GO Electronics
Login
Register
@
Dark Mode
Profile
Edit my Profile
Messages
My favorites
Register
Activity
Questions
Unanswered
Tags
Subjects
Users
Ask
New Blog
Blogs
Exams
Dark Mode
Recent questions tagged gate2007-ec
0
votes
0
answers
1
GATE ECE 2007 | Question: 1
If $E$ denotes expectation, the variance of a random variable $X$ is given by $E\left[X^2\right]-E^2[X]$ $E\left[X^2\right]+E^2[X]$ $E\left[X^2\right]$ $E^2[X]$
admin
asked
in
Others
Sep 19
by
admin
32.7k
points
6
views
gate2007-ec
0
votes
0
answers
2
GATE ECE 2007 | Question: 2
The following plot shows a function $y$ which varies linearly with $x$. The value of the integral $I=\int_1^2 y d x$ is $1.0$ $2.5$ $4.0$ $5.0$
admin
asked
in
Others
Sep 19
by
admin
32.7k
points
3
views
gate2007-ec
0
votes
0
answers
3
GATE ECE 2007 | Question: 3
For $|x| \ll 1$, $\operatorname{coth}(x)$ can be approximated as $x$ $x^2$ $\frac{1}{x}$ $\frac{1}{x^2}$
admin
asked
in
Others
Sep 19
by
admin
32.7k
points
6
views
gate2007-ec
0
votes
0
answers
4
GATE ECE 2007 | Question: 4
$\lim _{\theta \rightarrow 0} \frac{\sin (\theta / 2)}{\theta}$ is $0.5$ $1$ $2$ not defined
admin
asked
in
Others
Sep 19
by
admin
32.7k
points
4
views
gate2007-ec
0
votes
0
answers
5
GATE ECE 2007 | Question: 5
Which one of the following functions is strictly bounded? $\frac{1}{x^2}$ $e^x$ $x^2$ $e^{-x^2}$
admin
asked
in
Others
Sep 19
by
admin
32.7k
points
4
views
gate2007-ec
0
votes
0
answers
6
GATE ECE 2007 | Question: 6
For the function $e^{-x}$, the linear approximation around $x=2$ is $(3-x) e^{-2}$ $1-x$ $[3+2 \sqrt{2}-(1+\sqrt{2}) x] e^{-2}$ $e^{-2}$
admin
asked
in
Others
Sep 19
by
admin
32.7k
points
5
views
gate2007-ec
0
votes
0
answers
7
GATE ECE 2007 | Question: 7
An independent voltage source in series with an impedance $\mathbf{Z}_{\mathrm{s}}=R_{\mathrm{s}}+j X_{\mathrm{s}}$ delivers a maximum average power to a load impedance $\mathbf{Z}_{\mathrm{L}}$ when $\mathbf{Z}_{\mathrm{L}}=R_{\mathrm{S}}+j X_s$ $\mathbf{Z}_{\mathrm{L}}=R_{\mathrm{S}}$ $\mathbf{Z}_{\mathrm{L}}=j X_s$ $\mathbf{Z}_{\mathrm{L}}=R_{\mathrm{S}}-j X_s$
admin
asked
in
Others
Sep 19
by
admin
32.7k
points
3
views
gate2007-ec
0
votes
0
answers
8
GATE ECE 2007 | Question: 8
The $R C$ circuit shown in the figure is a low-pass filter a high-pass filter a band-pass filter a band-reject filter
admin
asked
in
Others
Sep 19
by
admin
32.7k
points
6
views
gate2007-ec
0
votes
0
answers
9
GATE ECE 2007 | Question: 9
The electron and hole concentrations in an intrinsic semiconductor are $n_i$ per $\mathrm{cm}^3$ at $300 \mathrm{~K}$. Now, if acceptor impurities are introduced with a concentration of $N_A$ per $\mathrm{cm}^3$ (where $N_A \gg n_i$ ), the electron concentration per $\mathrm{cm}^3$ at $300 \mathrm{~K}$ will be $n_{i}$ $n_i+N_A$ $N_A-n_{i}$ $\frac{n_i^2}{N_A}$
admin
asked
in
Others
Sep 19
by
admin
32.7k
points
3
views
gate2007-ec
0
votes
0
answers
10
GATE ECE 2007 | Question: 10
In a $p^{+} n$ junction diode under reverse bias, the magnitude of electric field is maximum at the edge of the depletion region on the $p$-side the edge of the depletion region on the $n$-side the $p^{+} n$ junction the centre of the depletion region on the $n$-side
admin
asked
in
Others
Sep 19
by
admin
32.7k
points
5
views
gate2007-ec
0
votes
0
answers
11
GATE ECE 2007 | Question: 11
The correct full wave rectifier circuit is
admin
asked
in
Others
Sep 19
by
admin
32.7k
points
6
views
gate2007-ec
0
votes
0
answers
12
GATE ECE 2007 | Question: 12
In a transconductance amplifier, it is desirable to have a large input resistance and a large output resistance a large input resistance and a small output resistance a small input resistance and a large output resistance a small input resistance and a small output resistance
admin
asked
in
Others
Sep 19
by
admin
32.7k
points
3
views
gate2007-ec
0
votes
0
answers
13
GATE ECE 2007 | Question: 13
$\mathrm{X}=01110$ and $\mathrm{Y}=11001$ are two $5$-bit binary numbers represented in two's complement format. The sum of $\mathrm{X}$ and $\mathrm{Y}$ represented in two's complement format using $6$ bits is $100111$ $001000$ $000111$ $101001$
admin
asked
in
Others
Sep 19
by
admin
32.7k
points
2
views
gate2007-ec
0
votes
0
answers
14
GATE ECE 2007 | Question: 14
The Boolean function $Y=A B+C D$ is to be realized using only $2$ -input NAND gates. The minimum number of gates required is $2$ $3$ $4$ $5$
admin
asked
in
Others
Sep 19
by
admin
32.7k
points
3
views
gate2007-ec
0
votes
0
answers
15
GATE ECE 2007 | Question: 15
If the closed-loop transfer function of a control system is given as $T(s)=\frac{s-5}{(s+2)(s+3)}$, then it is an unstable system an uncontrollable system a minimum phase system a non-minimum phase system
admin
asked
in
Others
Sep 19
by
admin
32.7k
points
2
views
gate2007-ec
0
votes
0
answers
16
GATE ECE 2007 | Question: 16
If the Laplace transform of a signal $y(t)$ is $Y(s)=\frac{1}{s(s-1)}$, then its final value is $-1$ $0$ $1$ Unbounded
admin
asked
in
Others
Sep 19
by
admin
32.7k
points
2
views
gate2007-ec
0
votes
0
answers
17
GATE ECE 2007 | Question: 17
If $R(\tau)$ is the autocorrelation function of a real, wide-sense stationary random process, then which of the following is $\text{NOT}$ true? $R(\tau)=R(-\tau)$ $|R(\tau)| \leq R(0)$ $R(\tau)=-R(-\tau)$ The mean square value of the process is $R(0)$
admin
asked
in
Others
Sep 19
by
admin
32.7k
points
2
views
gate2007-ec
0
votes
0
answers
18
GATE ECE 2007 | Question: 18
If $S(f)$ is the power spectral density of a real, wide-sense stationary random process, then which of the following is $\text{ALWAYS}$ true? $S(0) \geq S(f)$ $S(f) \geq 0$ $S(-f)=-S(f)$ $\int_{-\infty}^{\infty} S(f) d f=0$
admin
asked
in
Others
Sep 19
by
admin
32.7k
points
2
views
gate2007-ec
0
votes
0
answers
19
GATE ECE 2007 | Question: 19
A plane wave of wavelength $\lambda$ is travelling in a direction making an angle $30^{\circ}$ with positive $x$-axis and $90^{\circ}$ with positive $y$-axis. The $\vec{E}$ field of the plane wave can be represented as ( $E_{0}$ ... $\vec{E}=\hat{y} E_{0} e^{j\left(\omega t-\frac{\pi}{\lambda} x+\frac{\sqrt{3} \pi}{\lambda} z\right)}$
admin
asked
in
Others
Sep 19
by
admin
32.7k
points
4
views
gate2007-ec
0
votes
0
answers
20
GATE ECE 2007 | Question: 20
If $\mathrm{C}$ is a closed curve enclosing a surface $S$, then the magnetic field intensity $\vec{H}$, the current density $\vec{J}$ and the electric flux density $\vec{D}$ ...
admin
asked
in
Others
Sep 19
by
admin
32.7k
points
2
views
gate2007-ec
0
votes
0
answers
21
GATE ECE 2007 | Question: 21
It is given that $X_{1}, X_{2}, \cdots X_{M}$ are $M$ non-zero, orthogonal vectors. The dimension of the vector space spanned by the $2 M$ vectors $X_{1}, X_{2}, \cdots X_{M},-X_{1},-X_{2}, \cdots-X_{M}$ is $2 M$ $M+1$ $M$ dependent on the choice of $X_{1}, X_{2}, \cdots X_{M}$
admin
asked
in
Others
Sep 19
by
admin
32.7k
points
3
views
gate2007-ec
0
votes
0
answers
22
GATE ECE 2007 | Question: 22
Consider the function $f(x)=x^{2}-x-2$. The maximum value of $f(x)$ in the closed interval $[-4,4]$ is $18$ $10$ $-2.25$ indeterminate
admin
asked
in
Others
Sep 19
by
admin
32.7k
points
1
view
gate2007-ec
0
votes
0
answers
23
GATE ECE 2007 | Question: 23
An examination consists of two papers, Paper $1$ and Paper $2.$ The probability of failing in Paper $1$ is $0.3$ and that in Paper $2$ is $0.2$. Given that a student has failed in Paper $2,$ the probability of failing in Paper $1$ is $0.6$. The probability of a student failing in both the papers is $0.5$ $0.18$ $0.12$ $0.06$
admin
asked
in
Others
Sep 19
by
admin
32.7k
points
3
views
gate2007-ec
0
votes
0
answers
24
GATE ECE 2007 | Question: 24
The solution of the differential equation $k^{2} \frac{d^{2} y}{d x^{2}}=y-y_{2}$ under the boundary conditions (i) $y=y_{1}$ at $x=0$ and (ii) $y=y_{2}$ at $x=\infty$, where $k, y_{1}$ and $y_{2}$ ... $y=\left(y_{1}-y_{2}\right) \sinh (x / k)+y_{1}$ $y=\left(y_{1}-y_{2}\right) \exp (-x / k)+y_{2}$
admin
asked
in
Others
Sep 19
by
admin
32.7k
points
3
views
gate2007-ec
0
votes
0
answers
25
GATE ECE 2007 | Question: 25
The equation $x^{3}-x^{2}+4 x-4=0$ is to be solved using the Newton-Raphson method. If $x=2$ is taken as the initial approximation of the solution, then the next approximation using this method will be $\frac{2}{3}$ $\frac{4}{3}$ $1$ $\frac{3}{2}$
admin
asked
in
Others
Sep 19
by
admin
32.7k
points
2
views
gate2007-ec
0
votes
0
answers
26
GATE ECE 2007 | Question: 26
Three functions $f_{1}(t), f_{2}(t)$ and $f_{3}(t)$, which are zero outside the interval $[0, T]$, are shown in the figure. Which of the following statements is correct? $f_{1}(t)$ and $f_{2}(t)$ are orthogonal $f_{1}(t)$ and $f_{3}(t)$ are orthogonal $f_{2}(t)$ and $f_{3}(t)$ are orthogonal $f_{1}(t)$ and $f_{2}(t)$ are orthonormal
admin
asked
in
Others
Sep 19
by
admin
32.7k
points
3
views
gate2007-ec
0
votes
0
answers
27
GATE ECE 2007 | Question: 27
If the semi-circular contour $D$ of radius $2$ is as shown in the figure, then the value of the integral $\oint_{D} \frac{1}{\left(s^{2}-1\right)} d s$ is $j \pi$ $-j \pi$ $-\pi$ $\pi$
admin
asked
in
Others
Sep 19
by
admin
32.7k
points
3
views
gate2007-ec
0
votes
0
answers
28
GATE ECE 2007 | Question: 28
Two series resonant filters are as shown in the figure. Let the $\text{3-dB}$ bandwidth of Filter $1$ be $B_{1}$ and that of Filter $2$ be $B_{2}$. The value of $\frac{B_{1}}{B_{2}}$ is $4$ $1$ $\frac{1}{2}$ $\frac{1}{4}$
admin
asked
in
Others
Sep 19
by
admin
32.7k
points
4
views
gate2007-ec
0
votes
0
answers
29
GATE ECE 2007 | Question: 29
For the circuit shown in the figure, the Thevenin voltage and resistance looking into $\mathrm{X}-\mathrm{Y}$ are $4 / 3 \mathrm{~V}, 2 \; \Omega$ $4 \mathrm{~V}, 2 / 3 \; \Omega$ $4 / 3 \mathrm{~V}, 2 / 3 \; \Omega$ $4 \mathrm{~V}, 2 \; \Omega$
admin
asked
in
Others
Sep 19
by
admin
32.7k
points
2
views
gate2007-ec
0
votes
0
answers
30
GATE ECE 2007 | Question: 30
In the circuit shown, $V_{C}$ is $0$ volts at $t=0 \; \mathrm{sec}$. For $t>0$, the capacitor current $i_{c}(t)$, where $t$ is in seconds, is given by $0.50 \exp (-25 t) \; \mathrm{mA}$ $0.25 \exp (-25 t) \; \mathrm{mA}$ $0.50 \exp (-12.5 t) \; \mathrm{mA}$ $0.25 \exp (-6.25 t) \; \mathrm{mA}$
admin
asked
in
Others
Sep 19
by
admin
32.7k
points
3
views
gate2007-ec
0
votes
0
answers
31
GATE ECE 2007 | Question: 31
In the $A C$ network shown in the figure, the phasor voltage $V_{A B}$ (in Volts) is $0$ $5 \angle 30^{\circ}$ $12.5 \angle 30^{\circ}$ $17 \angle 30^{\circ}$
admin
asked
in
Others
Sep 19
by
admin
32.7k
points
6
views
gate2007-ec
0
votes
0
answers
32
GATE ECE 2007 | Question: 32
A $p^{+} n$ junction has a built-in potential of $0.8 \mathrm{~V}$. The depletion layer width at a reverse bias of $1.2 \mathrm{~V}$ is $2 \; \mu \mathrm{m}$. For a reverse bias of $7.2 \mathrm{~V}$, the depletion layer width will be $4 \; \mu \mathrm{m}$ $4.9 \; \mu \mathrm{m}$ $8 \; \mu \mathrm{m}$ $12 \; \mu \mathrm{m}$
admin
asked
in
Others
Sep 19
by
admin
32.7k
points
1
view
gate2007-ec
0
votes
0
answers
33
GATE ECE 2007 | Question: 33
Group I lists four types of $p-n$ ... $\mathrm{P}-2, \mathrm{Q}-1, \mathrm{R}-2, \mathrm{S}-2$
admin
asked
in
Others
Sep 19
by
admin
32.7k
points
4
views
gate2007-ec
0
votes
0
answers
34
GATE ECE 2007 | Question: 34
The DC current gain ($\beta$ ) of a BJT is $50.$ Assuming that the emitter injection efficiency is $0.995$, the base transport factor is $0.980$ $0.985$ $0.990$ $0.995$
admin
asked
in
Others
Sep 19
by
admin
32.7k
points
2
views
gate2007-ec
0
votes
0
answers
35
GATE ECE 2007 | Question: 35
Group I lists four different semiconductor devices. Match each device in Group I with its characteristic property in Group II. ... $\text{P-3, Q-4, R-1, S-2}$ $\text{P-3, Q-2, R-1, S-4}$
admin
asked
in
Others
Sep 19
by
admin
32.7k
points
2
views
gate2007-ec
0
votes
0
answers
36
GATE ECE 2007 | Question: 36
For the $\text{Op-Amp}$ circuit shown in the figure, $V_{o}$ is $-2 \mathrm{~V}$ $-1 \mathrm{~V}$ $-0.5 \mathrm{~V}$ $0.5 \mathrm{~V}$
admin
asked
in
Others
Sep 19
by
admin
32.7k
points
3
views
gate2007-ec
0
votes
0
answers
37
GATE ECE 2007 | Question: 37
For the BJT circuit shown, assume that the $\beta$ of the transistor is very large and $V_{B E}=0.7 \mathrm{~V}$. The mode of operation of the BJT is cut-off saturation normal active reverse active
admin
asked
in
Others
Sep 19
by
admin
32.7k
points
4
views
gate2007-ec
0
votes
0
answers
38
GATE ECE 2007 | Question: 38
In the $\text{Op-Amp}$ circuit shown, assume that the diode current follows the equation $I=I_{S} \exp \left(V / V_{T}\right)$. For $V_{i}=2 \mathrm{~V}, V_{a}=V_{a 1}$, and for $V_{i}=4 \mathrm{~V}, V_{a}=V_{a 2}$. The relationship between $V_{o 1}$ and $V_{o 2}$ is $V_{o 2}=\sqrt{2} V_{o 1}$ $V_{o 2}=e^{2} V_{o 1}$ $V_{o 2}=V_{o 1} \ln 2$ $V_{o 1}-V_{o 2}=V_{T} \ln 2$
admin
asked
in
Others
Sep 19
by
admin
32.7k
points
3
views
gate2007-ec
0
votes
0
answers
39
GATE ECE 2007 | Question: 39
In the CMOS inverter circuit shown, if the transconductance parameters of the NMOS and PMOS transistors are $k_{n}=k_{p}=\mu_{n} C_{o x} \frac{W_{n}}{L_{n}}=\mu_{p} C_{o x} \frac{W_{p}}{L_{p}}=40 \; \mu \mathrm{A} / \mathrm{V}^{2}$ and their threshold voltages ... the current $I$ is $0 \mathrm{~A}$ $25 \; \mu \mathrm{A}$ $45 \; \mu \mathrm{A}$ $90 \; \mu \mathrm{A}$
admin
asked
in
Others
Sep 19
by
admin
32.7k
points
3
views
gate2007-ec
0
votes
0
answers
40
GATE ECE 2007 | Question: 40
For the Zener diode shown in the figure, the Zener voltage at knee is $7 \mathrm{~V}$, the knee current is negligible and the Zener dynamic resistance is $10 \; \Omega$. If the input voltage $\left(V_{i}\right)$ range is from $10$ to $16 \; \mathrm{V}$ ... $7.14$ to $7.29 \mathrm{~V}$ $7.14$ to $7.43 \mathrm{~V}$ $7.29$ to $7.43 \mathrm{~V}$
admin
asked
in
Others
Sep 19
by
admin
32.7k
points
3
views
gate2007-ec
Page:
1
2
3
next »
Welcome to GO Electronics, where you can ask questions and receive answers from other members of the community.