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2761
GATE ECE 2011 | Question: 56
The question below consists of a pair of related words followed by four pairs of words. Select the pair that best expresses the relation in the original pair: Gladiator : Arena dancer : stage commuter : train teacher : classroom lawyer : courtroom
The question below consists of a pair of related words followed by four pairs of words. Select the pair that best expresses the relation in the original pair:Gladiator : ...
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2767
GATE ECE 1999 | Question 15
The asymptotic Bode plot of the minimum phase open-loop transfer function $\mathrm{G}(\mathrm{s}) \mathrm{H}(s)$ in as shown in the figure is Obtain the transfer function $\mathrm{G}(\mathrm{s}) \mathrm{H}(\mathrm{s})$
The asymptotic Bode plot of the minimum phase open-loop transfer function $\mathrm{G}(\mathrm{s}) \mathrm{H}(s)$ in as shown in the figure is Obtain the transfer function...
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2770
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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2772
GATE ECE 2007 | Question: 59
The raised cosine pulse $p(t)$ is used for zero ISI in digital communications. The expression for $p(t)$ with unity roll-off factor is given by $p(t)=\dfrac{\sin 4 \pi W t}{4 \pi W t\left(1-16 W^{2} t^{2}\right)}$. The value of $p(t)$ at $t=\dfrac{1}{4 W}$ is $-0.5$ $0$ $0.5$ $\infty$
The raised cosine pulse $p(t)$ is used for zero ISI in digital communications. The expression for $p(t)$ with unity roll-off factor is given by $p(t)=\dfrac{\sin 4 \pi W ...
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2774
GATE ECE 1993 | Question 6.4
If $\tau \mathrm{F}(\mathrm{s})=[f(t)]=\frac{\mathrm{K}}{(\mathrm{s}+1)\left(\mathrm{s}^{2}+4\right)}$ then $\lim _{t \rightarrow \infty} f(t)$ is given by $\mathrm{K} / 4$ zero infinite undefined
If $\tau \mathrm{F}(\mathrm{s})=[f(t)]=\frac{\mathrm{K}}{(\mathrm{s}+1)\left(\mathrm{s}^{2}+4\right)}$ then $\lim _{t \rightarrow \infty} f(t)$ is given by$\mathrm{K} / 4...
1 votes
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2777
GATE ECE 2010 | Question: 31
Given $f(t)=\mathscr{L}^{-1}\left[\dfrac{3 s+1}{s^{3}+4 s^{2}+(K-3) s}\right]$. If $\displaystyle{}\lim _{t \rightarrow \infty} f(t)=1$, then the value of $K$ is $1$ $2$ $3$ $4$
Given $f(t)=\mathscr{L}^{-1}\left[\dfrac{3 s+1}{s^{3}+4 s^{2}+(K-3) s}\right]$. If $\displaystyle{}\lim _{t \rightarrow \infty} f(t)=1$, then the value of $K$ is$1$$2$$3$...
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2778
GATE ECE 2010 | Question: 34
In the circuit shown, the power supplied by the voltage source is $0 \mathrm{~W}$ $5 \mathrm{~W}$ $10 \mathrm{~W}$ $100 \mathrm{~W}$
In the circuit shown, the power supplied by the voltage source is$0 \mathrm{~W}$$5 \mathrm{~W}$$10 \mathrm{~W}$$100 \mathrm{~W}$
1 votes
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2779
GATE ECE 2010 | Question: 52
The silicon sample with unit cross-sectional area shown below is in thermal equilibrium. The following information is given: $\text{T}=300 \mathrm{~K}$, electronic charge $=1.6 \times 10^{-19} \mathrm{C}$, thermal voltage $=26 \; \mathrm{mV}$ ... $10 \; \mathrm{kV} / \mathrm{cm}$ $26 \; \mathrm{kV} / \mathrm{cm}$
The silicon sample with unit cross-sectional area shown below is in thermal equilibrium. The following information is given: $\text{T}=300 \mathrm{~K}$, electronic charge...
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2780
GATE ECE 2010 | Question: 53
The silicon sample with unit cross-sectional area shown below is in thermal equilibrium. The following information is given: $\text{T}=300 \mathrm{~K}$, electronic charge $=1.6 \times 10^{-19} \mathrm{C}$, thermal voltage $=26 \; \mathrm{mV}$ ... $6.48 \times 10^{2} \mathrm{~A} / \mathrm{cm}^{2}$
The silicon sample with unit cross-sectional area shown below is in thermal equilibrium. The following information is given: $\text{T}=300 \mathrm{~K}$, electronic charge...
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2781
GATE ECE 1991 | Question 5
It is required to use a $\text{JFET}$ of figure as linear resistor. The parameters of the $\text{JFET}$ ... are negligible. Determine the minimum value of the linear resistor which can be realized using this $\text{JFET}$ without forward biasing the gate junctions.
It is required to use a $\text{JFET}$ of figure as linear resistor. The parameters of the $\text{JFET}$ are as follows: $$ \mathrm{W}=100 \mu \mathrm{m}, \mathrm{L}=\mu \...
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2782
GATE ECE 1991 | Question 6
In figure, the operational amplifier is ideal and its output can swing between $-15$ and $+15$ volts. The input $v_\rho$ which is zero for $t<0$, is switched to $5$ volts at the instant $\mathrm{t}=0$. Given that the output $v_0$ is ... $v_0$ and $v_i$. You must give the values of important parameters of this sketch.
In figure, the operational amplifier is ideal and its output can swing between $-15$ and $+15$ volts. The input $v_\rho$ which is zero for $t<0$, is switched to $5$ volts...
1 votes
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2784
TIFR ECE 2014 | Question: 16
A fair dice (with faces numbered $1, \ldots, 6$ ) is independently rolled twice. Let $X$ denote the maximum of the two outcomes. The expected value of $X$ is $4 \frac{1}{2}$ $3 \frac{1}{2}$ $5$ $4 \frac{17}{36} $ $4 \frac{3}{4}$
A fair dice (with faces numbered $1, \ldots, 6$ ) is independently rolled twice. Let $X$ denote the maximum of the two outcomes. The expected value of $X$ is$4 \frac{1}{2...
1 votes
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2785
TIFR ECE 2010 | Question: 12
Consider a system with input $x(t)$ and the output $y(t)$ is given by \[ y(t)=x(t)-\sin (t) x(t-1)-0.5 x(t+2)+1 . \] The system is Non-linear Non-causal Time varying All of the above None of the above
Consider a system with input $x(t)$ and the output $y(t)$ is given by\[y(t)=x(t)-\sin (t) x(t-1)-0.5 x(t+2)+1 .\]The system isNon-linearNon-causalTime varyingAll of the a...
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2786
GATE ECE 1997 | Question 17
For a typical $n-p-n$ transistor, as shown in the figure we have the following data available $\mathrm{W}_{\mathrm{C}}=20 \mu \mathrm{m}$ and Collcetor doping $=5 \times 10^{18} / \mathrm{cc}$ $\mathrm{W}_{\mathrm{E}}=1 \mu \mathrm{m}$ ...
For a typical $n-p-n$ transistor, as shown in the figure we have the following data available$\mathrm{W}_{\mathrm{C}}=20 \mu \mathrm{m}$ and Collcetor doping $=5 \times 1...
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2787
GATE ECE 2000 | Question 2.16
A message $m(t)$ bandlimited to the frequency $f_{m}$ has a power of $P_{m}$. The power of the output signal in given figure is $\frac{\mathrm{P}_{m} \cos \theta}{2}$ $\frac{\mathrm{P}_{m}}{4}$ $\frac{P_{m} \sin ^{2} \theta}{4}$ $\frac{P_{m} \cos ^{2} \theta}{4}$
A message $m(t)$ bandlimited to the frequency $f_{m}$ has a power of $P_{m}$. The power of the output signal in given figure is$\frac{\mathrm{P}_{m} \cos \theta}{2}$$\fra...
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2790
GATE ECE 2002 | Question: 21
Consider a parallel plate waveguide with plate separation $d$ ... current densities $\vec{j}_{s}$ on the same plates. Prove that $p_s$ and $\vec{j}_s$ satisfy the current continuity condition.
Consider a parallel plate waveguide with plate separation $d$ as shown in the figure electric and magnetic fields for the TEM-mode are given by$\begin{array}{l}\mathrm{E}...
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2791
GATE ECE 1998 | Question 2.9
For the identity $\mathrm{AB}+\overline{\mathrm{A}} C+\mathrm{BC}=\mathrm{AB}+\overline{\mathrm{A}} \mathrm{C}$ ...
For the identity $\mathrm{AB}+\overline{\mathrm{A}} C+\mathrm{BC}=\mathrm{AB}+\overline{\mathrm{A}} \mathrm{C}$, the dual form is$(\mathrm{A}+\mathrm{B})(\overline{\mathr...
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2792
GATE ECE 1998 | Question 2.37
An antenna in free space receives $2 \; \mu \mathrm{W}$ of power when the incident electric field is $20 \mathrm{~m} \; \mathrm{V} / \mathrm{m} \; \mathrm{rms}$. The effective aperture of the antenna is $0.005 \mathrm{~m}^{2}$ $0.05 \mathrm{~m}^{2}$ $1.885 \mathrm{~m}^{2}$ $3.77 \mathrm{~m}^{2}$
An antenna in free space receives $2 \; \mu \mathrm{W}$ of power when the incident electric field is $20 \mathrm{~m} \; \mathrm{V} / \mathrm{m} \; \mathrm{rms}$. The effe...
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2793
GATE ECE 1998 | Question 2.38
The maximum usable frequency of an ionospheric layer at $60^{\circ}$ incidence and with $8 \; \mathrm{mHz}$ critical frequency is $16 \; \mathrm{MHz}$ $\frac{16}{\sqrt{3}} \; \mathrm{MHz}$ $8 \; \mathrm{MHz}$ about $6.93 \; \mathrm{MHz}$
The maximum usable frequency of an ionospheric layer at $60^{\circ}$ incidence and with $8 \; \mathrm{mHz}$ critical frequency is$16 \; \mathrm{MHz}$$\frac{16}{\sqrt{3}} ...
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2794
GATE ECE 1998 | Question 13
In the circuit of the figure is determine the resistance $R_{0}$ seen by the output terminals. Ignore the effects of $R_{1}$ and $R_{2}$.
In the circuit of the figure is determine the resistance $R_{0}$ seen by the output terminals. Ignore the effects of $R_{1}$ and $R_{2}$.
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2795
GATE ECE 2003 | Question: 48
The output voltage of the regulated power supply shown in the figure is $3 \mathrm{~V}$ $6 \mathrm{~V}$ $9 \mathrm{~V}$ $12 \mathrm{~V}$
The output voltage of the regulated power supply shown in the figure is$3 \mathrm{~V}$$6 \mathrm{~V}$$9 \mathrm{~V}$$12 \mathrm{~V}$
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2797
GATE ECE 2003 | Question: 69
The root locus of the system $\mathrm{G}(\mathrm{s}) \mathrm{H}(s)$ $=\frac{\mathrm{K}}{s(s+2)(s+3)}$ has the break-away point located at $(-0.5,0)$ $(-2.548,0)$ $(-4,0)$ $(-0.784,0)$
The root locus of the system $\mathrm{G}(\mathrm{s}) \mathrm{H}(s)$ $=\frac{\mathrm{K}}{s(s+2)(s+3)}$ has the break-away point located at$(-0.5,0)$$(-2.548,0)$$(-4,0)$$(-...
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2799
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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2800
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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