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Electronics And Communication - ECE 2013 GATE Paper (Practice Test) - Electronics and Communication Engineering (ECE) MCQ


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65 Questions MCQ Test GATE ECE (Electronics) Mock Test Series 2025 - Electronics And Communication - ECE 2013 GATE Paper (Practice Test)

Electronics And Communication - ECE 2013 GATE Paper (Practice Test) for Electronics and Communication Engineering (ECE) 2024 is part of GATE ECE (Electronics) Mock Test Series 2025 preparation. The Electronics And Communication - ECE 2013 GATE Paper (Practice Test) questions and answers have been prepared according to the Electronics and Communication Engineering (ECE) exam syllabus.The Electronics And Communication - ECE 2013 GATE Paper (Practice Test) MCQs are made for Electronics and Communication Engineering (ECE) 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Electronics And Communication - ECE 2013 GATE Paper (Practice Test) below.
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Electronics And Communication - ECE 2013 GATE Paper (Practice Test) - Question 1

Q. No. 1 – 5 Carry One Mark Each

Q. Choose the grammatically CORRECT sentence:

Electronics And Communication - ECE 2013 GATE Paper (Practice Test) - Question 2

Statement: You can always give me a ring whenever you need.
Which one of the following is the best inference from the above statement?

Electronics And Communication - ECE 2013 GATE Paper (Practice Test) - Question 3

In the summer of 2012, in New Delhi, the mean temperature of Monday to
Wednesday was 41ºC and of Tuesday to Thursday was 43ºC. If the temperature
on Thursday was 15% higher than that of Monday, then the temperature in ºC on
Thursday was

Detailed Solution for Electronics And Communication - ECE 2013 GATE Paper (Practice Test) - Question 3

Let the temperature of Monday be TM
Sum of temperatures of Tuesday and Wednesday = T and
Temperature of Thursday =TTh
Now, Tm +T = 41x 3 =123
& Tth+ T= 43x 3= 129
Tth -Tm= 6, Also Tth= 1.15Tm
0.15Tm= 6 Tm =40
Temperature of thursday= 40+ 6= 46o C

Electronics And Communication - ECE 2013 GATE Paper (Practice Test) - Question 4

Complete the sentence:
Dare ____________ mistakes.

Electronics And Communication - ECE 2013 GATE Paper (Practice Test) - Question 5

They were requested not to quarrel with others.
Which one of the following options is the closest in meaning to the word quarrel?

Electronics And Communication - ECE 2013 GATE Paper (Practice Test) - Question 6

Q. No. 6 – 10 Carry Two Marks Each

Q.

A car travels 8 km in the first quarter of an hour, 6 km in the second quarter and 16km in the third quarter. The average speed of the car in km per hour over the entire journey is

Detailed Solution for Electronics And Communication - ECE 2013 GATE Paper (Practice Test) - Question 6

Average speed = Total distance/Total Time

 

Electronics And Communication - ECE 2013 GATE Paper (Practice Test) - Question 7

Find the sum to n terms of the series 10 + 84 + 734 + …

Detailed Solution for Electronics And Communication - ECE 2013 GATE Paper (Practice Test) - Question 7

Explanations:-Using the answer options, substitute n = 2. The sum should add up to 94
Alternative Solution:
The given series is 10+84+734+………………………..+n terms

Electronics And Communication - ECE 2013 GATE Paper (Practice Test) - Question 8

Statement: There were different streams of freedom movements in colonial India
carried out by the moderates, liberals, radicals, socialists, and so on.
Which one of the following is the best inference from the above statement?

Electronics And Communication - ECE 2013 GATE Paper (Practice Test) - Question 9

The set of values of p for which the roots of the equation  3x2 + 2x + p( p − 1) = 0
are of opposite sign is

Detailed Solution for Electronics And Communication - ECE 2013 GATE Paper (Practice Test) - Question 9

Electronics And Communication - ECE 2013 GATE Paper (Practice Test) - Question 10

What is the chance that a leap year, selected at random, will contain 53
Sundays?

Detailed Solution for Electronics And Communication - ECE 2013 GATE Paper (Practice Test) - Question 10

There are 52 complete weeks in a calendar year  852 × 7 =364days
Number of days in a leap year = 366

Probability of 53 Saturdays 2/7

Electronics And Communication - ECE 2013 GATE Paper (Practice Test) - Question 11

Q. No. 11 – 35 Carry One Mark Each

Q.

A bulb in a staircase has two switches, one switch being at the ground floor and the other one at the first floor. The bulb can be turned ON and also can be turned OFF by any one of the switches irrespective of the state of the other switch. The logic of switching of the bulb resembles

Detailed Solution for Electronics And Communication - ECE 2013 GATE Paper (Practice Test) - Question 11

From Truth Table, it can be verified that Ex-OR logic is implemented

Electronics And Communication - ECE 2013 GATE Paper (Practice Test) - Question 12

Consider a vector field  The closed loop line integral  
can be expressed as

 

Detailed Solution for Electronics And Communication - ECE 2013 GATE Paper (Practice Test) - Question 12

Stoke’s Theorem: “ The Line Integral of a vector around a closed path L is
equal to the integral of curl of over the open surface S enclosed by the closed
path L”.

Electronics And Communication - ECE 2013 GATE Paper (Practice Test) - Question 13

Two systems with impulse responses  h1(t) and h2(t) are connected in cascade.
Then the overall impulse response of the cascaded system is given by

Detailed Solution for Electronics And Communication - ECE 2013 GATE Paper (Practice Test) - Question 13

Electronics And Communication - ECE 2013 GATE Paper (Practice Test) - Question 14

In a forward biased pn junction diode, the sequence of events that best describes
the mechanism of current flow is

Electronics And Communication - ECE 2013 GATE Paper (Practice Test) - Question 15

In IC technology, dry oxidation (using dry oxygen) as compared to wet oxidation
(using steam or water vapor) produces

Electronics And Communication - ECE 2013 GATE Paper (Practice Test) - Question 16

The maximum value of q until which the approximation sinθ ≈ θ holds to within 10%
error is

Detailed Solution for Electronics And Communication - ECE 2013 GATE Paper (Practice Test) - Question 16

Out of all possible options we need to go for max theta below 45° Hence it is
18°

Electronics And Communication - ECE 2013 GATE Paper (Practice Test) - Question 17

The divergence of the vector field 

Detailed Solution for Electronics And Communication - ECE 2013 GATE Paper (Practice Test) - Question 17

Electronics And Communication - ECE 2013 GATE Paper (Practice Test) - Question 18

The impulse response of a system is h(t) = tu(t). For an input u(t − 1) , the output is

Detailed Solution for Electronics And Communication - ECE 2013 GATE Paper (Practice Test) - Question 18

For LTI system, if input gets delayed by one unit, output will also get delayed by
one unit.

Electronics And Communication - ECE 2013 GATE Paper (Practice Test) - Question 19

The Bode plot of a transfer function G (s) is shown in the figure below

The gain (20 log |G(s)| ) is 32 dB and –8 dB at 1 rad/s and 10 rad/s respectively.
The phase is negative for all ω. The G(s) is

Detailed Solution for Electronics And Communication - ECE 2013 GATE Paper (Practice Test) - Question 19

Any two paints on same line segment of Bode plot satisfies the equation of
straight line.

Electronics And Communication - ECE 2013 GATE Paper (Practice Test) - Question 20

In the circuit shown below what is the output voltage ( ) out V if a silicon transistor
Q and an ideal op-amp are used?

Detailed Solution for Electronics And Communication - ECE 2013 GATE Paper (Practice Test) - Question 20

Electronics And Communication - ECE 2013 GATE Paper (Practice Test) - Question 21

Consider a delta connection of resistors and its equivalent star connection as shown below. If all elements of the delta connection are scaled by a factor k, k> 0, the elements of the corresponding star equivalent will be scaled by a factor of

Detailed Solution for Electronics And Communication - ECE 2013 GATE Paper (Practice Test) - Question 21

Above expression shown that if Ra , Rb & Rc is scaled by k, Ra , Rb & Rc is scaled
by k only.

Electronics And Communication - ECE 2013 GATE Paper (Practice Test) - Question 22

For 8085 microprocessor, the following program is executed
MVI A, 05H;
MVIB, 05H;
PTR: ADD B;
DCR B;
JNZ PTR;
ADI 03H;
HLT;
At the end of program, accumulator contains

Detailed Solution for Electronics And Communication - ECE 2013 GATE Paper (Practice Test) - Question 22

Accumulator changes as follows (05 + 05 + 04 +03 +02 +01)H
At the end of Loop accumulator contains = 14H
ADI O3H →A=(14+03)=17H

Electronics And Communication - ECE 2013 GATE Paper (Practice Test) - Question 23

The bit rate of a digital communication system is R kbits/s. The modulation used is
32-QAM. The minimum bandwidth required for ISI free transmission is

Detailed Solution for Electronics And Communication - ECE 2013 GATE Paper (Practice Test) - Question 23

Bit rate given = R Kbits/second
Modulation = 32-QAM
No. of bits/symbol = 2 5 [log 32]
Symbol rate =R/5 k symbols / sec ond

Finally we are transmitting symbols.

Electronics And Communication - ECE 2013 GATE Paper (Practice Test) - Question 24

For a periodic signal v (t) = 30sin100t + 10cos300t + 6 sin(500t + π / 4) , the
fundamental frequency in rad/s

Detailed Solution for Electronics And Communication - ECE 2013 GATE Paper (Practice Test) - Question 24

ωo =100 rad / sec fundamental

o = 300 rad / sec third harmonic

o = 500 rad / sec fifth harmonic

Electronics And Communication - ECE 2013 GATE Paper (Practice Test) - Question 25

In a voltage-voltage feedback as shown below, which one of the following
statements is TRUE if the gain k is increased?

Detailed Solution for Electronics And Communication - ECE 2013 GATE Paper (Practice Test) - Question 25

In voltage-voltage feedback

Electronics And Communication - ECE 2013 GATE Paper (Practice Test) - Question 26

A band-limited signal with a maximum frequency of 5 kHz is to be sampled.
According to the sampling theorem, the sampling frequency which is not valid is

Detailed Solution for Electronics And Communication - ECE 2013 GATE Paper (Practice Test) - Question 26

Given: fm = 5kHz
According to sampling frequency

fs2f
fs10 kHz

So, only in option (a) it is less than 10KHz ie., (5KHz)

 

Electronics And Communication - ECE 2013 GATE Paper (Practice Test) - Question 27

In a MOSFET operating in the saturation region, the channel length modulation
effect causes

Detailed Solution for Electronics And Communication - ECE 2013 GATE Paper (Practice Test) - Question 27

No channel length modulation

under the presence of channel length modulation

 which is reduced from ∞ to finite value

Electronics And Communication - ECE 2013 GATE Paper (Practice Test) - Question 28

Which one of the following statements is NOT TRUE for a continuous time causal
and stable LTI system?

Detailed Solution for Electronics And Communication - ECE 2013 GATE Paper (Practice Test) - Question 28

For an LTI system to be stable and causal all poles or roots of characteristic
equation must lie on LHS of s-plane i.e., left hand side of jω− axis
[Refer Laplace transform].

Electronics And Communication - ECE 2013 GATE Paper (Practice Test) - Question 29

The minimum Eigen value of the following matrix is

Detailed Solution for Electronics And Communication - ECE 2013 GATE Paper (Practice Test) - Question 29

So the matrix is singular
Therefore atleast one of the Eigen value is ‘0’
As the choices are non negative, the minimum Eigen value is ‘0’

Electronics And Communication - ECE 2013 GATE Paper (Practice Test) - Question 30

A polynomial  f( x) = a4 x4 + a3 x3 + a2 x2 + a1 x − a0 with all coefficients positive has

Detailed Solution for Electronics And Communication - ECE 2013 GATE Paper (Practice Test) - Question 30

Use Routh Hurwitz Criteria to get the condition.

Electronics And Communication - ECE 2013 GATE Paper (Practice Test) - Question 31

Assuming zero initial condition, the response y(t) of the system given below to a
unit step input u(t) is

Detailed Solution for Electronics And Communication - ECE 2013 GATE Paper (Practice Test) - Question 31

Integration of unit step function is ramp output

Writing in time domain

Electronics And Communication - ECE 2013 GATE Paper (Practice Test) - Question 32

The transfer function V2(s) / V1(s) of the circuit shown below is

Detailed Solution for Electronics And Communication - ECE 2013 GATE Paper (Practice Test) - Question 32

Electronics And Communication - ECE 2013 GATE Paper (Practice Test) - Question 33

A source Vs (t) = V cos100πt has an internal impedance of (4 + j3)? . If a purely
resistive load connected to this source has to extract the maximum power out of the
source, its value in ? should be

Detailed Solution for Electronics And Communication - ECE 2013 GATE Paper (Practice Test) - Question 33

For maximum power Transfer

Electronics And Communication - ECE 2013 GATE Paper (Practice Test) - Question 34

The return loss of a device is found to be 20 dB. The voltage standing wave ratio
(VSWR) and magnitude of reflection coefficient are respectively

Detailed Solution for Electronics And Communication - ECE 2013 GATE Paper (Practice Test) - Question 34

Electronics And Communication - ECE 2013 GATE Paper (Practice Test) - Question 35

Let , and h(t) is a filter matched to g(t). If g(t) is applied as input to h(t),
then the Fourier transform of the output is

Detailed Solution for Electronics And Communication - ECE 2013 GATE Paper (Practice Test) - Question 35

The concept of matched filter assumes that the input signal is of the same form
g(t) as the transmitted signal(except difference in amplitude).this requires that the
shape of the transmitted signal not change on reflection.

Electronics And Communication - ECE 2013 GATE Paper (Practice Test) - Question 36

Q. No. 36 – 65 Carry Two Marks Each

Q

Let U and V be two independent zero mean Gaussian random variables of variances1/4 and 1/9 respectively,. The probability P (3V 2U) is

Detailed Solution for Electronics And Communication - ECE 2013 GATE Paper (Practice Test) - Question 36

Electronics And Communication - ECE 2013 GATE Paper (Practice Test) - Question 37

Let A be an m x n matrix and B an n x m matrix. It is given that determinant
 ( Im + AB) = determinant (In + BA) , where Ik is the k × k identity matrix. Using the
above property, the determinant of the matrix given below is

Detailed Solution for Electronics And Communication - ECE 2013 GATE Paper (Practice Test) - Question 37

Electronics And Communication - ECE 2013 GATE Paper (Practice Test) - Question 38

In the circuit shown below, if the source voltage Vs =10053.13o V then the
Thevenin’s equivalent voltage in Volts as seen by the load resistance  RL is

Detailed Solution for Electronics And Communication - ECE 2013 GATE Paper (Practice Test) - Question 38

Electronics And Communication - ECE 2013 GATE Paper (Practice Test) - Question 39

The open-loop transfer function of a dc motor is given as when
connected in feedback as shown below, the approximate value of a K that will reduce the time constant of the closed loop system by one hundred times as compared to that of the open-loop system is

Detailed Solution for Electronics And Communication - ECE 2013 GATE Paper (Practice Test) - Question 39

Electronics And Communication - ECE 2013 GATE Paper (Practice Test) - Question 40

In the circuit shown below, the knee current of the ideal Zener diode is 10mA. To
maintain 5V across RL , the minimum value of  RL in ? and the minimum power
rating of the Zener diode in mW, respectively, are

Detailed Solution for Electronics And Communication - ECE 2013 GATE Paper (Practice Test) - Question 40

Minimum power rating of Zener should = 50 mA x 5V
= 250 mW

Electronics And Communication - ECE 2013 GATE Paper (Practice Test) - Question 41

The following arrangement consists of an ideal transformer and an attenuator which attenuates by a factor of 0.8 An ac voltage Vwx1 = 100V is applied across WX to get an open circuit voltage VYZ1 across YZ. Next, an ac voltage VYZ2 =100V is applied across YZ to get an open circuit voltage VWX2 across WX.
Then, VYZ1 / VWX1 , VWX2 / VYZ2 are respectively.

 

Detailed Solution for Electronics And Communication - ECE 2013 GATE Paper (Practice Test) - Question 41

The potentiometer gives an attenuation factor of 0.8 over v2

Since potentiometer and transformer are bilateral elements. Hence 

Electronics And Communication - ECE 2013 GATE Paper (Practice Test) - Question 42

Two magnetically uncoupled inductive coils have Q factors q1 and q2 at the chosen operating frequency. Their respective resistances are R1 and R2. When connected in series, their effective Q factor at the same operating frequency is

Detailed Solution for Electronics And Communication - ECE 2013 GATE Paper (Practice Test) - Question 42

When such two coils are connected in series individual inductances and
resistances are added.

Electronics And Communication - ECE 2013 GATE Paper (Practice Test) - Question 43

The impulse response of a continuous time system is given by
h(t) = δ (t − 1) + δ (t − 3) . The value of the step response at t = 2 is

Detailed Solution for Electronics And Communication - ECE 2013 GATE Paper (Practice Test) - Question 43

h(t) =δd (t − 1) + δ (t −)

y(t) =u(t-1)+u(t-3)

y(2)=u(1)+u(-1) =1

Electronics And Communication - ECE 2013 GATE Paper (Practice Test) - Question 44

The small-signal resistance (  i.e dVB/dID) in k? offered by the n-channel MOSFET M shown in the figure below, at a bias point of VB = 2 V is (device data for M: device Transconductance parameter  kN = μ Cox (W / L0 = 40μA / Vthreshold voltage VTN = 1V, and neglect body effect and channel length
modulation effects)

 

Detailed Solution for Electronics And Communication - ECE 2013 GATE Paper (Practice Test) - Question 44

Electronics And Communication - ECE 2013 GATE Paper (Practice Test) - Question 45

The ac schematic of an NMOS common-source stage is shown in the figure below, where part of the biasing circuits has been omitted for simplicity. For the nchannel MOSFET M, the Transconductance gm = 1mA / V, and body effect and channel length modulation effect are to be neglected. The lower cutoff frequency
in Hz of the circuit is approximately at

 

Detailed Solution for Electronics And Communication - ECE 2013 GATE Paper (Practice Test) - Question 45

Electronics And Communication - ECE 2013 GATE Paper (Practice Test) - Question 46

A system is described by the differential equation 

Let x(t) be a rectangular pulse given by

Assuming that y(0)=0 and dy/dt =0 at t = 0, the Laplace transform of y(t) is

Detailed Solution for Electronics And Communication - ECE 2013 GATE Paper (Practice Test) - Question 46

Electronics And Communication - ECE 2013 GATE Paper (Practice Test) - Question 47

A system described by a linear, constant coefficient, ordinary, first order differential equation has an exact solution given by y(t) for t>0, when the forcing function is x(t) and the initial condition is y(0). If one wishes to modify the system so that the solution becomes -2y(t) for t>0, we need to

Detailed Solution for Electronics And Communication - ECE 2013 GATE Paper (Practice Test) - Question 47

So if we want −2y (t) as a solution both x(t) and y(0) has to be doubled and
multiplied by –ve sign

x(t) → -2x(t)

y(0) → -2x(0)

Electronics And Communication - ECE 2013 GATE Paper (Practice Test) - Question 48

Consider two identically distributed zero-mean random variables U and V. Let the
cumulative distribution functions of U and 2V be F(x) and G(x) respectively.
Then, for all values of x

Detailed Solution for Electronics And Communication - ECE 2013 GATE Paper (Practice Test) - Question 48

F (x) = P{X x}
G (x) = P {2X x}
=P{ X x/2}

For positive value of x,
F (x) − G(x) is always greater than zero
For negative value of x.
F (x) − G(x) is − ve
but . F (x) − G(x) . x 0

Electronics And Communication - ECE 2013 GATE Paper (Practice Test) - Question 49

The DFT of vector  [ a b c d]  is the vector[ α β γ δ]  . Consider the product

The DFT of the vector [ p q r s] is a scaled version of

Detailed Solution for Electronics And Communication - ECE 2013 GATE Paper (Practice Test) - Question 49

Electronics And Communication - ECE 2013 GATE Paper (Practice Test) - Question 50

The signal flow graph for a system is given below. The transfer function Y(s)/U(s) for this system is

Detailed Solution for Electronics And Communication - ECE 2013 GATE Paper (Practice Test) - Question 50

Electronics And Communication - ECE 2013 GATE Paper (Practice Test) - Question 51

In the circuit shown below the op-amps are ideal. The Vout in Volts is

Detailed Solution for Electronics And Communication - ECE 2013 GATE Paper (Practice Test) - Question 51

V1 = 1(1+ 1)- 2(-1) =4V
Vout  =2V1= 8V

Electronics And Communication - ECE 2013 GATE Paper (Practice Test) - Question 52

In the circuit shown below,  Q1 has negligible collector-to-emitter saturation
voltage and the diode drops negligible voltage across it under forward bias. If
Vcc is + 5V,X and Y are digital signals with 0 V as logic 0 and VCC as logic 1,
then the Boolean expression for Z is

Detailed Solution for Electronics And Communication - ECE 2013 GATE Paper (Practice Test) - Question 52

Electronics And Communication - ECE 2013 GATE Paper (Practice Test) - Question 53

A voltage 1000sin ωt Volts is applied across YZ. Assuming ideal diodes, the
voltage measured across WX in Volts, is

Detailed Solution for Electronics And Communication - ECE 2013 GATE Paper (Practice Test) - Question 53

Electronics And Communication - ECE 2013 GATE Paper (Practice Test) - Question 54

Three capacitors  C1 ,C2 and C3 whose values are 10μF, 5μF, and 2μF respectively, have breakdown voltages of 10V, 5V, and 2V respectively. For the interconnection shown below, the maximum safe voltage in Volts that can be applied across the combination, and the corresponding total charge in μC stored in the effective capacitance across the terminals are respectively.

Detailed Solution for Electronics And Communication - ECE 2013 GATE Paper (Practice Test) - Question 54

From (3), V 10 Volts
To operate Circuit safe, V should be minimum of those =2.8V

Electronics And Communication - ECE 2013 GATE Paper (Practice Test) - Question 55

There are four chips each of 1024 bytes connected to a 16 bit address bus as
shown in the figure below. RAMs 1,2,3 and 4 respectively are mapped to
addresses

Detailed Solution for Electronics And Communication - ECE 2013 GATE Paper (Practice Test) - Question 55

Electronics And Communication - ECE 2013 GATE Paper (Practice Test) - Question 56

In the circuit shown below, the silicon npn transistor Q has a very high value of
b . The required value of R2 in k? to produce IC = 1mA is

Detailed Solution for Electronics And Communication - ECE 2013 GATE Paper (Practice Test) - Question 56

Electronics And Communication - ECE 2013 GATE Paper (Practice Test) - Question 57

Let U and V be two independent and identically distributed random variables such
that P(U= 1+) = P(U= -1)=1/2 The entropy H(U + V) in bits is

Detailed Solution for Electronics And Communication - ECE 2013 GATE Paper (Practice Test) - Question 57

Electronics And Communication - ECE 2013 GATE Paper (Practice Test) - Question 58

Bits 1 and 0 are transmitted with equal probability. At the receiver, the pdf of the
respective received signals for both bits are as shown below.

Q.

If the detection threshold is 1, the BER will be

Detailed Solution for Electronics And Communication - ECE 2013 GATE Paper (Practice Test) - Question 58

Electronics And Communication - ECE 2013 GATE Paper (Practice Test) - Question 59

Bits 1 and 0 are transmitted with equal probability. At the receiver, the pdf of the
respective received signals for both bits are as shown below.

Q.

The optimum threshold to achieve minimum bit error rate (BER) is

Detailed Solution for Electronics And Communication - ECE 2013 GATE Paper (Practice Test) - Question 59

Optimum threshold = The point of intersection of two pdf’s

Electronics And Communication - ECE 2013 GATE Paper (Practice Test) - Question 60

Consider the following figure

The current IS in Amps in the voltage source, and voltage VS in Volts across the
current source respectively, are

Detailed Solution for Electronics And Communication - ECE 2013 GATE Paper (Practice Test) - Question 60

Is+8+5 =0

Is =13A

Electronics And Communication - ECE 2013 GATE Paper (Practice Test) - Question 61

Consider the following figure

Q.

The current in the 1? resistor in Amps is

Detailed Solution for Electronics And Communication - ECE 2013 GATE Paper (Practice Test) - Question 61

I ? 10A = we can use principle of superposition to determine the current across 1 ohm resistance.

Electronics And Communication - ECE 2013 GATE Paper (Practice Test) - Question 62

A monochromatic plane wave of wavelength λ = 600μm is propagating in the direction as shown in the figure below.  denote incident, reflected, and transmitted electric field vectors associated with the wave.

The angle of incidence θ1 and the expression for  are

Detailed Solution for Electronics And Communication - ECE 2013 GATE Paper (Practice Test) - Question 62

The given oblique incidence is an vertical polarization ie., is parallel to the
plane of incidence, is perpendicular to the plane of incident

Electronics And Communication - ECE 2013 GATE Paper (Practice Test) - Question 63

A monochromatic plane wave of wavelength l = 600μm is propagating in the  direction as shown in the figure below.  denote incident, reflected, and transmitted electric field vectors associated with the wave.

Q.

The expression for  is

 

 

Detailed Solution for Electronics And Communication - ECE 2013 GATE Paper (Practice Test) - Question 63

The reflection co-efficient for parallel polarization is given by

But  θr = θsince reflected ray and incident ray lies in the same medium by using
snell’s law

Electronics And Communication - ECE 2013 GATE Paper (Practice Test) - Question 64

The state diagram of a system is shown below. A system is described by the state-variable equations

Q. The state-variable equations of the system shown in the figure above are

Detailed Solution for Electronics And Communication - ECE 2013 GATE Paper (Practice Test) - Question 64

Electronics And Communication - ECE 2013 GATE Paper (Practice Test) - Question 65

The state diagram of a system is shown below. A system is described by the
state-variable equations

Q.

The state transition matrix eAt of the system shown in the figure above is

Detailed Solution for Electronics And Communication - ECE 2013 GATE Paper (Practice Test) - Question 65

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