Recent questions without an upvoted answer

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A linear time invariant (LTI) system is described by:$$\begin{array}{c}{\left[\begin{array}{l}\dot{x}_{1} \\\dot{x}_{2}\end{array}\right]=\left[\begin{array}{cc}0 & 1 \\-...
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In the circuit shown below, $R$ is $1 \mathrm{k} \Omega$ and $R_{f}$ is $10 \mathrm{k} \Omega$. If $V_{\text {in }}$ is 100 mV and the op-amps have supply voltages of $\p...
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In the following active filter circuit with ideal op-amps, $R$ is $1 \mathrm{k} \Omega, C$ is $1 \mu \mathrm{~F}$, and $V_{\text {in }}$ has an amplitude of $1$ $\mathrm{...
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The initial state of $Q_{3} Q_{2} Q_{1} Q_{0}$ in the digital circuit shown below is $1011$.The new value of $Q_{3} Q_{2} Q_{1} Q_{0}$ after two rising edges of the clock...
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A closed Lissajous pattern observed on an oscilloscope in the $\mathbf{X}-\mathbf{Y}$ mode has three horizontal tangencies and two vertical tangencies in steady state. If...
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If the definition of $\text{SI}$ unit '$\text{X}$' is required to define SI unit '$\text{Y}$', the dependency is indicated as $\mathrm{X} \rightarrow \mathrm{Y}$. A valid...
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A parallel plate capacitive displacement sensor has a plate area of $2 \mathrm{~cm}^{2}$. The air gap between the plates is decreased by $0.1$ mm from an initial value of...
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The emitted radiant energy from a piece of metal was measured using a pyrometer. The temperature was calculated to be $1000^{\circ} \mathrm{C}$, assuming a surface emissi...
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An amplitude modulated voltage signal $x(t)$ drives a load of $1 \Omega$.$$x(t)=K \cos (300 \pi \: t)+L \cos (240 \pi \: t)+L \cos (360 \pi \: t) .$$If the efficiency is ...
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Given $f(x, y)=x^{2}-2 x y+y^{2}$The complete contour of the equation $f(x, y)=1$ is described by the option(s) $\_\_\_\_$.A line, $x-y=1$A circle with radius $1$An ellip...
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Given a differential equation $\dfrac{d^{2} x}{d t^{2}}+x=0$ with $x(0) \neq 0$.Which of the following statements is/are true?$\mid x(t) \mid ^{2}+\left|\dfrac{d x(t)}{d ...
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Which of the following functions represent(s) the output of the CMOS logic-gate shown in the circuit below?$f=\overline{\mathrm{A}}+\overline{\mathrm{B}} \cdot \overline{...
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A $16$ -bit processor has $16$ -bit wide instructions and a few internal registers. Every $16$ -bit instruction is encoded in a fixed format with one operation code of $7...
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Let $f(t)=\left\{\begin{array}{cc}1, & t \in[0,2] \\ -t+3, & t \in[2,3] \\ 0, & \text { otherwise }\end{array}\right.$Then$\int_{-\infty}^{\infty} f(\tau) d \tau=$ $\_\_\...
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A single phase transformer has a rating of $10 \mathrm{kVA}, 50 \mathrm{~Hz}, 1100 \mathrm{~V} / 220 \mathrm{~V}$. In an open circuit test with the high voltage side open...
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A linear time invariant (LTI) system has a transfer function$$G(s)=\frac{10(s+1)}{s\left(s^{2}+2 s+5\right)}$$The system is placed in unity negative feedback configuratio...
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The system $G(s)=\dfrac{K}{(s+1)^{4}}$ has a gain margin of $20$ dB. The value of $K$ is $\_\_\_\_$. (rounded off to two decimal places)
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In the phase-locked-loop circuit shown below, the output of the VCO is a digital square wave.If the input is a square wave at $10$ $\mathrm{kHz}$, the steady state freque...
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A digital counter increments its count every $0.1 \mu \mathrm{~s}$. The counter is used in an instrument to measure frequency. The counter is operated for one period of t...
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A current carrying semiconductor of thickness $0.7$ mm is placed in a transverse magnetic field. The measured Hall voltage is $0.9$ $\mathrm{mV}$ and the current is $6$ $...
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For a fiber Bragg grating-based sensor, the shift in the Bragg wavelength gives information about the value of the measurand. For a Bragg wavelength of $1550$ $\mathrm{nm...
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A photodiode has a responsivity $0.8 \mathrm{~A} / \mathrm{W}$. If the input optical power to the photodiode is $2$ $\mathrm{mW}$, the power delivered to a $50 \: \Omega$...
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Despite his initial hesitation, Rehman's $\_\_\_\_\_\_\_\_\_\_\_$ to contribute to the success of the project never wavered.Select the most appropriate option to complete...
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If $P e^{x}=Q e^{-x}$ for all real values of $x$, which one of the following statements is true?$P=Q=0$$P=Q=1$$P=1 ; Q=-1$$\frac{P}{Q}=0$
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The paper as shown in the figure is folded to make a cube where each square corresponds to a particular face of the cube. Which one of the following options correctly rep...
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Based only on the conversation below, identify the logically correct inference:"Even if I had known that you were in the hospital, I would not have gone there to see you"...
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If IMAGE and FIELD are coded as FHBNJ and EMFJG respectively then, which one among the given options is the most appropriate code for BEACH?CEADPIDBFCJGIBCIBCEC
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Which one of the following options is correct for the given data in the table?$\begin{array}{|c|c|c|c|c|}\hline\text{Iteration (i)} & 0 & 1 & 2 & 3 \\ \hline\text{Input (...
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In the given figure, $PQRS$ is a square of side $2 \: \mathrm{cm}$ and $PLMN$ is a rectangle. The corner $L$ of the rectangle is on the side $QR$. Side $MN$ of the rectan...
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The diagram below shows a river system consisting of $7$ segments, marked $\mathrm{P}, \mathrm{Q}, \mathrm{R}, \mathrm{S}, \mathrm{T}, \mathrm{U}$, and $\mathrm{V}$. It s...
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A $2 n \times 2 n$ matrix $A=\left[a_{i j}\right]$ has its elements as$$ a_{i j}=\begin{cases} \beta & \text { if }(i+j) \text { is odd } \\ -\beta & \text { if }(i+j) \t...
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The solution of the differential equation $\frac{\mathrm{d} y}{\mathrm{~d} x}=9 \frac{x}{y}$ representsa hyperbolaa parabolaan ellipsea circle
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The working of the hand-held metal detector most widely used by security personnel for human frisking is based on the principle ofchange in reluctance of an iron core in ...
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The primary coil of a linear variable differential transformer (LVDT) is supplied with AC voltage as shown in the figure. The secondary coils are connected in series oppo...
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In the force transducer shown in Figure (a), four identical strain gauges $S1, S2, S3$, and $S4$ are mounted on a cantilever at equal distance from its base. $S1$ and $S2...
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Let a continuous-time signal be $x(t)=e^{j 9 t}+e^{j 5 t}$, where $j=\sqrt{-1}$ and $t$ is in seconds. The fundamental period of magnitude of $x(t)$, in seconds, is$\pi$$...
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The minimized expression of the Boolean function $\mathrm{Y}(\mathrm{P}, \mathrm{Q}, \mathrm{R})$ implemented by the multiplexer (MUX) circuit shown in the figure is$\mat...
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The $4$-bit signed $2$'s complement form of $(5)_{10}+(5)_{10}$ is$(-6)_{10}$$(-7)_{10}$$(-5)_{10}$$(-8)_{10}$
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An infinite sheet of uniform charge $\rho_{s}=10 \mathrm{C} / \mathrm{m}^{2}$ is placed on $z=0$ plane. The medium surrounding the sheet has a relative permittivity of $1...
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For the ideal opamp based circuit shown in the figure, the ratio $\frac{V}{I}$ is$\left(\frac{R_{3}+R_{4}}{R_{1}+R_{3}}\right) R_{1}$$\left(\frac{R_{2}+R_{4}}{R_{1}+R_{3}...