Recent questions tagged gatein-2026

A signal $x(t)$ is shown below.The plot of $y(t)=1-x(4-t)$ is shown in $\_\_\_\_\_\_$.  

In the table shown below, List-I are the system responses to input $x(t)$ and List-II are the system properties. The correct matching is $\_\_\_\_\_\_$.$$\begin{array}{|l...

Given two signals: $x(t)=u(t-2)-u(t-3)$, and $y(t)=e^{-4 t} u(t)$. If $z(t)=x(t) * y(t)$, then $Z(s)$ is $\_\_\_\_$.$\dfrac{e^{-3 s}\left[e^{s}-1\right]}{s(s+4)}$$\dfrac{...

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 \\-...

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...

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{...

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...

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...

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...

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...

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...

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 ...

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...

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 ...

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{...

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...

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$\int_{-\infty}^{\infty} f(\tau) d \tau=$ $\_\_\...

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...

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...

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)

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...

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...

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 $6$ $...

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...

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 $50 \: \Omega$...