III Year – Electronics & Communication Engineeringieoweb.s3.amazonaws.com/Papers-16/Question...

III Year

Email: [email protected]

IEO-2016

Partners & Sponsors:

1. Find the number of pairs of positive integers (a, b) such that

(A) 0 (B) 1

2. Choose a word that is most nearly opposite in meaning to the word

(A) exonerate (B) engender

3. Fill in the blank with most suitable word

Ratan Tata possesses the ability to recognize business opportunities, and it is

that makes him to be also known for philanthropy.

(A) creativity (B) composure

4. A certain amount becomes 5 times in 3 years at compound interest. In how many years will it be

3125 times of the amount?

(A) 9 (B) 12

5. Choose the most appropriate alternative from the options given below to complete the sentence.

The number of students who have shown interest to join coaching ________ encouraging.

(A) is (B) are

6. At 9 a.m. two trains started traveling toward each other from stations 315 miles apart. They passed

each other at 12:30 p.m. the same day. If the average speed of the faster train exceeded the

average speed of the slower train by 5k

faster train, in kmph?

(A) 45 (B) 40

7. Machine A produces toffees at constant rate of 9000 toffees per hour and machine B produces

toffees at constant rate of 7200 toffees per hour. If

minimum time required to produce 100000 toffees is

(A) 12hrs (B) 12hrs19min

I Year – Electronics & Communication Engineering

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

SPACE FOR ROUGH WORK

Section-I: General Ability

Find the number of pairs of positive integers (a, b) such that 6 2a b 127.− =

1 (C) 2 (D) 3

Choose a word that is most nearly opposite in meaning to the word Accuse

engender (C) abrogate (D) besmirch

blank with most suitable word

Ratan Tata possesses the ability to recognize business opportunities, and it is clearly this ______

that makes him to be also known for philanthropy.

composure (C) shrewdness (D) benevolence

A certain amount becomes 5 times in 3 years at compound interest. In how many years will it be

12 (C) 15 (D) 25

Choose the most appropriate alternative from the options given below to complete the sentence.


are (C) was (D) were

At 9 a.m. two trains started traveling toward each other from stations 315 miles apart. They passed


average speed of the slower train by 5kmph, which of the following represents the speed of the

40 (C) 47.5 (D) 42.5

Machine A produces toffees at constant rate of 9000 toffees per hour and machine B produces

toffees at constant rate of 7200 toffees per hour. If both machines work in alternate hours, then the

minimum time required to produce 100000 toffees is

12hrs19min (C) 12hrs24min (D) 12hrs30min

Electronics & Communication Engineering

1 of 13

besmirch

clearly this ______

benevolence

A certain amount becomes 5 times in 3 years at compound interest. In how many years will it be

Choose the most appropriate alternative from the options given below to complete the sentence.


At 9 a.m. two trains started traveling toward each other from stations 315 miles apart. They passed


which of the following represents the speed of the

Machine A produces toffees at constant rate of 9000 toffees per hour and machine B produces

both machines work in alternate hours, then the

12hrs30min

III Year


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8. Joshua and his younger brother Jishore have the same birthday. Jishore's age now is the same

Joshua's age was when Jishore was half as old as Joshua is now. Joshua was six years old when

Jishore was born. What is Joshua's age now?

(A) 18 (B) 24

9. 3 distinct numbers are chosen randomly from 401 to 800 (only natural numbers

all are divisible by 6 and 8 is

(A) 0.000053 (B) 0.00053

10. The following table gives details of six types of retail chains in Hyderabad

No. of Outlets

2012

McDonald 4

Pizza hut 2

Pizza corner 6

Dominos 12

KFC 4

American

Pizza

2

If the market-leader (in terms

as it did in sales per outlet in 2013, over 2012, then its profits in 2013 would have been

(A) 150 lakhs (B) 200 lakhs

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

statement.

Boosting world food production without gobbling up land and water will require technology to

play a larger role in the next 40 years

(A) than it did in the past 40 years

(C) than it has in the past 40 years




Joshua and his younger brother Jishore have the same birthday. Jishore's age now is the same


Jishore was born. What is Joshua's age now?

24 (C) 30 (D) 36

3 distinct numbers are chosen randomly from 401 to 800 (only natural numbers

all are divisible by 6 and 8 is

0.00053 (C) 0.000064 (D) 0.00064

The following table gives details of six types of retail chains in Hyderabad

No. of Outlets Average sales per

outlet (Lakhs)

Total profit of all

outlets (Lakhs)

2013 2012 2013 2012 2013

5 50 55 40 60

3 170 180 125 200

6 60 70 40 50

10 90 120 120 180

5 180 175 150 160

2 40 30 15 15

leader (in terms of sales) in 2012 had experienced the same percentage increase in profits


200 lakhs (C) 160 lakhs (D) 180 lakhs

replaces the underlined part to form a logically and grammatically correct


play a larger role in the next 40 years than it did in the past 40 years.

than it did in the past 40 years (B) than they have in the past 40 years

than it has in the past 40 years (D) than they had in the past 40 years


2 of 13

Joshua and his younger brother Jishore have the same birthday. Jishore's age now is the same as


3 distinct numbers are chosen randomly from 401 to 800 (only natural numbers). Probability that

0.00064

Total profit of all

outlets (Lakhs)

2013

200

180

160

of sales) in 2012 had experienced the same percentage increase in profits


180 lakhs

replaces the underlined part to form a logically and grammatically correct


than they have in the past 40 years

than they had in the past 40 years

III Year


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

Extravagance : Spartan

(A) Nature: Ambiguous

(C) Speech: Taciturn

13. A, B & C enter into a partnership in the ratio of

by 50%. If total profit at the end of one year be Rs.21,600, then B’s share in the profit is

(A) 6000 (B) 4000

14. In State X, the sales tax on FMCG is equal to 10 percent of the amount of the

above 100/-. In State Y, the sales tax on FMCG is equal to 8 percent of the entire purchase price.

For what purchase price would the sales tax in both states be equal?

(A) 180/- (B) 200/

15. Conventionally it is preferred to have decision making that is than intuitively done. However, a

recent study found that senior managers used intuition significantly more than did most mid

managers. This confirms the alternative view that intuition is actually more ef

methodical reasoning.

The conclusion above is based on which of the following assumptions?

(A) Methodical, step-by-step reasoning is inappropriate for making many real

decisions.

(B) Senior managers have the ability

reasoning in making decisions.

(C) The decisions that are made by mid

methodical reasoning as by using intuitive reasoning.

(D) Senior managers are more effective at decision making than are midlevel managers.

16. 50 people attended an exhibition. Out of them, 5 did not buy any book, 20 bought 1 book each, 15

bought 2 books each, and the rest bought at least 3 books. If the avera

person was 2, what is the maximum number of books that any single person could have bought?

(A) 13 (B) 15




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

(B) Despair: Hopeless

(D) Peason: Credible

A, B & C enter into a partnership in the ratio of7 4 6

: :2 3 5

. After 4 months, A increases his share


4000 (C) 8000 (D) 9000

In State X, the sales tax on FMCG is equal to 10 percent of the amount of the

. In State Y, the sales tax on FMCG is equal to 8 percent of the entire purchase price.

For what purchase price would the sales tax in both states be equal?

200/- (C) 400/- (D) 500/-

is preferred to have decision making that is than intuitively done. However, a

recent study found that senior managers used intuition significantly more than did most mid

managers. This confirms the alternative view that intuition is actually more effective than careful,

The conclusion above is based on which of the following assumptions?

step reasoning is inappropriate for making many real

Senior managers have the ability to use either intuitive reasoning or deductive, methodical

reasoning in making decisions.

The decisions that are made by mid-level and entry-level managers can be made as easily by using

methodical reasoning as by using intuitive reasoning.

Senior managers are more effective at decision making than are midlevel managers.

50 people attended an exhibition. Out of them, 5 did not buy any book, 20 bought 1 book each, 15

bought 2 books each, and the rest bought at least 3 books. If the average number of books bought per


15 (C) 18 (D) 23


3 of 13

. After 4 months, A increases his share


In State X, the sales tax on FMCG is equal to 10 percent of the amount of the purchase price

. In State Y, the sales tax on FMCG is equal to 8 percent of the entire purchase price.

is preferred to have decision making that is than intuitively done. However, a

recent study found that senior managers used intuition significantly more than did most mid-level

fective than careful,

step reasoning is inappropriate for making many real-life managerial

to use either intuitive reasoning or deductive, methodical

level managers can be made as easily by using

Senior managers are more effective at decision making than are midlevel managers.

50 people attended an exhibition. Out of them, 5 did not buy any book, 20 bought 1 book each, 15

ge number of books bought per


III Year


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17. Choose the grammatically incorrect sentence.

(A) The house needs to be painted soon

(B) We urge that he leave now

(C) We have watched him on TV, haven’t we?

(D) Amir decided to buy in the morning a new car, but in the afternoon, he changed his mind

18. Construction of the Roman Colosseum,

began in A.D.69, during the reign of Vespasian

Titus, who opened the Colosseum with a one

games, and spectacles.

(A) which was officially known as t

of Vespasian,

(B) officially known as the Flavian Amphitheater, begun in A.D. 69, during the reign of

Ve-spasian, and

(C) which was officially known as the Flavian Amphitheater, began in A.D.

of Vespasian, and

(D) officially known as the Flavian Amphitheater and begun in A.D. 69, during the

Vespasian it

19. Find out the odd one.

(A) People pray to God during adversity

(B) Rohini wrung her hands when the train

(C) Not everyone bats a hundred in life

(D) One should not succumb to pressure from peers

20. They panicked and........

(A) flew for their lives

(C) fled for their lives




Choose the grammatically incorrect sentence.

The house needs to be painted soon

urge that he leave now

We have watched him on TV, haven’t we?

Amir decided to buy in the morning a new car, but in the afternoon, he changed his mind

Construction of the Roman Colosseum, which was officially known as the Flavian Amphitheater

began in A.D.69, during the reign of Vespasian, was completed a decade later, during the reign of

Titus, who opened the Colosseum with a one-hundred-day cycle of religious pageants, gladiatorial

which was officially known as the Flavian Amphitheater, began in A.D. 69, during the reign

officially known as the Flavian Amphitheater, begun in A.D. 69, during the reign of

which was officially known as the Flavian Amphitheater, began in A.D. 69, during the reign

officially known as the Flavian Amphitheater and begun in A.D. 69, during the

People pray to God during adversity

Rohini wrung her hands when the train was left

Not everyone bats a hundred in life

One should not succumb to pressure from peers

(B) flowed for their lives

(D) fleeing for their lives


4 of 13

Amir decided to buy in the morning a new car, but in the afternoon, he changed his mind

which was officially known as the Flavian Amphitheater,

, was completed a decade later, during the reign of

day cycle of religious pageants, gladiatorial

he Flavian Amphitheater, began in A.D. 69, during the reign

officially known as the Flavian Amphitheater, begun in A.D. 69, during the reign of

69, during the reign

officially known as the Flavian Amphitheater and begun in A.D. 69, during the reign of

III Year


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21. One hundred identical coins, each with probability p of showing up heads are tossed once. If

0<p<1 and the probability of heads showing on 50 coins is equal to that of heads showing on 51

coins, then the value of p is

(A) 1

2 (B)

49

101

22. Consider a uniformly doped silicon transistor with base width of

16 310 / cm . If the collector doping is 7.8×10

Assume r =11.7ε

(A) 38.49 V (B) 56.43 V

23. The h21 parameter of the two port network shown in the figure is

(A) 1

(B) -1

(C) 2

(D) -2

24. Consider the following statements in respect of the Wien

below.

1. For R=1 Kilo Ohm C F, f=1KHz= µ

2. For R=3 Kilo Ohm C F, f=3KHz= µ

Which of the statement given above is /are correct?

(A) 1 only (B) 2 only

(C) 1 and 2 (D) neither 1 nor 2




Section-II: Technical

One hundred identical coins, each with probability p of showing up heads are tossed once. If


49

101 (C)

50

101 (D)

51

101

Consider a uniformly doped silicon transistor with base width of 0.6 m &µ

If the collector doping is 7.8×1014

/cm3, then the punch through voltage must be

56.43 V (C) 3.84 V (D) 76.9 V

parameter of the two port network shown in the figure is

Consider the following statements in respect of the Wien-bridge oscillator shown in the figure

1C F, f=1KHz

2

= µ

π

1C F, f=3KHz

18

= µ

π

Which of the statement given above is /are correct?

2 only

neither 1 nor 2

10Ω 20Ω

10Ω22i

+

−

+

−

1V 2V

1i 2i

R1 C

R

C R


5 of 13

One hundred identical coins, each with probability p of showing up heads are tossed once. If


0.6 m & base doping of

, then the punch through voltage must be

76.9 V

bridge oscillator shown in the figure

-

+

+

- V0

R2

III Year


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V t

25. Evaluate ( )tan 2x

x4

lim tan xπ

→

(A) 2/e (B) e

26. Which of the function does not satisfy the wave equation?

(A) j (t - 3z)50 e ω (B) sin

27. In the circuit shown below, what is the voltage

(A) 11

dVV

dt+

(B) V1

(C) 11

dVRCV

dt+

(D) 11

dVRC V

dt+

28.

1 6 1

Given a matrix M 1 2 0

0 0 3

=

(A) 1 (B) 2

29. For the circuit shown below, the lower

cross over frequency of the amplifier is

Lf 20Hz= . The transistor parameters are

0r 2k and 150π = β = .The value of C

(A) 0.8 Fµ

(B) 0.28 Fµ

(C) 0.6 Fµ

(D) 1 Fµ




R R R

C C C

+

−

R R R

C C C( )V t

−

( )1V t

a

b

+

−

(C) 1/e (D) e/2

Which of the function does not satisfy the wave equation?

sin ω (10z+5t) (C) Sin x cost (D) cos2 (y+3t)

In the circuit shown below, what is the voltage ( )abV t ?

1 6 1

Given a matrix M 1 2 0

0 0 3

. The largest eigen value is

2 (C) 3 (D) 4

For the circuit shown below, the lower

cross over frequency of the amplifier is

. The transistor parameters are

.The value of CB is

CCV

2R

0.4kER1R

BC

+

−

0.3k

Sv


6 of 13

)V t

(y+3t)

1.5k

0.4k

1 2R ||R 50k=

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30. For the circuit shown below, the ON time to OFF time ratio for the output pulse is equal to

(A) 1.5

(B) 2.5

(C) 3.5

(D) 4.5

31. A plane wave is reflected at normal incidence from

mV/m, then the value of VSWR is _________.

(A) 2 (B) 3

32. An intrinsic semi-conductor with mass of hole m

temperature T. If the top of the valence band energy is E

energy is Ec, the Fermi energy of the semiconductor is

(A) V CF B

E E 3E K Tln

2 4 m

+= −

(C) V CF B

E E 3E K T ln

2 4 m

+ = +

33. In the above full adder circuit, evaluate the correct operation performed by it.

(A) If C=0, the resultant operation is subtraction

(B) Independent of ‘C’, X always gives difference bit.

(C) If C=1, the resultant operation is subtraction

(D) None of these




For the circuit shown below, the ON time to OFF time ratio for the output pulse is equal to

A plane wave is reflected at normal incidence from boundary surface. If Ei = 10 mV/m and E

mV/m, then the value of VSWR is _________.

3 (C) 4 (D) 5

conductor with mass of hole mh and mass of an electron m

temperature T. If the top of the valence band energy is Ev and the bottom of the conduction band

, the Fermi energy of the semiconductor is

h

e

mE K Tln

2 4 m

(B) ( )B hF v c

K T m3E E E ln

2 4 m

= + +

hF B

e

mE K T ln

2 4 m

(D) ( )B hF V C

K T m3E E E ln

2 4 m

= − +

In the above full adder circuit, evaluate the correct operation performed by it.

If C=0, the resultant operation is subtraction

ent of ‘C’, X always gives difference bit.

If C=1, the resultant operation is subtraction

0.01 Fµ

555 timer

2

4 8

7 3

6

Output

28 k

56 k

0.01 Fµ

CCV


7 of 13

For the circuit shown below, the ON time to OFF time ratio for the output pulse is equal to

= 10 mV/m and Er = 5

and mass of an electron me is at a finite

and the bottom of the conduction band

B h

e

K T m

2 4 m

B h

e

K T m

2 4 m

F A

B A

C

X Y

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34. The variation of resistance, R ohm, of an aluminum conductor with temperature

dRR, where

d= α α

θ is temperature coefficient of resistance of aluminum.

oGiven that at 0 C, R 24= Ω

(A) 29Ω (B) 39

35. Given signal 2 0 t 2

x(t)0 else where

=

Here ( )t

h t = x0.8

(A) 2.2 (B) 3.8

36. ( ) ( )2

4

cos 2 t 2t+1 dt−

π δ =∫

(A) 1

2 (B) −

37. The ( )i o+ in the following network is

(A) 3.33A

(B) 4.53A

(C) 6.89A

(D) 5.73A

38. Two rectangular waveguides, one air filled with internal dimensions 2cm x 1cm and the other

dielectric filled with internal dimensions 1cm x 0.5cm, have the same cut

dominant mode. The relative permittivity of the dielectric material is __________.

(A) 2 (B) 3

x(t)




The variation of resistance, R ohm, of an aluminum conductor with temperature

is temperature coefficient of resistance of aluminum.

Given that at 0 C, R 24= Ω and 4 o38 10 / C−α = ×

then resistance at o50 will be

39Ω (C) 19Ω (D) 9Ω

2 0 t 2

0 else where

≤ ≤. The magnitude of output at t=1.8 sec is _________.

3.8 (C) 4.4 (D) 6.4

1

2− (C) 1 (D) -1

in the following network is

Two rectangular waveguides, one air filled with internal dimensions 2cm x 1cm and the other

dielectric filled with internal dimensions 1cm x 0.5cm, have the same cut-off frequency for the


3 (C) 4 (D) 5

( )h ty(t)

x(t)

i

1Ω

1Ω 1Η

2H

+−

t 0=

10V


8 of 13

The variation of resistance, R ohm, of an aluminum conductor with temperature oCθ is given by

is temperature coefficient of resistance of aluminum.

will be

. The magnitude of output at t=1.8 sec is _________.

Two rectangular waveguides, one air filled with internal dimensions 2cm x 1cm and the other

off frequency for the


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39. Consider the diagram shown below where x

kHz and sampling frequency is to be chosen twice of Nyquist rate.

The sampling frequency of y

(A) 25 (B) 36

40. The energy band diagram for sample shown below is

P type

(A)

(C)

2x (t)

1x (2t)

FPE

EiE

CE

FPE

vE




Consider the diagram shown below where x1(t) is band limited to 4 kHz, x2(t) is

Hz and sampling frequency is to be chosen twice of Nyquist rate.

The sampling frequency of y3(t) is _________kHz.

36 (C) 56 (D) 75

The energy band diagram for sample shown below is

Intrinsic N type

(B)

(D)

X

1x (t)

unit

delay1y (t)

∑

+

+

2y (t)

3y (t)

pEF 1EF

FNE

FPE

FiE

FnE


9 of 13

(t) is band limited to 6

nEF

FNE

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41. A two bit comparator with a set of timing diagrams are given below. Identify the correct

timing diagram.

(A)

(C)

42. Consider the system of equations

parameter ‘ λ ’ such that the system

(A) -3.5 (B) 3.5

43. The driving point impedance of the network shown in figure is given by

( )2

s 3Z s

2s 6s 1

+=

+ +. The values of the components are

(A) R 3 , L=1H, C=2F= Ω

(C) R 3 , L=0.5H, C=4F= Ω

Comp

0x

1x

0y

1y

01 2

3

01 2




A two bit comparator with a set of timing diagrams are given below. Identify the correct

(B)

(D)

Consider the system of equations3x y z 1; 2x+y+z=2; x+2y- z=-1− + λ = λ

such that the system fail to have unique solution is ___________

3.5 (C) 1.5 (D) -1.5

The driving point impedance of the network shown in figure is given by

. The values of the components are

(B) R 3 , L=2H, C=1F= Ω

R 3 , L=0.5H, C=4F (D) R 3 , L=4H, C=0.5F= Ω

(X Y)=

4

3 4

0 1

2

3

0x

1x

0y

1y

10 2 3

0 1 2 3

(Z s


10 of 13

A two bit comparator with a set of timing diagrams are given below. Identify the correct output

3x y z 1; 2x+y+z=2; x+2y- z=-1 , the value of the

solution is ___________.

4

4

4

C

R

L)Z s

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44. Figure below shows a section of a Programmable Logic Device (PLD). The Boolean expression

implemented in the PLD is

(A) AC AB ABC+ +

(B) AC AB ABC+ +

(C) AB AC ABC+ +

(D) AB AC ABC+ +

45. A pn junction is reverse biased by 6 volts with

that the junction has cross sectional area of

10 3

i rGiven n 1.5 10 / cm 11.7= × ε =

(A) 2.5pF (B) 3.5pF

46. The Eur

field of a plane electromagnetic wave is given by

corresponding magnetic field is

(A) (0kEB j cos t kz

= ω +

ω

ur$

(C) (okEB j cos t kz

= − ω +

ω

ur$

47. The Fourier transform of x(t) te sin t u(t)

(A) [ ] [

2 2

1 1

2 2 j( 1) 2 j( 1)

ω−

+ ω − + ω +

(C) [ ] [

2 2

1 1

2 2 j( 1) 2 j( 1)

ω −−

+ ω − + ω +




Figure below shows a section of a Programmable Logic Device (PLD). The Boolean expression

A pn junction is reverse biased by 6 volts with 17 3

aN 7 10 / cm= × 17 3

D& N 10 / cm .=

that the junction has cross sectional area of 4 22 10 cm−× the junction capacitance must be

10 3

i rGiven n 1.5 10 / cm 11.7= × ε =

3.5pF (C) 5.5pF (D) 6.5pF

field of a plane electromagnetic wave is given by oE i E cos t kz= ω +ur

$

corresponding magnetic field is given by

)B j cos t kz (B) ( )okEB j sin t kz

= − ω +

ω

ur$

)B j cos t kz= − ω + (D) ( )okEB j cos t kz

= − ω −

ω

ur$

2tdx(t) te sin t u(t)

dt

− = is given by

]2 2

1 1

2 j( 1) 2 j( 1)

+ ω − + ω + (B)

[ ] [2 2

1 1

2 j( 1) 2 j( 1)

ω +

+ ω + + ω −

]2 2

1 1

2 j( 1) 2 j( 1)

+ ω − + ω + (D) None of these

B

A

C


11 of 13

Figure below shows a section of a Programmable Logic Device (PLD). The Boolean expression

17 3& N 10 / cm . Assuming

the junction capacitance must be

( )E i E cos t kz= ω + . The

]2 2

2 j( 1) 2 j( 1)

+ ω + + ω −

Y

III Year


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48. A divide by N-counter is designed using JK flip

A, B, C as 000)

The output of the above counter is given to the circuit shown below, which consists of 3

line decoder and LEDs.

The LEDs that will never glow are

(A) 0 7D and D (B) D and D

J

K

Q

Q

CLK

3x8 Decoder

0O

1O

2O

3O

4O

5O

6O

7O

A

B

C

0A1A2A




counter is designed using JK flip-flops as shown in the figure. (Assuming initially

The output of the above counter is given to the circuit shown below, which consists of 3

never glow are

0 1D and D (C) 2 5D and D (D)

5 7D and D

Q

Q

J

K

Q

Q

J

K

Q

Q

A B C

5V+

0D1D 2D 3D 4D 5D 6D 7D


12 of 13

flops as shown in the figure. (Assuming initially

The output of the above counter is given to the circuit shown below, which consists of 3-line to 8-

5 7D and D

C

7D

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49. In the circuit shown, Vo will be zero at the frequency of

(A) 1

HzRC

(B) 2

RC

50. When an input voltage Vi of the form shown, is applied to the circuit given below with the diode

practical with forward resistance

(A)

(C)

12V−

12V

12V

0V

12V

2.3V

0V




will be zero at the frequency of

2Hz

RC

π (C)

1Hz

2 RCπ (D)

RCHz

2π

of the form shown, is applied to the circuit given below with the diode

resistancefR =0 , the output voltage Vo is of the form

(B)

(D)

12V

R

oViV

3V

D

t t

12V

3V

t

t0V

12V−

RR

C

CRR

2

oV

−+V


13 of 13

Hz

of the form shown, is applied to the circuit given below with the diode

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