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3002
GATE ECE 2017 Set 2 | Question: 25
A two-wire transmission line terminates in a television set. The VSWR measured on the line is $5.8$. The percentage of power that is reflected from the television set is _________
A two-wire transmission line terminates in a television set. The VSWR measured on the line is $5.8$. The percentage of power that is reflected from the television set is ...
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3003
GATE ECE 2017 Set 2 | Question: 26
The values of the integrals $\int_{0}^{1}\left ( \int_{0}^{1}\frac{x-y}{(x+y)^3}dy \right )dx$ and $\int_{0}^{1}\left ( \int_{0}^{1}\frac{x-y}{(x+y)^3}dx \right )dy$ are same and equal to $0.5$ same and equal to $-0.5$ $0.5$ and $-0.5$, respectively $-0.5$ and $0.5$, respectively
The values of the integrals $$\int_{0}^{1}\left ( \int_{0}^{1}\frac{x-y}{(x+y)^3}dy \right )dx$$ and $$\int_{0}^{1}\left ( \int_{0}^{1}\frac{x-y}{(x+y)^3}dx \right )dy$$ ...
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3004
GATE ECE 2017 Set 2 | Question: 27
An integral $I$ over a counterclockwise circle $\textbf{C}$ is given by $I=\oint _c \frac{z^2-1}{z^2+1} e^z dz.$ If $\textbf{C}$ is defined as$\mid z \mid=3$ , then the value of $I$ is $-\pi i \sin(1)$ $- 2\pi i \sin(1)$ $-3\pi i \sin(1)$ $-4\pi i \sin(1)$
An integral $I$ over a counterclockwise circle $\textbf{C}$ is given by $$I=\oint _c \frac{z^2-1}{z^2+1} e^z dz.$$ If $\textbf{C}$ is defined as$\mid z \mid=3$ , then the...
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3005
GATE ECE 2017 Set 2 | Question: 28
If the vector function $\overrightarrow{F}=\widehat{a_x}(3y-k_1z)+\widehat{a_y}(k_2x-2z)-\widehat{a_z}(k_3y+z)$ is irrotational, then the values of the constants $k_1$,$k_2$ and $k_3$, respectively, are $0.3, -2.5, 0.5$ $0.0, 3.0, 2.0$ $0.3, 0.33, 0.5$ $4.0, 3.0, 2.0$
If the vector function $\overrightarrow{F}=\widehat{a_x}(3y-k_1z)+\widehat{a_y}(k_2x-2z)-\widehat{a_z}(k_3y+z)$ is irrotational, then the values of the constants $k_1$,$k...
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3007
GATE ECE 2017 Set 2 | Question: 30
The minimum value of the function $f(x)=\frac{1}{3} x(x^2-3)$ in the interval $-100≤x≤100$ occurs at $x =$ ________.
The minimum value of the function $f(x)=\frac{1}{3} x(x^2-3)$ in the interval $-100≤x≤100$ occurs at $x =$ ________.
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3009
GATE ECE 2017 Set 2 | Question: 14
Consider the circuit shown in the figure. Assume base-to-emitter voltage $V_{BE}=0.8 V$ and common-base current gain ($\alpha$) of the transistor is unity. The value of the collector-to-emitter voltage $V_{CE}$ (in volt) is ____________
Consider the circuit shown in the figure. Assume base-to-emitter voltage $V_{BE}=0.8 V$ and common-base current gain ($\alpha$) of the transistor is unity. The value of t...
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3010
GATE ECE 2017 Set 2 | Question: 15
For the circuit shown in the figure, P and Q are the inputs and Y is the output. The logic implemented by the circuit is XNOR XOR NOR OR
For the circuit shown in the figure, P and Q are the inputs and Y is the output.The logic implemented by the circuit isXNOR XORNOROR
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3012
GATE ECE 2017 Set 2 | Question: 17
In a DRAM, periodic refreshing is not required information is stored in a capacitor information is stored in a latch both read and write operations can be performed simultaneously
In a DRAM, periodic refreshing is not required information is stored in a capacitor information is stored in a latchboth read and write operations can be performed simult...
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3013
GATE ECE 2017 Set 2 | Question: 18
For the system shown in the figure, $Y(s)/X(s)$ = ___________
For the system shown in the figure, $Y(s)/X(s)$ = ___________
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3015
GATE ECE 2017 Set 2 | Question: 20
Which of the following statements is incorrect? Lead compensator is used to reduce the settling time. Lag compensator is used to reduce the steady state error. Lead compensator may increase the order of a system. Lag compensator always stabilizes an unstable system.
Which of the following statements is incorrect?Lead compensator is used to reduce the settling time.Lag compensator is used to reduce the steady state error.Lead compensa...
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3016
GATE ECE 2017 Set 2 | Question: 21
Which one of the following graphs shows the Shannon capacity (channel capacity) in bits of a memoryless binary symmetric channel with crossover probability $p$ ?
Which one of the following graphs shows the Shannon capacity (channel capacity) in bits of a memoryless binary symmetric channel with crossover probability $p$ ?
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3018
GATE ECE 2017 Set 2 | Question: 3
The smaller angle (in degrees) between the planes $x+y+z=1$ and $2x-y+2z=0$ is ________.
The smaller angle (in degrees) between the planes $x+y+z=1$ and $2x-y+2z=0$ is ________.
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3019
GATE ECE 2017 Set 2 | Question: 4
The residues of a function $f(z)=\frac1{(z-4)(z+1)^3 }$ are $\frac{-1}{27}$ and $\frac{-1}{125} \\$ $\frac{1}{125}$ and $\frac{-1}{125} \\$ $\frac{-1}{27}$ and $\frac{1}{5} \\$ $\frac{1}{125}$and $\frac{-1}{5}$
The residues of a function $$f(z)=\frac1{(z-4)(z+1)^3 }$$are$\frac{-1}{27}$ and $\frac{-1}{125} \\$$\frac{1}{125}$ and $\frac{-1}{125} \\$$\frac{-1}{27}$ and $\frac{1}...
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3020
GATE ECE 2017 Set 2 | Question: 5
In the circuit shown, V is a sinusoidal voltage source. The current $I$ is in phase with voltage V. The ratio$\frac{\text{amplitude of voltage across the capacitor}}{\text{amplitude of voltage across the resistor}}$ is ___________.
In the circuit shown, V is a sinusoidal voltage source. The current $I$ is in phase with voltage V. The ratio$\frac{\text{amplitude of voltage across the capacitor}}{\tex...
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3022
GATE ECE 2017 Set 2 | Question: 7
An LTI system with unit sample response $h[n]=5\delta [n]-7\delta [n-1]+7\delta [n-3]-5\delta [n-4]$ is a low-pass filter high-pass filter band-pass filter band-stop filter
An LTI system with unit sample response $h[n]=5\delta [n]-7\delta [n-1]+7\delta [n-3]-5\delta [n-4]$ is a low-pass filter high-pass filter band-pass filter band-s...
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3027
GATE ECE 2017 Set 2 | Question: 12
The output $V_0$ of the diode circuit shown in the figure is connected to an averaging DC voltmeter. The reading on the DC voltmeter in Volts, neglecting the voltage drop across the diode, is _________________.
The output $V_0$ of the diode circuit shown in the figure is connected to an averaging DC voltmeter. The reading on the DC voltmeter in Volts, neglecting the voltage drop...
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3028
GATE ECE 2017 Set 2 | Question: 1
The rank of the matrix $\begin{bmatrix} 1 & -1& 0& 0& 0& \\ 0& 0& 1& -1& 0& \\ 0& 1& -1& 0& 0& \\ -1& 0& 0& 0& 1& \\ 0& 0& 0& 1& -1& \end{bmatrix}$ is ________.
The rank of the matrix $\begin{bmatrix} 1 & -1& 0& 0& 0& \\ 0& 0& 1& -1& 0& \\ 0& 1& -1& 0& 0& \\ -1& 0& 0& 0& 1& \\ 0& 0&...
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3031
GATE ECE 2017 Set 2 | GA Question: 8
$1200$ men and $500$ women can build a bridge in $2$ weeks. $900$ men and $250$ women will take $3$ weeks to build the same bridge. How many men will be needed to build the bridge in one week? $3000$ $3300$ $3600$ $3900$
$1200$ men and $500$ women can build a bridge in $2$ weeks. $900$ men and $250$ women will take $3$ weeks to build the same bridge. How many men will be needed to build t...
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3032
GATE ECE 2017 Set 2 | GA Question: 9
The number of $3$-digit numbers such that the digit $1$ is never to the immediate right of $2$ is $781$ $791$ $881$ $891$
The number of $3$-digit numbers such that the digit $1$ is never to the immediate right of $2$ is$781$$791$$881$$891$
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3034
GATE ECE 2017 Set 2 | GA Question: 1
The ninth and the tenth of this month are Monday and Tuesday________. figuratively retrospectively respectively rightfully
The ninth and the tenth of this month are Monday and Tuesday________.figurativelyretrospectivelyrespectivelyrightfully
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3035
GATE ECE 2017 Set 2 | GA Question: 2
It is ___________ to read this year’s textbook ________ the last year’s. easier, than most easy, than easier, from easiest, from
It is ___________ to read this year’s textbook ________ the last year’s.easier, thanmost easy, thaneasier, fromeasiest, from
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