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Recent questions tagged gate2017ee1
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GATE20171GA10
A contour line joins locations having the same height above the mean sea level. The following is a contour plot of a geographical region. Contour lines are shown at $25$m intervals in this plot. If in a flood, the water level rises to $525$m, which of the villages $P, Q, R, S, T$ get submerged? $P, Q$ $P, Q, T$ $R, S, T$ $Q, R, S$
asked
Feb 27, 2017
in
Numerical Ability
by
Arjun
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5.4k
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gate2017ee1
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2
GATE20171GA9
Arun, Gulab, Neel and Shweta must choose one shirt each from a pile of four shirts coloured Red, Pink, Blue and White respectively. Arun dislikes the colour red and Shweta dislikes the colour white. Gulab and Neel like all the colours. In how many different ways can they choose the shirts so that no one has a shirt with a colour he or she dislikes? $21$ $18$ $16$ $14$
asked
Feb 27, 2017
in
Numerical Ability
by
Arjun
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5.4k
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gate2017ee1
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3
GATE20171GA8
The expression $\frac{(x+y)xy}{2}$ is equal to The maximum of $x$ and $y$ The minimum of $x$ and $y$ $1$ None of the above.
asked
Feb 27, 2017
in
Numerical Ability
by
Arjun
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5.4k
points)
gate2017ee1
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votes
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4
GATE20171GA7
Six people are seated around a circular table. There are at least two men and two women. There are at least three righthanded persons. Every women has a lefthanded person to her immediate right. None of the women are righthanded. The number of women at the table is $2$ $3$ $4$ Cannot be determined.
asked
Feb 27, 2017
in
Numerical Ability
by
Arjun
(
5.4k
points)
gate2017ee1
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5
GATE20171GA6
"The hold of the nationalist imagination on our colonial past is such that anything inadequately or improperly nationalist is just not history." Which of the following statements best reflects the author's opinion? Nationalists are highly ... the filter of nationalism. Our colonial past never happened. Nationalism has to be both adequately and properly imagined.
asked
Feb 27, 2017
in
Verbal Ability
by
Arjun
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5.4k
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gate2017ee1
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votes
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6
GATE20171GA5
The probability that a $k$digit number does NOT contain the digits $0, 5$ or $9$ is $0.3^{k}$ $0.6^{k}$ $0.7^{k}$ $0.9^{k}$
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Feb 27, 2017
in
Numerical Ability
by
Arjun
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5.4k
points)
gate2017ee1
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votes
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7
GATE20171GA4
Find the smallest number $y$ such that $y \times 162$ is a perfect cube. $24$ $27$ $32$ $36$
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Feb 27, 2017
in
Numerical Ability
by
Arjun
(
5.4k
points)
gate2017ee1
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votes
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8
GATE20171GA3
Rahul, Murali, Srinivas and Arul are seated around a square table. Rahul is sitting to the left of Murali. Srinivas is sitting to the right of Arul. Which of the following pairs are seated opposite each other? Rahul and Murali Srinivas and Arul Srinivas and Murali Srinivas and Rahul
asked
Feb 27, 2017
in
Numerical Ability
by
Arjun
(
5.4k
points)
gate2017ee1
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votes
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9
GATE20171GA2
Research in the workplace reveals that people work for many reasons ________. Money beside Beside money Money besides Besides money
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Feb 27, 2017
in
Verbal Ability
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Arjun
(
5.4k
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gate2017ee1
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10
GATE20171GA1
After Rajendra Chola returned from his voyage to Indonesia, he ________ to visit the temple in Thanjavur. Was wishing Is wishing Wished Had wished
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Feb 27, 2017
in
Verbal Ability
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Arjun
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5.4k
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gate2017ee1
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11
GATE2017155
The figure shows the single line diagram of a power system with a double circuit transmission line. The expression for electrical power is $1.5 \sin \delta$, where $\delta$ is the rotor angle. The system is operating at the stable equilibrium point with mechanical power equal to ... $P_{\max}$, in pu is ______. (Give the answer up to three decimal places.)
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Feb 27, 2017
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Arjun
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5.4k
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gate2017ee1
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12
GATE2017154
The positive, negative, and zero sequence reactances of a wyeconnected synchronous generator are $0.2$pu, $0.2$pu, and $0.1$pu, respectively. The generator is an open circuit with a terminal voltage of $1$pu. The minimum value of the inductive ... ground fault occurs at the terminals is ___________ (assume fault impedance to be zero). (Give the answer up to one decimal place.)
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Feb 27, 2017
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Others
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Arjun
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5.4k
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gate2017ee1
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13
GATE2017153
The figure below shows an uncontrolled diode bridge rectifier supplied from a $220$V, $50$Hz, $I$phase ac source. The load draws a constant current $I_{0}=14A$. The conduction angle of the diode $D_{1}$ in degrees (rounded off to two decimal places) is _______.
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Feb 27, 2017
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Arjun
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5.4k
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gate2017ee1
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14
GATE2017152
The circuit shown in the figure uses matched transistors with a thermal voltage $V_{T}=25$m V. The base currents of the transistors are negligible. The value of the resistance $R$ in $k\Omega$ that is required to provide $1 \mu A$ bias current for the differential amplifier block shown is ________.(Give the answer up to one decimal place.)
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Feb 27, 2017
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Arjun
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5.4k
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gate2017ee1
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15
GATE2017151
Consider a causal and stable $LTI$ system with rational transfer function $H(z)$, whose corresponding impulse response begins at $n=0$. Furthermore, $H(1)=\frac{5}{4}$. The poles of $H(z)$ are $p_{k}=\frac{1}{\sqrt{2}} \text{exp}(j\frac{(2k1)\pi}{4})$ ... all at $z=0$. Let $g[n]=j^{n}h[n]$. The value of $g[8]$ equals __________. (Give the answer up to three decimal places.)
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Feb 27, 2017
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Arjun
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5.4k
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gate2017ee1
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16
GATE2017150
For a system having transfer function $G(s)=\frac{s+1}{s+1}$, a unit step input is applied at time $t=0$. The value of the response of the system at $t=1.5 sec$ (rounded off to three decimal places) is ________.
asked
Feb 27, 2017
in
Others
by
Arjun
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5.4k
points)
gate2017ee1
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17
GATE2017149
A separately excited $DC$ generator supplies $150$A to a $145$V DC grid. The generator is running at $800$RPM. The armature resistance of the generator is $0.1\Omega$. If the speed of the generator is increased to $1000$ RPM, the current in amperes supplied by the generator to the $DC$ grid is ______. (Give the answer up to one decimal place.)
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Feb 27, 2017
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by
Arjun
(
5.4k
points)
gate2017ee1
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18
GATE2017148
A threephase, three winding $\Delta / \Delta / Y (1.1kV/6.6kV/400V)$ transformer is energized from $AC$ mains at the $1.1kV$ side. It supplies $900kVA$ load at $0.8$ power factor lag from the $6.6kV$ winding and $300kVA$ load at $0.6$ power factor ... . The $RMS$ line current in ampere drawn by the $1.1kV$ winding from the mains is ________. (Give the answer up to one decimal place.)
asked
Feb 27, 2017
in
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by
Arjun
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5.4k
points)
gate2017ee1
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votes
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19
GATE2017147
A $220$V DC series motor runs drawing a current of $30$ A from the supply. Armature and field circuit resistances are $0.4\Omega$ and $0.1\Omega$, respectively. The load torque varies as the square of the speed. The flux in the motor may be taken as ... %, the resistance in ohms that should be added in series with the armature is ______. (Give the answer up to two decimal places.)
asked
Feb 27, 2017
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Arjun
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5.4k
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gate2017ee1
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20
GATE2017146
Two parallel connected, threephase, $50$Hz, $11$kV, starconnected synchronous machines $A$ and $B$, are operating as synchronous condensers. They together supply $50$MVAR to a $11$kV grid. Current supplied by both the machines are equal. Synchronous reactances of ... of excitation current of machine $A$ to that of machine $B$ is _______. (Give the answer up to two decimal places.)
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Feb 27, 2017
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Arjun
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5.4k
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gate2017ee1
0
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21
GATE2017144
The magnitude of magnetic flux density (B) in micro Teslas $(\mu T)$, at the centre of a loop of wire wound as a regular hexagon of side length $1 m$ carrying a current $(I=1 A)$, and placed in vacuum as shown in the figure is _________. (Give the answer up to two decimal places.)
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Feb 27, 2017
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Others
by
Arjun
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5.4k
points)
gate2017ee1
0
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22
GATE2017145
A $375$W, $230$V, $50$Hz, capacitor start singlephase induction motor has the following constants for the main and auxiliary windings (at starting): $Z_{m}=(12.50+j15.75) \Omega$ (main winding), $Z_{a}=(24.50+j12.75) \Omega$ (auxiliary ... the value of the capacitance (in $\mu F$) to be added in series with the auxiliary winding to obtain maximum torque at starting is ________.
asked
Feb 27, 2017
in
Others
by
Arjun
(
5.4k
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gate2017ee1
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23
GATE2017143
In the circuit shown below, the maximum power transferred to the resistor $R$ is ______ W.
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Feb 27, 2017
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by
Arjun
(
5.4k
points)
gate2017ee1
0
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24
GATE2017142
Only one of the real roots of $f(x)=x^{6}x1$ lies in the interval $1 \leq x \leq 2$ and bisection method is used to find its value. For achieving an accuracy of $0.001$, the required minimum number of iterations is _________.
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Feb 27, 2017
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Arjun
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5.4k
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gate2017ee1
0
votes
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25
GATE2017141
The switch in the figure below was closed for a long time. It is opened at $t=0$. The current in the inductor of $2$H for $t \geq 0$, is $2.5e^{4t}$ $5e^{4t}$ $2.5e^{0.25t}$ $5e^{0.25t}$
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Feb 27, 2017
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Arjun
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5.4k
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gate2017ee1
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26
GATE2017135
The approximate transfer characteristic for the circuit shown below with an ideal operational amplifier and diode will be
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Feb 27, 2017
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by
Arjun
(
5.4k
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gate2017ee1
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votes
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27
GATE2017140
The bus admittance matrix for a power system network is $\begin{bmatrix} j39.9 & j20 & j20\\ j20 & j39.9 & j20 \\ j20 & j20 & j39.9 \end{bmatrix} pu.$ There is a transmission line, connected between buses $1$ and $3$, which is represented by ...
asked
Feb 27, 2017
in
Others
by
Arjun
(
5.4k
points)
gate2017ee1
0
votes
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answers
28
GATE2017139
A load is supplied by a $230$ V, $50$ Hz source. The active power $P$ and the reactive power $Q$ consumed by the load are such that $1kW \leq P \leq 2kW$ and $1kVAR \leq Q \leq 2kVAR$. A capacitor connected across the load for power factor correction generates ... The worst case power factor after power factor correction is $0.447 \text{lag}$ $0.707 \text{lag}$ $0.894 \text{lag}$ $1$
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Feb 27, 2017
in
new
by
Arjun
(
5.4k
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gate2017ee1
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votes
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answers
29
GATE2017138
The input voltage $V_{DC}$ of the buckboost converter shown below varies from $32$V to $72$V. Assume that all components are ideal, inductor current is continuous, and output voltage is ripple free. The range of duty ratio $D$ of the converter for which the magnitude of the steadystate output ... $0 \leq D \leq 1$ $\frac{1}{3}\leq D \leq \frac{2}{3}$
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Feb 27, 2017
in
new
by
Arjun
(
5.4k
points)
gate2017ee1
0
votes
0
answers
30
GATE2017137
The logical gate implemented using the circuit shown below where $V_{1}$ and $V_{2}$ are inputs (with $0$V as digital $0$ and $5$V as digital $1$) and $V_{out}$ is the output, is NOT NOR NAND XOR
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Feb 27, 2017
in
new
by
Arjun
(
5.4k
points)
gate2017ee1
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votes
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answers
31
GATE2017136
The output expression for the Karnaugh map shown below is $B \bar{D}+BCD$ $B \bar{D}+AB$ $\bar{B}D+ABC$ $B \bar{D}+ABC$
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Feb 27, 2017
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by
Arjun
(
5.4k
points)
gate2017ee1
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votes
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answers
32
GATE2017134
The load shown in the figure is supplied by a $400$V (linetoline), $3$phase source (RYB sequence). The load is balanced and inductive, drawing $3464$ VA. When the switch $S$ is in position $N$, the three wattmeters $W_{1}, W_{2},$ and $W_{3}$ read $577.35$W each. If the switch is moved to position $Y$, the readings of the wattmeters in watts will be:
asked
Feb 27, 2017
in
new
by
Arjun
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5.4k
points)
gate2017ee1
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votes
0
answers
33
GATE2017133
The transfer function of the system $Y(s)/U(s)$ ... $\frac{(s2)}{(s^{2}+s4)}$ $\frac{(s4)}{(s^{2}+s4)}$ $\frac{(s+4)}{(s^{2}s4)}$
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Feb 27, 2017
in
new
by
Arjun
(
5.4k
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gate2017ee1
0
votes
0
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34
GATE2017132
In the system whose signal flow graph is shown in the figure, $U_{1}(s)$ and $U_{2}(s)$ are inputs. The transfer function $\frac{Y(s)}{U_{1}(s)}$ is. $\frac{K_{1}}{J Ls^{2}+J Rs+K_{1}K_{2}}$ $\frac{K_{1}}{J Ls^{2}J RsK_{1}K_{2}}$ $\frac{K_{1}U_{2}(R+sL)}{J Ls^{2}+(J RU_{2}L)s+K_{1}K_{2}U_{2}R}$ $\frac{K_{1}U_{2}(sLR)}{J Ls^{2}(J R+U_{2}L)sK_{1}K_{2}+U_{2}R}$
asked
Feb 27, 2017
in
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by
Arjun
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5.4k
points)
gate2017ee1
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35
GATE2017131
Let the signal $x(t)=\sum_{k=\infty }^{+\infty } (1)^{k} \delta (t\frac{k}{2000})$ be passed through an LTI system with frequency response $H(\omega )$ ... $2000+2000\cos (2000 \pi t)+2000\cos (4000 \pi t)$ $4000\cos (2000 \pi t)$ $2000\cos (2000 \pi t)$
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Feb 27, 2017
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Arjun
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5.4k
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gate2017ee1
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36
GATE2017130
Let a causal LTI system be characterised by the following differential equation, with initial rest condition $\frac{d^{2}y}{dt^{2}}+7\frac{dy}{dt}+10y (t)=4x(t)+5\frac{dx(t)}{dt}$ where, $x(t)$ and $y(t)$ are the input and output respectively. The impulse response of the system is ($u(t)$ is the ... $2e^{2t}u(t)+7e^{5t}u(t)$ $7e^{2t}u(t)2e^{5t}u(t)$ $7e^{2t}u(t)+2e^{5t}u(t)$
asked
Feb 27, 2017
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by
Arjun
(
5.4k
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gate2017ee1
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37
GATE2017129
The passive twoport networks are connected in cascade as shown in figure. A voltage source is connected at port $1$. Given $V_{1}=A_{1}V_{2}+B_{1}I_{2}$ $I_{1}=C_{1}V_{2}+D_{1}I_{2}$ $V_{2}=A_{2}V_{3}+B_{2}I_{3}$ $I_{2}=C_{2}V_{3}+D_{2}I_{3}$ ... $V_{T}=\frac{V_{1}}{A_{1}A_{2}+B_{1}C_{2}}, Z_{T}=\frac{A_{1}B_{2}+B_{1}D_{2}}{A_{1}A_{2}+B_{1}C_{2}}$
asked
Feb 27, 2017
in
new
by
Arjun
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5.4k
points)
gate2017ee1
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38
GATE2017128
Consider the line integral $I=\int_{c} (x^{2}+iy^{2})dz$, where $z=x+iy$. The line $c$ is shown in the figure below. The value of $I$ is $\frac{1}{2}i$ $\frac{2}{3}i$ $\frac{3}{4}i$ $\frac{4}{5}i$
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Feb 27, 2017
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Others
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Arjun
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5.4k
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gate2017ee1
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39
GATE2017127
Consider the differential equation $(t^{2}81)\frac{dy}{dt}+5t y=\sin(t)$ with $y(1)=2 \pi$. There exists a unique solution for this differential equation when $t$ belongs to the interval (2, 2) (10, 10) (10, 2) (0, 10)
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Feb 27, 2017
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Arjun
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5.4k
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gate2017ee1
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40
GATE2017126
A function $f(x)$ is defined as $ f(x)= \begin{cases} e^{x},& x < 1 \\ \text{In} x+ax^{2}+bx,& x\geq1 \end{cases}$, where $x \in \mathbb{R}$ Which one of the following statement is TRUE? $f(x)$ is NOT differentiable at $x=1$ for any values of $a$ ... $x=1$ for all values of $a$ and $b$ such that $a+b=e$. $f(x)$ is differentiable at $x=1$ for all values of $a$ and $b$.
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Feb 27, 2017
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gate2017ee1
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