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Recent questions tagged gate2002-ec

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GATE ECE 2002 | Question: 1.1
The dependent current source shown in given figure. delivers $80 \mathrm{~W}$ absorbs $80 \mathrm{~W}$ delivers $40 \mathrm{~W}$ absorbs $40 \mathrm{~W}$
The dependent current source shown in given figure.delivers $80 \mathrm{~W}$absorbs $80 \mathrm{~W}$delivers $40 \mathrm{~W}$absorbs $40 \mathrm{~W}$
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GATE ECE 2002 | Question: 1.2
In given figure $1.2,$ the switch was closed for a long time before opening at $t=0$. The voltage $V x$ at $t=0^{+}$ is $25 \mathrm{~V}$ $50 \mathrm{~V}$ $-50 \mathrm{~V}$ $0 \mathrm{~V}$
In given figure $1.2,$ the switch was closed for a long time before opening at $t=0$. The voltage $V x$ at $t=0^{+}$ is$25 \mathrm{~V}$$50 \mathrm{~V}$$-50 \mathrm{~V}$$0...
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GATE ECE 2002 | Question: 1.3
Convolution of $x(t+5)$ with impulse function $\delta(t-7)$ is equal to $x(t-12)$ $x(t+12)$ $x(t-2)$ $x(t+2)$
Convolution of $x(t+5)$ with impulse function $\delta(t-7)$ is equal to$x(t-12)$$x(t+12)$$x(t-2)$$x(t+2)$
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GATE ECE 2002 | Question: 1.4
Which of the following cannot be the Fourier series expansion of a periodic signal ? $x(t)=2 \cos t+3 \cos 3 t$ $x(t)=2 \cos \pi t+7 \cos t$ $x(t)=\cos t+0.5$ $x(t)=2 \cos 1.5 \pi t+\sin 3.5 \pi t$
Which of the following cannot be the Fourier series expansion of a periodic signal ?$x(t)=2 \cos t+3 \cos 3 t$$x(t)=2 \cos \pi t+7 \cos t$$x(t)=\cos t+0.5$$x(t)=2 \cos 1....
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GATE ECE 2002 | Question: 1.5
In given figure a silicon diode is carrying a constant current of $1 \mathrm{~mA}$. When the temperature of the diode is $20^{\circ} \mathrm{C}, \mathrm{V}_{\mathrm{D}}$ is found to be $700 \; \mathrm{mV}$ ... $740 \; \mathrm{mV}$ $660 \; \mathrm{mV}$ $680 \; \mathrm{mV}$ $700 \; \mathrm{mV}$
In given figure a silicon diode is carrying a constant current of $1 \mathrm{~mA}$. When the temperature of the diode is $20^{\circ} \mathrm{C}, \mathrm{V}_{\mathrm{D}}$ ...
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GATE ECE 2002 | Question: 1.8
Three identical $\text{RC}$-coupled transistor amplifiers are cascaded. If each of the amplifiers has a frequency response as shown in the figure is the overall frequency response is as given in
Three identical $\text{RC}$-coupled transistor amplifiers are cascaded. If each of the amplifiers has a frequency response as shown in the figure is the overall frequency...
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GATE ECE 2002 | Question: 1.9
$4$-bit $2$'s complement representation of a decimal number is $1000.$ The number is $+8$ $0$ $-7$ $-8$
$4$-bit $2$'s complement representation of a decimal number is $1000.$ The number is$+8$$0$$-7$$-8$
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GATE ECE 2002 | Question: 1.10
If the input to the digital circuit the figure, consisting of a cascade of $20 \; \mathrm{XOR}$-gates is $\mathrm{X}$, then the output $Y$ is equal to $0$ $1$ $\overline{X}$ $X$
If the input to the digital circuit the figure, consisting of a cascade of $20 \; \mathrm{XOR}$-gates is $\mathrm{X}$, then the output $Y$ is equal to$0$$1$$\overline{X}$...
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GATE ECE 2002 | Question: 1.11
The number of comparators required in a $3$-bit comparator type ADC is $2$ $3$ $7$ $8$
The number of comparators required in a $3$-bit comparator type ADC is$2$$3$$7$$8$
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GATE ECE 2002 | Question: 1.13
Consider a system with the transfer function $G(s)=\frac{s+6}{k s^2+s+6}$. Its damping ratio will be $0.5$ when the value of $k$ is $2 / 6$ $3$ $1 / 6$ $6$
Consider a system with the transfer function $G(s)=\frac{s+6}{k s^2+s+6}$. Its damping ratio will be $0.5$ when the value of $k$ is$2 / 6$$3$$1 / 6$$6$
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GATE ECE 2002 | Question: 1.14
Which of the following points is NOT on the root locus of a system with the open-loop transfer function $\mathrm{G}(s) \mathrm{H}(s)=\frac{k}{s(s+1)(s+3)}$ $s=-\mathrm{j} \sqrt{3}$ $s=-1.5$ $s=-3$ $s=-\infty$
Which of the following points is NOT on the root locus of a system with the open-loop transfer function $\mathrm{G}(s) \mathrm{H}(s)=\frac{k}{s(s+1)(s+3)}$$s=-\mathrm{j} ...
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GATE ECE 2002 | Question: 1.15
The phase margin of a system with the open-loop transfer function $\mathrm{G}(s) \mathrm{H}(s)=\frac{(1-s)}{(1+s)(2+s)}$ is $0^{\circ}$ $63.4^{\circ}$ $90^{\circ}$ $\infty$
The phase margin of a system with the open-loop transfer function $\mathrm{G}(s) \mathrm{H}(s)=\frac{(1-s)}{(1+s)(2+s)}$ is$0^{\circ}$$63.4^{\circ}$$90^{\circ}$$\infty$
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GATE ECE 2002 | Question: 1.16
The transfer function $\mathrm{Y}(s) / \mathrm{U}(\mathrm{s})$ of a system described by the state equations $x(t)=-2 x(t)+2 u(t)$ and $y(t)=0.5 x(t)$ is $0.5 /(s-2)$ $1 /(s-2)$ $0.5 /(s+2)$ $1 /(s+2)$
The transfer function $\mathrm{Y}(s) / \mathrm{U}(\mathrm{s})$ of a system described by the state equations $x(t)=-2 x(t)+2 u(t)$ and $y(t)=0.5 x(t)$ is$0.5 /(s-2)$$1 /(s...
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GATE ECE 2002 | Question: 1.17
The Fourier transform $\mathrm{F}\left\{e^{-t} u(t)\right\}$ is equal to $\frac{1}{1+j 2 \pi f}$. Therefore, $\mathrm{F}\left\{\frac{1}{1+j 2 \pi t}\right\}$ is $e^f u(f)$ $e^{-f} u(f)$ $e^{f} u(-f)$ $e^{-f} u(-f)$
The Fourier transform $\mathrm{F}\left\{e^{-t} u(t)\right\}$ is equal to $\frac{1}{1+j 2 \pi f}$. Therefore, $\mathrm{F}\left\{\frac{1}{1+j 2 \pi t}\right\}$ is$e^f u(f)$...
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GATE ECE 2002 | Question: 1.18
A linear phase channel with phase delay $T_p$ and group delay $T_g$ must have $T_p=T_g=$ constant $T_p \propto f$ and $T_g \propto f$ $T_p=$ constant and $T_g \propto f$ $T_p \propto f$ and $T_g = $ constant ($f$ denotes frequency)
A linear phase channel with phase delay $T_p$ and group delay $T_g$ must have$T_p=T_g=$ constant$T_p \propto f$ and $T_g \propto f$$T_p=$ constant and $T_g \propto f$$T_p...
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GATE ECE 2002 | Question: 1.19
A $1 \; \mathrm{MHz}$ sinusoidal carrier is amplitude modulated by a symmetrical square wave of period $100 \; \mu \mathrm{sec}$. Which of the following frequencies will NOT be present in the modulated signal? $990 \; \mathrm{kHz}$ $1010 \; \mathrm{kHz}$ $1020 \; \mathrm{kHz}$ $1030 \; \mathrm{kHz}$
A $1 \; \mathrm{MHz}$ sinusoidal carrier is amplitude modulated by a symmetrical square wave of period $100 \; \mu \mathrm{sec}$. Which of the following frequencies will ...
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GATE ECE 2002 | Question: 1.21
For a bit-rate of $8 \; \mathrm{kbps}$, the best possible values of the transmitted frequencies in a coherent binary FSK system are $16 \; \mathrm{kHz}$ and $20 \; \mathrm{kHz}$ $20 \; \mathrm{kHz}$ and $32 \; \mathrm{kHz}$ $20 \; \mathrm{kHz}$ and $40 \; \mathrm{kHz}$ $32 \; \mathrm{kHz}$ and $40 \; \mathrm{kHz}$
For a bit-rate of $8 \; \mathrm{kbps}$, the best possible values of the transmitted frequencies in a coherent binary FSK system are$16 \; \mathrm{kHz}$ and $20 \; \mathrm...
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GATE ECE 2002 | Question: 1.23
The $\text{VSWR}$ can have any value between $0$ and $1$ $-1$ and $+1$ $0$ and $\infty$ $1$ and $\infty$
The $\text{VSWR}$ can have any value between$0$ and $1$$-1$ and $+1$$0$ and $\infty$$1$ and $\infty$
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GATE ECE 2002 | Question: 1.24
In an impedance Smith chart, a clockwise movement along a constant resistance circle gives rise to a decrease in the value of reactance an increase in the value of reactance no change in the reactance value no change in the impedance value
In an impedance Smith chart, a clockwise movement along a constant resistance circle gives rise toa decrease in the value of reactancean increase in the value of reactanc...
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GATE ECE 2002 | Question: 1.25
The phase velocity for the $\mathrm{TE}_{10}$ – mode in an air-filled rectangular waveguide is less than $c$ equal to $c$ greater than $c$ none of the above ( $c$ is the velocity of plane waves in free space)
The phase velocity for the $\mathrm{TE}_{10}$ – mode in an air-filled rectangular waveguide isless than $c$equal to $c$greater than $c$none of the above( $c$ is the vel...
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GATE ECE 2002 | Question: 2.1
In the network of the figure is the maximum power is delivered to $R_{\mathrm{L}}$ if its value is $16 \; \Omega$ $\frac{40}{3} \; \Omega$ $60 \; \Omega$ $20 \; \Omega$
In the network of the figure is the maximum power is delivered to $R_{\mathrm{L}}$ if its value is$16 \; \Omega$$\frac{40}{3} \; \Omega$$60 \; \Omega$$20 \; \Omega$
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GATE ECE 2002 | Question: 2.2
If the $3$-phase balanced source in the figure is delivers $1500 \mathrm{~W}$ at a leading power factor of $0.844$, then the value of $Z_{L}$ (in ohm) is approximately $90 \angle 32.44^{\circ}$ $80 \angle 32.44^{\circ}$ $80 \angle – 32.44^{\circ}$ $90 \angle – 32.44^{\circ}$
If the $3$-phase balanced source in the figure is delivers $1500 \mathrm{~W}$ at a leading power factor of $0.844$, then the value of $Z_{L}$ (in ohm) is approximately$90...
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GATE ECE 2002 | Question: 2.3
The Laplace transform of a continuous-time signal $x(t)$ is $X(s)=\frac{5-s}{s^{2}-s-2}$. If the Fourier transform of this signal exists, then $x(t)$ is $e^{2 t} u(t)-2 e^{-t} u(t)$ $-e^{2t} u(-t)+2 e^{-t} u(t)$ $-e^{2 t} u(-t)-2 e^{-t} u(t)$ $e^{2 t} u(-t)-2 e^{-t} u(t)$
The Laplace transform of a continuous-time signal $x(t)$ is $X(s)=\frac{5-s}{s^{2}-s-2}$. If the Fourier transform of this signal exists, then $x(t)$ is$e^{2 t} u(t)-2 e^...
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GATE ECE 2002 | Question: 2.4
If the impulse response of a discrete-time system is $h[n]=-5^{n} u[-n-1]$, then the system function $\mathrm{H}(z)$ is equal to $\frac{-z}{z-5}$ and the system is stable $\frac{z}{z-5}$ and the system is stable $\frac{-z}{z-5}$ and the system is unstable $\frac{z}{z-5}$ and the system is unstable
If the impulse response of a discrete-time system is $h[n]=-5^{n} u[-n-1]$, then the system function $\mathrm{H}(z)$ is equal to$\frac{-z}{z-5}$ and the system is stable$...
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GATE ECE 2002 | Question: 2.6
The circuit in figure employs positive feedback and is intended to generate sinusoidal oscillation. If at a frequency $f_{0}, \mathrm{~B}(f)=\Delta \frac{V_{f}(f)}{V_{0}(f)}=\frac{1}{6} \angle 0^{\circ}$ ... $\text{R}_{2}=\frac{\text{R}_{1}}{6}$ $\mathrm{R}_{2}=\frac{\mathrm{R}_{1}}{5}$
The circuit in figure employs positive feedback and is intended to generate sinusoidal oscillation. If at a frequency $f_{0}, \mathrm{~B}(f)=\Delta \frac{V_{f}(f)}{V_{0}(...
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GATE ECE 2002 | Question: 2.7
A zener diode regulator in the figure is to be designed to meet the specifications: $I_{L}=10 \mathrm{~mA}$, $\mathrm{V}_{0}=10 \mathrm{~V}$ and $\mathrm{V}_{m}$ varies from $30 \mathrm{~V}$ to $50 \mathrm{~V}$ ... $3700 \; \Omega \leq R \leq 4000 \; \Omega$ $\mathrm{R}>4000 \; \Omega$
A zener diode regulator in the figure is to be designed to meet the specifications: $I_{L}=10 \mathrm{~mA}$, $\mathrm{V}_{0}=10 \mathrm{~V}$ and $\mathrm{V}_{m}$ varies f...
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GATE ECE 2002 | Question: 2.8
The voltage gain $\mathrm{A}_{u}=\frac{\mathrm{V}_{0}}{\mathrm{~V}_{i}}$ of the JFET amplifier shown in the figure is $+18$ $-18$ $+6$ $-6$
The voltage gain $\mathrm{A}_{u}=\frac{\mathrm{V}_{0}}{\mathrm{~V}_{i}}$ of the JFET amplifier shown in the figure is$+18$$-18$$+6$$-6$
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GATE ECE 2002 | Question: 2.9
The gates $G_{1}$ and $G_{2}$ in the figure is have propagation delays of $10 \; \mathrm{nsec}$ and $20 \; \mathrm{nsec}$ respectively. If the input $\mathrm{V}_{\mathrm{i}}$ makes an abrupt change from logic $0$ to $1$ at time $t=t_{0}$, then the output wave form $V_{0}$ is.
The gates $G_{1}$ and $G_{2}$ in the figure is have propagation delays of $10 \; \mathrm{nsec}$ and $20 \; \mathrm{nsec}$ respectively. If the input $\mathrm{V}_{\mathrm{...
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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 2002 | Question: 2.12
If the input $X_{3}, X_{2}, X_{1}, X_{0}$ to the ROM in the figure are $8-4-2-1$ BCD numbers, then the outputs $Y_{3} Y_{2} Y_{1} Y_{0}$ are gray code numbers $2-4-2-1$ BCD numbers excess-$3$ code numbers none of the above
If the input $X_{3}, X_{2}, X_{1}, X_{0}$ to the ROM in the figure are $8-4-2-1$ BCD numbers, then the outputs $Y_{3} Y_{2} Y_{1} Y_{0}$ are gray code numbers$2-4-2-1$ BC...
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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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GATE ECE 2002 | Question: 2.14
The system shown in the figure is remains stable when $k<-1$ $-1 < k < 1$ $1 < k < 3$ $k>3$
The system shown in the figure is remains stable when$k<-1$$-1 < k < 1$$1 < k < 3$$k>3$
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GATE ECE 2002 | Question: 2.15
The transfer function of a system is $\mathrm{G}(s)=\frac{100}{(s+1)(s+100)}$. For a unit-step input to the system the approximate settling time for $2 \%$ criterion is $100 \; \mathrm{sec}$ $4 \; \mathrm{sec}$ $1 \; \mathrm{sec}$ $0.01 \; \mathrm{sec}$
The transfer function of a system is $\mathrm{G}(s)=\frac{100}{(s+1)(s+100)}$. For a unit-step input to the system the approximate settling time for $2 \%$ criterion is$1...
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