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2964
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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2965
GATE ECE 2004 | Question: 52
The Boolean expression $\text{AC + B} \overline{\text{C}}$ is equivalent to $\overline{\mathrm{A}} \mathrm{C}+\mathrm{B} \overline{\mathrm{C}}+\mathrm{AC}$ ...
The Boolean expression $\text{AC + B} \overline{\text{C}}$ is equivalent to$\overline{\mathrm{A}} \mathrm{C}+\mathrm{B} \overline{\mathrm{C}}+\mathrm{AC}$$\overline{\math...
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2966
GATE ECE 2004 | Question: 68
Consider the signal flow graph shown in the figure below. The gain $\frac{x_{5}}{x_{1}}$ is $\frac{1-\left(b e+c f+d g\right)}{a b c}$ $\frac{b e d g}{1-(b e+c f+d g)}$ $\frac{a b c d}{1-\left(b e+c f+d g\right)+bedg}$ $\frac{1-\left(b e+cf+d g\right)+b ed g}{a b c d}$
Consider the signal flow graph shown in the figure below. The gain $\frac{x_{5}}{x_{1}}$ is$\frac{1-\left(b e+c f+d g\right)}{a b c}$$\frac{b e d g}{1-(b e+c f+d g)}$$\fr...
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2967
GATE ECE 1995 | Question 1.41
A $1.0 \; \mathrm{kHz}$ signal is flat-top sampled at the rate of $1800$ samples sec and the samples are applied to an ideal rectangular $\text{LPF}$ with cat-off frequency of $1100 \mathrm{~Hz}$ ... $800 \mathrm{~Hz}$ and $1000 \mathrm{~Hz}$ components $800 \mathrm{~Hz}, 900$ and $1000 \mathrm{~Hz}$ components
A $1.0 \; \mathrm{kHz}$ signal is flat-top sampled at the rate of $1800$ samples sec and the samples are applied to an ideal rectangular $\text{LPF}$ with cat-off frequen...
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2968
GATE ECE 1995 | Question 2.2
A transistor having $\alpha=0.99$ and $\mathrm{V}_{\mathrm{BE}}=0.7 \mathrm{~V}$, is used in the circuit shown the figure is. The value of the collector current will be
A transistor having $\alpha=0.99$ and $\mathrm{V}_{\mathrm{BE}}=0.7 \mathrm{~V}$, is used in the circuit shown the figure is. The value of the collector current will be
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2970
GATE ECE 2006 | Question: 53
A system with input $x[n]$ and output $y[n]$ is given as $y[n]=\left(\sin \frac{5}{6} \pi n\right) x(n)$. The system is linear, stable and invertible non-linear, stable and non-invertible linear, stable and non-invertible linear, unstable and invertible
A system with input $x[n]$ and output $y[n]$ is given as $y[n]=\left(\sin \frac{5}{6} \pi n\right) x(n)$.The system islinear, stable and invertiblenon-linear, stable and ...
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2971
GATE ECE 2006 | Question: 55
The Nyquist plot of $\mathrm{G}(j \omega) \mathrm{H}(j \omega)$ for a closed loop control system, passes through $(-1, j 0)$ point in the $\mathrm{GH}$ plane. The gain margin of the system in $\mathrm{dB}$ is equal to infinite greater than zero. less than zero zero
The Nyquist plot of $\mathrm{G}(j \omega) \mathrm{H}(j \omega)$ for a closed loop control system, passes through $(-1, j 0)$ point in the $\mathrm{GH}$ plane. The gain ma...
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2973
GATE ECE 2006 | Question: 70
A mast antenna consisting of a $50$ meter long vertical conductor operates over a perfectly conducting ground plane. It is base-fed at a frequency of $600-\mathrm{kHz}$. The radiation resistance of the antenna in ohms is $\frac{2 \pi^{2}}{5}$ $\frac{\pi^{2}}{5}$ $\frac{4 \pi^{2}}{5}$ $20 \pi^{2}$
A mast antenna consisting of a $50$ meter long vertical conductor operates over a perfectly conducting ground plane. It is base-fed at a frequency of $600-\mathrm{kHz}$. ...
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2975
GATE ECE 2006 | Question: 80
Statement for Linked Answer Questions 80 and 81 Consider the following Amplitude Modulated (AM) signal, where $f_{m}<\mathrm{B}$ \[x_{\mathrm{AM}}(t)=10\left(1+0.5 \sin 2 \pi f_{m} t\right) \cos 2 \pi f_{c} t\] The average side-band power for the $\text{AM}$ signal given above is $25$ $12.5$ $6.25$ $3.125$
Statement for Linked Answer Questions 80 and 81Consider the following Amplitude Modulated (AM) signal, where $f_{m}<\mathrm{B}$\[x_{\mathrm{AM}}(t)=10\left(1+0.5 \sin 2 \...
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2977
GATE ECE 1994 | Question 3.4
A $p$-type silicon sample has a higher conductivity compared to an $n$-type sample having the same dopant concentration.
A $p$-type silicon sample has a higher conductivity compared to an $n$-type sample having the same dopant concentration.
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2978
GATE ECE 2007 | Question: 48
A Hilbert transformer is a non-linear system non-causal system time-varying system low-pass system
A Hilbert transformer is anon-linear systemnon-causal systemtime-varying systemlow-pass system
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2979
GATE ECE 2007 | Question: 53
The transfer function of a plant is $T(s)=\dfrac{5}{(s+5)\left(s^{2}+s+1\right)}$. The second-order approximation of $T(s)$ using dominant pole concept is $\frac{1}{(s+5)(s+1)}$ $\frac{5}{(s+5)(s+1)}$ $\frac{5}{s^{2}+s+1}$ $\frac{1}{s^{2}+s+1}$
The transfer function of a plant is $T(s)=\dfrac{5}{(s+5)\left(s^{2}+s+1\right)}$. The second-order approximation of $T(s)$ using dominant pole concept is$\frac{1}{(s+5)(...
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2981
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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2983
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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2984
GATE ECE 1993 | Question 6.9
In a multi-stage $\text{R-C}$ coupled amplifier the coupling capacitor limits the low frequency response limits the high frequency response does not affect the frequency response blocks the $d.c.$ component without affecting the frequency response
In a multi-stage $\text{R-C}$ coupled amplifier the coupling capacitorlimits the low frequency responselimits the high frequency responsedoes not affect the frequency res...
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2985
GATE ECE 1993 | Question 6.22
Six independent low pass signals of bandwidth $3\mathrm{W}, \mathrm{W}, \mathrm{W}, 2 \mathrm{W}, 3 \mathrm{W}$, and $2 \mathrm{W} \mathrm{~Hz}$ are to be time-division-multiplexer on a common channel using $\text{PAM}$. To achieve this, the minimum transmission bandwidth of the channel should be $ \dots \mathrm{Hz}$.
Six independent low pass signals of bandwidth $3\mathrm{W}, \mathrm{W}, \mathrm{W}, 2 \mathrm{W}, 3 \mathrm{W}$, and $2 \mathrm{W} \mathrm{~Hz}$ are to be time-division-m...
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2986
GATE ECE 1993 | Question 6.24
Consider a transmission line of characteristic impedance of $50 \; \mathrm{ohm}$. Let it be terminated at one end by $+j \; 50 \; \mathrm{ohm}$. The $\text{VSWR}$ produced by it in the transmission line will be $+1$ $0$ $\infty$ $+j$
Consider a transmission line of characteristic impedance of $50 \; \mathrm{ohm}$. Let it be terminated at one end by $+j \; 50 \; \mathrm{ohm}$. The $\text{VSWR}$ produce...
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2988
GATE ECE 2000 | Question 2.18
A system has a phase response given by $\phi(\omega)$, where $w$ is the angular frequency. The phase delay and group delay at $\omega=\omega_{0}$ ... $\omega_{o} \phi\left(\omega_{o}\right)_{1} \int_{-\infty}^{\omega_{\infty}} \phi(\lambda) d \lambda$
A system has a phase response given by $\phi(\omega)$, where $w$ is the angular frequency. The phase delay and group delay at $\omega=\omega_{0}$ are respectively given b...
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2990
GATE ECE 1999 | Question 2.19
The peak-to-peak input to an $8$-bit $\text{PCM}$ coder is $2$ volts. The signal power-to-quantization noise power ratio (in $d\text{B}$) for an input of $0.5 \cos \left(\omega_{m} t\right)$ is $47.8$ $49.8$ $95.6$ $99.6$
The peak-to-peak input to an $8$-bit $\text{PCM}$ coder is $2$ volts. The signal power-to-quantization noise power ratio (in $d\text{B}$) for an input of $0.5 \cos \left(...
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2991
GATE ECE 1999 | Question 2.20
The input to a matched filter is given by $s(t) = \left\{\begin{matrix} 10\\ 0 \end{matrix}\right. \begin{array}{ll} \sin \left(2 \pi \times 10^{6} t\right) & 0<1<10^{-4} \mathrm{sec} \\ & \text{otherwise} \end{array}$ The peak amplitude of the filter output is $10$ volts $5$ volts $10$ millivolts $5$ millivolts
The input to a matched filter is given by$s(t) = \left\{\begin{matrix} 10\\ 0 \end{matrix}\right. \begin{array}{ll} \sin \left(2 \pi \times 10^{6} t\right) & 0<1<10^{-4} ...
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2992
GATE ECE 1999 | Question 9
A transistor $\mathrm{LC}$ oscillator circuit is shown in the given figure. Assume that the transistor has very high $\beta$ (so that you may neglect $r_{d}$ ). Derive an equation governing the circuit operation, and find the frequency of oscillation. Also, state the gain condition required for oscillation to start.
A transistor $\mathrm{LC}$ oscillator circuit is shown in the given figure. Assume that the transistor has very high $\beta$ (so that you may neglect $r_{d}$ ). Derive an...
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2994
GATE ECE 2002 | Question: 7
The given figure shows $2$-stage amplifier. The transistors $\mathrm{Q}_{1}$ and $\mathrm{Q}_{2}$ are identical with current gain $\beta=100$; further $\beta_{\text {dc }}=\beta_{a c}=\beta$. The zener diode $D_{z}$ ... $\text{V}_{\text{T}}=25 \mathrm{mV}$ )
The given figure shows $2$-stage amplifier. The transistors $\mathrm{Q}_{1}$ and $\mathrm{Q}_{2}$ are identical with current gain $\beta=100$; further $\beta_{\text {dc }...
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2996
GATE ECE 1998 | Question 2.30
All transmission line sections shown in the figure is have a characteristic impedance $\text{R}_{0}+\text{j}_{0}$. The input impedance $\text{Z}_{\text {in}}$ equals $\frac{2}{3} \text{R}_{0}$ $\mathrm{R}_{0}$ $\frac{3}{2} \text{R}_{0}$ $2 \mathrm{R}_{\mathrm{0}}$
All transmission line sections shown in the figure is have a characteristic impedance $\text{R}_{0}+\text{j}_{0}$. The input impedance $\text{Z}_{\text {in}}$ equals$\fra...
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2997
GATE ECE 1998 | Question 2.40
The far field of an antenna varies with distance $\mathrm{r}$ as $\frac{1}{r}$ $\frac{1}{r^{2}}$ $\frac{1}{r^{3}}$ $\frac{1}{\sqrt{r}}$
The far field of an antenna varies with distance $\mathrm{r}$ as$\frac{1}{r}$$\frac{1}{r^{2}}$$\frac{1}{r^{3}}$$\frac{1}{\sqrt{r}}$
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2998
GATE ECE 2003 | Question: 56
The DTL, TTL, ECL and CMOS families of digital $\mathrm{IC}_{\mathrm{s}}$ are compared in the following $4$ ... $\text{P}$ $\text{Q}$ $\text{R}$ $\text{S}$
The DTL, TTL, ECL and CMOS families of digital $\mathrm{IC}_{\mathrm{s}}$ are compared in the following $4$ columns$$\begin{array}{lllll} & \textbf{(P)} & \textbf{(Q)} & ...
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3000
GATE ECE 2003 | Question: 79
A sinusoidal signal with peak-to-peak amplitude of $1.536 \mathrm{~V}$ is quantized into $128$ levels using a mid-rise uniform quantizer. The quantization-noise power is $0.768 \mathrm{~V}$ $48 \times 10^{-6} \mathrm{~V}^{2}$ $12 \times 10^{-6} \mathrm{~V}^{2}$ $3.072 \mathrm{~V}$
A sinusoidal signal with peak-to-peak amplitude of $1.536 \mathrm{~V}$ is quantized into $128$ levels using a mid-rise uniform quantizer. The quantization-noise power is$...
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