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Recent questions tagged gateec2021
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41
GATE EC 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
(
4.4k
points)

20
views
gateec2021
probabilityandstatistics
probability
conditionalprobability
0
votes
0
answers
42
GATE EC 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
(
4.4k
points)

12
views
gateec2021
0
votes
0
answers
43
GATE EC 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
(
4.4k
points)

11
views
gateec2021
0
votes
0
answers
44
GATE EC 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
(
4.4k
points)

17
views
gateec2021
0
votes
0
answers
45
GATE EC 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
(
4.4k
points)

13
views
gateec2021
0
votes
0
answers
46
GATE EC 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
(
4.4k
points)

12
views
gateec2021
numericalanswers
linearalgebra
eigenvalues
0
votes
0
answers
47
GATE EC 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
(
4.4k
points)

14
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gateec2021
numericalanswers
vectoranalysis
0
votes
0
answers
48
GATE EC 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
(
4.4k
points)

12
views
gateec2021
numericalanswers
0
votes
0
answers
49
GATE EC 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 $\omega _0$ is the fundamental angular frequency of $x(t)$ ... $x(t)$ (rounded off to one decimal place) is ______________
asked
Feb 20
in
Others
by
Arjun
(
4.4k
points)

12
views
gateec2021
numericalanswers
0
votes
0
answers
50
GATE EC 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
(
4.4k
points)

13
views
gateec2021
numericalanswers
0
votes
0
answers
51
GATE EC 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
(
4.4k
points)

13
views
gateec2021
numericalanswers
0
votes
0
answers
52
GATE EC 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 $10\times10^{16}\:cm^{3}$ ... would 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
(
4.4k
points)

12
views
gateec2021
numericalanswers
0
votes
0
answers
53
GATE EC 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
(
4.4k
points)

12
views
gateec2021
numericalanswers
0
votes
0
answers
54
GATE EC 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
(
4.4k
points)

13
views
gateec2021
numericalanswers
0
votes
0
answers
55
GATE EC 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
(
4.4k
points)

11
views
gateec2021
numericalanswers
0
votes
0
answers
56
GATE EC 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
(
4.4k
points)

15
views
gateec2021
numericalanswers
digitalcircuits
sequentialcircuit
counters
0
votes
0
answers
57
GATE EC 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 $t = 0$ ... 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
(
4.4k
points)

18
views
gateec2021
numericalanswers
0
votes
0
answers
58
GATE EC 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
(
4.4k
points)

13
views
gateec2021
numericalanswers
0
votes
0
answers
59
GATE EC 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
(
4.4k
points)

12
views
gateec2021
numericalanswers
0
votes
0
answers
60
GATE EC 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
(
4.4k
points)

14
views
gateec2021
numericalanswers
0
votes
0
answers
61
GATE EC 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
(
4.4k
points)

13
views
gateec2021
numericalanswers
0
votes
0
answers
62
GATE EC 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
(
4.4k
points)

13
views
gateec2021
numericalanswers
0
votes
0
answers
63
GATE EC 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
(
4.4k
points)

12
views
gateec2021
numericalanswers
0
votes
0
answers
64
GATE EC 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
(
4.4k
points)

12
views
gateec2021
numericalanswers
0
votes
0
answers
65
GATE EC 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
(
4.4k
points)

16
views
gateec2021
numericalanswers
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