Recent questions tagged gate2003-ec

In an $8085$ microprocessor, the instruction CMP $B$ has been executed while the content of the accumulator is less than that of register $B$. As a resultCarry flag will ...

Let $X$ and $Y$ be two statistically independent random variables uniformly distributed in the ranges $(-1,1)$ and $(-2,1)$ respectively. Let $Z=X+Y$. Then the probabilit...

Let $\mathrm{P}$ be linearity, $\mathrm{Q}$ be time-invariance, $\mathrm{R}$ be causality and $\mathrm{S}$ be stability. A discrete-time system has the input-output relat...

Data for Q. 63-64 are given below. Solve the problems and choose the correct answers.The system under consideration is an RC low-pass filter (RC-LPF) with $R=1.0 \mathrm{...

Data for Q. 63-64 are given below. Solve the problems and choose the correct answers.The system under consideration is an $R C$ low-pass filter (RC-LPF) with $R=1.0 \; \m...

Data for Q. 65-66 are given below. Solve the problems and choose the correct answers.Let $X$ be the Gaussian random variable obtained by sampling the process at $t=t_{i}$...

Let $Y$ and $Z$ be the random variables obtained by sampling $X(t)$ at $t=2$ and $t=4$ respectively. Let $W$ $=Y-Z$. The variance of $W$ is$13.36$$9.36$$2.64$$8.00$

Let $x(t)=2 \cos (800 \pi t)+\cos (1400 \pi t) . x(t)$ is sampled with the rectangular pulse train shown in the figure. The only spectral components(in $\mathrm{kHz}$ ) p...

The signal flow graph of a system is shown in the figure. The transfer function $\frac{C(s)}{R(s)}$ of the system is$\frac{6}{s^{2}+29 s+6}$$\frac{6 s}{s^{2}+29 s+6}$$\fr...

The root locus of the system $\mathrm{G}(\mathrm{s}) \mathrm{H}(s)$ $=\frac{\mathrm{K}}{s(s+2)(s+3)}$ has the break-away point located at$(-0.5,0)$$(-2.548,0)$$(-4,0)$$(-...

The approximate Bode magnitude plot of a minimum-phase system is shown in the figure. The transfer function of the system is$10^8 \frac{(s+0.1)^3}{(s+10)^2(s+100)}$$10^{7...

A second-order system has the transfer function$\frac{C(s)}{R(s)}=\frac{4}{s^{2}+4 s+4}$.With $r(t)$ as the unit-step function, the response $c(t)$ of the system is repre...

The gain margin and the phase margin of a feedback system with $\mathrm{G}(\mathrm{s}) \mathrm{H}(\mathrm{s})=\frac{\mathrm{s}}{(\mathrm{s}+100)^{3}}$ are$0 \mathrm{~dB},...

The zero-input response of a system given by the state-space equation$\left[\begin{array}{l}\dot{x}_{1} \\ \dot{x}_{2}\end{array}\right]=\left[\begin{array}{ll}1 & 0 \\ 1...

A DSB-SC signal is to be generated with a carrier frequency $f_{t}=1 \; \mathrm{MHz}$ using a non-linear device with the input-output characteristic\[v_{0}=a_{0} v_{i}+a_...

The data for Q. 75-76 are given below. Solve the problems and choose the correct answers.Let $m(t)=\cos \left[\left(4 \pi \times 10^{3}\right) t\right]$ be the message si...

The data for Q. 75-76 are given below. Solve the problems and choose the correct answers.Let $m(t)=\cos \left[\left(4 \pi \times 10^{3}\right) t\right]$ be the message si...

Choose the correct one from among the alternative $\text{A, B, C. D}$ after matching an item in Group $1$ with the most appropriate item in Group $2.$$\begin{array}{ll}\q...

A superheterodyne receiver is to operate in the frequency range $550 \; \mathrm{kHz}-1650 \; \mathrm{kHz}$, with the intermediate frequency of $450 \; \mathrm{kHz}$. Let ...

A sinusoidal signal with peak-to-peak amplitude of $1.536 \mathrm{~V}$ is quantized into $128$ levels using a mid-rise uniform quantizer. The quantization-noise power is$...

If $E_{b^{\prime}}$ the energy per bit of a binary digital signal, is $10^{-6}$ watt-sec and the one-sided power spectral density of the white noise, $\mathrm{N}_{0}=10^{...

The input to a linear delta modulator having a step-size $\Delta=0.628$ is a sine wave with frequency $f m$ and peak amplitude $E_{m}$. If the sampling frequency $f_{s}=4...

If $\text{S}$ represents the carrier synchronization at the receiver and $\rho$ represents the bandwidth efficiency, then the correct statement for the coherent binary $\...

A signal is sampled at $8 \; \mathrm{kHz}$ and is quantized using $8$-bit uniform quantizer. Assuming $\mathrm{SNR}_q$ for a sinusoidal signal, the correct statement for ...

Medium $1$ has the electrical permittivity $\varepsilon_{1}=1.5 \varepsilon_{0}$ farad $/ \mathrm{m}$ and occupies the region to the left of $x=0$ plane. Medium $2$ has t...

If the electric field intensity is given by\[\mathrm{E}=\left(x u_{x}+y u_{y}+z u_{z}\right) \text { volt } / \mathrm{m} \text {, }\]the potential difference between $X(2...

A uniform plane wave travelling in air is incident on the plane boundary between air and another dielectric medium with $\varepsilon_{r}=4$. The reflection coefficient fo...

If the electric field intensity associated with a uniform plane electromagnetic wave travelling in a perfect dielectric medium is given by $E(z, t)=10 \cos \left(2 \pi \t...

A short-circuited stub is shunt connected to a transmission line as shown in the figure is. If $Z_{0}=50 \mathrm{ohm}$, the admittance $Y$ seen at the junction of the stu...

Two identical antennas are placed in the $\theta=\pi / 2$ plane as shown in the figure. The elements have equal amplitude excitation with $180^{\circ}$ polarity differenc...