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

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

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

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

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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

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

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

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

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

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

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

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

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Which of the following statement is incorrect?

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

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

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

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

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

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In a DRAM,

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

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

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

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

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

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

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

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

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

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

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

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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

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

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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

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

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

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

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

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

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

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

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

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

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

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

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

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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

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

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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}

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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

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

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

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

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

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## 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

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

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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

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

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

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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

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

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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.

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“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

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

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