Recent questions without a selected answer / GO Electronics

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3001

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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admin asked Nov 23, 2017

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1 answer

3002

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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admin asked Nov 23, 2017

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3003

GATE ECE 2017 Set 2 | GA Question: 10
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. Which of the following is the steepest path leaving from $P$? $\text{P to Q}$ $\text{P to R}$ $\text{P to S}$ $\text{P to T}$

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 $25$ ...

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admin asked Nov 23, 2017

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3004

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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admin asked Nov 23, 2017

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3005

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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admin asked Nov 23, 2017

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3006

GATE ECE 2017 Set 2 | GA Question: 3
A rule states that in order to drink beer, one must be over $18$ years old. In a bar, there are $4$ people. $P$ is $16$ years old. $Q$ is $25$ years old. $R$ is drinking milkshake and $S$ is drinking a beer. What must be checked to ensure that the rule is ... $\text{S's}$ age Only $\text{P's}$ drink, $\text{Q's}$ drink and $\text{S's}$ age

A rule states that in order to drink beer, one must be over $18$ years old. In a bar, there are $4$ people. $P$ is $16$ years old. $Q$ is $25$ years old. $R$ is drinking ...

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admin asked Nov 23, 2017

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3007

GATE ECE 2017 Set 2 | GA Question: 4
Fatima starts from point $P$, goes North for $3$ km, and then East for $4$ km to reach point $Q$. She then turns to face point $P$ and goes $15$ km in that direction. She then goes North for $6$ km. How far is she from point $P$, and in which direction ... to reach point $P$? $\text{8 km, East}$ $\text{12 km, North}$ $\text{6k m, East}$ $\text{10 km, North}$

Fatima starts from point $P$, goes North for $3$ km, and then East for $4$ km to reach point $Q$. She then turns to face point $P$ and goes $15$ km in that direction. She...

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admin asked Nov 23, 2017

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3008

GATE ECE 2017 Set 2 | GA Question: 5
$500$ students are taking one or more course out of Chemistry, Physics, and Mathematics. Registration records indicate course enrollment as follows: Chemistry $(329)$, Physics $(186)$, and Mathematics $(295)$. Chemistry and Physics $(83)$, Chemistry and ... Physics and Mathematics $(63)$. How many students are taking all $3$ subjects? $37$ $43$ $47$ $53$

$500$ students are taking one or more course out of Chemistry, Physics, and Mathematics. Registration records indicate course enrollment as follows: Chemistry $(329)$, Ph...

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admin asked Nov 23, 2017

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3009

GATE ECE 2017 Set 2 | GA Question: 6
If you are looking for a history of India, or for an account of the rise and fall of the British Raj, or for all reason of the cleaving of the subcontinent into two mutually antagonistic parts and the ... impartial perspective. An intimate association offers an impartial perspective. Actors are typically associated with the impartial recording of matters.

“If you are looking for a history of India, or for an account of the rise and fall of the British Raj, or for all reason of the cleaving of the subcontinent into two mu...

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admin asked Nov 23, 2017

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3010

GATE ECE 2017 Set 1 | Question: 48
Which one of the following options correctly describes the locations of the roots of the equation $s^{4}+s^{2}+1=0$ on the complex plane? Four left half plane(LHP) roots One right half plane(RHP) root,one LHP root and two roots on the imaginary axis Two RHP roots and two LHP roots All four roots are on the imaginary axis

Which one of the following options correctly describes the locations of the roots of the equation $s^{4}+s^{2}+1=0$ on the complex plane?Four left half plane(LHP) rootsOn...

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admin asked Nov 17, 2017

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3011

GATE ECE 2017 Set 1 | Question: 51
Let $X(t)$ be a wide sense stationary random process with the power spectral density $S_{X}(f)$ as shown in Figure (a), where $f$ is in Hertz$(Hz)$. The random process $X(t)$ ... Select the correct option: only I is true only II and III are true only I and II are true only I and III are true

Let $X(t)$ be a wide sense stationary random process with the power spectral density $S_{X}(f)$ as shown in Figure (a), where $f$ is in Hertz$(Hz)$. The random process $X...

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3012

GATE ECE 2017 Set 1 | Question: 50
In binary frequency shift keying (FSK), the given signal waveforms are $u_{0}(t)=5\, \cos(20000\pi t)\, ;0\leq t\leq T \text{, and } \\ u_{1}(t)=5\, \cos(22000\pi t)\, ;0 \leq t \leq T,$ where $T$ is the bit-duration interval and $t$ is in seconds ... (in milliseconds) required to have $u_{0}(t)$ and $u_{1}(t)$ uncorrelated is $0.25$ ms $0.5$ ms $0.75$ ms $1.0$ ms

In binary frequency shift keying (FSK), the given signal waveforms are $$u_{0}(t)=5\, \cos(20000\pi t)\, ;0\leq t\leq T \text{, and } \\ u_{1}(t)=5\, \cos(22000\pi t)\, ;...

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admin asked Nov 17, 2017

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3013

GATE ECE 2017 Set 1 | Question: 53
An optical fiber is kept along the $\hat{z}$ direction. The refractive indices for the electric fields along $\hat{x}$ and $\hat{y}$ directions in the fiber are $n_{x}=1.5000$ and $n_{y}=1.5001$, ... is circularly polarized at the input of the fiber, the minimum propagation distance after which it becomes linearly polarized, in centimeters,is______________.

An optical fiber is kept along the $\hat{z}$ direction. The refractive indices for the electric fields along $\hat{x}$ and $\hat{y}$ directions in the fiber are $n_{x}=1....

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admin asked Nov 17, 2017

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3014

GATE ECE 2017 Set 1 | Question: 52
A continuous time signal $x(t)=4 \cos(200\pi t)+8 \cos(400\pi t)$, where $t$ is in seconds, is the input to a linear time invariant (LTI) filter with the impulse response $h(t)=\begin{cases} \frac{2 \sin (300\pi t)}{\pi t},& t\neq 0 \\ 600, & t=0. \end{cases}$ Let $y(t)$ be the output of this filter. The maximum value of $ \mid y(t) \mid $ is _________.

A continuous time signal $x(t)=4 \cos(200\pi t)+8 \cos(400\pi t)$, where $t$ is in seconds, is the input to a linear time invariant (LTI) filter with the impulse response...

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3015

GATE ECE 2017 Set 1 | Question: 49
The Nyquist plot of the transfer function $G(s)=\frac{K}{(s^{2}+2s+2)(s+2)}$ does not encircle the point $(-1+j0)$ for $K=10$ but does encircle the point $(-1+j0)$ for $K=100$. Then the closed loop system (having unity gain feedback) is stable ... $K=10$ and unstable for $K=100$ unstable for $K=10$ and stable for $K=100$ stable for $K=10$ and unstable for $K=100$

The Nyquist plot of the transfer function$$G(s)=\frac{K}{(s^{2}+2s+2)(s+2)}$$does not encircle the point $(-1+j0)$ for $K=10$ but does encircle the point $(-1+j0)$ for $K...

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admin asked Nov 17, 2017

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3016

GATE ECE 2017 Set 1 | Question: 54
The expression for an electric field in free space is , $\textbf{E}=E_{0}( \hat{x}+\hat{y}+j2 \hat{z} )e^{-j( \omega t-kx+ky)}$ where $x,y,z$ represent the special coordinates, $t$ represents time, and ... normal to the $z$-axis represents an elliptically polarized plane wave propagating along the $x - y$ plane represents a linearly polarized plane wave

The expression for an electric field in free space is , $\textbf{E}=E_{0}( \hat{x}+\hat{y}+j2 \hat{z} )e^{-j( \omega t-kx+ky)}$ where $x,y,z$ represent the special coordi...

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admin asked Nov 17, 2017

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3017

GATE ECE 2017 Set 1 | Question: 55
A half wavelength dipole is kept in the $x-y$ plane and oriented along $45^{\circ}$ from the $x$-axis. Determine the direction of null in the radiation pattern for $0\leq \phi \leq \pi$. Here the angle $\theta (0\leq \theta \leq \pi )$ is measured from the $z$-axis and ... $\theta =45^{o},\phi =90^{o}$ $\theta =90^{o},\phi =135^{o}$ $\theta =45^{o},\phi =135^{o}$

A half wavelength dipole is kept in the $x-y$ plane and oriented along $45^{\circ}$ from the $x$-axis. Determine the direction of null in the radiation pattern for $0\leq...

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admin asked Nov 17, 2017

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3018

GATE ECE 2017 Set 1 | Question: 36
The dependence of drift velocity of electrons on electric field in a semiconductor is shown below. The semiconductor has a uniform electron concentration of $n=1 \times 10^{16} cm^{3}$ and electronic charge $q=1.6 \times 10 ^{-19}C$. If a bias ... a $1 µm$ region of this semiconductor, the resulting current density in this region, in $kA/cm^{2} $, is _____.

The dependence of drift velocity of electrons on electric field in a semiconductor is shown below. The semiconductor has a uniform electron concentration of $n=1 \times 1...

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admin asked Nov 17, 2017

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3019

GATE ECE 2017 Set 1 | Question: 37
As shown , a uniformly doped Silicon bar of length $L=0.1\mu m$ with a donor concentration $N_{D}=10^{16}cm^{-3}$ is illuminated at $x=0$ ... that goes to $0$ at $x=L$, the magnitude of the diffusion current density at $x=L/2$, in $A/cm^{2}$, is ___________.

As shown , a uniformly doped Silicon bar of length $L=0.1\mu m$ with a donor concentration $N_{D}=10^{16}cm^{-3}$ is illuminated at $x=0$ such that electron and hole pair...

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admin asked Nov 17, 2017

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3020

GATE ECE 2017 Set 1 | Question: 38
As shown, two Silicon (Si) abrupt $p-n$ junction diodes are fabricated with uniform donor doping concentrations of $ N_{D1}=10^{14} cm^{-3} $ and $N_{D2}=10^{16}cm^{-3}$ in the $n$-regions of the diodes, and uniform acceptor ... in potentials of the diodes, the ratio $C_{2}/C_{1}$ of their reverse bias capacitance for the same applied reverse bias, is _________.

As shown, two Silicon (Si) abrupt $p-n$ junction diodes are fabricated with uniform donor doping concentrations of $ N_{D1}=10^{14} cm^{-3} $ and $N_{D2}=10^{16}cm^{-3}$ ...

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admin asked Nov 17, 2017

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3021

GATE ECE 2017 Set 1 | Question: 39
In the figure shown, the $npn$ transistor acts as a switch. For the input $V_{in}(t)$ as shown in the figure, the transistor switches between the cut-off and saturation regions of operation, when $T$ is large. Assume collector-to-emitter ... $(\alpha)$ of the transistor for the switching should be __________.

In the figure shown, the $npn$ transistor acts as a switch.For the input $V_{in}(t)$ as shown in the figure, the transistor switches between the cut-off and saturation re...

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admin asked Nov 17, 2017

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3022

GATE ECE 2017 Set 1 | Question: 41
For the circuit shown, assume that the NMOS transistor is in saturation. Its threshold voltage $V_{tn}=1V$ and its transconductance parameter $\mu_{n}C_{ox}\big(\frac{W}{L}\big)=1 \: mA/V^{2}$.Neglect channel length modulation and body bias effects. Under these conditions, the drain current $I_{D}$ in $mA$ is ________.

For the circuit shown, assume that the NMOS transistor is in saturation. Its threshold voltage $V_{tn}=1V$ and its transconductance parameter $\mu_{n}C_{ox}\big(\frac{W}{...

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admin asked Nov 17, 2017

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3023

GATE ECE 2017 Set 1 | Question: 41
For the DC analysis of the Common-Emitter amplifier shown, neglect the base current and assume that the emitter and collector currents are equal. Given that $V_{T}=25mV,V_{BE}=0.7V$, and the BJT output resistance $r_{o}$ is practically infinite. Under these conditions, the midband voltage gain magnitude, $A_{v}=\mid v_{o}/v_{i} \mid $, V/V is ____________.

For the DC analysis of the Common-Emitter amplifier shown, neglect the base current and assume that the emitter and collector currents are equal. Given that $V_{T}=25mV,V...

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admin asked Nov 17, 2017

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3024

GATE ECE 2017 Set 1 | Question: 44
A $4$-bit shift register circuit configured for right-shift operation, i.e. $D_{in}\rightarrow A,A\rightarrow B,B\rightarrow C,C\rightarrow D$, is shown. If the present state of the shift register is $ABCD=1101$, the number of clock cycles required to reach the state $ABCD=1111$ is _________.

A $4$-bit shift register circuit configured for right-shift operation, i.e. $D_{in}\rightarrow A,A\rightarrow B,B\rightarrow C,C\rightarrow D$, is shown. If the present s...

admin

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admin asked Nov 17, 2017

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3025

GATE ECE 2017 Set 1 | Question: 43
Which one of the following gives the simplified sum of products expression for the Boolean function $F=m_{0}+m_{2}+m_{3}+m_{5}$, where $m_{0},m_{2},m_{3}$ and $m_{5}$ are minterms corresponding to the inputs $A,B$ and $C$ with $A$ as the $MSB$ and ... $\overline{A} BC+\overline{A} \: \overline{C}+A \overline{B}C$

Which one of the following gives the simplified sum of products expression for the Boolean function $F=m_{0}+m_{2}+m_{3}+m_{5}$, where $m_{0},m_{2},m_{3}$ and $m_{5}$ are...

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admin asked Nov 17, 2017

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3026

GATE ECE 2017 Set 1 | Question: 42
The amplifier circuit shown in the figure is implemented using a compensated operational amplifier (op-amp), and has an open-loop voltage gain, $A_{0}=10^{5}V/V$ and an open-loop cut-off frequency, $f_{c}=8Hz$. The voltage gain of the amplifier at $15$ kHz, in V/V, is____________.

The amplifier circuit shown in the figure is implemented using a compensated operational amplifier (op-amp), and has an open-loop voltage gain, $A_{0}=10^{5}V/V$ and an o...

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admin asked Nov 17, 2017

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3027

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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admin asked Nov 17, 2017

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3028

GATE ECE 2017 Set 1 | Question: 46
A finite state machine (FSM) is implemented using the D flip-flop A and B, and logic gates, as shown in the figure below. The four possible states of the FSM are $Q_{A}Q_{B}=00,01,10$ and $11$. Assume that $X_{IN}$ is held at a constant logic ... states if $X_{IN}=0$ only two or four possible states if $X_{IN}=1$ only two or four possible states if $X_{IN}=0$

A finite state machine (FSM) is implemented using the D flip-flop A and B, and logic gates, as shown in the figure below. The four possible states of the FSM are $Q_{A}Q_...

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admin asked Nov 17, 2017

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3029

GATE ECE 2017 Set 1 | Question: 47
A linear time invariant (LTI) system with the transfer function $G(s)=\frac{K(s^{2}+2s+2)}{(s_{2}-3s+2)}$ is connected in unity feedback configuration as shown in the figure. For the closed loop system shown, the root locus for $0< K < \infty$ ... $K>1.5$ $1<K<1.5$ $0<K<1$ no positive value of $K$

A linear time invariant (LTI) system with the transfer function $$G(s)=\frac{K(s^{2}+2s+2)}{(s_{2}-3s+2)}$$is connected in unity feedback configuration as shown in the fi...

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admin asked Nov 17, 2017

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3030

GATE ECE 2017 Set 1 | Question: 25
Consider a wireless communication link between a transmitter and a receiver located in free space, with finite and strictly positive capacity. If the effective areas of the transmitter and the receiver antennas, and the distance between them are all doubled, and ... factor of $2$ Decreases by a factor of $2$ Remains unchanged Decreases by a factor of $\sqrt{2}$

Consider a wireless communication link between a transmitter and a receiver located in free space, with finite and strictly positive capacity. If the effective areas of t...

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admin asked Nov 17, 2017

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3031

GATE ECE 2017 Set 1 | Question: 26
Let $f(x)=e^{x+x^{2}}$ for real $x$ . From among the following, choose the Taylor series approximation of $f(x)$ around $x=0$, which includes all powers of $x$ less than or equal to $3$. $1 + x + x^{2} + x^{3} $ $1 + x +\frac{3}{2} x^{2} + x^{3} $ $1 + x +\frac{3}{2} x^{2} + \frac{7}{6}x^{3} $ $1 + x +3 x^{2} + 7x^{3} $

Let $f(x)=e^{x+x^{2}}$ for real $x$ . From among the following, choose the Taylor series approximation of $f(x)$ around $x=0$, which includes all powers of $x$ less than...

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admin asked Nov 17, 2017

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3032

GATE ECE 2017 Set 1 | Question: 9
A bar of Gallium Arsenide (GaAs) is doped with silicon such that the silicon atoms occupy Gallium and Arsenic sites in the GaAs crystal. Which one of the following statements is true? Silicon atoms act as $p$-type dopants in Arsenic sites and ... Arsenic sites as well as Gallium sites Silicon atoms act as $n$-type dopants in Arsenic sites as well as Gallium sites

A bar of Gallium Arsenide (GaAs) is doped with silicon such that the silicon atoms occupy Gallium and Arsenic sites in the GaAs crystal. Which one of the following statem...

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admin asked Nov 17, 2017

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3033

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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admin asked Nov 17, 2017

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3034

GATE ECE 2017 Set 1 | Question: 29
Which one of the following is the general solution of the first order differential equation $\frac{dy}{dx}=(x+y-1)^{2},$ where $x,y$ are real? $y=1+x+\tan^{-1}(x+c)$, where $c$ is a constant $y=1+x+\tan(x+c)$, where $c$ is a constant $y=1-x+\tan^{-1}(x+c)$, where $c$ is a constant $y=1-x+\tan(x+c)$, where $c$ is a constant

Which one of the following is the general solution of the first order differential equation $$\frac{dy}{dx}=(x+y-1)^{2},$$ where $x,y$ are real?$y=1+x+\tan^{-1}(x+c)$, wh...

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admin asked Nov 17, 2017

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3035

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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admin asked Nov 17, 2017

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3036

GATE ECE 2017 Set 1 | Question: 31
Let $x(t)$ be a continuous time periodic signal with fundamental period $T=1$ seconds.Let ${a_{k} }$ be the complex Fourier series coefficients of $x(t)$, where $k$ is integer valued. Consider the following statements about $x(3t)$: The complex ... one of the following is correct? Only II and III are true Only I and III are true Only III is true Only I is true

Let $x(t)$ be a continuous time periodic signal with fundamental period $T=1$ seconds.Let ${a_{k} }$ be the complex Fourier series coefficients of $x(t)$, where $k$ is in...

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admin asked Nov 17, 2017

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3037

GATE ECE 2017 Set 1 | Question: 32
Two discrete-time signals $x[n]$ and $h[n]$ are both non-zero only for $n=0,1,2$, and are zero otherwise .It is given that $x[0]=1, \: x[1]=2, \: x[2]=1, \: h[0]=1$ Let $y[n]$ be the linear convolution of $x[n]$ and $h[n]$. Given that $y[1]=3$ and $y[2]=4$, the value of the expression $(10y[3]+y[4])$ is__________.

Two discrete-time signals $x[n]$ and $h[n]$ are both non-zero only for $n=0,1,2$, and are zero otherwise .It is given that$$x[0]=1, \: x =2, \: x =1, \: h[0]=1$$ Let $y[n...

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3038

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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3039

GATE ECE 2017 Set 1 | Question: 35
In the circuit shown, the voltage $V_{IN}(t)$ is described by: $V_{IN}(t)=\begin{cases} 0, & \text{for } t< 0 \\ 15 \text{Volts} & \text{for } t\geq 0 \end{cases}$ where $t$ is in seconds. The time (in seconds) at which the current $I$ in the circuit will reach the value $2$ Amperes is ___________.

In the circuit shown, the voltage $V_{IN}(t)$ is described by: $$V_{IN}(t)=\begin{cases} 0, & \text{for } t< 0 \\ 15 \text{Volts} & \text{for } t\geq 0 \end{cases}$$wher...

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3040

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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admin asked Nov 17, 2017