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Recent questions tagged gateec-2021
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41
GATE ECE 2021 | Question: 27
A box contains the following three coins. A fair coin with head on one face and tail on the other face. A coin with heads on both the faces. A coin with tails on both the faces. A coin is picked randomly from the box and tossed. Out of the two remaining coins in the box, one ... getting a head in the second toss is $\frac{2}{5}$ $\frac{1}{3}$ $\frac{1}{2}$ $\frac{2}{3}$
Arjun
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Probability and Statistics
Feb 20, 2021
by
Arjun
5.9k
points
209
views
gateec-2021
probability-and-statistics
probability
conditional-probability
0
votes
0
answers
42
GATE ECE 2021 | Question: 28
The switch in the circuit in the figure is in position $P$ for a long time and then moved to position $Q$ at time $t=0$. The value of $\dfrac{dv\left ( t \right )}{dt}$ at $t=0^{+}$ is $0\:V/s$ $3\:V/s$ $-3\:V/s$ $-5\:V/s$
Arjun
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Others
Feb 20, 2021
by
Arjun
5.9k
points
92
views
gateec-2021
0
votes
0
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43
GATE ECE 2021 | Question: 29
Consider the two-port network shown in the figure. The admittance parameters, in siemens, are $y_{11}=2,\:y_{12}=-4,\:y_{21}=-4,\:y_{22}=2$ $y_{11}=1,\:y_{12}=-2,\:y_{21}=-1,\:y_{22}=3$ $y_{11}=2,\:y_{12}=-4,\:y_{21}=-1,\:y_{22}=2$ $y_{11}=2,\:y_{12}=-4,\:y_{21}=-4,\:y_{22}=3$
Arjun
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Others
Feb 20, 2021
by
Arjun
5.9k
points
55
views
gateec-2021
0
votes
0
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44
GATE ECE 2021 | Question: 34
A digital transmission system uses a ($7,4$) systematic linear Hamming code for transmitting data over a noisy channel. If three of the message-codeword pairs in this code ($\text{m}_{i}$ ; $\text{c}_{i}$), where $\text{c}_{i}$ is the ... $\text{valid codeword}$ in this code? $1101001$ $1011010$ $0001011$ $0110100$
Arjun
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Others
Feb 20, 2021
by
Arjun
5.9k
points
84
views
gateec-2021
0
votes
0
answers
45
GATE ECE 2021 | Question: 35
The impedance matching network shown n the figure is to match a lossless line having characteristic impedance $Z_{0}= 50 \:\Omega$ with a load impedance $Z_{L}$. A quarter-wave line having a characteristic impedance $Z_1=75\:\Omega$ is connected to $Z_{L}$. Two stubs having ... the real part of $Z_{L}$ is $112.5\:\Omega$ $75.0\:\Omega$ $50.0\:\Omega$ $33.3\:\Omega$
Arjun
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Others
Feb 20, 2021
by
Arjun
5.9k
points
80
views
gateec-2021
0
votes
0
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46
GATE ECE 2021 | Question: 36
A real $2\times2$ non-singular matrix $A$ with repeated eigenvalue is given as $A=\begin{bmatrix} x & -3.0\\ 3.0 & 4.0 \end{bmatrix}$ where $x$ is a real positive number. The value of $x$ (rounded off to one decimal place) is ________________
Arjun
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in
Linear Algebra
Feb 20, 2021
by
Arjun
5.9k
points
94
views
gateec-2021
numerical-answers
linear-algebra
eigen-values
0
votes
0
answers
47
GATE ECE 2021 | Question: 37
For a vector field $D=\rho\cos^{2}\:\varphi \:a_{\rho }+z^{2}\sin^{2}\:\varphi \:a_{\varphi }$ in a cylindrical coordinate system $\left ( \rho ,\varphi ,z \right )$ with unit vectors $a_{\rho },a_{\varphi }$ and $a_{z}$, the ... $\left ( \rho =3, 0\leq z\leq 2 \right )$ (rounded off to two decimal places) is ________________
Arjun
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Vector Analysis
Feb 20, 2021
by
Arjun
5.9k
points
55
views
gateec-2021
numerical-answers
vector-analysis
0
votes
0
answers
48
GATE ECE 2021 | Question: 38
In the circuit shown in the figure, the switch is closed at time $t=0$, while the capacitor is initially charged to $-5\:V$ (i.e., $v_{c}(0)=-5V$). The time after which the voltage across the capacitor becomes zero (rounded off to three decimal places) is ________________ $\text{ms}$.
Arjun
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Others
Feb 20, 2021
by
Arjun
5.9k
points
58
views
gateec-2021
numerical-answers
0
votes
0
answers
49
GATE ECE 2021 | Question: 39
The exponential Fourier series representation of a continuous-time periodic signal $x(t)$ is defined as $x\left ( t \right )=\sum_{k=-\infty }^{\infty }a_{k}e^{jk\omega _{0}t}$ where $\omega _0$ ... $x(t)$ (rounded off to one decimal place) is ______________
Arjun
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Others
Feb 20, 2021
by
Arjun
5.9k
points
50
views
gateec-2021
numerical-answers
0
votes
0
answers
50
GATE ECE 2021 | Question: 40
For a unit step input $u[n]$, a discrete-time $\text{LTI}$ system produces an output signal $\left ( 2\delta \left [ n+1 \right ] +\delta \left [ n \right ]+\delta \left [ n-1 \right ]\right )$. Let $y[n]$ be the output of the system for an input $\left ( \left ( \dfrac{1}{2} \right )^n u\left [ n \right ]\right )$. The value of $y[0]$ is _________________
Arjun
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Others
Feb 20, 2021
by
Arjun
5.9k
points
41
views
gateec-2021
numerical-answers
0
votes
0
answers
51
GATE ECE 2021 | Question: 41
Consider the signals $x\left [ n \right ]=2^{n-1}u\left [ -n+2 \right ]$ and $y\left [ n \right ]=2^{-n+2}u\left [ n+1 \right ]$, where $u[n]$ is the unit step sequence. Let $X(e^{jw})$ and $Y(e^{jw})$ be the discrete-time Fourier ... (rounded off to one decimal place) is ___________
Arjun
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Others
Feb 20, 2021
by
Arjun
5.9k
points
31
views
gateec-2021
numerical-answers
0
votes
0
answers
52
GATE ECE 2021 | Question: 42
A silicon $P-N$ junction is shown in the figure. The doping in the $P$ region is $5\times10^{16}\:cm^{-3}$ and doping in the $N$ region is $10\times10^{16}\:cm^{-3}$ ... completely deplete one of the two regions ($P$ or $N$) prior to the other (rounded off to one decimal place) is ______________________ $V$.
Arjun
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Others
Feb 20, 2021
by
Arjun
5.9k
points
42
views
gateec-2021
numerical-answers
0
votes
0
answers
53
GATE ECE 2021 | Question: 43
An asymmetrical periodic pulse train $v_{in}$ of $10\:V$ amplitude with on-time $T_{\text{ON}}=1\:ms$ and off-time $T_{\text{OFF}}=1\:\mu s$ is applied to the circuit shown in the figure. The diode $D_{1}$ is ideal. The difference between the maximum voltage and minimum voltage of the output waveform $v_{o}$ (in integer) is ______________ $V$.
Arjun
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Others
Feb 20, 2021
by
Arjun
5.9k
points
74
views
gateec-2021
numerical-answers
0
votes
0
answers
54
GATE ECE 2021 | Question: 44
For the transistor $M_{1}$ in the circuit shown in the figure, $\mu_{n} C_{\text{ox}} = 100\:\mu A/V^{2}$ and $(W/L)=10$, where $\mu_{n}$ is the mobility of electron, $C_{\text{ox}}$ is the oxide capacitance ... $V$.
Arjun
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Others
Feb 20, 2021
by
Arjun
5.9k
points
42
views
gateec-2021
numerical-answers
0
votes
0
answers
55
GATE ECE 2021 | Question: 45
A circuit with an ideal $\text{OPAMP}$ is shown in the figure. A pulse $V_{\text{IN}}$ of $20\:ms$ duration is applied to the input. The capacitors are initially uncharged. The output voltage $V_{\text{OUT}}$ of this circuit at $t=0^{+}$ (in integer) is ____________________ $V$.
Arjun
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Others
Feb 20, 2021
by
Arjun
5.9k
points
32
views
gateec-2021
numerical-answers
0
votes
0
answers
56
GATE ECE 2021 | Question: 46
The propagation delay of the exclusive$-\text{OR}$ ($\text{XOR}$) gate in the circuit in the figure is $3\:ns$. The propagation delay of all the flip-flops is assumed to be zero. The clock ($\text{Clk}$ ... of triggering clock edges after which the flip-flop outputs $Q_{2}Q_{1}Q_{0}$ becomes $1\; 0\; 0$ (in integer) is
Arjun
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Digital Circuits
Feb 20, 2021
by
Arjun
5.9k
points
123
views
gateec-2021
numerical-answers
digital-circuits
sequential-circuit
counters
0
votes
0
answers
57
GATE ECE 2021 | Question: 47
The circuit in the figure contains a current source driving a load having an inductor and a resistor in series, with a shunt capacitor across the load. The ammeter is assumed to have zero resistance. The switch is closed at time ... maximum ammeter reading that one will observe after the switch is closed (rounded off to two decimal places) is _______________ $A$.
Arjun
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Others
Feb 20, 2021
by
Arjun
5.9k
points
64
views
gateec-2021
numerical-answers
0
votes
0
answers
58
GATE ECE 2021 | Question: 48
A unity feedback system that uses proportional-integral ($\text{PI}$) control is shown in the figure. The stability of the overall system is controlled by tuning the $\text{PI}$ control parameters $K_{P}$ and $K_{I}$. The maximum ... as to keep the overall system stable or, in the worst case, marginally stable (rounded off to three decimal places) is ___________________
Arjun
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Others
Feb 20, 2021
by
Arjun
5.9k
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56
views
gateec-2021
numerical-answers
0
votes
0
answers
59
GATE ECE 2021 | Question: 49
A sinusoidal message signal having root mean square value of $4\:V$ and frequency of $\text{1 kHz}$ is fed to a phase modulator with phase deviation constant $2$ ... $\text{Hz}$.
Arjun
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Others
Feb 20, 2021
by
Arjun
5.9k
points
47
views
gateec-2021
numerical-answers
0
votes
0
answers
60
GATE ECE 2021 | Question: 50
Consider a superheterodyne receiver tuned to $600 \text{ kHz}$. If the local oscillator feeds a $1000 \text{ kHz}$ signal to the mixer, the image frequency (in integer) is ____________________ $\text{kHz}$.
Arjun
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Others
Feb 20, 2021
by
Arjun
5.9k
points
63
views
gateec-2021
numerical-answers
0
votes
0
answers
61
GATE ECE 2021 | Question: 51
In a high school having equal number of boy students and girl students, $75\%$ of the students study Science and the remaining $25\%$ students study Commerce. Commerce students are two times more likely to be a boy than are ... gained in knowing that a randomly selected girl student studies Commerce (rounded off to three decimal places) is _____________________ bits.
Arjun
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Others
Feb 20, 2021
by
Arjun
5.9k
points
52
views
gateec-2021
numerical-answers
0
votes
0
answers
62
GATE ECE 2021 | Question: 52
A message signal having peak-to-peak value of $2\:V$, root mean square value of $0.1\:V$ and bandwidth of $\text{5 kHz}$ is sampled and fed to a pulse code modulation ($\text{PCM}$) system that uses a uniform quantizer. ... signal to quantization noise ratio that can be obtained by the $\text{PCM}$ system (rounded off to two decimal places) is _________________________
Arjun
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Others
Feb 20, 2021
by
Arjun
5.9k
points
49
views
gateec-2021
numerical-answers
0
votes
0
answers
63
GATE ECE 2021 | Question: 53
Consider a polar non-return to zero ($\text{NRZ}$) waveform, using $+2\:V$ and $-2\:V$ for representing binary $1$' and $0$ ... the optimum threshold voltage for a maximum a posteriori ($\text{MAP}$) receiver (rounded off to two decimal places) is ______ $V$.
Arjun
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Others
Feb 20, 2021
by
Arjun
5.9k
points
50
views
gateec-2021
numerical-answers
0
votes
0
answers
64
GATE ECE 2021 | Question: 54
A standard air-filled rectangular waveguide with dimensions $\text{a=8 cm, b=4 cm}$, operates at $\text{3.4 GHz}$. For the dominant mode of wave propagation, the phase velocity of the signal in $v_{p}$. The value (rounded off to two decimal places) of $v_{p}/c$, where $c$ denotes the velocity of light, is ________________________
Arjun
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Others
Feb 20, 2021
by
Arjun
5.9k
points
59
views
gateec-2021
numerical-answers
0
votes
0
answers
65
GATE ECE 2021 | Question: 55
An antenna with a directive gain of $6\text{ dB}$ is radiating a total power of $\text{16 kW}$. The amplitude of the electric field in free space at a distance of $\text{8 km}$ from the antenna in the direction of $\text{6 dB}$ gain (rounded off to three decimal places) is ____________________ $\text{V/m}$.
Arjun
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Others
Feb 20, 2021
by
Arjun
5.9k
points
86
views
gateec-2021
numerical-answers
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