iv year – electronics & communication engineeringieoweb.s3.amazonaws.com/papers-16/question...

IV Year

Email: [email protected]

IEO-2016

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1. For all positive numbers x and y which of following functions is f(x

(A) f(A) = a2 (B) f(A)= a+1

2. Find the wrong number in the series 2, 6, 29, 146, 877, 6140

(A) 6140 (B) 2

3. In the sentence given below, pick up one option, which is most nearly same in meaning as the

word printed in bold, and can replace it without altering

Being a member of this club, he has certain

(A) status (B) truth

4. In the following question, choose the word which is the exact OPPOSITE of the given word.

NIGGARDLY

(A) Frugal (B) Thrifty

5. Pick out the most effective word from the given words to fill in the blank to make the sentence

meaningfully complete.

If negotiations are to prove fruitful, there must not only be sincerity on each side, but there must

also be ........... in the sincerity of the other side.

(A) Faith (B) Belief

6. B and C working together can do a job in 24 days. After working together for 15 days, B left. C took

15 more days to do the remaining job. If B works

(A) 30 (B) 40

7. A dishonest dealer marks up the price of his goods by 20% and gives a discount of 10% to the

customer. Besides, he also cheats both his supplier and his buyer by 100 grams wh

selling 1 kilogram. Find the percentage profit earned by the shopkeeper.

(A) 30 (B) 35

8. In a group of 6 boys and 4 girls, 4 children are to be selected. In how many different ways they

can be selected such that atleast 2 b

(A) 100 (B) 205

Year – Electronics & Communication Engineering

[email protected], Website: www.engineeringolympiad.in

SPACE FOR ROUGH WORK

Section-I: General Ability

or all positive numbers x and y which of following functions is f(x-y) = f(x) - f(y)

f(A)= a+1 (C) ( )f A a= (D) f(A)=

the series 2, 6, 29, 146, 877, 6140

2 (C) 29 (D) 6

In the sentence given below, pick up one option, which is most nearly same in meaning as the

word printed in bold, and can replace it without altering meaning of sentence.

Being a member of this club, he has certain rights.

truth (C) virtues (D) privileges

In the following question, choose the word which is the exact OPPOSITE of the given word.

Thrifty (C) Stingy (D) Generous

Pick out the most effective word from the given words to fill in the blank to make the sentence


........... in the sincerity of the other side.

Belief (C) Substance (D) Certainty

B and C working together can do a job in 24 days. After working together for 15 days, B left. C took

15 more days to do the remaining job. If B works alone, in how many days can he finish the job?

40 (C) 48 (D) 60

A dishonest dealer marks up the price of his goods by 20% and gives a discount of 10% to the

customer. Besides, he also cheats both his supplier and his buyer by 100 grams wh

selling 1 kilogram. Find the percentage profit earned by the shopkeeper.

35 (C) 32 (D) 29

In a group of 6 boys and 4 girls, 4 children are to be selected. In how many different ways they

can be selected such that atleast 2 boys are there?

205 (C) 185 (D) 211

Electronics & Communication Engineering

www.engineeringolympiad.in 1 of 12

f(y)

f(A)= -3a

In the sentence given below, pick up one option, which is most nearly same in meaning as the

privileges

In the following question, choose the word which is the exact OPPOSITE of the given word.

Generous

Pick out the most effective word from the given words to fill in the blank to make the sentence


Certainty

B and C working together can do a job in 24 days. After working together for 15 days, B left. C took

alone, in how many days can he finish the job?

A dishonest dealer marks up the price of his goods by 20% and gives a discount of 10% to the

customer. Besides, he also cheats both his supplier and his buyer by 100 grams while buying and

In a group of 6 boys and 4 girls, 4 children are to be selected. In how many different ways they

IV Year


IEO-2016


9. 80 percent of the employees in a company are male. 10 percent of the employees in the company are

currently in Tamilnadu. Of the employees in Tamilnadu, 40 percent are in Chennai, 40 percent are in

Coimbatore, and 20 percent are in Trichy. Of the employees at Chennai, 75 percent are male. What

percent of the company's female employees are currently in Chennai?

(A) 18 percent (B) 15 percent

10. Average traffic at Paradise X

respective value during Thursday

are possible for average traffic for all days (in vehicles per minute)?

(i) 16 (ii) 20

(A) Only ii (B) ii and iii

11. You win some and loose some. You must enjoy winning. But do not let it go to the head. The

moment it does, you are already on your way to failure. If you encounter a failure, don’t beat

yourself for it or anyone else for that matter.

Accept it, look at your own share in the problem, learn from it and move on.

(A) Where there is a will there is a way

(B) Failure is the stepping stone of success

(C) Winners don’t do different things, but do things differently.

(D) When you lose, don’t lose the lesson

12. Janak is participating in a 180 km bike race. Janak rides at an average speed of 30 km per hour for

the first one-third distance, 20 km per hour for the next one

the final 60 km. What was Janak’s average speed for the race?

(A) 15 km/h (B) 16.67 km/h

13. In question below, there is a sentence of which some parts has been jumbled up. Rearrange these

parts, which are labeled P, Q, R, and S to produce the correct sentence. Choose the proper

sequence. It would

(P) appear from his statement

(R) in dealing with the strike

The proper sequence should be:

(A) RPSQ (B) PSQR




80 percent of the employees in a company are male. 10 percent of the employees in the company are


tore, and 20 percent are in Trichy. Of the employees at Chennai, 75 percent are male. What

percent of the company's female employees are currently in Chennai?

15 percent (C) 21 percent (D) 6 percent

Average traffic at Paradise X roads during Monday-Thursday is 21 vehicles per minute. The

respective value during Thursday-Sunday is 28 vehicles per min. Which of the following values

are possible for average traffic for all days (in vehicles per minute)?

20 (iii) 28

ii and iii (C) i and iii (D) i, ii, and iii

You win some and loose some. You must enjoy winning. But do not let it go to the head. The


urself for it or anyone else for that matter.

Accept it, look at your own share in the problem, learn from it and move on. Choose the summary:

Where there is a will there is a way

Failure is the stepping stone of success

fferent things, but do things differently.

lose the lesson

Janak is participating in a 180 km bike race. Janak rides at an average speed of 30 km per hour for

third distance, 20 km per hour for the next one-third distance, and 10 km per hour for

the final 60 km. What was Janak’s average speed for the race?

16.67 km/h (C) 22.5 km/h (D) 16.36 km/h

In question below, there is a sentence of which some parts has been jumbled up. Rearrange these

ts, which are labeled P, Q, R, and S to produce the correct sentence. Choose the proper

appear from his statement (Q) about the policy of management

in dealing with the strike (S) that he was quite in the dark

nce should be:

PSQR (C) RQPS (D) PRQS



80 percent of the employees in a company are male. 10 percent of the employees in the company are


tore, and 20 percent are in Trichy. Of the employees at Chennai, 75 percent are male. What

6 percent

Thursday is 21 vehicles per minute. The

Sunday is 28 vehicles per min. Which of the following values

i, ii, and iii

You win some and loose some. You must enjoy winning. But do not let it go to the head. The


Choose the summary:

Janak is participating in a 180 km bike race. Janak rides at an average speed of 30 km per hour for

distance, and 10 km per hour for

16.36 km/h

In question below, there is a sentence of which some parts has been jumbled up. Rearrange these

ts, which are labeled P, Q, R, and S to produce the correct sentence. Choose the proper

about the policy of management

PRQS

IV Year


IEO-2016


14. There are 65 questions in a 3 hr examination. Among these questions there are 15 general aptitude

problems. It is suggested that two

as for each other question. How many minutes should be spent on general aptitude problems?

(A) 30 (B) 45

15. According to the Sci-True Lab, the new micro

identified once as spherical, once as cubical,

the same shape twice.

Which of the following is implied in the above statement?

(A) The new micro-organism can be expected eventually to assume every possible shape.

(B) The new micro-organism is different from all organisms previously known.

(C) The Sci-True Lab is not a reliable source of information about the new micro

(D) The new micro-organism can be identified on the basis of some characteristic other t

16. Choose the best inference from the given statement

Statement: If it does not rain throughout this month, most farmers will be in trouble this year.

(A) Most of the farmers are generally dependent on rains.

(B) There is no water in the ponds

(C) The monsoon Winds are late this year.

(D) Wheat and paddy require water for cultivation.

17. Choose a pair that has most similar relationship to the given pair

Interested: Zealous

(A) Wild: Bizarre

(C) Hateful: Nauseous

18. In a survey of unemployed, three

the survey may underestimate the proportion of respondents who are dishonest, because________.

(A) Some dishonest respondents taking the survey might have claimed to be honest on the survey

(B) Some generally honest respondents taking the survey might have claimed on the survey to be

dishonest

(C) Some respondents who claimed on the survey to be at least a little di

(D) Some respondents who claimed on the survey to be dishonest may have been answering honestly




There are 65 questions in a 3 hr examination. Among these questions there are 15 general aptitude

problems. It is suggested that two-thirds as much time be spent on each general aptitude problem

for each other question. How many minutes should be spent on general aptitude problems?

45 (C) 50 (D) 60

True Lab, the new micro-organism is discovered in certain lakes was

identified once as spherical, once as cubical, and once as spiral, but has never been seen to assume

Which of the following is implied in the above statement?

organism can be expected eventually to assume every possible shape.

organism is different from all organisms previously known.

True Lab is not a reliable source of information about the new micro

organism can be identified on the basis of some characteristic other t

Choose the best inference from the given statement

: If it does not rain throughout this month, most farmers will be in trouble this year.

Most of the farmers are generally dependent on rains.

e ponds

The monsoon Winds are late this year.

Wheat and paddy require water for cultivation.

Choose a pair that has most similar relationship to the given pair

(B) Decent: Contemporary

(D) Hungry: Ravenous

In a survey of unemployed, three-fifths admitted to being at least somewhat dishonest. However,


respondents taking the survey might have claimed to be honest on the survey

Some generally honest respondents taking the survey might have claimed on the survey to be

Some respondents who claimed on the survey to be at least a little dishonest may be very dishonest

Some respondents who claimed on the survey to be dishonest may have been answering honestly



There are 65 questions in a 3 hr examination. Among these questions there are 15 general aptitude

thirds as much time be spent on each general aptitude problem

for each other question. How many minutes should be spent on general aptitude problems?

organism is discovered in certain lakes was

and once as spiral, but has never been seen to assume

organism can be expected eventually to assume every possible shape.

organism is different from all organisms previously known.

True Lab is not a reliable source of information about the new micro-organism.

organism can be identified on the basis of some characteristic other than shape.

: If it does not rain throughout this month, most farmers will be in trouble this year.

fifths admitted to being at least somewhat dishonest. However,


respondents taking the survey might have claimed to be honest on the survey

Some generally honest respondents taking the survey might have claimed on the survey to be

shonest may be very dishonest

Some respondents who claimed on the survey to be dishonest may have been answering honestly

IV Year


IEO-2016


19. Identify the choice that replaces the underlined part to form a logically and grammatically correct

statement.

The greatest obstacle to economic and environmental improvements in

mammoth foreign debt.

(A) developing countries is its

(C) developing countries is their

20. Data of different states regarding population of states in the year 1998:

Total population of given states = 32,

Following table shows that sex & literacy wise population ratio:

States Sex

Male

Andhra Pradesh 5

Madhya Pradesh 3

Delhi 2

Goa 3

Bihar 3

Uttar Pradesh 3

Tamil Nadu 3

What will be the total percentage of total number of males in U.P, M.P & Goa together to the total

population of all given states ?

(A) 28.5% (B) 18.5%

Goa

12%

Bihar

11%




Identify the choice that replaces the underlined part to form a logically and grammatically correct

The greatest obstacle to economic and environmental improvements in developing countries is its

developing countries is its (B) the developing countries is its

developing countries is their (D) the developing countries is their

Data of different states regarding population of states in the year 1998:

Total population of given states = 32, 76,000

Following table shows that sex & literacy wise population ratio:

Sex Literacy

Female Literate Illiterate

3 2 7

1 1 4

3 2 1

5 3 2

4 4 1

2 7 2

4 9 4


population of all given states ?

18.5% (C) 23% (D) 32%

A.P

25%

M.P

20%

Delhi

8%

Goa

12%

Bihar

11%

U.P

15%

T.N

9%



Identify the choice that replaces the underlined part to form a logically and grammatically correct

developing countries is its

eir


IV Year


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21. The voltage across the last resistor is V. All the resistors are unity. Then V

(A) 13V

(B) 19V

(C) 25V

(D) 8V

22. Let p be the probability that a man aged y

probability that a man among ‘n’ men of all aged ‘y’ will get into accident first?

(A) ( )n1

1 1 pn − − (B)

1

n

23. Analog switch of sample and hold circuit as shown in figure has ON resistance of

amplifier has input bias current of

open is

(A) 0.01V / sec

(B) 0.1V / sec

(C) 0.1mV / sec

(D) None

24. An inductor of inductance 0.25 H & resistance 50

The magnitude of the voltage across the capacitor at 1 kHz is

(Assuming that the supply is 5 V)

(A) 157.1 V (B) 179.2 V

SV




Section-II: Technical

voltage across the last resistor is V. All the resistors are unity. Then VS is

Let p be the probability that a man aged y will get into an accident in a year. What is the


( )n1

1 1 pn − + (C)

( )n

1 p

n

− (D) n 1 1 p − −

Analog switch of sample and hold circuit as shown in figure has ON resistance of

amplifier has input bias current of 1 A.µ Then the discharging rate of capacitor ‘C’ when switch is

An inductor of inductance 0.25 H & resistance 50 Ω resonates with a series capacitor at 1 kHz.

The magnitude of the voltage across the capacitor at 1 kHz is

(Assuming that the supply is 5 V)

179.2 V (C) 200 V (D) 31.4 V

+

−

1Ω 1Ω 1Ω

1Ω1Ω

+

−V1Ω

switch

Input Buffer output amplifier

C 100 F= µ

S



will get into an accident in a year. What is the


( )n

n 1 1 p − −

Analog switch of sample and hold circuit as shown in figure has ON resistance of 100 .Ω Output

Then the discharging rate of capacitor ‘C’ when switch is

resonates with a series capacitor at 1 kHz.

31.4 V

IV Year


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25. In a class – B push pull operation, the D.C. power drawn is 28W

amplifier to the load at its maximum power conversion efficiency is

(A) 40W (B) 19W

26. In the following Op-Amp, when only

and when only 2V of 2 V is applied and

is approximately

(A) 13 dB (B) 20 dB

(C) 43 dB (D) 68 dB

27. Given a function f(t) as shown below.

The above signal is fed as input to (all inp

domain)

The magnitude of output at

(A) 1 (B) 0

28. Given: ( )dy

3 1 x ydx

= + − and y = 4 when x = 1. Using Runga

approximate value of y when x = 1.2 will be

(A) 0.419 (B) 0.519

F(j )ω 4

ω

1−




B push pull operation, the D.C. power drawn is 28W. The power delivered by the

amplifier to the load at its maximum power conversion efficiency is

19W (C) 32W (D) 22W

Amp, when only 1V of 1 V is applied and 2V is grounded then output is

of 2 V is applied and 1V is kept at 0 V, output is 20 V then CMRR of op

20 dB

68 dB

Given a function f(t) as shown below.

The above signal is fed as input to (all inputs, outputs and system function given in frequency

The magnitude of output at 2

πω = rad/sec is

0 (C) 0.08 (D) 0.64

and y = 4 when x = 1. Using Runga-Kutta fourth order method, the

approximate value of y when x = 1.2 will be

0.519 (C) 0.613 (D) 0.318

+

−1V

2VV

2

4

ω( )

2

f(t)

E1+01−

1



. The power delivered by the

is grounded then output is -8 V

is kept at 0 V, output is 20 V then CMRR of op-amp

uts, outputs and system function given in frequency

Kutta fourth order method, the

0V

output

IV Year


IEO-2016


29. A system is having unit step response as

then the group delay at ω =

(A) 0.5 sec (B) 1 sec

30. Consider the system shown in the figure

The D.C component in signal y(t) is

(A) 0.9341 (B) 0

31. The Transfer function ( )( )

Y s

X s

(A) ( ) ( )

( ) ( )1 2

1 2

G s G s 1

1 G s G s

+ −

(B) ( ) ( )

( ) ( )2 1

2 1

G s 1 G s

1 G s G s

+ −

(C) ( ) ( )

( ) ( )1 1

1 2

G s 1 G s

1 G s G s

+ − +

(D) ( ) ( )( )

( ) ( )2 1

1 2

G s 1 G s

1 G s G s

+

+ +

X f

0 33−

34 55

3

f11−




A system is having unit step response as ( ) ty t e u(t)−= . If the same system is cascaded with itself,

3 rad / secω = is ________.

1 sec (C) 1.5 sec (D) 2 sec

Consider the system shown in the figure

The D.C component in signal y(t) is

0 (C) 12 (D) 8

))

Y s

X s of the LTI system shown below is

( )1G s

( )2G s

( )X s

+

+

+

+

( )H f

f

2

1

02− 2

1Ω

1F

+

−( )g t (y t

1− 1



. If the same system is cascaded with itself,

( )Y s

)y t

IV Year


IEO-2016


32. A source has 256 symbols which are equiprobable and their successive transmissions are

independent. If an AWGN channel with a bandwidth of 4 kHz and SNR of 31 is used for

transmission of symbols, then the maximum rate (in symbols / sec) at which the transm

be made with an arbitrary low probability error is

(A) 1500 (B) 2000

33. Solution for ( 2 2 2 2 2 2

S

a x b y c z dS+ +∫

(A) 4

abc

π (B)

3 abc

34. What is the effect of β on signal to noise ratio at the output for the signal flow diagram shown below?

(A) Increases with increase in

(C) Independent of β

35.

In the above digital circuit, to get an output bit as ‘B

(A) 1 0Select 0;S S 10= =

(C) 1 0Select 1; S S 01= =

Quad ruple

Two to one

Line MUX

− −

3 2 1 0A A A A

3 2 1 0B B B ,B

Select

4

sV

+

+




A source has 256 symbols which are equiprobable and their successive transmissions are


transmission of symbols, then the maximum rate (in symbols / sec) at which the transm

be made with an arbitrary low probability error is

2000 (C) 2500 (D) 3000

)1

2 2 2 2 2 2 2a x b y c z dS−

+ + where S is surface of ellipsoid 2 2 2

ax by cz 1+ + =

4

3 abc

π (C)

4abc

3

π (D) None of these

on signal to noise ratio at the output for the signal flow diagram shown below?

Increases with increase in β (B) Decreases with increase in β

(D) Increase or decreases depending upon sign of

In the above digital circuit, to get an output bit as ‘B2’ what are the values of select and S

(B) 1 0Select 1;S S 10= =

(D) 1 0Select 0; S S 01= =

4 1

MUX

× 2B

1S 0

S

β

1A 2A

nV

0V 0V

1+

+



A source has 256 symbols which are equiprobable and their successive transmissions are


transmission of symbols, then the maximum rate (in symbols / sec) at which the transmission can

2 2 2ax by cz 1+ + = is

None of these

on signal to noise ratio at the output for the signal flow diagram shown below?

Increase or decreases depending upon sign of β

of select and S1S0?

IV Year


IEO-2016


36. Consider the differential equation,

Find the P.I. of the above equation.

(A) 2

cosnx xsin nxlogsecnx +

n n

(C) 2

cosnx xsin nxlogsecnx -

n n

37. A PCM system uses a uniform quantizer which has a range

binary encoder. A zero mean s

uniform probability density. The ratio of the signal power to the quantisation noise power at the

output of the quantizer is

(A) 42 dB (B) 38 dB

38. For the figure shown below,

response peak at a frequency of __________

(A) 3.5 rad/sec

(B) 2.8 rad/sec

(C) 4.3 rad/sec

(D) 6.8 rad/sec

39. Which of the following statements is/are correct?

1. For plane wave propagating in lossless dielectrics, the E&H are in time phase with each other.

2. Total internal reflection may occur when wave is travelling from rarer medium to

medium.

(A) 1 only (B) 2 only

40. For common base operation of a BJT, which of the following are correct?

I. High voltage gain

III. High input resistance

(A) I and II (B) I and III




Consider the differential equation, [ ]2

2

2

d yn y sec nx n 0

dx+ = ≠

Find the P.I. of the above equation.

cosnx xsin nx

n n (B)

2

cosnx xsin nxlogcosnx +

n n

cosnx xsinnx

n n (D)

2

cosnx xsin nxlogcosnx -

n n

A PCM system uses a uniform quantizer which has a range –V to +V and it is followed by a 7

binary encoder. A zero mean signal applied to the quantizer extends over its entire range and has


38 dB (C) 28 dB (D) 18 dB

For the figure shown below, ( )r t sin t.= ω and the steady state response C(t) will exhibit a

at a frequency of ___________ .

Which of the following statements is/are correct?

propagating in lossless dielectrics, the E&H are in time phase with each other.

Total internal reflection may occur when wave is travelling from rarer medium to

2 only (C) both 1, 2 (D) None of these

operation of a BJT, which of the following are correct?

II. Excellent high frequency response

IV. Ideal current buffer

I and III (C) I, II and III (D) I, II and IV

( )r t +

- ( )16

s s 4+( )c t



V to +V and it is followed by a 7-bit

ignal applied to the quantizer extends over its entire range and has


18 dB

and the steady state response C(t) will exhibit a

propagating in lossless dielectrics, the E&H are in time phase with each other.

Total internal reflection may occur when wave is travelling from rarer medium to denser

None of these

Excellent high frequency response

I, II and IV

IV Year


IEO-2016


41. Which of the following statements are false?

1. ( ) ( ).A A A∇ ∇ = ∇ × ∇ × + ∇ur ur ur

Where A is scalar and Aur

is a vector

(A) 1 only (B) 2 only

42.

2 y1

0 y

xydxdy−

∫ ∫ =___________.

(A) 0.392 (B) 0.292

43. The power dissipated in the 5

(A) 2.4W

(B) 1.9W

(C) 3.2W

(D) 8W

44. A 6 GHz EM wave propagates in a parallel plane waveguide, the separation between the planes

being 3 cm. Its phase and group velocities are respectively

(A) 8 8

1.65 10 m / sec, 5.45x10 m/sec×

(C) 8 8

1.65 10 m / sec, 1.65x10 m/sec×

45. The frequency of the pulse at x

(A) 10Hz (B) 15Hz

10-bit

Ring

counter 0x 1x

( )320kHz




following statements are false?

2.A A A∇ ∇ = ∇ × ∇ × + ∇ur ur ur

2. ( )A 0∇ × ∇ = 3. (∇ × ∇ × =

is a vector

2 only (C) 3 only (D) None of these

=___________.

0.292 (C) 0.492 (D) 0.153

The power dissipated in the 5 Ω resistor for the circuit shown below is

A 6 GHz EM wave propagates in a parallel plane waveguide, the separation between the planes

cm. Its phase and group velocities are respectively 8 8

1.65 10 m / sec, 5.45x10 m/sec (B) 8 8

5.45 10 m / sec, 1.65x10 m/sec×8 8

1.65 10 m / sec, 1.65x10 m/sec (D) 8 8

5.45 10 m / sec, 3.7x10 m/sec×

The frequency of the pulse at x4 in the network shown below is

15Hz (C) 20Hz (D) 25Hz

4-bit

parallel

counter

Mod 25

Ripple

counter

4-bit

Johnson

counter

2-bit Ring

counter2x 3x 4x

+ − + −

5Ω1Ω10Ω

5V10V

2A



)A 0∇ × ∇ × =ur

None of these

A 6 GHz EM wave propagates in a parallel plane waveguide, the separation between the planes

5.45 10 m / sec, 1.65x10 m/sec

5.45 10 m / sec, 3.7x10 m/sec

bit Ring

counter 5x

IV Year


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46. For the network shown below, switch was open for very long time and is thrown at t = 0. The

value VL at t = 1 sec is given by

(A) 0.47 V

(B) 1 V

(C) 1.47 V

(D) Can’t be determined

47. A bar of silicon is doped with acceptors as shown below. The doping density varies smoothly and

monotonically in the x direction from

acceptor profile becomes uniform. The donor density is zero everywhere. This is a thermal equilibrium

situation.

The electrostatic potential is greater at

(A) x=0

(B) L

0 x2

< <

(C) L

x L2

< <

(D) x=L

48. For the circuit diagram shown below,

the series continues upto “n” gates

where n

k k is an int eger3

=

The final output of nth gate is

(A) A (B) A

(C) 1 (D) cannot be determined




For the network shown below, switch was open for very long time and is thrown at t = 0. The

at t = 1 sec is given by

A bar of silicon is doped with acceptors as shown below. The doping density varies smoothly and

monotonically in the x direction from A i A iN n at x 0 to N n<< = >> at x L. Above x L,= =


The electrostatic potential is greater at

For the circuit diagram shown below,

the series continues upto “n” gates

k k is an int eger .

gate is

A

cannot be determined

uniformndopingA

N

x0 L

2

L

in

10

V

8

V

Ω20

Ω10

10HL

V

+

−

1

2

3

4

5

1

1

1

1

1

1



For the network shown below, switch was open for very long time and is thrown at t = 0. The

A bar of silicon is doped with acceptors as shown below. The doping density varies smoothly and

x L. Above x L,= = the


uniformndoping

61

upto n

IV Year


IEO-2016


49. The z-transform X(z) of the real and right

them is at j /2z e π= and there are two zeros at the origin. If

followings is true?

(A) ( )( )

2

2

2zX z

z 1 2=

− +, ROC is

(C) ( )( )

2

2

2zX z , ROC is z 1

z 1 2= >

− +

50. The PSD of a narrow band noise n(t) is shown

The carrier frequency is 5 Hz, then the PSD of the

in-phase component of n (t) is

(A)

(C)

( )fN

S f 2.0

2− 1− 1 2

2− 1− 1 20.50.5−

( )1N

S f




transform X(z) of the real and right-sided sequence x[n] has exactly two poles and one of

and there are two zeros at the origin. If ( )X 1 1= ,then which one of

, ROC is 1

z 12

< < (B) ( )2

2

2z 1X z , ROC is z

z 1 2= >

+

X z , ROC is z 1= > (D) ( )2

2

2zX z , ROC is z 1

z 1= >

+

The PSD of a narrow band noise n(t) is shown in figure.

The carrier frequency is 5 Hz, then the PSD of the

phase component of n (t) is

(B)

(D)

f

( )IN

S f 2.0

2− 1− 1 2 f

f

( )1N

S f

1− 0.5− 0 0.5 1 f

( )NS f

1.0

7− 5 4 40



sided sequence x[n] has exactly two poles and one of

,then which one of the

2z 1X z , ROC is z

z 1 2= >

X z , ROC is z 1= >

5 7f

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