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409
GATE ECE 1997 | Question 14
A sequence generator is shown in the figure is The counter status $\left(\mathrm{Q}_{0^{\prime}}, \mathrm{Q}_{1}, \mathrm{Q}_{2}\right)$ is initialised to $010$ ... rising clock edge. Give the sequence generate at $\mathrm{Q}_{0}$ till it repeats. What is the repetition rate of the generated sequence?
A sequence generator is shown in the figure is The counter status $\left(\mathrm{Q}_{0^{\prime}}, \mathrm{Q}_{1}, \mathrm{Q}_{2}\right)$ is initialised to $010$ using pre...
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412
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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414
GATE ECE 1997 | Question 19
An $\text{IC}$ $555$ ... for the configuration chosen. If necessary you can suggest modification in the external circuit configuration.
An $\text{IC}$ $555$ chip has been used to construct a pulse-Generator. Typical pin connections with components is shown below in the figure is for such an application. H...
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415
GATE ECE 1997 | Question 20
An $8085 \; \mu \mathrm{P}$ uses a $2 \; \mathrm{MHz}$ ... used above take $(3 n+1)$ clock cycles, where $n$ is the number of accesses to the memory, inclusive of the opcode fetch.
An $8085 \; \mu \mathrm{P}$ uses a $2 \; \mathrm{MHz}$ crystal. Find the time taken by it to execute the following delay subroutine, inclusive of the call instruction in ...
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416
GATE ECE 1997 | Question 21
In the figure is a linear time invariant discrete systme is shown. Blocks labelled $D$ represent unit delay elements. For $n<0$, you may assume that $x$ (n), $y_{1}(n), y_{2}(n)$ are all zero. Find the expression for $y_{1}(n)$ and $y_{2}(n)$ ... $y_{2}(n)$
In the figure is a linear time invariant discrete systme is shown. Blocks labelled $D$ represent unit delay elements. For $n<0$, you may assume that $x$ (n), $y_{1}(n), y...
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417
GATE ECE 1997 | Question 22
In the circuit of figure when $R=0 \; \Omega$, the current $i_{k}$ equals $10 \mathrm{~A}$ Find the value of $R$ for which it absorbs maximum power Find the value of $\varepsilon$ Find $V_{2}$ when $R=\infty$ (open circuit)
In the circuit of figure when $R=0 \; \Omega$, the current $i_{k}$ equals $10 \mathrm{~A}$Find the value of $R$ for which it absorbs maximum powerFind the value of $\vare...
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420
GATE ECE 1997 | Question 25
A block diagram of a system is shown in the figure is draw the spectrum of the output signal with relative aptitudes of the frequencies.
A block diagram of a system is shown in the figure is draw the spectrum of the output signal with relative aptitudes of the frequencies.
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421
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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424
GATE ECE 1997 | Question 29
A uniform plane wave is normally incident from air on an infinitely thick magnetic material with relative permeability $100$ and relative permittivity $4$ see the figure is. The wave has an electric field of $1 \mathrm{V}$, meter $\text{(rms)}$. Find the average pointing vector inside the material.
A uniform plane wave is normally incident from air on an infinitely thick magnetic material with relative permeability $100$ and relative permittivity $4$ see the figure ...
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425
GATE ECE 1997 | Question 30
A dipole antenna has a $\sin \theta$ radiation pattern where the angle $\theta$ ... in the radiation pattern at an angle of $45^{\circ}$ from the ground plane? Find the direction of maximum radiation also.
A dipole antenna has a $\sin \theta$ radiation pattern where the angle $\theta$ is measured from the axis of the dipole. The dipole is vertically located above an ideal g...
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426
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}$$a e^{n t}+b e^{bt}$
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427
GATE ECE 2000 | Question 1.2
In the given circuit, the value of the voltage source $\mathrm{E}$ is $-16 \mathrm{~V}$ $4 \mathrm{~V}$ $-6 \mathrm{~V}$ $16 \mathrm{~V}$
In the given circuit, the value of the voltage source $\mathrm{E}$ is$-16 \mathrm{~V}$$4 \mathrm{~V}$$-6 \mathrm{~V}$$16 \mathrm{~V}$
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428
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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429
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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430
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}$$+15 \mathrm{~V}$
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431
GATE ECE 2000 | Question 1.6
Introducing a resistor in the emitter of a common amplifier stabilizes the $\text{dc}$ operating point against variations in only the temperature only the $\beta$ of the transistor both temperature and $\beta$ none of these
Introducing a resistor in the emitter of a common amplifier stabilizes the $\text{dc}$ operating point against variations inonly the temperatureonly the $\beta$ of the tr...
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432
GATE ECE 2000 | Question 1.7
The current gain of a bipolar transistor drops at high frequencies because of transistor capacitances high current effects in the base parasitic inductive elements the Early effect
The current gain of a bipolar transistor drops at high frequencies because oftransistor capacitanceshigh current effects in the baseparasitic inductive elementsthe Early ...
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433
GATE ECE 2000 | Question 1.8
An amplifier with resistive negative feedback has two left half plane poles in its open-loop transfer function. The amplifier will always be unstable at high frequencies will be stable for all frequencies may be unstable, depending on the feedback factor will oscillate at low frequencies
An amplifier with resistive negative feedback has two left half plane poles in its open-loop transfer function. The amplifierwill always be unstable at high frequencieswi...
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434
GATE ECE 2000 | Question 1.9
If the $\text{op-amp}$ in figure is ideal, then $v_{0}$ is zero $\left(\mathrm{V}_{1}-\mathrm{V}_{2}\right) \sin \omega t$ $-\left(V_{1}+V_{2}\right) \sin \omega t$ $\left(\mathrm{V}_{1}+\mathrm{V}_{2}\right) \sin \omega t$
If the $\text{op-amp}$ in figure is ideal, then $v_{0}$ iszero$\left(\mathrm{V}_{1}-\mathrm{V}_{2}\right) \sin \omega t$$-\left(V_{1}+V_{2}\right) \sin \omega t$$\left(\m...
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435
GATE ECE 2000 | Question 1.10
The configuration of given figure is a precision integrator Hartley oscillator Butterworth high pass filter Wien-bridge oscillator
The configuration of given figure is aprecision integratorHartley oscillatorButterworth high pass filterWien-bridge oscillator
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436
GATE ECE 2000 | Question 1.11
Assume that the $\text{on-amp}$ of the figure is ideal. If $\text{vi}$ is a triangular wave, then $\text{vo}$ will be square wave triangular wave parabolic wave sine wave
Assume that the $\text{on-amp}$ of the figure is ideal. If $\text{vi}$ is a triangular wave, then $\text{vo}$ will besquare wavetriangular waveparabolic wavesine wave
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437
GATE ECE 2000 | Question 1.12
The Fourier Transform of the signal $x(t)=\mathrm{e}^{-3 \mathrm{t}^{2}}$ is of the following form, where $A$ and $B$ are constants $\mathrm{A} e^{-\mathrm{B}|f|}$ $\mathrm{A} e^{-\mathrm{B} f}$ $\mathrm{A}+\mathrm{B}|f|^{2}$ $\mathrm{A} e^{-B f}$
The Fourier Transform of the signal $x(t)=\mathrm{e}^{-3 \mathrm{t}^{2}}$ is of the following form, where $A$ and $B$ are constants$\mathrm{A} e^{-\mathrm{B}|f|}$$\mathrm...
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438
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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439
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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