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3042
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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3046
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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3049
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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3050
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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3052
GATE ECE 2017 Set 1 | Question: 16
The clock frequency of an $8085$ microprocessor is $5$ MHz . If the time required to execute an instruction is $1.4 \: \mu s$, then the number of T-states needed for executing the instruction is $1$ $6$ $7$ $8$
The clock frequency of an $8085$ microprocessor is $5$ MHz . If the time required to execute an instruction is $1.4 \: \mu s$, then the number of T-states needed for exec...
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3053
GATE ECE 2017 Set 1 | Question: 20
Which of the following can be the pole-zero configuration of a phase-lag controller (lag compensator)?
Which of the following can be the pole-zero configuration of a phase-lag controller (lag compensator)?
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3056
GATE ECE 2017 Set 1 | Question: 12
For the operational amplifier circuit shown, the output saturation voltage are $\pm 15 \:V$. The upper and lower threshold voltages for the circuit are,respectively, $+ 5 \: V$ and $– 5 V$ $+ 7 \: V$ and $– 3 \: V$ $+ 3 \: V$ and $- 7 \: V$ $+ 3 \: V$ and $– 3 \: V$
For the operational amplifier circuit shown, the output saturation voltage are $\pm 15 \:V$. The upper and lower threshold voltages for the circuit are,respectively,$+ 5 ...
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3065
GATE ECE 2017 Set 1 | Question: 45
The following FIVE instructions were executed on an $8085$ microprocessor. MVI A, $33$H MVI B, $78$H ADD B CMA ANI $32$H The Accumulator value immediately after the execution of the fifth instruction is $00H$ $10H$ $11H$ $32H$
The following FIVE instructions were executed on an $8085$ microprocessor.MVI A, $33$HMVI B, $78$HADD BCMAANI $32$HThe Accumulator value immediately after the execution o...
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3068
GATE ECE 2017 Set 1 | Question: 7
In the circuit shown, the positive angular frequency $\omega$ (in radians per second) at which the magnitude of the phase difference between the voltages $V_1$ and $V_2$ equals $\frac{\pi}{4}$ radians, is _________
In the circuit shown, the positive angular frequency $\omega$ (in radians per second) at which the magnitude of the phase difference between the voltages $V_1$ and $V_2$ ...
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3069
GATE ECE 2017 Set 1 | Question: 15
A good transconductance amplifier should have high input resistance and low output resistance low input resistance and high output resistance high input and output resistances low input and output resistances
A good transconductance amplifier should havehigh input resistance and low output resistancelow input resistance and high output resistancehigh input and output resistanc...
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3070
GATE ECE 2017 Set 1 | Question: 34
The figure shows an RLC circuit excited by the sinusoidal voltage $100 \cos(3t)$ Volts, where $t$ is in seconds. The ratio $\frac{\text{amplitude of }V_{2}}{\text{amplitude of }V{1}}$ is______.
The figure shows an RLC circuit excited by the sinusoidal voltage $100 \cos(3t)$ Volts, where $t$ is in seconds. The ratio $\frac{\text{amplitude of }V_{2}}{\text{amplitu...
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3072
GATE ECE 2017 Set 1 | Question: 33
Let $h[n]$ ... radians. Given that $H(\omega_{0})=0$ and $0< \omega_{0} < \pi$, the value of $\omega_{0}$ (in radians) is equal to__________.
Let $h[n]$ be the impulse response of a discrete-time linear time invariant(LTI) filter. The impulse response is given by $$h[0]=\frac{1}{3}; \, h =\frac{1}{3}; \, h =\fr...
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3077
GATE ECE 2017 Set 1 | Question: 4
Three fair cubical dice are thrown simultaneously . The probability that all three dice have the same number of dots on the faces showing up is (up to third decimal place)________.
Three fair cubical dice are thrown simultaneously . The probability that all three dice have the same number of dots on the faces showing up is (up to third decimal place...
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3078
GATE ECE 2017 Set 1 | Question: 28
Let $I=\int_{c}\left ( 2zdx+2ydy+2xdx \right )$ where $x,y,z$ are real, and let $C$ be the straight line segment from point $A:(0,2,1)$ to point $B:(4,1,-1)$.The value of $I$ is ____________.
Let $I=\int_{c}\left ( 2zdx+2ydy+2xdx \right )$ where $x,y,z$ are real, and let $C$ be the straight line segment from point $A:(0,2,1)$ to point $B:(4,1,-1)$.The value of...
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