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963
GATE Electrical 2015 Set 2 | Question: 26
The volume enclosed by the surface $f(x, y) = e^{x}$ over the triangle bounded by the lines $x = y; x = 0; y = 1$ in the $xy$ plane is ________.
The volume enclosed by the surface $f(x, y) = e^{x}$ over the triangle bounded by the lines $x = y; x = 0; y = 1$ in the $xy$ plane is ________.
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964
GATE Electrical 2015 Set 2 | Question: 5
Match the following: ... $P-1; Q-3; R-1; S-2$ $P-1; Q-2; R-3; S-3$ $P-3; Q-1; R-2; S-1$
Match the following:$\begin{array}{|l|l|l|l|} \hline & \textbf{Instrument Type} & & \textbf{Used for} \\ \hline P. & \text{Permanent magnet moving coil} & 1. & \text{DC...
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965
GATE Electrical 2015 Set 2 | Question: 11
The operational amplifier shown in the figure is ideal. The input voltage (in Volt) is $V_{i} = 2 \sin(2\pi \times 2000t)$. The amplitude of the output voltage $V_{o}$ (in Volt) is ________.
The operational amplifier shown in the figure is ideal. The input voltage (in Volt) is $V_{i} = 2 \sin(2\pi \times 2000t)$. The amplitude of the output voltage $V_{o}$ (i...
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967
GATE Electrical 2015 Set 2 | Question: 3
Match the following. ... $P-4; Q-1; R-3; S-2$ $P-4; Q-3; R-1; S-2$ $P-3; Q-4; R-2; S-1$
Match the following.$\begin{array}{|l|l|l|l|} \hline P. & \text{Stokes’s Theorem} & 1. & ∯ D.ds = Q \\ \hline Q. & \text{Gauss’s Theorem} & 2. & \oint f(z) dz =0 \\...
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968
GATE Electrical 2015 Set 2 | Question: 12
In the following circuit, the transistor is in active mode and $V_{C} = 2 V$. To get $V_{C} = 4 V$, we replace $R_{C}$ with $R′_{C}$. Then the ratio $R'_{C}$/ $R_{C}$ is _________.
In the following circuit, the transistor is in active mode and $V_{C} = 2 V$. To get $V_{C} = 4 V$, we replace $R_{C}$ with $R′_{C}$. Then the ratio $R'_{C}$/ $R_{C}$ i...
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969
GATE Electrical 2015 Set 2 | Question: 4
The Laplace transform of $f(t)= 2\sqrt{t/\pi}$ is $s^{-3/2}$. The Laplace transform of $g(t)=\sqrt{1/\pi t}$ is. $3s^{-5/2} /2$ $s^{-1/2}$ $s^{1/2}$ $s^{3/2}$
The Laplace transform of $f(t)= 2\sqrt{t/\pi}$ is $s^{-3/2}$. The Laplace transform of $g(t)=\sqrt{1/\pi t}$ is.$3s^{-5/2} /2$$s^{-1/2}$$s^{1/2}$$s^{3/2}$
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971
GATE Electrical 2015 Set 2 | Question: 9
Two semi-infinite dielectric regions are separated by a plane boundary at $y = 0$. The dielectric constants of region $1 (y < 0)$ and region $2 (y > 0)$ are $2$ and $5$, respectively. Region $1$ ... $3\hat{a}_{x}+10\hat{a}_{y}+0.8\hat{a}_{z}$
Two semi-infinite dielectric regions are separated by a plane boundary at $y = 0$. The dielectric constants of region $1 (y < 0)$ and region $2 (y 0)$ are $2$ and $5$, r...
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973
GATE Electrical 2015 Set 2 | Question: 8
In the following circuit, the input voltage $V_{in}$ is $100 \sin(100 \pi t)$. For $100 \pi RC = 50$, the average voltage across $R$ (in Volts) under steady-state is nearest to $100$ $31.8$ $200$ $63.6$
In the following circuit, the input voltage $V_{in}$ is $100 \sin(100 \pi t)$. For $100 \pi RC = 50$, the average voltage across $R$ (in Volts) under steady-state is near...
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978
GATE Electrical 2015 Set 2 | GA Question: 7
In a triangle $PQR$, $PS$ is the angle bisector of $\angle QPR$ and $\angle QPS =60^\circ$. What is the length of $PS$ ? $\dfrac{(q+r)}{qr} \\$ $\dfrac{qr}{(q+r)} \\$ $\sqrt{(q^{2}+r^{2})} \\$ $\dfrac{(q+r)^{2}}{qr}$
In a triangle $PQR$, $PS$ is the angle bisector of $\angle QPR$ and $\angle QPS =60^\circ$. What is the length of $PS$ ?$\dfrac{(q+r)}{qr} \\$$\dfrac{qr}{(q+r)} \\$$\sqrt...
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981
GATE Electrical 2015 Set 2 | GA Question: 5
Consider a function $f(x) = 1 - |x|$ on $-1 \leq x \leq 1$. The value of $x$ at which the function attains a maximum, and the minimum value of the function are: $0, -1$ $-1, 0$ $0, 1$ $-1, 2$
Consider a function $f(x) = 1 - |x|$ on $-1 \leq x \leq 1$. The value of $x$ at which the function attains a maximum, and the minimum value of the function are:$0, -1$$-1...
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985
GATE Electrical 2015 Set 2 | GA Question: 2
Choose the statement where underlined word is used correctly. The industrialist had a personnel jet. I write my experience in my personnel diary. All personnel are being given the day off. Being religious is a personnel aspect.
Choose the statement where underlined word is used correctly.The industrialist had a personnel jet.I write my experience in my personnel diary.All personnel are being giv...
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986
GATE Electrical 2015 Set 2 | GA Question: 1
We _________ our friend's birthday and we ________ how to make it up to him. Completely forgot -- don't just know Forgot completely -- don't just know Completely forgot -- just don't know Forgot completely -- just don't know
We _________ our friend's birthday and we ________ how to make it up to him.Completely forgot don't just knowForgot completely don't just knowCompletely forgot just...
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994
GATE Electrical 2015 Set 1 | Question: 42
Determine the correctness or otherwise of the following Assertion $[a]$ and the Reason $[r]$ ... $[a]$ and $[r]$ are false. $[a]$ is false and $[r]$ is true.
Determine the correctness or otherwise of the following Assertion $[a]$ and the Reason $[r]$.Assertion: Fast decoupled load flow method gives approximate load flow soluti...
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995
GATE Electrical 2015 Set 1 | Question: 47
In the given circuit, the parameter $k$ is positive, and the power dissipated in the $2 \Omega$ resistor is $12.5$W. The value of $k$ is _________.
In the given circuit, the parameter $k$ is positive, and the power dissipated in the $2 \Omega$ resistor is $12.5$W. The value of $k$ is _________.
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