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Recent questions tagged gate2005-ec

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41
GATE ECE 2005 | Question: 36
Match the following and choose the correct combination: ... $\text{E-1, F-3, G-4, H-2}$ $\text{E-5, F-3, G-4, H-1}$
Match the following and choose the correct combination:$\begin{array}{ll} \textbf{Group 1} & \textbf{Group 2} \\ \text { E. Newton-Raphson method} & \text { 1. Solving no...
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42
GATE ECE 2005 | Question: 37
Given an orthogonal matrix $A=\left[\begin{array}{cccc}1 & 1 & 1 & 1 \\ 1 & 1 & -1 & -1 \\ 1 & -1 & 0 & 0 \\ 0 & 0 & 1 & -1\end{array}\right]$ $\left[\mathrm{AA}^{\mathrm{T}}\right]^{-1}$ ...
Given an orthogonal matrix $A=\left[\begin{array}{cccc}1 & 1 & 1 & 1 \\ 1 & 1 & -1 & -1 \\ 1 & -1 & 0 & 0 \\ 0 & 0 & 1 & -1\end{array}\right]$ $\left[\mathrm{AA}^{\mathrm...
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43
GATE ECE 2005 | Question: 38
For the circuit show in the figure, the instantaneous current $i_{i}(t)$ is $\frac{10 \sqrt{3}}{2} \angle 90^{\circ} \mathrm{Amps}$. $\frac{10 \sqrt{3}}{2} \angle-90^{\circ}$ Amps. $5 \angle 60^{\circ}$ Amps. $5 \angle-60^{\circ}$ Amps.
For the circuit show in the figure, the instantaneous current $i_{i}(t)$ is$\frac{10 \sqrt{3}}{2} \angle 90^{\circ} \mathrm{Amps}$.$\frac{10 \sqrt{3}}{2} \angle-90^{\circ...
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44
GATE ECE 2005 | Question: 39
Impedance $\mathrm{Z}$ as shown in the given figure is $j 29 \Omega$ $j9 \Omega$ $j 19 \Omega$ $j 39 \Omega$
Impedance $\mathrm{Z}$ as shown in the given figure is$j 29 \Omega$$j9 \Omega$$j 19 \Omega$$j 39 \Omega$
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45
GATE ECE 2005 | Question: 40
For the circuit shown in the figure, Thevenin's voltage and Thevenin's equivalent resistance atterminals $a-b$ is $5 \mathrm{~V}$ and $2 \; \Omega$. $7.5 \mathrm{~V}$ and $2.5 \; \Omega$. $4 \mathrm{~V}$ and $2 \; \Omega$. $3 \mathrm{~V}$ and $2.5 \; \Omega$.
For the circuit shown in the figure, Thevenin's voltage and Thevenin's equivalent resistance atterminals $a-b$ is$5 \mathrm{~V}$ and $2 \; \Omega$.$7.5 \mathrm{~V}$ and $...
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GATE ECE 2005 | Question: 41
If $R_{1}=R_{2}=R_{4}=R$ and $R_{3}=1.1 R$ in the bridge circuit shown in the figure, then the reading in the ideal voltmeter connected between $a$ and $b$ is $0.238 \mathrm{~V}$. $0.138 \mathrm{~V}$. $-0.238 \mathrm{~V}$ $1 \mathrm{~V}$.
If $R_{1}=R_{2}=R_{4}=R$ and $R_{3}=1.1 R$ in the bridge circuit shown in the figure, then the reading in the ideal voltmeter connected between $a$ and $b$ is$0.238 \math...
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GATE ECE 2005 | Question: 42
The $h$ parameters of the circuit shown in the figure are $\left[\begin{array}{cc}0.1 & 0.1 \\ -0.1 & 0.3\end{array}\right]$ $\left[\begin{array}{cc}10 & -1 \\ 1 & 0.05\end{array}\right]$ $\left[\begin{array}{ll}30 & 20 \\ 20 & 20\end{array}\right]$ $\left[\begin{array}{cc}10 & 1 \\ -1 & 0.05\end{array}\right]$
The $h$ parameters of the circuit shown in the figure are$\left[\begin{array}{cc}0.1 & 0.1 \\ -0.1 & 0.3\end{array}\right]$$\left[\begin{array}{cc}10 & -1 \\ 1 & 0.05\end...
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48
GATE ECE 2005 | Question: 43
A square pulse of $3$ volts amplitude is applied to $C-R$ circuit shown in the figure. The capacitor is initially uncharged. The output voltage $\mathrm{V}_{0}$ at time $t=2 \mathrm{sec}$ is $3 \mathrm{~V}$ $-3 \mathrm{~V}$ $4 \mathrm{~V}$ $-4 \mathrm{~V}$
A square pulse of $3$ volts amplitude is applied to $C-R$ circuit shown in the figure. The capacitor is initially uncharged. The output voltage $\mathrm{V}_{0}$ at time $...
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51
GATE ECE 2005 | Question: 46
For an $\text{npn}$ transistor connected as shown in the figure, $V_{B E}=0.7$ volts. Given that reverse saturation current of the junction at room temperature $300^{\circ} \mathrm{K}$ is $10^{-13} \mathrm{~A}$, the emitter current is $30 \mathrm{~mA}$. $39 \mathrm{~mA}$. $49 \mathrm{~mA}$. $20 \mathrm{~mA}$.
For an $\text{npn}$ transistor connected as shown in the figure, $V_{B E}=0.7$ volts. Given that reverse saturation current of the junction at room temperature $300^{\cir...
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52
GATE ECE 2005 | Question: 47
The voltage $e_{0}$ indicated in the figure has been measured by an ideal voltmeter. Which of the following can be calculated? Bias current of the inverting input only Bias current of the inverting and non-inverting inputs only Input offset current only Both the bias currents and the input offset current.
The voltage $e_{0}$ indicated in the figure has been measured by an ideal voltmeter. Which of the following can be calculated?Bias current of the inverting input onlyBias...
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53
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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GATE ECE 2005 | Question: 49
In an ideal differential amplifier shown in the figure, a large value of $\left(R_{E}\right)$. increases both the differential and common-mode gains. increases the common-mode gain only. decreases the differential-mode gain only decreases the common-mode gain only.
In an ideal differential amplifier shown in the figure, a large value of $\left(R_{E}\right)$.increases both the differential and common-mode gains.increases the common-m...
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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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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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GATE ECE 2005 | Question: 57
The given figure shows a ripple counter using positive edge triggered flip-flops. If the present state of the counter is $Q_{2} \; Q_{1} \; Q_{0}=011$, then its next state $\left(Q_{2} \; Q_{1} \; Q_{n}\right)$ will be $010$ $100$ $111$ $101$
The given figure shows a ripple counter using positive edge triggered flip-flops. If the present state of the counter is $Q_{2} \; Q_{1} \; Q_{0}=011$, then its next stat...
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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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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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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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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}$$\fr...
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GATE ECE 2005 | Question: 63
The polar diagram of a conditionally stable system for open loop gain $\text{K}=1$ is shown in the figure. The open loop transfer function of the system is known to be stable. The closed loop system is stable for $\mathrm{K}<5$ ... $5<\mathrm{K}$. $\text{K}>\frac{1}{8}$ and $\text{K}<5$.
The polar diagram of a conditionally stable system for open loop gain $\text{K}=1$ is shown in the figure. The open loop transfer function of the system is known to be st...
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GATE ECE 2005 | Question: 65
Given the ideal operational amplifier circuit shown in the figure indicate the correct transfer characteristics assuming ideal diodes with zero cut-in voltage.
Given the ideal operational amplifier circuit shown in the figure indicate the correct transfer characteristics assuming ideal diodes with zero cut-in voltage.
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GATE ECE 2005 | Question: 66
A ramp input applied to an unity feedback system results in $5 \%$ steady state error. The type number and zero frequency gain of the system are respectively $1$ and $20$ $0$ and $20$ $0$ and $\frac{1}{20}$ $1$ and $\frac{1}{20}$
A ramp input applied to an unity feedback system results in $5 \%$ steady state error. The type number and zero frequency gain of the system are respectively$1$ and $20$$...
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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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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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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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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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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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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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