Register
Filter

Recent questions

#261
0 0 votes
0 0 answers
399
399 views
GATE ECE 2023 | Question: 44
The following circuit(s) representing a lumped element equivalent of an infinitesimal section of a transmission line is/are
#262
0 0 votes
1 1 answer
1.0k
1.0k views
GATE ECE 2023 | Question: 45
The value of the integral $\iint_R \text{xy dx dy}$ over the region $R$, given in the figure, __________ is (rounded off to the nearest integer).
#263
0 0 votes
1 1 answer
670
670 views
GATE ECE 2023 | Question: 46
In an extrinsic semiconductor, the hole concentration is given to be $1.5 n_{i}$ where $n_{i}$ is the intrinsic carrier concentration of $1 \times 10^{10} \mathrm{~cm}^{-...
#264
1 1 vote
1 1 answer
668
668 views
GATE ECE 2023 | Question: 47
The asymptotic magnitude Bode plot of a minimum phase system is shown in thefigure. The transfer function of the system is $(s)=\frac{k(s+z)^{a}}{s^{b}(s+p)^{c}}$, where ...
#265
1 1 vote
0 0 answers
556
556 views
GATE ECE 2023 | Question: 48
Let $\mathrm{x}_1(\mathrm{t})=\mathrm{u}(\mathrm{t}+1.5)-\mathrm{u}(\mathrm{t}-1.5)$ and $\mathrm{x}_2(\mathrm{t})$ is shown in the figure below. For $\mathrm{y}(\mathrm{...
#266
0 0 votes
0 0 answers
521
521 views
GATE ECE 2023 | Question: 49
Let $X(t)$ be a white Gaussian noise with power spectral density $\frac{1}{2} \mathrm{~W} / \mathrm{Hz}$. If $X(t)$ is input to an LTI system with impulse response $e^{-t...
#267
0 0 votes
0 0 answers
1.1k
1.1k views
GATE ECE 2023 | Question: 50
A transparent dielectric coating is applied to glass $\left(\varepsilon_r=4, \mu_r=1\right)$ to eliminate the reflection of red light $\left(\lambda_0=0.75 \; \mu \mathrm...
#268
0 0 votes
0 0 answers
560
560 views
GATE ECE 2023 | Question: 51
In a semiconductor device, the Fermi-energy level is $0.35 \; \mathrm{eV}$ above the valence band energy. The effective density of states in the valence band at $T=300 \m...
#269
0 0 votes
0 0 answers
1.1k
1.1k views
GATE ECE 2023 | Question: 52
A sample and hold circuit is implemented using a resistive switch and a capacitor with a time constant of $1 \; \mu \mathrm{s}$. The time for the sampling switch to stay ...
#270
1 1 vote
1 1 answer
1.9k
1.9k views
GATE ECE 2023 | Question: 53
In a given sequential circuit, initial states are $Q_1=1$ and $Q_2=0$. For a clock frequency of $1 \; \mathrm{MHz}$, the frequency of signal $\mathrm{Q}_2$ in $\mathrm{kH...
#271
1 1 vote
0 0 answers
690
690 views
GATE ECE 2023 | Question: 54
In the circuit below, the voltage $V_L$ is _________ $\mathrm{V}$ (rounded off to two decimal places).
#272
0 0 votes
0 0 answers
807
807 views
GATE ECE 2023 | Question: 55
The frequency of occurrence of $8$ symbols $(a-h)$ is shown in the table below. A symbol is chosen and it is determined by asking a series of $\text{"yes/no"}$ questions ...
#273
0 0 votes
0 0 answers
794
794 views
TIFR ECE 2023 | Question: 1
Consider a fair coin with probability of heads and tails equal to $1 / 2$. Moreover consider two dice, first $\mathrm{D}_{1}$ that has three faces numbered $1,3,5$ and se...
#274
0 0 votes
1 1 answer
638
638 views
TIFR ECE 2023 | Question: 2
$\begin{array}{rlr}a^*=\max_{x, y} & x^2+y^2-8 x+7 \\ \text { s.t. } & \qquad x^2+y^2 \leq 1 \\ & \qquad \qquad y \geq 0\end{array}$Then $a^{\star}$ is$16$$14$$12$$10$Non...
#275
0 0 votes
0 0 answers
806
806 views
TIFR ECE 2023 | Question: 3
Let\[\mathcal{P}=\left\{(x, y): x+y \geq 1,2 x+y \geq 2, x+2 y \geq 2,(x-1)^{2}+(y-1)^{2} \leq 1\right\} .\]Compute\[\min _{(x, y) \in \mathcal{P}} 2 x+3 y\]$2$$3$$4$$6$N...
#276
0 0 votes
0 0 answers
545
545 views
TIFR ECE 2023 | Question: 4
Recall that the entropy (in bits) of a random variable $\mathrm{X}$ which takes values in $\mathbb{N}$, the set of natural numbers, is defined as$$H(X)=\sum_{n=1}^{\infty...
#277
0 0 votes
0 0 answers
426
426 views
TIFR ECE 2023 | Question: 5
Let $\mathrm{B}$ denote the unit ball in $\mathbb{R}^{2}$, and $\mathrm{Q}$ a square of side length $2$. Let $\mathrm{K}$ be the set of all vectors $z$ such that for some...
#278
0 0 votes
0 0 answers
418
418 views
TIFR ECE 2023 | Question: 6
An ant in the plane travels in a spiral such that its position $(x(t), y(t))$ at time $t \geq 0$ is $\left(e^{t} \cos t, e^{t} \sin t\right)$. At time $t=1$, find the rea...
#279
0 0 votes
0 0 answers
594
594 views
TIFR ECE 2023 | Question: 7
Let $f(x)$ be a positive continuous function on the real line that is the density of a random variable $X$. The differential entropy of $X$ is defined to be $-\int_{-\inf...
#280
0 0 votes
0 0 answers
620
620 views
TIFR ECE 2023 | Question: 8
Suppose a bag contains $5$ red balls, $3$ blue balls, and $2$ black balls. Balls are drawn without replacement until the bag is empty. Let $X_{i}$ be a random variable wh...
Page: