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Recent questions tagged gateec2021
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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 $\frac{2}{5}$ $\frac{1}{3}$ $\frac{1}{2}$ $\frac{2}{3}$
asked
Feb 20
in
Probability and Statistics
by
Arjun
(
4.5k
points)

64
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gateec2021
probabilityandstatistics
probability
conditionalprobability
0
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0
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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 $0\:V/s$ $3\:V/s$ $3\:V/s$ $5\:V/s$
asked
Feb 20
in
Others
by
Arjun
(
4.5k
points)

33
views
gateec2021
0
votes
0
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43
GATE ECE 2021  Question: 29
Consider the twoport network shown in the figure. The admittance parameters, in siemens, are $y_{11}=2,\:y_{12}=4,\:y_{21}=4,\:y_{22}=2$ $y_{11}=1,\:y_{12}=2,\:y_{21}=1,\:y_{22}=3$ $y_{11}=2,\:y_{12}=4,\:y_{21}=1,\:y_{22}=2$ $y_{11}=2,\:y_{12}=4,\:y_{21}=4,\:y_{22}=3$
asked
Feb 20
in
Others
by
Arjun
(
4.5k
points)

36
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gateec2021
0
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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 messagecodeword pairs in this code ($\text{m}_{i}$ ; $\text{c}_{i}$), where $\text{c}_{i}$ is the ... $\text{valid codeword}$ in this code? $1101001$ $1011010$ $0001011$ $0110100$
asked
Feb 20
in
Others
by
Arjun
(
4.5k
points)

29
views
gateec2021
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 quarterwave line having a characteristic impedance $Z_1=75\:\Omega$ is connected to $Z_{L}$. Two stubs having ... the real part of $Z_{L}$ is $112.5\:\Omega$ $75.0\:\Omega$ $50.0\:\Omega$ $33.3\:\Omega$
asked
Feb 20
in
Others
by
Arjun
(
4.5k
points)

23
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gateec2021
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0
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46
GATE ECE 2021  Question: 36
A real $2\times2$ nonsingular 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 ________________
asked
Feb 20
in
Linear Algebra
by
Arjun
(
4.5k
points)

32
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gateec2021
numericalanswers
linearalgebra
eigenvalues
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 ________________
asked
Feb 20
in
Vector Analysis
by
Arjun
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4.5k
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25
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gateec2021
numericalanswers
vectoranalysis
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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 ________________ $\text{ms}$.
asked
Feb 20
in
Others
by
Arjun
(
4.5k
points)

28
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gateec2021
numericalanswers
0
votes
0
answers
49
GATE ECE 2021  Question: 39
The exponential Fourier series representation of a continuoustime 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 ______________
asked
Feb 20
in
Others
by
Arjun
(
4.5k
points)

25
views
gateec2021
numericalanswers
0
votes
0
answers
50
GATE ECE 2021  Question: 40
For a unit step input $u[n]$, a discretetime $\text{LTI}$ system produces an output signal $\left ( 2\delta \left [ n+1 \right ] +\delta \left [ n \right ]+\delta \left [ n1 \right ]\right )$. 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 _________________
asked
Feb 20
in
Others
by
Arjun
(
4.5k
points)

21
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gateec2021
numericalanswers
0
votes
0
answers
51
GATE ECE 2021  Question: 41
Consider the signals $x\left [ n \right ]=2^{n1}u\left [ n+2 \right ]$ 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 discretetime Fourier ... (rounded off to one decimal place) is ___________
asked
Feb 20
in
Others
by
Arjun
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4.5k
points)

19
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gateec2021
numericalanswers
0
votes
0
answers
52
GATE ECE 2021  Question: 42
A silicon $PN$ 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 ______________________ $V$.
asked
Feb 20
in
Others
by
Arjun
(
4.5k
points)

24
views
gateec2021
numericalanswers
0
votes
0
answers
53
GATE ECE 2021  Question: 43
An asymmetrical periodic pulse train $v_{in}$ of $10\:V$ amplitude with ontime $T_{\text{ON}}=1\:ms$ and offtime $T_{\text{OFF}}=1\:\mu s$ 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 ______________ $V$.
asked
Feb 20
in
Others
by
Arjun
(
4.5k
points)

22
views
gateec2021
numericalanswers
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 ... $V$.
asked
Feb 20
in
Others
by
Arjun
(
4.5k
points)

26
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gateec2021
numericalanswers
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 ____________________ $V$.
asked
Feb 20
in
Others
by
Arjun
(
4.5k
points)

18
views
gateec2021
numericalanswers
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 flipflops is assumed to be zero. The clock ($\text{Clk}$ ... of triggering clock edges after which the flipflop outputs $Q_{2}Q_{1}Q_{0}$ becomes $1\; 0\; 0$ (in integer) is
asked
Feb 20
in
Digital Circuits
by
Arjun
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4.5k
points)

36
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gateec2021
numericalanswers
digitalcircuits
sequentialcircuit
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 _______________ $A$.
asked
Feb 20
in
Others
by
Arjun
(
4.5k
points)

33
views
gateec2021
numericalanswers
0
votes
0
answers
58
GATE ECE 2021  Question: 48
A unity feedback system that uses proportionalintegral ($\text{PI}$) 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 ___________________
asked
Feb 20
in
Others
by
Arjun
(
4.5k
points)

34
views
gateec2021
numericalanswers
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 $2$ ... $\text{Hz}$.
asked
Feb 20
in
Others
by
Arjun
(
4.5k
points)

22
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gateec2021
numericalanswers
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 ____________________ $\text{kHz}$.
asked
Feb 20
in
Others
by
Arjun
(
4.5k
points)

26
views
gateec2021
numericalanswers
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.
asked
Feb 20
in
Others
by
Arjun
(
4.5k
points)

28
views
gateec2021
numericalanswers
0
votes
0
answers
62
GATE ECE 2021  Question: 52
A message signal having peaktopeak 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 _________________________
asked
Feb 20
in
Others
by
Arjun
(
4.5k
points)

20
views
gateec2021
numericalanswers
0
votes
0
answers
63
GATE ECE 2021  Question: 53
Consider a polar nonreturn 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 ______ $V$.
asked
Feb 20
in
Others
by
Arjun
(
4.5k
points)

20
views
gateec2021
numericalanswers
0
votes
0
answers
64
GATE ECE 2021  Question: 54
A standard airfilled 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 ________________________
asked
Feb 20
in
Others
by
Arjun
(
4.5k
points)

27
views
gateec2021
numericalanswers
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 ____________________ $\text{V/m}$.
asked
Feb 20
in
Others
by
Arjun
(
4.5k
points)

29
views
gateec2021
numericalanswers
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