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81
GATE IN 2024 | Question: 52
A three-phase squirrel-cage induction motor has a starting torque of $100 \%$ of the full load torque and a maximum torque of $300 \%$ of the full load torque. Neglecting the stator impedance, the slip at the maximum torque is $\%$ (rounded off to two decimal places).
A three-phase squirrel-cage induction motor has a starting torque of $100 \%$ of the full load torque and a maximum torque of $300 \%$ of the full load torque. Neglecting...
admin
2.7k
points
admin
asked
Feb 16
Others
gatein-2024
numerical-answers
+
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0
votes
0
answers
82
GATE IN 2024 | GA Question: 4
If the sum of the first 20 consecutive positive odd numbers is divided by $20^{2}$, the result is $1$ $20$ $2$ $1 / 2$
If the sum of the first 20 consecutive positive odd numbers is divided by $20^{2}$, the result is$1$$20$$2$$1 / 2$
Arjun
2.9k
points
Arjun
asked
Feb 16
Others
gatein-2024
+
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0
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0
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83
GATE IN 2024 | Question: 37
In the figure shown, assume - $\alpha$ is the phase angle between the load current and the load voltage - $\quad \beta$ is the phase angle by which pressure coil current lags the pressure coil voltage of the wattmeter - $\quad \gamma$ ... $\alpha=\gamma \pm \delta \pm \theta+\beta$ $\alpha=\gamma \pm \delta \pm \theta-\beta$
In the figure shown, assume- $\alpha$ is the phase angle between the load current and the load voltage- $\quad \beta$ is the phase angle by which pressure coil current la...
admin
2.7k
points
admin
asked
Feb 16
Others
gatein-2024
+
–
0
votes
0
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84
GATE IN 2023 | Question: 24
The full-scale range of the wattmeter shown in the circuit is $100 \mathrm{~W}$. The turns ratio of the individual transformers are indicated in the figure. The RMS value of the ac source voltage $\mathrm{V}_{\mathrm{s}}$ is $200 \mathrm{~V}$. The wattmeter reading will be____________$\mathrm{W}$ (rounded off to the nearest integer).
The full-scale range of the wattmeter shown in the circuit is $100 \mathrm{~W}$. The turns ratio of the individual transformers are indicated in the figure. The RMS value...
admin
2.7k
points
admin
asked
May 22, 2023
Others
gatein-2023
+
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0
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0
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85
GATE IN 2024 | Question: 40
The readings recorded from a 20 -psig pressure gauge are given in the Table. The regression line obtained for the data is $y=0.04 x+10.32$. The regression coefficient of determination, $R^{2}=$ (rounded off to three decimal places). \begin{tabular}{|c|c|c|c|c|c|} \hline$x$ & 1 & 2 & 3 & 4 & 5 \\ \hline$y$ (psig) & 10.3 & 10.5 & 10.4 & 10.5 & 10.5 \\ \hline \end{tabular}
The readings recorded from a 20 -psig pressure gauge are given in the Table. The regression line obtained for the data is $y=0.04 x+10.32$. The regression coefficient of ...
admin
2.7k
points
admin
asked
Feb 16
Others
gatein-2024
numerical-answers
+
–
0
votes
0
answers
86
GATE2018IN: 43
The product of sum expression of a Boolean function F(A, B, C) of three variables is given by $F(A, B, C) = (A + B + \overline{C}) \cdot(A + \overline{B} + \overline{C}) \cdot (\overline{A} + B + C) \cdot(\overline{A} + \overline{B} + \overline{C}$) The canonical sum product expression of $F(A, B, C)$ ... $\overline{A}\; \overline{B}\; \overline{C} + \overline{A} B C + A B \overline{C} + A B C$
The product of sum expression of a Boolean function F(A, B, C) of three variables is given by$F(A, B, C) = (A + B + \overline{C}) \cdot(A + \overline{B} + \overline{C}) \...
gatecse
1.4k
points
gatecse
asked
Feb 20, 2018
Digital Electronics
gate2018-in
digital-electronics
boolean-algebra
products-of-sum-form
+
–
0
votes
0
answers
87
GATE2019 IN: 29
A complex function f(z) = u(x,y) + i v(x,y) and its complex conjugate f*(z) = u(x,y) – i v(x,y) are both analytic in the entire complex plane, where z = x + i y and i = $\sqrt{-1}$. The function f is then given by f(z) = x + i y f(z) = x$^{2}$ – y$^{2}$ + i 2xy f(z) = constant f(z) = x$^{2}$ + y$^{2}$
A complex function f(z) = u(x,y) + i v(x,y) and its complex conjugate f*(z) = u(x,y) – i v(x,y) are both analytic in the entire complex plane, where z = x + i y and i =...
Arjun
2.9k
points
Arjun
asked
Feb 10, 2019
Analysis of complex variables
gate2019-in
analysis-of-complex-variables
complex-conjugate
complex-function
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–
0
votes
0
answers
88
GATE IN 2024 | Question: 2
The pressure drop across a control valve is constant. The control valve with inherent characteristic has decreasing sensitivity. If $x$ represents the fraction of maximum stem position of the control valve, then the function $f(x)$ representing the fraction of maximum flow is $\alpha^{x-1}$, where $\alpha$ is constant $\sqrt{x}$ $x$ $x^{2}$
The pressure drop across a control valve is constant. The control valve with inherent characteristic has decreasing sensitivity. If $x$ represents the fraction of maximum...
admin
2.7k
points
admin
asked
Feb 16
Others
gatein-2024
+
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0
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0
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89
GATE2019 IN: GA-3
The radius as well as the height of a circular cone increases by $10\%.$ The percentage increase in its volume is ________. $17.1$ $21.0$ $33.1$ $72.8$
The radius as well as the height of a circular cone increases by $10\%.$ The percentage increase in its volume is ________.$17.1$$21.0$$33.1$$72.8$
Arjun
2.9k
points
Arjun
asked
Feb 10, 2019
Quantitative Aptitude
gate2019-in
numerical-ability
mensuration
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–
0
votes
0
answers
90
GATE IN 2024 | GA Question: 5
The ratio of the number of girls to boys in class VIII is the same as the ratio of the number of boys to girls in class IX. The total number of students (boys and girls) in classes VIII and IX is 450 and 360 , respectively. If the number of girls in classes VIII and IX is the same, then the number of girls in each class is $150$ $200$ $250$ $175$
The ratio of the number of girls to boys in class VIII is the same as the ratio of the number of boys to girls in class IX. The total number of students (boys and girls) ...
Arjun
2.9k
points
Arjun
asked
Feb 16
Others
gatein-2024
+
–
0
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0
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91
GATE2019 IN: GA-6
Since the last one year after a $125$ basis point reduction in repo rate by the Reserve Bank Of India, banking institutions have been making a demand to reduce interest rates on small saving schemes. Finally, the government announced yesterday a reduction in interest rates on small saving schemes to bring them on par ... rates on small saving scheme A reduction in interest rates on small savings scheme follow only after a reduction in repo rate by the Reserve Bank Of India
Since the last one year after a $125$ basis point reduction in repo rate by the Reserve Bank Of India, banking institutions have been making a demand to reduce interest r...
Arjun
2.9k
points
Arjun
asked
Feb 10, 2019
Verbal Aptitude
gate2019-in
verbal-ability
verbal-reasoning
passage-reading
+
–
0
votes
0
answers
92
GATE2018IN: 34
Let y[n] = x[n] * h[n], where * denotes convolution and x[n] and h[n] are two discrete time sequences, Given that the z-transform of y[n] is y(z) = 2+ 3z$^{-1}$ + z$^{-2}$, the z- transform of p[n] = x[n] * h [n-2] is 2 + 3z + z$^{-2}$ 3z +z$^{-2}$ 2z$^2$ + 3z + 1 2z$^{-2}$ + 3z$^{-3}$ + z$^{-4}$
Let y[n] = x[n] * h[n], where * denotes convolution and x[n] and h[n] are two discrete time sequences, Given that the z-transform of y[n] is y(z) = 2+ 3z$^{-1}$ + z$^{-2}...
gatecse
1.4k
points
gatecse
asked
Feb 20, 2018
Others
gate2018-in
+
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0
votes
0
answers
93
GATE2019 IN: 5
The output y(t) of a system is related to its input x(t) as y(t) = ${\displaystyle \int^t_0}$x(t – 2)dt, where, x(t) =0 and y(t) = 0 for t $\le$ 0. The transfer function of the system is $\frac{1}{s}$ $\frac{(1-e^{-2s})}{s}$ $\frac {e^{-2s}}{s}$ $\frac{1}{s} – e^{-2s}$
The output y(t) of a system is related to its input x(t) asy(t) = ${\displaystyle \int^t_0}$x(t – 2)dt, where, x(t) =0 and y(t) = 0 for t $\le$ 0. The transfer function...
Arjun
2.9k
points
Arjun
asked
Feb 10, 2019
Others
gate2019-in
+
–
1
votes
1
answer
94
GATE IN 2023 | GA Question: 1
The village was nestled in a green spot, __________ the ocean and the hills. through in at between
The village was nestled in a green spot, __________ the ocean and the hills.throughin atbetween
admin
2.7k
points
admin
asked
May 22, 2023
Verbal Aptitude
gatein-2023
verbal-aptitude
english-grammar
+
–
0
votes
0
answers
95
GATE IN 2021 | Question: 37
Consider that $\text{X}$ and $\text{Y}$ are independent continuous valued random variables with uniform $\text{PDF}$ given by $X\sim U\left ( 2,3 \right )$ and $Y\sim U\left ( 1,4 \right )$. Then $P\left ( Y\leq X \right )$ is equal to __________________ (rounded off to two decimal places).
Consider that $\text{X}$ and $\text{Y}$ are independent continuous valued random variables with uniform $\text{PDF}$ given by $X\sim U\left ( 2,3 \right )$ and $Y\sim U\l...
Arjun
2.9k
points
Arjun
asked
Feb 19, 2021
Probability and Statistics
gatein-2021
numerical-answers
probability-and-statistics
probability
probability-density-function
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0
votes
0
answers
96
GATE2018IN: 21
A 300 V, 5A, 0.2 pf low power factor wattmeter is used to measure the power consumed by a load. The wattmeter scale has 150 divisions and the pointer is on the 100$^{th}$ division. The power consumed by the load (in Watts) is $\_\_\_\_\_$
A 300 V, 5A, 0.2 pf low power factor wattmeter is used to measure the power consumed by a load. The wattmeter scale has 150 divisions and the pointer is on the 100$^{th}$...
gatecse
1.4k
points
gatecse
asked
Feb 20, 2018
Others
gate2018-in
numerical-answers
+
–
1
votes
1
answer
97
GATE IN 2023 | GA Question: 7
Ankita has to climb $5$ stairs starting at the ground, while respecting the following rules: At any stage, Ankita can move either one or two stairs up. At any stage, Ankita cannot move to a lower step. Let $F(N)$ denote the number of possible ways in which Ankita can reach the $N^{\text {th}}$ stair. For example, $F(1)=1, F(2)=2, F(3)=3$. The value of $F(5)$ is__________. $8$ $7$ $6$ $5$
Ankita has to climb $5$ stairs starting at the ground, while respecting the following rules:At any stage, Ankita can move either one or two stairs up.At any stage, Ankita...
admin
2.7k
points
admin
asked
May 22, 2023
Quantitative Aptitude
gatein-2023
quantitative-aptitude
functions
+
–
0
votes
0
answers
98
GATE IN 2024 | Question: 5
The capacitor shown in the figure has parallel plates, with each plate having an area $A$. The thickness of the dielectric materials are $d_{1}$ and $d_{2}$ and their relative permittivities are $\varepsilon_{1}$ and $\varepsilon_{2}$, respectively. Assume that the fringing field effects are negligible and $\varepsilon_{0}$ is the permittivity of free ... $\frac{\varepsilon_{0} \mathrm{~A}}{\mathrm{~d}_{1}+\delta \mathrm{d}_{1}+\frac{\mathrm{d}_{2}}{\varepsilon_{2}}}$
The capacitor shown in the figure has parallel plates, with each plate having an area $A$. The thickness of the dielectric materials are $d_{1}$ and $d_{2}$ and their rel...
admin
2.7k
points
admin
asked
Feb 16
Others
gatein-2024
+
–
0
votes
0
answers
99
GATE IN 2024 | Question: 42
Consider the capacitive sensor circuit and its output voltage shown in the figure. The circuit is switched $\mathrm{ON}$ at $\mathrm{t}=0$. Assuming the opamp to be ideal, the frequency of the output voltage $\mathrm{V}_{0}$ is $\mathrm{kHz}$ (rounded off to two decimal places).
Consider the capacitive sensor circuit and its output voltage shown in the figure. The circuit is switched $\mathrm{ON}$ at $\mathrm{t}=0$. Assuming the opamp to be ideal...
admin
2.7k
points
admin
asked
Feb 16
Others
gatein-2024
numerical-answers
+
–
0
votes
0
answers
100
GATE2016-GA-7
The overwhelming number of people infected with rabies in India has been flagged by the World Health Organization as a source of concern. It is estimated that inoculating $70\%$ of pets and stray dogs against rabies can lead to a significant reduction in the number of people infected with rabies. Which of the following can be ... infected with rabies is low. Rabies can be eradicated in India by vaccinating $70\%$ of stray dogs. Stray dogs are the main source of rabies worldwide.
The overwhelming number of people infected with rabies in India has been flagged by the World Health Organization as a source of concern. It is estimated that inoculating...
Milicevic3306
7.9k
points
Milicevic3306
asked
Mar 26, 2018
Verbal Aptitude
gate2016-in
verbal-ability
verbal-reasoning
passage-reading
+
–
0
votes
0
answers
101
GATE2018IN: 50
The average velocity $v$ of flow of clear water in a $100\; cm$ (inner) diameter tube is measured using the ultrasonic flow meter as shown in the figure. The angle $\theta$ is $45^\circ$. The measured transit times are $t_1 = 0.9950\;ms$ and $t_2 = 1.0000\; ms$. The velocity $v$ (in m/s) in the pipe is (up to one decimal place) $\_\_\_\_\_$.
The average velocity $v$ of flow of clear water in a $100\; cm$ (inner) diameter tube is measured using the ultrasonic flow meter as shown in the figure. The angle $\thet...
gatecse
1.4k
points
gatecse
asked
Feb 20, 2018
Others
gate2018-in
numerical-answers
+
–
0
votes
0
answers
102
GATE2013-65
$\text{Statement:}$ There were different streams of freedom movements in colonial India carried out by the moderates, liberals, radicals, socialists, and so on. Which one of the following is the best inference from the above statement? The emergence of nationalism in colonial India led to our Independence Nationalism in India emerged in the context of colonialism Nationalism in India is homogeneous Nationalism in India is heterogeneous
$\text{Statement:}$ There were different streams of freedom movements in colonial India carried out by the moderates, liberals, radicals, socialists, and so on.Which one ...
Milicevic3306
7.9k
points
Milicevic3306
asked
Mar 25, 2018
Verbal Aptitude
gate2013-in
verbal-ability
verbal-reasoning
verbal-inference
+
–
0
votes
0
answers
103
GATE IN 2021 | GA Question: 2
The mirror image of the above text about the $\text{X}$-axis is
The mirror image of the above text about the $\text{X}$-axis is
Arjun
2.9k
points
Arjun
asked
Feb 19, 2021
Analytical Aptitude
gatein-2021
analytical-aptitude
logical-reasoning
mirror-image
+
–
0
votes
0
answers
104
GATE2020 IN: 28
A straight line drawn on an x-y plane intercepts the x-axis at -0.5 and the y-axis at 1. The equation that describes this line is __________. $\text{y=-0.5x+1}$ $\text{y=x-0.5}$ $\text{y=0.5x-1}$ $\text{y=2x+1}$
A straight line drawn on an x-y plane intercepts the x-axis at -0.5 and the y-axis at 1.The equation that describes this line is __________.$\text{y=-0.5x+1}$$\text{y=x-0...
soujanyareddy13
2.7k
points
soujanyareddy13
asked
Nov 3, 2020
Calculus
gate2020-in
calculus
cartesian-coordinates
+
–
0
votes
0
answers
105
GATE2019 IN: GA-9
two trains started at $7$AM from the same point. The first train travelled north at a speed of $80$km/h and the second train travelled south at a speed of $100$km/h. The time at which they were $540$ km apart is ________ AM. $9$ $10$ $11$ $11.30$
two trains started at $7$AM from the same point. The first train travelled north at a speed of $80$km/h and the second train travelled south at a speed of $100$km/h. The ...
Arjun
2.9k
points
Arjun
asked
Feb 10, 2019
Quantitative Aptitude
gate2019-in
numerical-ability
speed-time-distance
+
–
0
votes
0
answers
106
GATE 2016 - 1
A straight line of the form $y=mx+c$ passes through the origin and the point $(x,y)$ =$(2,6)$. The value of $m$ is _____.
A straight line of the form $y=mx+c$ passes through the origin and the point $(x,y)$ =$(2,6)$. The value of $m$ is _____.
Milicevic3306
7.9k
points
Milicevic3306
asked
Mar 26, 2018
Calculus
gate2016-in
numerical-answers
calculus
cartesian-coordinates
+
–
0
votes
0
answers
107
GATE IN 2022 | Question: 36
The digital circuit shown ________ is a divide-by-$5$ counter is a divide-by-$7$ counter is a divide-by-$8$ counter does not function as a counter due to disjoint cycles of states
The digital circuit shown ________is a divide-by-$5$ counteris a divide-by-$7$ counteris a divide-by-$8$ counterdoes not function as a counter due to disjoint cycles of s...
Lakshman Bhaiya
2.4k
points
Lakshman Bhaiya
asked
Mar 20, 2022
Others
gatein-2022
+
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2
votes
1
answer
108
GATE IN 2021 | Question: 35
A $4 \times 1$ multiplexer with two selector lines is used to realize a Boolean function $\text{F}$ having four Boolean variables $\text{X, Y, Z}$ and $\text{W}$ as shown below. $S_{0}$ and $S_{1}$ denote the least significant bit $\text{(LSB)}$ and most significant bit $\text{(MSB)}$ ... $F\left ( X,Y,Z,W \right )=\sum \text{m}\left ( 1,3,7,9,15 \right )$
A $4 \times 1$ multiplexer with two selector lines is used to realize a Boolean function $\text{F}$ having four Boolean variables $\text{X, Y, Z}$ and $\text{W}$ as shown...
Arjun
2.9k
points
Arjun
asked
Feb 19, 2021
Digital Electronics
gatein-2021
digital-electronics
combinational-circuits
multiplexers
+
–
0
votes
0
answers
109
GATE2019 IN: GA-1
The fisherman, ________ the flood victims owed their lives, were rewarded by the government. whom to which to whom that
The fisherman, ________ the flood victims owed their lives, were rewarded by the government.whomto whichto whomthat
Arjun
2.9k
points
Arjun
asked
Feb 10, 2019
Verbal Aptitude
gate2019-in
verbal-ability
english-grammar
+
–
0
votes
0
answers
110
GATE IN 2022 | Question: 31
A proportional-integral-derivative $\text{(PID)}$ controller is employed to stably control a plant with transfer function $P(s) = \frac{1}{(s+1)(s+2)}$ Now, the proportional gain is increased by a factor of $2,$ the integral gain is increased by a factor of $3,$ and the derivative gain is left unchanged ... -state error in tracking a ramp reference signal _________ Remains unchanged Decreases by a factor of $2$ Decreases by a factor of $3$ Decreases by a factor of $5$
A proportional-integral-derivative $\text{(PID)}$ controller is employed to stably control a plant with transfer function$$P(s) = \frac{1}{(s+1)(s+2)}$$Now, the proportio...
Lakshman Bhaiya
2.4k
points
Lakshman Bhaiya
asked
Mar 20, 2022
Others
gatein-2022
+
–
0
votes
0
answers
111
GATE2020 IN: 40
Two flip-flops are interconnected as shown in the figure. The present state of the flip flops are: $A=1, B=1$. The input x is given as $1,0,1$ in the next three clock cycles. The decimal equivalent of $(ABy)_2$ with A beign the $MSB$ and y being the $LSB$, after the 3rd clock cycle is ___________
Two flip-flops are interconnected as shown in the figure. The present state of the flip flops are: $A=1, B=1$. The input x is given as $1,0,1$ in the next three clock cyc...
soujanyareddy13
2.7k
points
soujanyareddy13
asked
Nov 3, 2020
Digital Electronics
gate2020-in
numerical-answers
digital-electronics
sequential-circuit
flip-flops
+
–
0
votes
0
answers
112
GATE2015-34
A light detector circuit using an ideal photo-diode is shown in the figure. The sensitivity of the photo-diode is $0.5\:\mu A/\mu W$. With $V_r=6\:V$, the output voltage $V_\circ=-1.0V$ for $10 \mu W$ of incident light. If $V_r$ is changed to $3\:V$, keeping all other parameters the same, the value of $V_\circ$ in volts is ____________ $V$.
A light detector circuit using an ideal photo-diode is shown in the figure. The sensitivity of the photo-diode is $0.5\:\mu A/\mu W$. With $V_r=6\:V$, the output voltage ...
Milicevic3306
7.9k
points
Milicevic3306
asked
Mar 26, 2018
Others
gate2015-in
numerical-answers
+
–
0
votes
0
answers
113
GATE2019 IN: GA-8
The nomenclature of Hindustani music has changed over the countries. Since the medieval period, dhrupad styles were identified as baanis. Terms like gayaki and baaj were used to refer to vocal and instrumental styles, respectively. With the institutionalization of music education, the term gharana became acceptable. ... including disciples and grand disciples. Which one of the following pairings is NOT correct? dhrupad, baani gayaki, vocal baaj, institution gharana, lineage
The nomenclature of Hindustani music has changed over the countries. Since the medieval period, dhrupad styles were identified as baanis. Terms like gayaki and baaj were ...
Arjun
2.9k
points
Arjun
asked
Feb 10, 2019
Verbal Aptitude
gate2019-in
verbal-ability
verbal-reasoning
passage-reading
+
–
0
votes
0
answers
114
GATE2019 IN: 35
$X=X_1X_0 \;and\;Y=Y_1Y_0$ are 2-bit binary numbers. The Boolean function $S$ that satisfies the condition “If $X>Y$, then $S=1”$, in its minimized form, is $X_1Y_1+X_0Y_0$ $X_1\overline Y_1+X_0\overline Y_0\overline Y_1+X_0\overline Y_0 X_1$ $X_1\overline Y_1X_0Y_0$ $X_1Y_1+X_0\overline Y_0Y_1+X_0\overline Y_0\overline X_1$
$X=X_1X_0 \;and\;Y=Y_1Y_0$ are 2-bit binary numbers. The Boolean function $S$ that satisfies the condition “If $X>Y$, then $S=1”$, in its minimized form, is$X_1Y_1+X_...
Arjun
2.9k
points
Arjun
asked
Feb 10, 2019
Digital Electronics
gate2019-in
digital-electronics
boolean-algebra
boolean-functions
+
–
0
votes
0
answers
115
GATE2018IN: 40
In the given relaxation oscillator, the opamps and the zener diodes are ideal. The frequency (in $kHz$) of the square wave output $v_{\circ}$ is $\_\_\_\_\_\_$.
In the given relaxation oscillator, the opamps and the zener diodes are ideal. The frequency (in $kHz$) of the square wave output $v_{\circ}$ is $\_\_\_\_\_\_$.
gatecse
1.4k
points
gatecse
asked
Feb 20, 2018
Others
gate2018-in
numerical-answers
+
–
0
votes
0
answers
116
GATE IN 2024 | Question: 46
A shielded cable with $\mathrm{C}_{\text {stray }}=20 \mathrm{pF}$ and $\mathrm{R}_{\text {wire }}=10 \Omega$ is used to connect the inductive sensors as shown in the figure. The RMS value of $V_{\text {out }}$ is $\mathrm{V}$ (rounded off to two decimal places). Note: Assume all components are ideal, and sensors are not magnetically coupled.
A shielded cable with $\mathrm{C}_{\text {stray }}=20 \mathrm{pF}$ and $\mathrm{R}_{\text {wire }}=10 \Omega$ is used to connect the inductive sensors as shown in the fig...
admin
2.7k
points
admin
asked
Feb 16
Others
gatein-2024
numerical-answers
+
–
0
votes
1
answer
117
GATE2020: 20
A second order system has closed loop poles located at $s=-3\pm j4$. The time t at which the maximum value of the step response occurs (in seconds, rounded off to two decimal places) is ________
A second order system has closed loop poles located at $s=-3\pm j4$. The time t at which the maximum value of the step response occurs (in seconds, rounded off to two dec...
soujanyareddy13
2.7k
points
soujanyareddy13
asked
Nov 3, 2020
Others
gate2020-in
numerical-answers
+
–
0
votes
0
answers
118
GATE2018IN: 54
A Michelson Interferometer using a laser source of wavelength $\lambda_0 = 500\; nm$, with both the mirrors $(M_1$ & $M_2)$ fixed and positioned equidistant from the splitter/combiner is shown in the figure. When a dielectric plate of refractive index $n = 1.5$, of thickness $t$ ... position of the mirrors $M_1$ & $M_2$, a bright fringe is observed on the detector. The minimum thickness $t$ (in $nm$) of the dielectric is ______________.
A Michelson Interferometer using a laser source of wavelength $\lambda_0 = 500\; nm$, with both the mirrors $(M_1$ & $M_2)$ fixed and positioned equidistant from the spl...
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119
GATE2018IN: 37
Consider the linear system x = $\begin{bmatrix}-1 & 0 \\0 & -2\end{bmatrix} x,$ with initial condition $x(0) = \begin{bmatrix}1 \\1\end{bmatrix}$. The solution $x(t)$ for this system is $x(t) = \begin{bmatrix}e^{-t} & te^{-2t} \\0 & e^{-2t}\end{bmatrix}$ $\begin{bmatrix}1 \\1\end{bmatrix}$ ... $\begin{bmatrix}1 \\1\end{bmatrix}$ $x(t) = \begin{bmatrix}e^{-t} & 0 \\0 & e^{-2t}\end{bmatrix}$ $\begin{bmatrix}1 \\1\end{bmatrix}$
Consider the linear system x = $\begin{bmatrix}-1 & 0 \\0 & -2\end{bmatrix} x,$ with initial condition $x(0) = \begin{bmatrix}1 \\1\end{bmatrix}$. The solution $x(t)$ for...
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Numerical Methods
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GATE2018IN: 8
A coil having an impedance of (10 + j100) $\Omega$ is connected in parallel to a variable capacitor as shown in figure. Keeping the excitation frequency unchanged, the value of the capacitor is changed so that parallel resonance occurs. The impedance across terminals p-q at resonance (in $\Omega$) is $\_\_\_\_$.
A coil having an impedance of (10 + j100) $\Omega$ is connected in parallel to a variable capacitor as shown in figure. Keeping the excitation frequency unchanged, the va...
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