Register

Recent questions tagged gateece-2022

1 1 vote
1 1 answer
1.9k
1.9k views
GATE ECE 2022 | Question: 21
The bar graph shows the frequency of the number of wickets taken in a match by a bowler in her career. For example, in $17$ of her matches, the bowler has taken $5$ wicke...
User Avatar
0 0 votes
0 0 answers
612
612 views
GATE ECE 2022 | Question: 22
A simple closed path $C$ in the complex plane is shown in the figure. If$$\oint_{c} \frac{2^{z}}{z^{2} – 1}dz = – i \pi A,$$where $i = \sqrt{-1},$ then the value of $A$ i...
User Avatar
1 1 vote
0 0 answers
440
440 views
GATE ECE 2022 | Question: 23
Let $x_{1} (t) = e^{-t}u(t)$ and $x_{2}(t) = u(t) – u(t – 2),$ where $u(\cdot)$ denotes the unit step function.If $y(t)$ denotes the convolution of $x_{1}(t)$ and $x_{2}...
User Avatar
0 0 votes
0 0 answers
679
679 views
GATE ECE 2022 | Question: 24
An ideal $\text{MOS}$ capacitor (p-type semiconductor) is shown in the figure. The $\text{MOS}$ capacitor is under strong inversion with $V_{G} = 2 \; \text{V}.$ The corr...
User Avatar
0 0 votes
0 0 answers
760
760 views
GATE ECE 2022 | Question: 25
A symbol stream contains alternate $\text{QPSK}$ and $\text{16-QAM}$ symbols. If symbols from this stream are transmitted at the rate of $1$ mega-symbols per second, the ...
User Avatar
0 0 votes
0 0 answers
725
725 views
GATE ECE 2022 | Question: 26
The function $f(x) = 8 \log_{e} x – x^{2} + 3$ attains its minimum over the interval $[1, e]$ at $x = $____________.(Here $\log_{e}x$ is the natural logarithm of $x$.)$2$...
User Avatar
1 1 vote
1 1 answer
820
820 views
GATE ECE 2022 | Question: 27
Let $\alpha, \beta$ be two non-zero real numbers and $v_{1}, v_{2}$ be two non-zero real vectors of size $3 \times 1.$ Suppose that $v_{1}$ and $v_{2}$ satisfy $v_{1}^{T}...
User Avatar
1 1 vote
0 0 answers
522
522 views
GATE ECE 2022 | Question: 28
For the circuit shown, the locus of the impedance $Z (j \omega)$ is plotted as $\omega$ increases from zero to infinity. The values of $R_{1}$ and $R_{2}$ are:$R_{1} = 2 ...
User Avatar
1 1 vote
0 0 answers
603
603 views
GATE ECE 2022 | Question: 29
Consider the circuit shown in the figure with input $V(t)$ in volts. The sinusoidal steady state current $I(t)$ flowing through the circuit is shown graphically (where $t...
User Avatar
0 0 votes
0 0 answers
570
570 views
GATE ECE 2022 | Question: 30
Consider an ideal long channel $n \text{MOSFET}$ (enhancement-mode) with gate length $10 \; \mu \text{m}$ and width $100 \; \mu \text{m}.$ The product of electron mobilit...
User Avatar
0 0 votes
0 0 answers
575
575 views
GATE ECE 2022 | Question: 31
For the following circuit with an ideal $\text{OPAMP},$ the difference between the maximum and the minimum values of the capacitor voltage $(V_{c})$ is ____________.$15 \...
User Avatar
0 0 votes
0 0 answers
555
555 views
GATE ECE 2022 | Question: 32
A circuit with an ideal $\text{OPAMP}$ is shown. The Bode plot for the magnitude $\text{(in dB)}$ of the gain transfer function $(A_{V} (j \omega) = V_{\text{out}} (j \om...
User Avatar
1 1 vote
0 0 answers
778
778 views
GATE ECE 2022 | Question: 33
For the circuit shown, the clock frequency is $f_{0}$ and the duty cycle is $25 \%.$ For the signal at the $\text{Q}$ output of the Flip-Flop, _______________.frequency i...
User Avatar
1 1 vote
0 0 answers
499
499 views
GATE ECE 2022 | Question: 34
Consider an even polynomial $p(s)$ given by$$p(s) = s^{4} + 5s^{2} + 4 + K,$$where $K$ is an unknown real parameter. The complete range of $K$ for which $p(s)$ has all it...
User Avatar
0 0 votes
0 0 answers
370
370 views
GATE ECE 2022 | Question: 35
Consider the following series:$$ \sum_{n=1}^{\infty} \frac{n^{d}}{c^{n}}$$For which of the following combinations of $c, d$ values does this series converge?$ c= 1, d = –...
User Avatar
1 1 vote
0 0 answers
347
347 views
GATE ECE 2022 | Question: 36
The outputs of four systems $(S_{1}, S_{2}, S_{3},$ and $\text{S}_{4})$ corresponding to the input signal $\sin(t),$ for all time $t,$ are shown in the figure.Based on th...
User Avatar
0 0 votes
0 0 answers
405
405 views
GATE ECE 2022 | Question: 37
Select the $\text{CORRECT}$ statement(s) regarding semiconductor devices.Electrons and holes are of equal density in an intrinsic semiconductor at equilibrium.Collector r...
User Avatar
1 1 vote
0 0 answers
344
344 views
GATE ECE 2022 | Question: 38
A state transition diagram with states $A, B,$ and $C,$ and transition probabilities $p_{1}, p_{2}, \dots, p_{7}$ is shown in the figure (e.g., $\text{p}_{1}$ denotes the...
User Avatar
2 2 votes
1 answers 1 answer
2.4k
2.4k views
GATE ECE 2022 | Question: 39
Consider a Boolean gate $\text{(D)}$ where the output $Y$ is related to the inputs $A$ and $B$ as, $Y = A + \overline{B},$ where $+$ denotes logical $\text{OR}$ operation...
User Avatar
1 1 vote
0 0 answers
560
560 views
GATE ECE 2022 | Question: 40
Two linear time-invariant systems with transfer functions$$G_{1}(s) = \frac{10}{s^{2}+s+1} \; \text{and} \; G_{2}(s) = \frac{10}{s^{2}+s\sqrt{10}+10}$$have unit step resp...
User Avatar
1 1 vote
0 0 answers
548
548 views
GATE ECE 2022 | Question: 41
Consider an $\text{FM}$ broadcast that employs the pre-emphasis filter with frequency response$$H_{pe}(\omega) = 1 + \frac{j \omega}{\omega_{0}},$$where $\omega_{0} = 10^...
User Avatar
0 0 votes
0 0 answers
516
516 views
GATE ECE 2022 | Question: 42
A waveguide consists of two infinite parallel plates (perfect conductors) at a separation of $10^{-4} \; \text{cm},$ with air as the dielectric. Assume the speed of light...
User Avatar
0 0 votes
0 0 answers
580
580 views
GATE ECE 2022 | Question: 43
The value of the integral$$ \iint_{D} 3(x^{2} + y^{2})dxdy,$$where $D$ is the shaded triangular region shown in the diagram, is ___________ (rounded off to the nearest in...
User Avatar
0 0 votes
0 0 answers
449
449 views
GATE ECE 2022 | Question: 44
A linear $\text{2-port}$ network is shown in $\text{Fig.(a)}.$ An ideal $\text{DC}$ voltage source of $10 \; \text{V}$ is connected across Port $1.$ A variable resistance...
User Avatar
1 1 vote
0 0 answers
408
408 views
GATE ECE 2022 | Question: 45
For a vector $\overline{x} = \left[ x [0], x , \dots, x[7] \right],$ the $\text{8-point}$ discrete Fourier transform $\text{(DFT)}$ is denoted by $\overline{X} = DFT (\ov...
User Avatar
0 0 votes
0 0 answers
718
718 views
GATE ECE 2022 | Question: 46
A $p-$type semiconductor with zero electric field is under illumination (low level injection) in steady state condition. Excess minority carrier density is zero at $x = \...
User Avatar
0 0 votes
0 0 answers
424
424 views
GATE ECE 2022 | Question: 47
A circuit and the characteristics of the diode $\text{(D)}$ in it are shown. The ratio of the minimum to the maximum small signal voltage gain $\frac{\partial V_{\text{ou...
User Avatar
1 1 vote
0 0 answers
419
419 views
GATE ECE 2022 | Question: 50
The block diagram of a closed-loop control system is shown in the figure. $R(s), Y(s),$ and $D(s)$ are the Laplace transforms of the time-domain signals $r(t), y(t),$ and...
User Avatar
0 0 votes
0 0 answers
490
490 views
GATE ECE 2022 | Question: 51
The transition diagram of a discrete memoryless channel with three input symbols and three output symbols is shown in the figure. The transition probabilities are as mark...
User Avatar
0 0 votes
0 0 answers
613
613 views
GATE ECE 2022 | Question: 54
Consider a real valued source whose samples are independent and identically distributed random variables with the probability density function, $f(x),$ as shown in the fi...
User Avatar
Page: