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GATE ECE 1992 | Question 1.1
Relative to a given fixed tree of a network, Link currents form an independent set Branch voltage form an independent set Link currents form an independent set Branch voltage form an independent set
Relative to a given fixed tree of a network,Link currents form an independent setBranch voltage form an independent setLink currents form an independent setBranch voltage...
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GATE ECE 1992 | Question 1.2
For a $2$-port network to be reciprocal, $z_{11} = z_{22}$ $y_{21} = y_{12}$ $h_{21} = – h_{12}$ $\mathrm{AD}-\mathrm{BC}=0$
For a $2$-port network to be reciprocal,$z_{11} = z_{22}$$y_{21} = y_{12}$$h_{21} = – h_{12}$$\mathrm{AD}-\mathrm{BC}=0$
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GATE ECE 1992 | Question 1.3
For the series $\text{R-L}$ circuit of the given first figure, the partial fissure diagram at a certain frequency is shown in the given second figure. The operating frequency of the circuit is
For the series $\text{R-L}$ circuit of the given first figure, the partial fissure diagram at a certain frequency is shown in the given second figure. The operating frequ...
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GATE ECE 1992 | Question 1.4
For the compensated attenuator of the given figure, the impulse response under the condition $R_{1} C_{1} = R_{2} C_{2}$ is $\frac{R_{2}}{R_{1}+R_{2}}\left[1-e^{-\frac{1}{R_{1} C_{1}}}\right] u(t)$ $\frac{R_{2}}{R_{1}+R_{2}} \delta(t)$ ... $\frac{\mathrm{R}_{2}}{\mathrm{R}_{1}+\mathrm{R}_{2}} 1-e^{-\frac{1}{R_{1} C_{1}}} \cdot u(t)$
For the compensated attenuator of the given figure, the impulse response under the condition $R_{1} C_{1} = R_{2} C_{2}$ is$\frac{R_{2}}{R_{1}+R_{2}}\left[1-e^{-\frac{1}{...
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GATE ECE 1992 | Question 1.5
Of the four networks, $\mathrm{N}_{1}, \mathrm{~N}_{2}, \mathrm{~N}_{3}$ and $\mathrm{N}_{4}$ of the given figure, the networks having identical driving point functions are $\mathrm{N}_{1}$ and $\mathrm{N}_{1}$ $\mathrm{N}_{2}$ and $\mathrm{N}_{4}$ $\mathrm{N}_{1}$ and $\mathrm{N}_{3}$ $\mathrm{N}_{1}$ and $\mathrm{N}_{4}$
Of the four networks, $\mathrm{N}_{1}, \mathrm{~N}_{2}, \mathrm{~N}_{3}$ and $\mathrm{N}_{4}$ of the given figure, the networks having identical driving point functions a...
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GATE ECE 1992 | Question 1.6
A linear time-invariant system is described by the state variable model \[ \left[\begin{array}{l} x_{1} \\ x_{2} \end{array}\right]=\left[\begin{array}{rc} -1 & 0 \\ 0 & -2 \end{array}\right]\ ... \right] \] The system is completely controllable The system is not completely controllable The system is completely observable The system is not completely observable.
A linear time-invariant system is described by the state variable model\[\left[\begin{array}{l}x_{1} \\x_{2}\end{array}\right]=\left[\begin{array}{rc}-1 & 0 \\0 & -2\end{...
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GATE ECE 1992 | Question 1.7
A process with open-loop model $G(s)=\frac{k e^{-s \mathrm{~T}_{4}}}{t s+1}$ is controlled by a $\text{PID}$ controller. For this process the integral mode improves transient performance the integral mode improves steady-state performance the derivative mode improves transient performance the derivative mode improves steady-state performance.
A process with open-loop model $G(s)=\frac{k e^{-s \mathrm{~T}_{4}}}{t s+1}$ is controlled by a $\text{PID}$ controller.For this processthe integral mode improves transie...
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GATE ECE 1992 | Question 1.8
A linear discrete-time system has the characteristic equation, $z^{3}-0.81 z=0$. The system is stable is marginally stable is unstable stability cannot be assessed from the given information.
A linear discrete-time system has the characteristic equation, $z^{3}-0.81 z=0$. The systemis stableis marginally stableis unstablestability cannot be assessed from the g...
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GATE ECE 1992 | Question 1.9
Bode plot of a stable system is shown in the given figure. The transfer function of the system is $\cdots$
Bode plot of a stable system is shown in the given figure. The transfer function of the system is $\cdots$
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GATE ECE 1992 | Question 1.10
Given a unity feedback system with open-loop transfer function, $G(a)=\frac{K}{s(s+1)(s+2)}$. The root locus plot of the system is of the form.
Given a unity feedback system with open-loop transfer function, $G(a)=\frac{K}{s(s+1)(s+2)}$. The root locus plot of the system is of the form.
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GATE ECE 1992 | Question 1.11
A semiconductor is irradiated with light such that carriers are uniformly generated throughout its volume. The semiconductor is $n$-type with $N_{D}=10^{19}$ per $\mathrm{cm}^{3}$. If the excess electron concentration in the steady state is $\Delta n=10^{15}$ ... $/ \mathrm{cm}^{3} / \mathrm{s}$ cannot be determined as the given data is insufficient.
A semiconductor is irradiated with light such that carriers are uniformly generated throughout its volume. The semiconductor is $n$-type with $N_{D}=10^{19}$ per $\mathrm...
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GATE ECE 1992 | Question 1.12
A $\text{P-N}$ junction series with a $100$ ohms resistor, is forward based so that a current of $100 \mathrm{~mA}$ flows. If the voltage across this combination is instantaneously reversed to $10 \mathrm{~V}$ at $t=0$, the reverse current that flows through the ... $0 \mathrm{~mA}$ $100 \mathrm{~mA}$ $200 \mathrm{~mA}$ $50 \mathrm{~mA}$
A $\text{P-N}$ junction series with a $100$ ohms resistor, is forward based so that a current of $100 \mathrm{~mA}$ flows. If the voltage across this combination is inst...
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GATE ECE 1992 | Question 1.13
An infrared $\text{LED}$ is usually fabricated from $\text{Ge}$ $\mathrm{Si}$ $\text{Ga As}$ $\text{Ga As P.}$
An infrared $\text{LED}$ is usually fabricated from$\text{Ge}$$\mathrm{Si}$$\text{Ga As}$$\text{Ga As P.}$
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GATE ECE 1992 | Question 1.14
In a transistor having finite $B$, the forward bias across the base emitter junction is kept constant and the reverse bias across the collector-base junction is increased. Neglecting the leakage across the collector-base junction and the depletion region generatin current, the base current will ________ (increase/decrease/remain constant).
In a transistor having finite $B$, the forward bias across the base emitter junction is kept constant and the reverse bias across the collector-base junction is increased...
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GATE ECE 1992 | Question 1.15
An $n$-channel $\text{JFET}$ has a pinch-off voltage of $\mathrm{V}_{p}=-5 \mathrm{~V}, \mathrm{~V}_{\mathrm{DS}}(\max )=20 \mathrm{~V}$, and $\delta_{m}=2 \mathrm{~mA} / \mathrm{V}$. The minimum ' $\mathrm{ON}^{\prime}$ ' resistance is ... $\mathrm{V}_{\mathrm{CS}}=-7 \mathrm{~V}$ and $\mathrm{V}_{\mathrm{DS}}=20 \mathrm{~V}$
An $n$-channel $\text{JFET}$ has a pinch-off voltage of $\mathrm{V}_{p}=-5 \mathrm{~V}, \mathrm{~V}_{\mathrm{DS}}(\max )=20 \mathrm{~V}$, and $\delta_{m}=2 \mathrm{~mA} /...
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GATE ECE 1992 | Question 1.16
The $\text{JFET}$ in the circuit shown in the given figure has an $\mathrm{I}_{\mathrm{DSS}}=10 \mathrm{~mA}$ and $\mathrm{V}_{\mathrm{p}}=5 \mathrm{~V}$. The value of the resistance $\mathrm{R}_{\mathrm{s}}$ for a drain current $\mathrm{I}_{\mathrm{DS}}=6.4 \mathrm{~mA}$ is (select the nearest value) $150 \; \mathrm{ohms}$ $470$ ohms $560$ ohms $1$ kilo ohm.
The $\text{JFET}$ in the circuit shown in the given figure has an $\mathrm{I}_{\mathrm{DSS}}=10 \mathrm{~mA}$ and $\mathrm{V}_{\mathrm{p}}=5 \mathrm{~V}$. The value of th...
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GATE ECE 1992 | Question 1.17
An op. amp. has an offset voltage of $1 \mathrm{mV}$ and is ideal in all other respects. If this op. amp. is used in the circuit shown in the given figure, the output voltage will be (select the nearest value) $1 \mathrm{mV}$ $1 \mathrm{~V}$ $\pm 1 \mathrm{~V}$ $0 \mathrm{~V}$.
An op. amp. has an offset voltage of $1 \mathrm{mV}$ and is ideal in all other respects. If this op. amp. is used in the circuit shown in the given figure, the output vol...
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GATE ECE 1992 | Question 1.18
If the transistors in the given figure have high values of $\beta$ and a $V_{B E}$ of $0.65$ volt, the current $I$, flowing through the $2$ kilo ohms resistance will be $\ldots .$
If the transistors in the given figure have high values of $\beta$ and a $V_{B E}$ of $0.65$ volt, the current $I$, flowing through the $2$ kilo ohms resistance will be $...
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GATE ECE 1992 | Question 1.19
The circuit of given figure, uses an ideal op amp. For small positive values of $V_{\text {in' }}$, the circuit works as a halfwave rectifier a differentiator a logarithmic amplifier an exponential amplifier.
The circuit of given figure, uses an ideal op amp. For small positive values of $V_{\text {in' }}$, the circuit works asa halfwave rectifiera differentiatora logarithmic ...
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GATE ECE 1992 | Question 1.20
Assume that the operational amplifier in given figure is ideal. The current, $I$, through the $1 \; \text{K ohm}$ resistor is $\dots$
Assume that the operational amplifier in given figure is ideal. The current, $I$, through the $1 \; \text{K ohm}$ resistor is $\dots$
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GATE ECE 1992 | Question 1.21
The $6 \mathrm{~V}$ Zener diode shown in given figure has zero Zener resistance and a knee current of $5 \mathrm{~mA}$. The minimum value of $R$ so that the voltage across it does not fall below $6 \mathrm{~V}$ is $1.2 $ ohms $80$ ohms $50$ ohms $0$ ohms
The $6 \mathrm{~V}$ Zener diode shown in given figure has zero Zener resistance and a knee current of $5 \mathrm{~mA}$. The minimum value of $R$ so that the voltage acros...
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GATE ECE 1992 | Question 1.22
The logic realized by the circuit shown in given figure is $\mathrm{F}=\mathrm{A} \cdot \mathrm{C}$ $\mathrm{F}=\mathrm{A}+\mathrm{C}$ $\mathrm{F}=\mathrm{B} \cdot \mathrm{C}$ $\mathrm{F}=\mathrm{B}+\mathrm{C}$
The logic realized by the circuit shown in given figure is $\mathrm{F}=\mathrm{A} \cdot \mathrm{C}$$\mathrm{F}=\mathrm{A}+\mathrm{C}$$\mathrm{F}=\mathrm{B} \cdot \mathrm{...
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GATE ECE 1992 | Question 1.23
Choose the correct statement(s) from the following $\text{PROM}$ contains a programmable $\text{AND}$ array and a fixed $\text{OR}$ array $\text{PLA}$ contains a fixed $\text{AND}$ array and a programmable $\text{OR}$ array $\text{PROM}$ ... programmable $\text{OR}$ array $\text{PLA}$ contains a programmable $\text{AND}$ array and a programmable $\text{OR}$ array.
Choose the correct statement(s) from the following$\text{PROM}$ contains a programmable $\text{AND}$ array and a fixed $\text{OR}$ array$\text{PLA}$ contains a fixed $\te...
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GATE ECE 1992 | Question 1.24
Given figure shows the circuit of a gate in the Resistor Transistor Logic $\text{(RTL)}$ family. The circuit represents a $\text{NAND}$ $\text{AND}$ $\text{NOR}$ $\mathrm{OR}$
Given figure shows the circuit of a gate in the Resistor Transistor Logic $\text{(RTL)}$ family. The circuit represents a$\text{NAND}$$\text{AND}$$\text{NOR}$$\mathrm{OR}...
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GATE ECE 1992 | Question 1.25
The initial contents of the $4$-bit serial-in-parallel-out, right-shift, Shift. Register shown in given figure is $0110$. After three clock pulses are applied, the contents of the Shift Register will be $0000$ $0101$ $1010$ $1111.$
The initial contents of the $4$-bit serial-in-parallel-out, right-shift, Shift. Register shown in given figure is $0110$. After three clock pulses are applied, the conten...
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GATE ECE 1992 | Question 1.26
In an $8085$ microprocessor system with memory mapped $\text{I} / \mathrm{O}$, $\text{I/O}$ devices have $16$-bit addresses $\text{I/O}$ devices are accessed using $\text{IN}$ and $\text{OUT}$ instructions there can be a maximum of $256$ input devices and $256$ output devices arithmetic and logic operations can be directly performed with the $\text{I/O}$ data.
In an $8085$ microprocessor system with memory mapped $\text{I} / \mathrm{O}$,$\text{I/O}$ devices have $16$-bit addresses$\text{I/O}$ devices are accessed using $\text{I...
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GATE ECE 1992 | Question 1.27
The following program is run on $8085$ ... $8085$ contains _________ and the Stack Pointeer contains ___________.
The following program is run on $8085$ microprocessor :$\begin{array}{cc}\text { Memory Address in hex } & \text { Instruction } \\ 2000 & \text { LXI SP, 1000 } \\ 2003 ...
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GATE ECE 1992 | Question 1.28
Dual-slope integration type Analog-to-digital converters provide higher speeds compared to all other types of $\text{A/D}$ converters very good accuracy without putting extreme requirements on component stability good rejection of power supply hum better resolution compared to all other types of $\text{A/D}$ converters for the same number of bits.
Dual-slope integration type Analog-to-digital converters providehigher speeds compared to all other types of $\text{A/D}$ convertersvery good accuracy without putting ext...
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GATE ECE 1992 | Question 1.29
Which of the following signals is/are periodic? $\mathrm{S}(t)=\cos 2 t+\cos 3 t+\cos 5 t$ $\mathrm{S}(t)=\exp (j 8 \pi t)$ $S(t)=\exp (-7 t) \sin 10 \pi t$ $S(t)=\cos 2 t \cos 4 t$
Which of the following signals is/are periodic?$\mathrm{S}(t)=\cos 2 t+\cos 3 t+\cos 5 t$$\mathrm{S}(t)=\exp (j 8 \pi t)$$S(t)=\exp (-7 t) \sin 10 \pi t$$S(t)=\cos 2 t \c...
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GATE ECE 1992 | Question 1.30
If $G(f)$ represents the Fourier transform of a signal $g$ (t) which is real and odd symmetric in time, then $\mathrm{G}(f)$ is complex $G(f)$ is imaginary $\mathrm{G}(f)$ is real $\mathrm{G}(f)$ is real and non-negative.
If $G(f)$ represents the Fourier transform of a signal $g$ (t) which is real and odd symmetric in time, then$\mathrm{G}(f)$ is complex$G(f)$ is imaginary$\mathrm{G}(f)$ i...
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GATE ECE 1992 | Question 1.31
The maximum power efficiency of an $\text{AM}$ modulator is $25 \; \%$ $50 \; \%$ $75 \; \%$ $100 \; \%$
The maximum power efficiency of an $\text{AM}$ modulator is$25 \; \%$$50 \; \%$$75 \; \%$$100 \; \%$
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GATE ECE 1992 | Question 1.32
For a random variable $x$ following the probability density function, $\mathrm{p}(x)$, shown in given figure the mean and the variance are, respectively, $1 / 2$ and $2 / 3$ $1$ and $4 / 3$ $1$ and $2 / 3$ $2$ and $4 / 3$
For a random variable $x$ following the probability density function, $\mathrm{p}(x)$, shown in given figure the mean and the variance are, respectively,$1 / 2$ and $2 / ...
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GATE ECE 1992 | Question 1.33
The bit stream $01001$ is differentially encoded using $\text{'Delay and Ex OR'}$ scheme for $\text{DPSK}$ transmission. Assuming the reference bit as a $'1'$ and assigning phases of $'0'$ and $\pi$ for $1$'s and $0$'s respectively, in the encoded sequence, ... becomes $\pi 0 \pi \pi 0$ $0 \pi \pi 00$ $0 \pi \pi \pi 0$ $\pi \pi 0 \pi \pi$
The bit stream $01001$ is differentially encoded using $\text{'Delay and Ex OR'}$ scheme for $\text{DPSK}$ transmission. Assuming the reference bit as a $'1'$ and assigni...
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GATE ECE 1992 | Question 1.34
Coherent demodulation of $\text{FSK}$ signal can be effected using correlation receiver Bandpass filters and envelope detectors matched filter discriminator detection.
Coherent demodulation of $\text{FSK}$ signal can be effected usingcorrelation receiverBandpass filters and envelope detectorsmatched filterdiscriminator detection.
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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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GATE ECE 1992 | Question 1.36
A transmission line whose characteristic impedance is a pure resistance must be a lossless line must be a distortionless line may not be a lossless line $(d)$ may not be a distortionless line.
A transmission line whose characteristic impedance is a pure resistancemust be a lossless linemust be a distortionless linemay not be a lossless line$(d)$ may not be a di...
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GATE ECE 1992 | Question 1.37
Which of the following statements is/are correct? All the resonant frequencies of a microwave cavity are harmonics of a single frequency No two of the resonant frequencies of a microwave caity are harmonics of a single frequency Resonant ... harmonically related frequency None of the above, because a microwave cavity does not resonate at a number of frequencies.
Which of the following statements is/are correct?All the resonant frequencies of a microwave cavity are harmonics of a single frequencyNo two of the resonant frequencies ...
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GATE ECE 1992 | Question 1.38
Two dissimilar antennas having their maximum directivities equal, must have their beamwidths also equal cannot have their beamwidths equal because they are dissimilar antennas may not necessarily have their maximum power gains equal must have their effictive aperture areas (capture areas) also equal.
Two dissimilar antennas having their maximum directivities equal,must have their beamwidths also equalcannot have their beamwidths equal because they are dissimilar anten...
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GATE ECE 1992 | Question 1.39
The beamwidth-between-first null of uniform linear array of $\mathrm{N}$ equally-spaced (element spacing $=d$ ), equally-excited antennas is determined by $\mathrm{N}$ alone and not by $d$ $d$ alone and not by $\mathrm{N}$ the ratio, $(\mathrm{N} / d)$ the product, $(\mathrm{N} d)$
The beamwidth-between-first null of uniform linear array of $\mathrm{N}$ equally-spaced (element spacing $=d$ ), equally-excited antennas is determined by$\mathrm{N}$ alo...
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GATE ECE 1992 | Question 1.40
In a multicavity magnetron, strapping is employed primarily to prevent mode jumping to increase the separation between the resonant frequencies in the $\pi$-mode and in the adjacent modes to reduce the back heating of the cathode to increase the output of the magnetron.
In a multicavity magnetron, strapping is employed primarilyto prevent mode jumpingto increase the separation between the resonant frequencies in the $\pi$-mode and in the...
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