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1321
GATE ECE 1994 | Question 3.4
A $p$-type silicon sample has a higher conductivity compared to an $n$-type sample having the same dopant concentration.
A $p$-type silicon sample has a higher conductivity compared to an $n$-type sample having the same dopant concentration.
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1322
GATE ECE 1994 | Question 3.5
Channel current is reduced on application of a more positive voltage to the gate of a depletion mode $n$-channel $\text{MOSFET}$.
Channel current is reduced on application of a more positive voltage to the gate of a depletion mode $n$-channel $\text{MOSFET}$.
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1323
GATE ECE 1994 | Question 3.6
The look-ahead carry adder is a parallel carry adder where all sum digits are generated directly from the input digits.
The look-ahead carry adder is a parallel carry adder where all sum digits are generated directly from the input digits.
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1324
GATE ECE 1994 | Question 3.7
In the output stage of a standard $\text{TTL}$, have a diode between the emitter of the pull-up transistor and the collector of the pull-down transistor. The purpose of this diode is to isolate the output node from the power supply $V_{\alpha^{\circ}}$
In the output stage of a standard $\text{TTL}$, have a diode between the emitter of the pull-up transistor and the collector of the pull-down transistor. The purpose of t...
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1325
GATE ECE 1994 | Question 3.8
Pulse-width modulated signals are immune to noise since their amplitude is constant.
Pulse-width modulated signals are immune to noise since their amplitude is constant.
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1326
GATE ECE 1994 | Question 3.9
Noise figure of an amplifier is always greater than $1$ .
Noise figure of an amplifier is always greater than $1$ .
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1327
GATE ECE 1994 | Question 3.10
If a pure resistance load, when connected to a lossless $75$ – ohm line, produces a $\text{VSWR}$ of $3$ on the line, then the load impedance can only be $25$ ohms.
If a pure resistance load, when connected to a lossless $75$ – ohm line, produces a $\text{VSWR}$ of $3$ on the line, then the load impedance can only be $25$ ohms.
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1328
GATE ECE 1994 | Question 4.1
(A) $a_{1} \frac{d^{2} y}{d x^{2}}+a_{2} y \frac{d y}{d x}+a_{3} y=a_{4}$ (B) $a_{1} \frac{d^{3} y}{d x^{3}}+a_{2} y=a_{3}$ ... Non-liner differential equation Linear differential equation with constant coefficients Linear homogeneous differential equation Non-linear homogeneous differential equation Non-linear first order differential equation
(A) $a_{1} \frac{d^{2} y}{d x^{2}}+a_{2} y \frac{d y}{d x}+a_{3} y=a_{4}$(B) $a_{1} \frac{d^{3} y}{d x^{3}}+a_{2} y=a_{3}$(C) $a_{1} \frac{d^{2} y}{d x^{2}}+a_{2} x \frac...
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1329
GATE ECE 1994 | Question 4.2
The response of an $\text{LCR}$ circuit to a step input is If the transfer function has (1) poles on the (A) over damped negative real axis (2) poles on the (B) critically damped imaginary axis (3) multiple poles on (C) oscillatory the positive realaxis (4) poles on the positive real axis (5) multiple poles on the negative real axis
The response of an $\text{LCR}$ circuit to a step input is If the transfer function has(1) poles on the(A) over damped negative real axis(2) poles on the(B) critically da...
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1330
GATE ECE 1994 | Question 4.3
(A) Very low response at very high frequencies (B) Over shoot (C) Synchro-control transformer output Low-pass systems Velocity damping Natural frequency Phase-sensitive modulation Damping ratio
(A) Very low response at very high frequencies(B) Over shoot(C) Synchro-control transformer outputLow-pass systemsVelocity dampingNatural frequencyPhase-sensitive modulat...
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1331
GATE ECE 1994 | Question 4.4
(A) The current gain of a $\text{BJT}$ will be increased if (B) The current gain of a $\text{BJT}$ will be reduced if (C) The break-down voltage of a $\text{BJT}$ will be reduced if The collector ... concentration is increased keeping the ratio of the emitter doping concentration to base doping concentration, constant. The collector doping concentration is reduced.
(A) The current gain of a $\text{BJT}$ will be increased if(B) The current gain of a $\text{BJT}$ will be reduced if(C) The break-down voltage of a $\text{BJT}$ will be r...
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1332
GATE ECE 1994 | Question: 4.5
(A) Hartley (1) Low frequency oscillator (B) Wien-bridge (2) High frequency oscillator (C) Crystal (3) Stable frequency oscillator (4) Relaxation frequency oscillator (5) Negative resistance oscillator
(A) Hartley(1) Low frequency oscillator(B) Wien-bridge(2) High frequency oscillator(C) Crystal(3) Stable frequency oscillator (4) Relaxation frequency oscillator (5) Nega...
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1333
GATE ECE 1994 | Question: 4.6
Type of $\mathrm{ADC}$ (A) Successive approximation (1) $1$ (B) Dual-slope (2) $8$ (C) Parallel Comparator (3) $16$ (4) $256$ (5) $512$ Maximum conversion for $8$-bit $\text{ADC}$ in clock cycles.
Type of $\mathrm{ADC}$(A) Successive approximation(1) $1$(B) Dual-slope(2) $8$(C) Parallel Comparator(3) $16$ (4) $256$ (5) $512$ Maximum conversion for $8$-bit $\text{AD...
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1334
GATE ECE 1994 | Question 4.7
(a) Single side band (1) Envelope detector (b) Amplitude (2) Integrate and dump modulation (c) Binary phase-shift (3) Hilbert transform keying (4) Ratio detector (5) Phase-locked loop
(a) Single side band(1) Envelope detector(b) Amplitude(2) Integrate and dump modulation(c) Binary phase-shift(3) Hilbert transform keying (4) Ratio detector (5) Phase-loc...
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1335
GATE ECE 1994 | Question 4.8
(A) $\overrightarrow{\mathrm{V}} \times \overrightarrow{\mathrm{H}}=\overrightarrow{\mathrm{J}}$ (1)Continuity equation (B) $\int_{c} \vec{E} \cdot \overrightarrow{a_{t}}=-\frac{d}{f} \int \vec{B} \cdot \overrightarrow{d s}$ (2) Faraday's ... (3) Ampere's Law (4) Gauss's law (5) Biot-Savart law
(A) $\overrightarrow{\mathrm{V}} \times \overrightarrow{\mathrm{H}}=\overrightarrow{\mathrm{J}}$(1)Continuity equation(B) $\int_{c} \vec{E} \cdot \overrightarrow{a_{t}}=-...
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1336
GATE ECE 2007 | Question: 1
If $E$ denotes expectation, the variance of a random variable $X$ is given by $E\left[X^2\right]-E^2[X]$ $E\left[X^2\right]+E^2[X]$ $E\left[X^2\right]$ $E^2[X]$
If $E$ denotes expectation, the variance of a random variable $X$ is given by$E\left[X^2\right]-E^2[X]$$E\left[X^2\right]+E^2[X]$$E\left[X^2\right]$$E^2[X]$
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1337
GATE ECE 2007 | Question: 2
The following plot shows a function $y$ which varies linearly with $x$. The value of the integral $I=\displaystyle{}\int_1^2 y d x$ is $1.0$ $2.5$ $4.0$ $5.0$
The following plot shows a function $y$ which varies linearly with $x$. The value of the integral $I=\displaystyle{}\int_1^2 y d x$ is$1.0$$2.5$$4.0$$5.0$
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1338
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}$$\frac{1}{x^2}$
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1339
GATE ECE 2007 | Question: 4
$\displaystyle{}\lim _{\theta \rightarrow 0} \frac{\sin (\theta / 2)}{\theta}$ is $0.5$ $1$ $2$ not defined
$\displaystyle{}\lim _{\theta \rightarrow 0} \frac{\sin (\theta / 2)}{\theta}$ is$0.5$$1$$2$not defined
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1340
GATE ECE 2007 | Question: 5
Which one of the following functions is strictly bounded? $\frac{1}{x^2}$ $e^x$ $x^2$ $e^{-x^2}$
Which one of the following functions is strictly bounded?$\frac{1}{x^2}$$e^x$$x^2$$e^{-x^2}$
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1341
GATE ECE 2007 | Question: 6
For the function $e^{-x}$, the linear approximation around $x=2$ is $(3-x) e^{-2}$ $1-x$ $[3+2 \sqrt{2}-\left(1+\sqrt{2}\right) x] e^{-2}$ $e^{-2}$
For the function $e^{-x}$, the linear approximation around $x=2$ is$(3-x) e^{-2}$$1-x$$[3+2 \sqrt{2}-\left(1+\sqrt{2}\right) x] e^{-2}$$e^{-2}$
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1342
GATE ECE 2007 | Question: 7
An independent voltage source in series with an impedance $\mathbf{Z}_{\mathrm{s}}=R_{\mathrm{s}}+j X_{\mathrm{s}}$ delivers a maximum average power to a load impedance $\mathbf{Z}_{\mathrm{L}}$ when $\mathbf{Z}_{\mathrm{L}}=R_{\mathrm{S}}+j X_s$ $\mathbf{Z}_{\mathrm{L}}=R_{\mathrm{S}}$ $\mathbf{Z}_{\mathrm{L}}=j X_s$ $\mathbf{Z}_{\mathrm{L}}=R_{\mathrm{S}}-j X_s$
An independent voltage source in series with an impedance $\mathbf{Z}_{\mathrm{s}}=R_{\mathrm{s}}+j X_{\mathrm{s}}$ delivers a maximum average power to a load impedance $...
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1343
GATE ECE 2007 | Question: 8
The $RC$ circuit shown in the figure is a low-pass filter a high-pass filter a band-pass filter a band-reject filter
The $RC$ circuit shown in the figure isa low-pass filtera high-pass filtera band-pass filtera band-reject filter
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1344
GATE ECE 2007 | Question: 9
The electron and hole concentrations in an intrinsic semiconductor are $n_i$ per $\mathrm{cm}^3$ at $300 \mathrm{~K}$. Now, if acceptor impurities are introduced with a concentration of $N_A$ per $\mathrm{cm}^3$ (where $N_A \gg n_i$ ), the electron concentration per $\mathrm{cm}^3$ at $300 \mathrm{~K}$ will be $n_{i}$ $n_i+N_A$ $N_A-n_{i}$ $\frac{n_i^2}{N_A}$
The electron and hole concentrations in an intrinsic semiconductor are $n_i$ per $\mathrm{cm}^3$ at $300 \mathrm{~K}$. Now, if acceptor impurities are introduced with a c...
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GATE ECE 2007 | Question: 10
In a $p^{+} n$ junction diode under reverse bias, the magnitude of electric field is maximum at the edge of the depletion region on the $p$-side the edge of the depletion region on the $n$-side the $p^{+} n$ junction the centre of the depletion region on the $n$-side
In a $p^{+} n$ junction diode under reverse bias, the magnitude of electric field is maximum atthe edge of the depletion region on the $p$-sidethe edge of the depletion r...
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1346
GATE ECE 2007 | Question: 11
The correct full wave rectifier circuit is
The correct full wave rectifier circuit is
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GATE ECE 2007 | Question: 12
In a transconductance amplifier, it is desirable to have a large input resistance and a large output resistance a large input resistance and a small output resistance a small input resistance and a large output resistance a small input resistance and a small output resistance
In a transconductance amplifier, it is desirable to havea large input resistance and a large output resistancea large input resistance and a small output resistancea smal...
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1348
GATE ECE 2007 | Question: 13
$\mathrm{X}=01110$ and $\mathrm{Y}=11001$ are two $5$-bit binary numbers represented in two's complement format. The sum of $\mathrm{X}$ and $\mathrm{Y}$ represented in two's complement format using $6$ bits is $100111$ $001000$ $000111$ $101001$
$\mathrm{X}=01110$ and $\mathrm{Y}=11001$ are two $5$-bit binary numbers represented in two's complement format. The sum of $\mathrm{X}$ and $\mathrm{Y}$ represented in t...
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GATE ECE 2007 | Question: 14
The Boolean function $Y=A B+C D$ is to be realized using only $2$ -input NAND gates. The minimum number of gates required is $2$ $3$ $4$ $5$
The Boolean function $Y=A B+C D$ is to be realized using only $2$ -input NAND gates. The minimum number of gates required is$2$$3$$4$$5$
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GATE ECE 2007 | Question: 15
If the closed-loop transfer function of a control system is given as $T(s)=\dfrac{s-5}{(s+2)(s+3)},$ then it is an unstable system an uncontrollable system a minimum phase system a non-minimum phase system
If the closed-loop transfer function of a control system is given as $T(s)=\dfrac{s-5}{(s+2)(s+3)},$ then it isan unstable systeman uncontrollable systema minimum phase s...
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1351
GATE ECE 2007 | Question: 16
If the Laplace transform of a signal $y(t)$ is $Y(s)=\dfrac{1}{s(s-1)},$ then its final value is $-1$ $0$ $1$ Unbounded
If the Laplace transform of a signal $y(t)$ is $Y(s)=\dfrac{1}{s(s-1)},$ then its final value is$-1$$0$$1$Unbounded
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1352
GATE ECE 2007 | Question: 17
If $R(\tau)$ is the autocorrelation function of a real, wide-sense stationary random process, then which of the following is $\text{NOT}$ true? $R(\tau)=R(-\tau)$ $|R(\tau)| \leq R(0)$ $R(\tau)=-R(-\tau)$ The mean square value of the process is $R(0)$
If $R(\tau)$ is the autocorrelation function of a real, wide-sense stationary random process, then which of the following is $\text{NOT}$ true?$R(\tau)=R(-\tau)$$|R(\tau)...
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1353
GATE ECE 2007 | Question: 18
If $S(f)$ is the power spectral density of a real, wide-sense stationary random process, then which of the following is $\text{ALWAYS}$ true? $S(0) \geq S(f)$ $S(f) \geq 0$ $S(-f)=-S(f)$ $\displaystyle{}\int_{-\infty}^{\infty} S(f) d f=0$
If $S(f)$ is the power spectral density of a real, wide-sense stationary random process, then which of the following is $\text{ALWAYS}$ true?$S(0) \geq S(f)$$S(f) \geq 0$...
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GATE ECE 2007 | Question: 19
A plane wave of wavelength $\lambda$ is travelling in a direction making an angle $30^{\circ}$ with positive $x$-axis and $90^{\circ}$ with positive $y$-axis. The $\vec{E}$ field of the plane wave can be represented as ( $E_{0}$ ... $\vec{E}=\hat{y} E_{0} e^{j\left(\omega t-\frac{\pi}{\lambda} x+\frac{\sqrt{3} \pi}{\lambda} z\right)}$
A plane wave of wavelength $\lambda$ is travelling in a direction making an angle $30^{\circ}$ with positive $x$-axis and $90^{\circ}$ with positive $y$-axis. The $\vec{E...
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1355
GATE ECE 2007 | Question: 20
If $\mathrm{C}$ is a closed curve enclosing a surface $S$, then the magnetic field intensity $\vec{H}$, the current density $\vec{J}$ and the electric flux density $\vec{D}$ ...
If $\mathrm{C}$ is a closed curve enclosing a surface $S$, then the magnetic field intensity $\vec{H}$, the current density $\vec{J}$ and the electric flux density $\vec{...
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1356
GATE ECE 2007 | Question: 21
It is given that $X_{1}, X_{2}, \cdots ,X_{M}$ are $M$ non-zero, orthogonal vectors. The dimension of the vector space spanned by the $2 M$ vectors $X_{1}, X_{2}, \cdots, X_{M},-X_{1},-X_{2}, \cdots,-X_{M}$ is $2 M$ $M+1$ $M$ dependent on the choice of $X_{1}, X_{2}, \cdots, X_{M}$
It is given that $X_{1}, X_{2}, \cdots ,X_{M}$ are $M$ non-zero, orthogonal vectors. The dimension of the vector space spanned by the $2 M$ vectors $X_{1}, X_{2}, \cdots,...
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GATE ECE 2007 | Question: 22
Consider the function $f(x)=x^{2}-x-2$. The maximum value of $f(x)$ in the closed interval $[-4,4]$ is $18$ $10$ $-2.25$ indeterminate
Consider the function $f(x)=x^{2}-x-2$. The maximum value of $f(x)$ in the closed interval $[-4,4]$ is$18$$10$$-2.25$indeterminate
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GATE ECE 2007 | Question: 23
An examination consists of two papers, Paper $1$ and Paper $2.$ The probability of failing in Paper $1$ is $0.3$ and that in Paper $2$ is $0.2$. Given that a student has failed in Paper $2,$ the probability of failing in Paper $1$ is $0.6$. The probability of a student failing in both the papers is $0.5$ $0.18$ $0.12$ $0.06$
An examination consists of two papers, Paper $1$ and Paper $2.$ The probability of failing in Paper $1$ is $0.3$ and that in Paper $2$ is $0.2$. Given that a student has ...
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1359
GATE ECE 2007 | Question: 24
The solution of the differential equation $k^{2} \dfrac{d^{2} y}{d x^{2}}=y-y_{2}$ under the boundary conditions (i) $y=y_{1}$ at $x=0$ and (ii) $y=y_{2}$ at $x=\infty$, where $k, y_{1}$ and $y_{2}$ ... $y=\left(y_{1}-y_{2}\right) \sinh (x / k)+y_{1}$ $y=\left(y_{1}-y_{2}\right) \exp (-x / k)+y_{2}$
The solution of the differential equation $k^{2} \dfrac{d^{2} y}{d x^{2}}=y-y_{2}$ under the boundary conditions (i) $y=y_{1}$ at $x=0$ and (ii) $y=y_{2}$ at $x=\infty$, ...
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GATE ECE 2007 | Question: 25
The equation $x^{3}-x^{2}+4 x-4=0$ is to be solved using the Newton-Raphson method. If $x=2$ is taken as the initial approximation of the solution, then the next approximation using this method will be $\frac{2}{3}$ $\frac{4}{3}$ $1$ $\frac{3}{2}$
The equation $x^{3}-x^{2}+4 x-4=0$ is to be solved using the Newton-Raphson method. If $x=2$ is taken as the initial approximation of the solution, then the next approxim...
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