$. This system islinear and time-invariantlinear and time varyingnon-linear and ...
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500
GATE ECE 2000 | Question 2.8
For the $4$ bit $\text{DAC}$ shown, the output voltage $v_{0}$ is $10 \mathrm{~V}$ $5 \mathrm{~V}$ $4 \mathrm{~V}$ $8 \mathrm{~V}$
For the $4$ bit $\text{DAC}$ shown, the output voltage $v_{0}$ is$10 \mathrm{~V}$$5 \mathrm{~V}$$4 \mathrm{~V}$$8 \mathrm{~V}$
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501
GATE ECE 2000 | Question 2.3
For the circuit in the figure, the voltage $v_{0}$ is $2 \mathrm{~V}$ $\text{1 V}$ $-1 \mathrm{~V}$ None of these
For the circuit in the figure, the voltage $v_{0}$ is$2 \mathrm{~V}$$\text{1 V}$$-1 \mathrm{~V}$None of these
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502
GATE ECE 2000 | Question 1.2
In the given circuit, the value of the voltage source $\mathrm{E}$ is $-16 \mathrm{~V}$ $4 \mathrm{~V}$ $-6 \mathrm{~V}$ $16 \mathrm{~V}$
In the given circuit, the value of the voltage source $\mathrm{E}$ is$-16 \mathrm{~V}$$4 \mathrm{~V}$$-6 \mathrm{~V}$$16 \mathrm{~V}$
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503
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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504
GATE ECE 2000 | Question 1.5
In the given circuit, $V_{0}$ is $-1 \mathrm{~V}$ $2 \mathrm{~V}$ $+1 \mathrm{~V}$ $+15 \mathrm{~V}$
In the given circuit, $V_{0}$ is$-1 \mathrm{~V}$$2 \mathrm{~V}$$+1 \mathrm{~V}$$+15 \mathrm{~V}$
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505
GATE ECE 1999 | Question 2.9
An amplifier is assumed to have a single-pole high-frequency transfer function. The rise time of its output response to a step function input is $35\;\text{nsec}$. The upper $-3 \; d B$ frequency (in $\text{MHz}$) for the amplifier to a sinusoidal input is approximately at $4.55$ $10$ $20$ $28.6$
An amplifier is assumed to have a single-pole high-frequency transfer function. The rise time of its output response to a step function input is $35\;\text{nsec}$. The up...
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506
GATE ECE 1999 | Question 1.6
The first dominant pole encountered in the frequency response of a compensated $\text{op - amp}$ is approximately at $5 \; \mathrm{~Hz}$ $10 \; \mathrm{kHz}$ $1 \; \mathrm{MHz}$ $100 \; \mathrm{MHz}$
The first dominant pole encountered in the frequency response of a compensated $\text{op - amp}$ is approximately at$5 \; \mathrm{~Hz}$$10 \; \mathrm{kHz}$$1 \; \mathrm{M...
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507
GATE ECE 2000 | Question 1.9
If the $\text{op-amp}$ in figure is ideal, then $v_{0}$ is zero $\left(\mathrm{V}_{1}-\mathrm{V}_{2}\right) \sin \omega t$ $-\left(V_{1}+V_{2}\right) \sin \omega t$ $\left(\mathrm{V}_{1}+\mathrm{V}_{2}\right) \sin \omega t$
If the $\text{op-amp}$ in figure is ideal, then $v_{0}$ iszero$\left(\mathrm{V}_{1}-\mathrm{V}_{2}\right) \sin \omega t$$-\left(V_{1}+V_{2}\right) \sin \omega t$$\left(\m...
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508
GATE ECE 2000 | Question 1.1
In the given circuit, the voltage $\text{v(t)}$ is $e^{\text {nt }}-e^{b t}$ $e^{\text {nt }}+e^{b t}$ $a e^{n t}-b e^{b t}$ $a e^{n t}+b e^{bt}$
In the given circuit, the voltage $\text{v(t)}$ is$e^{\text {nt }}-e^{b t}$$e^{\text {nt }}+e^{b t}$$a e^{n t}-b e^{b t}$$a e^{n t}+b e^{bt}$
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510
GATE ECE 2000 | Question 2.4
A linear time invariant system has an impulse response $e^{2 t}, t>0$. If the initial conditions are zero and the input is $e^{3 t}$, then output for $t>0$ is $e^{3 t}-e^{2 t}$ $\mathrm{e}^{5 t}$ $e^{3 t}+e^{2 t}$ None of these
A linear time invariant system has an impulse response $e^{2 t}, t>0$. If the initial conditions are zero and the input is $e^{3 t}$, then output for $t>0$ is$e^{3 t}-e^{...
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511
GATE ECE 2000 | Question 9
The block diagram of a feedback system is shown in the figure. Find the closed loop transfer function. Find the minimum value of $G$ for which the step response of the system would exhibit an overshoot, as shown in figure. For G equal to twice this minimum value, find the time period $T$ indicated in the figure.
The block diagram of a feedback system is shown in the figure.Find the closed loop transfer function.Find the minimum value of $G$ for which the step response of the syst...
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513
GATE ECE 1999 | Question 1.1
Identify which of the following is $\text{NOT}$ a true of the graph shown in the given figure is $begh$ $defg$ $adfg$ $aegh$
Identify which of the following is $\text{NOT}$ a true of the graph shown in the given figure is$begh$$defg$$adfg$$aegh$
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514
GATE ECE 2000 | Question 1.20
In the $8085$ microprocessor, the $\text{RST6}$ instruction transfers the program execution to the following location: $30 \mathrm{~H}$ $24 \mathrm{~H}$ $48 \mathrm{~H}$ $60 \mathrm{~H}$
In the $8085$ microprocessor, the $\text{RST6}$ instruction transfers the program execution to the following location:$30 \mathrm{~H}$$24 \mathrm{~H}$$48 \mathrm{~H}$$60 ...
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515
GATE ECE 2000 | Question 1.18
The number of comparators in a $4$ bit flash $\text{ADC}$ is $4$ $5$ $15$ $16$
The number of comparators in a $4$ bit flash $\text{ADC}$ is$4$$5$$15$$16$
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516
GATE ECE 2000 | Question 1.3
Given that $\mathcal{L}[f(t)]=\frac{s+2}{s^2+1}, \mathcal{L}[f(t)]=\frac{s^2+1}{(s+3)(s+2)}, $ $h(t)=\int_0^1 f(\tau) g(t-\tau) d \tau, \mathcal{L}[h(t)]$ is $\frac{s^2+1}{s+3}$ $\frac{1}{s+3}$ $\frac{s^2+1}{(s+3)(s+2)}+\frac{s+2}{s^2+1}$ None of these
Given that$\mathcal{L}[f(t)]=\frac{s+2}{s^2+1}, \mathcal{L}[f(t)]=\frac{s^2+1}{(s+3)(s+2)}, $ $h(t)=\int_0^1 f(\tau) g(t-\tau) d \tau, \mathcal{L}[h(t)]$ is$\frac{s^2+1}{...
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517
GATE ECE 2001 | Question: 2.12
The digital block in the figure, realized using two positive edge triggered D-flip-flops. Assume that for that for $t < t_{0}, Q_{1} =Q_{2} = 0.$ The circuit in the digital block is given by
The digital block in the figure, realized using two positive edge triggered D-flip-flops. Assume that for that for $t < t_{0}, Q_{1} =Q_{2} = 0.$ The circuit in the digit...
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518
GATE ECE 2000 | Question 2.10
The contents of Register $\text{(B)}$ and Accumulator $\text{(A)}$ of $8085$ microprocessor are $49 \mathrm{H}$ and $3 \mathrm{AH}$ respectively. The contents of $\mathrm{A}$ and the slatus of carry flag $(C Y)$ and sign flag $(S)$ after executing $\text{SUB B}$ ... $\mathrm{A}=1 \mathrm{F}, \mathrm{CY}=1, \text{S}=1$
The contents of Register $\text{(B)}$ and Accumulator $\text{(A)}$ of $8085$ microprocessor are $49 \mathrm{H}$ and $3 \mathrm{AH}$ respectively. The contents of $\mathrm...
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519
GATE ECE 1999 | Question 1.11
A Darlington emitter - follower circuit is sometimes used in the output stage of a $\text{TTL}$ gate in order to increase its $\mathrm{I}_{\mathrm{OL}}$ reduce its $\mathrm{I}_{\mathrm{OH}}$ increase its speed of operation reduce power dissipation
A Darlington emitter - follower circuit is sometimes used in the output stage of a $\text{TTL}$ gate in order toincrease its $\mathrm{I}_{\mathrm{OL}}$reduce its $\mathrm...
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520
GATE ECE 1999 | Question 1.17
The phase margin (in degrees) of a system having the loop transfer function \[ \mathrm{G}(s) \mathrm{H}(s)=\frac{2 \sqrt{3}}{s(s+1)} \text { is } \] $45^{\circ}$ $-30^{\circ}$ $60^{\circ}$ $30^{\circ}$
The phase margin (in degrees) of a system having the loop transfer function\[\mathrm{G}(s) \mathrm{H}(s)=\frac{2 \sqrt{3}}{s(s+1)} \text { is }\]$45^{\circ}$$-30^{\circ}$...
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