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81
GATE ECE 2016 Set 3  Question: 4
The integral $\int\limits_{0}^{1}\large\frac{dx}{\sqrt{(1x)}}$ is equal to _______
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Mar 28, 2018
in
Calculus
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30
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gate2016ec3
numericalanswers
calculus
definiteintegrals
0
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0
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82
GATE ECE 2016 Set 3  Question: 12
The figure shows the $IV$ characteristics of a solar cell illuminated uniformly with solar light of power $100\ mW/cm^2$. The solar cell has an area of $3\ cm^2$ and a fill factor of $0.7$. The maximum efficiency (in $\%$) of the device is _______
asked
Mar 28, 2018
in
Electronic Devices
by
Milicevic3306
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15.8k
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23
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gate2016ec3
numericalanswers
electronicdevices
0
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0
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83
GATE ECE 2016 Set 3  Question: 13
The diodes $D1$ and $D2$ in the figure are ideal and the capacitors are identical. The product $RC$ is very large compared to the time period of the ac voltage. Assuming that the diodes do not breakdown in the reverse bias, the output voltage $V_o$(in volt) at the steady state is _______
asked
Mar 28, 2018
in
Network Solution Methods
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Milicevic3306
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36
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gate2016ec3
numericalanswers
networksolutionmethods
diodes
steadystate
0
votes
0
answers
84
GATE ECE 2016 Set 3  Question: 14
Consider the circuit shown in the figure. Assuming $V_{EE1} = V_{EE2} = 0.7$ volt, the value of the dc voltage $V_{C2}$(in volt) is _______
asked
Mar 28, 2018
in
Analog Circuits
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Milicevic3306
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21
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gate2016ec3
numericalanswers
analogcircuits
0
votes
0
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85
GATE ECE 2016 Set 3  Question: 15
In the astable multivibrator circuit shown in the figure, the frequency of oscillation (in kHz) at the output pin $3$ is _______
asked
Mar 28, 2018
in
Analog Circuits
by
Milicevic3306
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15.8k
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28
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gate2016ec3
numericalanswers
analogcircuits
oscillator
0
votes
0
answers
86
GATE ECE 2016 Set 3  Question: 21
For a superheterodyne receiver, the intermediate frequency is $15\ MHz$ and the local oscillator frequency is $3.5\ GHz$. If the frequency of the received signal is greater than the local oscillator frequency, then the image frequency (in $MHz$) is _______
asked
Mar 28, 2018
in
Analog Circuits
by
Milicevic3306
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15.8k
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21
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gate2016ec3
numericalanswers
analogcircuits
oscillator
0
votes
0
answers
87
GATE ECE 2016 Set 3  Question: 22
An analog baseband signal, bandlimited to $100\ Hz$, is sampled at the Nyquist rate. The samples are quantized into four message symbols that occur independently with probabilities $p_1 = p_4 = 0.125$ and $p_2 = p_3$. The information rate (bits/sec) of the message source is _______
asked
Mar 28, 2018
in
Control Systems
by
Milicevic3306
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15.8k
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18
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gate2016ec3
numericalanswers
controlsystems
nyquist
probability
0
votes
0
answers
88
GATE ECE 2016 Set 3  Question: 28
A triangle in the $xy$plane is bounded by the straight lines $2x=3y, \: y=0$ and $x=3$. The volume above the triangle and under the plane $x+y+z=6$ is _______
asked
Mar 28, 2018
in
Vector Analysis
by
Milicevic3306
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15.8k
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18
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gate2016ec3
numericalanswers
vectoranalysis
vectorinplanes
0
votes
0
answers
89
GATE ECE 2016 Set 3  Question: 32
Assume that the circuit in the figure has reached the steady state before time $t = 0$ when the $3\;\Omega$ resistor suddenly burns out, resulting in an open circuit. The current $i(t)$ (in ampere) at $t=0^+$ is _______
asked
Mar 28, 2018
in
Network Solution Methods
by
Milicevic3306
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15.8k
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24
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gate2016ec3
numericalanswers
networksolutionmethods
steadystate
0
votes
0
answers
90
GATE ECE 2016 Set 3  Question: 33
In the figure shown, the current $i$ (in ampere) is _________
asked
Mar 28, 2018
in
Electronic Devices
by
Milicevic3306
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15.8k
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26
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gate2016ec3
numericalanswers
electronicdevices
carriertransport
0
votes
0
answers
91
GATE ECE 2016 Set 3  Question: 35
A continuoustime speech signal $x_a(t)$ is sampled at a rate of $8\:kHz$ and the samples are subsequently grouped in blocks, each of size $N$. The DFT of each block is to be computed in real time using the radix$2$ decimationin ... by $1$ and $1$) and the time required for addition/subtraction is negligible, then the maximum value of $N$ is _________
asked
Mar 28, 2018
in
Continuoustime Signals
by
Milicevic3306
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15.8k
points)

102
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gate2016ec3
numericalanswers
continuoustimesignals
discretefouriertransform
0
votes
0
answers
92
GATE ECE 2016 Set 3  Question: 37
The injected excess electron concentration profile in the base region of an $npn$ BJT, biased in the active region, is linear, as shown in the figure. If the area of the emitterbase junction is $0.001\:cm^2 ,\mu_n=800cm^2/(Vs)$ in the ... is _________ (Given: thermal voltage $V_T=26 \: mV$ at room temperature, electronic charge $ q=1.6\times10^{19}C$)
asked
Mar 28, 2018
in
Analog Circuits
by
Milicevic3306
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15.8k
points)

50
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gate2016ec3
numericalanswers
analogcircuits
bipolarjunctiontransistor
0
votes
0
answers
93
GATE ECE 2016 Set 3  Question: 38
Figures I and II show two MOS capacitors of unit area. The capacitor in Figure I has insulator materials $X$ (of thickness $t_1 = 1$ nm and dielectric constant $\varepsilon_1=4$) and $Y$ (of thickness $t_2 = 3$ ... of thickness $t_{Eq}$. If the capacitors are of equal capacitance, then the value of $t_{Eq}$ (in nm) is _________
asked
Mar 28, 2018
in
Electronic Devices
by
Milicevic3306
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15.8k
points)

15
views
gate2016ec3
numericalanswers
electronicdevices
moscapacitor
0
votes
0
answers
94
GATE ECE 2016 Set 3  Question: 40
For the circuit shown in the figure, $R_1=R_2=R_3=1\;\Omega,\;L=1\:\mu H$ and $C=1\:\mu F$. If the input $V_{in}=\cos(10^6t)$, then the overall voltage gain $(V_{out}/V_{in})$ of the circuit is _________
asked
Mar 28, 2018
in
Electronic Devices
by
Milicevic3306
(
15.8k
points)

10
views
gate2016ec3
numericalanswers
electronicdevices
0
votes
0
answers
95
GATE ECE 2016 Set 3  Question: 42
In the circuit shown in the figure, transistor $M1$ is in saturation and has transconductance $g_m = 0.01$ siemens. Ignoring internal parasitic capacitances and assuming the channel length modulation $\lambda$ to be zero,the small signal input pole frequency (in $kHz$) is _________
asked
Mar 28, 2018
in
Network Solution Methods
by
Milicevic3306
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15.8k
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23
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gate2016ec3
numericalanswers
networksolutionmethods
0
votes
0
answers
96
GATE ECE 2016 Set 3  Question: 44
For the circuit shown in the figure, the delays of NOR gates, multiplexers and inverters are $2$ ns, $1.5$ ns and $1$ ns, respectively. If all the inputs $P, Q, R, S$ and $T$ are applied at the same time instant, the maximum propagation delay (in ns) of the circuit is _________
asked
Mar 28, 2018
in
Digital Circuits
by
Milicevic3306
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15.8k
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25
views
gate2016ec3
numericalanswers
digitalcircuits
combinationalcircuits
logicgates
0
votes
0
answers
97
GATE ECE 2016 Set 3  Question: 48
The forwardpath transfer function and the feedbackpath transfer function of a single loop negative feedback control system are given as $G(s)=\frac{K(s+2)}{s^2+2s+2}\;\text{and}\hspace{0.3cm}H(s)=1,$ respectively. If the variable parameter $K$ is real positive, then the location of the breakaway point on the root locus diagram of the system is _________
asked
Mar 28, 2018
in
Network Solution Methods
by
Milicevic3306
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15.8k
points)

17
views
gate2016ec3
numericalanswers
networksolutionmethods
transferfunction
bodeandrootlocusplots
0
votes
0
answers
98
GATE ECE 2016 Set 3  Question: 50
A voicegrade AWGN (additive white Gaussian noise) telephone channel has a bandwidth of $4.0\:kHz$ and twosided noise power spectral density ${\large\frac{\eta}{2}}=2.5\times10^{5}Watt\:per\:Hz$. If information at the rate ... transmitted over this channel with arbitrarily small bit error rate, then the minimum bitenergy $E_b$ (in mJ/bit) necessary is _______
asked
Mar 28, 2018
in
Vector Analysis
by
Milicevic3306
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15.8k
points)

17
views
gate2016ec3
numericalanswers
vectoranalysis
gauss'stheorem
0
votes
0
answers
99
GATE ECE 2016 Set 3  Question: 51
The bit error probability of a memoryless binary symmetric channel is $10^{5}$. If $10^5$ bits are sent over this channel, then the probability that not more than one bit will be in error is _______
asked
Mar 28, 2018
in
Probability and Statistics
by
Milicevic3306
(
15.8k
points)

22
views
gate2016ec3
numericalanswers
probabilityandstatistics
probability
0
votes
0
answers
100
GATE ECE 2016 Set 3  Question: 52
Consider an airfilled rectangular waveguide with dimensions $a=2.286\:cm$ and $b=1.016\:cm$. At $10 \:GHz$ operating frequency, the value of the propagation constant (per meter) of the corresponding propagation mode is _______
asked
Mar 28, 2018
in
Electromagnetics
by
Milicevic3306
(
15.8k
points)

8
views
gate2016ec3
numericalanswers
electromagnetics
waveguides
0
votes
0
answers
101
GATE ECE 2016 Set 3  Question: 54
A radar operating at $5\:GHz$ uses a common antenna for transmission and reception. The antenna has a gain of $150$ and is aligned for maximum directional radiation and reception to a target $1\:km$ away having radar crosssection of $3\:m^2$. If it transmits $100\:kW$, then the received power (in $\mu W)$ is _______
asked
Mar 28, 2018
in
Electromagnetics
by
Milicevic3306
(
15.8k
points)

11
views
gate2016ec3
numericalanswers
electromagnetics
antennas
0
votes
0
answers
102
GATE ECE 2016 Set 2  Question: 1
The value of $x$ for which the matrix $A= \begin{bmatrix} 3& 2 &4 \\ 9& 7 & 13\\ 6&4 &9+x \end{bmatrix}$ has zero as an eigenvalue is ________
asked
Mar 28, 2018
in
Linear Algebra
by
Milicevic3306
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15.8k
points)

18
views
gate2016ec2
numericalanswers
linearalgebra
matrices
eigenvalues
0
votes
0
answers
103
GATE ECE 2016 Set 2  Question: 2
Consider the complex valued function $f(z)=2z^{3}+b\mid z \mid^{3}$ where $z$ is a complex variable. The value of $b$ for which function $f(z)$ is analytic is _________
asked
Mar 28, 2018
in
Complex Analysis
by
Milicevic3306
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15.8k
points)

18
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gate2016ec2
numericalanswers
complexanalysis
0
votes
0
answers
104
GATE ECE 2016 Set 2  Question: 5
Consider the timevarying vector $\textbf{I}=\hat{x}15\cos(\omega t)+\hat{y}5\sin(\omega t)$ in Cartesian coordinates, where $\omega> 0$ is a constant. When the vector magnitude $\mid \textbf{I} \mid$ is at its minimum value, the angle $\theta$ that $\textbf{I}$ makes with the $x$ axis (in degrees, such that $ 0\leq \theta \leq 180)$ ________
asked
Mar 28, 2018
in
Vector Analysis
by
Milicevic3306
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15.8k
points)

50
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gate2016ec2
numericalanswers
vectoranalysis
0
votes
0
answers
105
GATE ECE 2016 Set 2  Question: 8
The figure shown an $RLC$ circuit with a sinusoidal current source. At resonance, the ratio $\mid I_{L} \mid / \mid I_{R} \mid$, i.e., the ratio of the magnitudes of the inductor current phasor and the resistor current phasor, is ________
asked
Mar 28, 2018
in
Network Solution Methods
by
Milicevic3306
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15.8k
points)

20
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gate2016ec2
numericalanswers
networksolutionmethods
rlccircuits
0
votes
0
answers
106
GATE ECE 2016 Set 2  Question: 9
The $z$parameter matrix for the twoport network shown is $\begin{bmatrix} 2j\omega &j\omega \\ j\omega & 3+2j\omega \end{bmatrix},$ where the entries are in $\Omega$. Suppose $Z_{b}\left ( j\omega \right )=R_{b}+j\omega .$ Then the value of $R_{b}$ (in $\Omega$) equals ________
asked
Mar 28, 2018
in
Control Systems
by
Milicevic3306
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15.8k
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21
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gate2016ec2
numericalanswers
controlsystems
0
votes
0
answers
107
GATE ECE 2016 Set 2  Question: 10
The energy of the signal $x(t)= \frac{\sin(4\pi t)}{4\pi t}$ is ________
asked
Mar 28, 2018
in
Continuoustime Signals
by
Milicevic3306
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15.8k
points)

13
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gate2016ec2
numericalanswers
continuoustimesignals
tobetagged
0
votes
0
answers
108
GATE ECE 2016 Set 2  Question: 13
Assume that the diode in the figure has $V_{on}=0.7 \:V$, but it otherwise ideal. The magnitude of the current $i_{2}$ in mA) is equal to _________
asked
Mar 28, 2018
in
Electronic Devices
by
Milicevic3306
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15.8k
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10
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gate2016ec2
numericalanswers
electronicdevices
0
votes
0
answers
109
GATE ECE 2016 Set 2  Question: 14
Resistor $R_{1}$ in the circuit below has been adjusted so that $I_{1}=1$ $mA$. The bipolar transistors $Q1$ and $Q2$ are perfectly matched and have very high current gain, so their base currents are negligible. The supply voltage $V_{cc}$ is $6$ $V$. The thermal ... $KT/q$ is $26$ $mV$. The value of $R_{2}$ (in $\Omega)$ for which $I_{2}=100\mu A$ is _________
asked
Mar 28, 2018
in
Electronic Devices
by
Milicevic3306
(
15.8k
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8
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gate2016ec2
numericalanswers
electronicdevices
0
votes
0
answers
110
GATE ECE 2016 Set 2  Question: 17
Assume that all the digital gates in the circuit shown in the figure are ideal, the resistor $R=10\Omega$ and the supply voltage is $5\:V$. The $D$ flipflops $D_{1} \:, D_{2} \:, D_{3} \:, D_{4}$ and $D_{5}$ are initialized with ... $0$, respectively. The clocks has a $30\%$ duty cycle. The average power dissipated (in $mW$) in the resistor $R$ is _________
asked
Mar 28, 2018
in
Digital Circuits
by
Milicevic3306
(
15.8k
points)

21
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gate2016ec2
numericalanswers
digitalcircuits
sequentialcircuit
counters
0
votes
0
answers
111
GATE ECE 2016 Set 2  Question: 19
The response of the system $G(s)=\frac{s2}{(s+1)(s+3)}$ to the unit step input $u(t)$ is $y(t)$. The value of $\frac{dy}{dt}$ at $t=0^{+}$ is _________
asked
Mar 28, 2018
in
Differential Equations
by
Milicevic3306
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15.8k
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13
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gate2016ec2
numericalanswers
differentialequations
0
votes
0
answers
112
GATE ECE 2016 Set 2  Question: 21
A discrete memoryless source has an alphabet $\left \{ a_{1},a_{2}, a_{3},a_{4}\right \}$ with corresponding probabilities $\left \{ \frac{1}{2}, \frac{1}{4},\frac{1}{8},\frac{1}{8}\right \}.$ The minimum required average codeword length in bits to represent this source for errorfree reconstruction is _________
asked
Mar 28, 2018
in
Probability and Statistics
by
Milicevic3306
(
15.8k
points)

18
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gate2016ec2
numericalanswers
probabilityandstatistics
probability
0
votes
0
answers
113
GATE ECE 2016 Set 2  Question: 22
A speech signal is sampled at $8$ $kHz$ and encoded into $PCM$ format using $8$ bits/sample. The $PCM$ data is transmitted through a baseband channel via $4$level $PAM$. The minimum bandwidth (in $kHz$) required for transmission is _________
asked
Mar 28, 2018
in
Communications
by
Milicevic3306
(
15.8k
points)

11
views
gate2016ec2
numericalanswers
digitalcommunications
pulsecodemodulationsystems
communications
0
votes
0
answers
114
GATE ECE 2016 Set 2  Question: 25
Light from free space is incident at an angle $\theta _{i}$ to the normal of the facet of a stepindex large core optical fibre. The core and cladding refractive indices are $n _{1}=1.5$ and $n _{2}=1.4$, respectively. The maximum value of $\theta _{i}$ (in degrees) for which the incident light will be guided in the core of the fibre is _________
asked
Mar 28, 2018
in
Electromagnetics
by
Milicevic3306
(
15.8k
points)

10
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gate2016ec2
numericalanswers
electromagnetics
opticalfiber
0
votes
0
answers
115
GATE ECE 2016 Set 2  Question: 26
The ordinary differential equation $\frac{dx}{dt}=3x+2, \text{ with }x(0) = 1$ is to be solved using the forward Euler method. The largest time step that can be used to solve the equation without making the numerical solution unstable is _________
asked
Mar 28, 2018
in
Differential Equations
by
Milicevic3306
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15.8k
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13
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gate2016ec2
numericalanswers
differentialequations
0
votes
0
answers
116
GATE ECE 2016 Set 2  Question: 27
Suppose $C$ is the closed curve defined as the circle $x^{2}+y^{2}=1$ with $C$ oreinted anticlockwise. The value of $\oint$ ( $xy^{2}$ $dx$ + $ x^{2}y$ $dy$ )over the curve $C$ equals _________
asked
Mar 28, 2018
in
Complex Analysis
by
Milicevic3306
(
15.8k
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13
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gate2016ec2
numericalanswers
complexanalysis
0
votes
0
answers
117
GATE ECE 2016 Set 2  Question: 29
The matrix $A=\begin{bmatrix} a & 0 &3 &7 \\ 2& 5&1 &3 \\ 0& 0& 2 &4 \\ 0&0 & 0 &b \end{bmatrix}$ has $\text{det}(A) = 100$ and $\text{trace}(A) = 14$. The value of $\mid ab \mid$ is ________
asked
Mar 28, 2018
in
Linear Algebra
by
Milicevic3306
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15.8k
points)

15
views
gate2016ec2
numericalanswers
linearalgebra
matrices
0
votes
0
answers
118
GATE ECE 2016 Set 2  Question: 31
In the circuit shown in the figure, the magnitude of the current (in amperes) through $R_{2}$ is ____
asked
Mar 28, 2018
in
Electronic Devices
by
Milicevic3306
(
15.8k
points)

13
views
gate2016ec2
numericalanswers
electronicdevices
0
votes
0
answers
119
GATE ECE 2016 Set 2  Question: 32
A continuoustime filter with transfer function $H\left ( s \right )= \frac{2s+6}{s^{2}+6s+8}$ ... sampled at $2$ $Hz$, is identical at the sampling instants to the impulse response of the discrete timefilter. The value of $k$ is _________
asked
Mar 28, 2018
in
Network Solution Methods
by
Milicevic3306
(
15.8k
points)

17
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gate2016ec2
numericalanswers
networksolutionmethods
transferfunction
0
votes
0
answers
120
GATE ECE 2016 Set 2  Question: 33
The Discrete Fourier Transform (DFT) of the $4$point sequence $x\left [ n \right ]=\left \{ x\left [ 0 \right ],x\left [ 1 \right ], x\left [ 2 \right ], x\left [ 3 \right ] \right \}= \left \{ 3,2,3,4 \right \}$ ... $\left  \frac{X_{1}\left [ 8 \right ]}{X_{1}\left [ 11 \right ]} \right $ is _________
asked
Mar 28, 2018
in
Continuoustime Signals
by
Milicevic3306
(
15.8k
points)

27
views
gate2016ec2
numericalanswers
continuoustimesignals
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