Recent questions tagged gate2020-ec

5 5 votes
3 answers 3 answers
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The untimely loss of life is a cause of serious global concern as thousands of people get killed ____ accidents every year while many other die ____ diseases like cardio ...
7 7 votes
5 answers 5 answers
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He was not only accused of theft _____ of conspiracy.ratherbut alsobut evenrather than
9 9 votes
3 answers 3 answers
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Select the word that fits the analogy:Explicit: Implicit :: Express: _______ImpressRepressCompressSuppress
2 2 votes
4 answers 4 answers
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The Canadian constitution requires that equal importance be given to English and French. Last year, Air Canada lost a lawsuit, and had to pay a six-figure fine to a Frenc...
5 5 votes
4 answers 4 answers
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A superadditive function $f(\cdot)$ satisfies the following property $$f\left ( x_{1} +x_{2}\right )\geq f\left ( x_{1} \right ) + f\left ( x_{2} \right )$$Which of the f...
3 3 votes
5 answers 5 answers
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The global financial crisis in $2008$ is considered to be the most serious world-wide financial crisis, which started with the sub-prime lending crisis in $\text{USA}$ in...
9 9 votes
4 answers 4 answers
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It is quarter past three in your watch. The angle between the hour hand and the minute hand is ________.$0^{\circ}$$7.5^{\circ}$$15^{\circ}$$22.5^{\circ}$
15 15 votes
5 answers 5 answers
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A circle with centre $\text{O}$ is shown in the figure. A rectangle $\text{PQRS}$ of maximum possible area is inscribed in the circle. If the radius of the circle is $a$,...
8 8 votes
3 answers 3 answers
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$a, b, c$ are real numbers. The quadratic equation $ax^{2}-bx+c=0$ has equal roots, which is $\beta$, then$\beta =b/a$$\beta^{2} =ac$$\beta^{3} =bc/\left ( 2a^{2} \right ...
9 9 votes
4 answers 4 answers
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The following figure shows the data of students enrolled in $5$ years $(2014\;\text{to}\; 2018)$ for two schools $P$ and $Q$. During this period, the ratio of the average...
1 1 vote
0 0 answers
926
926 views
If $v_{1},v_{2}, \dots ,v_{6}$ are six vectors in $\mathbb{R}^{4}$ , which one of the following statements is $\text{FALSE}$?It is not necessary that these vectors span $...
1 1 vote
0 0 answers
844
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For a vector field $\overrightarrow{A}$, which one of the following is $\text{FALSE}$?$\overrightarrow{A}$ is solenoidal if $\triangledown \cdot \overrightarrow{A}=0.$$\t...
0 0 votes
0 0 answers
895
895 views
The partial derivative of the function$$f(x, y, z) = e^{1-x\cos y} + xze^{-1/(1+y^{2})}$$with respect to $x$ at the point $(1,0,e)$ is$-1$$0$$1 \\$$\dfrac{1}{e}$
1 1 vote
1 1 answer
831
831 views
The general solution of $\dfrac{\mathrm{d^{2}} y}{\mathrm{d} x^{2}}-6\dfrac{\mathrm{d} y}{\mathrm{d} x}+9y=0$ is$y=C_{1}e^{3x}+C_{2}e^{-3x}$$y=(C_{1}+C_{2}x)e^{-3x}$$y=(C...
0 0 votes
0 0 answers
658
658 views
The output $y[n]$ of a discrete-time system for an input $x[n]$ is$$y\left [ n \right ]=\underset{-\infty \leq k\leq n}{\text{max}} \mid x\left [ k \right ] \mid$$The uni...
0 0 votes
0 0 answers
815
815 views
A single crystal intrinsic semiconductor is at a temperature of $300$ $\text{K}$ with effective density of states for holes twice that of electrons. The thermal voltage i...
0 0 votes
0 0 answers
719
719 views
Consider the recombination process via bulk traps in a forward biased $pn$ homojunction diode. The maximum recombination rate is $U_{\text{max}}$. If the electron and the...
1 1 vote
0 0 answers
1.2k
1.2k views
The components in the circuit shown below are ideal. If the op-amp is in positive feedback and the input voltage $V_{i}$ is a sine wave of amplitude $1$ $\text{V}$, the o...
0 0 votes
0 0 answers
969
969 views
In the circuit shown below, the Thevenin voltage $V_{TH}$is $2.4\:V$$2.8\:V$$3.6\:V$$4.5\:V$
4 4 votes
1 1 answer
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The figure below shows a multiplexer where $S_{1}$ and $S_{0}$ are the select lines, $I_{0}$ to $I_{3}$ are the input data lines, $\text{EN}$ is the enable line, and $\te...
0 0 votes
0 0 answers
878
878 views
The pole-zero map of a rational function $G(s)$ is shown below. When the closed contour $\Gamma$ is mapped into the $G(s)$-plane, then the mapping encircles ...
0 0 votes
0 0 answers
815
815 views
A digital communication system transmits a block of $N$ bits. The probability of error in decoding a bit is $\alpha$. The error event of each bit is independent of the er...
0 0 votes
0 0 answers
536
536 views
The impedances $Z=jX,$ for all $X$ in the range $\left ( -\infty ,\infty \right )$, map to the Smith chart asa circle of radius $1$ with centre at $(0, 0)$.a point at the...
0 0 votes
0 0 answers
564
564 views
Which one of the following pole-zero plots corresponds to the transfer function of an $\text{LTI}$ system characterized by the input-output difference equation given belo...
0 0 votes
0 0 answers
847
847 views
In the given circuit, the two-port network has the impedance matrix $\begin{bmatrix} Z \end{bmatrix}=\begin{bmatrix} 40 & 60\\ 60& 120 \end{bmatrix}$. The value of $Z_{L}...
0 0 votes
0 0 answers
740
740 views
The current in the $\text{RL}$-circuit shown below is $i\left ( t \right )=10\cos\left ( 5t-\pi /4 \right )A$. The value of the inductor $\text{(rounded off to two decima...
1 1 vote
1 1 answer
869
869 views
In the circuit shown below, all the components are ideal. If $V_{i}$ is $+2\:V$, the current $I_{o}$ sourced by the op-amp is __________ $\text{mA}$.
0 0 votes
0 0 answers
580
580 views
A $10$-bit D/A converter is calibrated over the full range from $0$ to $10$ V. If the input to the D/A converter is $13 \:A$ (in hex), the output ( rounded off to three d...
0 0 votes
0 0 answers
648
648 views
A binary random variable $X$ takes the value $+2$ or $-2$. The probability $P(X=+2)=\alpha $. The value of $\alpha$ (rounded off to one decimal place), for which the entr...
0 0 votes
0 0 answers
806
806 views
The random variable $$Y=\int_{-\infty }^{\infty }W\left ( t \right )\phi \left ( t \right )dt, \text{ where } \phi \left ( t \right )=\begin{cases} 1; & 5\leq t\leq 7 &\\...