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2522
GATE ECE 2010 | Question: 8
In the silicon $\text{BJT}$ circuit shown below, assume that the emitter area of transistor $\text{Q1}$ is half that of transistor $\text{Q2.}$ The value of current $\text{I}_0$ is approximately $0.5 \mathrm{~mA}$ $2 \mathrm{~mA}$ $9.3 \mathrm{~mA}$ $15 \mathrm{~mA}$
In the silicon $\text{BJT}$ circuit shown below, assume that the emitter area of transistor $\text{Q1}$ is half that of transistor $\text{Q2.}$The value of current $\text...
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2523
GATE ECE 2010 | Question: 17
The transfer function $\text{Y(s) / R(s)}$ of the system shown is $0$ $\frac{1}{\text{s}+1}$ $\frac{2}{\text{s}+1}$ $\frac{2}{\text{s}+3}$
The transfer function $\text{Y(s) / R(s)}$ of the system shown is$0$$\frac{1}{\text{s}+1}$$\frac{2}{\text{s}+1}$$\frac{2}{\text{s}+3}$
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2527
GATE ECE 2000 | Question 18
A bandlimited signal $x(t)$ with $a^{\prime}$ spectrum $X(f)$ as shown in first figure is processed as shown in second figure is $p(t)$ ... Fourier Transform of $p(t)$. Obtain and sketch the spectrum of $x_{s}(t)$. Obtain and sketch the spectrum of $y(t)$.
A bandlimited signal $x(t)$ with $a^{\prime}$ spectrum $X(f)$ as shown in first figure is processed as shown in second figure is $p(t)$ is a periodic train of impulses as...
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2528
GATE ECE 2001 | Question: 2.25
In a uniform linear array, four isotropic radiating elements are spaced $\frac{\lambda}{4}$ apart. The progressive phase shift between the elements required for forming the main beam at $60^{\circ}$ off the end-fire is $-\pi$ radians $-\frac{\pi}{2}$ radians $-\frac{\pi}{4}$ radians $-\frac{\pi}{8}$ radians
In a uniform linear array, four isotropic radiating elements are spaced $\frac{\lambda}{4}$ apart. The progressive phase shift between the elements required for forming t...
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2529
GATE ECE 2006 | Question: 68
When a plane wave travelling in free-space is incident normally on a medium having $\varepsilon_{t}=4.0$, then fraction of power transmitted into the medium is given by $\frac{8}{9}$ $\frac{1}{2}$ $\frac{1}{3}$ $\frac{5}{6}$
When a plane wave travelling in free-space is incident normally on a medium having $\varepsilon_{t}=4.0$, then fraction of power transmitted into the medium is given by$\...
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2530
GATE ECE 1993 | Question 6.5
If $s^{3}+3 s^{2}+4 s+A=0$, then all the roots of this equation are in the left half plane provided that $\mathrm{A}>12$ $-3<\mathrm{A}<4$ $0<\mathrm{A}<12$ $5<\mathrm{A}<12$
If $s^{3}+3 s^{2}+4 s+A=0$, then all the roots of this equation are in the left half plane provided that$\mathrm{A}>12$$-3<\mathrm{A}<4$$0<\mathrm{A}<12$$5<\mathrm{A}<12$...
1 votes
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2532
GATE ECE 2010 | Question: 62
If $137+276=435$ how much is $731+672?$ $534$ $1403$ $1623$ $1513$
If $137+276=435$ how much is $731+672?$ $534$$1403$$1623$$1513$
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2533
GATE ECE 1991 | Question 4
The current $I$ in a forward biased $P^{+} N$ junction shown in figure (a) is entirely due to diffusion of holes from $x=0$ to $x=L$. The injected hole concentration distribution in the $m$ ... coefficient holes is $12 \mathrm{~cm}^2 / \mathrm{sec}$. (b) The velocity of holes in the $n$-region at $x=0$.
The current $I$ in a forward biased $P^{+} N$ junction shown in figure (a) is entirely due to diffusion of holes from $x=0$ to $x=L$. The injected hole concentration dist...
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2536
TIFR ECE 2010 | Question: 9
The $z$-transform of a sequence $\left\{x_{n}\right\}_{n=-\infty}^{\infty}$ is defined to be $X(z)=\sum_{n=-\infty}^{\infty} x_{n} z^{-n}$. The $z$-transform of the sequence $y_{n}=x_{2 n+1}$ is $Y(z)=z(X(z)-X(-z)) / 2$ ... $Y(z)=z(X(\sqrt{z})-X(-\sqrt{z})) / 2$ $Y(z)=(X(\sqrt{z})-X(-\sqrt{z})) / 2$
The $z$-transform of a sequence $\left\{x_{n}\right\}_{n=-\infty}^{\infty}$ is defined to be $X(z)=\sum_{n=-\infty}^{\infty} x_{n} z^{-n}$. The $z$-transform of the seque...
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2537
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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2538
GATE ECE 2000 | Question 3
For the circuit in given figure, Find the Thevenin equivalent of the sub circuit faced by the capacitor across the terminals $a, b$. Find $v_{c}(t), t>0$, given $v_{c}(0)=0$. Find $i(t), t>0$.
For the circuit in given figure, Find the Thevenin equivalent of the sub circuit faced by the capacitor across the terminals $a, b$.Find $v_{c}(t), t>0$, given $v_{c}(0)=...
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2539
GATE ECE 2000 | Question 17
(a) The program and machine code for an $8085$ ... $\text{LDA} \; 2000 \; \mathrm{H}$ (c) Write an instruction which takes the minimum possible time to clear the accumulator of the $8085$.
(a) The program and machine code for an $8085$ microprocessor are given by$\begin{array}{lll}3 \mathrm{E} & \text {MVI} & \text {A} \\ \text {C3} & & \\ 00 & \text {NOP} ...
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2540
GATE ECE 2001 | Question: 2.3
When the angular frequency $\omega$ in the figure, varied from $0$ to $\infty$, the locus of the current phasor $\mathrm{I}_{2}$ is given by
When the angular frequency $\omega$ in the figure, varied from $0$ to $\infty$, the locus of the current phasor $\mathrm{I}_{2}$ is given by
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2541
GATE ECE 2001 | Question: 2.19
The Nyquist sampling interval, for the signal $\text{Sin c } (700 t)+\text{Sin c } (500 t)$ is $\frac{1}{350} \mathrm{sec}$ $\frac{\pi}{350} \sec$ $\frac{1}{700} \mathrm{sec}$ $\frac{\pi}{175} \mathrm{sec}$
The Nyquist sampling interval, for the signal $\text{Sin c } (700 t)+\text{Sin c } (500 t)$ is$\frac{1}{350} \mathrm{sec}$$\frac{\pi}{350} \sec$$\frac{1}{700} \mathrm{sec...
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2542
GATE ECE 1998 | Question 2.8
The advantage of using a dual slope $\text{ADC}$ in a digital voltmeter is that its conversion time is small its accuracy is high it gives output in $\text{BCD}$ format it does not require a comparator
The advantage of using a dual slope $\text{ADC}$ in a digital voltmeter is thatits conversion time is smallits accuracy is highit gives output in $\text{BCD}$ formatit do...
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2543
GATE ECE 2005 | Question: 48
The $\text{OP-amp}$ circuit shown in the figure is a filter. The type of filter and its cut-off frequency are respectively high pass, $1000 \; \mathrm{rad/sec}$. low pass, $1000 \; \mathrm{rad/sec}$. high pass, $10000 \; \mathrm{rad/sec}$. low pass, $10000 \; \mathrm{rad/sec}$.
The $\text{OP-amp}$ circuit shown in the figure is a filter. The type of filter and its cut-off frequency are respectivelyhigh pass, $1000 \; \mathrm{rad/sec}$.low pass, ...
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2544
GATE ECE 1995 | Question 1.30
A switch-tail ring counter is made by using a single $\text{D}$ flip-flop. The resulting circuit is a $\text{SR}$ flip-flop $\text{JK}$ flip-flop $\text{D}$ flip-flop $\text{T}$ flip-flop
A switch-tail ring counter is made by using a single $\text{D}$ flip-flop. The resulting circuit is a$\text{SR}$ flip-flop$\text{JK}$ flip-flop$\text{D}$ flip-flop$\text{...
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2545
GATE ECE 1993 | Question 3.16
A light beam of frequency $1.2 \times 10^{15} \mathrm{~Hz}$ is incident on a metal in a photoelectric effect experiment. The corresponding maximum kinetic energy of the ejeted photoelectrons from the metal is $6.63 \times 10^{-19} \mathrm{~J}$. The characteristic cut-off frequency of the metal is _______ $\text{Hz}$.
A light beam of frequency $1.2 \times 10^{15} \mathrm{~Hz}$ is incident on a metal in a photoelectric effect experiment. The corresponding maximum kinetic energy of the e...
1 votes
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2546
GATE ECE 2010 | Question: 1
The eigenvalues of a skew-symmetric matrix are always zero always pure imaginary either zero or pure imaginary always real
The eigenvalues of a skew-symmetric matrix arealways zeroalways pure imaginaryeither zero or pure imaginaryalways real
1 votes
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2547
GATE ECE 2010 | Question: 64
Given digits $2,2,3,3,3,4,4,4,4$ how many distinct $4$ digit numbers greater than $3000$ can be formed? $50$ $51$ $52$ $54$
Given digits $2,2,3,3,3,4,4,4,4$ how many distinct $4$ digit numbers greater than $3000$ can be formed?$50$$51$$52$$54$
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2548
GATE ECE 1992 | Question 1.24
Given figure shows the circuit of a gate in the Resistor Transistor Logic $\text{(RTL)}$ family. The circuit represents a $\text{NAND}$ $\text{AND}$ $\text{NOR}$ $\mathrm{OR}$
Given figure shows the circuit of a gate in the Resistor Transistor Logic $\text{(RTL)}$ family. The circuit represents a$\text{NAND}$$\text{AND}$$\text{NOR}$$\mathrm{OR}...
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2549
GATE ECE 1999 | Question 11
The circuit diagram of a synchronous counter is shown in the given figure. Determine the sequence of states of the counter assuming that the initial state is '$000$ ... . From the table, determine the modulus of the counter.
The circuit diagram of a synchronous counter is shown in the given figure. Determine the sequence of states of the counter assuming that the initial state is '$000$'. Giv...
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2550
GATE ECE 2001 | Question: 1.22
A transmission line is distortionless if $\mathrm{RL}=\frac{1}{\mathrm{GC}}$ $\mathrm{RL}=\mathrm{GC}$ $\mathrm{LG}=\mathrm{RC}$ $\mathrm{RG}=\mathrm{LC}$
A transmission line is distortionless if$\mathrm{RL}=\frac{1}{\mathrm{GC}}$$\mathrm{RL}=\mathrm{GC}$$\mathrm{LG}=\mathrm{RC}$$\mathrm{RG}=\mathrm{LC}$
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2551
GATE ECE 2001 | Question: 3
This section consists of TWENTY questions of FIVE marks each. ANY FIFTEEN out of these questions have to be answered in the Answer Book provided. For the circuit shown in the figure, determine the phasors $\mathrm{E}_{2}, \mathrm{E}_{0}, \mathrm{I}$, and $\mathrm{I}_{1}$.
This section consists of TWENTY questions of FIVE marks each. ANY FIFTEEN out of these questions have to be answered in the Answer Book provided.For the circuit shown in ...
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2552
GATE ECE 2003 | Question: 51
Three identical amplifiers with each one having a voltage gain of $50,$ input resistance of $1 \mathrm{~K} \Omega$ and output resistance of $250 \; \Omega$, are cascaded. The open circuit voltage gain of the combined amplifier is $49 \mathrm{~dB}$ $51 \mathrm{~dB}$ $98 \mathrm{~dB}$ $102 \mathrm{~dB}$
Three identical amplifiers with each one having a voltage gain of $50,$ input resistance of $1 \mathrm{~K} \Omega$ and output resistance of $250 \; \Omega$, are cascaded....
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2554
GATE ECE 2003 | Question: 68
The signal flow graph of a system is shown in the figure. The transfer function $\frac{C(s)}{R(s)}$ of the system is $\frac{6}{s^{2}+29 s+6}$ $\frac{6 s}{s^{2}+29 s+6}$ $\frac{s(s+2)}{s^{2}+29 s+6}$ $\frac{s(s+27)}{s^{2}+29 s+6}$
The signal flow graph of a system is shown in the figure. The transfer function $\frac{C(s)}{R(s)}$ of the system is$\frac{6}{s^{2}+29 s+6}$$\frac{6 s}{s^{2}+29 s+6}$$\fr...
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2555
GATE ECE 1995 | Question 1.13
$e^{A t}$ can be expanded as $\sum_{k=0}^{\infty} \frac{\mathrm{A}^{k} t^{k}}{(k+1) !}$ $\sum_{k=0}^{\infty} \frac{\mathrm{A}^{k} t^{k}}{k !}$ $\sum_{k=0}^{\infty} \frac{\mathrm{A}^{k} t^{k+1}}{(k+1) !}$ $\sum_{k=0}^{\infty} \frac{\mathrm{A}^{k} t^{k+1}}{k !}$
$e^{A t}$ can be expanded as$\sum_{k=0}^{\infty} \frac{\mathrm{A}^{k} t^{k}}{(k+1) !}$$\sum_{k=0}^{\infty} \frac{\mathrm{A}^{k} t^{k}}{k !}$$\sum_{k=0}^{\infty} \frac{\ma...
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2556
GATE ECE 1996 | Question 2.18
The critical frequency of an ionospheric layer is $10 \; \mathrm{MHz}$. What is the maximum launching angle from the horizon for which $20 \; \mathrm{MHz}$ wave will be reflected by the layer? $0^{\circ}$ $30^{\circ}$ $45^{\circ}$ $90^{\circ}$
The critical frequency of an ionospheric layer is $10 \; \mathrm{MHz}$. What is the maximum launching angle from the horizon for which $20 \; \mathrm{MHz}$ wave will be r...
1 votes
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2557
GATE ECE 2007 | Question: 3
For $|x| \ll 1$, $\operatorname{coth}(x)$ can be approximated as $x$ $x^2$ $\frac{1}{x}$ $\frac{1}{x^2}$
For $|x| \ll 1$, $\operatorname{coth}(x)$ can be approximated as$x$$x^2$$\frac{1}{x}$$\frac{1}{x^2}$
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2558
GATE ECE 1992 | Question 1.35
Source encoding in a data communication system is done is order to enhance the information transmission rate reduce the transmission errors conserve the transmitted power facilitate clock recovery in the receiver.
Source encoding in a data communication system is done is order toenhance the information transmission ratereduce the transmission errorsconserve the transmitted powerfac...
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2559
GATE ECE 2000 | Question 2.17
The Hilbert transform of $\cos \omega_{1} t+\sin \omega_{2} t$ is $\sin \omega_{1} t-\cos \omega_{2} t$ $\sin \omega_{1} t+\cos \omega_{2} t$ $\cos \omega_{1} t-\sin \omega_{2} t$ $\sin \omega_{1} t+\sin \omega_{2} t$
The Hilbert transform of $\cos \omega_{1} t+\sin \omega_{2} t$ is$\sin \omega_{1} t-\cos \omega_{2} t$$\sin \omega_{1} t+\cos \omega_{2} t$$\cos \omega_{1} t-\sin \omega_...
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2560
GATE ECE 1999 | Question 1.24
Indicate which one of the following will $\text{NOT}$ exist in a rectangular resonant cavity. $\mathrm{TE}_{110}$ $\mathrm{TE}_{011}$ $\mathrm{TM}_{110}$ $\mathrm{TM}_{111}$
Indicate which one of the following will $\text{NOT}$ exist in a rectangular resonant cavity.$\mathrm{TE}_{110}$$\mathrm{TE}_{011}$$\mathrm{TM}_{110}$$\mathrm{TM}_{111}$
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