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1481
GATE ECE 2010 | Question: 44
A unity negative feedback closed loop system has a plant with the transfer function $\text{G}(s)=\frac{1}{s^{2}+2 s+2}$ and a controller $\text{G}_{c}(s)$ ... $\text{G}_{c}(s)=1+\frac{2}{s}+3 s$
A unity negative feedback closed loop system has a plant with the transfer function $\text{G}(s)=\frac{1}{s^{2}+2 s+2}$ and a controller $\text{G}_{c}(s)$ in the feedforw...
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1482
GATE ECE 2010 | Question: 45
$\text{X}(t)$ is a stationary process with the power spectral density $\text{S}_{\text{X}}(f)>0$ for all $f$. The process is passed through a system shown below. Let $\text{S}_\text{Y}(f)$ be the power spectral density of $\text{Y}(t)$. Which one of the following ... any integer $\text{S}_\text{Y}(f)=0$ for $f=(2 n+1) f_{0} , f_{0}=1 \; \mathrm{kHz}, n$ any integer
$\text{X}(t)$ is a stationary process with the power spectral density $\text{S}_{\text{X}}(f)>0$ for all $f$. The process is passed through a system shown below.Let $\tex...
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1483
GATE ECE 2010 | Question: 46
A plane wave having the electric field component $\vec{E}_{\mathrm{t}}=24 \cos \left(3 \times 10^{3} t-\beta y \right) \hat{a}_{z} \mathrm{~V} / \mathrm{m}$ and traveling in free space is incident normally on a lossless medium with $\mu=\mu_{0}$ ... $-\frac{1}{10 \pi} \cos \left(3 \times 10^{8} t+y\right) \hat{a}_{x} \mathrm{~A} / \mathrm{m}$
A plane wave having the electric field component $\vec{E}_{\mathrm{t}}=24 \cos \left(3 \times 10^{3} t-\beta y \right) \hat{a}_{z} \mathrm{~V} / \mathrm{m}$ and traveling...
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1484
GATE ECE 2010 | Question: 47
In the circuit shown, all the Transmission line sections are lossless. The Voltage Standing Wave Ratio $\text{(VSWR)}$ on the $60 \Omega$ line is $1.00$ $1.64$ $2.50$ $3.00$
In the circuit shown, all the Transmission line sections are lossless. The Voltage Standing Wave Ratio $\text{(VSWR)}$ on the $60 \Omega$ line is$1.00$$1.64$$2.50$$3.00$...
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1485
GATE ECE 2010 | Question: 48
Consider the common emitter amplifier shown below with the following circuit parameters: ... The resistance seen by the source $\nu_{s}$ is $258 \; \Omega$ $1258 \; \Omega$ $93 \; \mathrm{k} \Omega$ $\infty$
Consider the common emitter amplifier shown below with the following circuit parameters: $\beta=100, g_{m}=0.3861 \mathrm{~A / V}, \mathrm{r}_{\mathrm{o}}=\infty, \mathrm...
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1486
GATE ECE 2010 | Question: 49
Consider the common emitter amplifier shown below with the following circuit parameters: ... $\mathrm{C}_{2}$ is $33.9 \mathrm{~Hz}$ $27.1 \mathrm{~Hz}$ $13.6 \mathrm{~Hz}$ $16.9 \mathrm{~Hz}$
Consider the common emitter amplifier shown below with the following circuit parameters: $\beta=100, g_{m}=0.3861 \mathrm{~A / V}, \mathrm{r}_{\mathrm{o}}=\infty, \mathrm...
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1487
GATE ECE 2010 | Question: 50
The signal flow graph of a system is shown below. The state variable representation of the system can be ...
The signal flow graph of a system is shown below.The state variable representation of the system can be$\begin{aligned} \dot{x} &=\left[\begin{array}{ll} 1 & 1 \\ -1 & 0\...
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1488
GATE ECE 2010 | Question: 51
The signal flow graph of a system is shown below. The transfer function of the system is $\frac{s+1}{s^{2}+1}$ $\frac{s-1}{s^{2}+1}$ $\frac{s+1}{s^{2}+s+1}$ $\frac{s-1}{s^{2}+s+1}$
The signal flow graph of a system is shown below.The transfer function of the system is$\frac{s+1}{s^{2}+1}$$\frac{s-1}{s^{2}+1}$$\frac{s+1}{s^{2}+s+1}$$\frac{s-1}{s^{2}+...
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1489
GATE ECE 2010 | Question: 52
The silicon sample with unit cross-sectional area shown below is in thermal equilibrium. The following information is given: $\text{T}=300 \mathrm{~K}$, electronic charge $=1.6 \times 10^{-19} \mathrm{C}$, thermal voltage $=26 \; \mathrm{mV}$ ... $10 \; \mathrm{kV} / \mathrm{cm}$ $26 \; \mathrm{kV} / \mathrm{cm}$
The silicon sample with unit cross-sectional area shown below is in thermal equilibrium. The following information is given: $\text{T}=300 \mathrm{~K}$, electronic charge...
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1490
GATE ECE 2010 | Question: 53
The silicon sample with unit cross-sectional area shown below is in thermal equilibrium. The following information is given: $\text{T}=300 \mathrm{~K}$, electronic charge $=1.6 \times 10^{-19} \mathrm{C}$, thermal voltage $=26 \; \mathrm{mV}$ ... $6.48 \times 10^{2} \mathrm{~A} / \mathrm{cm}^{2}$
The silicon sample with unit cross-sectional area shown below is in thermal equilibrium. The following information is given: $\text{T}=300 \mathrm{~K}$, electronic charge...
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1491
GATE ECE 2010 | Question: 54
Statement for Linked Answer Questions 54 and 55: Consider a baseband binary PAM receiver shown below. The additive channel noise $n(t)$ is white with power spectral density $S_{N}(f)=N_{0} / 2=10^{-20}$ ... $V^{-1}$ ) is $10^{10}$ $10^{}$ $1.414 \times 10^{-10}$ $2 \times 10^{20}$
Statement for Linked Answer Questions 54 and 55:Consider a baseband binary PAM receiver shown below. The additive channel noise $n(t)$ is white with power spectral densit...
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1492
GATE ECE 2010 | Question: 55
Statement for Linked Answer Questions 54 and 55: Consider a baseband binary PAM receiver shown below. The additive channel noise $n(t)$ is white with power spectral density $S_{N}(f)=N_{0} / 2=10^{-20}$ ... is $0.5 \times e^{-35}$ $0.5 \times e^{-5}$ $0.5 \times e^{}$ $0.5 \times e^{}$
Statement for Linked Answer Questions 54 and 55:Consider a baseband binary PAM receiver shown below. The additive channel noise $n(t)$ is white with power spectral densit...
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1493
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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1494
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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1495
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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1496
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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1497
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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1498
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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1499
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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1500
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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1501
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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1502
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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1503
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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1504
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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1505
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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1506
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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1507
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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1508
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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1509
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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1510
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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1511
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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1512
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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1513
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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1514
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}$$\mathrm{F}=\mathrm{B} \cdot \mathrm{...
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1515
GATE ECE 1992 | Question 1.23
Choose the correct statement(s) from the following $\text{PROM}$ contains a programmable $\text{AND}$ array and a fixed $\text{OR}$ array $\text{PLA}$ contains a fixed $\text{AND}$ array and a programmable $\text{OR}$ array $\text{PROM}$ ... programmable $\text{OR}$ array $\text{PLA}$ contains a programmable $\text{AND}$ array and a programmable $\text{OR}$ array.
Choose the correct statement(s) from the following$\text{PROM}$ contains a programmable $\text{AND}$ array and a fixed $\text{OR}$ array$\text{PLA}$ contains a fixed $\te...
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1516
GATE ECE 1992 | Question 1.24
Given figure shows the circuit of a gate in the Resistor Transistor Logic $\text{(RTL)}$ family. The circuit represents a $\text{NAND}$ $\text{AND}$ $\text{NOR}$ $\mathrm{OR}$
Given figure shows the circuit of a gate in the Resistor Transistor Logic $\text{(RTL)}$ family. The circuit represents a$\text{NAND}$$\text{AND}$$\text{NOR}$$\mathrm{OR}...
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1517
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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1518
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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1519
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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1520
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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