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1
GATE ECE 2009 | Question: 58
Consider the CMOS circuit shown, where the gate voltage $V_{G}$ of the $\text{n-MOSFET}$ is increased from zero, while the gate voltage of the $\text{p-MOSFET}$ is kept constant at $3 \mathrm{~V}$ ... $4-\frac{\sqrt{3}}{2} \mathrm{~V}$ $4+\frac{\sqrt{3}}{2} \mathrm{~V}$
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Mar 1
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140
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314
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2
GATE ECE 2024 | Question: 55
The photocurrent of a $\text{PN}$ junction diode solar cell is $1 \mathrm{~mA}$. The voltage corresponding to its maximum power point is $0.3 \mathrm{~V}$. If the thermal voltage is $30 \mathrm{mV}$, the reverse saturation current of the diode (in $\mathrm{nA}$, rounded off to two decimal places) is $\_\_\_\_\_\_$.
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Feb 28
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160
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3
GATE ECE 2024 | Question: 54
An $\text{NMOS}$ transistor operating in the linear region has $I_{D S}$ of $5 \mu \mathrm{A}$ at $V_{D S}$ of $0.1 \mathrm{~V}$. Keeping $V_{G S}$ constant, the $V_{D S}$ is increased to $1.5 \mathrm{~V}$ ... transconductance at the new operating point (in $\mu \mathrm{A} / \mathrm{V}$, rounded off to two decimal places) is $\_\_\_\_\_\_\_$.
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Feb 28
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makhdoom ghaya
160
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143
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4
GATE ECE 2024 | Question: 53
A non-degenerate n-type semiconductor has $5 \%$ neutral dopant atoms. Its Fermi level is located at $0.25 \mathrm{eV}$ below the conduction band $\left(E_{C}\right)$ and the donor energy level $\left(E_{D}\right)$ has a degeneracy of $2$. Assuming the thermal voltage to ... $E_{C}$ and $E_{D}$ (in $\mathrm{eV}$, rounded off to two decimal places) is $\_\_\_\_\_\_\_$.
makhdoom ghaya
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Feb 28
by
makhdoom ghaya
160
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258
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gateece-2024
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5
GATE ECE 2024 | Question: 52
In the network shown below, maximum power is to be transferred to the load $R_{L}$. The value of $R_{L}$ (in $\Omega$ ) is $\_\_\_\_\_\_\_$.
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Feb 28
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160
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179
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6
GATE ECE 2024 | Question: 51
Consider a MOS capacitor made with p-type silicon. It has an oxide thickness of $100 \mathrm{~nm}$, a fixed positive oxide charge of $10^{-8} \mathrm{C} / \mathrm{cm}^{2}$ at the oxide-silicon interface, and a metal work function of $4.6 \mathrm{eV}$. ... the work function of the p-type silicon (in $\mathrm{eV}$, rounded off to two decimal places) is $\_\_\_\_\_\_$.
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Feb 28
by
makhdoom ghaya
160
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118
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gateece-2024
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7
GATE ECE 2024 | Question: 50
For the two port network shown below, the value of the $Y_{21}$ parameter (in Siemens) is $\_\_\_\_\_\_$.
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Feb 28
by
makhdoom ghaya
160
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176
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gateece-2024
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8
GATE ECE 2024 | Question: 49
The relationship between any N-length sequence $x[n]$ and its corresponding $\mathrm{N}$-point discrete Fourier transform $X[k]$ is defined as \[ X[k]=\mathcal{F}\{x[n]\} . \] Another sequence $y[n]$ is formed as below \[ y[n]=\mathcal{F}\{\mathcal{F}\{\mathcal{F}\{\mathcal{F}\{ ... } . \] For the sequence $x[n]=\{1,2,1,3\}$, the value of $Y[0]$ is $\_\_\_\_\_\_\_\_\_$.
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Feb 28
by
makhdoom ghaya
160
points
120
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gateece-2024
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9
GATE ECE 2024 | Question: 48
A lossless transmission line with characteristic impedance $\mathrm{Z}_{0}=50 \Omega$ is terminated with an unknown load. The magnitude of the reflection co-efficient is $|\Gamma|=0.6$. As one moves towards the generator from the load, the maximum value of the input impedance magnitude looking towards the load (in $\Omega$ ) is $\_\_\_\_\_\_.$
makhdoom ghaya
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Feb 28
by
makhdoom ghaya
160
points
121
views
gateece-2024
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0
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10
GATE ECE 2024 | Question: 47
Let $X(t)=A \cos \left(2 \pi f_{0} t+\theta\right)$ be a random process, where amplitude $A$ and phase $\theta$ are independent of each other, and are uniformly distributed in the intervals $[-2,2]$ and $[0,2 \pi]$, respectively. $X(t)$ is ... quantization noise ratio (in $\mathrm{dB}$, rounded off to two decimal places) at the output of the quantizer is $\_\_\_\_\_\_$.
makhdoom ghaya
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Feb 28
by
makhdoom ghaya
160
points
112
views
gateece-2024
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0
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1
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11
GATE ECE 2024 | Question: 46
The radian frequency value(s) for which the discrete time sinusoidal signal $x[n]=A \cos (\Omega n+\pi / 3)$ has a period of $40$ is/are $\_\_\_\_\_\_$. $0.15 \pi$ $0.225 \pi$ $0.3 \pi$ $0.45 \pi$
makhdoom ghaya
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Feb 28
by
makhdoom ghaya
160
points
679
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gateece-2024
0
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12
GATE ECE 2024 | Question: 45
Consider the matrix $\left[\begin{array}{ll}1 & k \\ 2 & 1\end{array}\right]$, where $k$ is a positive real number. Which of the following vectors is/are eigenvector(s) of this matrix? $\left[\begin{array}{c}1 \\ -\sqrt{2 / k}\end{array}\right]$ ... $\left[\begin{array}{c}\sqrt{2 k} \\ -1\end{array}\right]$
makhdoom ghaya
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Feb 28
by
makhdoom ghaya
160
points
245
views
gateece-2024
0
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13
GATE ECE 2024 | Question: 44
Let $F_{1}, F_{2}$, and $F_{3}$ be functions of $(x, y, z)$. Suppose that for every given pair of points $A$ and $B$ in space, the line integral $\int_{C}\left(F_{1} \mathrm{~d} x+F_{2} \mathrm{~d} y+F_{3} \mathrm{~d} z\right)$ evaluates to ...
makhdoom ghaya
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Others
Feb 28
by
makhdoom ghaya
160
points
239
views
gateece-2024
0
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0
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14
GATE ECE 2024 | Question: 43
Consider a system $S$ represented in state space as \[ \frac{d x}{d t}=\left[\begin{array}{ll} 0 & -2 \\ 1 & -3 \end{array}\right] x+\left[\begin{array}{l} 1 \\ 0 \end{array}\right] r, y=\left[\begin{array}{ll} 2 & -5 \end{array}\ ...
makhdoom ghaya
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Feb 28
by
makhdoom ghaya
160
points
250
views
gateece-2024
0
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15
GATE ECE 2024 | Question: 42
Which of the following statements is/are true for a $\text{BJT}$ with respect to its DC current gain $\beta$ ? Under high-level injection condition in forward active mode, $\beta$ will decrease with increase in the magnitude of collector current. ... in active region. A higher value of $\beta$ will lead to a lower value of the collector-to-emitter breakdown voltage.
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Feb 28
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makhdoom ghaya
160
points
254
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gateece-2024
0
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0
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16
GATE ECE 2024 | Question: 41
In the circuit shown below, the transistors $M_{1}$ and $M_{2}$ are biased in saturation. Their small signal transconductances are $g_{m 1}$ and $g_{m 2}$ respectively. Neglect body effect, channel length modulation and intrinsic device capacitances. Assuming that capacitor $C_{1}$ is a ... $\frac{g_{m 2} R_{D}\left(\frac{1}{g_{m 1}}\right)}{\frac{1}{g_{m 1}}+R_{s}}$
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Feb 28
by
makhdoom ghaya
160
points
148
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gateece-2024
0
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0
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17
GATE ECE 2024 | Question: 40
In the circuit below, the opamp is ideal. If the circuit is to show sustained oscillations, the respective values of $R_{1}$ and the corresponding frequency of oscillation are $29 R$ and $1 /(2 \pi \sqrt{6} R C)$ $2 R$ and $1 /(2 \pi R C)$ $29 R$ and $1 /(2 \pi R C)$ $2 R$ and $1 /(2 \pi \sqrt{6} R C)$
makhdoom ghaya
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Feb 28
by
makhdoom ghaya
160
points
167
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gateece-2024
0
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0
answers
18
GATE ECE 2024 | Question: 39
The opamps in the circuit shown are ideal, but have saturation voltages of $\pm 10 \mathrm{~V}$. Assume that the initial inductor current is $0 \mathrm{~A}$. The input voltage $\left(\mathrm{V}_{\mathrm{i}}\right)$ is a triangular signal with peak ... delayed by $1 \mu$ s relative to $\mathrm{V}_{\mathrm{i}}$, and $\mathrm{V}_{02}$ is a trapezoidal waveform.
makhdoom ghaya
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Others
Feb 28
by
makhdoom ghaya
160
points
131
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gateece-2024
0
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0
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19
GATE ECE 2024 | Question: 38
A continuous time signal $x(t)=2 \cos (8 \pi t+\pi / 3)$ is sampled at a rate of $15 \mathrm{~Hz}$. The sampled signal $x_{s}(t)$ when passed through an LTI system with impulse response \[ h(t)=\left(\frac{\sin 2 \pi t}{\pi t}\right) \cos (38 \pi t-\pi / 2) \] ... $15 \sin (38 \pi t-\pi / 3)$ $15 \cos (38 \pi t-\pi / 6)$ $15 \cos (38 \pi t+\pi / 6)$
makhdoom ghaya
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Feb 28
by
makhdoom ghaya
160
points
177
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gateece-2024
0
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0
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20
GATE ECE 2024 | Question: 37
The information bit sequence $\{111010101\}$ is to be transmitted by encoding with Cyclic Redundancy Check $4$ (CRC-$4$) code, for which the generator polynomial is $C(x)=x^{4}+x+1$. The encoded sequence of bits is $\_\_\_\_\_\_\_$. $\{1110101011100\}$ $\{1110101011101\}$ $\{1110101011110\}$ $\{1110101010100\}$
makhdoom ghaya
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Feb 28
by
makhdoom ghaya
160
points
135
views
gateece-2024
0
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0
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21
GATE ECE 2024 | Question: 36
A full scale sinusoidal signal is applied to a $10$ -bit $\mathrm{ADC}$. The fundamental signal component in the $\mathrm{ADC}$ output has a normalized power of $1 \mathrm{~W}$, and the total noise and distortion normalized power is $10 \mu \mathrm{W}$. The effective ... off to the nearest integer) of the $\mathrm{ADC}$ is $\_\_\_\_\_\_\_$. $7$ $8$ $9$ $10$
makhdoom ghaya
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Feb 28
by
makhdoom ghaya
160
points
133
views
gateece-2024
0
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0
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22
GATE ECE 2024 | Question: 35
A source transmits a symbol $s$, taken from $\{-4,0,4\}$ with equal probability, over an additive white Gaussian noise channel. The received noisy symbol $r$ is given by $r=s+w$, where the noise $w$ is zero mean with variance 4 and is independent of $s$ ... $\frac{2}{3} Q(2)$ $\frac{4}{3} Q(1)$ $\frac{2}{3} Q(1)$ $\frac{4}{3} Q(2)$
makhdoom ghaya
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Others
Feb 28
by
makhdoom ghaya
160
points
130
views
gateece-2024
0
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0
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23
GATE ECE 2024 | Question: 34
Consider two continuous time signals $x(t)$ and $y(t)$ as shown below If $X(f)$ denotes the Fourier transform of $x(t)$, then the Fourier transform of $y(t)$ is $\_\_\_\_\_\_$. $-4 X(4 f) e^{-j \pi f}$ $-4 X(4 f) e^{-j 4 \pi f}$ $-\frac{1}{4} X(f / 4) e^{-j \pi f}$ $-\frac{1}{4} X(f / 4) e^{-j 4 \pi f}$
makhdoom ghaya
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Feb 28
by
makhdoom ghaya
160
points
351
views
gateece-2024
0
votes
0
answers
24
GATE ECE 2024 | Question: 33
Let $z$ be a complex variable. If $f(z)=\frac{\sin (\pi z)}{z^{2}(z-2)}$ and $C$ is the circle in the complex plane with $|z|=3$ then $\oint_{C} f(z) d z$ is $\_\_\_\_\_\_$. $\pi^{2} j$ $j \pi\left(\frac{1}{2}-\pi\right)$ $j \pi\left(\frac{1}{2}+\pi\right)$ $-\pi^{2} j$
makhdoom ghaya
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Feb 28
by
makhdoom ghaya
160
points
175
views
gateece-2024
0
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0
answers
25
GATE ECE 2024 | Question: 32
The sequence of states $\left(Q_{1} Q_{0}\right)$ of the given synchronous sequential circuit is - $\_\_\_\_\_\_\_$. $00 \rightarrow 10 \rightarrow 11 \rightarrow 00$ $11 \rightarrow 00 \rightarrow 10 \rightarrow 01 \rightarrow 00$ $01 \rightarrow 10 \rightarrow 11 \rightarrow 00 \rightarrow 01$ $00 \rightarrow 01 \rightarrow 10 \rightarrow 00$
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Feb 28
by
makhdoom ghaya
160
points
287
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gateece-2024
0
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0
answers
26
GATE ECE 2024 | Question: 31
The propagation delay of the $2 \times 1$ MUX shown in the circuit is $10 \mathrm{~ns}$. Consider the propagation delay of the inverter as $0 \mathrm{~ns}$. If $\text{S}$ is set to $1$ then the output $\text{Y}$ is $\_\_\_\_\_\_$. a square wave of frequency $100 \mathrm{MHz}$ a square wave of frequency $50 \mathrm{MHz}$ constant at $0$ constant at $1$
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Feb 28
by
makhdoom ghaya
160
points
299
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gateece-2024
0
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0
answers
27
GATE ECE 2024 | Question: 30
A $4$-bit priority encoder has inputs $D_{3}, D_{2}, D_{1}$, and $D_{0}$ in descending order of priority. The two-bit output $A B$ is generated as $00,01,10$, and 11 corresponding to inputs $D_{3}, D_{2}, D_{1}$, and $D_{0}$, respectively. The ... $D_{3} \overline{D_{2}}+\overline{D_{3}} D_{1}$ $\overline{D_{3}} \overline{D_{1}}$
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Feb 28
by
makhdoom ghaya
160
points
282
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gateece-2024
0
votes
0
answers
28
GATE ECE 2024 | Question: 29
A uniform plane wave with electric field $\vec{E}(x)=A_{y} \hat{a}_{y} e^{-j \frac{2 \pi x}{3}} \mathrm{~V} / \mathrm{m}$ is travelling in the air (relative permittivity, $\epsilon_{r}=1$ and relative permeability, $\mu_{r}=1$ ) in the $+x$ direction ( $A_{y}$ is a ... air (measured from $x=0$, in metres) is $\_\_\_\_\_\_\_$. $-\frac{3}{4}$ $-\frac{3}{2}$ $-6$ $-3$
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Feb 28
by
makhdoom ghaya
160
points
153
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gateece-2024
0
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0
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29
GATE ECE 2024 | Question: 28
A satellite attitude control system, as shown below, has a plant with transfer function $G(s)=\frac{1}{s^{2}}$ cascaded with a compensator $C(s)=\frac{K(s+\alpha)}{s+4}$, where $K$ and $\alpha$ are positive real constants. In order for the closed-loop system to have poles at $-1 \pm j \sqrt{3}$, the value of $\alpha$ must be $\_\_\_\_\_\_$. $0$ $1$ $2$ $3$
makhdoom ghaya
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Feb 28
by
makhdoom ghaya
160
points
387
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gateece-2024
0
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0
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30
GATE ECE 2024 | Question: 27
Consider a unity negative feedback control system with forward path gain $G(s)=\frac{K}{(s+1)(s+2)(s+3)}$ as shown. The impulse response of the closed-loop system decays faster than $e^{-t}$ if $\_\_\_\_\_\_$. $1 \leq K \leq 5$ $7 \leq K \leq 21$ $-4 \leq K \leq-1$ $-24 \leq K \leq-6$
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Feb 28
by
makhdoom ghaya
160
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304
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gateece-2024
0
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0
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31
GATE ECE 2024 | Question: 26
Consider the Earth to be a perfect sphere of radius $\text{R}$. Then the surface area of the region, enclosed by the $60^{\circ} \mathrm{N}$ latitude circle, that contains the north pole in its interior is $\_\_\_\_\_\_$. $(2-\sqrt{3}) \pi R^{2}$ $\frac{(\sqrt{2}-1) \pi R^{2}}{2}$ $\frac{2 \pi R^{2}}{3}$ $\frac{(2+\sqrt{3}) \pi R^{2}}{8 \sqrt{2}}$
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Feb 27
by
makhdoom ghaya
160
points
303
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gateece-2024
0
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0
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32
GATE ECE 2024 | Question: 25
As shown in the circuit, the initial voltage across the capacitor is $10 \mathrm{~V}$, with the switch being open. The switch is then closed at $t=0$. The total energy dissipated in the ideal Zener diode $\left(V_{Z}=5 \mathrm{~V}\right)$ after the switch is closed (in $\mathrm{mJ}$, rounded off to three decimal places) is $\_\_\_\_\_\_$.
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Feb 27
by
makhdoom ghaya
160
points
357
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gateece-2024
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0
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0
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33
GATE ECE 2024 | Question: 24
A source transmits symbols from an alphabet of size $16$. The value of maximum achievable entropy (in bits) is $\_\_\_\_\_\_$.
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Feb 27
by
makhdoom ghaya
160
points
319
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gateece-2024
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0
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34
GATE ECE 2024 | Question: 23
Suppose $\text{X}$ and $\text{Y}$ are independent and identically distributed random variables that are distributed uniformly in the interval $[0,1]$. The probability that $\text{X} \geq \text{Y}$ is $\_\_\_\_\_\_$.
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Feb 27
by
makhdoom ghaya
160
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377
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gateece-2024
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0
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0
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35
GATE ECE 2024 | Question: 22
In the circuit given below, the switch $\text{S}$ was kept open for a sufficiently long time and is closed at time $t=0$. The time constant (in seconds) of the circuit for $t>0$ is $\_\_\_\_\_\_$.
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Feb 27
by
makhdoom ghaya
160
points
213
views
gateece-2024
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0
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0
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36
GATE ECE 2024 | Question: 21
In the given circuit, the current $I_{x}$ (in $m A$ ) is $\_\_\_\_\_\_\_\_$.
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Feb 27
by
makhdoom ghaya
160
points
398
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gateece-2024
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0
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0
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37
GATE ECE 2024 | Question: 20
Let $\mathbb{R}$ and $\mathbb{R}^{3}$ denote the set of real numbers and the three dimensional vector space over it, respectively. The value of $\alpha$ for which the set of vectors \[ \left\{\left[\begin{array}{lll} 2 & -3 & \alpha \end{array}\right], \quad\left ... ; 7 \end{array}\right]\right\} \] does not form a basis of $\mathbb{R}^{3}$ is $\_\_\_\_\_\_\_$.
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Feb 27
by
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160
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335
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0
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0
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38
GATE ECE 2024 | Question: 19
In a number system of base $r$, the equation $x^{2}-12 x+37=0$ has $x=8$ as one of its solutions. The value of $r$ is $\_\_\_\_\_\_\_$.
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Feb 27
by
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160
points
302
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gateece-2024
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0
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0
answers
39
GATE ECE 2024 | Question: 18
An amplitude modulator has output (in Volts) \[ s(t)=A \cos (400 \pi t)+B \cos (360 \pi t)+B \cos (440 \pi t) . \] The carrier power normalized to $1 \Omega$ resistance is $50$ Watts. The ratio of the total sideband power to the total power is $1 / 9$. The value of $\text{B}$ (in Volts, rounded off to two decimal places) is $\_\_\_\_\_\_\_$.
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Feb 27
by
makhdoom ghaya
160
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351
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gateece-2024
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0
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0
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40
GATE ECE 2024 | Question: 17
A machine has a $32$-bit architecture with $1$-word long instructions. It has $24$ registers and supports an instruction set of size $40$. Each instruction has five distinct fields, namely opcode, two source register identifiers, one destination register ... value. Assuming that the immediate operand is an unsigned integer, its maximum value is $\_\_\_\_\_\_$.
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Feb 27
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160
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305
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