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GATE IN 2023 | Question: 45
A sinusoidal current of $i_1(t)=1 \sin (200 \pi t) \mathrm{mA}$ is flowing through a $4~ \mathrm{H}$ inductor which is mutually coupled to another $5 ~ \mathrm{H}$ induct...
admin
3.2k
points
asked
May 22, 2023
Electrical Circuits and Machines
gatein-2023
electrical-circuits-and-machines
numerical-answers
+
–
0
0 votes
0
0 answers
GATE IN 2023 | Question: 46
The figure below shows a feedback amplifier constructed using an nMOS transistor. Assume that $\mu_{\mathrm{n}} \mathrm{C}_{\mathrm{ox}}=1 \mathrm{~mA} / \mathrm{V}^2$, t...
admin
3.2k
points
asked
May 22, 2023
Analog Electronics
gatein-2023
analog-electronics
numerical-answers
+
–
0
0 votes
1
1 answer
GATE IN 2023 | Question: 47
Consider the real-valued function $g(x)=\max \left\{(x-2)^2,-2 x+7\right\}$, where $x \in(-\infty, \infty)$. The minimum value attained by $g(x)$ is_____________(rounded ...
admin
3.2k
points
asked
May 22, 2023
Calculus
gatein-2023
numerical-answers
calculus
maxima-minima
+
–
0
0 votes
0
0 answers
GATE IN 2023 | Question: 48
A short-circuit test is conducted on a single-phase transformer by shorting its secondary. The frequency of input voltage is $1 ~ \mathrm{kHz}$. The corresponding wattmet...
admin
3.2k
points
asked
May 22, 2023
Electrical Circuits and Machines
gatein-2023
electrical-circuits-and-machines
numerical-answers
+
–
0
0 votes
0
0 answers
GATE IN 2023 | Question: 49
The opamps in the circuit are ideal. The input signals are$$\mathrm{V}_{\mathrm{S} 1}=3+0.10 \sin (300 t) ~ \mathrm{V} \text { and } \mathrm{V}_{\mathrm{S} 2}=-2+0.11 \si...
admin
3.2k
points
asked
May 22, 2023
Analog Electronics
gatein-2023
analog-electronics
numerical-answers
+
–
0
0 votes
0
0 answers
GATE IN 2023 | Question: 50
In the circuit shown, the input voltage $\mathrm{V}_{\text {in }}=100 ~ \mathrm{mV}$. The switch and the opamp are ideal. At time $\mathrm{t}=0$, the initial charge store...
admin
3.2k
points
asked
May 22, 2023
Electrical Circuits and Machines
gatein-2023
analog-electronics
numerical-answers
+
–
0
0 votes
0
0 answers
GATE IN 2023 | Question: 51
In the diagram shown, the frequency of the sinusoidal source voltage $\mathrm{V}_{\mathrm{S}}$ is $50 \mathrm{~Hz}$. The load voltage is $230 \mathrm{~V}$ (RMS), and the ...
admin
3.2k
points
asked
May 22, 2023
Measurements
gatein-2023
analog-electronics
numerical-answers
+
–
0
0 votes
0
0 answers
GATE IN 2023 | Question: 52
In the circuit shown, assuming an ideal opamp, the value of the output voltage$\mathrm{V}_{\mathrm{o}}=$____________$\mathrm{V}$ (rounded off to one decimal place).
admin
3.2k
points
asked
May 22, 2023
Analog Electronics
gatein-2023
analog-electronics
numerical-answers
+
–
0
0 votes
0
0 answers
GATE IN 2023 | Question: 54
A $1.999 \mathrm{~V}$ True $\text{RMS 3-1/2}$ digit multimeter has an accuracy of $\pm 0.1 \%$ of reading $\pm 2$ digits.It is used to measure $100 \mathrm{~A}$ (RMS) cur...
admin
3.2k
points
asked
May 22, 2023
Measurements
gatein-2023
measurements
analytical-aptitude
numerical-answers
+
–
0
0 votes
0
0 answers
GATE IN 2023 | Question: 55
The voltage source $\mathrm{Vs}=10 \sqrt{2} \sin (20000 \pi t) ~ \mathrm{V}$ has an internal resistance of $50~ \Omega$. The RMS value of the current through $\mathrm{R}$...
admin
3.2k
points
asked
May 22, 2023
Electrical Circuits and Machines
gatein-2023
electrical-circuits-and-machines
numerical-answers
+
–
0
0 votes
0
0 answers
GATE IN 2022 | Question: 1
The input $x(t)$ to a system is related to its output $y(t)$ as$$\frac{dy(t)}{dt} + y(t) = 3x (t-3)u (t-3)$$Here $u(t)$ represents a unit-step function.The transfer funct...
Lakshman Bhaiya
2.5k
points
asked
Mar 20, 2022
Signals and Systems
gatein-2022
control-systems
signals-and-systems
numerical-answers
+
–
0
0 votes
0
0 answers
GATE IN 2022 | Question: 2
A pneumatic nozzle-flapper system is conventionally used to convert __________Small changes in flapper’s velocity to large changes in output temperatureSmall changes in f...
Lakshman Bhaiya
2.5k
points
asked
Mar 20, 2022
Sensors and Industrial Instrumentation
gatein-2022
control-systems
sensors-and-industrial-instrumentation
+
–
0
0 votes
0
0 answers
GATE IN 2022 | Question: 3
A periodic function $f(x),$ with period $2,$ is defined as$f(x) = \left\{\begin{matrix} -1 -x & -1 \leq x < 0 \\ 1 – x & 0 < x \leq 1 \end{matrix}\right. $The Fourier ser...
Lakshman Bhaiya
2.5k
points
asked
Mar 20, 2022
Signals and Systems
gatein-2022
signals-and-systems
analysis-of-complex-variables
+
–
0
0 votes
0
0 answers
GATE IN 2022 | Question: 4
The output of a system $y(t)$ is related to its input $x(t)$ according to the relation $y(t) = x(t) \sin (2 \pi t).$ This system is __________Linear and time-variantNon-l...
Lakshman Bhaiya
2.5k
points
asked
Mar 20, 2022
Signals and Systems
gatein-2022
signals-and-systems
+
–
0
0 votes
0
0 answers
GATE IN 2022 | Question: 5
A unity-gain negative-feedback control system has a loop-gain $L(s)$ given by$$L(s) = \frac{6}{s(s-5)}$$The closed-loop system is _________Causal and stableCausal and uns...
Lakshman Bhaiya
2.5k
points
asked
Mar 20, 2022
Control Systems
gatein-2022
control-systems
+
–
0
0 votes
0
0 answers
GATE IN 2022 | Question: 6
A sinusoidal carrier wave with amplitude $A_{c}$ and frequency $f_{c}$ is amplitude modulated with a message signal $m(t)$ having frequency $0 < f_{m} \ll f_{c}$ to gener...
Lakshman Bhaiya
2.5k
points
asked
Mar 20, 2022
Communication and Optical Instrumentation
gatein-2022
communication-and-optical-instrumentation
numerical-answers
+
–
0
0 votes
0
0 answers
GATE IN 2022 | Question: 7
A Hall sensor is based on the principle of ___________Photoelectric effectSeebeck effectPiezoelectric effectLorentz force
Lakshman Bhaiya
2.5k
points
asked
Mar 20, 2022
Sensors and Industrial Instrumentation
gatein-2022
sensors-and-industrial-instrumentation
+
–
0
0 votes
0
0 answers
GATE IN 2022 | Question: 8
A signal $x(t)$ is band-limited between $100 \; \text{Hz}$ and $200 \; \text{Hz}.$A signal $y(t)$ is related to $x(t)$ as follows:$$y(t) = x (2t – 5)$$The statement that ...
Lakshman Bhaiya
2.5k
points
asked
Mar 20, 2022
Signals and Systems
gatein-2022
signals-and-systems
communication-and-optical-instrumentation
+
–
0
0 votes
0
0 answers
GATE IN 2022 | Question: 9
The figure shows a Chromel-Alumel thermocouple, where the junction $A$ is held at temperature $T_{A},$ and a thermal emf $E_{1}$ is measured using an ideal voltmeter betw...
Lakshman Bhaiya
2.5k
points
asked
Mar 20, 2022
Sensors and Industrial Instrumentation
gatein-2022
communication-and-optical-instrumentation
measurements
sensors-and-industrial-instrumentation
+
–
0
0 votes
0
0 answers
GATE IN 2022 | Question: 10
The resistance of a pure copper wire of length $10 \; \text{cm}$ and diameter $1 \; \text{mm}$ is to be measured. The most suitable method from amongst the choices given ...
Lakshman Bhaiya
2.5k
points
asked
Mar 20, 2022
Measurements
gatein-2022
measurements
electrical-circuits-and-machines
+
–
0
0 votes
0
0 answers
GATE IN 2022 | Question: 11
The logic block shown has an output $F$ given by ________$A + B$$A \cdot \overline{B}$$A + \overline{B}$$\overline{B}$
Lakshman Bhaiya
2.5k
points
asked
Mar 20, 2022
Digital Electronics
gatein-2022
digital-electronics
logic-gates
+
–
0
0 votes
0
0 answers
GATE IN 2022 | Question: 12
In which of the following bridge(s) is the balancing condition frequency-independent?Maxwell bridgeWien bridgeSchering bridgeWheatstone bridge
Lakshman Bhaiya
2.5k
points
asked
Mar 20, 2022
Measurements
gatein-2022
multiple-selects
measurements
+
–
3
3 votes
1
1 answer
GATE IN 2022 | Question: 13
The output $\text{F}$ of the digital circuit shown can be written in the form(s) __________$\overline{A \cdot B}$$\overline{A} + \overline{B}$$\overline{A+B}$$\overline{A...
Lakshman Bhaiya
2.5k
points
asked
Mar 20, 2022
Digital Electronics
gatein-2022
multiple-selects
multiplexers
digital-electronics
+
–
1
1 vote
0
0 answers
GATE IN 2022 | Question: 14
Given $\text{M} = \begin{bmatrix} 2 & 3 & 7 \\ 6 & 4 & 7 \\ 4 & 6 & 14 \end{bmatrix},$ Which of the following statement(s) is/are correct?The rank of $\text{M}$ is $2$The...
Lakshman Bhaiya
2.5k
points
asked
Mar 20, 2022
Linear Algebra
gatein-2022
multiple-selects
linear-algebra
matrix-algebra
determinant
+
–
0
0 votes
0
0 answers
GATE IN 2022 | Question: 15
An analog-to-digital converter with resolution $0.01 \; \text{V}$ converts analog signals between $0 \; \text{V}$ to $+10 \; \text{V}$ to an unsigned binary output. The m...
Lakshman Bhaiya
2.5k
points
asked
Mar 20, 2022
Digital Electronics
gatein-2022
numerical-answers
digital-electronics
+
–
0
0 votes
0
0 answers
GATE IN 2022 | Question: 16
Consider $24$ voice signals being transmitted without latency using time-division multiplexing. If each signal is sampled at $12 \; \text{kHz}$ and represented by an $8$-...
Lakshman Bhaiya
2.5k
points
asked
Mar 20, 2022
Digital Electronics
gatein-2022
numerical-answers
communication-and-optical-instrumentation
+
–
0
0 votes
0
0 answers
GATE IN 2022 | Question: 17
A photodiode is made of a semiconductor with a bandgap of $1.42 \; \text{eV}.$ Given that Plank’s constant is $6.626 \times 10^{-34} \; \text{Js,}$ the speed of light in ...
Lakshman Bhaiya
2.5k
points
asked
Mar 20, 2022
Sensors and Industrial Instrumentation
gatein-2022
numerical-answers
communication-and-optical-instrumentation
+
–
0
0 votes
0
0 answers
GATE IN 2022 | Question: 18
The global minimum of $x^{3} e^{-|x|}$ for $x \in (-\infty, \infty)$ occurs at $x = $ _________ (round off to one decimal place)
Lakshman Bhaiya
2.5k
points
asked
Mar 20, 2022
Calculus
gatein-2022
numerical-answers
calculus
+
–
0
0 votes
0
0 answers
GATE IN 2022 | Question: 19
A $\text{440 V, 8 kW, 4-pole, 50 Hz,}$ star-connected induction motor has a full load slip of $0.04.$ The rotor speed (in rpm) at full load is ________ (round off to one ...
Lakshman Bhaiya
2.5k
points
asked
Mar 20, 2022
Electrical Circuits and Machines
gatein-2022
numerical-answers
electrical-circuits-and-machines
+
–
0
0 votes
0
0 answers
GATE IN 2022 | Question: 20
The transfer function of a system is:$$\frac{(s+1)(s+3)}{(s+5)(s+7)(s+9)}$$In the state-space representation of the system, the minimum number of state variables (in inte...
Lakshman Bhaiya
2.5k
points
asked
Mar 20, 2022
Control Systems
gatein-2022
numerical-answers
control-systems
+
–
0
0 votes
0
0 answers
GATE IN 2022 | Question: 21
A Zener diode is used as a $4 \; \text{V}$ voltage regulator in the circuit shown. Given that the diode requires a minimum current of $4 \; \text{mA}$ for voltage regulat...
Lakshman Bhaiya
2.5k
points
asked
Mar 20, 2022
Analog Electronics
gatein-2022
numerical-answers
analog-electronics
+
–
0
0 votes
0
0 answers
GATE IN 2022 | Question: 22
A bag contains six red balls and four blue balls. If three balls are drawn in succession without replacement, the probability that the second and third balls drawn are re...
Lakshman Bhaiya
2.5k
points
asked
Mar 20, 2022
Probability and Statistics
gatein-2022
numerical-answers
probability
+
–
0
0 votes
0
0 answers
GATE IN 2022 | Question: 23
In the bandpass filter circuit shown, $R_{0} = 50\; \Omega, L_{0} = 1 \; \text{mH,} \; C_{0} = 10 \; \text{nF.}$ The $\text{Q}$ factor of the filter is _________ (round o...
Lakshman Bhaiya
2.5k
points
asked
Mar 20, 2022
Analog Electronics
gatein-2022
numerical-answers
analog-electronics
+
–
0
0 votes
0
0 answers
GATE IN 2022 | Question: 24
The Newton-Raphson method is applied to determine the solution of $f(x) = 0$ where $f(x) = x – \cos (x).$ If the initial guess of the solution is $x_{0} = 0,$ the value o...
Lakshman Bhaiya
2.5k
points
asked
Mar 20, 2022
Numerical Methods
gatein-2022
numerical-answers
numerical-methods
+
–
0
0 votes
0
0 answers
GATE IN 2022 | Question: 25
An $\text{OPAMP}$ has a gain of $10^{4},$ an input impedance of $10 \; \text{M} \Omega$ and an output impedance of $100 \; \Omega.$ The $\text{OPAMP}$ is used in unity-g...
Lakshman Bhaiya
2.5k
points
asked
Mar 20, 2022
Analog Electronics
gatein-2022
numerical-answers
analog-electronics
+
–
0
0 votes
0
0 answers
GATE IN 2022 | Question: 26
A signal $V_{in} (t)$ shown is applied from $t = 0 \; \text{ms}$ to $t = 6 \; \text{ms}$ to the circuit shown. Given the initial voltage across the capacitor is $0.3 \; \...
Lakshman Bhaiya
2.5k
points
asked
Mar 20, 2022
Analog Electronics
gatein-2022
analog-electronics
numerical-answers
+
–
0
0 votes
0
0 answers
GATE IN 2022 | Question: 27
The signal flow graph of a system is shown. The expression for $Y(s)/X(s)$ is ___________ $\frac{2G_{1}(s) G_{2}(s) + 2G_{1}(s) G_{3}(s)} {1 + G_{2}(s) + G_{3}(s)}$$2 + G...
Lakshman Bhaiya
2.5k
points
asked
Mar 20, 2022
Control Systems
gatein-2022
control-systems
signals-and-systems
+
–
0
0 votes
0
0 answers
GATE IN 2022 | Question: 28
Consider the transfer function$$H_{c}(S) = \frac{1}{(s+1)(s+3)}$$Bilinear transformation with a sampling period of $0.1 \; \text{s}$ is employed to obtain the discrete-ti...
Lakshman Bhaiya
2.5k
points
asked
Mar 20, 2022
Signals and Systems
gatein-2022
control-systems
signals-and-systems
+
–
0
0 votes
0
0 answers
GATE IN 2022 | Question: 29
A car is moving collinearly with a laser beam emitted by a transceiver. A laser pulse emitted at $t=0 \; \text{s}$ is received back by the transceiver $100 \; \text{ns}$ ...
Lakshman Bhaiya
2.5k
points
asked
Mar 20, 2022
Measurements
gatein-2022
quantitative-aptitude
signals-and-systems
+
–
0
0 votes
0
0 answers
GATE IN 2022 | Question: 30
The signal $x(t) = (t-1)^{2}u(t-1),$ where $u(t)$ is the unit-step function, has the Laplace transform $X(s).$ The value of $X(1)$ is ________$\frac{1}{e}$$\frac{2}{e}$$2...
Lakshman Bhaiya
2.5k
points
asked
Mar 20, 2022
Signals and Systems
gatein-2022
signals-and-systems
laplace-transform
numerical-answers
+
–
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