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2681
GATE ECE 2010 | Question: 32
In the circuit shown, the switch $S$ is open for a long time and is closed at $t=0$. The current $i(t)$ for $t \geq 0$ is $i(t)=0.5-0.125 e^{-1000t} \mathrm{~A}$ $i(t)=1.5-0.125 e^{-1000t} \mathrm{~A}$ $i(t)=0.5-0.5 e^{-1000t} \mathrm{~A}$ $i(t)=0.375 e^{- 1000t} \mathrm{~A}$
In the circuit shown, the switch $S$ is open for a long time and is closed at $t=0$. The current $i(t)$ for $t \geq 0$ is $i(t)=0.5-0.125 e^{-1000t} \mathrm{~A}$$i(t)=1.5...
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2682
GATE ECE 2010 | Question: 43
The Nyquist sampling rale for the signal $s(t)=\dfrac{\sin (500 \pi t)}{\pi t} \times \dfrac{\sin (700 \pi t)}{\pi t}$ is given by $400 \mathrm{~Hz}$ $600 \mathrm{~Hz}$ $1200 \mathrm{~Hz}$ $1400 \mathrm{~Hz}$
The Nyquist sampling rale for the signal $s(t)=\dfrac{\sin (500 \pi t)}{\pi t} \times \dfrac{\sin (700 \pi t)}{\pi t}$ is given by$400 \mathrm{~Hz}$$600 \mathrm{~Hz}$$120...
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2683
GATE ECE 2010 | Question: 50
The signal flow graph of a system is shown below. The state variable representation of the system can be ...
The signal flow graph of a system is shown below.The state variable representation of the system can be$\begin{aligned} \dot{x} &=\left[\begin{array}{ll} 1 & 1 \\ -1 & 0\...
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2684
GATE ECE 2011 | Question: 46
In the circuit shown below, the current $\text{I}$ is equal to $1.4 \angle 0^{\circ} \; \mathrm{A}$ $2.0 \angle 0^{\circ} \; \mathrm{A}$ $2.8 \angle 0^{\circ} \; \mathrm{A}$ $3.2 \angle 0^{\circ} \; \mathrm{A}$
In the circuit shown below, the current $\text{I}$ is equal to$1.4 \angle 0^{\circ} \; \mathrm{A}$$2.0 \angle 0^{\circ} \; \mathrm{A}$$2.8 \angle 0^{\circ} \; \mathrm{A}$...
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2685
TIFR ECE 2016 | Question: 15
What is \[ \max _{x, y}\left[\begin{array}{ll} x & y \end{array}\right]\left[\begin{array}{cc} 3 & \sqrt{2} \\ \sqrt{2} & 2 \end{array}\right]\left[\begin{array}{l} x \\ y \end{array}\right] \] subject to \[ x^{2}+y^{2}=1 ? \] $1$ $\sqrt{2}$ $2$ $3$ $4$
What is\[\max _{x, y}\left[\begin{array}{ll}x & y\end{array}\right]\left[\begin{array}{cc}3 & \sqrt{2} \\\sqrt{2} & 2\end{array}\right]\left[\begin{array}{l}x \\y\end{arr...
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2689
GATE ECE 2002 | Question: 2.23
Distilled water at $25^{\circ} \mathrm{C}$ is characterized by $\sigma=1.7 \times 10^{-1} \mathrm{mho} / \mathrm{m}$ and $\epsilon=78 \; \epsilon_{0}$ at a frequency of $3 \; \mathrm{GHz}.$ Its loss tangent $\tan\delta$ is $1.3 \times 10^{-5}$ ... $\left(\epsilon=10^{-9} /(36 \pi) \mathrm{F} / \mathrm{m}\right)$
Distilled water at $25^{\circ} \mathrm{C}$ is characterized by $\sigma=1.7 \times 10^{-1} \mathrm{mho} / \mathrm{m}$ and $\epsilon=78 \; \epsilon_{0}$ at a frequency of $...
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2693
GATE ECE 1998 | Question 2.10
An instruction used to set the carry Flag in a computer can be classified as data transfer arithmetic logical program control
An instruction used to set the carry Flag in a computer can be classified asdata transferarithmeticlogicalprogram control
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2694
GATE ECE 1998 | Question 2.15
The amplitude spectrum of a Gaussian pulse is uniform a sine function Gaussian an impulse function
The amplitude spectrum of a Gaussian pulse isuniforma sine functionGaussianan impulse function
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2695
GATE ECE 1998 | Question: 5
Draw the transfer characteristic of the circuit of the figure assuming both $D_{1}$ and $D_{2}$ to be ideal. How would the characteristic change if $D_{2}$ is ideal, but $D_{1}$ is non-ideal in that it has forward resistance of $10 \; \Omega$ a reverse resistance of infinity?
Draw the transfer characteristic of the circuit of the figure assuming both $D_{1}$ and $D_{2}$ to be ideal.How would the characteristic change if $D_{2}$ is ideal, but $...
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2696
GATE ECE 2003 | Question: 70
The approximate Bode magnitude plot of a minimum-phase system is shown in the figure. The transfer function of the system is $10^8 \frac{(s+0.1)^3}{(s+10)^2(s+100)}$ $10^{7} \frac{(s+0.1)^3}{(s+10)(s+100)}$ $10^8 \frac{(s+0.1)^2}{(s+10)^2(s+100)}$ $10^9 \frac{(s+0.1)^3}{(s+10)(s+100)^2}$
The approximate Bode magnitude plot of a minimum-phase system is shown in the figure. The transfer function of the system is$10^8 \frac{(s+0.1)^3}{(s+10)^2(s+100)}$$10^{7...
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2697
GATE ECE 2003 | Question: 72
The gain margin and the phase margin of a feedback system with $\mathrm{G}(\mathrm{s}) \mathrm{H}(\mathrm{s})=\frac{\mathrm{s}}{(\mathrm{s}+100)^{3}}$ are $0 \mathrm{~dB}, 0^{\circ}$ $\infty, \infty$ $\infty, 0^{\circ}$ $88.5 \mathrm{~dB}, \infty$
The gain margin and the phase margin of a feedback system with $\mathrm{G}(\mathrm{s}) \mathrm{H}(\mathrm{s})=\frac{\mathrm{s}}{(\mathrm{s}+100)^{3}}$ are$0 \mathrm{~dB},...
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2699
GATE ECE 2003 | Question: 86
A uniform plane wave travelling in air is incident on the plane boundary between air and another dielectric medium with $\varepsilon_{r}=4$. The reflection coefficient for the normal incidence, is zero $0.5 \angle 180^{\circ}$ $0.333 \angle 0^{\circ}$ $0.333 \angle 180^{\circ}$
A uniform plane wave travelling in air is incident on the plane boundary between air and another dielectric medium with $\varepsilon_{r}=4$. The reflection coefficient fo...
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2700
GATE ECE 2005 | Question: 62
For a signal $x(f)$ the fourier transform is $X(f)$. Then the inverse Fourier transform of $X(3 f+2)$ is given by $\frac{1}{2 x}\left(\frac{t}{2}\right) e^{j 3 \pi t}$ $\frac{1}{3 x}\left(\frac{t}{3}\right) e^{-14 \pi t / 3}$ $3 x(3 t) e^{-j 4 \pi t}$ $x(3 t+2)$
For a signal $x(f)$ the fourier transform is $X(f)$. Then the inverse Fourier transform of $X(3 f+2)$ is given by$\frac{1}{2 x}\left(\frac{t}{2}\right) e^{j 3 \pi t}$$\fr...
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2701
GATE ECE 2005 | Question: 71
A signal as shown in the figure is applied to a matched filter. Which of the following does represent the output of this matched filter?
A signal as shown in the figure is applied to a matched filter. Which of the following does represent the output of this matched filter?
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2702
GATE ECE 1995 | Question 2.3
The circuit shown the given figure, supplies power to an $8 \; \Omega$ speaker, $\text{LS}$. The values of $\mathrm{I}_{\mathrm{C}}$ and $\mathrm{V}_{\mathrm{CE}}$ for this circuit will be : $\mathrm{I}_{\mathrm{C}} = $ __________ and $\mathrm{V}_{\mathrm{CE}} = $ ____________
The circuit shown the given figure, supplies power to an $8 \; \Omega$ speaker, $\text{LS}$. The values of $\mathrm{I}_{\mathrm{C}}$ and $\mathrm{V}_{\mathrm{CE}}$ for th...
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2707
GATE ECE 1993 | Question 6.19
Which of the following demodulator(s) can be used for demodulating the signal $x(t)=5(1+2 \cos 2000 \pi t) \cos 2000 \pi t .$ Envelope demodulator Square-law demodulator Synchronous demodulator None of these
Which of the following demodulator(s) can be used for demodulating the signal $x(t)=5(1+2 \cos 2000 \pi t) \cos 2000 \pi t .$Envelope demodulatorSquare-law demodulatorSyn...
1 votes
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2711
GATE ECE 2010 | Question: 18
A system with the transfer function $\frac{Y(s)}{X(s)}=\frac{s}{s+p}$ has an output $y(t)=\cos \left(2 t-\frac{\pi}{3}\right)$ for the input signal $x(t)=p \cos \left(2 t-\frac{\pi}{2}\right)$. Then, the system parameter $’p’$ is $\sqrt{3}$ $\frac{2}{\sqrt{3}}$ $1$ $\frac{\sqrt{3}}{2}$
A system with the transfer function $\frac{Y(s)}{X(s)}=\frac{s}{s+p}$ has an output $y(t)=\cos \left(2 t-\frac{\pi}{3}\right)$ for the input signal $x(t)=p \cos \left(2 t...
1 votes
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2713
GATE ECE 2010 | Question: 44
A unity negative feedback closed loop system has a plant with the transfer function $\text{G}(s)=\frac{1}{s^{2}+2 s+2}$ and a controller $\text{G}_{c}(s)$ ... $\text{G}_{c}(s)=1+\frac{2}{s}+3 s$
A unity negative feedback closed loop system has a plant with the transfer function $\text{G}(s)=\frac{1}{s^{2}+2 s+2}$ and a controller $\text{G}_{c}(s)$ in the feedforw...
0 votes
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2715
GATE ECE 1997 | Question 5.5
While moving data between registers of the $8085$ and the stack (1) a $\text{PUSH}$ instruction Pre increments the stack pointer (2) a $\text{POP}$ instruction Post increments the stack pointer Pre decrements the stack pointer Post decrements the stack pointer
While moving data between registers of the $8085$ and the stack(1) a $\text{PUSH}$ instructionPre increments the stack pointer(2) a $\text{POP}$ instructionPost increment...
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2718
GATE ECE 1999 | Question 4
For the network shown in the given figure is evaluate the current $I$ flowing through the $2 \; \Omega$ resistor using superposition theorem.
For the network shown in the given figure is evaluate the current $I$ flowing through the $2 \; \Omega$ resistor using superposition theorem.
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2719
GATE ECE 2002 | Question: 2.13
Consider the following assembly language program. ... $00 \; \mathrm{H}$ and $87 \; \mathrm{H}$.
Consider the following assembly language program.$\begin{array}{rll} \text { MVI } & \text { B,87H } \\ \text { MOV } & \text { A, B } \\ \text { START : JMP } & \text { ...
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