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GATE 2024 Electrical | GA Question: 1
If ' $\rightarrow$ ' denotes increasing order of intensity, then the meaning of the words [talk $\rightarrow$ shout $\rightarrow$ scream] is analogous to [please $\rightarrow$ __________ $\rightarrow$ pander]. Which one of the given options is appropriate to fill the blank? flatter flutter fritter frizzle
If ' $\rightarrow$ ' denotes increasing order of intensity, then the meaning of the words [talk $\rightarrow$ shout $\rightarrow$ scream] is analogous to [...
Arjun
15.9k
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Arjun
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Feb 16
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GATE Electrical 2017 Set 2 | Question: 1
An urn contains $5$ red balls and $5$ black balls. In the first draw, one ball is picked at random and discarded without noticing its colour. The probability to get a Red ball in the second draw is $\frac{1}{2} \\$ $\frac{4}{9} \\$ $\frac{5}{9} \\$ $\frac{6}{9} $
An urn contains $5$ red balls and $5$ black balls. In the first draw, one ball is picked at random and discarded without noticing its colour. The probability to get a Red...
Arjun
15.9k
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Arjun
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Feb 26, 2017
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GATE Electrical 2020 | Question: 20
A double pulse measurement for an inductively loaded circuit controlled by the $\text{IGBT}$ switch is carried out to evaluate the reverse recovery characteristics of the diode, $\text{D}$, represented approximately as a piecewise linear plot of current vs time ... $4$) at which the $\text{IGBT}$ experiences the highest current stress is _________.
A double pulse measurement for an inductively loaded circuit controlled by the $\text{IGBT}$ switch is carried out to evaluate the reverse recovery characteristics of the...
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Feb 28, 2020
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GATE Electrical 2024 | Question: 2
The number of junctions in the circuit is $6$ $7$ $8$ $9$
The number of junctions in the circuit is$6$$7$$8$$9$
Arjun
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Feb 16
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GATE 2024 Electrical | GA Question: 7
In the following figure, \[ \begin{array}{c} \mathrm{CD}=5 \mathrm{~cm}, \mathrm{BE}=10 \mathrm{~cm}, \mathrm{AE}=12 \mathrm{~cm}, \\ \angle \mathrm{DAB}=\angle \mathrm{DCB} \text {, and } \angle \mathrm{DAE}=\angle \mathrm{DBC}=90^{\circ} \end ... } \] Points $\text{AFCD}$ create a rhombus. The length of $\mathrm{BF}$ (in $\mathrm{cm}$ ) is $3$ $2$ $4$ $6$
In the following figure,\[\begin{array}{c}\mathrm{CD}=5 \mathrm{~cm}, \mathrm{BE}=10 \mathrm{~cm}, \mathrm{AE}=12 \mathrm{~cm}, \\\angle \mathrm{DAB}=\angle \...
Arjun
15.9k
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Arjun
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Feb 16
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GATE Electrical 2024 | Question: 3
All the elements in the circuit are ideal. The power delivered by the $10 \mathrm{~V}$ source in watts is $0$ $50$ $100$ dependent on the value of $\alpha$
All the elements in the circuit are ideal. The power delivered by the $10 \mathrm{~V}$ source in watts is$0$$50$$100$dependent on the value of $\alpha$
Arjun
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Arjun
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Feb 16
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GATE Electrical 2024 | Question: 36
For a two-phase network, the phase voltages $V_{p}$ and $V_{q}$ are to be expressed in terms of sequence voltages $V_{\alpha}$ and $V_{\beta}$ ... $\left[\begin{array}{cc}-1 & 1 \\ 1 & 1\end{array}\right]$
For a two-phase network, the phase voltages $V_{p}$ and $V_{q}$ are to be expressed in terms of sequence voltages $V_{\alpha}$ and $V_{\beta}$ as $\left[\begi...
Arjun
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Arjun
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Feb 16
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GATE 2024 Electrical | GA Question: 2
$\text{P}$ and $\text{Q}$ have been allotted a hostel room with two beds, a study table, and an almirah. $\mathrm{P}$ is an avid bird-watcher and wants to sit at the table and watch birds outside the window. $\text{Q}$ does not mind that as long as his bed is close to the ceiling fan. Which one of the following arrangements suits them the most?
$\text{P}$ and $\text{Q}$ have been allotted a hostel room with two beds, a study table, and an almirah. $\mathrm{P}$ is an avid bird-watcher and wants to ...
Arjun
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Arjun
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Feb 16
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GATE Electrical 2024 | Question: 27
The input $x(t)$ and the output $y(t)$ of a system are related as \[ y(t)=e^{-t} \int_{-\infty}^{t} e^{\tau} x(\tau) d \tau, \quad-\infty < t < \infty. \] The system is nonlinear. linear and time-invariant. linear but not time-invariant. noncausal.
The input $x(t)$ and the output $y(t)$ of a system are related as\[y(t)=e^{-t} \int_{-\infty}^{t} e^{\tau} x(\tau) d \tau, \quad-\infty < t < \infty. \]The syste...
Arjun
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Arjun
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Feb 16
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GATE Electrical 2024 | Question: 1
Which one of the following matrices has an inverse? $\left[\begin{array}{ccc}1 & 4 & 8 \\ 0 & 4 & 2 \\ 0.5 & 2 & 4\end{array}\right]$ ... $\left[\begin{array}{ccc}1 & 4 & 8 \\ 0 & 4 & 2 \\ 3 & 12 & 24\end{array}\right]$
Which one of the following matrices has an inverse?$\left[\begin{array}{ccc}1 & 4 & 8 \\ 0 & 4 & 2 \\ 0.5 & 2 & 4\end{array}\right]$$\left[\begin{array}{lll}1...
Arjun
15.9k
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Arjun
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Feb 16
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GATE Electrical 2024 | Question: 8
Which one of the following options represents possible voltage polarities in a single phase two winding transformer? Here, $V_{p}$ is the applied primary voltage, $E_{p}$ is the induced primary voltage, $V_{s}$ is the open circuit secondary voltage, and $E_{s}$ is the induced secondary voltage.
Which one of the following options represents possible voltage polarities in a single phase two winding transformer? Here, $V_{p}$ is the applied primary voltage...
Arjun
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Arjun
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Feb 16
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GATE 2024 Electrical | GA Question: 6
In the given text, the blanks are numbered $\text{(i)-(iv)}$. Select the best match for all the blanks. Following a row $\text{(i)}$ the shopkeeper $\text{(ii)}$_the price of a frying pan, the cook stood $\text{(iii)}$ a row to withdraw cash $\text{(iv)}$ ... $\text{(iv)}$ at $\text{(i)}$ over $\text{(ii)}$ with $\text{(iii)}$ over $\text{(iv)}$ at
In the given text, the blanks are numbered $\text{(i)-(iv)}$. Select the best match for all the blanks.Following a row $\text{(i)}$ the shopkeeper $\text{...
Arjun
15.9k
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Arjun
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Feb 16
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GATE Electrical 2024 | Question: 20
Which of the following complex functions is/are analytic on the complex plane? $f(z)=j \operatorname{Re}(z)$ $f(z)=\operatorname{Im}(z)$ $f(z)=e^{|z|}$ $f(z)=z^{2}-z$
Which of the following complex functions is/are analytic on the complex plane?$f(z)=j \operatorname{Re}(z)$$f(z)=\operatorname{Im}(z)$$f(z)=e^{|z|}$$f(z)=z^{2...
Arjun
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Arjun
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Feb 16
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GATE Electrical 2024 | Question: 6
If $u(t)$ is the unit step function, then the region of convergence $\text{(ROC)}$ of the Laplace transform of the signal \[ x(t)=e^{t^{2}}[u(t-1)-u(t-10)] \] is $-\infty<\operatorname{Re}(s)<\infty$ $\operatorname{Re}(s) \geq 10$ $\operatorname{Re}(s) \leq 1$ $1 \leq \operatorname{Re}(s) \leq 10$
If $u(t)$ is the unit step function, then the region of convergence $\text{(ROC)}$ of the Laplace transform of the signal\[x(t)=e^{t^{2}}[u(t-1)-u(t-10)]\]...
Arjun
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Arjun
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Feb 16
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GATE 2024 Electrical | GA Question: 10
A surveyor has to measure the horizontal distance from her position to a distant reference point $\text{C}$. Using her position as the center, a $200 \mathrm{~m}$ horizontal line segment is drawn with the two endpoints $\text{A}$ ... $\mathrm{m}$ ) of the reference point $\mathrm{C}$ from her position is nearest to $2603$ $2606$ $2306$ $2063$
A surveyor has to measure the horizontal distance from her position to a distant reference point $\text{C}$. Using her position as the center, a $200 \mathrm{...
Arjun
15.9k
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Arjun
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Feb 16
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GATE 2024 Electrical | Question: 4
A shopkeeper buys shirts from a producer and sells them at $20 \%$ profit. A customer has to pay ₹ $3,186.00$ including $18 \%$ taxes, per shirt. At what price did the shopkeeper buy each shirt from the producer? ₹ $2,500.00$ ₹ $1,975.40$ ₹ $2,250.00$ ₹ $2,548.80$
A shopkeeper buys shirts from a producer and sells them at $20 \%$ profit. A customer has to pay ₹ $3,186.00$ including $18 \%$ taxes, per shirt. At what pr...
Arjun
15.9k
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Arjun
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Feb 16
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GATE Electrical 2020 | Question: 3
Which of the following statements is true about the two sided Laplace transform? It exists for every signal that may or may not have a Fourier transform. It has no poles for any bounded signal that is non-zero only inside a finite time ... a signal can be expressed as a weighted sum of shifted one sided exponentials, then its Laplace Transform will have no poles.
Which of the following statements is true about the two sided Laplace transform?It exists for every signal that may or may not have a Fourier transform.It has no poles fo...
go_editor
1.9k
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go_editor
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Feb 28, 2020
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GATE Electrical 2024 | Question: 33
Let $f(t)$ be a real-valued function whose second derivative is positive for $-\infty < t < \infty.$ Which of the following statements is/are always true? $f(t)$ has at least one local minimum. $f(t)$ cannot have two distinct local minima. $f(t)$ has at least one local maximum. The minimum value of $f(t)$ cannot be negative.
Let $f(t)$ be a real-valued function whose second derivative is positive for $-\infty < t < \infty.$ Which of the following statements is/are always true?$f(t...
Arjun
15.9k
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Arjun
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Feb 16
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GATE Electrical 2020 | Question: 7
A three-phase cylindrical rotor synchronous generator has a synchronous reactance $X_{s}$ and a negligible armature resistance. The magnitude of per phase terminal voltage is $V_{A}$ and the magnitude of per phase induced emf is $E_{A}$. Considering the following two statements, ... is true and $Q$ is false $P$ is false and $Q$ is false $P$ is true and $Q$ is true
A three-phase cylindrical rotor synchronous generator has a synchronous reactance $X_{s}$ and a negligible armature resistance. The magnitude of per phase terminal voltag...
go_editor
1.9k
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go_editor
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Feb 28, 2020
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GATE Electrical 2024 | Question: 19
Let $\text{X}$ be a discrete random variable that is uniformly distributed over the set $\{-10,-9, \cdots, 0, \cdots, 9,10\}$. Which of the following random variables is/are uniformly distributed? $X^{2}$ $X^{3}$ $(X-5)^{2}$ $(X+10)^{2}$
Let $\text{X}$ be a discrete random variable that is uniformly distributed over the set $\{-10,-9, \cdots, 0, \cdots, 9,10\}$. Which of the following rando...
Arjun
15.9k
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Arjun
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Feb 16
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GATE Electrical 2024 | Question: 5
Suppose signal $y(t)$ is obtained by the time-reversal of signal $x(t)$, i.e., $y(t)=x(-t),-\infty<t<\infty$. Which one of the following options is always true for the convolution of $x(t)$ and $y(t)$? It is an even signal. It is an odd signal. It is a causal signal. It is an anti-causal signal.
Suppose signal $y(t)$ is obtained by the time-reversal of signal $x(t)$, i.e., $y(t)=x(-t),-\infty<t<\infty$. Which one of the following options is always true for the co...
Arjun
15.9k
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Arjun
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Feb 16
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GATE 2024 Electrical | GA Question: 3
The decimal number system uses the characters $0,1,2, \ldots, 8,9$, and the octal number system uses the characters $0,1,2, \ldots, 6,7$. For example, the decimal number $12\left(=1 \times 10^{1}+2 \times 10^{0}\right)$ is expressed ... $108$ in the octal number system is $168$ $108$ $150$ $154$
The decimal number system uses the characters $0,1,2, \ldots, 8,9$, and the octal number system uses the characters $0,1,2, \ldots, 6,7$.For example, the deci...
Arjun
15.9k
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Arjun
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Feb 16
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GATE Electrical 2024 | Question: 15
In the circuit, the present value of $Z$ is $1$. Neglecting the delay in the combinatorial circuit, the values of $S$ and $Z$, respectively, after the application of the clock will be $S=0, Z=0$ $S=0, Z=1$ $S=1, Z=0$ $S=1, Z=1$
In the circuit, the present value of $Z$ is $1$. Neglecting the delay in the combinatorial circuit, the values of $S$ and $Z$, respectively, after the appl...
Arjun
15.9k
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Arjun
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Feb 16
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GATE 2024 Electrical | GA Question: 9
The assembly shown below has three teethed circular objects (Pinions) and two teethed flat objects (Racks), which are perfectly mating with each other. Pinions can only rotate clockwise or anti-clockwise staying at its own center. Racks ... . Object $\mathrm{R}$ rotates in the anticlockwise direction. Object $\mathrm{Q}$ rotates in the clockwise direction.
The assembly shown below has three teethed circular objects (Pinions) and two teethed flat objects (Racks), which are perfectly mating with each other. Pinion...
Arjun
15.9k
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Arjun
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Feb 16
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GATE 2024 Electrical | GA Question: 8
The chart below shows the data of the number of cars bought by Millennials and Gen $\text{X}$ people in a country from the year $2010$ to $2020$ as well as the yearly fuel consumption of the country (in Million liters). Considering the data ... buyers from $2015$ to $2020$ is more than the increase in the number of Millennial car buyers from $2010$ to $2015$.
The chart below shows the data of the number of cars bought by Millennials and Gen $\text{X}$ people in a country from the year $2010$ to $2020$ as well as the yearly ...
Arjun
15.9k
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Arjun
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Feb 16
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GATE Electrical 2023 | Question: 6
A $10-\text { pole, } 50 \mathrm{~Hz}, 240 \mathrm{~V},$ single phase induction motor runs at $540 ~\mathrm{RPM}$ while driving rated load. The frequency of induced rotor currents due to backward field is $100 \mathrm{~Hz}$ $95 \mathrm{~Hz}$ $10 \mathrm{~Hz}$ $5 \mathrm{~Hz}$
A $10-\text { pole, } 50 \mathrm{~Hz}, 240 \mathrm{~V},$ single phase induction motor runs at $540 ~\mathrm{RPM}$ while driving rated load. The frequency of induced rotor...
admin
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admin
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May 20, 2023
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GATE Electrical 2024 | Question: 4
The circuit shown in the figure with the switch $\text{S}$ open, is in steady state. After the switch $\text{S}$ is closed, the time constant of the circuit in seconds is $1.25$ $0$ $1$ $1.5$
The circuit shown in the figure with the switch $\text{S}$ open, is in steady state. After the switch $\text{S}$ is closed, the time constant of the circuit in seconds...
Arjun
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Arjun
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Feb 16
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GATE Electrical 2022 | Question: 14
The type of single-phase induction motor, expected to have the maximum power factor during steady state running condition, is split phase (resistance start). shaded pole. capacitor start. capacitor start, capacitor run.
The type of single-phase induction motor, expected to have the maximum power factor during steady state running condition, issplit phase (resistance start).shaded pole.ca...
Arjun
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Arjun
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Feb 15, 2022
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GATE Electrical 2024 | Question: 10
For the block-diagram shown in the figure, the transfer function $\frac{C(s)}{R(s)}$ is $\frac{G(s)}{1+2 G(s)}$ $-\frac{G(s)}{1+2 G(s)}$ $\frac{G(s)}{1-2 G(s)}$ $-\frac{G(s)}{1-2 G(s)}$
For the block-diagram shown in the figure, the transfer function $\frac{C(s)}{R(s)}$ is$\frac{G(s)}{1+2 G(s)}$$-\frac{G(s)}{1+2 G(s)}$$\frac{G(s)}{1-2 G(s)}$$...
Arjun
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Arjun
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Feb 16
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GATE 2024 Electrical | GA Question: 5
If, for non-zero real variables $x, y$, and real parameter $a>1$, \[ x: y=(a+1):(a-1) \text {, } \] then, the ratio $\left(x^{2}-y^{2}\right):\left(x^{2}+y^{2}\right)$ is $2 a:\left(a^{2}+1\right)$ $a:\left(a^{2}+1\right)$ $2 a:\left(a^{2}-1\right)$ $a:\left(a^{2}-1\right)$
If, for non-zero real variables $x, y$, and real parameter $a>1$,\[x: y=(a+1):(a-1) \text {, }\]then, the ratio $\left(x^{2}-y^{2}\right):\left(x^{2}+y^{2}\right)$ ...
Arjun
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Arjun
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Feb 16
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GATE Electrical 2024 | Question: 55
A single-phase full-controlled thyristor converter bridge is used for regenerative braking of a separately excited $\text{DC}$ motor with the following specifications: Rated armature voltage $210 \mathrm{~V}$ ... the triggering angle of the converter bridge in degrees should be ____________ (rounded off to $2$ decimal places).
A single-phase full-controlled thyristor converter bridge is used for regenerative braking of a separately excited $\text{DC}$ motor with the following specifications:Rat...
Arjun
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Arjun
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Feb 16
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GATE Electrical 2024 | Question: 35
Which of the following differential equations is/are nonlinear? $t x(t)+\frac{d x(t)}{d t}=t^{2} e^{t}, \quad x(0)=0$ $\frac{1}{2} e^{t}+x(t) \frac{d x(t)}{d t}=0, \quad x(0)=0$ $x(t) \cos t-\frac{d x(t)}{d t} \sin t=1, \quad x(0)=0$ $x(t)+e^{\left(\frac{d x(t)}{d t}\right)}=1, \quad x(0)=0$
Which of the following differential equations is/are nonlinear?$t x(t)+\frac{d x(t)}{d t}=t^{2} e^{t}, \quad x(0)=0$$\frac{1}{2} e^{t}+x(t) \frac{d x(t)}{d t}=0, \quad x(...
Arjun
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Arjun
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Feb 16
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GATE Electrical 2024 | Question: 37
Which of the following options is/are correct for the Automatic Generation Control (AGC) and Automatic Voltage Regulator (AVR) installed with synchronous generators? AGC response has a local effect on frequency while AVR response ... . AGC regulates the generator's mechanical power input while AVR regulates the field current of the synchronous generator.
Which of the following options is/are correct for the Automatic Generation Control (AGC) and Automatic Voltage Regulator (AVR) installed with synchronous gene...
Arjun
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Arjun
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Feb 16
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GATE Electrical 2022 | Question: 3
The most commonly used relay, for the protection of an alternator against loss of excitation, is offset Mho relay. over current relay. differential relay. Buchholz relay.
The most commonly used relay, for the protection of an alternator against loss of excitation, isoffset Mho relay.over current relay.differential relay.Buchholz relay.
Arjun
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Arjun
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Feb 15, 2022
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GATE Electrical 2024 | Question: 17
If the following switching devices have similar power ratings, which one of them is the fastest? $\text{SCR}$ $\text{GTO}$ $\text{IGBT}$ $\text{Power MOSFET}$
If the following switching devices have similar power ratings, which one of them is the fastest?$\text{SCR}$$\text{GTO}$$\text{IGBT}$$\text{Power MOSFET}$
Arjun
15.9k
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Arjun
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Feb 16
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GATE Electrical 2024 | Question: 29
If the $Z$-transform of a finite-duration discrete-time signal $x[n]$ is $X(z)$, then the $Z$ transform of the signal $y[n]=x[2 n]$ is $Y(z)=X\left(z^{2}\right)$ ... $Y(z)=\frac{1}{2}\left[X\left(z^{2}\right)+X\left(-z^{2}\right)\right]$
If the $Z$-transform of a finite-duration discrete-time signal $x[n]$ is $X(z)$, then the $Z$ transform of the signal $y[n]=x[2 n]$ is$Y(z)=X\left(z^{2}\right)$$...
Arjun
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Arjun
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Feb 16
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GATE Electrical 2024 | Question: 9
The figure shows the single line diagram of a 4-bus power network. Branches $b_{1}$, $b_{2}, b_{3}$, and $b_{4}$ have impedances $4 z, z, 2 z$, and $4 z$ per-unit (pu), respectively, where $z=r+j x$, with $r>0$ and $x>0$. The ... $b_{1}$ $b_{2}$ $b_{3}$ $b_{4}$
The figure shows the single line diagram of a 4-bus power network. Branches $b_{1}$, $b_{2}, b_{3}$, and $b_{4}$ have impedances $4 z, z, 2 z$, and $4 z$ p...
Arjun
15.9k
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Arjun
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Feb 16
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GATE Electrical 2024 | Question: 26
Consider a vector $\bar{u}=2 \hat{x}+\hat{y}+2 \hat{z}$, where $\hat{x}, \hat{y}, \hat{z}$ represent unit vectors along the coordinate axes $x, y, z$ respectively. The directional derivative of the function $f(x, y, z)=2 \ln (x y)+\ln (y z)+3 \ln (x z)$ at the point $(x, y, z)=(1,1,1)$ in the direction of $\bar{u}$ is $0$ $\frac{7}{5 \sqrt{2}}$ $7$ $21$
Consider a vector $\bar{u}=2 \hat{x}+\hat{y}+2 \hat{z}$, where $\hat{x}, \hat{y}, \hat{z}$ represent unit vectors along the coordinate axes $x, y, z$ respecti...
Arjun
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Arjun
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Feb 16
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GATE Electrical 2024 | Question: 28
Consider the discrete-time systems $T_{1}$ and $T_{2}$ defined as follows: \[ \begin{array}{c} \left\{T_{1} x\right\}[n]=x[0]+x[1]+\cdots+x[n] \\ \left\{T_{2} x\right\}[n]=x[0]+\frac{1}{2} x[1]+\cdots+\frac{1}{2^{n}} x[n] \ ... $T_{1}$ is BIBO stable but $T_{2}$ is not BIBO stable. $T_{1}$ is not BIBO stable but $T_{2}$ is BIBO stable.
Consider the discrete-time systems $T_{1}$ and $T_{2}$ defined as follows:\[\begin{array}{c}\left\{T_{1} x\right\}[n]=x[0]+x +\cdots+x[n] \\\left\{T_{2} x\right\...
Arjun
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GATE Electrical 2024 | Question: 34
Consider the function $f(t)=(\max (0, t))^2$ for $-\infty<t<\infty$, where $\max (a, b)$ denotes the maximum of $a$ and $b$. Which of the following statements is/are true? $f(t)$ is not ... differentiable and its derivative is continuous. $f(t)$ is differentiable but its derivative is not continuous. $f(t)$ and its derivative are differentiable.
Consider the function $f(t)=(\max (0, t))^2$ for $-\infty<t<\infty$, where $\max (a, b)$ denotes the maximum of $a$ and $b$. Which of the following stateme...
Arjun
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Arjun
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