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2721

GATE ECE 2014 Set 2 | GA Question: 9
The total exports and revenues from the exports of a country are given in the two charts shown below. The pie chart for exports shows the quantity of each item exported as a percentage of the total quantity of exports. The pie chart for the revenues shows ... item among the following has generated the maximum revenue per $kg$? Item $2$ Item $3$ Item $6$ Item $5$

Milicevic3306 asked in Quantitative Aptitude Mar 26, 2018

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2722

GATE ECE 2014 Set 4 | Question: 32
The equivalent resistance in the infinite ladder network shown in the figure, is $R_e$. The value of $R_e/R$ is __________

Milicevic3306 asked in Network Solution Methods Mar 26, 2018

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2723

GATE ECE 2012 | Question: 56
If $(1.001)^{1259}=3.52$ and $(1.001)^{2062}=7.85,$ then $(1.001)^{3321}=?$ $2.23$ $4.33$ $11.37$ $27.64$

Milicevic3306 asked in Quantitative Aptitude Mar 25, 2018

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2724

GATE ECE 2014 Set 3 | Question: 34
The donor and accepter impurities in an abrupt junction silicon diode are $1\times 10^{16} cm^{-3}$ and $5\times 10^{18}$cm^{-3}$, respectively. Assume that the intrinsic carrier concentration in silicon $n_{i}= 1.5\times 10^{10}cm^{-3}$ at $300K, \frac{kT}{q}= 26$ $ ... $0.7$ $V$ and $3.3\times 10^{-5} cm$ $0.86$ $V$ and $3.3\times 10^{-5} cm$

Milicevic3306 asked in Electronic Devices Mar 26, 2018

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2725

GATE ECE 2014 Set 2 | GA Question: 10
It takes $30$ minutes to empty a half-full tank by draining it at a constant rate. It is decided to simultaneously pump water into the half-full tank while draining it. What is the rate at which water has to be pumped in so that it gets fully ... ? $4$ times the draining rate $3$ times the draining rate $2.5$ times the draining rate $2$ times the draining rate

Milicevic3306 asked in Quantitative Aptitude Mar 26, 2018

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2726

GATE ECE 2014 Set 4 | Question: 53
The electric field (assumed to be one-dimensional) between two points $A$ and $B$ is shown. Let $\psi _A$ and $\psi _B$ be the electrostatic potentials at $A$ and $B$, respectively. The value of $\psi _B – \psi _A$ in Volts is ____________

Milicevic3306 asked in Electromagnetics Mar 26, 2018

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2727

GATE ECE 2012 | Question: 57
Choose the most appropriate alternative from the options given below to complete the following sentence: If the tired soldier wanted to lie down, he _______ the mattress out on the balcony. should take shall take should have taken will have taken

Milicevic3306 asked in Verbal Aptitude Mar 25, 2018

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2728

GATE ECE 2014 Set 3 | GA Question: 3
'Advice' is ________________. a verb a noun an adjective both a verb and a noun

Milicevic3306 asked in Verbal Aptitude Mar 26, 2018

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2729

GATE ECE 2013 | Question: 13
The bit rate of a digital communication system is $R$ kbits/s. The modulation used is $32$-QAM. The minimum bandwidth required for ISI free transmission is $R/10\: Hz$ $R/10\: kHz$ $R/5\: Hz$ $R/5\: kHz$

Milicevic3306 asked in Communications Mar 26, 2018

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2730

GATE ECE 2014 Set 3 | Question: 25
In the following figure, the transmitter $Tx$ sends a wideband modulated $RF$ signal via a coaxial cable to the receiver $Rx$. The output impedance $Z_{T}$ of $Tx$, the characteristic impedance $Z_{0}$ of the cable and the input impedance ... $Z_{R}\neq Z_{0}$ Impedance mismatches do NOT result in signal distortion but reduce power transfer efficiency

Milicevic3306 asked in Electromagnetics Mar 26, 2018

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2731

GATE ECE 2014 Set 3 | Question: 22
The phase response of a passband waveform at the receiver is given by $\varphi (f)= -2\pi \alpha (f-f_{c})-2\pi \beta f_{c}$ where $f_{c}$ is the centre frequency, and $\alpha$ and $\beta$ are positive constants. The actual signal propagation delay from the ... $\frac{\alpha\beta }{\alpha +\beta } \\$ $\alpha \\$ $\beta$

Milicevic3306 asked in Electromagnetics Mar 26, 2018

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2732

GATE ECE 2014 Set 2 | Question: 38
For the n-channel MOS transistor shown in the figure, the threshold voltage $V_{Th}$ is $0.8$ V. Neglect channel length modulation effects. When the drain voltage $V_{D}= 1.6 V,$ the drain current $I_{D}$ was found to be $0.5$ mA. If $V_{D}$is adjusted to be $2$ V ... the values of R and $V_{DD}$, the new value of $I_{D}$ (in mA) is $0.625$ $0.75$ $1.125$ $1.5$

Milicevic3306 asked in Electronic Devices Mar 26, 2018

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2733

GATE ECE 2014 Set 4 | Question: 41
A $16$ – bit ripple carry adder is realized using $16$ identical full adders (FA) as shown in the figure. The carry-propagation delay of each FA is $12$ ns and the sum-propagation delay of each FA is $15$ ns. The worst case delay (in ns) of this $16$-bit adder will be _______

Milicevic3306 asked in Electromagnetics Mar 26, 2018

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2734

GATE ECE 2012 | Question: 27
A BPSK scheme operating over an AWGN channel with noise power spectral density of $\frac{N_o}{2}$, uses equiprobable signals $s_1(t)=\sqrt{\frac{2E}{T}}\sin(\omega_ct)$ and $s_2(t)=-\sqrt{\frac{2E}{T}}\sin(\omega_ct)$ over the symbol interval $(0,T)$. If the local oscillator ... $Q(\sqrt{\frac{E}{N_o}})$ $Q(\sqrt{\frac{E}{2N_o}})$ $Q(\sqrt{\frac{E}{4N_o}})$

Milicevic3306 asked in Communications Mar 25, 2018

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2735

GATE ECE 2012 | Question: 60
One of the parts $(A, B, C, D)$ in the sentence given below contains an ERROR. Which one of the following is INCORRECT? I requested that he should be given the driving test today instead of tomorrow. requested that should be given the driving test instead of tomorrow

Milicevic3306 asked in Verbal Aptitude Mar 25, 2018

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2736

GATE ECE 2012 | Question: 22
In the circuit shown below, the current through the inductor is $\frac{2}{1+j}\:A$ $\frac{-1}{1+j}\:A$ $\frac{1}{1+j}\:A$ $0\:A$

Milicevic3306 asked in Others Mar 25, 2018

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2737

GATE ECE 2014 Set 3 | Question: 45
The $z$-transform of the sequence $x[n]$ is given by $X(z)=\frac{1}{(1-2z^{-1})^{2}},$ with the region of convergence $\mid z \mid >2$. Then, $x[2]$ is _________.

Milicevic3306 asked in Continuous-time Signals Mar 26, 2018

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2738

GATE ECE 2014 Set 3 | Question: 44
Let $h(t)$ denote the impulse response of a causal system with transfer function $\frac{1}{s+1}.$ Consider the following three statements. $S1$: The system is stable. $S2$: $\frac{h(t+1)}{h(t)}$ is independent of $t$ for $t > 0$. $S3$: A non-causal ... $S1$ and $S2$ are true only $S2$ and $S3$ are true only $S1$ and $S3$ are true $S1$, $S2$ and $S3$ are true

Milicevic3306 asked in Network Solution Methods Mar 26, 2018

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2739

GATE ECE 2014 Set 2 | Question: 53
If the electric field of a plane wave is $\overrightarrow{E}(z,t)= \hat{x}3 \cos(\omega t-kz+30^{\circ}) – \hat{y} 4 \sin(\omega t – kz+45^{\circ}) (mV/m),$ the polarization state of the plane wave is left elliptical left circular right elliptical right circular

Milicevic3306 asked in Electromagnetics Mar 26, 2018

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2740

GATE ECE 2014 Set 2 | Question: 35
Consider an abrupt PN junction (at $T = 300 K$) shown in the figure. The depletion region width $X_{n}$ on the $N$-side of the junction is $0.2 \mu m$ and the permittivity of silicon $( \varepsilon _{gi} )$ is $1.044 \times 10^{-12} \: F/cm$. At the junction, the approximate value of the peak electric field (in $kV/cm$) is ___________.

Milicevic3306 asked in Electronic Devices Mar 26, 2018

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2741

GATE ECE 2014 Set 4 | Question: 31
In the circuit shown in the figure, the value of $v_0(t)$ (in Volts) for $t \to \infty$ is ___________

Milicevic3306 asked in Network Solution Methods Mar 26, 2018

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2742

GATE ECE 2014 Set 4 | Question: 14
For a given sample-and-hold circuit, if the value of the hold capacitor is increased, then droop rate decreases and acquisition time decreases droop rate decreases and acquisition time increases droop rate increases and acquisition time decreases droop rate increases and acquisition time increases

Milicevic3306 asked in Digital Circuits Mar 26, 2018

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2743

GATE ECE 2012 | Question: 2
The power spectral density of a real process $X(t)$ for positive frequencies is shown below. The values of $E[X^2(t)]$ and $ \mid E[X(t)] \mid$, respectively, are $\frac{6000}{\pi}\:,\:0$ $\frac{6400}{\pi}\:,\:0$ $\frac{6400}{\pi}\:,\:\frac{20}{(\pi\sqrt2)}$ $\frac{6000}{\pi}\:,\:\frac{20}{(\pi\sqrt2)}$

Milicevic3306 asked in Communications Mar 25, 2018

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2744

GATE ECE 2013 | Question: 44
Three capacitors $C_{1}, C_{2}$ and $C_{3}$ whose values are $10\mu F, 5\mu F,$ and $2\mu F$ respectively, have breakdown voltages of $10V, 5V,$ and $2V$ respectively. For the interconnection shown below, the maximum safe voltage in Volts that can be ... capacitance across the terminals are respectively, $2.8$ and $36$ $7$ and $119$ $2.8$ and $32$ $7$ and $80$

Milicevic3306 asked in Electronic Devices Mar 26, 2018

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2745

GATE ECE 2014 Set 4 | Question: 46
The state transition matrix $\phi(t)$ of a system $\begin{bmatrix} x_1 \\ x_2 \end{bmatrix} = \begin{bmatrix} 0 & 1 \\ 0 & 0 \end{bmatrix} \begin{bmatrix} x_1 \\ x_2 \end{bmatrix}$ is $\begin{bmatrix} t & 1 \\ 1 & 0 \end{bmatrix} \\$ ... $\begin{bmatrix} 0 & 1 \\ 1 & t \end{bmatrix} \\$ $\begin{bmatrix} 1 & t \\ 0 & 1 \end{bmatrix}$

Milicevic3306 asked in Linear Algebra Mar 26, 2018

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2746

GATE ECE 2012 | Question: 44
The voltage gain $A_v$ of the circuit shown below is $\mid A_v \mid\approx 200$ $\mid A_v\mid \approx 100$ $ \mid A_v \mid \approx 20$ $\mid A_v \mid \approx 10$

Milicevic3306 asked in Analog Circuits Mar 25, 2018

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2747

GATE ECE 2012 | Question: 55
The transfer function of a compensator is given as $G_c(s)=\frac{s+a}{s+b}$ The phase of the above lead compensator is maximum at $\sqrt{2}$ rad/s $\sqrt{3}$ rad/s $\sqrt{6}$ rad/s $\frac{1}{\sqrt{3}}$ rad/s

Milicevic3306 asked in Network Solution Methods Mar 25, 2018

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2748

GATE ECE 2013 | Question: 64
The set of values of $p$ for which the roots of the equation $3x^2+2x+p(p-1)=0$ are of opposite sign is $(-\infty ,0)$ $(0,1)$ $(1,\infty )$ $(0,\infty )$

Milicevic3306 asked in Quantitative Aptitude Mar 26, 2018

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2749

GATE ECE 2012 | Question: 65
$A$ and $B$ are friends. They decide to meet between $1:00$pm and $2:00$ pm on a given day. There is a condition that whoever arrives first will not wait for the other for more than $15$ minutes. The probability that they will meet on that day is $1/4$ $1/16$ $7/16$ $9/16$

Milicevic3306 asked in Quantitative Aptitude Mar 25, 2018

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2750

GATE ECE 2012 | Question: 18
If $x[n]=(\frac{1}{3})^{|n|}-(\frac{1}{2})^{|n|}u[n]$, then the region of convergence (ROC) of its Z-transform in the Z-plane will be $\frac{1}{3}\lt |z|\lt 3$ $\frac{1}{3}\lt |z|\lt \frac{1}{2}$ $\frac{1}{2}\lt |z|\lt 3$ $\frac{1}{3}\lt |z|$

Milicevic3306 asked in Numerical Methods Mar 25, 2018

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2751

GATE ECE 2012 | Question: 42
Let $y[n]$ denote the convolution of $h[n]$ and $g[n]$, where $h[n]=(\frac{1}{2})^nu[n]$ and $g[n]$ is a casual sequence. If $y[0]=1$ and $y[1]=\frac{1}{2}$, then $g[1]$ equals $0$ $\frac{1}{2}$ $1$ $\frac{3}{2}$

Milicevic3306 asked in Continuous-time Signals Mar 25, 2018

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2752

GATE ECE 2012 | Question: 51
In the three dimensional view of a silicon n-channel MOS transistor shown below, $\delta=20\:nm$. The transistor is of width $1\: \mu m$. The depletion width formed at every p-n junction is $10\:nm$. The relative permittivities of $Si$ and $SiO_2$, respectively, are ... $2\:fF$ $7\:fF$ $2\:pF$ $7\:pF$

Milicevic3306 asked in Analog Circuits Mar 25, 2018

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2753

GATE ECE 2012 | Question: 30
The feedback system shown below oscillates at $2\:rad/s$ when $K=2$ and $a=0.75$ $K=3$ and $a=0.75$ $K=4$ and $a=0.5$ $K=2$ and $a=0.5$

Milicevic3306 asked in Analog Circuits Mar 25, 2018

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2754

GATE ECE 2012 | Question: 45
If $V_A-V_B=6\:V$, then $V_C-V_D$ is $-5\:V$ $2\:V$ $3\:V$ $6\:V$

Milicevic3306 asked in Others Mar 25, 2018

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2755

GATE ECE 2012 | Question: 47
Given that $A=\begin{bmatrix} -5 &-3 \\ 2 &0\end{bmatrix}$ and $I=\begin{bmatrix} 1 & 0 \\ 0 &1\end{bmatrix}$, the value of $A^3$ is $15\:A+12\:I$ $19\:A+30\:I$ $17\:A+15\:I$ $17\:A+21\:I$

Milicevic3306 asked in Linear Algebra Mar 25, 2018

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2756

GATE ECE 2012 | Question: 3
In a baseband communications link, frequencies upto $3500\:Hz$ are used for signaling. Using a raised cosine pulse with $75\%$ excess bandwidth and for no inter-symbol interference, the maximum possible signaling rate in the symbols per second is $1750$ $2625$ $4000$ $5250$

Milicevic3306 asked in Communications Mar 25, 2018

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2757

GATE ECE 2012 | Question: 21
The impedance looking into nodes $1$ and $2$ in the given circuit is $50\:\Omega$ $100\:\Omega$ $5\:k\Omega$ $10.1\:k\Omega$

Milicevic3306 asked in Electromagnetics Mar 25, 2018

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2758

GATE ECE 2012 | Question: 37
In the CMOS circuit shown, electron and hole mobilities are equal, and $M1$ and $M2$ are equally sized. The device $M1$ is in the linear region if $V_{in}\lt 1.875\:V$ $1.875\:V\lt V_{in}\lt 3.125\:V$ $V_{in}\gt 3.125\:V$ $0\lt V_{in}\lt 5\:V$

Milicevic3306 asked in Electronic Devices Mar 25, 2018

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2759

GATE ECE 2012 | Question: 14
In the circuit shown $Y=\overline{A} \overline{B}+\bar{C}$ $Y=(A+B)C$ $Y=(\overline{A}+\overline{B})\overline{C}$ $Y=AB+C$

Milicevic3306 asked in Others Mar 25, 2018

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2760

GATE ECE 2012 | Question: 33
Assuming both the voltage sources are in phase, the value of $R$ for which maximum power is transferred from circuit $A$ to circuit $B$ is $0.8\:\Omega$ $1.4\:\Omega$ $2\:\Omega$ $2.8\:\Omega$

Milicevic3306 asked in Analog Circuits Mar 25, 2018

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