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763
GATE ECE 2004 | Question: 9
An ideal $\text{op-amp}$ is an ideal voltage controlled current source voltage controlled voltage source current controlled current source current controlled voltage source
An ideal $\text{op-amp}$ is an idealvoltage controlled current sourcevoltage controlled voltage sourcecurrent controlled current sourcecurrent controlled voltage source
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764
GATE ECE 2004 | Question: 10
Voltage series feedback (also called series-shunt feedback) results in increase in both input and output impedances decrease in both input and output impedances increase in input impedance and decrease in output impedance decrease in input impedance and increase in output impedance
Voltage series feedback (also called series-shunt feedback) results inincrease in both input and output impedancesdecrease in both input and output impedancesincrease in ...
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765
GATE ECE 2004 | Question: 11
The circuit in the given figure is a low-pass filter high-pass filter band-pass filter band-reject filter
The circuit in the given figure is alow-pass filterhigh-pass filterband-pass filterband-reject filter
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766
GATE ECE 2004 | Question: 12
Assuming $\mathrm{V}_{\text {CEsat }}=0.2 \mathrm{~V}$ and $\beta=50$, the minimum base current $\left(I_{v}\right)$ required to drive the transistor in the given figure to saturation is $56 \; \mu \mathrm{A}$ $140 \mathrm{~mA}$ $60 \mu \mathrm{A}$ $3 \; \mathrm{~mA}$
Assuming $\mathrm{V}_{\text {CEsat }}=0.2 \mathrm{~V}$ and $\beta=50$, the minimum base current $\left(I_{v}\right)$ required to drive the transistor in the given figure ...
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767
GATE ECE 2004 | Question: 13
A master-slave flip-flop has the characteristic that change in the input immediately reflected in the output change in the output occurs when the state of the master is affected change in the output occurs when the state of the slave is affected both the master and the slave states are affected at the same time
A master-slave flip-flop has the characteristic thatchange in the input immediately reflected in the outputchange in the output occurs when the state of the master is aff...
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768
GATE ECE 2004 | Question: 14
The range of signed decimal numbers that can be represented by $6$-bite $1$'s complement number is $-31$ to $+31$ $-63$ to $+64$ $-64$ to $+63$ $-32$ to $+31$
The range of signed decimal numbers that can be represented by $6$-bite $1$'s complement number is$-31$ to $+31$$-63$ to $+64$$-64$ to $+63$$-32$ to $+31$
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769
GATE ECE 2004 | Question: 15
A digital system is required to amplify a binary-encoded audio signal. The user should be able to control the gain of the amplifier from a minimum to a maximum in $100$ increments. The minimum number of bits required to encode, in straight binary, is $8$ $6$ $5$ $7$
A digital system is required to amplify a binary-encoded audio signal. The user should be able to control the gain of the amplifier from a minimum to a maximum in $100$ i...
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770
GATE ECE 2004 | Question: 16
Choose the correct one from among the alternatives $\text{A, B, C, D}$ after matching an item from Group $1$ with the most appropriate item in Group $2.$ ... $\mathrm{P}-2, \mathrm{Q}-1, \mathrm{R}-3$ $\text{P - 1, Q - 2, R - 2}$
Choose the correct one from among the alternatives $\text{A, B, C, D}$ after matching an item from Group $1$ with the most appropriate item in Group $2.$$$\begin{array}{|...
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771
GATE ECE 2004 | Question: 17
Figure given below shows the internal schematic of a $\text{TTL AND-OR}$ -Invert $\text{(AOI)}$ gate. For the inputs shown in the given figure, the output $\text{Y}$ is $0$ $1$ $\mathrm{AB}$ $\overline{\mathrm{AB}}$
Figure given below shows the internal schematic of a $\text{TTL AND-OR}$ -Invert $\text{(AOI)}$ gate. For the inputs shown in the given figure, the output $\text{Y}$ is $...
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772
GATE ECE 2004 | Question: 18
Given figure is the voltage transfer characteristic of an NMOS inverter with enhancement mode transistor as load an NMOS inverter with depletion mode transistor as load a CMOS inverter a BJT inverter
Given figure is the voltage transfer characteristic ofan NMOS inverter with enhancement mode transistor as loadan NMOS inverter with depletion mode transistor as loada CM...
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773
GATE ECE 2004 | Question: 19
The impulse response $h[n]$ of a linear time-invariant system is given by \[h[n]=u[n+3]+u[n-2]-2 u[n-7]\] where $u[n]$ is the unit step sequence. The above system is stable but not causal stable and causal causal but unstable unstable and not causal
The impulse response $h[n]$ of a linear time-invariant system is given by\[h[n]=u[n+3]+u[n-2]-2 u[n-7]\]where $u[n]$ is the unit step sequence. The above system isstable ...
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774
GATE ECE 2004 | Question: 20
The distribution function $\mathrm{F}_{1}(x)$ of a random variable $\mathrm{X}$ is shown in the figure. The probability that $X=1$ is zero $0.25$ $0.55$ $0.30$
The distribution function $\mathrm{F}_{1}(x)$ of a random variable $\mathrm{X}$ is shown in the figure. The probability that $X=1$ iszero$0.25$$0.55$$0.30$
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775
GATE ECE 2004 | Question: 21
The $z$-transform of a system is $H(z)=\frac{z}{z-0.2}.$ If the ROC is $|z|<0.2$, then the impulse response of the system is $(0.2)^{n} u[n]$ $(0.2)^{n} u[-n-1]$ $-(0.2)^{n} u[n]$ $-(0.2)^{n} u[-n-1]$
The $z$-transform of a system is $H(z)=\frac{z}{z-0.2}.$ If the ROC is $|z|<0.2$, then the impulse response of the system is$(0.2)^{n} u[n]$$(0.2)^{n} u[-n-1]$$-(0.2)^{n}...
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776
GATE ECE 2004 | Question: 22
The Fourier transform of a conjugate symmetric function is always imaginary conjugate anti-symmetric real conjugate symmetric
The Fourier transform of a conjugate symmetric function is alwaysimaginaryconjugate anti-symmetricrealconjugate symmetric
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777
GATE ECE 2004 | Question: 23
The gain margin for the system with open-loop transfer function $\mathrm{G}(s) \mathrm{H}(z)=\frac{2(1+z)}{s^{2}}$, is $\infty$ $0$ $1$ $-\infty$
The gain margin for the system with open-loop transfer function $\mathrm{G}(s) \mathrm{H}(z)=\frac{2(1+z)}{s^{2}}$, is$\infty$$0$$1$$-\infty$
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778
GATE ECE 2004 | Question: 24
Given $\mathrm{G}(s) \mathrm{H}(z)=\frac{\mathrm{K}}{s(s+1)(s+3)}$, the point of intersection of the asymptotes of the root loci with the real axis is $-4$ $1.33$ $-1.33$ $4$
Given $\mathrm{G}(s) \mathrm{H}(z)=\frac{\mathrm{K}}{s(s+1)(s+3)}$, the point of intersection of the asymptotes of the root loci with the real axis is$-4$$1.33$$-1.33$$4$...
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779
GATE ECE 2004 | Question: 25
In a $\text{PCM}$ system, if the code word length is increased from $6$ to $8$ bits, the signal to quantization noise ratio improves by the factor $8 / 6$ $12$ $16$ $8$
In a $\text{PCM}$ system, if the code word length is increased from $6$ to $8$ bits, the signal to quantization noise ratio improves by the factor$8 / 6$$12$$16$$8$
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781
GATE ECE 2004 | Question: 27
An AM signal and a narrow-band FM signal with identical carriers, modulating signals and modulation indices of $0.1$ are added together. The resultant signal can be closely approximated by broadband FM SSB with carrier DSB-SC SSB without carrier
An AM signal and a narrow-band FM signal with identical carriers, modulating signals and modulation indices of $0.1$ are added together. The resultant signal can be close...
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783
GATE ECE 2004 | Question: 29
The phase velocity of an electromagnetic wave propagating in a hollow metallic rectangular waveguide in the $\mathrm{TE}_{10}$ mode is equal to its group velocity less than the velocity of light in free space equal to the velocity of light in free space greater than the velocity of light in free space
The phase velocity of an electromagnetic wave propagating in a hollow metallic rectangular waveguide in the $\mathrm{TE}_{10}$ mode isequal to its group velocityless than...
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784
GATE ECE 2004 | Question: 30
Consider a lossless antenna with a directive gain of $+6 \mathrm{~dB}$. If $1 \mathrm{~mW}$ of power is fed to it the total power radiated to the antenna will be $4 \mathrm{~mW}$ $1 \mathrm{~mW}$ $7 \mathrm{~mW}$ $1 / 4 \mathrm{~mW}$
Consider a lossless antenna with a directive gain of $+6 \mathrm{~dB}$. If $1 \mathrm{~mW}$ of power is fed to it the total power radiated to the antenna will be$4 \mathr...
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785
GATE ECE 2004 | Question: 31
For the lattice circuit shown in the figure, $Z_{a}=j 2 \Omega$ and $Z_{b}=2 \Omega$. The values of the open circuit impedance parameters $Z=\left[\begin{array}{ll}z_{11} & z_{12} \\ z_{21} & z_{22}\end{array}\right]$ ... $\left[\begin{array}{cc}1+j & -1+j \\ -1-j & 1-j\end{array}\right]$
For the lattice circuit shown in the figure, $Z_{a}=j 2 \Omega$ and $Z_{b}=2 \Omega$. The values of the open circuit impedance parameters $Z=\left[\begin{array}{ll}z_{11}...
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787
GATE ECE 2004 | Question: 33
Consider the Bode magnitude plot shown in the given figure. The transfer function $\mathrm{H}(s)$ is $\frac{(s+10)}{(s+1)(s+100)}$ $\frac{10(s+1)}{(s+1)(s+100)}$ $\frac{10^{2}(s+1)}{(s+10)(s+100)}$ $\frac{10^{3}(s+100)}{(s+1)(s+10)}$
Consider the Bode magnitude plot shown in the given figure. The transfer function $\mathrm{H}(s)$ is$\frac{(s+10)}{(s+1)(s+100)}$$\frac{10(s+1)}{(s+1)(s+100)}$$\frac{10^{...
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788
GATE ECE 2004 | Question: 34
The transfer function $H(s)=\frac{V_{0}(s)}{V_{i}(s)}$ of an R-L-C circuit is given by \[H(s)=\frac{10^{6}}{s^{2}+20 s+10^{6}}\] The Quality factor (Q-factor) of this circuit is $25$ $50$ $100$ $5000$
The transfer function $H(s)=\frac{V_{0}(s)}{V_{i}(s)}$ of an R-L-C circuit is given by\[H(s)=\frac{10^{6}}{s^{2}+20 s+10^{6}}\]The Quality factor (Q-factor) of this circu...
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789
GATE ECE 2004 | Question: 35
For the circuit shown in the figure, the initial conditions are zero. Its transfer function $ H(s) = \frac{V_{c}(s)}{V_{i}(s)}$ $\frac{1}{s^{2}+10^{6} s+10^{6}}$ $\frac{10^{6}}{s^{2}+10^{3} s+10^{6}}$ $\frac{10^{3}}{s^{2}+10^{3} s+10^{6}}$ $\frac{10^{6}}{s^{2}+10^{6} s+10^{6}}$
For the circuit shown in the figure, the initial conditions are zero. Its transfer function$$ H(s) = \frac{V_{c}(s)}{V_{i}(s)}$$$\frac{1}{s^{2}+10^{6} s+10^{6}}$$\frac{10...
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796
GATE ECE 2004 | Question: 42
The drain of an $n$-channel MOSFET is shorted to the gate so that $V_{G S}=V_{D s}$. The threshold voltage $\left(V_{T}\right)$ of MOSFET is $1 \mathrm{~V}$. If the drain current $\left(\mathrm{I}_{\mathrm{D}}\right)$ is $1 \mathrm{~mA}$ ... $2 \mathrm{~mA}$ $3 \mathrm{~mA}$ $9 \mathrm{~mA}$ $4 \mathrm{~mA}$
The drain of an $n$-channel MOSFET is shorted to the gate so that $V_{G S}=V_{D s}$. The threshold voltage $\left(V_{T}\right)$ of MOSFET is $1 \mathrm{~V}$. If the drain...
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799
GATE ECE 2004 | Question: 45
Assuming that the $\beta$ of the transistor is extremely large and $\text{V}_{\text{B E}}=0.7 \mathrm{~V}, \text{I}_{\text{C}}$ and $\text{V}_{\text{CE}}$ ... $\mathrm{I}_{\mathrm{C}}=0.5 \mathrm{~mA}, \mathrm{~V}_{\mathrm{CE}}=3.9 \mathrm{~V}$
Assuming that the $\beta$ of the transistor is extremely large and $\text{V}_{\text{B E}}=0.7 \mathrm{~V}, \text{I}_{\text{C}}$ and $\text{V}_{\text{CE}}$ in the circuit ...
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800
GATE ECE 2004 | Question: 46
A bipolar transistor is operating in the active region with a collector current of $1 \mathrm{~mA}$. Assuming that the $\beta$ of the transistor is $100$ and the thermal voltage $\left(\mathrm{V}_{\mathrm{T}}\right)$ is $25 \; \mathrm{mV}$ ... $g_{m}=40 \mathrm{~mA} / \mathrm{V}$ and $r_{n}=2.5 \; \mathrm{k} \Omega$
A bipolar transistor is operating in the active region with a collector current of $1 \mathrm{~mA}$. Assuming that the $\beta$ of the transistor is $100$ and the thermal ...
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