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Recent questions tagged gate2000-ec

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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}$$a e^{n t}+b e^{bt}$
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GATE ECE 2000 | Question 1.2
In the given circuit, the value of the voltage source $\mathrm{E}$ is $-16 \mathrm{~V}$ $4 \mathrm{~V}$ $-6 \mathrm{~V}$ $16 \mathrm{~V}$
In the given circuit, the value of the voltage source $\mathrm{E}$ is$-16 \mathrm{~V}$$4 \mathrm{~V}$$-6 \mathrm{~V}$$16 \mathrm{~V}$
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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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GATE ECE 2000 | Question 1.4
In the differential amplifer of the figure, if the source resistance of the current source $I_{E E}$ is infinite, then the common-mode gain is zero infinite indeterminate $\frac{\mathrm{V}_{m 1}+\mathrm{V}_{m 2}}{2 \mathrm{V}_{\mathrm{T}}}$
In the differential amplifer of the figure, if the source resistance of the current source $I_{E E}$ is infinite, then the common-mode gain iszeroinfiniteindeterminate$\f...
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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}$$+15 \mathrm{~V}$
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GATE ECE 2000 | Question 1.6
Introducing a resistor in the emitter of a common amplifier stabilizes the $\text{dc}$ operating point against variations in only the temperature only the $\beta$ of the transistor both temperature and $\beta$ none of these
Introducing a resistor in the emitter of a common amplifier stabilizes the $\text{dc}$ operating point against variations inonly the temperatureonly the $\beta$ of the tr...
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GATE ECE 2000 | Question 1.7
The current gain of a bipolar transistor drops at high frequencies because of transistor capacitances high current effects in the base parasitic inductive elements the Early effect
The current gain of a bipolar transistor drops at high frequencies because oftransistor capacitanceshigh current effects in the baseparasitic inductive elementsthe Early ...
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GATE ECE 2000 | Question 1.8
An amplifier with resistive negative feedback has two left half plane poles in its open-loop transfer function. The amplifier will always be unstable at high frequencies will be stable for all frequencies may be unstable, depending on the feedback factor will oscillate at low frequencies
An amplifier with resistive negative feedback has two left half plane poles in its open-loop transfer function. The amplifierwill always be unstable at high frequencieswi...
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GATE ECE 2000 | Question 1.9
If the $\text{op-amp}$ in figure is ideal, then $v_{0}$ is zero $\left(\mathrm{V}_{1}-\mathrm{V}_{2}\right) \sin \omega t$ $-\left(V_{1}+V_{2}\right) \sin \omega t$ $\left(\mathrm{V}_{1}+\mathrm{V}_{2}\right) \sin \omega t$
If the $\text{op-amp}$ in figure is ideal, then $v_{0}$ iszero$\left(\mathrm{V}_{1}-\mathrm{V}_{2}\right) \sin \omega t$$-\left(V_{1}+V_{2}\right) \sin \omega t$$\left(\m...
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GATE ECE 2000 | Question 1.10
The configuration of given figure is a precision integrator Hartley oscillator Butterworth high pass filter Wien-bridge oscillator
The configuration of given figure is aprecision integratorHartley oscillatorButterworth high pass filterWien-bridge oscillator
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GATE ECE 2000 | Question 1.11
Assume that the $\text{on-amp}$ of the figure is ideal. If $\text{vi}$ is a triangular wave, then $\text{vo}$ will be square wave triangular wave parabolic wave sine wave
Assume that the $\text{on-amp}$ of the figure is ideal. If $\text{vi}$ is a triangular wave, then $\text{vo}$ will besquare wavetriangular waveparabolic wavesine wave
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GATE ECE 2000 | Question 1.12
The Fourier Transform of the signal $x(t)=\mathrm{e}^{-3 \mathrm{t}^{2}}$ is of the following form, where $A$ and $B$ are constants $\mathrm{A} e^{-\mathrm{B}|f|}$ $\mathrm{A} e^{-\mathrm{B} f}$ $\mathrm{A}+\mathrm{B}|f|^{2}$ $\mathrm{A} e^{-B f}$
The Fourier Transform of the signal $x(t)=\mathrm{e}^{-3 \mathrm{t}^{2}}$ is of the following form, where $A$ and $B$ are constants$\mathrm{A} e^{-\mathrm{B}|f|}$$\mathrm...
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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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GATE ECE 2000 | Question 1.14
The amplitude modulated wave form $s(t)=A_{c}\left[1+K_{a} m(t)\right] \cos \omega_{c} t$ is fed to an ideal envelope detector. The maximum magnitude of $\mathrm{K}_{0} m(t)$ is greater than $1$ ... $\mathrm{A}_{c}\left[1+\mathrm{K}_{a} m(t)\right]^{2}$
The amplitude modulated wave form $s(t)=A_{c}\left[1+K_{a} m(t)\right] \cos \omega_{c} t$ is fed to an ideal envelope detector. The maximum magnitude of $\mathrm{K}_{0} m...
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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$$13$
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GATE ECE 2000 | Question 1.17
The most commonly used amplifier in sample and hold circuits is a unity gain inverting amplifier a unity gain non-inverting amplifier an inverting amplifier with a gain of $10$ an inverting amplifier with a gain of $100$
The most commonly used amplifier in sample and hold circuits isa unity gain inverting amplifiera unity gain non-inverting amplifieran inverting amplifier with a gain of $...
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GATE ECE 2000 | Question 1.18
The number of comparators in a $4$ bit flash $\text{ADC}$ is $4$ $5$ $15$ $16$
The number of comparators in a $4$ bit flash $\text{ADC}$ is$4$$5$$15$$16$
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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$$0,1,1$
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GATE ECE 2000 | Question 1.20
In the $8085$ microprocessor, the $\text{RST6}$ instruction transfers the program execution to the following location: $30 \mathrm{~H}$ $24 \mathrm{~H}$ $48 \mathrm{~H}$ $60 \mathrm{~H}$
In the $8085$ microprocessor, the $\text{RST6}$ instruction transfers the program execution to the following location:$30 \mathrm{~H}$$24 \mathrm{~H}$$48 \mathrm{~H}$$60 ...
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GATE ECE 2000 | Question 1.21
The magnitudes of the open-circuit and short-circuit input impedance of a transmission line are $100 \; \Omega$ and $25 \; \Omega$ respectively. The characteristic impedance of the line is, $25 \; \Omega$ $50 \; \Omega$ $75 \; \Omega$ $100 \; \Omega$
The magnitudes of the open-circuit and short-circuit input impedance of a transmission line are $100 \; \Omega$ and $25 \; \Omega$ respectively. The characteristic impeda...
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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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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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GATE ECE 2000 | Question 1.24
If the diameter of a $\frac{\lambda}{2}$ dipole antenna is increased $\operatorname{from} \frac{\lambda}{100}$ to $\frac{\lambda}{50}$, then its bandwidth increases bandwidth decreases gain increases gain decreases
If the diameter of a $\frac{\lambda}{2}$ dipole antenna is increased $\operatorname{from} \frac{\lambda}{100}$ to $\frac{\lambda}{50}$, then itsbandwidth increasesbandwid...
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GATE ECE 2000 | Question 1.25
The circuit of the figure represents a low pass filter high pass filter band pass filter band reject filter
The circuit of the figure represents alow pass filterhigh pass filterband pass filterband reject filter
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GATE ECE 2000 | Question 2.1
The eigen values of the matrix $\left[\begin{array}{rrrr}2 & -1 & 0 & 0 \\ 0 & 3 & 0 & 0 \\ 0 & 0 & -2 & 0 \\ 0 & 0 & -1 & 4\end{array}\right]$ are $2,-2,1,-1$ $2, 3, -2, 4$ $2,3,1,4$ None of these
The eigen values of the matrix $\left[\begin{array}{rrrr}2 & -1 & 0 & 0 \\ 0 & 3 & 0 & 0 \\ 0 & 0 & -2 & 0 \\ 0 & 0 & -1 & 4\end{array}\right]$ are$2,-2,1,-1$$2, 3, -2, 4...
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GATE ECE 2000 | Question 2.2
Use the data of the figure. The current $i$ in the circuit of the figure is $-2 \mathrm{~A}$ $2 \mathrm{~A}$ $-4 \mathrm{~A}$ $+4 \mathrm{~A}$
Use the data of the figure. The current $i$ in the circuit of the figure is$-2 \mathrm{~A}$$2 \mathrm{~A}$$-4 \mathrm{~A}$$+4 \mathrm{~A}$
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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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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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GATE ECE 2000 | Question 2.5
In the circuit of the figure, assume that the transistor is in active region. It has a large $\beta$ and its base-emitter voltage is $0.7 \mathrm{~V}$. The value of $\mathrm{I}_{\mathrm{c}}$ is Indeterminate since $R$, is not given $1 \mathrm{~mA}$ $5 \mathrm{~m} A$ $10 \mathrm{~mA}$
In the circuit of the figure, assume that the transistor is in active region. It has a large $\beta$ and its base-emitter voltage is $0.7 \mathrm{~V}$. The value of $\mat...
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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}$$5...
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GATE ECE 2000 | Question 2.7
For the logic circuit shown in, the simplified Boolean expression for the output $Y$ is $\mathrm{A}+\mathrm{B}+\mathrm{C}$ $\mathrm{A}$ $\mathrm{B}$ $\mathrm{C}$
For the logic circuit shown in, the simplified Boolean expression for the output $Y$ is$\mathrm{A}+\mathrm{B}+\mathrm{C}$$\mathrm{A}$$\mathrm{B}$$\mathrm{C}$
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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}$$8 \mathrm{~V}$
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GATE ECE 2000 | Question 2.11
In given figure, the $J$ and $K$ inputs of all the four Flip-Flips are made high. The frequency of the signal at output $Y$ is $0.833 \; \mathrm{kHz}$ $1.0 \; \mathrm{kHz}$ $0.91 \; \mathrm{kHz}$ $0.77 \; \mathrm{kHz}$
In given figure, the $J$ and $K$ inputs of all the four Flip-Flips are made high. The frequency of the signal at output $Y$ is$0.833 \; \mathrm{kHz}$$1.0 \; \mathrm{kHz}$...
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GATE ECE 2000 | Question 2.13
Let $u(t)$ be the step function. Which of the Waveforms in given figure, $(a)$ - $(d)$ corresponds to the convolution of $u(t)-u(t-1)$ with $u(t)-u(t-2)$ ?
Let $u(t)$ be the step function. Which of the Waveforms in given figure, $(a)$ - $(d)$ corresponds to the convolution of $u(t)-u(t-1)$ with $u(t)-u(t-2)$ ?
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GATE ECE 2000 | Question 2.14
In given figure, the steady state output voltage corresponding to the input voltage $3+4 \sin 100 t \mathrm{~V}$ is $3+\frac{4}{\sqrt{2}} \sin \left(100 t-\frac{\pi}{4}\right) \mathrm{V}$ $3+4 \sqrt{2} \sin \left(100 t-\frac{\pi}{4}\right) \mathrm{V}$ ... $3+4 \sin \left(100 t \div \frac{\pi}{4}\right) \mathrm{V}$
In given figure, the steady state output voltage corresponding to the input voltage $3+4 \sin 100 t \mathrm{~V}$ is$3+\frac{4}{\sqrt{2}} \sin \left(100 t-\frac{\pi}{4}\ri...
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GATE ECE 2000 | Question 2.16
A message $m(t)$ bandlimited to the frequency $f_{m}$ has a power of $P_{m}$. The power of the output signal in given figure is $\frac{\mathrm{P}_{m} \cos \theta}{2}$ $\frac{\mathrm{P}_{m}}{4}$ $\frac{P_{m} \sin ^{2} \theta}{4}$ $\frac{P_{m} \cos ^{2} \theta}{4}$
A message $m(t)$ bandlimited to the frequency $f_{m}$ has a power of $P_{m}$. The power of the output signal in given figure is$\frac{\mathrm{P}_{m} \cos \theta}{2}$$\fra...
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