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#161
List item number 161
3
3 votes
2
2 answers
2.4k
2.4k views
GATE ECE 2024 | Question: 9
For the Boolean function\[F(A, B, C, D)=\sum m(0,2,5,7,8,10,12,13,14,15) \text {, }\]the essential prime implicants are $\_\_\_\_\_\_$.$B D, \bar{B} \bar{D}$$B D, A B...
admin
2.4k
views
asked
Feb 16, 2024
Combinational Circuits
gateece-2024
boolean-algebra
combinational-circuits
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#162
List item number 162
0
0 votes
0
0 answers
1.4k
1.4k views
GATE ECE 2024 | Question: 10
A white Gaussian noise $w(t)$ with zero mean and power spectral density $\frac{N_{0}}{2}$, when applied to a first-order RC low pass filter produces an output $n(t)$....
admin
1.4k
views
asked
Feb 16, 2024
Random Processes
gateece-2024
gaussian-noise
autocorrelation-and-power-spectral-density
random-variable
variance
rc-low-pass-filter
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#163
List item number 163
2
2 votes
1
1 answer
1.9k
1.9k views
GATE ECE 2024 | Question: 11
A causal and stable $\text{LTI}$ system with impulse response $h(t)$ produces an output $y(t)$ for an input signal $x(t)$. A signal $x(0.5 t)$ is applied to another c...
admin
1.9k
views
asked
Feb 16, 2024
Continuous-time Signals
gateece-2024
linear-time-invariant-systems
continuous-time-signals
impulse-response
signals-and-systems
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#164
List item number 164
0
0 votes
0
0 answers
2.7k
2.7k views
GATE ECE 2024 | Question: 12
For non-degenerately doped n-type silicon, which one of the following plots represents the temperature $(T)$ dependence of free electron concentration $(n)$ ?
admin
2.7k
views
asked
Feb 16, 2024
Carrier Transport
gateece-2024
semiconductor
silicon
carrier-transport
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#165
List item number 165
0
0 votes
2
2 answers
3.8k
3.8k views
GATE ECE 2024 | Question: 13
In the circuit shown, the $n: 1$ step-down transformer and the diodes are ideal. The diodes have no voltage drop in forward biased condition. If the input voltage (in Vo...
admin
3.8k
views
asked
Feb 16, 2024
Diode Circuits
gateece-2024
hilbert-transformer
diode-circuits
step-down-transformer
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#166
List item number 166
3
3 votes
0
0 answers
1.9k
1.9k views
GATE ECE 2024 | Question: 14
For a causal discrete-time LTI system with transfer function\[H(z)=\frac{2 z^{2}+3}{\left(z+\frac{1}{3}\right)\left(z-\frac{1}{3}\right)}\]which of the following sta...
admin
1.9k
views
asked
Feb 16, 2024
Discrete-time Signals
gateece-2024
linear-time-invariant-systems
discrete-time-signals
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#167
List item number 167
1
1 vote
0
0 answers
1.8k
1.8k views
GATE ECE 2024 | Question: 15
Let $\rho(x, y, z, t)$ and $u(x, y, z, t)$ represent density and velocity, respectively, at a point $(x, y, z)$ and time $t$. Assume $\frac{\partial \rho}{\partial t...
admin
1.8k
views
asked
Feb 16, 2024
Vector Analysis
gateece-2024
continuity-and-differentiability
vector-analysis
calculus
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#168
List item number 168
0
0 votes
0
0 answers
2.2k
2.2k views
GATE ECE 2024 | Question: 16
The free electron concentration profile $n(x)$ in a doped semiconductor at equilibrium is shown in the figure, where the points $\mathrm{A}, \mathrm{B}$, and $\mathrm{...
admin
2.2k
views
asked
Feb 16, 2024
Carrier Transport
gateece-2024
semiconductor
diffusion-current
+
–
#169
List item number 169
1
1 vote
1
1 answer
1.8k
1.8k views
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 disti...
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1.8k
views
asked
Feb 16, 2024
Computer Organization
gateece-2024
numerical-answers
semiconductor
machine-instruction
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#170
List item number 170
1
1 vote
1
1 answer
3.0k
3.0k views
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 $5...
admin
3.0k
views
asked
Feb 16, 2024
Analog Communications
gateece-2024
numerical-answers
amplitude-modulation
signals-and-systems
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#171
List item number 171
2
2 votes
1
1 answer
1.7k
1.7k views
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 $\_\_\_\_\_\_\_$.
admin
1.7k
views
asked
Feb 16, 2024
Number Representations
gateece-2024
numerical-answers
number-system
algebra
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#172
List item number 172
2
2 votes
2
2 answers
2.6k
2.6k views
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...
admin
2.6k
views
asked
Feb 16, 2024
Linear Algebra
gateece-2024
numerical-answers
linear-algebra
vector-analysis
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#173
List item number 173
1
1 vote
0
0 answers
1.5k
1.5k views
GATE ECE 2024 | Question: 21
In the given circuit, the current $I_{x}$ (in $m A$ ) is $\_\_\_\_\_\_\_\_$.
admin
1.5k
views
asked
Feb 16, 2024
BJT and MOSFET Amplifiers
gateece-2024
numerical-answers
voltage-reference-circuits
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#174
List item number 174
0
0 votes
1
1 answer
2.2k
2.2k views
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 fo...
admin
2.2k
views
asked
Feb 16, 2024
RL, RC, and RLC circuits
gateece-2024
numerical-answers
rlc-circuits
mos-capacitor
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#175
List item number 175
2
2 votes
0
0 answers
1.4k
1.4k views
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 tha...
admin
1.4k
views
asked
Feb 16, 2024
Probability and Statistics
gateece-2024
probability-and-statistics
random-variable
numerical-answers
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#176
List item number 176
0
0 votes
0
0 answers
1.8k
1.8k views
GATE ECE 2024 | Question: 24
A source transmits symbols from an alphabet of size $16$. The value of maximum achievable entropy (in bits) is $\_\_\_\_\_\_$.
admin
1.8k
views
asked
Feb 16, 2024
Information Theory
gateece-2024
information-theory
analog-communications
numerical-answers
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#177
List item number 177
1
1 vote
0
0 answers
2.8k
2.8k views
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 di...
admin
2.8k
views
asked
Feb 16, 2024
Digital Circuits
gateece-2024
zener-diode
digital-circuits
numerical-answers
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#178
List item number 178
1
1 vote
0
0 answers
2.1k
2.1k views
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 co...
admin
2.1k
views
asked
Feb 16, 2024
Engineering Mathematics
gateece-2024
engineering-mathematics
geometry
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#179
List item number 179
1
1 vote
0
0 answers
2.3k
2.3k views
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 dec...
admin
2.3k
views
asked
Feb 16, 2024
Control Systems
gateece-2024
feedback-systems
poles-and-zeros
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#180
List item number 180
1
1 vote
0
0 answers
2.0k
2.0k views
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...
admin
2.0k
views
asked
Feb 16, 2024
Control Systems
gateece-2024
feedback-systems
transfer-function
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