GATE ECE 2016 Set 1

## GATE ECE

Consider the oscillator circuit shown in the figure. The function of the network (shown in dotted lines) consisting of t

View Question Consider the constant current source shown in the figure below. Let $$\beta $$ represent the current gain of the trans

View Question The following signal Vi of peak voltage 8V is applied to the non-inverting terminal of an ideal Opamp. The transistor ha

View Question An ideal opamp has voltage source V1, V3, V5, ......, VN-1, connected to the non- inverting input and V2, V4, V6,

View Question A p-i-n photo diode of responsivity 0.8A/W is connected to the inverting input of an ideal opamp as shown in the figure,

View Question A super heterodyne receiver operates in the frequency range of 58 MHz – 68 MHz. The
intermediate frequency f1F and local

View Question Consider binary data transmission at a rate of 56 kbps using baseband binary pulse amplitude modulation (PAM) tha

View Question An antenna pointing in a certain direction has a noise temperature of 50K. The ambient
temperature is 290K. The antenna

View Question Consider a discreet memoryless source with alphabet $$S = \left\{ {{s_0},\,{s_1},\,{s_2},\,{s_3},\,{s_{4......}}} \right

View Question A digital communication system uses a repetition code for channel encoding/decoding. During transmission, each bit is re

View Question An analog pulse s(t) is transmitted over an additive white Gaussian noise (AWGN) channel. The received signal is r(t) =

View Question The open-loop transfer function of a unity-feedback control system is
$$$G\left(S\right)\;=\frac K{s(s\;+\;2)}$$$
For t

View Question Match the inferences X, Y, and Z, about a system, to the corresponding properties of the
elements of first column in Rou

View Question The open-loop transfer function of a unity-feedback control system is
$$$G\left(s\right)=\frac K{s^2+5s+5}$$$
The value

View Question The transfer function of a linear time invariant system is given by $$H\left(s\right)\;=\;2s^4\;-\;5s^3\;+\;5s\;-\;2$$.

View Question A closed-loop control system is stable if the Nyquist plot of the corresponding open-loop transfer
function

View Question The output of the combinational circuit given below is

View Question The functionality implemented by the circuit below is

View Question Identify the circuit below.

View Question Concentric spherical shells of radii 2 m, 4 m, and 8 m carry uniform surface charge densities
of 20 nC/m2
, −4 nC/m2
and

View Question The propagation constant of a lossy transmission line is (2 + j5) $${m^{ - 1}}$$ and its characteristic impedance is (50

View Question The electric field of a uniform plane wave travelling along the negative $$z$$ direction is given by the following equat

View Question An antenna pointing in a certain direction has a noise temperature of $$50K$$. The ambient temperature is $$290K$$. The

View Question Two lossless X-band horn antennas are separated by a distance of $$200\lambda $$. The amplitude reflection coefficients

View Question The far-zone power density radiated by a helical antenna is approximated as:
$$$\overrightarrow W {\,_{rad}} = \overrigh

View Question A small percentage of impurity is added to an intrinsic semiconductor at 300 K. Which one of the
following statements is

View Question Consider the following statements for a metal oxide semiconductor field effect transistor
(MOSFET):
P: As channel length

View Question What is the voltage Vout in the following circuit?

View Question Consider an n-channel metal oxide semiconductor field effect transistor (MOSFET) with a gate-to-source
voltage of 1.8 V.

View Question Let $${M^4} = {\rm I}$$ (where $${\rm I}$$ denotes the identity matrix) and $$M \ne {\rm I},\,\,{M^2} \ne {\rm I}$$ and

View Question A sequence $$x\left[ n \right]$$ is specified as
$$$\left[ {\matrix{
{x\left[ n \right]} \cr
{x\left[ {n - 1} \

View Question The integral $$\,\,{1 \over {2\pi }}\int {\int_D {\left( {x + y + 10} \right)dxdy\,\,} } $$ where $$D$$ denotes the disc

View Question The region specified by
$$\left\{ {\left( {\rho ,\varphi ,{\rm Z}} \right):3 \le \rho \le 5,\,\,{\pi \over 8} \le \ph

View Question Given the following statements about a function $$f:R \to R,$$ select the right option:
$$P:$$ If $$f(x)$$ is continuou

View Question The second moment of a Poisson-distributed random variables is $$2.$$ The mean of the random variable is _______.

View Question Two random variables $$X$$ and $$Y$$ are distributed according to
$$${f_{X,Y}}\left( {x,y} \right) = \left\{ {\matrix{

View Question In the following integral, the contour $$C$$ encloses the points $${2\pi j}$$ and $$-{2\pi j}$$. The value of the integr

View Question In an 8085 system, a PUSH operation requires more clock cycles than a POP operation. Which one of the following options

View Question In the circuit shown in the figure, the maximum power (in watt) delivered to the resistor R is _________.

View Question An AC voltage source V = 10 sin(t) volts is applied to the following network. Assume that
R1 = 3 kΩ, R2 = 6 kΩ and R3 =

View Question Consider a two-port network with the transmission matrix: T = $$\begin{bmatrix}A&B\\C&D\end{bmatrix}$$. If the n

View Question A network consisting of a finite number of linear resistor (R), inductor (L), and capacitor (C) elements, connected all

View Question Which one of the following is an eight function of the class of all continuous-time, linear, time- invariant systems u(t

View Question The Laplace transform of the casual periodic square wave of period T shown in the figure below is

View Question A sequence x$$\left[ n \right]$$ is specified as $$\left[ {\matrix{
{x\left[ n \right]} \cr
{x\left[ {n - 1} \ri

View Question Consider the sequence
$$x\left[ n \right]$$= $${a^n}u\left[ n \right] + {b^{\partial n}}u\left[ n \right]$$ , where u[n

View Question Consider the signal $$x\left[ n \right] = 6\delta \left[ {n + 2} \right] + 3\delta \left[ {n + 1} \right] + 8\delta \lef

View Question A continuous-time sinusoid of frequency 33 Hz is multiplied with a periodic Dirac impulse train of frequency 46 Hz. The

View Question A continuous -time function $$x\left( t \right)$$ is periodic with period $$T$$. The function is sampled uniformly with

View Question A first-order low-pass filter of time constant T is excited with different input signals (with zero initial conditions u

View Question ## General Aptitude

In a huge pile of apples and oranges, both ripe and unripe mixed together, 15% are unripe
fruits. Of the unripe fruits,

View Question Michael lives 10 km away from where I live. Ahmed lives 5 km away and Susan lives 7 km
away from where I live. Arun is f

View Question