Recent questions without answers

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 $50 \: \Omega$...

Despite his initial hesitation, Rehman's $\_\_\_\_\_\_\_\_\_\_\_$ to contribute to the success of the project never wavered.Select the most appropriate option to complete...

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$

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...

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"...

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

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 (...

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...

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...

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 ...

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...

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...

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$$...

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...

The $4$-bit signed $2$'s complement form of $(5)_{10}+(5)_{10}$ is$(-6)_{10}$$(-7)_{10}$$(-5)_{10}$$(-8)_{10}$

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...

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}...

In a single-phase AC circuit, the power consumed by load resistance $R_{\mathrm{L}}$ for an excitation $V_{\mathrm{S}}$ is measured using a wattmeter. The same wattmeter ...

Match the following sensors with their most suitable applications.$$\begin{array}{|l|l|l|l|} \hline & \textbf{Sensor} & & \textbf{Application} \\ \hline \text{P} & \text{...

A $3\frac{1}{ 2}$ digit digital voltmeter has a specified accuracy of $\pm(0.5 \%+1)$. If it is used to measure $10 \:\mathrm{V}$ DC voltage, the error in the measurement...

The circuit shown in Figure (a) can be represented using its equivalent T-model as shown in Figure (b). The values of the inductances $L_{1}, L_{2}$, and $L_{3}$ in the e...

Three parallel admittances $Y_{a}=-j 0.2 \mathrm{~S}, Y_{b}=0.3 \mathrm{~S}$, and $\quad Y_{c}=j 0.4 \mathrm{~S}$ connected in parallel with a voltage source $V_{s}=10 \a...

An oscilloscope has an input resistance of $1 \mathrm{M} \Omega$. A $10$ X passive attenuating probe is connected to it to increase the input voltage range as well as the...

For the transfer function $G(s)=1+\frac{2 s-1}{s^{3}+5 s^{2}+3 s+22}$, the number of zeros lying in the left half of the $s$-plane is$0$$1$$2$$3$

Consider the control system block diagram given in Figure (a). The loop transfer function $G(s) \: H(s)$ does not have any pole on the $j \omega$-axis. The counterclockwi...

A $60 \: \mathrm{V}$ DC source with an internal resistance $R_{\text{i n t}}=0.5 \: \Omega$ is connected through a switch to a pair of infinitely long rails separated by ...

The circuits mentioned in the following options are realized using ideal opamp. Among these, the circuit(s) performing non-linear operation on the input signal is/areInst...

If one of the eigenvectors of the matrix $A=\left[\begin{array}{cc}-1 & -1 \\ x & -4\end{array}\right]$ is along the direction of $\left[\begin{array}{c}\alpha \\ 2 \alph...

Consider the function $f(z)=\frac{2 z+1}{z^{2}-z}$, where $z$ is a complex variable. The sum of the residues at singular points of $f(z)$ is ______________ (in integer).

A dual-slope ADC has a fixed integration time of $100 \: \mathrm{ms}$. The reference voltage of the ADC is $-5 \: \mathrm{V}$. The time taken by the ADC to measure an inp...

In the circuit shown, assume that the BJT in the circuit has very high $\beta$ and $V_{B E}=0.7 \mathrm{~V}$, and the Zener diode has $V_{Z}=4.7 \mathrm{~V}$. The current...