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TIFR ECE 2016 | Question: 6
What is the Laplace transform $F(s)$ of the signal $f(t), t \geq 0$ defined below? In $t \in[0,1),$ ... $\frac{1}{s\left(1-e^{-s / 2}\right)}$ $\frac{1}{s\left(1+e^{-s / 2}\right)}$
What is the Laplace transform $F(s)$ of the signal $f(t), t \geq 0$ defined below? In $t \in[0,1),$\[f(t)=\left\{\begin{array}{ll}1, & t \in\left[0, \frac{1}{2}\right) \\...
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TIFR ECE 2016 | Question: 8
In terms of their frequency responses, which of the following is the odd one out? All four circuits are equivalent
In terms of their frequency responses, which of the following is the odd one out? All four circuits are equivalent
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GATE ECE 2005 | Question: 81b
Statement for Linked Answer Questions $81 a$ and $81 b$: Consider an $8085$ microprocessor system If in addition following code exists from $019 \mathrm{H}$ onwards, $\text{ORI 40 H}$ $\text{ADD M}$ What will be the result in the accumulator after the last instruction is executed? $40 \; \mathrm{H}$ $20 \; \mathrm{H}$ $60 \; \mathrm{H}$ $42 \; \mathrm{H}$
Statement for Linked Answer Questions $81 a$ and $81 b$:Consider an $8085$ microprocessor systemIf in addition following code exists from $019 \mathrm{H}$ onwards,$\text{...
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GATE ECE 2005 | Question: 82b
Statement for Linked Answer Questions $82a$ and $82b:$ The dopen loop transfer function of a unity feedback system is given by \[\mathrm{G}(s)=\frac{3 e^{-2}}{s(s+2)}\] Based on the above results, the gain and phase margins of the system will be $-7.09$ ... $87.5^{\circ}$ $7.09 \mathrm{~dB}$ and $-87.5^{\circ}$ $-7.09 \mathrm{~dB}$ and $-87.5^{\circ}$
Statement for Linked Answer Questions $82a$ and $82b:$The dopen loop transfer function of a unity feedback system is given by\[\mathrm{G}(s)=\frac{3 e^{-2}}{s(s+2)}\]Base...
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GATE ECE 2005 | Question: 83b
Statement for Linked Answer Questions 83a and 83b Asymmetric three-level midtread quantizer is to be designed assuming equiprobable occurence of all quantization levels. The quantization noise power for the quantization region between $-a$ and $+a$ in the figure is $\frac{4}{81}$ $\frac{1}{9}$ $\frac{5}{81}$ $\frac{2}{81}$
Statement for Linked Answer Questions 83a and 83bAsymmetric three-level midtread quantizer is to be designed assuming equiprobable occurence of all quantization levels.Th...
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GATE ECE 2005 | Question: 84b
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 reflection coefficient is given by $-0.6$ $-1$ $0.6$ $0$
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 resi...
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GATE ECE 2005 | Question: 85b
Statement of Linked Answer Questions $85 a$ and $85b$ A sequence $x(n)$ has non-zero values as shown in the figure The Fourier transform of $y(2 n)$ will be $e^{-j2w} [\cos 4 w+2 \cos 2 w+2]$ $[\cos 2 w+2 \cos w+2]$ $e^{-jw} [\cos 2 w+2 \cos w+2]$ $e^{-j2w} [\cos 2 w+2 \cos w+2]$
Statement of Linked Answer Questions $85 a$ and $85b$A sequence $x(n)$ has non-zero values as shown in the figureThe Fourier transform of $y(2 n)$ will be$e^{-j2w} [\cos ...
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GATE ECE 1997 | Question 1.1
The current $i_4$ in the circuit of the figure is equal to $12 \mathrm{~A}$ $-12 \mathrm{~A}$ $4 \mathrm{~A}$ None of these
The current $i_4$ in the circuit of the figure is equal to$12 \mathrm{~A}$$-12 \mathrm{~A}$$4 \mathrm{~A}$None of these
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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 1.3
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 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 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 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 1.7
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 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 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 1.10
A deterministic signal has the power spectrum given in the figure is, The minimum sampling rate needed to completely represent this signal is $1 \; \mathrm{kHz}$ $2 \; \mathrm{kHz}$ $3 \; \mathrm{kHz}$ None of the above
A deterministic signal has the power spectrum given in the figure is, The minimum sampling rate needed to completely represent this signal is$1 \; \mathrm{kHz}$$2 \; \mat...
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GATE ECE 1997 | Question 1.11
The voltage $V$ in the figure is $10 \mathrm{~V}$ $15 \mathrm{~V}$ $5 \mathrm{~V}$ None of the above
The voltage $V$ in the figure is$10 \mathrm{~V}$$15 \mathrm{~V}$$5 \mathrm{~V}$None of the above
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GATE ECE 1997 | Question 2.1
In the $\text{BJT}$ amplifier shown in the figure is the transistor is based in the forward active region. Putting a capacitor across $R_E$ will decrease the voltage gain and decrease the input impedance increase the voltage gain ... the input impedance decrease the voltage gain and increase the input impedance increase the voltage gain and increase the input impedance
In the $\text{BJT}$ amplifier shown in the figure is the transistor is based in the forward active region. Putting a capacitor across $R_E$ will decrease the voltage gain...
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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 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 2.4
In a common emitter $\text{BJT}$ amplifier, the maximum usable supply voltage is limited by Avalanche breakdown of Base-Emitter junction Collector-Base breakdown voltage with emitter open $\left(\mathrm{BV}_{\mathrm{CBO}}\right)$ Collector-Emitter breakdown ... with base open $\left(\mathrm{BV}_{\mathrm{CBO}}\right)$ Zener breakdown voltage of the Emitter-Base junction
In a common emitter $\text{BJT}$ amplifier, the maximum usable supply voltage is limited byAvalanche breakdown of Base-Emitter junctionCollector-Base breakdown voltage wi...
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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 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 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 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 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}$$\mathrm{F}$
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GATE ECE 1997 | Question 2.10
In an $8085 \; \mu \; \mathrm{P}$ system, the $\text{RST}$ instruction will cause an interrupt only if an interrupt service routine is not being executed only if a bit in the interrupt mask is made $0$ only if interrupts have been enabled by an $\text{El}$ instruction None of the above
In an $8085 \; \mu \; \mathrm{P}$ system, the $\text{RST}$ instruction will cause an interruptonly if an interrupt service routine is not being executedonly if a bit in t...
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GATE ECE 1997 | Question 3.1
In the circuit of the figure is the energy absorbed by the $4 \; \Omega$ resistor in the time interval $(0, \infty)$ is $36$ Joules $16$ Joules $256$ Joules None of the above
In the circuit of the figure is the energy absorbed by the $4 \; \Omega$ resistor in the time interval $(0, \infty)$ is$36$ Joules$16$ Joules$256$ JoulesNone of the above...
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GATE ECE 1997 | Question 3.2
In the circuit of the figure is the equivalent impedance seen across terminals $\text{a, b}$ is $\left(\frac{16}{3}\right) \Omega$ $\left(\frac{8}{3}\right) \Omega$ $\left(\frac{8}{3}+12 j\right) \Omega$ None of the above
In the circuit of the figure is the equivalent impedance seen across terminals $\text{a, b}$ is$\left(\frac{16}{3}\right) \Omega$$\left(\frac{8}{3}\right) \Omega$$\left(\...
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GATE ECE 1997 | Question 3.3
In the circuit of in the figure is the current $i_{D}$ through the ideal diode (zero cut in voltage and forward resistance) equals $0 \mathrm{~A}$ $4 \mathrm{~A}$ $1 \mathrm{~A}$ None of the above
In the circuit of in the figure is the current $i_{D}$ through the ideal diode (zero cut in voltage and forward resistance) equals$0 \mathrm{~A}$$4 \mathrm{~A}$$1 \mathrm...
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GATE ECE 1997 | Question 3.4
In the signal flow graph of the figure is $\text{y/ x}$ equals $3$ $\frac{5}{2}$ $2$ None of the above
In the signal flow graph of the figure is $\text{y/ x}$ equals$3$$\frac{5}{2}$$2$None of the above
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GATE ECE 1997 | Question 3.5
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 3.6
A communication channel has first-order low pass transfer function. The channel is used to transmit pulses at a symbol rate greater than the half-power frequency of the low pass function. Which of the network shown in the figure is can be used to equalise the received pulses?
A communication channel has first-order low pass transfer function. The channel is used to transmit pulses at a symbol rate greater than the half-power frequency of the l...
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GATE ECE 1997 | Question 3.7
The power spectral density of a deterministic signal is given by $\left[\sin (f) / f^{2}\right]$ where $f$ is frequency. The autocorrelation function of this signal in the time domain is a rectangular pulse a delta function a sine pulse a triangular pulse
The power spectral density of a deterministic signal is given by $\left[\sin (f) / f^{2}\right]$ where $f$ is frequency. The autocorrelation function of this signal in th...
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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 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}$$...
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GATE ECE 1997 | Question 3.10
A very lossy, $\lambda / 4$ long, $50 \; \Omega$ transmission line is open circuited at the load end. The input impedance measured at the other end of the line is approximately $0$ $50 \; \Omega$ $\infty$ None of the above
A very lossy, $\lambda / 4$ long, $50 \; \Omega$ transmission line is open circuited at the load end. The input impedance measured at the other end of the line is approxi...
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GATE ECE 1997 | Question 3.11
The skin depth at $10\; \mathrm{MHz}$ for a conductor is $1 \; \mathrm{cm}$. The phase velocity of an electromagnetic wave in the conductor at $1,000 \; \mathrm{MHz}$ is about $6 \times 10^{6} \mathrm{~m} / \mathrm{sec}$ $6 \times 10^{7} \mathrm{~m} / \mathrm{sec}$ $3 \times 10^{8} \mathrm{~m} / \mathrm{sec}$ $6 \times 10^{8} \mathrm{~m} / \mathrm{sec}$
The skin depth at $10\; \mathrm{MHz}$ for a conductor is $1 \; \mathrm{cm}$. The phase velocity of an electromagnetic wave in the conductor at $1,000 \; \mathrm{MHz}$ is ...
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GATE ECE 1997 | Question 4.1
The output voltage $V_{0}$ of the circuit shown in the figure is $-4 \mathrm{~V}$ $6 \mathrm{~V}$ $5 \mathrm{~V}$ $-5.5 \mathrm{~V}$
The output voltage $V_{0}$ of the circuit shown in the figure is$-4 \mathrm{~V}$$6 \mathrm{~V}$$5 \mathrm{~V}$$-5.5 \mathrm{~V}$
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