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GATE IN 2025 | Question: 11
In a single-phase AC circuit, the power consumed by load resistance $R_{\mathrm{L}}$ for an excitation $V_{\mathrm{S}}$ is measured using a wattmeter. The same wattmeter ...
Shubham Sharma 2
1.5k
points
asked
Mar 6, 2025
Measurements
gatein-2025
electrical-circuits-and-machines
measurements
+
–
0
0 votes
0
0 answers
GATE IN 2025 | Question: 12
Match the following sensors with their most suitable applications.$$\begin{array}{|l|l|l|l|} \hline & \textbf{Sensor} & & \textbf{Application} \\ \hline \text{P} & \text{...
Shubham Sharma 2
1.5k
points
asked
Mar 6, 2025
Sensors and Industrial Instrumentation
gatein-2025
sensors-and-industrial-instrumentation
+
–
0
0 votes
0
0 answers
GATE IN 2025 | Question: 13
A $3\frac{1}{ 2}$ digit digital voltmeter has a specified accuracy of $\pm(0.5 \%+1)$. If it is used to measure $10 \:\mathrm{V}$ DC voltage, the error in the measurement...
Shubham Sharma 2
1.5k
points
asked
Mar 6, 2025
Measurements
gatein-2025
measurements
digital-electronics
numerical-answers
+
–
0
0 votes
0
0 answers
GATE IN 2025 | Question: 14
The circuit shown in Figure (a) can be represented using its equivalent T-model as shown in Figure (b). The values of the inductances $L_{1}, L_{2}$, and $L_{3}$ in the e...
Shubham Sharma 2
1.5k
points
asked
Mar 6, 2025
Electrical Circuits and Machines
gatein-2025
electrical-circuits-and-machines
numerical-answers
+
–
0
0 votes
0
0 answers
GATE IN 2025 | Question: 15
Three parallel admittances $Y_{a}=-j 0.2 \mathrm{~S}, Y_{b}=0.3 \mathrm{~S}$, and $\quad Y_{c}=j 0.4 \mathrm{~S}$ connected in parallel with a voltage source $V_{s}=10 \a...
Shubham Sharma 2
1.5k
points
asked
Mar 6, 2025
Electrical Circuits and Machines
gatein-2025
electrical-circuits-and-machines
complex-number
numerical-answers
+
–
0
0 votes
0
0 answers
GATE IN 2025 | Question: 16
An oscilloscope has an input resistance of $1 \mathrm{M} \Omega$. A $10$ X passive attenuating probe is connected to it to increase the input voltage range as well as the...
Shubham Sharma 2
1.5k
points
asked
Mar 6, 2025
Measurements
gatein-2025
analog-electronics
measurements
+
–
0
0 votes
0
0 answers
GATE IN 2025 | Question: 17
For the transfer function $G(s)=1+\frac{2 s-1}{s^{3}+5 s^{2}+3 s+22}$, the number of zeros lying in the left half of the $s$-plane is$0$$1$$2$$3$
Shubham Sharma 2
1.5k
points
asked
Mar 6, 2025
Control Systems
gatein-2025
control-systems
numerical-answers
+
–
0
0 votes
0
0 answers
GATE IN 2025 | Question: 18
Consider the control system block diagram given in Figure (a). The loop transfer function $G(s) \: H(s)$ does not have any pole on the $j \omega$-axis. The counterclockwi...
Shubham Sharma 2
1.5k
points
asked
Mar 6, 2025
Control Systems
gatein-2025
control-systems
+
–
0
0 votes
1
1 answer
GATE IN 2025 | Question: 19
A Boolean function $X$ is given as $X=\bar{A} \bar{B}+\bar{A} \bar{C}$. The reduced form of $\bar{X}$ is$\bar{A}+\bar{B}+\bar{C}$$A+B C$$\bar{A}+\bar{B}+C$$B+A C$
Shubham Sharma 2
1.5k
points
asked
Mar 6, 2025
Digital Electronics
gatein-2025
digital-electronics
boolean-algebra
boolean-functions
+
–
0
0 votes
0
0 answers
GATE IN 2025 | Question: 20
A $60 \: \mathrm{V}$ DC source with an internal resistance $R_{\text{i n t}}=0.5 \: \Omega$ is connected through a switch to a pair of infinitely long rails separated by ...
Shubham Sharma 2
1.5k
points
asked
Mar 6, 2025
Electricity and Magnetism
gatein-2025
electricity-and-magnetism
numerical-answers
+
–
0
0 votes
0
0 answers
GATE IN 2025 | Question: 21
The circuits mentioned in the following options are realized using ideal opamp. Among these, the circuit(s) performing non-linear operation on the input signal is/areInst...
Shubham Sharma 2
1.5k
points
asked
Mar 6, 2025
Analog Electronics
gatein-2025
analog-electronics
+
–
0
0 votes
0
0 answers
GATE IN 2025 | Question: 22
If one of the eigenvectors of the matrix $A=\left[\begin{array}{cc}-1 & -1 \\ x & -4\end{array}\right]$ is along the direction of $\left[\begin{array}{c}\alpha \\ 2 \alph...
Shubham Sharma 2
1.5k
points
asked
Mar 6, 2025
Linear Algebra
gatein-2025
numerical-answers
linear-algebra
eigen-vectors
+
–
0
0 votes
0
0 answers
GATE IN 2025 | Question: 23
Consider the function $f(z)=\frac{2 z+1}{z^{2}-z}$, where $z$ is a complex variable. The sum of the residues at singular points of $f(z)$ is ______________ (in integer).
Shubham Sharma 2
1.5k
points
asked
Mar 6, 2025
Analysis of complex variables
gatein-2025
numerical-answers
analysis-of-complex-variables
+
–
0
0 votes
0
0 answers
GATE IN 2025 | Question: 24
A dual-slope ADC has a fixed integration time of $100 \: \mathrm{ms}$. The reference voltage of the ADC is $-5 \: \mathrm{V}$. The time taken by the ADC to measure an inp...
Shubham Sharma 2
1.5k
points
asked
Mar 6, 2025
Digital Electronics
gatein-2025
numerical-answers
measurements
analog-electronics
+
–
0
0 votes
0
0 answers
GATE IN 2025 | Question: 25
In the circuit shown, assume that the BJT in the circuit has very high $\beta$ and $V_{B E}=0.7 \mathrm{~V}$, and the Zener diode has $V_{Z}=4.7 \mathrm{~V}$. The current...
Shubham Sharma 2
1.5k
points
asked
Mar 6, 2025
Analog Electronics
gatein-2025
numerical-answers
analog-electronics
+
–
0
0 votes
0
0 answers
GATE IN 2025 | Question: 26
The value of the surface integral $\iint_{S}(2 x+z) \mathrm{d} y \mathrm{~d} z+(2 x+z) \mathrm{d} x \mathrm{~d} z+(2 z+y) \mathrm{d} x \mathrm{~d} y$ over the sphere $S: ...
Shubham Sharma 2
1.5k
points
asked
Mar 6, 2025
Calculus
gatein-2025
calculus
vector-calculus
numerical-answers
+
–
0
0 votes
0
0 answers
GATE IN 2025 | Question: 27
Newton-Raphson method is used to compute the inverse of the number $1.6$. Among the following options, the initial guess of the solution that results in non-convergence o...
Shubham Sharma 2
1.5k
points
asked
Mar 6, 2025
Numerical Methods
gatein-2025
numerical-methods
numerical-answers
+
–
0
0 votes
0
0 answers
GATE IN 2025 | Question: 28
The value of the integral $\int_{-\pi}^{\pi}\left(\cos ^{6} x+\cos ^{4} x\right) \mathrm{d} x$ is$\frac{\pi}{2}$$\frac{5 \pi}{8}$$\frac{11 \pi}{8}$$\frac{9 \pi}{8}$
Shubham Sharma 2
1.5k
points
asked
Mar 6, 2025
Calculus
gatein-2025
calculus
numerical-answers
+
–
0
0 votes
0
0 answers
GATE IN 2025 | Question: 29
Let $y[n]=\frac{1}{\alpha} y[n-1]+x[n]$, where $\alpha>1$ and real, represent a difference equation of a causal discrete-time linear time invariant system. The system is ...
Shubham Sharma 2
1.5k
points
asked
Mar 6, 2025
Signals and Systems
gatein-2025
signals-and-systems
numerical-answers
+
–
0
0 votes
1
1 answer
GATE IN 2025 | Question: 30
The clock frequency of the digital circuit shown in the figure is $12 \: \mathrm{MHz}$. The frequencies of the output $(\mathrm{F})$ corresponding to Control $=0$ and Con...
Shubham Sharma 2
1.5k
points
asked
Mar 6, 2025
Digital Electronics
gatein-2025
digital-electronics
frequency
logic-gates
+
–
0
0 votes
0
0 answers
GATE IN 2025 | Question: 31
A chopper amplifier shown in the figure is designed to process a biomedical signal $v_{\text {in }}(t)$ to generate conditioned output $v_{\text {out }}(t)$. The signals ...
Shubham Sharma 2
1.5k
points
asked
Mar 6, 2025
Analog Electronics
gatein-2025
analog-electronics
signals-and-systems
+
–
0
0 votes
0
0 answers
GATE IN 2025 | Question: 32
An $8$-bit microprocessor has $16$ -bit address bus $\left(\mathrm{A}_{15}-\mathrm{A}_{0}\right)$ where $\mathrm{A}_{0}$ is the LSB. As shown in Figure (a), it has a pre-...
Shubham Sharma 2
1.5k
points
asked
Mar 6, 2025
Digital Electronics
gatein-2025
microprocessor-8085
digital-electronics
numerical-answers
+
–
0
0 votes
0
0 answers
GATE IN 2025 | Question: 33
A $3$-bit DAC is implemented using ideal opamp and switches as shown in the figure. Each of the switches gets closed when its corresponding digital input is at logic $1$....
Shubham Sharma 2
1.5k
points
asked
Mar 6, 2025
Digital Electronics
gatein-2025
analog-electronics
numerical-answers
+
–
0
0 votes
0
0 answers
GATE IN 2025 | Question: 34
Power consumed by a three-phase balanced load is measured using two-wattmeter method. The per-phase average power drawn by the load is $30 \: \mathrm{kW}$ at $\frac{\sqr...
Shubham Sharma 2
1.5k
points
asked
Mar 6, 2025
Electrical Circuits and Machines
gatein-2025
electrical-circuits-and-machines
numerical-answers
+
–
0
0 votes
0
0 answers
GATE IN 2025 | Question: 35
The bridge circuit, shown in Figure (a), can be equivalently represented using the circuit shown in Figure (b). The values of $R_{1}, R_{2}$, and $V_{\mathrm{C}}$ in the ...
Shubham Sharma 2
1.5k
points
asked
Mar 6, 2025
Electrical Circuits and Machines
gatein-2025
electrical-circuits-and-machines
+
–
0
0 votes
0
0 answers
GATE IN 2025 | Question: 36
A $2$-pole, $50 \mathrm{~Hz}, 3$-phase induction motor supplies power to a certain load at $2970 \: \mathrm{rpm}$ . The torque-speed curve of this machine follows a linea...
Shubham Sharma 2
1.5k
points
asked
Mar 6, 2025
Electrical Circuits and Machines
gatein-2025
electrical-circuits-and-machines
numerical-answers
+
–
0
0 votes
0
0 answers
GATE IN 2025 | Question: 37
The figure shows a closed-loop system with a plant $G(s)=\frac{1}{s^{2}}$ and a lead compensator $C(s)$. The compensator is designed to place the dominant closed-loop pol...
Shubham Sharma 2
1.5k
points
asked
Mar 6, 2025
Control Systems
gatein-2025
control-systems
+
–
0
0 votes
0
0 answers
GATE IN 2025 | Question: 38
Let $f(t)$ and $g(t)$ represent continuous-time real-valued signals. If $h(t)$ denotes cross-correlation between $f(t)$ and $g(-t)$, its continuous-time Fourier transform...
Shubham Sharma 2
1.5k
points
asked
Mar 6, 2025
Signals and Systems
gatein-2025
signals-and-systems
communication-and-optical-instrumentation
+
–
0
0 votes
0
0 answers
GATE IN 2025 | Question: 39
Choose the correct statement(s) from the following options, regarding Cauchy's theorem on complex integration $\oint_{C} f(z) \mathrm{d} z$ where $C$ is a simple closed p...
Shubham Sharma 2
1.5k
points
asked
Mar 6, 2025
Analysis of complex variables
gatein-2025
analysis-of-complex-variables
complex-function
complex-number
+
–
0
0 votes
0
0 answers
GATE IN 2025 | Question: 40
The plant in the feedback control system shown in the figure is $P(s)=\frac{a}{s^{2}-b^{2}}$, where $a>0$ and $b>0$. The type(s) of controller $C(s)$ that CANNOT stabiliz...
Shubham Sharma 2
1.5k
points
asked
Mar 6, 2025
Control Systems
gatein-2025
control-systems
+
–
0
0 votes
0
0 answers
GATE IN 2025 | Question: 41
Choose the eigenfunction(s) of stable linear time-invariant continuous-time systems from the following options.$e^{j \frac{2 \pi}{3} t}$$\cos \left(\frac{2 \pi}{3} t\righ...
Shubham Sharma 2
1.5k
points
asked
Mar 6, 2025
Signals and Systems
gatein-2025
signals-and-systems
+
–
0
0 votes
0
0 answers
GATE IN 2025 | Question: 42
The probability of a student missing a class is $0.1$. In a total number of $10$ classes, the probability that the student will not miss more than one class is __________...
Shubham Sharma 2
1.5k
points
asked
Mar 6, 2025
Probability and Statistics
gatein-2025
numerical-answers
probability-and-statistics
+
–
0
0 votes
0
0 answers
GATE IN 2025 | Question: 43
A metallic strain-gauge $(\mathrm{SG})$ with resistance $R_{\mathrm{SG}}$ is connected as shown in the figure, where $R_{\mathrm{L} 1}, R_{\mathrm{L} 2}, R_{\mathrm{L} 3}...
Shubham Sharma 2
1.5k
points
asked
Mar 6, 2025
Sensors and Industrial Instrumentation
gatein-2025
numerical-answers
measurements
sensors-and-industrial-instrumentation
electrical-circuits-and-machines
+
–
0
0 votes
0
0 answers
GATE IN 2025 | Question: 44
Let $X\left(e^{j \omega}\right)$ represent the discrete time Fourier transform of a $4$-length sequence $x[n]$, where $x[0]=1, x =2, x =2$, and $x[3]=4 . X\left(e^{j \ome...
Shubham Sharma 2
1.5k
points
asked
Mar 6, 2025
Signals and Systems
gatein-2025
numerical-answers
signals-and-systems
digital-electronics
+
–
0
0 votes
0
0 answers
GATE IN 2025 | Question: 45
A schematic of a Michelson interferometer, used for the measurement of refractive index of gas, is shown in the figure. The transparent chamber is filled with a gas of re...
Shubham Sharma 2
1.5k
points
asked
Mar 6, 2025
Communication and Optical Instrumentation
gatein-2025
numerical-answers
communication-and-optical-instrumentation
physics
+
–
1
1 vote
0
0 answers
GATE IN 2025 | Question: 46
Consider an AC bridge shown in the figure with $\mathrm{R}=300 \: \Omega, \mathrm{R} 1=1000 \: \Omega$, $\mathrm{R} 2=500 \: \Omega, \mathrm{~L}=30 \mathrm{mH}$, and a de...
Shubham Sharma 2
1.5k
points
asked
Mar 6, 2025
Measurements
gatein-2025
numerical-answers
analog-electronics
electrical-circuits-and-machines
+
–
0
0 votes
0
0 answers
GATE IN 2025 | Question: 47
An air filled parallel plate electrostatic actuator is shown in the figure. The area of each capacitor plate is $100 \: \mu \mathrm{m} \times 100 \: \mu \mathrm{m}$. The ...
Shubham Sharma 2
1.5k
points
asked
Mar 6, 2025
Sensors and Industrial Instrumentation
gatein-2025
numerical-answers
electrical-circuits-and-machines
analog-electronics
+
–
0
0 votes
0
0 answers
GATE IN 2025 | Question: 48
The resistance of a thermistor is measured to be $2.25 \: \mathrm{k} \Omega$ at $30^{\circ} \mathrm{C}$ and $1.17 \: \mathrm{k} \Omega$ at $60^{\circ} \mathrm{C}$. Its ma...
Shubham Sharma 2
1.5k
points
asked
Mar 6, 2025
Sensors and Industrial Instrumentation
gatein-2025
numerical-answers
measurements
sensors-and-industrial-instrumentation
analog-electronics
+
–
0
0 votes
0
0 answers
GATE IN 2025 | Question: 49
A feedback control system is shown in the figure.The maximum allowable value of $n$ such that the output $y(t)$, due to any step disturbance signal $d(t)$, becomes zero a...
Shubham Sharma 2
1.5k
points
asked
Mar 6, 2025
Control Systems
gatein-2025
numerical-answers
control-systems
+
–
0
0 votes
0
0 answers
GATE IN 2025 | Question: 50
The circuit given in the figure is driven by a voltage source $V_{S}=25 \sqrt{2} \angle 30^{\circ} \: \mathrm{V}$. The system is operating at a frequency of $50 \: \mathr...
Shubham Sharma 2
1.5k
points
asked
Mar 6, 2025
Electrical Circuits and Machines
gatein-2025
numerical-answers
electrical-circuits-and-machines
+
–
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