GATE EC question library

The contents of Register $\text{(B)}$ and Accumulator $\text{(A)}$ of $8085$ microprocessor are $49 \mathrm{H}$ and $3 \mathrm{AH}$ respectively. The contents of $\mathrm{A}$ and the slatus of carry flag $(C Y)$ and sign flag $(S)$ after executing $\text{SUB B}$ instructions are

A sequential circuit using $D$ Flip-Flop and logic gates is shown in figure, where $X$ and $Y$ are the inputs and $Z$ is the output. The circuit is

For the $4$ bit $\text{DAC}$ shown, the output voltage $v_{0}$ is

For the logic circuit shown in, the simplified Boolean expression for the output $Y$ is

if the $\text{op-amp}$ in given figure, has an input offset voltage of $5 \; \mathrm{mV}$ and an open-loop voltage gain of $10,000,$ then $v_{0}$ will be

In the circuit of the figure, assume that the transistor is in active region. It has a large $\beta$ and its base-emitter voltage is $0.7 \mathrm{~V}$. The value of $\mathrm{I}_{\mathrm{c}}$ is

A linear time invariant system has an impulse response $e^{2 t}, t>0$. If the initial conditions are zero and the input is $e^{3 t}$, then output for $t>0$ is

For the circuit in the figure, the voltage $v_{0}$ is

Use the data of the figure. The current $i$ in the circuit of the figure is

The eigen values of the matrix $\left[\begin{array}{rrrr}2 & -1 & 0 & 0 \\ 0 & 3 & 0 & 0 \\ 0 & 0 & -2 & 0 \\ 0 & 0 & -1 & 4\end{array}\right]$ are

Identify which of the following is $\text{NOT}$ a true of the graph shown in the given figure is

Identify which one of the following will $\text{NOT}$ satisfy the wave equation.

Indicate which one of the following will $\text{NOT}$ exist in a rectangular resonant cavity.

Assuming perfect conductors of a transmission line, pure $\text{TEM}$ propagation is $\text{NOT}$ possible in

An electric field on a plane is described by its potential $$\mathrm{V}=20\left(r^{-1}+r^{-2}\right)$$ where $r$ is the distance from the source. The field is due to

A modulated signal is given by $$s(t)=e^{-a t} \cos \left[\left(\omega_{c}+\Delta \omega\right) t\right] u(t),$$ where $a, \omega_{c}$ and $\Delta \omega$ are positive constants, and $\omega_{c} \gg \Delta \omega$. The complex envelope of $s(t)$ is given by

A modulated signal is given by, $$s(t)=m_{1}(t) \cos \left(2 \pi f_{c} t\right)+m_{2}(t) \sin \left(2 \pi f_{c} t\right)$$ where the baseband signal $m_{1}(t)$ and $m_{2}(t)$ have bandwidths of $10 \; \mathrm{kHz}$ and $15 \; \mathrm{kHz}$, respectively. The bandwidth of the modulated signal, in $\mathrm{kHz}$, is

The input to a channel is a bandpass signal. It is obtained by linearly modulating a sinusoidal carrier with a single-tone signal. The output of the channel due to this input is given by $$y(t)=(1 / 100) \cos \left(100 t-10^{-6}\right) \cos \left(10^{6} t-1.56\right)$$ The group delay $\left(t_{g}\right)$ and the phase delay $\left(t_{p}\right)$ in …

A signal $x(t)$ has a Fourier transform $X(\omega)$. If $x(t)$ is a real and odd function of $t$, then $X(\omega)$ is

The phase margin (in degrees) of a system having the loop transfer function $$\mathrm{G}(s) \mathrm{H}(s)=\frac{2 \sqrt{3}}{s(s+1)} \text{ is }$$