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641
GATE2014-46
The transfer function of a system is given by $G(s)=\frac{e^{-s/500}}{s+500}$ The input to the system is $x(t)=\sin100\pi t$. In periodic steady state the output of the system is found to be $y(t)=A\sin(100\pi t-\phi).$ The phase angle $(\phi )$ in degree is ___________.
The transfer function of a system is given by$$G(s)=\frac{e^{-s/500}}{s+500}$$The input to the system is $x(t)=\sin100\pi t$. In periodic steady state the output of the s...
Milicevic3306
7.9k
points
Milicevic3306
asked
Mar 25, 2018
Others
gate2014-in
numerical-answers
+
–
0
votes
0
answers
642
GATE2014-47
In the microprocessor controlled measurement scheme shown in the figure, $R_x$ is the unknown resistance to be measured, while $R_{ref}$ and $C_{ref}$ are known. $C_{ref}$ is charged from voltage $V_L$ to $V_H$ (by a constant DC voltage source $V_s$), once through $R_{ref}$ in $T_{ref}$ seconds and then discharged to $V_L$. It is again charged from voltage ... $T_x=kT_{ref}$ then $R_x=kR_{ref}(1-\frac{V_L}{V_H})$ $R_x=kR_{ref}ln(\frac{V_H}{V_L})$ $R_x=kR_{ref}$ $R_x=kR_{ref}\;ln\;k$
In the microprocessor controlled measurement scheme shown in the figure, $R_x$ is the unknown resistance to be measured, while $R_{ref}$ and $C_{ref}$ are known. $C_{ref...
Milicevic3306
7.9k
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Milicevic3306
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gate2014-in
+
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0
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0
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643
GATE2014-48
Frequency of an analog periodic signal in the range of $5kHz-10kHz$ is to be measured with a resolution of $100Hz$ by measuring its period with a counter. Assuming negligible signal and transition delays the minimum clock frequency and minimum number of bits in the counter needed, respectively, are: $1\; MHz,\; 10-bits$ $10\; MHz,\; 10-bits$ $1\; MHz,\; 8-bits$ $10\; MHz,\; 8-bits$
Frequency of an analog periodic signal in the range of $5kHz-10kHz$ is to be measured with a resolution of $100Hz$ by measuring its period with a counter. Assuming neglig...
Milicevic3306
7.9k
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Mar 25, 2018
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0
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0
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644
GATE2014-49
The loop transfer function of a feedback control system is given by $G(s)H(s)=\frac{1}{s(s+1)(9s+1)}$ Its phase crossover frequency (in rad/s), approximated to two decimal places, is ______________.
The loop transfer function of a feedback control system is given by$$G(s)H(s)=\frac{1}{s(s+1)(9s+1)}$$Its phase crossover frequency (in rad/s), approximated to two decima...
Milicevic3306
7.9k
points
Milicevic3306
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Mar 25, 2018
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gate2014-in
numerical-answers
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–
0
votes
0
answers
645
GATE2014-50
Consider a transport lag process with a transfer function $G_p(S)=e^{-s}$ The process is controlled by a purely integral controller with transfer function $G_c(S)=\frac{K_i}{S}$ in a unity feedback configuration. The value of $K_i$ for which the closed loop plant has a pole at $ s=-1$, is ___________.
Consider a transport lag process with a transfer function$$G_p(S)=e^{-s}$$The process is controlled by a purely integral controller with transfer function$$G_c(S)=\frac{K...
Milicevic3306
7.9k
points
Milicevic3306
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gate2014-in
numerical-answers
+
–
0
votes
0
answers
646
GATE2014-51
Consider the control system shown in figure with feed forward action for rejection of a measurable disturbance $d(t)$. The value of $K$, for which the disturbance response at the output $y(t)$ is zero mean, is : $1$ $-1$ $2$ $-2$
Consider the control system shown in figure with feed forward action for rejection of a measurable disturbance $d(t)$. The value of $K$, for which the disturbance respons...
Milicevic3306
7.9k
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Milicevic3306
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0
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0
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647
GATE2014-52
A mixture contains two mutually inert solutions $’X’$ and $’Y’$ in equal volumes. The mixture is examined in a spectrophotometer using a cuvette. It is observed that the transmittance is $0.40$. With only the solution $’X’$ in the same cuvette, the transmittance is $0.20$. With only solution $’Y’$ in the cuvette the transmittance is __________.
A mixture contains two mutually inert solutions $’X’$ and $’Y’$ in equal volumes. The mixture is examined in a spectrophotometer using a cuvette. It is observed t...
Milicevic3306
7.9k
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Milicevic3306
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Mar 25, 2018
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gate2014-in
numerical-answers
+
–
0
votes
0
answers
648
GATE2014-53
Monochromatic light from a step index $(n_1=1.500;n_2=1.485),$ multimode optical fiber of core diameter $100\;\mu m$ is incident through air $(n=1.000)$ onto a linear photo-detector array placed at $1\; mm$ distance from the tip of the fiber. The tip of the fiber is polished and its exit plane is ... diameter. The distance between the edges of two adjacent elements can be assumed to be zero. The number of elements illuminated by the light coming out of the fiber is __________.
Monochromatic light from a step index $(n_1=1.500;n_2=1.485),$ multimode optical fiber of core diameter $100\;\mu m$ is incident through air $(n=1.000)$ onto a linear pho...
Milicevic3306
7.9k
points
Milicevic3306
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Others
gate2014-in
numerical-answers
+
–
0
votes
0
answers
649
GATE2014-54
An image of the chest of a patient is taken with an $X-ray$ machine on a photographic film. The Hurter-Driffield (HD) curve of the film is shown in the figure. The highly absorbing parts of the body (e.g. bones), show up as low exposure regions(mapped near A) and the less absorbing parts (e.g. ... contrast decreases since both A and B move into the shoulder region contrast increases since A moves into the toe region contrast decreases since both A and B move into the toe region
An image of the chest of a patient is taken with an $X-ray$ machine on a photographic film. The Hurter-Driffield (HD) curve of the film is shown in the figure. The highly...
Milicevic3306
7.9k
points
Milicevic3306
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Mar 25, 2018
Others
gate2014-in
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–
0
votes
0
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650
GATE2014-55
For the given low-pass circuit shown in the figure, the cutoff frequency in Hz will be ____________.
For the given low-pass circuit shown in the figure, the cutoff frequency in Hz will be ____________.
Milicevic3306
7.9k
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Milicevic3306
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Others
gate2014-in
numerical-answers
+
–
0
votes
0
answers
651
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
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0
votes
0
answers
652
GATE2013-64
What is the chance that a leap year, selected at random, will contain $53$ Saturdays? $2/7$ $3/7$ $1/7$ $5/7$
What is the chance that a leap year, selected at random, will contain $53$ Saturdays?$2/7$$3/7$$1/7$$5/7$
Milicevic3306
7.9k
points
Milicevic3306
asked
Mar 25, 2018
Quantitative Aptitude
gate2013-in
numerical-ability
probability
leap-year
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0
votes
0
answers
653
GATE2013-63
A car travels $8\;\text{km}$ in the first quarter of an hour, $6\;\text{km}$ in the second quarter and $16\;\text{km}$ in the third quarter. The average speed of the car in $\text{km}$ per hour over the entire journey is $30$ $36$ $40$ $24$
A car travels $8\;\text{km}$ in the first quarter of an hour, $6\;\text{km}$ in the second quarter and $16\;\text{km}$ in the third quarter. The average speed of the car ...
Milicevic3306
7.9k
points
Milicevic3306
asked
Mar 25, 2018
Quantitative Aptitude
gate2013-in
numerical-ability
speed-time-distance
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0
votes
0
answers
654
GATE2013-62
The set of values of $\text{p}$ for which the roots of the equation $3\text{x}^2+2\text{x}+\text{p}\text{(p-1)}=0$ are of opposite sign is $(-\infty,\;0)$ $(0,\;1)$ $(1,\;\infty)$ $(0,\;\infty)$
The set of values of $\text{p}$ for which the roots of the equation $3\text{x}^2+2\text{x}+\text{p}\text{(p-1)}=0$ are of opposite sign is $(-\infty,\;0)$$(0,\;1)$$(1,\;\...
Milicevic3306
7.9k
points
Milicevic3306
asked
Mar 25, 2018
Quantitative Aptitude
gate2013-in
numerical-ability
quadratic-equations
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–
0
votes
0
answers
655
GATE2013-61
Find the sum to $n$ terms of the series $10+84+734+….$ $\frac{9(9^n+1)}{10}+1$ $\frac{9(9^n-1)}{8}+1$ $\frac{9(9^n-1)}{8}+n$ $\frac{9(9^n-1)}{8}+n^2$
Find the sum to $n$ terms of the series $10+84+734+….$$\frac{9(9^n+1)}{10}+1$$\frac{9(9^n-1)}{8}+1$$\frac{9(9^n-1)}{8}+n$$\frac{9(9^n-1)}{8}+n^2$
Milicevic3306
7.9k
points
Milicevic3306
asked
Mar 25, 2018
Quantitative Aptitude
gate2013-in
numerical-ability
arithmetic-series
+
–
0
votes
0
answers
656
GATE2013-60
In the summer of $2012$, in New Delhi, the mean temperature of Monday to Wednesday was $41^\circ\text{C}$ and of Tuesday to Thursday was $43^\circ\text{C}$. If the temperature on Thursday was $15$% higher than that of Monday, then the temperature in $^\circ\text{C}$ on Thursday was $40$ $43$ $46$ $49$
In the summer of $2012$, in New Delhi, the mean temperature of Monday to Wednesday was $41^\circ\text{C}$ and of Tuesday to Thursday was $43^\circ\text{C}$. If the temper...
Milicevic3306
7.9k
points
Milicevic3306
asked
Mar 25, 2018
Quantitative Aptitude
gate2013-in
numerical-ability
percentage
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–
0
votes
0
answers
657
GATE2013-59
They were requested not to $\text{quarrel}$ with others. Which one of the following options is the closest in meaning to the word $\text{quarrel}$? make out call out dig out fall out
They were requested not to $\text{quarrel}$ with others.Which one of the following options is the closest in meaning to the word $\text{quarrel}$?make outcall outdig outf...
Milicevic3306
7.9k
points
Milicevic3306
asked
Mar 25, 2018
Verbal Aptitude
gate2013-in
verbal-ability
word-meaning
+
–
0
votes
0
answers
658
GATE2013-58
Choose the grammatically $\text{CORRECT}$ sentence: Two and two add four Two and two become four Two and two are four Two and two make four
Choose the grammatically $\text{CORRECT}$ sentence:Two and two add fourTwo and two become fourTwo and two are fourTwo and two make four
Milicevic3306
7.9k
points
Milicevic3306
asked
Mar 25, 2018
Verbal Aptitude
gate2013-in
verbal-ability
english-grammar
+
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0
votes
0
answers
659
GATE2013-57
Complete the sentence: Dare _____________ mistakes. commit to commit committed committing
Complete the sentence:Dare _____________ mistakes.committo commitcommittedcommitting
Milicevic3306
7.9k
points
Milicevic3306
asked
Mar 25, 2018
Verbal Aptitude
gate2013-in
verbal-ability
english-grammar
+
–
0
votes
0
answers
660
GATE2013-56
$\text{Statement:}$ You can always give me a ring whenever you need. Which one of the following is the best inference from the above statement? Because I have a nice caller tune Because I have a better telephone facility Because a friend in need is a friend indeed Because you need not pay towards the telephone bills when you give me a ring
$\text{Statement:}$ You can always give me a ring whenever you need.Which one of the following is the best inference from the above statement?Because I have a nice caller...
Milicevic3306
7.9k
points
Milicevic3306
asked
Mar 25, 2018
Verbal Aptitude
gate2013-in
verbal-ability
verbal-reasoning
verbal-inference
+
–
0
votes
0
answers
661
GATE2013-55
A differential amplifier with signal terminals $X,Y,Z$ is connected as shown in Fig. (a) below for $CMRR$ measurement where the differential amplifier has an additional constant offset voltage in the output. The observations obtained are: when $V_i=2V, V_0=3mV,$ and when $V_i=3V, V_0=4mV$. The differential amplifier is connected as shown in Fig. (b) above ... above. The output voltage in $mV$ varies approximately from $+128$ to $-128$ $+128$ to $-122$ $+122$ to $-122$ $+99$ to $-101$
A differential amplifier with signal terminals $X,Y,Z$ is connected as shown in Fig. (a) below for $CMRR$ measurement where the differential amplifier has an additional c...
Milicevic3306
7.9k
points
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Others
gate2013-in
+
–
0
votes
0
answers
662
GATE2013-54
A differential amplifier with signal terminals $X,Y,Z$ is connected as shown in Fig. (a) below for $CMRR$ measurement where the differential amplifier has an additional constant offset voltage in the output. The observations obtained are: when $V_i=2V, V_0=3mV,$ and when $V_i=3V, V_0=4mV$. Assuming its differential gain to be $10$ and the op-amp to be otherwise ideal, the $\text{CMRR}$ is $10^2$ $10^3$ $10^4$ $10^5$
A differential amplifier with signal terminals $X,Y,Z$ is connected as shown in Fig. (a) below for $CMRR$ measurement where the differential amplifier has an additional c...
Milicevic3306
7.9k
points
Milicevic3306
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Mar 25, 2018
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gate2013-in
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–
0
votes
0
answers
663
GATE2013-53
Consider a plant with the transfer function $G(s)=1/(s+1)^3.$ Let $K_u$ and $T_u$ be the ultimate gain and ultimate period corresponding to the frequency response based closed loop Ziegler-Nichols cycling method, respectively. The Ziegler-Nichols tuning rule for a $\text{p}$-controller is given as : $K=0.5\;K_u.$ The gain of the transfer ... $\text{P}$-controller designed according to the Ziegler-Nichols tuning rule as given above is $-1.0$ $0.5$ $1.0$ $2.0$
Consider a plant with the transfer function $G(s)=1/(s+1)^3.$ Let $K_u$ and $T_u$ be the ultimate gain and ultimate period corresponding to the frequency response based c...
Milicevic3306
7.9k
points
Milicevic3306
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Mar 25, 2018
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gate2013-in
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votes
0
answers
664
GATE2013-52
Consider a plant with the transfer function $G(s)=1/(s+1)^3.$ Let $K_u$ and $T_u$ be the ultimate gain and ultimate period corresponding to the frequency response based closed loop Ziegler-Nichols cycling method, respectively. The Ziegler-Nichols tuning rule for a $\text{p}$-controller is given as : $K=0.5\;K_u.$ The values of $K_u$ and $T_u,$ respectively, are $2\sqrt{2}$ and $2\pi$ $8$ and $2\pi$ $8$ and $2\pi /\sqrt{3}$ $2\sqrt{2}$ and $2\pi /\sqrt{3}$
Consider a plant with the transfer function $G(s)=1/(s+1)^3.$ Let $K_u$ and $T_u$ be the ultimate gain and ultimate period corresponding to the frequency response based c...
Milicevic3306
7.9k
points
Milicevic3306
asked
Mar 25, 2018
Others
gate2013-in
+
–
0
votes
0
answers
665
GATE2013-51
A piezo-electric force sensor, connected by a cable to a voltage amplifier, has the following parameters: Crystal properties : Stiffness $10^9\;N/m,$ Damping ratio $0.01,$ Natural frequency $10^5\;rad/s,$ Force-to-Charge sensitivity $10^{-9}C/N,$ Capacitance $10^{-9}F$ with its loss angle assumed negligible Cable properties : ... $0.95,$ approximately is, $16$ $160$ $1600$ $16\times 10^3$
A piezo-electric force sensor, connected by a cable to a voltage amplifier, has the following parameters:Crystal properties : Stiffness $10^9\;N/m,$ Damping ratio $0.01,$...
Milicevic3306
7.9k
points
Milicevic3306
asked
Mar 25, 2018
Others
gate2013-in
+
–
0
votes
0
answers
666
GATE2013-50
A piezo-electric force sensor, connected by a cable to a voltage amplifier, has the following parameters: Crystal properties : Stiffness $10^9\;N/m,$ Damping ratio $0.01,$ Natural frequency $10^5\;rad/s,$ Force-to-Charge sensitivity $10^{-9}C/N,$ Capacitance $10^{-9}F$ with its loss angle assumed negligible Cable properties : ... within its useful mid-band range of measurement, for which the gain amplitude is less than $1.05,$ approximately is, $35$ $350$ $3500$ $16\times 10^3$
A piezo-electric force sensor, connected by a cable to a voltage amplifier, has the following parameters:Crystal properties : Stiffness $10^9\;N/m,$ Damping ratio $0.01,$...
Milicevic3306
7.9k
points
Milicevic3306
asked
Mar 25, 2018
Others
gate2013-in
+
–
0
votes
0
answers
667
GATE2013-49
A tungsten wire used in a constant current hot wire anemometer has the following parameters : Resistance at $0^\circ C$ is $10\Omega$, Surface area is $10^{-4}m^2$, Linear temperature coefficient of resistance of the tungsten wire is $4.8\times10^{-3}/^\circ C, $ Convective heat transfer coefficient is $25.2W/m^2/^\circ C,$ ... is $2.5\times 10^{-5} J/^\circ C$ At steady state, the resistance of the wire in $\Omega$ is $10.000$ $10.144$ $12.152$ $14.128$
A tungsten wire used in a constant current hot wire anemometer has the following parameters :Resistance at $0^\circ C$ is $10\Omega$, Surface area is $10^{-4}m^2$, Linear...
Milicevic3306
7.9k
points
Milicevic3306
asked
Mar 25, 2018
Others
gate2013-in
+
–
0
votes
0
answers
668
GATE2013-48
A tungsten wire used in a constant current hot wire anemometer has the following parameters : Resistance at $0^\circ C$ is $10\Omega$, Surface area is $10^{-4}m^2$, Linear temperature coefficient of resistance of the tungsten wire is $4.8\times10^{-3}/^\circ C, $ Convective heat transfer coefficient is $25.2W/m^2/^\circ C,$ flowing air ... $24.5$ $12.25$ $6.125$ $3.0625$
A tungsten wire used in a constant current hot wire anemometer has the following parameters :Resistance at $0^\circ C$ is $10\Omega$, Surface area is $10^{-4}m^2$, Linear...
Milicevic3306
7.9k
points
Milicevic3306
asked
Mar 25, 2018
Others
gate2013-in
+
–
0
votes
0
answers
669
GATE2013-47
Two ammeters $A_1$ and $A_2$ measure the same current and provide readings $I_1$ and $I_2,$ respectively. The ammeter errors can be characterized as independent zero mean Gaussian random variables of standard deviations $\sigma_1$ and $\sigma_2$, respectively. The value of the current is computed as : $I=\mu I_1+(1-\mu)I_2$ ... $\frac{\sigma_1^2}{\sigma_1^2+\sigma_2^2}$ $\frac{\sigma_2}{\sigma_1+\sigma_2}$ $\frac{\sigma_1}{\sigma_1+\sigma_2}$
Two ammeters $A_1$ and $A_2$ measure the same current and provide readings $I_1$ and $I_2,$ respectively. The ammeter errors can be characterized as independent zero mea...
Milicevic3306
7.9k
points
Milicevic3306
asked
Mar 25, 2018
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gate2013-in
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–
0
votes
0
answers
670
GATE2013-46
Measurement of optical absorption of a solution is disturbed by the additional stray light falling at the photo-detector. For estimation of the error caused by stray light the following data could be obtained from controlled experiments. Photo-detector output without solution and without stray light is $500\;\mu W$ Photo-detector output without solution and ... is $200\;\mu W$ The percent error in computing absorption coefficient due to stray light is $12.50$ $31.66$ $33.33$ $94.98$
Measurement of optical absorption of a solution is disturbed by the additional stray light falling at the photo-detector. For estimation of the error caused by stray ligh...
Milicevic3306
7.9k
points
Milicevic3306
asked
Mar 25, 2018
Others
gate2013-in
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–
0
votes
0
answers
671
GATE2013-45
The circuit below incorporates a permanent magnet moving coil milli-ammeter of range $1\;\text{mA}$ having a series resistance of $10\;\text{k}\Omega$. Assuming constant diode forward resistance of $50\;\Omega,$ a forward diode drop of $0.7\;V$ and infinite reverse diode resistance for each diode, the reading of the meter in $mA$ is $0.45$ $0.5$ $0.7$ $0.9$
The circuit below incorporates a permanent magnet moving coil milli-ammeter of range $1\;\text{mA}$ having a series resistance of $10\;\text{k}\Omega$. Assuming constant ...
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7.9k
points
Milicevic3306
asked
Mar 25, 2018
Others
gate2013-in
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–
0
votes
0
answers
672
GATE2013-44
In the circuit shown below, $\text{Q}_1$ has negligible collector-to-emitter saturation voltage and the diode drops negligible voltage across it under forward bias. If $\text{V}_{cc}$ is $+5\;\text{V, X and Y}$ are digital signals with $0\;\text{V}$ as logic $0$ and $\text{V}_{cc}$ as logic $1$, then the Boolean expression for $\text{Z}$ is $\text{XY}$ $\overline{X}\text{Y}$ $\text{X}\overline{Y}$ $\overline{XY}$
In the circuit shown below, $\text{Q}_1$ has negligible collector-to-emitter saturation voltage and the diode drops negligible voltage across it under forward bias. If $\...
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7.9k
points
Milicevic3306
asked
Mar 25, 2018
Others
gate2013-in
+
–
0
votes
0
answers
673
GATE2013-43
In the circuit shown below the op-amps are ideal. Then $V_{out}$ in Volts is $4$ $6$ $8$ $10$
In the circuit shown below the op-amps are ideal. Then $V_{out}$ in Volts is$4$$6$$8$$10$
Milicevic3306
7.9k
points
Milicevic3306
asked
Mar 25, 2018
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gate2013-in
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–
0
votes
0
answers
674
GATE2013-42
A voltage $1000\sin \omega t$ Volts is applied across $YZ$. Assuming ideal diodes, the voltage measured across $WX$ in Volts, is $\sin \omega t$ $(\sin \omega t+|\sin \omega t|)/2$ $(\sin \omega t-|\sin \omega t|)/2$ $0$ for all $t$
A voltage $1000\sin \omega t$ Volts is applied across $YZ$. Assuming ideal diodes, the voltage measured across $WX$ in Volts, is$\sin \omega t$$(\sin \omega t+|\sin \omeg...
Milicevic3306
7.9k
points
Milicevic3306
asked
Mar 25, 2018
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–
0
votes
0
answers
675
GATE2013-41
The signal flow graph for a system is given below. The transfer function $\frac{Y(s)}{U(s)}$ for this system is given as $\frac{s+1}{5s^2+6s+2}$ $\frac{s+1}{s^2+6s+2}$ $\frac{s+1}{s^2+4s+2}$ $\frac{1}{5s^2+6s+2}$
The signal flow graph for a system is given below. The transfer function $\frac{Y(s)}{U(s)}$ for this system is given as $\frac{s+1}{5s^2+6s+2}$$\frac{s+1}{s^2+6s+2}$ $\f...
Milicevic3306
7.9k
points
Milicevic3306
asked
Mar 25, 2018
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gate2013-in
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–
0
votes
0
answers
676
GATE2013-40
A signal $V_i(t)=10+10\sin 100\pi t+10\sin 4000 \pi t+10\sin 100000\pi t$ is supplied to a filter circuit (shown below) made up of ideal op-amps. The least attenuated frequency component in the output will be $\text{0 Hz}$ $\text{50 Hz}$ $\text{2 kHz}$ $\text{50 kHz}$
A signal $V_i(t)=10+10\sin 100\pi t+10\sin 4000 \pi t+10\sin 100000\pi t$ is supplied to a filter circuit (shown below) made up of ideal op-amps. The least attenuated fre...
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7.9k
points
Milicevic3306
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gate2013-in
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–
0
votes
0
answers
677
GATE2013-39
In the circuit shown below, if the source voltage $V_s=100\angle 53.13^\circ$ Volts, then the Thevenin’s equivalent voltage in Volts as seen by the load resistance $R_L$ is $100 \angle 90^\circ$ $800 \angle 0^\circ$ $800 \angle 90^\circ$ $100 \angle 60^\circ$
In the circuit shown below, if the source voltage $V_s=100\angle 53.13^\circ$ Volts, then the Thevenin’s equivalent voltage in Volts as seen by the load resistance $R_L...
Milicevic3306
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678
GATE2013-38
The Laplace Transform representation of the triangular pulse shown below is $\frac{1}{s^2}[1+e^{-2s}]$ $\frac{1}{s^2}[1-e^{-s}+e^{-2s}]$ $\frac{1}{s^2}[1-e^{-s}+2e^{-2s}]$ $\frac{1}{s^2}[1-2e^{-s}+e^{-2s}]$
The Laplace Transform representation of the triangular pulse shown below is $\frac{1}{s^2}[1+e^{-2s}]$$\frac{1}{s^2}[1-e^{-s}+e^{-2s}]$$\frac{1}{s^2}[1-e^{-s}+2e^{-2s}]$$...
Milicevic3306
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Milicevic3306
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Mar 25, 2018
Differential equations
gate2013-in
differential-equations
laplace-transform
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0
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679
GATE2013-37
The maximum value of the solution y(t) of the differential equation $y(t)+\ddot{y}(t)=0$ with initial conditions $\dot{y}(0)=1$ and $y(0)=1,$ for $t\underline{>}0$ is $1$ $2$ $\pi$ $\sqrt{2}$
The maximum value of the solution y(t) of the differential equation $y(t)+\ddot{y}(t)=0$ with initial conditions $\dot{y}(0)=1$ and $y(0)=1,$ for $t\underline{>}0$ is $1$...
Milicevic3306
7.9k
points
Milicevic3306
asked
Mar 25, 2018
Differential equations
gate2013-in
differential-equations
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0
votes
0
answers
680
GATE2013-36
Three capacitors $C_1,C_2$ and $C_3$ whose values are $10\mu F, 5\mu F,$ and $2\mu F$ respectively, have breakdown voltages of $10V, 5V$ and $2V$ respectively. For the interconnection shown below, the maximum safe voltage in Volts that can be applied across the combination, and the corresponding total charge in $\mu C$ stored in the effective capacitance across the terminals are, respectively, $\text{2.8 and 36}$ $\text{7 and 119}$ $\text{2.8 and 32}$ $\text{7 and 80}$
Three capacitors $C_1,C_2$ and $C_3$ whose values are $10\mu F, 5\mu F,$ and $2\mu F$ respectively, have breakdown voltages of $10V, 5V$ and $2V$ respectively. For the in...
Milicevic3306
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Milicevic3306
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