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241
GATE ECE 2007 | Question: 27
If the semi-circular contour $D$ of radius $2$ is as shown in the figure, then the value of the integral $\displaystyle{}\oint_{D} \dfrac{1}{\left(s^{2}-1\right)} d s$ is $j \pi$ $-j \pi$ $-\pi$ $\pi$
If the semi-circular contour $D$ of radius $2$ is as shown in the figure, then the value of the integral $\displaystyle{}\oint_{D} \dfrac{1}{\left(s^{2}-1\right)} d s$ is...
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243
GATE ECE 2022 | Question: 28
For the circuit shown, the locus of the impedance $Z (j \omega)$ is plotted as $\omega$ increases from zero to infinity. The values of $R_{1}$ and $R_{2}$ are: $R_{1} = 2 \; \text{k} \Omega, R_{2} = 3 \; \text{k} \Omega$ ... $R_{1} = 2 \; \text{k} \Omega, R_{2} = 5 \; \text{k} \Omega$
For the circuit shown, the locus of the impedance $Z (j \omega)$ is plotted as $\omega$ increases from zero to infinity. The values of $R_{1}$ and $R_{2}$ are:$R_{1} = 2 ...
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244
GATE ECE 2000 | Question 1.23
The frequency range for satellite communication is $1 \; \mathrm{kHz}$ to $100\; \mathrm{kHz}$ $100 \; \mathrm{kHz}$ to $10 \; \mathrm{kHz}$ $10 \; \mathrm{MHz}$ to $30 \; \mathrm{MHz}$ $1 \; \mathrm{GHz}$ to $30 \; \mathrm{GHz}$
The frequency range for satellite communication is$1 \; \mathrm{kHz}$ to $100\; \mathrm{kHz}$$100 \; \mathrm{kHz}$ to $10 \; \mathrm{kHz}$$10 \; \mathrm{MHz}$ to $30 \; \...
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245
GATE ECE 1993 | Question 1.4
Which of the following is (are) valid $\text{FORTRAN} 77$ statement(s)? $\mathrm{DO} \; 131=1$ $\mathrm{A}=\mathrm{DIM}^{* * *} 7$ $\text{READ}$ $=15.0$ $\text{GOTO}$ $3=10$
Which of the following is (are) valid $\text{FORTRAN} 77$ statement(s)?$\mathrm{DO} \; 131=1$$\mathrm{A}=\mathrm{DIM}^{* * *} 7$$\text{READ}$ $=15.0$$\text{GOTO}$ $3=10$
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248
GATE ECE 1996 | Question 1.9
The circuit shown in the figure is that of a non-inverting amplifier an inverting amplifier an oscillator a Schmitt Trigger
The circuit shown in the figure is that ofa non-inverting amplifieran inverting amplifieran oscillatora Schmitt Trigger
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251
GATE ECE 1991 | Question 1.29
An $\text{S-R FLIP-FLOP}$ can be converted into a $\textsf{T FLIP FLOP}$ by connecting __________ to $\mathrm{Q}$ and ___________ to $\mathrm{Q}$.
An $\text{S-R FLIP-FLOP}$ can be converted into a $\textsf{T FLIP FLOP}$ by connecting __________ to $\mathrm{Q}$ and ___________ to $\mathrm{Q}$.
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252
GATE ECE 2022 | Question: 18
Select the correct statement(s) regarding $\text{CMOS}$ implementation of $\text{NOT}$ gates. Noise Margin High $(NM_{H})$ is always equal to the Noise Margin Low $(NM_{L}),$ irrespective of the sizing of transistors. Dynamic power consumption ... $\text{NOT}$ gate.
Select the correct statement(s) regarding $\text{CMOS}$ implementation of $\text{NOT}$ gates.Noise Margin High $(NM_{H})$ is always equal to the Noise Margin Low $(NM_{L}...
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253
GATE ECE 2023 | Question: 25
In the circuit shown below, switch $\mathrm{S}$ was closed for a long time. If the switch is opened at $t=0$, the maximum magnitude of the voltage $\mathrm{V}_{\mathrm{R}}, \text{in volts,}$ is_____________ (rounded off to the nearest integer).
In the circuit shown below, switch $\mathrm{S}$ was closed for a long time. If the switch isopened at $t=0$, the maximum magnitude of the voltage $\mathrm{V}_{\mathrm{R}}...
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254
GATE ECE 2023 | Question: 31
A closed loop system is shown in the figure where $\mathrm{k}>0$ and $\alpha>0$. The steady state error due to a ramp input $\left(\mathrm{R}(\mathrm{s})=\alpha / \mathrm{s}^2\right)$ is given by $\frac{2 \alpha}{\mathrm{k}}$ $\frac{\alpha}{\mathrm{k}}$ $\frac{\alpha}{2 \mathrm{k}}$ $\frac{\alpha}{4 \mathrm{k}}$
A closed loop system is shown in the figure where $\mathrm{k}>0$ and $\alpha>0$. The steady state error due to a ramp input $\left(\mathrm{R}(\mathrm{s})=\alpha / \mathrm...
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255
GATE ECE 2009 | Question: 31
In the circuit below, the diode is ideal. The voltage $V$ is given by $\min \left(V_{i}, 1\right)$ $\max \left(V_{i}, 1\right)$ $\min \left(-V_{i}, 1\right)$ $\max \left(-V_{i}, 1\right)$
In the circuit below, the diode is ideal. The voltage $V$ is given by$\min \left(V_{i}, 1\right)$$\max \left(V_{i}, 1\right)$$\min \left(-V_{i}, 1\right)$$\max \left(-V_{...
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257
GATE ECE 2023 | Question: 46
In an extrinsic semiconductor, the hole concentration is given to be $1.5 n_{i}$ where $n_{i}$ is the intrinsic carrier concentration of $1 \times 10^{10} \mathrm{~cm}^{-3}$. The ratio of electron to hole mobility for equal hole and electron drift current is given as ________ (rounded off to two decimal places).
In an extrinsic semiconductor, the hole concentration is given to be $1.5 n_{i}$ where $n_{i}$ is the intrinsic carrier concentration of $1 \times 10^{10} \mathrm{~cm}^{-...
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258
GATE ECE 1997 | Question 3.2
In the circuit of the figure is the equivalent impedance seen across terminals $\text{a, b}$ is $\left(\frac{16}{3}\right) \Omega$ $\left(\frac{8}{3}\right) \Omega$ $\left(\frac{8}{3}+12 j\right) \Omega$ None of the above
In the circuit of the figure is the equivalent impedance seen across terminals $\text{a, b}$ is$\left(\frac{16}{3}\right) \Omega$$\left(\frac{8}{3}\right) \Omega$$\left(\...
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259
GATE ECE 1997 | Question 3.9
A parabolic dish antenna has a conical beam $2^{\circ}$ wide, the directivity of the antenna is approximately $20 \; d \mathrm{B}$ $30 \; d \mathrm{B}$ $40 \; d \mathrm{B}$ $50 \; d \mathrm{B}$
A parabolic dish antenna has a conical beam $2^{\circ}$ wide, the directivity of the antenna is approximately$20 \; d \mathrm{B}$$30 \; d \mathrm{B}$$40 \; d \mathrm{B}$$...
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260
GATE ECE 2000 | Question 1.16
The number of hardware interrupts (which require an external signal to interrupt) present in an $8085$ microprocessor are $1$ $4$ $5$ $13$
The number of hardware interrupts (which require an external signal to interrupt) present in an $8085$ microprocessor are$1$$4$$5$$13$
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262
GATE ECE 2003 | Question: 20
A $0$ to $6$ counter consists of $3$ flip flops and a combination circuit of $2$ input gate(s). The combination circuit consists of one AND gate one OR gate one AND gate and one OR gate two AND gates
A $0$ to $6$ counter consists of $3$ flip flops and a combination circuit of $2$ input gate(s). The combination circuit consists ofone AND gateone OR gateone AND gate and...
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263
GATE ECE 2008 | Question: 35
Let $x(t)$ be the input and $y(t)$ be the output of a continuous time system. Match the system properties $\mathrm{P} 1, \mathrm{P} 2$ and $\mathrm{P} 3$ with system relations $\mathrm{R} 1, \mathrm{R} 2, \mathrm{R} 3, \mathrm{R} 4 .$ ... $\text{(P1, R3), (P2, R1), (P3, R2)}$ $\text{(P1, R1), (P2, R2), (P3, R3)}$
Let $x(t)$ be the input and $y(t)$ be the output of a continuous time system. Match the system properties $\mathrm{P} 1, \mathrm{P} 2$ and $\mathrm{P} 3$ with system rela...
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266
GATE ECE 2023 | Question: 54
In the circuit below, the voltage $V_L$ is _________ $\mathrm{V}$ (rounded off to two decimal places).
In the circuit below, the voltage $V_L$ is _________ $\mathrm{V}$ (rounded off to two decimal places).
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267
GATE ECE 2000 | Question 1.6
Introducing a resistor in the emitter of a common amplifier stabilizes the $\text{dc}$ operating point against variations in only the temperature only the $\beta$ of the transistor both temperature and $\beta$ none of these
Introducing a resistor in the emitter of a common amplifier stabilizes the $\text{dc}$ operating point against variations inonly the temperatureonly the $\beta$ of the tr...
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268
GATE ECE 2000 | Question 1.17
The most commonly used amplifier in sample and hold circuits is a unity gain inverting amplifier a unity gain non-inverting amplifier an inverting amplifier with a gain of $10$ an inverting amplifier with a gain of $100$
The most commonly used amplifier in sample and hold circuits isa unity gain inverting amplifiera unity gain non-inverting amplifieran inverting amplifier with a gain of $...
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270
GATE ECE 1991 | Question 1.26
Two dimensional addressing of $256 \times 8$ bit $\text{ROM}$ using to $1$ selectors requires ________ (how many?) $\text{NAND}$ gates.
Two dimensional addressing of $256 \times 8$ bit $\text{ROM}$ using to $1$ selectors requires ________ (how many?) $\text{NAND}$ gates.
1 votes
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272
GATE ECE 2006 | Question: 21
The eigenvalues and the corresponding eigen vectors of a $2 \times 2$ ... $\left[\begin{array}{ll}4 & 8 \\ 8 & 4\end{array}\right]$
The eigenvalues and the corresponding eigen vectors of a $2 \times 2$ matrix are given by$$\begin{array}{cc} \textbf{Eigenvalue}& \textbf{Eigenvector} \\ \lambda_1=8 & \t...
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273
GATE ECE 2008 | Question: 7
In the following graph, the number of trees $\text{(P)}$ and the number of cut-sets $\text{(Q)}$ are $\mathrm{P}=2, \mathrm{Q}=2$ $\mathrm{P}=2, \mathrm{Q}=6$ $\mathrm{P}=4, \mathrm{Q}=6$ $\mathrm{P}=4, \mathrm{Q}=10$
In the following graph, the number of trees $\text{(P)}$ and the number of cut-sets $\text{(Q)}$ are$\mathrm{P}=2, \mathrm{Q}=2$$\mathrm{P}=2, \mathrm{Q}=6$$\mathrm{P}=4,...
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275
GATE ECE 2004 | Question: 35
For the circuit shown in the figure, the initial conditions are zero. Its transfer function $ H(s) = \frac{V_{c}(s)}{V_{i}(s)}$ $\frac{1}{s^{2}+10^{6} s+10^{6}}$ $\frac{10^{6}}{s^{2}+10^{3} s+10^{6}}$ $\frac{10^{3}}{s^{2}+10^{3} s+10^{6}}$ $\frac{10^{6}}{s^{2}+10^{6} s+10^{6}}$
For the circuit shown in the figure, the initial conditions are zero. Its transfer function$$ H(s) = \frac{V_{c}(s)}{V_{i}(s)}$$$\frac{1}{s^{2}+10^{6} s+10^{6}}$$\frac{10...
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276
GATE ECE 2000 | Question 2.6
if the $\text{op-amp}$ in given figure, has an input offset voltage of $5 \; \mathrm{mV}$ and an open-loop voltage gain of $10,000,$ then $v_{0}$ will be $0 \mathrm{~V}$ $5 \; \mathrm{mV}$ $+15 \mathrm{~V}$ or $-15 \mathrm{~V}$ $+50 \mathrm{~V}$ or $-50 \mathrm{~V}$
if the $\text{op-amp}$ in given figure, has an input offset voltage of $5 \; \mathrm{mV}$ and an open-loop voltage gain of $10,000,$ then $v_{0}$ will be$0 \mathrm{~V}$$5...
1 votes
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277
GATE ECE 2006 | Question: 5
A solution for the differential equation $ \qquad \dot{x}(t)+2 x(t)=\delta(t)$ with initial condition $x(0-)=0$ is $e^{-2 t} \; u(t)$ $e^{2 t} \; u(t)$ $e^{-t} \; u(t)$ $e^{t} \; u(t)$
A solution for the differential equation$ \qquad \dot{x}(t)+2 x(t)=\delta(t)$with initial condition $x(0-)=0$ is$e^{-2 t} \; u(t)$$e^{2 t} \; u(t)$$e^{-t} \; u(t)$$e^{t} ...
1 votes
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278
GATE ECE 2006 | Question: 28
Consider the function $f(t)$ having Laplace transform $ \text{F}(s)=\frac{\omega_0}{s^2+\omega_0^2} \operatorname{Re}[s]>0 $ The final value of $f(t)$ would be $0$ $1$ $-1 \leq f(\infty) \leq 1$ $\infty$
Consider the function $f(t)$ having Laplace transform $$ \text{F}(s)=\frac{\omega_0}{s^2+\omega_0^2} \operatorname{Re}[s]>0 $$ The final value of $f(t)$ would be$0$$1$$-1...
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