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EC: Electronics & Communication Engineering

Duration: Three Hours Maximum Marks: 100

Read the Instructions carefully.

1. This question paper contains 16 pages.

2. All Questions in this Paper are Objective type.

3. There are a total of 65 questions carrying 100 marks.

4. Questions 1 – 25 will carry 1-mark each, questions 26 – 55 carry 2-marks

each.

5. Questions 48 – 51 (2 pairs) are common data questions and question pairs

(52 – 53) and (54 – 55) are linked answer questions. The answer to the

second questions of the linked answer question depends on the answer to

the first question of the pair. If the first question is wrongly answered or is

un-attempted, then the answer to the second question will not be

evaluated.

6. Questions 56 – 65 belong to general aptitude (GA). Questions 56 – 60 will

carry 1-mark each, and questions 61 – 65 will carry 2-marks each. The GA

questions will begin on a fresh page starting from page 15.

7. Un-attempted questions will carry zero marks.

8. Wrong answers will carry NEGATIVE marks. For Questions 1 – 25 and

Questions 56 – 60, 1/3 mark will be deducted for each wrong answer. For

Questions 26 – 51 and Questions 61 – 65, 2/3 mark will be deducted for

each wrong answer.

9. The questions pairs (52 – 53) and (54 – 55) are questions with linked

answers. There will be negative marks only for wrong answers to the first

question of the linked answer question pair i.e. for Question 52 and 54, 2/3

will be deducted for wrong answer. There is no negative marking for

Question 53 and 55.



Questions 1-25 carry 1 Mark each.

1. Determine the poles of the function

(A)

(B) 0, -2,

(C)

(D) 0

2. is an orthogonal matrix

1. is also an orthogonal matrix

2. is also an orthogonal matrix

3. Neither nor are orthogonal

4.

5.

Which of the above statements is/are true?

(A) Only 1

(B) Only 2

(C) 1 , 2 , 4 and 5

(D) All of the above

3. Which of the following is true about given ODE

The ordinary differential equation(ODE)

(A) Is of the first order and first degree

(B) Is of the second order but of second degree

(C) Is of first order but of second degree

(D) Is of second order and of second degree

4. General formula for Newton Raphson method is

(A)

(B)

(C)

(D) A and C both

5. If emitter injection efficiency of a BJT is 0.98 and its common base dc current gain is

0.96, then the base transport factor is

(A) 0.96 (B) 0.94 (C) 1.02 (D) 0.98



6. The unity gain frequency for a MOSFET

(A) increase with increase in channel length

(B) increase with increase in transistor width

(C) increase with decrease in channel length

(D) stays constant for all channel length

7. Two signals and having Fourier Transforms and shown in

figure are combined to form .

The minimum sampling frequency for the signal is:

(A) 60 kHz (B) 120 kHz (C) 240 kHz (D) 30 kHz

8. If X and Y are the zero-mean independent Gaussian random variables with common

variance, then the pdf of the phase of Z = X + iY will be:

(A) Gaussian (B) Rayleigh (C) Uniform (D) Nakagami

9. Let an angle-modulated signal be given by

. Considering is a FM signal with frequency deviation = , find

(A)

(B)

(C)

(D)

10. An 8 bit DAC gives an output voltage of when input code is 00110010, then the

output of DAC when input code is 01011001 will be

(A)

(B)

(C)

(D) None of these

11. Consider the following statements,

a. High threshold logic(HTL) is designed from Diode transfer Logic(DTL) gate

with use of one Zener diode.

b. Direct coupled transistor logic(DCTL) exhibits current hogging phenomena

c. Problem of variable load is overcome by the totem pole arrangement.

Then correct statements are

(A) All (B) a and b (C) a and c (D) b and c

f(kHz)

5

1

f(kHz)



12. What is the addressing mode of XTHL instruction?

(A) Implicit

(B) Register direct

(C) Register indirect

(D) Memory direct

13. For a Si p-n junction diode the static resistance in terms of diode voltage and

current is

(A)

(B)

(C)

(D) None of these

14. Which of the following amplifier suffers from crossover distortion

(A) Class A (B) Class B (C) Both (A) & (B) (D) None of these

15. The wavelength of the wave propagating in the a waveguide is

(A) Smaller than the free space wavelength

(B) Greater than the free space wavelength

(C) Directly proportional to the group velocity

(D) Inversely proportional to the phase velocity

16. Which of these is Poisson’s equation for the linear isotropic, but inhomogeneous

medium

(A)

(B)

(C)

(D)

17. Image theory is applicable to problem involving

(A) Electrostatic field only

(B) Magnetostatic field only

(C) Both Electrostatic field and magnetostatic field

(D) Neither Electrostatic field nor magnetostatic field

18. Consider the following statements, with reference to Fourier transform

I. Periodic in the one domain results in discrete in the other domain (Here

domain refer to time or frequency)

II. Aperiodic in one domain results in continuous in the other domain and vice-

versa.

(A) I & II are wrong

(B) I & II are correct

(C) I is wrong, II is correct

(D) I is correct, II is wrong



19. Find the IFT of

(A) 2

jt (B)

1

j t

(C)

1

j t (D)

1

2j t

20. Match the following.

I. Wave II. Dimension

i. Speech a. One dimensional

ii. Image b. Two dimensional

iii. T.V. Picture c. Three dimensional

iv. Temperature d. Four dimensional

(A) i – a, ii – b, iii – c, iv – d

(B) i – b, ii – c, iii – d, iv – a

(C) i – b, ii – d, iii – a, iv – c

(D)i – a, ii – c, iii – b, iv – d

21. The Nyquist plot of the open loop transfer function(OLTF) is

shown in figure,

The range of the for the system stability is

(A) (B) (C) (D) None

22. For a stable system, gain margin and phase margin should be

(A) Positive and negative respectively

(B) Negative and positive respectively

(C) Both positive

(D) Both negative



23. The block diagram for a particular control system is shown in the figure,

(A) Low pass system

(B) All pass system

(C) Minimum phase system

(D) High pass system

24. When an AC source of emf is connected across a circuit, the phase

difference across the and in the circuit is . The correct combination of the

circuit element is

(A)

(B)

(C)

(D)

25. In the circuit shown, the network N1 and N2 contains DC sources and resistances.

The voltage across 5Ω resistor is given by

(A) 5 V

(B) 10 V

(C) 35 V

(D) Cannot be determined



Questions 26-55 carry 2 Marks each.

26. We have

What is the nature of solution of this system of equations?

(A) Consistent and unique solution

(B) Inconsistent

(C) Infinite Solution

(D) A and C

27. A Water treatment plant dispatched water bottles for consumption of individuals in

a city. Later it was found that water was infected. If the probability of harming

(infection) is 0.001, determine the chance that out of 2,000 individuals more than

two will get a infection.

(A) 0.34 (B) 0.44 (C) 0.32 (D) 0.42

28. Find the complete solution of

(A)

(B)

(C)

(D)

29. Consider the statements below:

I. BJT is a current controlled device while FET is a voltage controlled device.

II. Both BJT and FET have current due to both types of charge carriers.

(A) I is true, II is false

(B) I is false, II is true

(C) Both I&II are true

(D) Both I&II are false



30. Two constellations are shown below:

Which of these are correct?

I. Maximum Probability of error of (i) is greater than (ii)

II. Maximum Probability of error of (ii) is greater than (i)

III. Maximum Probability of error of (i) and (ii) is equal.

IV. Average energy of (i) is greater than (ii)

V. Average energy of (ii) is greater than (i)

VI. Average energy of (i) and (ii) is equal.

(A) III and VI (B) I and VI (C) III and V (D) II and V

31. Let a discrete memoryless source with source alphabet ={ with the

probabilities given by = 0.25, = 0.25 and = 0.5. Then the entropy of the

extended source with source alphabet where n=2 will be

(A) 3/2 (B) 3 (C) 9/2 (D) 6

32. Asynchronous counter shown in figure below is

(A) Mod-21 (B) Mod-22 (C) Mod-20 (D) Mod-19

1

)

)



33. 1010, 111010, 11010 represent the 2’s complement representation of which set of

numbers?

(A) 10, 58, 26 respectively

(B) -6, -6, -6 respectively

(C) -7, -7, -7 respectively

(D) -10,-58, -26 respectively

34. The logic circuit used to generate active low chip select by 8085 µP is shown below.

The corresponding range of address is ……. Given that the logic circuit is designed to

select 4KB of memory chip, and A12 Pin is in floating state.

(A) 0600 H – 06FF H

(B) 0700 H – 07FF H

(C) Either (a) or (b)

(D) None

35.

In above diagram, is assumed to be very large & finite. The value of and such

that

(A)

(B)

(C)

(D)



36.

Transistors Q1 and Q2 are matched transistors with VBE(ON)=0.7 V. The load needs

a variable current which can range from 0.3 mA to 4mA such that Q2 is always in

active region .The value of should lie in the region,

(A)2.1 to 10k (B)4.5 to 25k (C)2.3 to 31k (D)8.1 to 11k

37. In the given figure, the low frequency model parameters are and .The angular

frequency due to capacitor is given by

(A) (B) (C) (D)

38. In order to a have high CMRR in a differential pair amplifier, which must hold true:

I. An ideal current source with infinite resistance should be used to bias the

transistors.

II. There should be no mismatch between the two transistors.

(A) I only (B) II only (C) both I &II (D) None

39. In a twin wire transmission line in air, the adjacent voltage maxima are 12.5cm and

27.5 cm. The operating frequency is

(A) 200 MHz (B) 1 GHz (C) 2 GHz (D) 6 GHz



40. A Uniform plane wave travelling in air is incident on the plane boundary between air

and another dielectric medium with . The reflection coefficient for the normal

incidence is

(A) 0 (B) (C) 0.333 (D) 0.333

41. Find the value of the integral

(A) (B) (C) (D) 1

42. Consider the following figures:

If then find and

(A) 1, 8 (B) 1, 1/8 (C) 1/8, 1 (D) 8, 1/8

43. Find the as n Given

(A) 0

(B)

(C)

(D) Final Value theorem is not applicable here

44. Consider the RLC circuit shown in figure for step input , The overshoot equals

(A) 16.1%

(B) 16.2%

(C) 16.3%

(D) 0, since the system is not under

damped.



45. Find the current through each source , Given conditions are,

1. When only are acting,

2. When and are acting,

3. When and

4. When only

A

(A)

(B)

(C)

(D) 4, -2, 2, 1

46. When the circuit in figure 1 is excited, the voltage across is 4 V. When the same

circuit is in figure 2 is excited, the voltage across is . When the circuit in figure

3 is excited, the voltage across will be:

(A)

(B)

(C)

(D)

Fig 1

Fig 3

Fig 2



47. A certain circuit has source and current through Z is If the

strength of each source as well as the load impedance is doubled, then current

through the 2ZΩ load will be,

(A)

(B)

(C)

(D) Not possible to determine

Common Data Questions:

Common Data Questions 48 and 49:

48. Consider a BJT with doping in emitter, base and collector as

and respectively. What value of must be applied in

base emitter region, so that excess minority carries in base region is 10% of the

emitter doping

(A) 0.82V (B) 0.71V (C) 0.76V (D) 0.69V

49. If in previous question, the length of depletion region inside base at base-emitter

junction and base collector region are 5μm and 10μm respectively and total base

width is 50μm. Find new doping level of collector to cause a punch through,

assuming width of depletion region in collector region remains constant

(A)

(B)

(C)

(D)

Common Data Questions 50 and 51:

A unity feedback system is shown in figure (a) and the root locus of its characteristic

equation is shown in figure (b)

fig.(a)

fig.(b)



50. If P(-6,0) is a point on the root – locus, the variable parameter of the system at P is

(A) 10/3 (B) 20/3 (C) 6 (D) 20

51. For a UFB system shown in fig.(a) & fig.(b) of Q.50 if the variable parameter ,

the CLTF of the system is,

(A) (B) (C) (D)

Linked Questions

Statement for Linked Answer Questions 52 and 53

A spread-spectrum communication system has the following parameters:

Information bit-duration: 4 ms

PN chip duration: 1 µs

52. The processing gain will be:

(A) (B) 4000 (C) 2000 (D)

53. If = 10, then jamming margin will be equal to:

(A) 26.1 dB (B) 15 dB (C) 26 dB (D) 15.1 dB

Statement for Linked Answer Questions 54 and 55

54.

For the circuit shown above & and . For the

following conditions on frequency, how the above circuit will behave?

(1) (a)Low Pass

(2) (b) High Pass

(3) (c)Constant

(A) 1 - (b), 2 - (c), 3 -(a)

(B) 1- (c),2- (b), 3-(a)

(C) 1 - (c), 2 - (a), 3 - (b)

(D) 1 - (b), 2 -(a), 3 - (c)

55. In previous question if R1 & C1are interchanged with R2 & C2, then the circuit behaves

as a

(A) Band reject filter

(B) Band pass filter

(C) All pass filter

(D) High pass filter



General Aptitude (GA) Questions

Questions 56 - 60 carry one mark each.

56. The question below consists of a pair of related words followed by four pairs of

words. Select the pair that best expresses the relation in the original pair.

QUISLING : BETRAY

(A) taunt : provoke

(B) inception : termination

(C) juggernaut : crush

(D) obstinate : preserve

57. In the following question, a word is given in bold which precedes four more words.

Pick the word from the four options which most nearly opposite in meaning to the

bold word.

RECALCITRANT

(A) feckless (B) yielding (C) somber (D) polished

58. In the following question one word-part is given with example, followed by four

options. Choose the most appropriate word which best describes the meaning of the

given word-part in a word.

nov (Ex. novice)

(A) Other (B) Draw, pull (C) Sharp (D) New

59. Choose the most appropriate word from the options given below to complete the following sentence: He is ______speaker, his discourses are always informative and inspirational.

(A) an eloquent

(B) an amateur

(C) a novice

(D)an inarticulate

60. A speaks truth 70% of the time; B speaks truth 80% of the time. What is the

probability that both are contradicting each other?

(A) 0.37 (B) 0.38 (C) 0.44 (D) 0.56

Questions 61 - 65 carry two marks each.

61. Find the best correction for the underlined sentence from the four options given below.

Under a provision of the Constitution that was never applied, Congress has been required to call a convention for considering possible amendments to the document when formally asked to do it by the legislatures of two-thirds of the states.

(A) has never been applied, Congress is required to call a convention to consider

possible amendments to the document when formally asked to do so



(B) was never applied, there has been a requirement that Congress call a convention

for consideration of possible amendments to the document when asked to do it

formally

(C) has never been applied, whereby Congress is required to call a convention to

consider possible amendments to the document when formally asked to do so

(D) was never applied, Congress has been required to call a convention for

considering possible amendments to the document when formally asked to do it

62. One afternoon a person left home at 2:45pm according to the watch at home. He

reached office at 3:10pm according to the watch at office. He stayed there for

25mins and moved towards home at a speed twice than previous and reached home

at 4pm according to the watch at home. Find out by which how much time office

watch is either fast or late compared to watch at home?

(A) 5min fast (B) 5min late (C) 15min late (D) 10min late

63. 7 liter milk was taken from a container and water of same amount was added to the

container. This procedure was repeated for three more times. The ratio of quantity

of milk to water in the container was obtained to be 81/47 at the end. What was the

quantity of milk in the container originally?

(A) 14lt (B) 28lt (C) 35lt (D) 42lt

64. A, B and C start running at the same time and from the same point around a circular

track of 70m radius. A and B run clockwise and C counter clockwise. If A meets C

every 88 seconds and B meets C every 110 seconds, then after how much seconds

does A meets B?

(A) 22 (B) 198 (C) 440 (D) 220

65. Twelve straight lines are drawn in a plane such that no two of them are parallel and

no three of them are concurrent. A circle is now drawn in the same plane such that

all the points of intersection of all the lines lie inside the circle. What is the number

of non-overlapping regions into which the circle is divided?

(A) 25 (B) 67 (C) 79 (D) 83

END OF THE QUESTION PAPER

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