Recent questions without answers

A paper shown in Panel $\text{I}$ is folded along the dashed lines (- - -) to construct a cube. The shaded regions shown in Panel $\text{I}$ appear on the outer surface o...

In a population, patients who have high cholesterol also have high blood-pressure (BP). Some patients with high BP also have diabetes. There are no patients who have both...

Which one among the following statements is true for the function $f(x)=x\mid x \mid $?$f(x)$ is discontinuous but not differentiable at $x=0$.$f(x)$ is discontinuous and...

Consider a function $f(z)=z^{2}+z+1$ where $z \in \mathbb{C}$ is a complex variable. A simple closed contour $\gamma$ in $z$-plane encloses the point $z=1+0 j$.The value ...

An electric field has a potential of $V(x, y, z)=\sqrt{x^{2}+y^{2}+z^{2}} \mathrm{~V}$. A charge of $1$ coulomb placed at $(\hat{\imath}+\hat{\jmath}+\hat{k})$ experience...

The RLC filter shown below acts as a $\_\_\_\_$.low pass filterhigh pass filterband pass filterband stop filter

A single phase step-down transformer has a high voltage primary winding and a low voltage secondary winding. The secondary winding is connected to a load impedance $Z_{2}...

A square wave signal of frequency $20$ $\mathrm{kHz}$ is passed through an ideal low-pass filter with cut-off frequency of $21$ $\mathrm{kHz}$. The output signal is a $\_...

Given $x(t)=4 \sin (15 \pi t)+7 \cos (4 \pi t)$, where $t$ is in seconds.The fundamental period of $x(t)$ is $\_\_\_\_\_\_$ seconds.$15$$60$$30$$2$

Among the following, the differential equation(s) not representative of a linear dynamical system is/are $\_\_\_\_\_\_$.$\dfrac{d^{2} x}{d t^{2}}+2 t \dfrac{d x}{d t}+x(t...

A common gate amplifier represents a $\_\_\_\_\_\_$.voltage controlled voltage sourcecurrent controlled current sourcevoltage controlled current sourcecurrent controlled ...

In the circuit shown, the BJT has a $\beta$ of $100$. The base-emitter junction voltage is $0.65$ $\mathrm{V}$. The quiescent collector current, $I_{C}$ is $\_\_\_\_$ $\m...

The maximum signal to quantization noise ratio (SQNR) for a $16$-bit analog-todigital converter is approximately $\_\_\_\_\_\_$ $\mathrm{dB}$.$48$$68$$88$$98$

An analog speech signal contains signals from $200$ $\mathrm{Hz}$ to $2400$ $\mathrm{Hz}$. It is sampled at $6$ $\mathrm{kHz}$ and quantized with $512$ levels for pulse c...

The slope efficiency of a laser diode is $0.5 \mathrm{~W} / \mathrm{A}$, and the output optical power at a current of $100$ $\mathrm{mA}$ is $30$ $\mathrm{mW}$. Assuming ...

In a linear element, the measured current is $100 \mathrm{~mA} \pm 2.5 \%$ and the measured voltage is $5 \mathrm{~V} \pm 5 \%$. Which of the following options show $(\ma...

A data set is given to be $[1,2,0,-1,-3,1,2,0,1]$.The median of the data set is $\_\_\_\_$ . (rounded off to the nearest integer)

The potential difference between nodes $A$ and $B$ in a circuit is $v_{A}-v_{B}=5 \mathrm{~V}$. The work done in moving a charge of $1$ coulomb from point $B$ to $A$ is $...

In a series $R L$ circuit shown in the figure, the current through the resistor lags the AC source voltage by $45^{\circ}$. Let $R=100 \pi \Omega$ and $L=2 \mathrm{H}$.Th...

The minimum number of comparators required in a $6$-bit flash analog-to-digital converter is $\_\_\_\_\_\_$. (answer in integer)

A box contains three apples and two oranges. Two fruits are removed randomly in succession. The probability that the first is an apple and the second is an orange is $\_\...

An electric field in free space is$\vec{E}=(2 x+5 y+6 z) \hat{\imath}+(5 x+4 y+10 z) \hat{\jmath}+(6 x+10 y+2 z) \hat{k} \mathrm{~V} / \mathrm{m}.$The charge density is $...

A straight thin wire carrying a current of $I=1 \mathrm{~A}$ in the direction $\widehat{n}=\dfrac{1}{\sqrt{6}} \hat{\imath}+\dfrac{2}{\sqrt{6}} \hat{\jmath}+\dfrac{1}{\sq...

A two-port network has $\mathrm{z}$-parameters $z_{11}=z_{22}=10 \Omega$, and $z_{12}=z_{21}=5 \Omega$.The value of $R_{L}$ such that maximum power is transferred to $R_{...

In the circuit shown below, the value of the output voltage $V_{0}$ is $\_\_\_\_$ $\mathrm{V}$.$2$$3$$4$$8$

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{...