Recent questions tagged gate2011-ec

The block diagram of a system with one input $u$ and two outputs $y_1$ and $y_2$ is given below.A state space model of the above system in terms of the state vector $\und...

Two systems $H_1(z)$ and $H_2(z)$ are connected in cascade as shown below. The overall output $y(n)$ is the same as the input $x(n)$ with a one unit delay. The transfer f...

An $8085$ assembly language program is given below. Assume that the carry flag is initially unset. The content of the accumulator after the execution of the program is$$\...

The first six points of the $8$-point $\text{DFT}$ of a real valued sequence are $5,1-\mathrm{j} 3,0,3-\mathrm{j} 4,0$ and $3+\mathrm{j} 4$. The last two points of the $\...

A fair dice is tossed two times. The probability that the second toss results in a value that is higher than the first toss is$2 / 36$$2 / 6$$5 / 12$$1 / 2$

A current sheet $\vec{J}=10 \hat{u}_y \; A / m$ lies on the dielectric interface $x=0$ between two dielectric media with $\varepsilon_{r 1}=5, \mu_{r 1}=1$ in Region-$1 \...

A transmission line of characteristic impedance $50 \; \Omega$ is terminated in a load impedance $\text{Z}_\text{L} .$ The $\text{VSWR}$ of the line is measured as $5$ an...

$\mathrm{X(t)}$ is a stationary random process with autocorrelation function $R_X(\tau)=\exp \left(-\pi \tau^2\right)$. This process is passed through the system shown be...

The output of a $3$-stage Johnson (twisted-ring) counter is fed to a digital-to-analog (D/A) converter as shown in the figure below. Assume all states of the counter to b...

In the circuit shown below, for the $\text{MOS}$ transistors, $\mu_{\mathrm{n}} \mathrm{C}_{\mathrm{ox}}=100 \; \mu \mathrm{A} / \mathrm{V}^2$ and the threshold voltage $...

An input $\mathrm{x(t)}=\exp (-2 \mathrm{t)u(t})+\delta(\mathrm{t}-6)$ is applied to an LTI system with impulse response $\mathrm{h(t)=u(t})$. The output is$[1-\exp (-2 \...

For a $\mathrm{BJT}$, the common-base current gain $\alpha=0.98$ and the collector base junction reverse bias saturation current $\mathrm{I}_{\mathrm{CO}}=0.6 \;\; \mu \m...

If $F(s)=L[f(t)]=\dfrac{2(s+1)}{s^2+4 s+7}$ then the initial and final values of $f(t)$ are respectively$0,2$$2,0$$0, 2 / 7$$2 / 7,0$

In the circuit shown below, the current $\text{I}$ is equal to$1.4 \angle 0^{\circ} \; \mathrm{A}$$2.0 \angle 0^{\circ} \; \mathrm{A}$$2.8 \angle 0^{\circ} \; \mathrm{A}$...

A numerical solution of the equation $f(x)=x+\sqrt{x}-3=0$ can be obtained using Newton-Raphson method. If the starting value is $x=2$ for the iteration, the value of $x$...

The channel resistance of an $\text{N}$-channel $\text{JFET}$ shown in the figure below is $600 \; \Omega$ when the full channel thickness $\left(\mathrm{t}_{\mathrm{ch}}...

The channel resistance of an $\text{N}$-channel $\text{JFET}$ shown in the figure below is $600 \; \Omega$ when the full channel thickness $\left(\mathrm{t}_{\mathrm{ch}}...

The input-output transfer function of a plant $H(s)=\frac{100}{s(s+10)^2}$. The plant is placed in a unity negative feedback configuration as shown in the figure below.Th...

The input-output transfer function of a plant $H(s)=\frac{100}{s(s+10)^2}$. The plant is placed in a unity negative feedback configuration as shown in the figure below.Th...

A four-phase and an eight-phase signal constellation are shown in the figure below.For the constraint that the minimum distance between pairs of signal points be $d$ for ...

A four-phase and an eight-phase signal constellation are shown in the figure below. Assuming high $\text{SNR}$ and that all signals are equally probable, the additional a...

In the circuit shown below, assume that the voltage drop across a forward biased diode is $0.7 \mathrm{~V}$. The thermal voltage $\mathrm{V}_{\mathrm{t}}=\mathrm{kT} / \m...

In the circuit shown below, assume that the voltage drop across a forward biased diode is $0.7 \mathrm{~V}$. The thermal voltage $\mathrm{V}_{\mathrm{t}}=\mathrm{kT} / \m...

Choose the most appropriate word from the options given below to complete the following sentence:Under ethical guidelines recently adopted by the Indian Medical Associati...

The horse has played a little known but very important role in the field of medicine. Horses were injected with toxins of diseases until their blood built up immunities. ...

The fuel consumed by a motorcycle during a journey while traveling at various speeds is indicated in the graph below.The distances covered during four laps of the journey...

Three friends, $\mathrm{R}, \mathrm{S}$ and $\mathrm{T}$ shared toffee from a bowl. $\mathrm{R}$ took $1 / 3^{\text {rd }}$ of the toffees, but returned four to the bowl....

Given that $\mathrm{f(y})=|\mathrm{y}| / \mathrm{y},$ and $\mathrm{q}$ is any non-zero real number, the value of $|\mathrm{f}(\mathrm{q})-\mathrm{f}(-\mathrm{q})|$ is$0$$...