GATE ECE 2017 Set 2

## GATE ECE

The output V0 of the diode circuit shown in the figure is connected to an averaging DC voltmeter. The reading on the DC

View Question In the circuit shown, transistors Q1 and Q2 are biased at a collector current of 2.6 mA.
Assuming that transistor curren

View Question In the voltage reference circuit shown in the figure, the op-amp is ideal and the transistors Q1,
Q2,….., Q32 are identi

View Question The un-modulated carrier power in an AM transmitter is 5kW. This carrier is modulated by a
sinusoidal modulating signal.

View Question A modulating signal given By $$x\left(t\right)=5\sin\left(4\mathrm\pi10^3\mathrm t\;-\;10\mathrm{πcos}2\mathrm\pi10^3\ma

View Question Which one of the following graphs shows the Shannon capacity (channel capacity) in bits of a memory less binary symmetri

View Question A sinusoidal message signal is converted to a PCM signal using a uniform quantizer. The required signal to quantization

View Question Consider a binary memoryless channel characterized by the transition probability diagram shown in the figure.
The chann

View Question Consider the random process
x(t) = U + Vt.
Where U is a zero mean Gaussian random variable and V is a random variable

View Question For the system shown in the figure, Y (s) / X (s) = __________.

View Question A unity feedback control system is characterized by the open-loop transfer function
$$$G\left(s\right)\;=\;\frac{2\left

View Question A unity feedback control system is characterized by the open loop transfer function
$$G(s) = {{10k\left( {s + 2} \right

View Question Which of the following statement is incorrect?

View Question A second order LTI system is described by the following state equation.
$$$\eqalign{
& {d \over {dt}}{x_1}\left( t

View Question Consider the state space realization
$$$\left[ {\matrix{
{\mathop x\limits^ \bullet } & {\left( t \right)} \cr

View Question Consider the circuit shown in the figure.
The Boolean expression F implemented by the circuit is

View Question A programmable logic array (PLA) is shown in the figure.
The Boolean function F implemented is

View Question Figure I shows a 4-bits ripple carry adder realized using full adders and Figure II shows the circuit of a full-adder (F

View Question In a DRAM,

View Question The state diagram of a finite state machine (FSM) designed to detect an overlapping sequence of three bits is shown in t

View Question Two conducting spheres S1 and S2 of radii a and b (b>a) respectively, are placed far apart and
connected by a long, t

View Question An electron (q1) is moving in free space with velocity 105 m/s towards a stationary electron
(q2) far away. The closest

View Question A two wire transmission line terminates in a television set. The VSWR measured on the line is 5.8. The percentage of pow

View Question Standard air filled rectangular waveguides of dimensions a = 2.29cm and b = 1.02cm are designed for radar applications.

View Question The permittivity of water at optical frequencies is $$1.75{\varepsilon _0}$$. It is found that an isotropic light source

View Question For a particular intensity of incident light on a silicon pn junction solar cell, the photocurrent
density (JL) is 2.5 m

View Question An npn bipolar junction transistor (BJT) is operating in the active region. If the reverse bias
across the base-collecto

View Question Consider the circuit shown in the figure. Assume base-to-emitter voltage VBE=0.8 V and common base current gain $$\left(

View Question An n-channel enhancement mode MOSFET is biased at VGS > VTH and VDS > (VGS - VTH), where
VGS is the gate-to-source

View Question Consider an n-channel MOSFET having width W, length L, electron mobility in the channel
$$\mu_n$$ and oxide capacitance

View Question For the circuit shown in the figure, P and Q are the inputs and Y is the output.
The logic implemented by the circuit i

View Question Two n-channel MOSFETs, T1 and T2, are identical in all respects except that the width of T2 is double of T1. Both the tr

View Question Assuming that transistor M1 and M2 are identical and have a threshold voltage of 1V, the state of transistors M1 and M2

View Question A MOS capacitor is fabricated on p-type Si (silicon) where the metal work function is 4.1 eV
and electron affinity of Si

View Question The rank of the matrix $$\left[ {\matrix{
1 & { - 1} & 0 & 0 & 0 \cr
0 & 0 & 1 & { -

View Question The values of the integrals $$\int\limits_0^1 {\left( {\int\limits_0^1 {{{x - y} \over {{{\left( {x + y} \right)}^3}}}dy

View Question The minimum value of the function $$f\left( x \right) = {1 \over 3}x\left( {{x^2} - 3} \right)\,\,$$ in the interval $$

View Question The smaller angle (in degrees) between the planes $$x+y+z=1$$ and $$2x-y+2z=0$$ is ________.

View Question $$500$$ students are taking one or more courses out of chemistry, physics and Mathematics. Registration records indicate

View Question Passengers try repeatedly to get a seat reservation in any train running between two stations until they are successful.

View Question The general solution of the differential equation $$\,\,{{{d^2}y} \over {d{x^2}}} + 2{{dy} \over {dx}} - 5y = 0\,\,\,$$

View Question The residues of a function $$f\left( z \right) = {1 \over {\left( {z - 4} \right){{\left( {z + 1} \right)}^3}}}$$ are

View Question An integral $${\rm I}$$ over a counter clock wise circle $$C$$ is given by $${\rm I} = \oint\limits_c {{{{z^2} - 1} \ove

View Question A connection is made consisting of resistance A in series with a parallel combination of
resistances B and C. Three resi

View Question Consider the circuit shown in the figure.
The Thevenin equivalent resistance (in Ω) across P – Q is _________.

View Question The switch in the circuit, shown in the figure, was open for a long time and is closed at t = 0.
The current i(t) (in am

View Question In the circuit shown, $$V$$ is a sinusoidal voltage source. The current $$I$$ is in phase with voltage $$V$$. The ratio

View Question The input x(t) and the output y(t) of a continuous time system are related as
$$y\left( t \right) = \int\limits_{t - T}

View Question The transfer function of a causal LTI system is H(s) = 1/s. If the input to the system is x(t) = $$\left[ {\sin (t)/\pi

View Question Consider the parallel combination of two LTI systems shown in the figure.
The impulse responses of the systems are
$

View Question Consider an LTI system with magnitude response $$$\left| {H(f)} \right| = \left\{ {\matrix{
{1 - \,{{\left| f \right|

View Question An LTI system with unit sample response
$$h\left( n \right) = 5\delta \left[ n \right] - 7\delta \left[ {n - 1} \right]

View Question The signal x(t) = $$\sin \,(14000\,\pi t)$$, where t is in seconds, is sampled at a rate of 9000 samples per second. The

View Question ## General Aptitude

A rule states that in order to drink beer one must be over 18 years old. In a bar, there are 4
people. P is 16 years old

View Question 500 students are taking one or more courses out of Chemistry, Physics, and Mathematics.
Registration records indicate co

View Question Fatima starts from point P, goes North for 3 km, and then East for 4 km to reach point Q. She
then turns to face point P

View Question It is ____ to read this year’s textbook _____ the last year’s.

View Question The ninth and the tenth of this month are Monday and Tuesday _______.

View Question Each of P, Q, R, S, W, X, Y and Z has been married at most once. X and Y married and have two children
P and Q, Z is gra

View Question The number of 3 digit numbers such that the digit 1 is never to the immediate right of 2 is

View Question 1200 men and 500 women can build a bridge in 2 weeks. 900 men and 250 women will take 3 weeks to
build the same bridge.

View Question “If you are looking for a history of India, or for an account of the rise and fall of the British Raj, or for the
reason

View Question A contour line joins locations having the same height above the mean sea level. The following is a contour
plot of a geo

View Question