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Questions by soujanyareddy13
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votes
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answers
81
GATE2017: 46
The power delivered to a single phase inductive load is measured with a dynamometer type wattmeter using a potential transformer $(PT)$ of turns ratio $200:1$ and the current transformer $(CT)$ of turns ratio $1:5$. Assume both the transformers to be ideal. The power factor of the load is $0.8$. If the wattmeter reading is $200\;W$, then the apparent power of the load in $\text{kVA}$ is ______________.
The power delivered to a single phase inductive load is measured with a dynamometer type wattmeter using a potential transformer $(PT)$ of turns ratio $200:1$ and the cur...
asked
Nov 2, 2020
Others
gate2017-in
numerical-answers
+
–
0
votes
0
answers
82
GATE2017: 47
The unbalanced voltage of the Wheatstone bridge, shown in the figure, is measured using a digital voltmeter having infinite input impedance and a resolution of $0.1$ $mV$. If $R=1000\;\Omega$, then the minimum value of $\Delta R$ in $\Omega$ to create a detectable unbalanced voltage is _____________.
The unbalanced voltage of the Wheatstone bridge, shown in the figure, is measured using a digital voltmeter having infinite input impedance and a resolution of $0.1$ $mV...
asked
Nov 2, 2020
Others
gate2017-in
numerical-answers
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–
0
votes
0
answers
83
GATE2017: 48
In the a.c. bridge, shown in the figure, $R=10^3$ $\Omega$ and $C=10^{-7}$ $F$. If the bridge is balanced at a frequency $\omega_\circ$, the value of $\omega_\circ$ in $\text{rad/s}$ is ____________.
In the a.c. bridge, shown in the figure, $R=10^3$ $\Omega$ and $C=10^{-7}$ $F$. If the bridge is balanced at a frequency $\omega_\circ$, the value of $\omega_\circ$ in ...
asked
Nov 2, 2020
Others
gate2017-in
numerical-answers
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0
votes
0
answers
84
GATE2017: 49
The hot junction of a bare thermocouple, initially at room temperature $(30^\circ{C})$, is suddenly dipped in molten metal at $t=0$ $s$. The cold junction is kept at room temperature. The thermocouple can be modeled as a first-order instrument with a time constant of $1.0$ $s$ and a static sensitivity of $10$ ... If the voltage, measured across the thermocouple indicates $10.0$ $mV$ at $t=1.0$ $s$, then the temperature of the molten metal in $^\circ{C}$ is _____________.
The hot junction of a bare thermocouple, initially at room temperature $(30^\circ{C})$, is suddenly dipped in molten metal at $t=0$ $s$. The cold junction is kept at room...
asked
Nov 2, 2020
Others
gate2017-in
numerical-answers
+
–
0
votes
0
answers
85
GATE2017: 50
A resistance temperature detector $(RTD)$ is connected to a circuit, as shown in the figure. Assume the opamp to be ideal. If $V_\circ=+2.0$ $V$, then the value of $x$ is _______________.
A resistance temperature detector $(RTD)$ is connected to a circuit, as shown in the figure. Assume the opamp to be ideal. If $V_\circ=+2.0$ $V$, then the value of $x$ is...
asked
Nov 2, 2020
Others
gate2017-in
numerical-answers
+
–
0
votes
0
answers
86
GATE2017: 51
The magnetic flux density of an electromagnetic flowmeter is $100\;mWb/m^2$. The electrodes are wall-mounted inside the pipe having a diameter of $0.25\;m$. A voltage of $1\;V$ is generated when a conducting fluid is passed through the flowmeter. The volumetric flowrate of the fluid in $m^3/s$ is _________________.
The magnetic flux density of an electromagnetic flowmeter is $100\;mWb/m^2$. The electrodes are wall-mounted inside the pipe having a diameter of $0.25\;m$. A voltage of ...
asked
Nov 2, 2020
Others
gate2017-in
numerical-answers
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–
0
votes
0
answers
87
GATE2017: 52
The junction semiconductor temperature sensor shown in the figure is used to measure the temperature of hot air. The output voltage $V_\circ$ is $2.1\;V$. The current output of the sensor is given by $I=T\;\mu{A}$ where $T$ is the temperature in $K$. Assuming the opamp to be ideal, the temperature of the hot air in $^\circ{C}$ is approximately _____________.
The junction semiconductor temperature sensor shown in the figure is used to measure the temperature of hot air. The output voltage $V_\circ$ is $2.1\;V$. The current out...
asked
Nov 2, 2020
Others
gate2017-in
numerical-answers
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–
0
votes
0
answers
88
GATE2017: 53
Quantum efficiency of a photodiode (ratio between the number of liberated electrons and the number of incident photons) is $0.75$ at $830\;nm$. Given Planck’s constant $h=6.624\times10^{-34}J$, the charge of an electron $e=1.6\times10^{-19}C$ and the velocity of light in the photodiode $C_m=2\times10^8\;m/s$. For an incident optical power of $100 \;\mu W$ at $\text{830 nm}$, the photocurrent in $\mu A$ is ________________ .
Quantum efficiency of a photodiode (ratio between the number of liberated electrons and the number of incident photons) is $0.75$ at $830\;nm$. Given Planck’s constant ...
asked
Nov 2, 2020
Others
gate2017-in
numerical-answers
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–
0
votes
0
answers
89
GATE2017: 54
In a sinusoidal amplitude modulation scheme (with carrier) the modulated signal is given by $A_m(t)=100\cos(\omega_ct) +50\cos(\omega_mt)\cos(\omega_ct)$, where $\omega_c$ is the carrier frequency and $\omega_m$ is the modulation frequency. The power carried by the sidebands in $\%$ of total power is _______________$\%$.
In a sinusoidal amplitude modulation scheme (with carrier) the modulated signal is given by $A_m(t)=100\cos(\omega_ct) +50\cos(\omega_mt)\cos(\omega_ct)$, where $\omega_c...
asked
Nov 2, 2020
Others
gate2017-in
numerical-answers
+
–
0
votes
0
answers
90
GATE2017: 55
An angle modulated signal with carrier frequency $\omega_c=2\pi\times10^6\;rad/s$ is given by $\varphi_m(t)=\cos(\omega_ct+5\sin(1000\pi t)+10\sin(2000\pi t))$. The maximum deviation of the frequency in the angle modulated signal from that of the carrier is _______________$kHz$.
An angle modulated signal with carrier frequency $\omega_c=2\pi\times10^6\;rad/s$ is given by $\varphi_m(t)=\cos(\omega_ct+5\sin(1000\pi t)+10\sin(2000\pi t))$. The maxim...
asked
Nov 2, 2020
Others
gate2017-in
numerical-answers
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–
0
votes
0
answers
91
GATE2017: 56
The event would have been successful if you____________able to come. $are$ $had\;been$ $have\;been$ $would\;have\;been$
The event would have been successful if you____________able to come.$are$$had\;been$$have\;been$$would\;have\;been$
asked
Nov 2, 2020
Verbal Aptitude
gate2017-in
verbal-ability
english-grammar
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0
votes
0
answers
92
GATE2017: 57
There was no doubt that their work was $\underline{thorough}$. Which of the words below is closest in meaning to the underlined word above? pretty complete sloppy haphazard
There was no doubt that their work was $\underline{thorough}$.Which of the words below is closest in meaning to the underlined word above?prettycompletesloppyhaphazard
asked
Nov 2, 2020
Verbal Aptitude
gate2017-in
verbal-ability
word-meaning
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–
0
votes
0
answers
93
GATE2017: 58
Four cards lie on a table. Each card has a number printed on one side and a colour on the other. The faces visible on the cards are $2,\;3,\;red,\;and\;blue$. Proposition: If a card has an even value on one side. then its opposite face is red. The cards which MUST be turned over to verify the above proposition are $\text{2, red}$ $\text{2, 3, red}$ $\text{2, blue}$ $\text{2, red, blue}$
Four cards lie on a table. Each card has a number printed on one side and a colour on the other. The faces visible on the cards are $2,\;3,\;red,\;and\;blue$.Proposition:...
asked
Nov 2, 2020
Analytical Aptitude
gate2017-in
analytical-aptitude
logical-reasoning
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0
votes
0
answers
94
GATE2017: 59
What is the value of $x$ when $81\times\left(\frac{16}{25}\right)^{x+2}\div\left(\frac{3}{5}\right)^{2x+4}=144$ ? $1$ $-1$ $-2$ Cannot be determined
What is the value of $x$ when $81\times\left(\frac{16}{25}\right)^{x+2}\div\left(\frac{3}{5}\right)^{2x+4}=144$ ?$1$$-1$$-2$Cannot be determined
asked
Nov 2, 2020
Quantitative Aptitude
gate2017-in
numerical-ability
ratio-proportion
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–
0
votes
0
answers
95
GATE2017: 60
Two dice are thrown simultaneously. The probability that the product of the numbers appearing on the top faces of the dice is a perfect square is $\frac{1}{9}$ $\frac{2}{9}$ $\frac{1}{3}$ $\frac{4}{9}$
Two dice are thrown simultaneously. The probability that the product of the numbers appearing on the top faces of the dice is a perfect square is$\frac{1}{9}$$\frac{2}{9}...
asked
Nov 2, 2020
Quantitative Aptitude
gate2017-in
numerical-ability
probability
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0
votes
0
answers
96
GATE2017: 61
Bhaichung was observing the pattern of people entering and leaving a car service centre. There was a single window where customers were being served. He saw that people inevitably came out of the centre in the order that they went in. However, the time they spent inside seemed to vary a lot: some people came out in ... likely to operate on a last-come-first-served basis. Entering the centre early ensured that one would have shorter service times and most people attempted to do this.
Bhaichung was observing the pattern of people entering and leaving a car service centre. There was a single window where customers were being served. He saw that people i...
asked
Nov 2, 2020
Verbal Aptitude
gate2017-in
verbal-ability
verbal-reasoning
passage-reading
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–
0
votes
0
answers
97
GATE2017: 62
A map shows the elevations of Darjeeling, Gangtok, Kalimpong, Pelling, and Siliguri. Kalimpong is at a lower elevation than Gangtok, Pelling is at a lower elevation than Gangtok. Pelling is at a higher elevation than Siliguri. Darjeeling is at a higher elevation than Gangtok. Which of the following statements can be inferred from the ... is at a higher elevation than Siliguri Siliguri is at a lower elevation than Gangtok Only ii Only ii and iii Only ii and iv Only iii and iv
A map shows the elevations of Darjeeling, Gangtok, Kalimpong, Pelling, and Siliguri. Kalimpong is at a lower elevation than Gangtok, Pelling is at a lower elevation than ...
asked
Nov 2, 2020
Verbal Aptitude
gate2017-in
verbal-ability
verbal-reasoning
passage-reading
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–
0
votes
0
answers
98
GATE2017: 63
$P,\;Q,\;R,\;S,\;T\;and\;U$ are seated around a circular table, $R$ is seated two places to the right of $Q,P$ is seated three places to the left of $R,S$ is seated opposite $U$. If $P$ and $U$ now switch seats, which of the following must necessarily be true? $P$ is immediately to the right of $R$ $T$ is immediately to the ... $P$ or $P$ is immediately to the right of $Q$ $U$ is immediately to the right of $R$ or $P$ is immediately to the left of $T$
$P,\;Q,\;R,\;S,\;T\;and\;U$ are seated around a circular table, $R$ is seated two places to the right of $Q,P$ is seated three places to the left of $R,S$ is seated oppos...
asked
Nov 2, 2020
Analytical Aptitude
gate2017-in
analytical-aptitude
logical-reasoning
round-table-arrangement
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–
0
votes
0
answers
99
GATE2017: 64
Budhan covers a distance of $\text{19 km}$ in $2$ hours by cycling one fourth of the time and walking the rest. The next day he cycles (at the same speed as before) for half the time and walks the rest (at the same speed as before) and covers $\text{26 km}$ in $2$ hours. The speed in $\text{km/h}$ at which Budhan walks is $1$ $4$ $5$ $6$
Budhan covers a distance of $\text{19 km}$ in $2$ hours by cycling one fourth of the time and walking the rest. The next day he cycles (at the same speed as before) for h...
asked
Nov 2, 2020
Quantitative Aptitude
gate2017-in
numerical-ability
speed-time-distance
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–
0
votes
0
answers
100
GATE2017: 65
The points in the graph below represent the halts of a lift for durations of $1$ minute, over a period of $1$ hour. Which of the following statements are correct? The elevator never moves directly from any non-ground floor to another non-ground floor over the one hour period The elevator stays on the fourth floor for the longest duration over the one hour period Only i Only ii Both i and ii Neither i nor ii
The points in the graph below represent the halts of a lift for durations of $1$ minute, over a period of $1$ hour.Which of the following statements are correct?The eleva...
asked
Nov 2, 2020
Quantitative Aptitude
gate2017-in
numerical-ability
data-interpretation
graphical-data
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–
0
votes
0
answers
101
GATE2017: 21
A current waveform, $i(t)$, shown in the figure, is passed through a Permanent Magnet Moving Coil $(PMMC)$ type ammeter. The reading of the ammeter up to two decimal places is $-0.25\;A$ $-0.12\;A$ $0.37\;A$ $0.5\;A$
A current waveform, $i(t)$, shown in the figure, is passed through a Permanent Magnet Moving Coil $(PMMC)$ type ammeter. The reading of the ammeter up to two decimal plac...
asked
Nov 2, 2020
Others
gate2017-in
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0
votes
0
answers
102
GATE2017: 22
Identify the instrument that does not exist: Dynamometer-type ammeter Dynamometer-type wattmeter Moving-iron voltmeter Moving-iron wattmeter
Identify the instrument that does not exist:Dynamometer-type ammeter Dynamometer-type wattmeterMoving-iron voltmeterMoving-iron wattmeter
asked
Nov 2, 2020
Others
gate2017-in
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–
0
votes
0
answers
103
GATE2017: 23
The most suitable pressure gauge to measure pressure in the range of $10^{-4}$ to $10^{-3}$ $\text{torr}$ is Bellows Barometer Strain gauge Pirani gauge
The most suitable pressure gauge to measure pressure in the range of $10^{-4}$ to $10^{-3}$ $\text{torr}$ is BellowsBarometerStrain gaugePirani gauge
asked
Nov 2, 2020
Others
gate2017-in
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–
0
votes
0
answers
104
GATE2017: 24
The standard for long distance analog signal transmission in process control industry is $\text{4-20 mV}$ $\text{0-20 mA}$ $\text{4-20 mA}$ $\text{0-5 V}$
The standard for long distance analog signal transmission in process control industry is $\text{4-20 mV}$$\text{0-20 mA}$$\text{4-20 mA}$$\text{0-5 V}$
asked
Nov 2, 2020
Others
gate2017-in
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–
0
votes
0
answers
105
GATE2017: 25
The pressure drop across an orifice plate for a particular flow rate is $5\;Kg/m^2$. If the flow rate is doubled (within the operating range of the orifice), the corresponding pressure drop in $Kg/m^2$ is $2.5$ $5.0$ $20.0$ $25.0$
The pressure drop across an orifice plate for a particular flow rate is $5\;Kg/m^2$. If the flow rate is doubled (within the operating range of the orifice), the correspo...
asked
Nov 2, 2020
Others
gate2017-in
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–
0
votes
0
answers
106
GATE2017: 26
The probability that a communication system will have high fidelity is $0.81$. The probability that the system will have both high fidelity and high selectivity is $0.18$. The probability that a given system with high fidelity will have high selectivity is $0.181$ $0.191$ $0.222$ $0.826$
The probability that a communication system will have high fidelity is $0.81$. The probability that the system will have both high fidelity and high selectivity is $0.18$...
asked
Nov 2, 2020
Others
gate2017-in
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–
0
votes
0
answers
107
GATE2017: 27
The angle between two vectors $X_1=\begin{bmatrix}2 & 6 & 14\end{bmatrix}^T$ and $X_2=\begin{bmatrix}-12 & 8 & 16\end{bmatrix}^T$ in radian is __________.
The angle between two vectors $X_1=\begin{bmatrix}2 & 6 & 14\end{bmatrix}^T$ and $X_2=\begin{bmatrix}-12 & 8 & 16\end{bmatrix}^T$ in radian is __________.
asked
Nov 2, 2020
Calculus
gate2017-in
numerical-answers
calculus
vector-identities
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–
0
votes
0
answers
108
GATE2017: 28
The following table lists an $n^{th}$ order polynominal $f(x)=a_nx^n+a_{n-1}x^{n-1}+...+a_1x+a_0$ and the forward differences evaluated at equally spaced values of $x$. The order of the polynominal is $1$ $2$ $3$ $4$
The following table lists an $n^{th}$ order polynominal $f(x)=a_nx^n+a_{n-1}x^{n-1}+...+a_1x+a_0$ and the forward differences evaluated at equally spaced values of $x$. T...
asked
Nov 2, 2020
Numerical Methods
gate2017-in
numerical-methods
polynominals
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–
0
votes
0
answers
109
GATE2017: 29
The current response of a series $\text R-L$ circuit to a unit step voltage is given in the table. The value of $L$ is __________$H$.
The current response of a series $\text R-L$ circuit to a unit step voltage is given in the table. The value of $L$ is __________$H$.
asked
Nov 2, 2020
Others
gate2017-in
+
–
0
votes
0
answers
110
GATE2017: 30
For the circuit, shown in the figure, the total real power delivered by the source to the loads is _____________$\text{kW}$.
For the circuit, shown in the figure, the total real power delivered by the source to the loads is _____________$\text{kW}$.
asked
Nov 2, 2020
Others
gate2017-in
numerical-answers
+
–
0
votes
0
answers
111
GATE2017: 1
If $\text{v}$ is a non-zero vector of dimensions $3\times1$, then the matrix $A=VV^T$ has a rank = ____________.
If $\text{v}$ is a non-zero vector of dimensions $3\times1$, then the matrix $A=VV^T$ has a rank = ____________.
asked
Nov 1, 2020
Linear Algebra
gate2017-in
numerical-answers
linear-algebra
matrices
rank-of-matrix
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–
0
votes
0
answers
112
GATE2017: 2
The figure shows a shape $\text ABC$ and its mirror image $\text A_1B_1C_1$ across the horizontal axis $\text (X-axis)$. The coordinate transformation matrix that maps $\text ABC$ to $\text A_1B_1C_1$ is $\begin{bmatrix}0&1\\1 &0\end{bmatrix}$ $\begin{bmatrix}0 &1\\-1 &0\end{bmatrix}$ $\begin{bmatrix}-1 &0\\0 &1\end{bmatrix}$ $\begin{bmatrix}1 &0\\0 &-1\end{bmatrix}$
The figure shows a shape $\text ABC$ and its mirror image $\text A_1B_1C_1$ across the horizontal axis $\text (X-axis)$. The coordinate transformation matrix that maps $\...
asked
Nov 1, 2020
Linear Algebra
gate2017-in
linear-algebra
matrices
matrix-algebra
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–
0
votes
0
answers
113
GATE2017: 3
Let $z=x+jy$ where $j=\sqrt{-1}$. Then $\overline{\cos z}$ = $\cos z$ $cos\overline{z}$ $\sin z$ $\sin\overline{z}$
Let $z=x+jy$ where $j=\sqrt{-1}$. Then $\overline{\cos z}$ =$\cos z$$cos\overline{z}$$\sin z$$\sin\overline{z}$
asked
Nov 1, 2020
Analysis of complex variables
gate2017-in
analysis-of-complex-variables
complex-number
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–
0
votes
0
answers
114
GATE2017: 4
The eigenvalues of the matrix $A=\begin{bmatrix}1 &-1 &5\\0 &5 &6\\0 &-6 &5\end{bmatrix}$ are $-1,\;5,\;6$ $1,\;-5\pm j6$ $1,\;5\pm j6$ $1,\;5,\;5$
The eigenvalues of the matrix $A=\begin{bmatrix}1 &-1 &5\\0 &5 &6\\0 &-6 &5\end{bmatrix}$ are$-1,\;5,\;6$$1,\;-5\pm j6$$1,\;5\pm j6$$1,\;5,\;5$
asked
Nov 1, 2020
Linear Algebra
gate2017-in
linear-algebra
matrices
eigen-values
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–
0
votes
0
answers
115
GATE2017: 5
For a first order lowpass filter with unity $\text {d.c}$. gain and $-3\;\text {dB}$ corner frequency of $2000\pi \:\text {rad/s}$,the transfer function $H(j\omega)$ is $\frac{1}{1000+j\omega}$ $\frac{1}{1+j1000\omega}$ $\frac{2000\pi}{2000\pi+j\omega}$ $\frac{1000\omega}{1+j1000\omega}$
For a first order lowpass filter with unity $\text {d.c}$. gain and $-3\;\text {dB}$ corner frequency of $2000\pi \:\text {rad/s}$,the transfer function $H(j\omega)$ is $...
asked
Nov 1, 2020
Others
gate2017-in
+
–
0
votes
0
answers
116
GATE2017: 6
A series $\text {R-L-C}$ circuit is excited with a $50\;\text{V}$, $50\;\text{Hz}$ sinusoidal source. The voltages across the resistance and the capacitance are shown in the figure. The voltage across the inductor $\text(V_L)$ is ___________$\text{V}$.
A series $\text {R-L-C}$ circuit is excited with a $50\;\text{V}$, $50\;\text{Hz}$ sinusoidal source. The voltages across the resistance and the capacitance are shown in ...
asked
Nov 1, 2020
Others
gate2017-in
numerical-answers
+
–
0
votes
0
answers
117
GATE2017: 7
The connection of two 2-port networks is shown in the figure. The $\text{ABCD}$ parameters of $N1$ and $N2$ ... $\begin{bmatrix}1 &2\\0.5 &1\end{bmatrix}$ $\begin{bmatrix}5 &2\\0.5 &1\end{bmatrix}$ $\begin{bmatrix}1 &2\\0.5 &5\end{bmatrix}$
The connection of two 2-port networks is shown in the figure. The $\text{ABCD}$ parameters of $N1$ and $N2$ networks are given as $$\begin{bmatrix}A &B\\C &D\end{bmatrix}...
asked
Nov 1, 2020
Others
gate2017-in
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–
0
votes
0
answers
118
GATE2017: 8
A circuit consisting of dependent and independent sources is shown in the figure. If the voltage at $\text{Node-1}$ is $-1\;\text{V}$, then the voltage at $\text{Node-2}$ is _____________ $\text{V}$.
A circuit consisting of dependent and independent sources is shown in the figure. If the voltage at $\text{Node-1}$ is $-1\;\text{V}$, then the voltage at $\text{Node-2}$...
asked
Nov 1, 2020
Others
gate2017-in
numerical-answers
+
–
0
votes
0
answers
119
GATE2017: 9
A periodic signal $\text{x(t)}$ is shown in the figure. The fundamental frequency of the signal $\text{x(t)}$ in $\text Hz$ is ____________.
A periodic signal $\text{x(t)}$ is shown in the figure. The fundamental frequency of the signal $\text{x(t)}$ in $\text Hz$ is ____________.
asked
Nov 1, 2020
Others
gate2017-in
numerical-answers
+
–
0
votes
0
answers
120
GATE2017: 10
A system is described by the following differential equation: $\frac {dy(t)}{dt}+2y(t)=\frac {dx(t)}{dt}+x(t),\;x(0)=y(0)=0$ where $\text{x(t)}$ and $\text{y(t)}$ are the input and output variables respectively. The transfer function of the inverse system is $\frac {s+1}{s-2}$ $\frac {s+2}{s+1}$ $\frac{s+1}{s+2}$ $\frac {s-1}{s-2}$
A system is described by the following differential equation:$\frac {dy(t)}{dt}+2y(t)=\frac {dx(t)}{dt}+x(t),\;x(0)=y(0)=0$where $\text{x(t)}$ and $\text{y(t)}$ are the i...
asked
Nov 1, 2020
Differential equations
gate2017-in
differential-equations
+
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