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
Filter
Recent
Hot!
Most votes
Most answers
Most views
Previous GATE
Featured
Recent questions
1
vote
0
answers
201
TIFR ECE 2017 | Question: 11
Consider a unit length interval $[0,1]$ and choose a point $X$ on it with uniform distribution. Let $L_{1}=X$ and $L_{2}=1-X$ be the length of the two sub-intervals created by this point on the unit interval. Let $L=\max \left\{L_{1}, L_{2}\right\}$. Consider ... $\text{(ii)}$ Only $\text{(i)}$ and $\text{(iii)}$ Only $\text{(ii)}$ and $\text{(iv)}$ None of the above
admin
asked
in
Probability and Statistics
Nov 29, 2022
by
admin
41.3k
points
12
views
tifrece2017
probability-and-statistics
probability
uniform-distribution
1
vote
0
answers
202
TIFR ECE 2017 | Question: 12
Consider a signal $X$ that can take two values, $-1$ with probability $p$ and $+1$ with probability $1-p$. Let $Y=X+N$, where $N$ is mean zero random noise that has probability density function symmetric about $0.$ Given $p$ and on observing $Y$, the detection problem is ... $\text{(iii)}$ Only $\text{(i)}$ and $\text{(ii)}$ Only $\text{(i)}$ and $\text{(iii)}$
admin
asked
in
Probability and Statistics
Nov 29, 2022
by
admin
41.3k
points
12
views
tifrece2017
probability-and-statistics
probability
probability-density-function
1
vote
0
answers
203
TIFR ECE 2017 | Question: 13
Let $A$ be an $n \times n$ matrix. Consider the following statements. $A$ can have full-rank even if there exists two vectors $v_{1} \neq v_{2}$ such that $A v_{1}=A v_{2}$. $A$ can be similar to the identity matrix, when $A$ is not the identity matrix. Recall that ... $\text{(ii)}$ Only $\text{(iii)}$ $\text{(i), (ii),}$ and $\text{(iii)}$ None of the above
admin
asked
in
Linear Algebra
Nov 29, 2022
by
admin
41.3k
points
11
views
tifrece2017
linear-algebra
matrices
1
vote
0
answers
204
TIFR ECE 2017 | Question: 14
Consider the positive integer sequence \[x_{n}=n^{50} e^{-(\log (n))^{3 / 2}}, \quad n=1,2,3, \ldots\] Which of the following statements is $\text{TRUE?}$ For every $M>0$, there exists an $n$ such that $x_{n}>M$ ... and then increases with $n \geq 1$ Sequence $\left\{x_{n}\right\}$ eventually converges to zero as $n \rightarrow \infty$ None of the above
admin
asked
in
Calculus
Nov 29, 2022
by
admin
41.3k
points
10
views
tifrece2017
calculus
maxima-minima
1
vote
0
answers
205
TIFR ECE 2017 | Question: 15
Suppose that $f(x)$ is a real valued continuous function such that $f(x) \rightarrow \infty$ as $x \rightarrow \infty$. Further, let \[a_{n}=\sum_{j=1}^{n} 1 / j\] and \[b_{n}=\sum_{j=1}^{n} 1 / j^{2} .\] Which of the following statements is true ... any number $M$ so that $f\left(b_{n}\right)$ and $f\left(a_{n}\right)$ are greater than $M$ for all $n$ None of the above
admin
asked
in
Others
Nov 29, 2022
by
admin
41.3k
points
11
views
tifrece2017
1
vote
0
answers
206
TIFR ECE 2016 | Question: 1
Suppose $f(x)=c x^{-\alpha}$ for some $c>0$ and $\alpha>0$ such that $\int_{1}^{\infty} f(x) \mathrm{d} x=1$. Then, which of the following is possible? $\int_{1}^{\infty} x f(x) \mathrm{d} x=\infty$ ... $\int_{1}^{\infty} \frac{f(x)}{1+\ln x} \mathrm{~d} x=\infty$ None of the above
admin
asked
in
Calculus
Nov 29, 2022
by
admin
41.3k
points
12
views
tifrece2016
calculus
definite-integrals
1
vote
0
answers
207
TIFR ECE 2016 | Question: 2
Let $X_{1}$ and $X_{2}$ be two independent continuous real-valued random variables taking values in the unit interval $[0,1]$. Let $Y=\max \left\{X_{1}, X_{2}\right\}$ ... $\operatorname{Pr}[Z=1]>\operatorname{Pr}[Z=2]=\frac{1}{2}$ $\operatorname{Pr}[Z=1]<\operatorname{Pr}[Z=2]$
admin
asked
in
Probability and Statistics
Nov 29, 2022
by
admin
41.3k
points
11
views
tifrece2016
probability-and-statistics
probability
random-variable
1
vote
0
answers
208
TIFR ECE 2016 | Question: 3
Let $(X, Y)$ be a pair of independent random variables. Suppose $X$ takes values in $\{1, \ldots, 6\}$ with equal probability, and $Y$ takes values in $\{2,3\}$ with $\operatorname{Pr}[Y=2]=p$. Let $Z=(X \bmod Y)+1$ ... $\operatorname{Pr}[Z=1]=\frac{1}{2}$ for $p=\frac{1}{2}$ $\operatorname{Pr}[Z=1]=p(1-p)$ None of the above
admin
asked
in
Probability and Statistics
Nov 29, 2022
by
admin
41.3k
points
7
views
tifrece2016
probability-and-statistics
probability
random-variable
1
vote
0
answers
209
TIFR ECE 2016 | Question: 4
Consider a system which in response to input $x(t)$ outputs \[y(t)=x\left(t^{2}\right) .\] Which of the following describes the system? linear, time-invariant, causal linear, time-invariant, non-causal linear, time-variant non-linear, time-invariant non-linear, time-variant
admin
asked
in
Others
Nov 29, 2022
by
admin
41.3k
points
10
views
tifrece2016
1
vote
0
answers
210
TIFR ECE 2016 | Question: 5
Consider the opamp circuit in the figure. Approximately what is $V_{0}$? $-\left(\frac{V_{1}}{2}+V_{2}\right)$ $-\left(\frac{V_{1}}{4}+\frac{V_{2}}{2}\right)$ $-\left(V_{1}+2 V_{2}\right)$ $-\left(4 V_{1}+2 V_{2}\right)$ None of the above
admin
asked
in
Others
Nov 29, 2022
by
admin
41.3k
points
8
views
tifrece2016
1
vote
0
answers
211
TIFR ECE 2016 | Question: 6
What is the Laplace transform $F(s)$ of the signal $f(t), t \geq 0$ defined below? In $t \in[0,1),$ ... $\frac{1}{s\left(1-e^{-s / 2}\right)}$ $\frac{1}{s\left(1+e^{-s / 2}\right)}$
admin
asked
in
Others
Nov 29, 2022
by
admin
41.3k
points
8
views
tifrece2016
1
vote
0
answers
212
TIFR ECE 2016 | Question: 7
Suppose $X$ and $Y$ are independent Gaussian random variables, whose pdfs are represented below. Which of the following describes the pdf of the $X+Y?$
admin
asked
in
Probability and Statistics
Nov 29, 2022
by
admin
41.3k
points
9
views
tifrece2016
1
vote
0
answers
213
TIFR ECE 2016 | Question: 8
In terms of their frequency responses, which of the following is the odd one out? All four circuits are equivalent
admin
asked
in
Others
Nov 29, 2022
by
admin
41.3k
points
12
views
tifrece2016
1
vote
0
answers
214
TIFR ECE 2016 | Question: 9
Suppose $Y=X+Z$, where $X$ and $Z$ are independent zero-mean random variables each with variance $1.$ Let $\hat{X}(Y)=a Y$ be the optimal linear least-squares estimate of $X$ from $Y$, i.e., $a$ is chosen such that $E\left[(X-a Y)^{2}\right]$ is minimized. What is the resulting ... $1$ $\frac{2}{3}$ $\frac{1}{2}$ $\frac{1}{3}$ $\frac{1}{4}$
admin
asked
in
Probability and Statistics
Nov 29, 2022
by
admin
41.3k
points
12
views
tifrece2016
probability-and-statistics
probability
random-variable
1
vote
0
answers
215
TIFR ECE 2016 | Question: 10
Let $U_{1}, U_{2}, U_{3}$ be independent random variables that are each uniformly distributed between zero and one. What is the probability that the second highest value amongst the three lies between $1 / 3$ and $2 / 3?$ $\frac{2}{9}$ $\frac{1}{27}$ $\frac{13}{27}$ $\frac{1}{3}$ $\frac{7}{18}$
admin
asked
in
Probability and Statistics
Nov 29, 2022
by
admin
41.3k
points
10
views
tifrece2016
probability-and-statistics
probability
uniform-distribution
1
vote
0
answers
216
TIFR ECE 2016 | Question: 11
Suppose that a random variable $X$ has a probability density function (pdf) given by \[f(x)=c \exp (-2 x)\] for $x \geq 1$, and $f(x)=0$, for $x<1$, where $c$ is an appropriate constant so that $f(x)$ is a valid pdf. What is the expected value of $X$ given that $X \geq 5?$ $5 \frac{1}{2}$ $7$ $10$ $8 \frac{1}{2}$ $6$
admin
asked
in
Probability and Statistics
Nov 29, 2022
by
admin
41.3k
points
5
views
tifrece2016
probability-and-statistics
probability
expectation
1
vote
0
answers
217
TIFR ECE 2016 | Question: 12
Recall that the Shannon entropy of a random variables $X$ taking values in a finite set $S$ is given by \[H[X]=-\sum_{x \in S} \operatorname{Pr}[X=x] \log _{2} \operatorname{Pr}[X=x] .\] (We set $0 \log _{2} 0=0$.) For a pair of random variables $(X, Y)$ taking ... $H\left[R_{513}, C_{513} \mid R_{1}, R_{2}, \ldots, R_{512}\right]?$ $\log _{2} 513$ $9$ $10$ $19$ $81$
admin
asked
in
Probability and Statistics
Nov 29, 2022
by
admin
41.3k
points
6
views
tifrece2016
probability-and-statistics
probability
random-variable
1
vote
0
answers
218
TIFR ECE 2016 | Question: 13
Suppose $m$ and $n$ are positive integers, $m \neq n$, and $A$ is an $m \times n$ matrix with real entires. Consider the following statements. $\operatorname{rank}\left(A A^{T}\right)=\operatorname{rank}\left(A^{T} A\right)$ ... Which of the above statements is true for all such $A?$ Only (i) Only (ii) Only (iii) (i) and (iii) None of them
admin
asked
in
Linear Algebra
Nov 29, 2022
by
admin
41.3k
points
7
views
tifrece2016
linear-algebra
matrices
1
vote
0
answers
219
TIFR ECE 2016 | Question: 14
Consider matrices $A \in \mathbb{R}^{n \times m}, B \in \mathbb{R}^{m \times m}$, and $C \in \mathbb{R}^{m \times n}$. Let $r=\operatorname{rank}(A B C)$. Which of the following must be true? $\min (m, n) \leq r \leq \max (m, n)$ ... $\min (m, n) \leq r \leq \max (\operatorname{rank}(A), \operatorname{rank}(B), \operatorname{rank}(C))$ None of the above
admin
asked
in
Linear Algebra
Nov 29, 2022
by
admin
41.3k
points
5
views
tifrece2016
linear-algebra
rank-of-matrix
1
vote
0
answers
220
TIFR ECE 2016 | Question: 15
What is \[ \max _{x, y}\left[\begin{array}{ll} x & y \end{array}\right]\left[\begin{array}{cc} 3 & \sqrt{2} \\ \sqrt{2} & 2 \end{array}\right]\left[\begin{array}{l} x \\ y \end{array}\right] \] subject to \[ x^{2}+y^{2}=1 ? \] $1$ $\sqrt{2}$ $2$ $3$ $4$
admin
asked
in
Linear Algebra
Nov 29, 2022
by
admin
41.3k
points
10
views
tifrece2016
linear-algebra
system-of-equations
0
votes
0
answers
221
GATE ECE 2005 | Question: 81b
Statement for Linked Answer Questions $81 a$ and $81 b$: Consider an $8085$ microprocessor system If in addition following code exists from $019 \mathrm{H}$ onwards, $\text{ORI 40 H}$ $\text{ADD M}$ What will be the result in the accumulator after the last instruction is executed? $40 \; \mathrm{H}$ $20 \; \mathrm{H}$ $60 \; \mathrm{H}$ $42 \; \mathrm{H}$
admin
asked
in
Others
Oct 17, 2022
by
admin
41.3k
points
29
views
gate2005-ec
0
votes
0
answers
222
GATE ECE 2005 | Question: 82b
Statement for Linked Answer Questions $82a$ and $82b:$ The dopen loop transfer function of a unity feedback system is given by \[\mathrm{G}(s)=\frac{3 e^{-2}}{s(s+2)}\] Based on the above results, the gain and phase margins of the system will be $-7.09$ ... $87.5^{\circ}$ $7.09 \mathrm{~dB}$ and $-87.5^{\circ}$ $-7.09 \mathrm{~dB}$ and $-87.5^{\circ}$
admin
asked
in
Others
Oct 17, 2022
by
admin
41.3k
points
24
views
gate2005-ec
0
votes
0
answers
223
GATE ECE 2005 | Question: 83b
Statement for Linked Answer Questions 83a and 83b Asymmetric three-level midtread quantizer is to be designed assuming equiprobable occurence of all quantization levels. The quantization noise power for the quantization region between $-a$ and $+a$ in the figure is $\frac{4}{81}$ $\frac{1}{9}$ $\frac{5}{81}$ $\frac{2}{81}$
admin
asked
in
Others
Oct 17, 2022
by
admin
41.3k
points
25
views
gate2005-ec
0
votes
0
answers
224
GATE ECE 2005 | Question: 84b
Statement of Linked Answer Questions $84a$ and $84b$ Voltage standing wave pattern in a lossless transmission line with characteristic impedance $50 \mathrm{W}$ and a resistive load is shown in the figure. The reflection coefficient is given by $-0.6$ $-1$ $0.6$ $0$
admin
asked
in
Others
Oct 17, 2022
by
admin
41.3k
points
17
views
gate2005-ec
0
votes
0
answers
225
GATE ECE 2005 | Question: 85b
Statement of Linked Answer Questions $85 a$ and $85b$ A sequence $x(n)$ has non-zero values as shown in the figure The Fourier transform of $y(2 n)$ will be $e^{-j2w} [\cos 4 w+2 \cos 2 w+2]$ $[\cos 2 w+2 \cos w+2]$ $e^{-jw} [\cos 2 w+2 \cos w+2]$ $e^{-j2w} [\cos 2 w+2 \cos w+2]$
admin
asked
in
Others
Oct 17, 2022
by
admin
41.3k
points
18
views
gate2005-ec
0
votes
0
answers
226
GATE ECE 1997 | Question 1.1
The current $i_4$ in the circuit of the figure is equal to $12 \mathrm{~A}$ $-12 \mathrm{~A}$ $4 \mathrm{~A}$ None of these
admin
asked
in
Others
Oct 2, 2022
by
admin
41.3k
points
39
views
gate1997-ec
0
votes
0
answers
227
GATE ECE 1997 | Question: 1.2
The voltage $\mathrm{V}$ in the figure is equal to $3 \mathrm{~V}$ $-3 \mathrm{~V}$ $5 \mathrm{~V}$ None of these
admin
asked
in
Others
Oct 2, 2022
by
admin
41.3k
points
30
views
gate1997-ec
0
votes
0
answers
228
GATE ECE 1997 | Question 1.3
The voltage $\mathrm{V}$ in the figure is always equal to $9 \mathrm{~V}$ $5 \mathrm{~V}$ $1 \mathrm{~V}$ None of the above
admin
asked
in
Others
Oct 2, 2022
by
admin
41.3k
points
27
views
gate1997-ec
0
votes
0
answers
229
GATE ECE 1997 | Question 1.4
The function $f(t)$ has the Fourier Transform $g(\omega)$. The Fourier Transform $f f(t) g(t)\left(=\int_{-\infty}^{\infty} g(t) e^{-j \omega t} d t\right)$ is $\frac{1}{2 \pi} f(\omega)$ $\frac{1}{2 \pi} f(-\omega)$ $2 \pi f(-\omega)$ None of the above
admin
asked
in
Others
Oct 2, 2022
by
admin
41.3k
points
26
views
gate1997-ec
0
votes
0
answers
230
GATE ECE 1997 | Question 1.5
The Laplace Transform of $e \alpha t \cos (\alpha \; t)$ is equal to $\frac{(s-\alpha)}{(s-\alpha)^2+\alpha^2}$ $\frac{(s+\alpha)}{(s-\alpha)^2+\alpha^2}$ $\frac{1}{(s-\alpha)^2}$ None of the above
admin
asked
in
Others
Oct 2, 2022
by
admin
41.3k
points
37
views
gate1997-ec
0
votes
0
answers
231
GATE ECE 1997 | Question 1.6
A transmission line of $50 \; \Omega$ characteristic impedance is terminated with a $100 \; \Omega$ resistance. The minimum impedance measured on the line is equal to $0 \; \Omega$ $25 \; \Omega$ $50 \; \Omega$ $100 \; \Omega$
admin
asked
in
Others
Oct 2, 2022
by
admin
41.3k
points
31
views
gate1997-ec
0
votes
0
answers
232
GATE ECE 1997 | Question 1.7
A rectangular air-filled waveguide has cross section of $4 \mathrm{~cm} \times 10 \mathrm{~cm}$. The minimum frequency which can propagate in the waveguide is $1.5\; \mathrm{GHz}$ $2.0\; \mathrm{GHz}$ $2.5\; \mathrm{GHz}$ $3.0\; \mathrm{GHz}$
admin
asked
in
Others
Oct 2, 2022
by
admin
41.3k
points
34
views
gate1997-ec
0
votes
0
answers
233
GATE ECE 1997 | Question 1.8
The line code that has zero $\text{dc}$ component for pulse transmission of random binary data is Non-return to zero $\text{(NRZ)}$ Retrun to zero $\text{(RZ)}$ Alternate Mark Inversion $\text{(AM)}$ None of the above
admin
asked
in
Others
Oct 2, 2022
by
admin
41.3k
points
28
views
gate1997-ec
0
votes
0
answers
234
GATE ECE 1997 | Question 1.9
A probability density fucntion is given by $p(x)=\mathrm{K} e^{-x^2 / 2}-\infty<x<\infty$. The value of $K$ should be $\frac{1}{\sqrt{2 \pi}}$ $\sqrt{\frac{2}{\pi}}$ $\frac{1}{2 \sqrt{\pi}}$ $\frac{1}{\pi \sqrt{2}}$
admin
asked
in
Others
Oct 2, 2022
by
admin
41.3k
points
31
views
gate1997-ec
0
votes
0
answers
235
GATE ECE 1997 | Question 1.10
A deterministic signal has the power spectrum given in the figure is, The minimum sampling rate needed to completely represent this signal is $1 \; \mathrm{kHz}$ $2 \; \mathrm{kHz}$ $3 \; \mathrm{kHz}$ None of the above
admin
asked
in
Others
Oct 2, 2022
by
admin
41.3k
points
31
views
gate1997-ec
0
votes
0
answers
236
GATE ECE 1997 | Question 1.11
The voltage $V$ in the figure is $10 \mathrm{~V}$ $15 \mathrm{~V}$ $5 \mathrm{~V}$ None of the above
admin
asked
in
Others
Oct 2, 2022
by
admin
41.3k
points
27
views
gate1997-ec
0
votes
0
answers
237
GATE ECE 1997 | Question 2.1
In the $\text{BJT}$ amplifier shown in the figure is the transistor is based in the forward active region. Putting a capacitor across $R_E$ will decrease the voltage gain and decrease the input impedance increase the voltage gain ... the input impedance decrease the voltage gain and increase the input impedance increase the voltage gain and increase the input impedance
admin
asked
in
Others
Oct 2, 2022
by
admin
41.3k
points
30
views
gate1997-ec
0
votes
0
answers
238
GATE ECE 1997 | Question 2.2
A cascade amplifier stage is equivalent to a common emitter stage followed by a common base stage a common base stage followed by an emitter follower an emitter follower stage followed by a common base stage a common base stage followed by a common emitter stage
admin
asked
in
Others
Oct 2, 2022
by
admin
41.3k
points
27
views
gate1997-ec
0
votes
0
answers
239
GATE ECE 1997 | Question 2.3
For a $\text{MOS}$ capacitor fabricated on a $p$-type semiconductor, strong inversion occurs when surface potential is equal to Fermi potential surface potential is zero surface potential is negative and equal to Fermi potential in magnitude surface potential is positive and equal to twice the Fermi potential
admin
asked
in
Others
Oct 2, 2022
by
admin
41.3k
points
27
views
gate1997-ec
0
votes
0
answers
240
GATE ECE 1997 | Question 2.4
In a common emitter $\text{BJT}$ amplifier, the maximum usable supply voltage is limited by Avalanche breakdown of Base-Emitter junction Collector-Base breakdown voltage with emitter open $\left(\mathrm{BV}_{\mathrm{CBO}}\right)$ Collector-Emitter breakdown ... with base open $\left(\mathrm{BV}_{\mathrm{CBO}}\right)$ Zener breakdown voltage of the Emitter-Base junction
admin
asked
in
Others
Oct 2, 2022
by
admin
41.3k
points
41
views
gate1997-ec
Page:
« prev
1
...
3
4
5
6
7
8
9
...
75
next »
Top Users
Jan 2023
Lakshman Patel RJIT
3020 Points
Welcome to GO Electronics, where you can ask questions and receive answers from other members of the community.
Recent questions