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1
GATE201265
$A$ 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 $1/4$ $1/16$ $7/16$ $9/16$
asked
Mar 25, 2018
in
Numerical Ability
by
Milicevic3306
(
15.7k
points)
gate2012ec
0
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0
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2
GATE201264
The data given in the following table summarizes the monthly budget of an average household. ... $10\%$ $14\%$ $81\%$ $86\%$
asked
Mar 25, 2018
in
Numerical Ability
by
Milicevic3306
(
15.7k
points)
gate2012ec
0
votes
0
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3
GATE201263
There are eight bags of rice looking alike, seven of which have equal weight and one is slightly heavier. The weighing balance is of unlimited capacity. Using this balance, the minimum number of weighings required to identify the heavier bag is $2$ $3$ $4$ $8$
asked
Mar 25, 2018
in
Numerical Ability
by
Milicevic3306
(
15.7k
points)
gate2012ec
0
votes
0
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4
GATE201262
Raju has $14$ currency notes in his pocket consisting of only Rs. $20$ notes and Rs. $10$ notes. The total money value of the notes is Rs. $230$. The number of Rs. $10$ notes that Raju has is $5$ $6$ $9$ $10$
asked
Mar 25, 2018
in
Numerical Ability
by
Milicevic3306
(
15.7k
points)
gate2012ec
0
votes
0
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5
GATE201261
One of the legacies of the Roman legions was discipline. In the legions, military law prevailed and discipline was brutal. Discipline on the battlefield kept units obedient, intact and fighting, even when the odds and conditions were against them. Which one ... their seniors. The harsh discipline to which the legions were subjected to led to the odds and conditions being against them.
asked
Mar 25, 2018
in
Verbal Ability
by
Milicevic3306
(
15.7k
points)
gate2012ec
0
votes
0
answers
6
GATE201260
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
asked
Mar 25, 2018
in
Verbal Ability
by
Milicevic3306
(
15.7k
points)
gate2012ec
0
votes
0
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7
GATE201259
Which one of the following options is the closest in meaning to the word given below? Latitude Eligibility Freedom Coercion Meticulousness
asked
Mar 25, 2018
in
Verbal Ability
by
Milicevic3306
(
15.7k
points)
gate2012ec
0
votes
0
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8
GATE201258
Choose the most appropriate word from the options given below to complete the following sentence: Given the seriousness of the situation that he had to face, his ___ was impressive. beggary nomenclature jealousy nonchalance
asked
Mar 25, 2018
in
Verbal Ability
by
Milicevic3306
(
15.7k
points)
gate2012ec
0
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0
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9
GATE201257
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
asked
Mar 25, 2018
in
Verbal Ability
by
Milicevic3306
(
15.7k
points)
gate2012ec
badquestion
0
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10
GATE201256
If $(1.001)^{1259}=3.52$ and $(1.001)^{2062}=7.85,$ then $(1.001)^{3321}=?$ $2.23$ $4.33$ $11.37$ $27.64$
asked
Mar 25, 2018
in
Numerical Ability
by
Milicevic3306
(
15.7k
points)
gate2012ec
0
votes
0
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11
GATE201255
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
asked
Mar 25, 2018
in
Others
by
Milicevic3306
(
15.7k
points)
gate2012ec
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12
GATE201254
The transfer function of a compensator is given as $G_c(s)=\frac{s+a}{s+b}$ $G_c(s)$ is a lead compensator if $a=1,b=2$ $a=3,b=2$ $a=3,b=1$ $a=3,b=1$
asked
Mar 25, 2018
in
Others
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Milicevic3306
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15.7k
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gate2012ec
0
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0
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13
GATE201253
An infinitely long uniform solid wire of radius $a$ carries a uniform dc current of density $\overrightarrow{j}$. A hole of radius $b$ (b < a) ia now drilled along the length of the wire at a distance $d$ from the center of the wire as shown below. The ... hole is uniform and depends only on $d$ uniform and depends only on $b$ uniform and depends only on both $b$ and $d$ non uniform
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Mar 25, 2018
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Milicevic3306
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15.7k
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gate2012ec
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14
GATE201252
An infinitely long uniform solid wire of radius $a$ carries a uniform dc current of density $\overrightarrow{j}$. The magnetic field at a distance $r$ from the center of the wire is proportional to $r$ for $r\lt a$ and $\frac{1}{r^2}$ for $r\gt a$ $0$ for $r\lt a$ and $\frac{1}{r}$ ... $r\lt a$ and $\frac{1}{r}$ for $r\gt a$ $0$ for $r\lt a$ and $\frac{1}{r^2}$ for $r\gt a$
asked
Mar 25, 2018
in
Others
by
Milicevic3306
(
15.7k
points)
gate2012ec
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15
GATE201251
In the three dimensional view of a silicon nchannel MOS transistor shown below, $\delta=20\:nm$. The transistor is of width $1\: \mu m$. The depletion width formed at every pn junction is $10\:nm$. The relative permittivities of $Si$ and $SiO_2$, respectively, are $11.7$ ... $2\:fF$ $7\:fF$ $2\:pF$ $7\:pF$
asked
Mar 25, 2018
in
Others
by
Milicevic3306
(
15.7k
points)
gate2012ec
0
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16
GATE201250
In the three dimensional view of a silicon nchannel MOS transistor shown below, $\delta=20\:nm$. The transistor is of width $1\: \mu m$. The depletion width formed at every pn junction is $10\:nm$. The relative permittivities of $Si$ and $SiO_2$, respectively, are $11.7$ and ... $0.7\:fF$ $0.7\:pF$ $0.35\:fF$ $0.24\:pF$
asked
Mar 25, 2018
in
Others
by
Milicevic3306
(
15.7k
points)
gate2012ec
0
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0
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17
GATE201249
With $10\:V$ dc connected at port A in the linear nonreciprocal twoport network shown below, the following were observed: $1\: \Omega$ connected at port B draws a current of $3\:A$ $2.5\: \Omega$ connected at port B draws a current of $2\:A$ For the same network, with $6\: V$ dc ... . If $8\:V$ dc is connected to port A, the open circuit voltage at port B is $6\:V$ $7\:V$ $8\:V$ $9\:V$
asked
Mar 25, 2018
in
Others
by
Milicevic3306
(
15.7k
points)
gate2012ec
0
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0
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18
GATE201248
With $10\:V$ dc connected at port A in the linear nonreciprocal twoport network shown below, the following were observed: $1\: \Omega$ connected at port B draws a current of $3\:A$ $2.5\: \Omega$ connected at port B draws a current of $2\:A$ With $10\: V$ dc connected at port A, the ... $\frac{3}{7}\: A$ $\frac{5}{7}\: A$ $1\: A$ $\frac{9}{7}\: A$
asked
Mar 25, 2018
in
Others
by
Milicevic3306
(
15.7k
points)
gate2012ec
0
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0
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19
GATE201247
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 $15\:A+12\:I$ $19\:A+30\:I$ $17\:A+15\:I$ $17\:A+21\:I$
asked
Mar 25, 2018
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Others
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Milicevic3306
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15.7k
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gate2012ec
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0
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20
GATE201246
The maximum value of $f(x)=x^39x^2+24x+5$ in the interval $[1,6]$ is $21$ $25$ $41$ $46$
asked
Mar 25, 2018
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Others
by
Milicevic3306
(
15.7k
points)
gate2012ec
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0
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21
GATE201245
If $V_AV_B=6\:V$, then $V_CV_D$ is $5\:V$ $2\:V$ $3\:V$ $6\:V$
asked
Mar 25, 2018
in
Others
by
Milicevic3306
(
15.7k
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gate2012ec
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22
GATE201244
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$ $\mid A_v \mid \approx 10$
asked
Mar 25, 2018
in
Others
by
Milicevic3306
(
15.7k
points)
gate2012ec
0
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23
GATE201243
The state transition diagram for the logic circuit shown is
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Mar 25, 2018
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Others
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15.7k
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gate2012ec
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24
GATE201242
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 $0$ $\frac{1}{2}$ $1$ $\frac{3}{2}$
asked
Mar 25, 2018
in
Others
by
Milicevic3306
(
15.7k
points)
gate2012ec
0
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0
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25
GATE201241
The circuit shown is a low pass filter with $f_{3\:dB}=\frac{1}{(R_1+R_2)C}\: rad/s$ high pass filter with $f_{3\:dB}=\frac{1}{R_1C}\: rad/s$ low pass filter with $f_{3\:dB}=\frac{1}{R_1C}\: rad/s$ high pass filter with $f_{3\:dB}=\frac{1}{(R_1+R_2)C}\: rad/s$
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Mar 25, 2018
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Others
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Milicevic3306
(
15.7k
points)
gate2012ec
0
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0
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26
GATE201240
The magnetic field along the propagation direction inside a rectangular waveguide with the crosssection shown in the figure is $H_Z=3\:\cos(2.094\times10^2x)\:\cos(2.618\times10^2y)\:\cos(6.283\times10^{10}t\beta z)$ The phase velocity $v_p$ of the wave inside the waveguide satisfies $v_p\gt c$ $v_p=c$ $0\lt v_p\lt c$ $v_p=0$
asked
Mar 25, 2018
in
Others
by
Milicevic3306
(
15.7k
points)
gate2012ec
0
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0
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27
GATE201239
The signal $m(t)$ as shown is applied both to a phase modulator (with $k_p$ as the phase constant) and a frequency modulator (with $k_f$ as the frequency constant) having the same carrier frequency. The ratio $\frac{k_p}{k_f}$ (in $rad/Hz$) for the same maximum phase deviation is $8\pi$ $4\pi$ $2\pi$ $\pi$
asked
Mar 25, 2018
in
Others
by
Milicevic3306
(
15.7k
points)
gate2012ec
0
votes
0
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28
GATE201238
A binary symmetric channel (BSC) has a transition probability of $\frac{1}{8}$. If the binary transmit symbol $X$ is such that $P(X=0)\:=\:\frac{9}{10}$, then the probability of error for an optimum receiver will be $\frac{7}{80}$ $\frac{63}{80}$ $\frac{9}{10}$ $\frac{1}{10}$
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Mar 25, 2018
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Milicevic3306
(
15.7k
points)
gate2012ec
0
votes
0
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29
GATE201237
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 $V_{in}\lt 1.875\:V$ $1.875\:V\lt V_{in}\lt 3.125\:V$ $V_{in}\gt 3.125\:V$ $0\lt V_{in}\lt 5\:V$
asked
Mar 25, 2018
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Others
by
Milicevic3306
(
15.7k
points)
gate2012ec
0
votes
1
answer
30
GATE201236
A fair coin is tossed till head appears for the first time. The probability that the number of required tosses is odd, is $\frac{1}{3}$ $\frac{1}{2}$ $\frac{2}{3}$ $\frac{3}{4}$
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Mar 25, 2018
in
Others
by
Milicevic3306
(
15.7k
points)
gate2012ec
0
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0
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31
GATE201235
The direction of vector $A$ is radially outward from the origin, with $A=kr^n$ where $r^2=x^2+y^2+z^2$ and $k$ is a constant. The value of $n$ for which $\triangledown.A=0$ is $2$ $2$ $1$ $0$
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Mar 25, 2018
in
Others
by
Milicevic3306
(
15.7k
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gate2012ec
0
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0
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32
GATE201234
Consider the differential equation $\frac{d^2y(t)}{dt^2}+2\frac{dy(t)}{dt}+y(t)=\delta(t)$ with $y(t)\big_{t=0^}=2$ and $\frac{dy}{dt}\big_{t=0^}=0$. The numerical value of $\frac{dy}{dt}\big_{t=0^+}$ is $2$ $1$ $0$ $1$
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Mar 25, 2018
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Milicevic3306
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15.7k
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gate2012ec
0
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0
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33
GATE201233
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 $0.8\:\Omega$ $1.4\:\Omega$ $2\:\Omega$ $2.8\:\Omega$
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Mar 25, 2018
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Milicevic3306
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15.7k
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gate2012ec
0
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0
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34
GATE201232
The state variable description of an LTI system is given by ... for $a_1\neq 0,a_2=0,a_3\neq 0$ $a_1=0,a_2\neq0,a_3\neq 0$ $a_1=0,a_2\neq0,a_3=0$ $a_1\neq 0,a_2\neq0,a_3=0$
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Mar 25, 2018
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Others
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Milicevic3306
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15.7k
points)
gate2012ec
0
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0
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35
GATE201231
The Fourier transform of a signal $h(t)$ is $H(j\omega)=(2\cos\omega)(\sin2\omega)/\omega$. The value of $h(0)$ is $\frac{1}{4}$ $\frac{1}{2}$ $1$ $2$
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Mar 25, 2018
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15.7k
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gate2012ec
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36
GATE201230
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 $a=0.5$
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Mar 25, 2018
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15.7k
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gate2012ec
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37
GATE201229
The input $x(t)$ and output $y(t)$ of a system are related as $y(t)=\underset{\infty}{\int}x(\tau)\cos(3\tau)d\tau$. The system is timeinvariant and stable stable and not timeinvariant timeinvariant and not stable not timeinvariant and not stable
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Mar 25, 2018
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gate2012ec
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38
GATE201228
A trasmission line with a characteristic impedance of $100\:\Omega$ is used to match a $50\:\Omega$ section to a $200\:\Omega$ section. If the matching is to be done both at $429\:MHz$ and $1\:GHz$, the length of the transmission line can be approximately $82.5\:cm$ $1.05\:m$ $1.58\:m$ $1.75\:m$
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Mar 25, 2018
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Milicevic3306
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15.7k
points)
gate2012ec
0
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39
GATE201227
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 in a ... $Q(\sqrt{\frac{E}{N_o}})$ $Q(\sqrt{\frac{E}{2N_o}})$ $Q(\sqrt{\frac{E}{4N_o}})$
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Mar 25, 2018
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Others
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Milicevic3306
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15.7k
points)
gate2012ec
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0
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40
GATE201226
The source of a silicon ($n_i=10^{10}\:per\:cm^3$) nchannel MOS transistor has an area of $1\:sq\:\mu m$ and a depth of $1\:\mu m$. If the dopant density in the source is $10^{19}/cm^3$, the number of holes in the source region with the above volume is approximately $10^7$ $100$ $10$ $0$
asked
Mar 25, 2018
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Others
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Milicevic3306
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15.7k
points)
gate2012ec
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