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2801
GATE ECE 2013 | Question: 1
A bulb in a staircase has two switches, one switch being at the ground floor and the other one at the first floor. The bulb can be turned ON and also can be turned OFF by any one of the switches irrespective of the state of the other switch. The logic of switching of the bulb resembles an AND gate an OR gate an XOR gate a NAND gate
A bulb in a staircase has two switches, one switch being at the ground floor and the other one at the first floor. The bulb can be turned ON and also can be turned OFF by...
Milicevic3306
16.0k
points
92
views
Milicevic3306
asked
Mar 25, 2018
Electronic Devices
gate2013-ec
electronic-devices
+
–
0
votes
0
answers
2802
GATE ECE 2012 | Question: 62
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 $5$ $6$ $9$ $10$
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. $10$ n...
Milicevic3306
16.0k
points
140
views
Milicevic3306
asked
Mar 25, 2018
Quantitative Aptitude
gate2012-ec
numerical-ability
numerical-computation
+
–
0
votes
0
answers
2803
GATE ECE 2012 | Question: 63
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 $2$ $3$ $4$ $8$
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 balanc...
Milicevic3306
16.0k
points
122
views
Milicevic3306
asked
Mar 25, 2018
Analytical Aptitude
gate2012-ec
analytical-aptitude
logical-reasoning
+
–
0
votes
0
answers
2804
GATE ECE 2012 | Question: 64
The data given in the following table summarizes the monthly budget of an average household. ... $10\%$ $14\%$ $81\%$ $86\%$
The data given in the following table summarizes the monthly budget of an average household.$$\begin{array}{|l|c|c|} \hline \textbf{Category} & \textbf{Amount(Rs.)} \\\hl...
Milicevic3306
16.0k
points
82
views
Milicevic3306
asked
Mar 25, 2018
Quantitative Aptitude
gate2012-ec
numerical-ability
percentage
+
–
0
votes
0
answers
2805
GATE ECE 2012 | Question: 65
$A$ and $B$ are friends. They decide to meet between $1:00$pm and $2:00$ pm on a given day. There is a condition that whoever arrives first will not wait for the other for more than $15$ minutes. The probability that they will meet on that day is $1/4$ $1/16$ $7/16$ $9/16$
$A$ and $B$ are friends. They decide to meet between $1:00$pm and $2:00$ pm on a given day. There is a condition that whoever arrives first will not wait for the other fo...
Milicevic3306
16.0k
points
93
views
Milicevic3306
asked
Mar 25, 2018
Quantitative Aptitude
gate2012-ec
numerical-ability
probability
+
–
0
votes
0
answers
2806
GATE ECE 2012 | Question: 56
If $(1.001)^{1259}=3.52$ and $(1.001)^{2062}=7.85,$ then $(1.001)^{3321}=?$ $2.23$ $4.33$ $11.37$ $27.64$
If $(1.001)^{1259}=3.52$ and $(1.001)^{2062}=7.85,$ then $(1.001)^{3321}=?$$2.23$$4.33$$11.37$$27.64$
Milicevic3306
16.0k
points
107
views
Milicevic3306
asked
Mar 25, 2018
Quantitative Aptitude
gate2012-ec
numerical-ability
number-system
+
–
0
votes
0
answers
2807
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
Choose the most appropriate alternative from the options given below to complete the followingsentence:If the tired soldier wanted to lie down, he _______ the mattress ou...
Milicevic3306
16.0k
points
95
views
Milicevic3306
asked
Mar 25, 2018
Verbal Aptitude
gate2012-ec
verbal-ability
english-grammar
+
–
0
votes
0
answers
2808
GATE ECE 2012 | Question: 58
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
Choose the most appropriate word from the options given below to complete the followingsentence:Given the seriousness of the situation that he had to face, his ___ was im...
Milicevic3306
16.0k
points
101
views
Milicevic3306
asked
Mar 25, 2018
Verbal Aptitude
gate2012-ec
verbal-ability
most-appropriate-word
+
–
0
votes
0
answers
2809
GATE ECE 2012 | Question: 59
Which one of the following options is the closest in meaning to the word given below? Latitude Eligibility Freedom Coercion Meticulousness
Which one of the following options is the closest in meaning to the word given below?LatitudeEligibilityFreedomCoercionMeticulousness
Milicevic3306
16.0k
points
103
views
Milicevic3306
asked
Mar 25, 2018
Verbal Aptitude
gate2012-ec
verbal-ability
most-appropriate-word
+
–
0
votes
0
answers
2810
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
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 tes...
Milicevic3306
16.0k
points
98
views
Milicevic3306
asked
Mar 25, 2018
Verbal Aptitude
gate2012-ec
verbal-ability
english-grammar
+
–
0
votes
0
answers
2811
GATE ECE 2012 | Question: 61
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. ... seniors. The harsh discipline to which the legions were subjected to led to the odds and conditions being against them.
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 obedie...
Milicevic3306
16.0k
points
113
views
Milicevic3306
asked
Mar 25, 2018
Verbal Aptitude
gate2012-ec
verbal-ability
verbal-reasoning
passage-reading
+
–
0
votes
0
answers
2812
GATE ECE 2012 | Question: 49
With $10\:V$ dc connected at port A in the linear nonreciprocal two-port 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$ $7\:V$ $8\:V$ $9\:V$
With $10\:V$ dc connected at port A in the linear nonreciprocal two-port network shown below, the following were observed:$1\: \Omega$ connected at port B draws a current...
Milicevic3306
16.0k
points
148
views
Milicevic3306
asked
Mar 25, 2018
Network Solution Methods
gate2012-ec
two-port-network
network-solution-methods
+
–
0
votes
0
answers
2813
GATE ECE 2012 | Question: 50
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 ... $0.7\:fF$ $0.7\:pF$ $0.35\:fF$ $0.24\:pF$
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 ev...
Milicevic3306
16.0k
points
132
views
Milicevic3306
asked
Mar 25, 2018
Analog Circuits
gate2012-ec
analog-circuits
mos-transistor
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–
0
votes
0
answers
2814
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$
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 ev...
Milicevic3306
16.0k
points
78
views
Milicevic3306
asked
Mar 25, 2018
Analog Circuits
gate2012-ec
analog-circuits
mos-transistor
+
–
0
votes
0
answers
2815
GATE ECE 2012 | Question: 52
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$ ... $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$
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 t...
Milicevic3306
16.0k
points
115
views
Milicevic3306
asked
Mar 25, 2018
Electronic Devices
gate2012-ec
carrier-transport
electronic-devices
+
–
0
votes
0
answers
2816
GATE ECE 2012 | Question: 53
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 ... uniform and depends only on $d$ uniform and depends only on $b$ uniform and depends only on both $b$ and $d$ non uniform
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 len...
Milicevic3306
16.0k
points
222
views
Milicevic3306
asked
Mar 25, 2018
Electronic Devices
gate2012-ec
electronic-devices
carrier-transport
+
–
0
votes
0
answers
2817
GATE ECE 2012 | Question: 54
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$
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$
Milicevic3306
16.0k
points
190
views
Milicevic3306
asked
Mar 25, 2018
Network Solution Methods
gate2012-ec
network-solution-methods
transfer-function
+
–
0
votes
0
answers
2818
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
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}...
Milicevic3306
16.0k
points
104
views
Milicevic3306
asked
Mar 25, 2018
Network Solution Methods
gate2012-ec
network-solution-methods
diodes
transfer-function
+
–
0
votes
0
answers
2819
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 $0$ $\frac{1}{2}$ $1$ $\frac{3}{2}$
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 $y =\frac{1}{2}$, then $g $ equa...
Milicevic3306
16.0k
points
92
views
Milicevic3306
asked
Mar 25, 2018
Continuous-time Signals
gate2012-ec
continuous-time-signals
signals-and-systems
convolution
+
–
0
votes
0
answers
2820
GATE ECE 2012 | Question: 43
The state transition diagram for the logic circuit shown is
The state transition diagram for the logic circuit shown is
Milicevic3306
16.0k
points
122
views
Milicevic3306
asked
Mar 25, 2018
Number Representations
gate2012-ec
digital-circuits
+
–
0
votes
0
answers
2821
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$ $\mid A_v \mid \approx 10$
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$$\mid A_v \mid \approx 10$
Milicevic3306
16.0k
points
88
views
Milicevic3306
asked
Mar 25, 2018
Analog Circuits
gate2012-ec
analog-circuits
+
–
0
votes
0
answers
2822
GATE ECE 2012 | Question: 45
If $V_A-V_B=6\:V$, then $V_C-V_D$ is $-5\:V$ $2\:V$ $3\:V$ $6\:V$
If $V_A-V_B=6\:V$, then $V_C-V_D$ is$-5\:V$$2\:V$$3\:V$$6\:V$
Milicevic3306
16.0k
points
84
views
Milicevic3306
asked
Mar 25, 2018
Others
gate2012-ec
to-be-tagged
+
–
0
votes
0
answers
2823
GATE ECE 2012 | Question: 46
The maximum value of $f(x)=x^3-9x^2+24x+5$ in the interval $[1,6]$ is $21$ $25$ $41$ $46$
The maximum value of $f(x)=x^3-9x^2+24x+5$ in the interval $[1,6]$ is$21$$25$$41$$46$
Milicevic3306
16.0k
points
85
views
Milicevic3306
asked
Mar 25, 2018
Calculus
gate2012-ec
calculus
maxima-minima
+
–
0
votes
0
answers
2824
GATE ECE 2012 | Question: 47
Given that $A=\begin{bmatrix} -5 &-3 \\ 2 &0\end{bmatrix}$ and $I=\begin{bmatrix} 1 & 0 \\ 0 &1\end{bmatrix}$, the value of $A^3$ is $15\:A+12\:I$ $19\:A+30\:I$ $17\:A+15\:I$ $17\:A+21\:I$
Given that$A=\begin{bmatrix} -5 &-3 \\ 2 &0\end{bmatrix}$ and $I=\begin{bmatrix} 1 & 0 \\ 0 &1\end{bmatrix}$, the value of $A^3$ is$15\:A+12\:I$$19\:A+30\:I$$17\:A+15\:I$...
Milicevic3306
16.0k
points
105
views
Milicevic3306
asked
Mar 25, 2018
Linear Algebra
gate2012-ec
linear-algebra
matrices
+
–
0
votes
0
answers
2825
GATE ECE 2012 | Question: 48
With $10\:V$ dc connected at port A in the linear nonreciprocal two-port network shown below, the following were observed: $1\: \Omega$ connected at port B draws a current of $3\:A$ $2.5\: \Omega$ connected at port B draws a current of $2\:A$ With $10\: V$ dc connected at ... $\frac{3}{7}\: A$ $\frac{5}{7}\: A$ $1\: A$ $\frac{9}{7}\: A$
With $10\:V$ dc connected at port A in the linear nonreciprocal two-port network shown below, the following were observed:$1\: \Omega$ connected at port B draws a current...
Milicevic3306
16.0k
points
120
views
Milicevic3306
asked
Mar 25, 2018
Network Solution Methods
gate2012-ec
two-port-network
network-solution-methods
+
–
0
votes
0
answers
2826
GATE ECE 2012 | Question: 35
The direction of vector $A$ is radially outward from the origin, with $|A|=kr^n$ where $r^2=x^2+y^2+z^2$ and $k$ is a constant. The value of $n$ for which $\triangledown.A=0$ is $-2$ $2$ $1$ $0$
The direction of vector $A$ is radially outward from the origin, with $|A|=kr^n$ where $r^2=x^2+y^2+z^2$ and $k$ is a constant. The value of $n$ for which $\triangledown....
Milicevic3306
16.0k
points
198
views
Milicevic3306
asked
Mar 25, 2018
Vector Analysis
gate2012-ec
vector-analysis
+
–
0
votes
1
answer
2827
GATE ECE 2012 | Question: 36
A fair coin is tossed till head appears for the first time. The probability that the number of required tosses is odd, is $\frac{1}{3}$ $\frac{1}{2}$ $\frac{2}{3}$ $\frac{3}{4}$
A fair coin is tossed till head appears for the first time. The probability that the number of required tosses is odd, is$\frac{1}{3}$$\frac{1}{2}$$\frac{2}{3}$$\frac{3}{...
Milicevic3306
16.0k
points
171
views
Milicevic3306
asked
Mar 25, 2018
Probability and Statistics
gate2012-ec
probability-and-statistics
probability
+
–
0
votes
0
answers
2828
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 $V_{in}\lt 1.875\:V$ $1.875\:V\lt V_{in}\lt 3.125\:V$ $V_{in}\gt 3.125\:V$ $0\lt V_{in}\lt 5\:V$
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$$1.8...
Milicevic3306
16.0k
points
79
views
Milicevic3306
asked
Mar 25, 2018
Electronic Devices
gate2012-ec
electronic-devices
cmos
+
–
0
votes
0
answers
2829
GATE ECE 2012 | Question: 38
A binary symmetric channel (BSC) has a transition probability of $\frac{1}{8}$. If the binary transmit symbol $X$ is such that $P(X=0)\:=\:\frac{9}{10}$, then the probability of error for an optimum receiver will be $\frac{7}{80}$ $\frac{63}{80}$ $\frac{9}{10}$ $\frac{1}{10}$
A binary symmetric channel (BSC) has a transition probability of $\frac{1}{8}$. If the binary transmit symbol $X$ is such that $P(X=0)\:=\:\frac{9}{10}$, then the probabi...
Milicevic3306
16.0k
points
235
views
Milicevic3306
asked
Mar 25, 2018
Probability and Statistics
gate2012-ec
probability-and-statistics
probability
+
–
0
votes
0
answers
2830
GATE ECE 2012 | Question: 39
The signal $m(t)$ as shown is applied both to a phase modulator (with $k_p$ as the phase constant) and a frequency modulator (with $k_f$ as the frequency constant) having the same carrier frequency. The ratio $\frac{k_p}{k_f}$ (in $rad/Hz$) for the same maximum phase deviation is $8\pi$ $4\pi$ $2\pi$ $\pi$
The signal $m(t)$ as shown is applied both to a phase modulator (with $k_p$ as the phase constant) and a frequency modulator (with $k_f$ as the frequency constant) having...
Milicevic3306
16.0k
points
146
views
Milicevic3306
asked
Mar 25, 2018
Communications
gate2012-ec
communications
frequency-modulation
+
–
0
votes
0
answers
2831
GATE ECE 2012 | Question: 40
The magnetic field along the propagation direction inside a rectangular waveguide with the cross-section shown in the figure is $H_Z=3\:\cos(2.094\times10^2x)\:\cos(2.618\times10^2y)\:\cos(6.283\times10^{10}t-\beta z)$ The phase velocity $v_p$ of the wave inside the waveguide satisfies $v_p\gt c$ $v_p=c$ $0\lt v_p\lt c$ $v_p=0$
The magnetic field along the propagation direction inside a rectangular waveguide with the cross-section shown in the figure is$$H_Z=3\:\cos(2.094\times10^2x)\:\cos(2.618...
Milicevic3306
16.0k
points
223
views
Milicevic3306
asked
Mar 25, 2018
Electromagnetics
gate2012-ec
electromagnetics
propagation
+
–
0
votes
0
answers
2832
GATE ECE 2012 | Question: 41
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 $f_{3\:dB}=\frac{1}{(R_1+R_2)C}\: rad/s$
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...
Milicevic3306
16.0k
points
128
views
Milicevic3306
asked
Mar 25, 2018
Continuous-time Signals
gate2012-ec
continuous-time-signals
digital-filter-design-techniques
+
–
0
votes
0
answers
2833
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 ... $Q(\sqrt{\frac{E}{N_o}})$ $Q(\sqrt{\frac{E}{2N_o}})$ $Q(\sqrt{\frac{E}{4N_o}})$
A BPSK scheme operating over an AWGN channel with noise power spectral density of $\frac{N_o}{2}$, uses equiprobable signals $s_1(t)=\sqrt{\frac{2E}{T}}\sin(\omega_ct)$ a...
Milicevic3306
16.0k
points
94
views
Milicevic3306
asked
Mar 25, 2018
Communications
gate2012-ec
communications
autocorrelation-and-power-spectral-density
+
–
0
votes
0
answers
2834
GATE ECE 2012 | Question: 28
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 $82.5\:cm$ $1.05\:m$ $1.58\:m$ $1.75\:m$
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...
Milicevic3306
16.0k
points
78
views
Milicevic3306
asked
Mar 25, 2018
Electromagnetics
gate2012-ec
electromagnetics
transmission-lines
+
–
0
votes
0
answers
2835
GATE ECE 2012 | Question: 29
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 time-invariant and stable stable and not time-invariant time-invariant and not stable not time-invariant and not stable
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 istime-invariant and stablestable and not...
Milicevic3306
16.0k
points
77
views
Milicevic3306
asked
Mar 25, 2018
Analog Circuits
gate2012-ec
analog-circuits
+
–
0
votes
0
answers
2836
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 $a=0.5$
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$$K=2$ and $a=0.5$
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Analog Circuits
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analog-circuits
oscillator
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2837
GATE ECE 2012 | Question: 31
The Fourier transform of a signal $h(t)$ is $H(j\omega)=(2\cos\omega)(\sin2\omega)/\omega$. The value of $h(0)$ is $\frac{1}{4}$ $\frac{1}{2}$ $1$ $2$
The Fourier transform of a signal $h(t)$ is $H(j\omega)=(2\cos\omega)(\sin2\omega)/\omega$. The value of $h(0)$ is$\frac{1}{4}$$\frac{1}{2}$$1$$2$
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Continuous-time Signals
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continuous-time-signals
signals-and-systems
fourier-transform
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2838
GATE ECE 2012 | Question: 32
The state variable description of an LTI system is given by ... $a_1\neq 0,a_2=0,a_3\neq 0$ $a_1=0,a_2\neq0,a_3\neq 0$ $a_1=0,a_2\neq0,a_3=0$ $a_1\neq 0,a_2\neq0,a_3=0$
The state variable description of an LTI system is given by$$\begin{pmatrix} \dot{x_1}\\ \dot{x_2}\\ \dot{x_3} \end{pmatrix}=\begin{pmatrix} 0 & a_1 & 0\\ 0 & 0 & a_2\\a_...
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Continuous-time Signals
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continuous-time-signals
signals-and-systems
linear-time-invariant-systems
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2839
GATE ECE 2012 | Question: 33
Assuming both the voltage sources are in phase, the value of $R$ for which maximum power is transferred from circuit $A$ to circuit $B$ is $0.8\:\Omega$ $1.4\:\Omega$ $2\:\Omega$ $2.8\:\Omega$
Assuming both the voltage sources are in phase, the value of $R$ for which maximum power is transferred from circuit $A$ to circuit $B$ is$0.8\:\Omega$$1.4\:\Omega$$2\:\O...
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Analog Circuits
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analog-circuits
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2840
GATE ECE 2012 | Question: 34
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 $-2$ $-1$ $0$ $1$
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 val...
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Differential Equations
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differential-equations
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