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1042
GATE ECE 2005 | Question: 54
The Boolean expression for the truth table shown is ... $\overline{\mathrm{B}}(\mathrm{A}+\mathrm{C})(\overline{\mathrm{A}}+\overline{\mathrm{C}})$
The Boolean expression for the truth table shown is$$\begin{array}{|c|c|c|c|}\hline \mathrm{A} & \mathrm{B} & \mathrm{C} & \mathrm{F} \\\hline 0 & 0 & 0 & 0 \\\hline 0 & ...
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1044
GATE ECE 2005 | Question: 56
The present output $Q_{n}$ of an edge triggered JK flip-flop is logic $0.$ If $\mathrm{J}=1$, then $\mathrm{Q}_{n+1}$ cannot be determined will be logic $0$ will be logic $1$ will race around
The present output $Q_{n}$ of an edge triggered JK flip-flop is logic $0.$ If $\mathrm{J}=1$, then $\mathrm{Q}_{n+1}$cannot be determinedwill be logic $0$will be logic $1...
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1045
GATE ECE 2005 | Question: 58
What memory address range is $\text{NOT}$ represented by chip $\# \; 1$ and chip $\# \; 2$ in the figure $\text{A}_{0}$ to $\text{A}_{15}$ in this figure are the address lines and $\text{CS}$ means Chip Select. 0100-02FF 1500-16FF F900-FAFF F800-F9FF
What memory address range is $\text{NOT}$ represented by chip $\# \; 1$ and chip $\# \; 2$ in the figure $\text{A}_{0}$ to $\text{A}_{15}$ in this figure are the address ...
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1046
GATE ECE 2005 | Question: 59
The output $y(t)$ of a linear time invariant system is related to its input $x(t)$ by the following equation: $y(t)=0.5 x\left(t-t_{d}+\mathrm{T}\right)+x\left(t-t_{d}\right)+0.5 x\left(t-t_{d}-\mathrm{T}\right)$ ... $(1+\cos \omega \mathrm{T}) e^{-j \omega t_d}$ $(1-0.5 \cos \omega \mathrm{T}) e^{-j \omega t_d}$
The output $y(t)$ of a linear time invariant system is related to its input $x(t)$ by the following equation:$y(t)=0.5 x\left(t-t_{d}+\mathrm{T}\right)+x\left(t-t_{d}\rig...
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1047
GATE ECE 2005 | Question: 60
Match the following and choose the correct combination. ... $\mathrm{E}-2, \mathrm{~F}-1, \mathrm{G}-4, \mathrm{H}-3$
Match the following and choose the correct combination.$$\begin{array}{ll} \qquad \qquad \quad \textbf{Group 1} & \quad \qquad \qquad \qquad \qquad \textbf{Group 2} \\ \t...
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1049
GATE ECE 2005 | Question: 62
For a signal $x(f)$ the fourier transform is $X(f)$. Then the inverse Fourier transform of $X(3 f+2)$ is given by $\frac{1}{2 x}\left(\frac{t}{2}\right) e^{j 3 \pi t}$ $\frac{1}{3 x}\left(\frac{t}{3}\right) e^{-14 \pi t / 3}$ $3 x(3 t) e^{-j 4 \pi t}$ $x(3 t+2)$
For a signal $x(f)$ the fourier transform is $X(f)$. Then the inverse Fourier transform of $X(3 f+2)$ is given by$\frac{1}{2 x}\left(\frac{t}{2}\right) e^{j 3 \pi t}$$\fr...
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1050
GATE ECE 2005 | Question: 63
The polar diagram of a conditionally stable system for open loop gain $\text{K}=1$ is shown in the figure. The open loop transfer function of the system is known to be stable. The closed loop system is stable for $\mathrm{K}<5$ ... $5<\mathrm{K}$. $\text{K}>\frac{1}{8}$ and $\text{K}<5$.
The polar diagram of a conditionally stable system for open loop gain $\text{K}=1$ is shown in the figure. The open loop transfer function of the system is known to be st...
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1052
GATE ECE 2005 | Question: 65
Given the ideal operational amplifier circuit shown in the figure indicate the correct transfer characteristics assuming ideal diodes with zero cut-in voltage.
Given the ideal operational amplifier circuit shown in the figure indicate the correct transfer characteristics assuming ideal diodes with zero cut-in voltage.
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1053
GATE ECE 2005 | Question: 66
A ramp input applied to an unity feedback system results in $5 \%$ steady state error. The type number and zero frequency gain of the system are respectively $1$ and $20$ $0$ and $20$ $0$ and $\frac{1}{20}$ $1$ and $\frac{1}{20}$
A ramp input applied to an unity feedback system results in $5 \%$ steady state error. The type number and zero frequency gain of the system are respectively$1$ and $20$$...
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1054
GATE ECE 2005 | Question: 67
A double integrator plant, $\mathrm{G}(s)=\frac{\mathrm{K}}{s^{2}}, \mathrm{H}(\mathrm{s})=1$ is to be compensated to achieve the damping ratio $\zeta=0.5$, and an undamped natural frequency, $\omega_{n}=5 \; \mathrm{rad/s}$ ... $\frac{\mathrm{s}-6}{\mathrm{~s}+8.33}$ $\frac{\text{s}-6}{\text{s}}$
A double integrator plant, $\mathrm{G}(s)=\frac{\mathrm{K}}{s^{2}}, \mathrm{H}(\mathrm{s})=1$ is to be compensated to achieve the damping ratio $\zeta=0.5$, and an undamp...
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1055
GATE ECE 2005 | Question: 68
An unity feedback system is given as, $\mathrm{G}(s)=\frac{\mathrm{K}(1-s)}{s(s+3)}$ Indicate the correct root locus diagram.
An unity feedback system is given as,$\mathrm{G}(s)=\frac{\mathrm{K}(1-s)}{s(s+3)}$Indicate the correct root locus diagram.
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1056
GATE ECE 2005 | Question: 69
A $\text{MOS}$ capacitor made using $p$ type substrate is in the accumulation mode. The dominant charge in the channel is due to the presence of holes electrons positively charged ions negatively charged ions
A $\text{MOS}$ capacitor made using $p$ type substrate is in the accumulation mode. The dominant charge in the channel is due to the presence ofholeselectronspositively c...
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1058
GATE ECE 2005 | Question: 71
A signal as shown in the figure is applied to a matched filter. Which of the following does represent the output of this matched filter?
A signal as shown in the figure is applied to a matched filter. Which of the following does represent the output of this matched filter?
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1061
GATE ECE 2005 | Question: 74
An output of a communication channel is a random variable $v$ with the probability density function as shown in the figure The mean square value of $v$ is $4$ $6$ $8$ $9$
An output of a communication channel is a random variable $v$ with the probability density function as shown in the figure The mean square value of $v$ is$4$$6$$8$$9$
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1062
GATE ECE 2005 | Question: 75
Which one of the following does represent the electric field lines for the $\mathrm{TE}_{\mathrm{O}_{2}}$ mode in the cross-section of a hollow rectangular metallic waveguide?
Which one of the following does represent the electric field lines for the $\mathrm{TE}_{\mathrm{O}_{2}}$ mode in the cross-section of a hollow rectangular metallic waveg...
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1063
GATE ECE 2005 | Question: 76
Characteristic impedance of a transmission line is $50 \Omega$. Input impedance of the open-circuited line is $Z_{a^{-}}=100+j 150 \Omega$. When the transmission line is short- circuited, then value of the input impedance will be $50 \Omega$ $100+j 150 \Omega$ $7.69+j 11.54 \Omega$ $7.69-j 11.54 \Omega$
Characteristic impedance of a transmission line is $50 \Omega$. Input impedance of the open-circuited line is $Z_{a^{-}}=100+j 150 \Omega$. When the transmission line is ...
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1064
GATE ECE 2005 | Question: 77
Two identical and parallel dipole antennas are kept apart by a distance of $\frac{\lambda}{4}$ in the H-plane. They are fed with equal currents but the right most antenna has a phase shift of $+90^{\circ}$. The radiation pattern is given as
Two identical and parallel dipole antennas are kept apart by a distance of $\frac{\lambda}{4}$ in the H-plane. They are fed with equal currents but the right most antenna...
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1068
GATE ECE 2005 | Question: 81a
Statement for Linked Answer Questions 81 a and 81 b: Consider an $8085$ microprocessor system The following program starts at location $0100 \mathrm{H}$ ... the program counter reaches $0109 \mathrm{H}$ is $20 \mathrm{H}$ $02 \mathrm{H}$ $00 \mathrm{H}$ $\mathrm{FFH}$
Statement for Linked Answer Questions 81 a and 81 b:Consider an $8085$ microprocessor systemThe following program starts at location $0100 \mathrm{H}$.$\begin{array}{l} \...
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1071
GATE ECE 2005 | Question: 84a
Statement of Linked Answer Questions 84a and 84b: Voltage standing wave pattern in a lossless transmission line with characteristic impedance $50 \mathrm{~W}$ and a resistive load is shown in the figure. The value of the load resistance is $50 \; \Omega$ $200 \; \Omega$ $12.5 \; \Omega$ $0 \; \Omega 2$
Statement of Linked Answer Questions 84a and 84b:Voltage standing wave pattern in a lossless transmission line with characteristic impedance $50 \mathrm{~W}$ and a resist...
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1072
GATE ECE 2005 | Question: 85a
Statement of Linked Answer Questions 85a and 85b A sequence $x(n)$ has non-zero values as shown in the figure The sequence $y(n)=\left\{x\left(\frac{n}{2}-1\right)\right.$ will be
Statement of Linked Answer Questions 85a and 85bA sequence $x(n)$ has non-zero values as shown in the figureThe sequence $y(n)=\left\{x\left(\frac{n}{2}-1\right)\right.$ ...
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1073
GATE ECE 1995 | Question 1.1
A $\text{DC}$ voltage source is connected across a series $\text{R-L-C}$ circuit. Under steady-state conditions, the applied $\text{DC}$ voltage drops entirely across the $R$ only $L$ only $C$ only $\mathrm{R}$ and $\mathrm{L}$ combination
A $\text{DC}$ voltage source is connected across a series $\text{R-L-C}$ circuit. Under steady-state conditions, the applied $\text{DC}$ voltage drops entirely across the...
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1074
GATE ECE 1995 | Question 1.2
Consider a $\text{DC}$ voltage source connected to a series $\mathrm{R}-\mathrm{C}$ circuit. When the steady-state reaches, the ratio of the energy stored in the capacitor to the total energy supplied by the voltage source, is equal to $0.362$ $0.500$ $0.632$ $1,000$
Consider a $\text{DC}$ voltage source connected to a series $\mathrm{R}-\mathrm{C}$ circuit. When the steady-state reaches, the ratio of the energy stored in the capacito...
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1075
GATE ECE 1995 | Question 1.3
Two $2 \; \mathrm{H}$ inductance coils are connected in series and are also magnetically coupled to each other the coefficient of coupling being $0.1$. The total inductance of the combination can be $0.4 \; \mathrm{H}$ $3.2 \; \mathrm{H}$ $4.0 \; \mathrm{H}$ $3.3 \; \mathrm{H}$
Two $2 \; \mathrm{H}$ inductance coils are connected in series and are also magnetically coupled to each other the coefficient of coupling being $0.1$. The total inductan...
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1076
GATE ECE 1995 | Question 1.4
The $\text{RMS}$ value of a rectangular wave of period $T$, having a value of $+V$ for a duration, $T_1(<T)$ and $-V$ for the duration, $T-T_1=T_2$, equals $\mathrm{V}$ $\frac{\mathrm{T}_1-\mathrm{T}_2}{\mathrm{~T}} \mathrm{~V}$ $\frac{\mathrm{V}}{\sqrt{2}}$ $\frac{\mathrm{T}_1}{\mathrm{~T}_2} \mathrm{~V}$
The $\text{RMS}$ value of a rectangular wave of period $T$, having a value of $+V$ for a duration, $T_1(<T)$ and $-V$ for the duration, $T-T_1=T_2$, equals$\mathrm{V}$$\f...
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1077
GATE ECE 1995 | Question 1.5
If $L[f(t)]=\frac{2(s+1)}{s^{2}+2 s+5}$ then $f(0+)$ and $f(\infty)$ are given by $0, 2$ respectively $2, 0$ respectively $0,1$ respectively $2/5, 0$ respectively [Note : 'L' stands for 'Laplace Transform of']
If $L[f(t)]=\frac{2(s+1)}{s^{2}+2 s+5}$ then $f(0+)$ and $f(\infty)$ are given by$0, 2$ respectively$2, 0$ respectively$0,1$ respectively$2/5, 0$ respectively[Note : 'L' ...
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1078
GATE ECE 1995 | Question 1.6
The value of the resistance, $R$, connected across the terminals, $A$ and $B$, which will absorb the maximum power, is . $4.00 \; \mathrm{k} \Omega$ $4.11 \; \mathrm{k} \Omega$ $8.00 \; \mathrm{k} \Omega$ $9.00 \; \mathrm{k} \Omega$
The value of the resistance, $R$, connected across the terminals, $A$ and $B$, which will absorb the maximum power, is. $4.00 \; \mathrm{k} \Omega$$4.11 \; \mathrm{k} \Om...
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1080
GATE ECE 1995 | Question 1.8
Signal flow graph is used to find stability of the system controllability of the system transfer function of the system poles of the system
Signal flow graph is used to findstability of the systemcontrollability of the systemtransfer function of the systempoles of the system
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