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Recent questions tagged gate2008-ec

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41
GATE ECE 2008 | Question: 41
The number of open right half plane poles of $G(s)=\dfrac{10}{s^{5}+2 s^{4}+3 s^{3}+6 s^{2}+5 s+3}$ is $0$ $1$ $2$ $3$
The number of open right half plane poles of $G(s)=\dfrac{10}{s^{5}+2 s^{4}+3 s^{3}+6 s^{2}+5 s+3}$ is$0$$1$$2$$3$
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43
GATE ECE 2008 | Question: 43
$\text{Group I}$ gives two possible choices for the impedance $\mathrm{Z}$ in the diagram. The circuit elements in $\mathrm{Z}$ satisfy the condition $R_{2} C_{2}>R_{1} C_{1}$. The transfer function $\dfrac{V_{o}}{V_{i}}$ ... $\text{Q-1, R-2}$ $\text{Q-1, R-3}$ $\text{Q-2, R-3}$ $\text{Q-3, R-2}$
$\text{Group I}$ gives two possible choices for the impedance $\mathrm{Z}$ in the diagram. The circuit elements in $\mathrm{Z}$ satisfy the condition $R_{2} C_{2}>R_{1} C...
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45
GATE ECE 2008 | Question: 45
The measured transconductance $g_{m}$ of an $\text{NMOS}$ transistor operating in the linear region is plotted against the gate voltage $V_{G}$ at a constant drain voltage $V_{D}$. Which of the following figures represents the expected dependence of $g_{m}$ on $V_{G}?$
The measured transconductance $g_{m}$ of an $\text{NMOS}$ transistor operating in the linear region is plotted against the gate voltage $V_{G}$ at a constant drain voltag...
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47
GATE ECE 2008 | Question: 47
The OPAMP circuit shown above represents a high pass filter low pass filter band pass filter band reject filter
The OPAMP circuit shown above represents ahigh pass filterlow pass filterband pass filterband reject filter
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48
GATE ECE 2008 | Question: 48
Two identical $\text{NMOS}$ transistors $\text{M1}$ and $\text{M2}$ are connected as shown below. $\mathrm{V}_{\text {bias }}$ is chosen so that both transistors are in saturation. The equivalent $g_{m}$ ... transistors nearly equal to the $g_{m}$ of $\mathrm{Ml}$ nearly equal to $g_{m} / g_{o}$ of $\mathrm{M} 2$
Two identical $\text{NMOS}$ transistors $\text{M1}$ and $\text{M2}$ are connected as shown below. $\mathrm{V}_{\text {bias }}$ is chosen so that both transistors are in s...
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50
GATE ECE 2008 | Question: 50
An astable multivibrator circuit using $\text{IC 555}$ timer is shown below. Assume that the circuit is oscillating steadily. The voltage $V_{C}$ across the capacitor varies between $3 \mathrm{V}$ to $5 \mathrm{V}$ $3 \mathrm{V}$ to $6 \mathrm{V}$ $3.6 \mathrm{V}$ to $6 \mathrm{V}$ $3.6 \mathrm{V}$ to $5 \mathrm{V}$
An astable multivibrator circuit using $\text{IC 555}$ timer is shown below. Assume that the circuit is oscillating steadily.The voltage $V_{C}$ across the capacitor vari...
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54
GATE ECE 2008 | Question: 54
The logic function implemented by the following circuit at the terminal $\text{OUT}$ is $\text{P NOR Q}$ $\text{P NAND Q}$ $\text{P OR Q}$ $\text{P AND Q}$
The logic function implemented by the following circuit at the terminal $\text{OUT}$ is$\text{P NOR Q}$$\text{P NAND Q}$$\text{P OR Q}$$\text{P AND Q}$
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56
GATE ECE 2008 | Question: 56
The two numbers represented in signed $2\text{'s}$ complement form are $\mathrm{P}=11101101$ and $\mathrm{Q}=11100110$. If $\mathrm{Q}$ is subtracted from $\mathrm{P}$, the value obtained in signed $2\text{'s}$ complement form is $100000111$ $00000111$ $11111001$ $111111001$
The two numbers represented in signed $2\text{'s}$ complement form are $\mathrm{P}=11101101$ and $\mathrm{Q}=11100110$. If $\mathrm{Q}$ is subtracted from $\mathrm{P}$, t...
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57
GATE ECE 2008 | Question: 57
Which of the following Boolean Expressions correctly represents the relation between $\text{P, Q, R}$ and $\mathrm{M}_{1}?$ $\text{M}_{1} = \text{(P OR Q) XOR R}$ $\text{M}_{1} = \text{(P AND Q) XOR R}$ $\text{M}_{1} = \text{(P NOR Q) XOR R}$ $\text{M}_{1} = \text{(P XOR Q) XOR R}$
Which of the following Boolean Expressions correctly represents the relation between $\text{P, Q, R}$ and $\mathrm{M}_{1}?$ $\text{M}_{1} = \text{(P OR Q) XOR R}$$\text{M...
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58
GATE ECE 2008 | Question: 58
For the circuit shown in the following figure, $\mathrm{I}_{0}\text{-}\mathrm{I}_{3}$ are inputs to the $4: 1$ multiplexer. $\mathrm{R~(MSB)}$ and $\mathrm{S}$ are control bits. The output $\text{Z}$ ...
For the circuit shown in the following figure, $\mathrm{I}_{0}\text{-}\mathrm{I}_{3}$ are inputs to the $4: 1$ multiplexer. $\mathrm{R~(MSB)}$ and $\mathrm{S}$ are contro...
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59
GATE ECE 2008 | Question: 59
For each of the positive edge-triggered $\text{J-K}$ flip flop used in the following figure, the propagation delay is $\Delta T$. Which of the following waveforms correctly represents the output at $\mathrm{Q}_{1}?$
For each of the positive edge-triggered $\text{J-K}$ flip flop used in the following figure, the propagation delay is $\Delta T$.Which of the following waveforms correctl...
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61
GATE ECE 2008 | Question: 61
A rectangular waveguide of internal dimensions ( $\mathrm{a}=4 \mathrm{~cm}$ and $\mathrm{b}=3 \mathrm{~cm}$ ) is to be operated in $\mathrm{TE}_{11}$ mode. The minimum operating frequency is $6.25 \mathrm{~GHz}$ $6.0 \mathrm{~GHz}$ $5.0 \mathrm{~GHz}$ $3.75 \mathrm{~GHz}$
A rectangular waveguide of internal dimensions ( $\mathrm{a}=4 \mathrm{~cm}$ and $\mathrm{b}=3 \mathrm{~cm}$ ) is to be operated in $\mathrm{TE}_{11}$ mode. The minimum o...
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62
GATE ECE 2008 | Question: 62
One end of a loss-less transmission line having the characteristic impedance of $75 \; \Omega$ and length of $1 \mathrm{~cm}$ is short-circuited. At $3 \; \mathrm{GHz}$, the input impedance at the other end of the transmission line is $0$ Resistive Capacitive Inductive
One end of a loss-less transmission line having the characteristic impedance of $75 \; \Omega$ and length of $1 \mathrm{~cm}$ is short-circuited. At $3 \; \mathrm{GHz}$, ...
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63
GATE ECE 2008 | Question: 63
A uniform plane wave in the free space is normally incident on an infinitely thick dielectric slab (dielectric constant $\varepsilon_{r}=9$ ). The magnitude of the reflection coefficient is $0$ $0.3$ $0.5$ $0.8$
A uniform plane wave in the free space is normally incident on an infinitely thick dielectric slab (dielectric constant $\varepsilon_{r}=9$ ). The magnitude of the reflec...
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65
GATE ECE 2008 | Question: 65
At $20 \; \mathrm{GHz}$, the gain of a parabolic dish antenna of $1$ meter diameter and $70 \%$ efficiency is $15 \mathrm{~dB}$ $25 \mathrm{~dB}$ $35 \mathrm{~dB}$ $45 \mathrm{~dB}$
At $20 \; \mathrm{GHz}$, the gain of a parabolic dish antenna of $1$ meter diameter and $70 \%$ efficiency is$15 \mathrm{~dB}$$25 \mathrm{~dB}$$35 \mathrm{~dB}$$45 \mathr...
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66
GATE ECE 2008 | Question: 66
Noise with double-sided power spectral density of $\mathrm{K}$ over all frequencies is passed through a $\text{RC}$ low pass filter with $3 \mathrm{~dB}$ cut-off frequency of $f_{c}$. The noise power at the filter output is $\mathrm{K}$ $\mathrm{K} f_{c}$ $\mathrm{K} \pi f_{c}$ $\infty$
Noise with double-sided power spectral density of $\mathrm{K}$ over all frequencies is passed through a $\text{RC}$ low pass filter with $3 \mathrm{~dB}$ cut-off frequenc...
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68
GATE ECE 2008 | Question: 68
Four messages band limited to $\text{W, W, 2W}$ and $\text{3W}$ respectively are to be multiplexed using $\text{Time Division Multiplexing (TDM)}.$ The minimum bandwidth required for transmission of this $\text{TDM}$ signal is $\mathrm{W}$ $3 \mathrm{W}$ $6 \mathrm{W}$ $7 \mathrm{W}$
Four messages band limited to $\text{W, W, 2W}$ and $\text{3W}$ respectively are to be multiplexed using $\text{Time Division Multiplexing (TDM)}.$ The minimum bandwidth ...
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69
GATE ECE 2008 | Question: 69
Consider the frequency modulated signal $10 \cos \left[2 \pi \times 10^{5} t+5 \sin (2 \pi \times 1500 t)+7.5 \sin (2 \pi \times 1000 t)\right]$ with carrier frequency of $10^{5} \mathrm{~Hz}$. The modulation index is $12.5$ $10$ $7.5$ $5$
Consider the frequency modulated signal $10 \cos \left[2 \pi \times 10^{5} t+5 \sin (2 \pi \times 1500 t)+7.5 \sin (2 \pi \times 1000 t)\right]$ with carrier frequency of...
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70
GATE ECE 2008 | Question: 70
The signal $\cos \omega_{c} t+0.5 \cos \omega_{m} t \sin \omega_{c} t$ is $\mathrm{FM}$ only $\mathrm{AM}$ only both $\mathrm{AM}$ and $\mathrm{FM}$ neither $\mathrm{AM}$ nor $\mathrm{FM}$
The signal $\cos \omega_{c} t+0.5 \cos \omega_{m} t \sin \omega_{c} t$ is$\mathrm{FM}$ only$\mathrm{AM}$ onlyboth $\mathrm{AM}$ and $\mathrm{FM}$neither $\mathrm{AM}$ nor...
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78
GATE ECE 2008 | Question: 78
In the following network, the switch is closed at $t=0$ - and the sampling starts from $t=0$. The sampling frequency is $10 \mathrm{~Hz}$. The samples $x(n) \quad(n=0,1,2, \cdots \cdots)$ are given by $5\left(1-e^{-0.05 n}\right)$ $5 e^{-0.05 n}$ $5\left(1-e^{-5 n}\right)$ $5 e^{-5 n}$
In the following network, the switch is closed at $t=0$ - and the sampling starts from $t=0$. The sampling frequency is $10 \mathrm{~Hz}$.The samples $x(n) \quad(n=0,1,2,...
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80
GATE ECE 2008 | Question: 80
In the following transistor circuit, $V_{B E}=0.7 \mathrm{~V}, r_{e}=25 \; \mathrm{mV} / I_{E},$ and $\beta$ and all the capacitances are very large. The value of DC current $I_{E}$ is $1 \mathrm{~mA}$ $2 \mathrm{~mA}$ $5 \mathrm{~mA}$ $10 \mathrm{~mA}$
In the following transistor circuit, $V_{B E}=0.7 \mathrm{~V}, r_{e}=25 \; \mathrm{mV} / I_{E},$ and $\beta$ and all the capacitances are very large.The value of DC curre...
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