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201
GATE ECE 1997 | Question 1.3
The voltage $\mathrm{V}$ in the figure is always equal to $9 \mathrm{~V}$ $5 \mathrm{~V}$ $1 \mathrm{~V}$ None of the above
The voltage $\mathrm{V}$ in the figure is always equal to$9 \mathrm{~V}$$5 \mathrm{~V}$$1 \mathrm{~V}$None of the above
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GATE ECE 1997 | Question 2.9
The output of the logic gate in the figure is $0$ $1$ $\text{A}$ $\mathrm{F}$
The output of the logic gate in the figure is$0$$1$$\text{A}$$\mathrm{F}$
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GATE ECE 1997 | Question 2.2
A cascade amplifier stage is equivalent to a common emitter stage followed by a common base stage a common base stage followed by an emitter follower an emitter follower stage followed by a common base stage a common base stage followed by a common emitter stage
A cascade amplifier stage is equivalent toa common emitter stage followed by a common base stagea common base stage followed by an emitter followeran emitter follower sta...
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GATE ECE 1997 | Question 4.8
In a $\text{J-K}$ flip-flip we have $\text{J=Q}$ and $\text{K}=1$. Assuming the flip flop was initially cleared and then clocked for $6$ puleses, the sequence at the $\text{Q}$ output will be $010000$ $011001$ $010010$ $010101$
In a $\text{J-K}$ flip-flip we have $\text{J=Q}$ and $\text{K}=1$. Assuming the flip flop was initially cleared and then clocked for $6$ puleses, the sequence at the $\te...
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GATE ECE 1997 | Question 3.5
A certain linear time invariant system has the state and the output equations given below \[ \begin{array}{c} {\left[\begin{array}{l} \dot{\mathrm{X}}_{1} \\ \dot{\mathrm{X}}_{2} \end{array}\right]=\left[\begin{array}{rr} 1 & -1 \\ 0 & 1 \end{array}\right]\left[\ ... $\left.\frac{d y}{d t}\right|_{t=0}$ is $1$ $-1$ $0$ None of the above
A certain linear time invariant system has the state and the output equations given below\[\begin{array}{c}{\left[\begin{array}{l}\dot{\mathrm{X}}_{1} \\\dot{\mathrm{X}}_...
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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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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}$$...
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GATE ECE 1997 | Question 2.3
For a $\text{MOS}$ capacitor fabricated on a $p$-type semiconductor, strong inversion occurs when surface potential is equal to Fermi potential surface potential is zero surface potential is negative and equal to Fermi potential in magnitude surface potential is positive and equal to twice the Fermi potential
For a $\text{MOS}$ capacitor fabricated on a $p$-type semiconductor, strong inversion occurs whensurface potential is equal to Fermi potentialsurface potential is zerosur...
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GATE ECE 1997 | Question 1.9
A probability density fucntion is given by $p(x)=\mathrm{K} e^{-x^2 / 2}-\infty<x<\infty$. The value of $K$ should be $\frac{1}{\sqrt{2 \pi}}$ $\sqrt{\frac{2}{\pi}}$ $\frac{1}{2 \sqrt{\pi}}$ $\frac{1}{\pi \sqrt{2}}$
A probability density fucntion is given by $p(x)=\mathrm{K} e^{-x^2 / 2}-\infty<x<\infty$. The value of $K$ should be$\frac{1}{\sqrt{2 \pi}}$$\sqrt{\frac{2}{\pi}}$$\frac{...
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GATE ECE 1997 | Question 2.7
In standard $\text{TTL}$, the 'totem pole' stage refers to the multi-emitter input stage the phase splitter the output buffer open collector output stage
In standard $\text{TTL}$, the 'totem pole' stage refers tothe multi-emitter input stagethe phase splitterthe output bufferopen collector output stage
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GATE ECE 2000 | Question 1.14
The amplitude modulated wave form $s(t)=A_{c}\left[1+K_{a} m(t)\right] \cos \omega_{c} t$ is fed to an ideal envelope detector. The maximum magnitude of $\mathrm{K}_{0} m(t)$ is greater than $1$ ... $\mathrm{A}_{c}\left[1+\mathrm{K}_{a} m(t)\right]^{2}$
The amplitude modulated wave form $s(t)=A_{c}\left[1+K_{a} m(t)\right] \cos \omega_{c} t$ is fed to an ideal envelope detector. The maximum magnitude of $\mathrm{K}_{0} m...
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GATE ECE 1997 | Question 4.3
The following insturctions have been executed by an $8085 \; \mu \mathrm{P}$ ... $6019$ $6379$ $6979$ None of the above
The following insturctions have been executed by an $8085 \; \mu \mathrm{P}$$\begin{array}{cl}\text { ADDRESS (HEX) } & \text { INSTRUCTION } \\ 6010 & \text { LXI H, 8A ...
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GATE ECE 1997 | Question 1.6
A transmission line of $50 \; \Omega$ characteristic impedance is terminated with a $100 \; \Omega$ resistance. The minimum impedance measured on the line is equal to $0 \; \Omega$ $25 \; \Omega$ $50 \; \Omega$ $100 \; \Omega$
A transmission line of $50 \; \Omega$ characteristic impedance is terminated with a $100 \; \Omega$ resistance. The minimum impedance measured on the line is equal to$0 ...
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GATE ECE 1997 | Question: 1.2
The voltage $\mathrm{V}$ in the figure is equal to $3 \mathrm{~V}$ $-3 \mathrm{~V}$ $5 \mathrm{~V}$ None of these
The voltage $\mathrm{V}$ in the figure is equal to$3 \mathrm{~V}$$-3 \mathrm{~V}$$5 \mathrm{~V}$None of these
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GATE ECE 1997 | Question 1.7
A rectangular air-filled waveguide has cross section of $4 \mathrm{~cm} \times 10 \mathrm{~cm}$. The minimum frequency which can propagate in the waveguide is $1.5\; \mathrm{GHz}$ $2.0\; \mathrm{GHz}$ $2.5\; \mathrm{GHz}$ $3.0\; \mathrm{GHz}$
A rectangular air-filled waveguide has cross section of $4 \mathrm{~cm} \times 10 \mathrm{~cm}$. The minimum frequency which can propagate in the waveguide is$1.5\; \math...
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GATE ECE 1997 | Question 4.1
The output voltage $V_{0}$ of the circuit shown in the figure is $-4 \mathrm{~V}$ $6 \mathrm{~V}$ $5 \mathrm{~V}$ $-5.5 \mathrm{~V}$
The output voltage $V_{0}$ of the circuit shown in the figure is$-4 \mathrm{~V}$$6 \mathrm{~V}$$5 \mathrm{~V}$$-5.5 \mathrm{~V}$
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GATE ECE 2000 | Question 2.11
In given figure, the $J$ and $K$ inputs of all the four Flip-Flips are made high. The frequency of the signal at output $Y$ is $0.833 \; \mathrm{kHz}$ $1.0 \; \mathrm{kHz}$ $0.91 \; \mathrm{kHz}$ $0.77 \; \mathrm{kHz}$
In given figure, the $J$ and $K$ inputs of all the four Flip-Flips are made high. The frequency of the signal at output $Y$ is$0.833 \; \mathrm{kHz}$$1.0 \; \mathrm{kHz}$...
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GATE ECE 1997 | Question 2.6
A $2$ bit binary multiplier can be implemented using $2$ inputs $\text{ANDs}$ only $2$ input $\text{XOR s}$ and $4$ input $\text{AND}$ gates only Two $2$ inputs $\text{NORs}$ and one $\text{XNOR}$ gate $\text{XOR}$ gates and shift registers
A $2$ bit binary multiplier can be implemented using$2$ inputs $\text{ANDs}$ only$2$ input $\text{XOR s}$ and $4$ input $\text{AND}$ gates onlyTwo $2$ inputs $\text{NORs}...
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GATE ECE 1997 | Question 4.6
The intrinsic carrier density at $300 \mathrm{~K}$ is $1.5 \times 10^{10}$ / $\mathrm{cm}^{3}$, in silicon. For $n$-type silicon doped to $2.25 \times$ $10^{15}$ atoms $/ \mathrm{cm}^{3}$ ... $n=1.5 \times 10^{10} / \mathrm{cm}^{3}, p=1.5 \times 10^{10} / \mathrm{cm}^{3}$
The intrinsic carrier density at $300 \mathrm{~K}$ is $1.5 \times 10^{10}$ / $\mathrm{cm}^{3}$, in silicon. For $n$-type silicon doped to $2.25 \times$ $10^{15}$ atoms $/...
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GATE ECE 1997 | Question 2.8
The inverter $74 \; \mathrm{ALSO} 4$ has the following specifications \[ \begin{array}{l} \mathrm{I}_{\text {OH } \max }=-0.4 \mathrm{~mA}, \mathrm{l}_{\text {OLmax }}=8 \mathrm{~mA}, \mathrm{l}_{i H_{\max }}=20 \mathrm{~mA} \text {, } \\ \mathrm{l}_{\text {iLmax }}=-0.1 \mathrm{~mA} \text {, } \end{array} \] The fan-out based on the above will be $10$ $20$ $60$ $100$
The inverter $74 \; \mathrm{ALSO} 4$ has the following specifications\[ \begin{array}{l}\mathrm{I}_{\text {OH } \max }=-0.4 \mathrm{~mA}, \mathrm{l}_{\text {OLmax }}=8 \m...
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GATE ECE 1997 | Question 3.10
A very lossy, $\lambda / 4$ long, $50 \; \Omega$ transmission line is open circuited at the load end. The input impedance measured at the other end of the line is approximately $0$ $50 \; \Omega$ $\infty$ None of the above
A very lossy, $\lambda / 4$ long, $50 \; \Omega$ transmission line is open circuited at the load end. The input impedance measured at the other end of the line is approxi...
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GATE ECE 1997 | Question 4.7
For the $\text{NMOS}$ logic gate shown in the figure is the logic function implemented is $\overline{\mathrm{ABCDE}}$ $(\mathrm{AB}+\overline{\mathrm{C}}) \cdot(\overline{\mathrm{D}+\mathrm{E}})$ ... $(\overline{\mathrm{A}+\mathrm{B}}) \cdot \mathrm{C}+\overline{\mathrm{D}} \cdot \overline{\mathrm{E}}$
For the $\text{NMOS}$ logic gate shown in the figure is the logic function implemented is$\overline{\mathrm{ABCDE}}$$(\mathrm{AB}+\overline{\mathrm{C}}) \cdot(\overline{\...
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GATE ECE 1997 | Question 4.5
A half wave rectifier uses a diode with a forward resistance $\text{Rf}$. The voltage is $\text{V}_\text{m} \sin \omega t$ and the load resistance is $\text{R}_\text{L}$. The $\text{DC}$ ... $\frac{2 \mathrm{Vm}}{\sqrt{\pi}}$ $\frac{\mathrm{V}_{m}}{\mathrm{R}_{\mathrm{L}}}$
A half wave rectifier uses a diode with a forward resistance $\text{Rf}$. The voltage is $\text{V}_\text{m} \sin \omega t$ and the load resistance is $\text{R}_\text{L}$....
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GATE ECE 1997 | Question 3.4
In the signal flow graph of the figure is $\text{y/ x}$ equals $3$ $\frac{5}{2}$ $2$ None of the above
In the signal flow graph of the figure is $\text{y/ x}$ equals$3$$\frac{5}{2}$$2$None of the above
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GATE ECE 1997 | Question 3.3
In the circuit of in the figure is the current $i_{D}$ through the ideal diode (zero cut in voltage and forward resistance) equals $0 \mathrm{~A}$ $4 \mathrm{~A}$ $1 \mathrm{~A}$ None of the above
In the circuit of in the figure is the current $i_{D}$ through the ideal diode (zero cut in voltage and forward resistance) equals$0 \mathrm{~A}$$4 \mathrm{~A}$$1 \mathrm...
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GATE ECE 1997 | Question 1.8
The line code that has zero $\text{dc}$ component for pulse transmission of random binary data is Non-return to zero $\text{(NRZ)}$ Retrun to zero $\text{(RZ)}$ Alternate Mark Inversion $\text{(AM)}$ None of the above
The line code that has zero $\text{dc}$ component for pulse transmission of random binary data isNon-return to zero $\text{(NRZ)}$Retrun to zero $\text{(RZ)}$Alternate Ma...
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GATE ECE 1997 | Question 2.10
In an $8085 \; \mu \; \mathrm{P}$ system, the $\text{RST}$ instruction will cause an interrupt only if an interrupt service routine is not being executed only if a bit in the interrupt mask is made $0$ only if interrupts have been enabled by an $\text{El}$ instruction None of the above
In an $8085 \; \mu \; \mathrm{P}$ system, the $\text{RST}$ instruction will cause an interruptonly if an interrupt service routine is not being executedonly if a bit in t...
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GATE ECE 1997 | Question 3.8
An amplifier A has $6 \; d \mathrm{B}$ gain and $50 \; \Omega$ input and output impedances. The noise figure of this amplifier as shown in the figure is $(a)$ is $3 \; d \mathrm{B}$. A cascade of two such amplifiers as in the figure is will have a noise figure of $6 \; d \mathrm{B}$ $8 \; d \mathrm{B}$ $12 \;d \mathrm{B}$ None of the above
An amplifier A has $6 \; d \mathrm{B}$ gain and $50 \; \Omega$ input and output impedances. The noise figure of this amplifier as shown in the figure is $(a)$ is $3 \; d ...
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GATE ECE 1997 | Question 1.4
The function $f(t)$ has the Fourier Transform $g(\omega)$. The Fourier Transform $f f(t) g(t)\left(=\int_{-\infty}^{\infty} g(t) e^{-j \omega t} d t\right)$ is $\frac{1}{2 \pi} f(\omega)$ $\frac{1}{2 \pi} f(-\omega)$ $2 \pi f(-\omega)$ None of the above
The function $f(t)$ has the Fourier Transform $g(\omega)$. The Fourier Transform$f f(t) g(t)\left(=\int_{-\infty}^{\infty} g(t) e^{-j \omega t} d t\right)$ is$\frac{1}{2 ...
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GATE ECE 1997 | Question 2.5
Each cell of a Static Random Access Memory contains $6 \; \text{MOS}$ transistors $4 \; \mathrm{MOS}$ transistors and $2$ capacitors $2 \; \text{MOS}$ transistors and $4$ capacitors $1 \; \text{MOS}$ transistor and $1$ capacitor
Each cell of a Static Random Access Memory contains$6 \; \text{MOS}$ transistors$4 \; \mathrm{MOS}$ transistors and $2$ capacitors$2 \; \text{MOS}$ transistors and $4$ ca...
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GATE ECE 2002 | Question: 2.10
The circuit in the figure is has two $\text{CMOS NOR}$-gates. This circuit functions as a flip-flop schmitt trigger nonostable multivibrator astable multivibrator
The circuit in the figure is has two $\text{CMOS NOR}$-gates. This circuit functions as aflip-flopschmitt triggernonostable multivibratorastable multivibrator
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GATE ECE 2000 | Question 1.8
An amplifier with resistive negative feedback has two left half plane poles in its open-loop transfer function. The amplifier will always be unstable at high frequencies will be stable for all frequencies may be unstable, depending on the feedback factor will oscillate at low frequencies
An amplifier with resistive negative feedback has two left half plane poles in its open-loop transfer function. The amplifierwill always be unstable at high frequencieswi...
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GATE ECE 1999 | Question 2.12
The ripple counter shown in the given figure is works as a $\bmod -3$ up counter $\bmod -5$ up counter $\bmod - 3$ down counter $\bmod - 5$ down counter
The ripple counter shown in the given figure is works as a$\bmod -3$ up counter$\bmod -5$ up counter$\bmod - 3$ down counter$\bmod - 5$ down counter
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GATE ECE 2001 | Question: 1.12
For the ring oscillator shown in the figure, the propagation delay of each inverter is $100$ pico sec. What is the fundamental frequency of the oscillator output? $10 \; \mathrm{MHz}$ $100 \; \mathrm{MHz}$ $1 \; \mathrm{GHz}$ $2 \; \mathrm{GHz}$
For the ring oscillator shown in the figure, the propagation delay of each inverter is $100$ pico sec. What is the fundamental frequency of the oscillator output?$10 \; \...
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GATE ECE 1997 | Question 1.5
The Laplace Transform of $e \alpha t \cos (\alpha \; t)$ is equal to $\frac{(s-\alpha)}{(s-\alpha)^2+\alpha^2}$ $\frac{(s+\alpha)}{(s-\alpha)^2+\alpha^2}$ $\frac{1}{(s-\alpha)^2}$ None of the above
The Laplace Transform of $e \alpha t \cos (\alpha \; t)$ is equal to$\frac{(s-\alpha)}{(s-\alpha)^2+\alpha^2}$$\frac{(s+\alpha)}{(s-\alpha)^2+\alpha^2}$$\frac{1}{(s-\alph...
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GATE ECE 1997 | Question 30
A dipole antenna has a $\sin \theta$ radiation pattern where the angle $\theta$ ... in the radiation pattern at an angle of $45^{\circ}$ from the ground plane? Find the direction of maximum radiation also.
A dipole antenna has a $\sin \theta$ radiation pattern where the angle $\theta$ is measured from the axis of the dipole. The dipole is vertically located above an ideal g...
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GATE ECE 2006 | Question: 45
For the circuit shown in figure below, two $4$ ... $\mathrm{S}=1, \mathrm{C}_{0}=0$ $\mathrm{S}=1, \mathrm{C}_{0}=1$
For the circuit shown in figure below, two $4$-bit parallel-in serial-out shift registers loaded with the data shown are used to feed the data to a full adder. Initially,...
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GATE ECE 2000 | Question 2.1
The eigen values of the matrix $\left[\begin{array}{rrrr}2 & -1 & 0 & 0 \\ 0 & 3 & 0 & 0 \\ 0 & 0 & -2 & 0 \\ 0 & 0 & -1 & 4\end{array}\right]$ are $2,-2,1,-1$ $2, 3, -2, 4$ $2,3,1,4$ None of these
The eigen values of the matrix $\left[\begin{array}{rrrr}2 & -1 & 0 & 0 \\ 0 & 3 & 0 & 0 \\ 0 & 0 & -2 & 0 \\ 0 & 0 & -1 & 4\end{array}\right]$ are$2,-2,1,-1$$2, 3, -2, 4...
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GATE ECE 2000 | Question 1.7
The current gain of a bipolar transistor drops at high frequencies because of transistor capacitances high current effects in the base parasitic inductive elements the Early effect
The current gain of a bipolar transistor drops at high frequencies because oftransistor capacitanceshigh current effects in the baseparasitic inductive elementsthe Early ...
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GATE ECE 2000 | Question 2.15
In a digital communication system employing Frequency Shift Keying $\text{(FSK)}$, the $0$ and $1$ bit are represented by sine waves of $10 \; \mathrm{kHz}$ and $25 \; \mathrm{kHz}$ respectively. These waveforms will be orthogonal for a bit interval of $45 \; \mu \mathrm{sec}$ $200 \; \mu \mathrm{sec}$ $50 \; \mu \mathrm{sec}$ $250 \; \mu \mathrm{sec}$
In a digital communication system employing Frequency Shift Keying $\text{(FSK)}$, the $0$ and $1$ bit are represented by sine waves of $10 \; \mathrm{kHz}$ and $25 \; \m...
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