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364
GATE ECE 2007 | Question: 67
A load of $50\; \Omega$ is connected in shunt in a $2$-wire transmission line of $Z_{0}=50 \;\Omega$ as shown in the figure. The $2$-port scattering parameter matrix $\text{(S-matrix)}$ ...
A load of $50\; \Omega$ is connected in shunt in a $2$-wire transmission line of $Z_{0}=50 \;\Omega$ as shown in the figure. The $2$-port scattering parameter matrix $\te...
1 votes
0 answers
366
GATE ECE 2007 | Question: 69
A $\dfrac{\lambda}{2}$ dipole is kept horizontally at a height of $\dfrac{\lambda_{0}}{2}$ above a perfectly conducting infinite ground plane. The radiation pattern in the plane of the dipole ( $\vec{E}$ plane) looks approximately as
A $\dfrac{\lambda}{2}$ dipole is kept horizontally at a height of $\dfrac{\lambda_{0}}{2}$ above a perfectly conducting infinite ground plane. The radiation pattern in th...
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367
GATE ECE 2007 | Question: 70
A right circularly polarized (RCP) plane wave is incident at an angle of $60^{\circ}$ to the normal, on an air-dielectric interface. If the reflected wave is linearly polarized, the relative dielectric constant $\varepsilon_{r 2}$ is $\sqrt{2}$ $\sqrt{3}$ $2$ $3$
A right circularly polarized (RCP) plane wave is incident at an angle of $60^{\circ}$ to the normal, on an air-dielectric interface. If the reflected wave is linearly pol...
1 votes
0 answers
368
GATE ECE 2007 | Question: 71
The figure shows the high-frequency capacitance-voltage (C-V) characteristics of a $\mathrm{Metal} / \mathrm{SiO}_{2} / \text{silicon (MOS)}$ capacitor having an area of $1 \times 10^{-4} \mathrm{~cm}^{2}$ ... is $50 \; \mathrm{~nm}$ $143 \; \mathrm{~nm}$ $350 \; \mathrm{~nm}$ $1 \; \mu \mathrm{m}$
The figure shows the high-frequency capacitance-voltage (C-V) characteristics of a $\mathrm{Metal} / \mathrm{SiO}_{2} / \text{silicon (MOS)}$ capacitor having an area of ...
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369
GATE ECE 2007 | Question: 72
The figure shows the high-frequency capacitance-voltage (C-V) characteristics of a $\mathrm{Metal} / \mathrm{SiO}_{2} / \text{silicon (MOS)}$ capacitor having an area of $1 \times 10^{-4} \mathrm{~cm}^{2}$ ... $0.857 \; \mu \mathrm{m}$ $1 \; \mu \mathrm{m}$ $1.143 \; \mu \mathrm{m}$
The figure shows the high-frequency capacitance-voltage (C-V) characteristics of a $\mathrm{Metal} / \mathrm{SiO}_{2} / \text{silicon (MOS)}$ capacitor having an area of ...
1 votes
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370
GATE ECE 2007 | Question: 73
The figure shows the high-frequency capacitance-voltage (C-V) characteristics of a $\mathrm{Metal} / \mathrm{SiO}_{2} / \text{silicon (MOS)}$ capacitor having an area of $1 \times 10^{-4} \mathrm{~cm}^{2}$ ... is false $\mathrm{S} 1$ is false and $\mathrm{S} 2$ is true Both $\text{S1}$ and $\text{S2}$ are false
The figure shows the high-frequency capacitance-voltage (C-V) characteristics of a $\mathrm{Metal} / \mathrm{SiO}_{2} / \text{silicon (MOS)}$ capacitor having an area of ...
1 votes
0 answers
372
GATE ECE 2007 | Question: 75
Two $4$-ary signal constellations are shown. It is given that $\phi_{1}$ and $\phi_{2}$ ... both the constellations The value of $N_{0}$ will determine which of the two constellations has a lower probability of symbol error
Two $4$-ary signal constellations are shown. It is given that $\phi_{1}$ and $\phi_{2}$ constitute an orthonormal basis for the two constellations. Assume that the four s...
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373
GATE ECE 2007 | Question: 76
Consider the Op-Amp circuit shown in the figure. The transfer function $V_{o}(s) / V_{i}(s)$ is $\frac{1-s R C}{1+s R C}$ $\frac{1+s R C}{1-s R C}$ $\frac{1}{1-s R C}$ $\frac{1}{1+s R C}$
Consider the Op-Amp circuit shown in the figure.The transfer function $V_{o}(s) / V_{i}(s)$ is$\frac{1-s R C}{1+s R C}$$\frac{1+s R C}{1-s R C}$$\frac{1}{1-s R C}$$\frac{...
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374
GATE ECE 2007 | Question: 77
Consider the Op-Amp circuit shown in the figure. If $V_{i}=V_{1} \sin (\omega t)$ and $V_{o}=V_{2} \sin (\omega t+\phi)$, then the minimum and maximum values of $\phi$ (in radians) are respectively $-\pi / 2$ and $\pi / 2$ $0$ and $\pi / 2$ $-\pi$ and $0$ $-\pi / 2$ and $0$
Consider the Op-Amp circuit shown in the figure.If $V_{i}=V_{1} \sin (\omega t)$ and $V_{o}=V_{2} \sin (\omega t+\phi)$, then the minimum and maximum values of $\phi$ (in...
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375
GATE ECE 2007 | Question: 78
An $8085$ assembly language program is given below. Line 1: MVI A,B5H 2: MVI B0EH 3: XRI 69H 4: ADD B 5: ANI 9BH 6: CPI 9FH 7: STA 3010H 8: HLT The contents of the accumulator just after execution of the $\textsf{ADD}$ instruction in line $4$ will be $\text{C3H}$ $\text{EAH}$ $\mathrm{DCH}$ $69 \mathrm{H}$
An $8085$ assembly language program is given below.Line 1: MVI A,B5H 2: MVI B0EH 3: XRI 69H 4: ADD B 5: ANI 9BH 6: CPI 9FH 7: STA 3010H 8: HLTThe contents of the accumula...
1 votes
0 answers
377
GATE ECE 2007 | Question: 80
Consider a linear system whose state space representation is $\dot{\mathbf{x}}(t)=\mathbf{A} \mathbf{x}(t)$. If the initial state vector of the system is $\mathbf{x}(0)=\left[\begin{array}{r}1 \\ -2\end{array}\right]$ ... $\left(1,\left[\begin{array}{r}1 \\ -2\end{array}\right]\right)$
Consider a linear system whose state space representation is $\dot{\mathbf{x}}(t)=\mathbf{A} \mathbf{x}(t)$. If the initial state vector of the system is $\mathbf{x}(0)=\...
1 votes
0 answers
378
GATE ECE 2007 | Question: 81
Consider a linear system whose state space representation is $\dot{\mathbf{x}}(t)=\mathbf{A} \mathbf{x}(t)$. If the initial state vector of the system is $\mathbf{x}(0)=\left[\begin{array}{r}1 \\ -2\end{array}\right]$ ... $\left[\begin{array}{rr}0 & 1 \\ -2 & -3\end{array}\right]$
Consider a linear system whose state space representation is $\dot{\mathbf{x}}(t)=\mathbf{A} \mathbf{x}(t)$. If the initial state vector of the system is $\mathbf{x}(0)=\...
1 votes
0 answers
381
GATE ECE 2007 | Question: 84
In the Digital-to-Analog converter circuit shown in the figure below, $V_{R}=10 \mathrm{~V}$ and $\mathrm{R}=10 \; \mathrm{k} \Omega$. The current $i$ is $31.25 \; \mu \mathrm{A}$ $62.5 \; \mu \mathrm{A}$ $125 \; \mu \mathrm{A}$ $250 \; \mu \mathrm{A}$
In the Digital-to-Analog converter circuit shown in the figure below, $V_{R}=10 \mathrm{~V}$ and $\mathrm{R}=10 \; \mathrm{k} \Omega$.The current $i$ is$31.25 \; \mu \mat...
1 votes
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382
GATE ECE 2007 | Question: 85
In the Digital-to-Analog converter circuit shown in the figure below, $V_{R}=10 \mathrm{~V}$ and $\mathrm{R}=10 \; \mathrm{k} \Omega$. The voltage $V_{o}$ is $-0.781 \mathrm{~V}$ $-1.562 \mathrm{~V}$ $-3.125 \mathrm{~V}$ $-6.250 \mathrm{~V}$
In the Digital-to-Analog converter circuit shown in the figure below, $V_{R}=10 \mathrm{~V}$ and $\mathrm{R}=10 \; \mathrm{k} \Omega$.The voltage $V_{o}$ is$-0.781 \mathr...
1 votes
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384
GATE ECE 2008 | Question: 2
The system of linear equations \[ \begin{array}{l} 4 x+2 y=7 \\ 2 x+y=6 \end{array} \] has a unique solution no solution an infinite number of solutions exactly two distinct solutions
The system of linear equations\[ \begin{array}{l}4 x+2 y=7 \\2 x+y=6\end{array} \]hasa unique solutionno solutionan infinite number of solutionsexactly two distinct solut...
1 votes
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385
GATE ECE 2008 | Question: 3
The equation $\sin (z)=10$ has no real or complex solution exactly two distinct complex solutions a unique solution an infinite number of complex solutions
The equation $\sin (z)=10$ hasno real or complex solutionexactly two distinct complex solutionsa unique solutionan infinite number of complex solutions
1 votes
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386
GATE ECE 2008 | Question: 4
For real values of $x$, the minimum value of the function $f(x)=\exp (x)+\exp (-x)$ is $2$ $1$ $0.5$ $0$
For real values of $x$, the minimum value of the function $f(x)=\exp (x)+\exp (-x)$ is$2$$1$$0.5$$0$
1 votes
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387
GATE ECE 2008 | Question: 5
Which of the following functions would have only odd powers of $x$ in its Taylor series expansion about the point $x=0?$ $\sin \left(x^{3}\right)$ $\sin \left(x^{2}\right)$ $\cos \left(x^{3}\right)$ $\cos \left(x^{2}\right)$
Which of the following functions would have only odd powers of $x$ in its Taylor series expansion about the point $x=0?$ $\sin \left(x^{3}\right)$$\sin \left(x^{2}\right)...
1 votes
0 answers
388
GATE ECE 2008 | Question: 6
Which of the following is a solution to the differential equation $\dfrac{d x(t)}{d t}+3 x(t)=0?$ $x(t)=3 e^{-t}$ $x(t)=2 e^{-3 t}$ $x(t)=-\frac{3}{2} t^{2}$ $x(t)=3 t^{2}$
Which of the following is a solution to the differential equation $\dfrac{d x(t)}{d t}+3 x(t)=0?$ $x(t)=3 e^{-t}$$x(t)=2 e^{-3 t}$$x(t)=-\frac{3}{2} t^{2}$$x(t)=3 t^{2}$
1 votes
0 answers
389
GATE ECE 2008 | Question: 7
In the following graph, the number of trees $\text{(P)}$ and the number of cut-sets $\text{(Q)}$ are $\mathrm{P}=2, \mathrm{Q}=2$ $\mathrm{P}=2, \mathrm{Q}=6$ $\mathrm{P}=4, \mathrm{Q}=6$ $\mathrm{P}=4, \mathrm{Q}=10$
In the following graph, the number of trees $\text{(P)}$ and the number of cut-sets $\text{(Q)}$ are$\mathrm{P}=2, \mathrm{Q}=2$$\mathrm{P}=2, \mathrm{Q}=6$$\mathrm{P}=4,...
1 votes
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390
GATE ECE 2008 | Question: 8
In the following circuit, the switch $\mathrm{S}$ is closed at $t=0$. The rate of change of current $\dfrac{d i}{d t}(0+)$ is given by $0$ $\frac{R_{S} I_{S}}{L}$ $\frac{\left(R+R_{s}\right) I_{s}}{L}$ $\infty$
In the following circuit, the switch $\mathrm{S}$ is closed at $t=0$. The rate of change of current $\dfrac{d i}{d t}(0+)$ is given by$0$$\frac{R_{S} I_{S}}{L}$$\frac{\le...
1 votes
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391
GATE ECE 2008 | Question: 9
The input and output of a continuous time system are respectively denoted by $x(t)$ and $y(t)$. Which of the following descriptions corresponds to a causal system? $y(t)=x(t-2)+x(t+4)$ $y(t)=(t-4) x(t+1)$ $y(t)=(t+4) x(t-1)$ $y(t)=(t+5) x(t+5)$
The input and output of a continuous time system are respectively denoted by $x(t)$ and $y(t)$. Which of the following descriptions corresponds to a causal system?$y(t)=x...
1 votes
0 answers
393
GATE ECE 2008 | Question: 11
The pole-zero plot given below corresponds to a Low pass filter High pass filter Band pass filter Notch filter
The pole-zero plot given below corresponds to aLow pass filterHigh pass filterBand pass filterNotch filter
1 votes
0 answers
394
GATE ECE 2008 | Question: 12
Step responses of a set of three second-order underdamped systems all have the same percentage overshoot. Which of the following diagrams represents the poles of the three systems?
Step responses of a set of three second-order underdamped systems all have the same percentage overshoot. Which of the following diagrams represents the poles of the thre...
1 votes
0 answers
395
GATE ECE 2008 | Question: 13
Which of the following is NOT associated with a $\text{p-n}$ junction? Junction Capacitance Charge Storage Capacitance Depletion Capacitance Channel Length Modulation
Which of the following is NOT associated with a $\text{p-n}$ junction?Junction CapacitanceCharge Storage CapacitanceDepletion CapacitanceChannel Length Modulation
1 votes
0 answers
396
GATE ECE 2008 | Question: 14
Which of the following is true? A silicon wafer heavily doped with boron is a $p^{+}$substrate A silicon wafer lightly doped with boron is a $p^{+}$ substrate A silicon wafer heavily doped with arsenic is a $\mathrm{p}^{+}$substrate A silicon wafer lightly doped with arsenic is a $p^{+}$ substrate
Which of the following is true?A silicon wafer heavily doped with boron is a $p^{+}$substrateA silicon wafer lightly doped with boron is a $p^{+}$ substrateA silicon wafe...
1 votes
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397
GATE ECE 2008 | Question: 15
For a Hertz dipole antenna, the half power beam width $\text{(HPBW)}$ in the $\text{E}$-plane is $360^{\circ}$ $180^{\circ}$ $90^{\circ}$ $45^{\circ}$
For a Hertz dipole antenna, the half power beam width $\text{(HPBW)}$ in the $\text{E}$-plane is$360^{\circ}$$180^{\circ}$$90^{\circ}$$45^{\circ}$
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