GATE ECE Model Question Paper Solved 2

Q1. If A and B aresquarematricesoforder 4 4 suchthat A B= 5 and A B= a ,then a is

(A)5 (B)25

(C)625 (D)Noneofthese

Q2. Theparticularintegralofthedifferentialequation ( ) ,D D y e e Dd

dx

x x3- = +

- is

(A)1

2( )e ex x+ - (B)

1

2x e ex x( )+ -

(C)1

2

2x e ex x( )+ - (D)1

2

2x e ex x( )- -

Q3. If x td

dtte u tt( ) { ( )}= - ,thenlaplacetransformof x t( ) is

(A)1

1 2s s( )+(B)

s

s( )+1 2

(C)e

s

s-

+1(D)

e

s

s-

+( )1 2

Q4. Considerthe x t( ) asshowninfig.Q4.TheFTof x t( ) is

(A)2 2sin w

w

-

(B)2 2cosw

w

-

j

(C) 2 jw wcos (D) 2 jw wsin

Q5. Ifaresistorof10 W isplacedinparallelwithvoltagesourceinthecircuitoffig.Q5,thecurrent i willbe

(A)increased (B)decreased

(C)unchanged (D)Itisnotpossibletosay

1 Paper-2

x t( )

-1

1t

1FigQ4

QuestionsQ1.toQ20.carryonemarkeach.

vs

i

Linear

Resistive

Network

FigQ5

PAPER-2

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Q6. Thecurrentcarryingcapacityofa1W,4MW resistorusedinradioreceiveris

(A)0.5 kA (B)2 kA

(C)2mA (D)0.5mA

Q7. Theequationgoverningthediffusionofneutralatomis

(A)

N

tD

N

x=

2

2(B)

N

xD

N

t=

2

2

(C)

2

2

N

tD

N

x= (D)

2

2

N

xD

N

t=

Q8. Thep-typesubstrateinamonolithiccircuitshouldbeconnectedto

(A)anydcgroundpoint

(B)themostnegativevoltageavailableinthecircuit

(C)themostpositivevoltageavailableinthecircuit

(D)nowhere, i.e.befloating

Q9. ConsidertheListIandListII

ListI(Oscillator) ListII(Characteristic)

P.ColpittsOscillator 1.RCOscillator

Q.PhaseshiftOscillator 2.LCOscillator

R.TunneldiodeOscillator 3.NegativeresistanceOscillator

S.RelaxationOscillator 4.SweepCircuits

Thecorrectmatchis

P Q R S

(A) 1 2 3 4

(B) 2 1 3 4

(C) 1 2 4 3

(D) 2 1 4 3

2 Paper-2


Q10. Forthecircuitshowninfig.Q10,VCB

= 05. Vand b =100.Thevalueof IQ

is

(A)1.68mA (B)0.909mA

(C)0.134mA (D)Noneoftheabove

Q11. Afour-variableswitchingfunctionhas minterms m6

and m9.Ifthe literals inthese minterms are

complemented,thecorresponding minterm numbersare

(A) m3

and m0

(B) m9

and m6

(C) m2

and m0

(D) m6

and m9

Q12. Thediodelogiccircuitoffig.Q12isa

(A)AND (B)OR

(C) NAND (D)NOR

Q13. Theevenpartofafunction x n u n u n[ ] [ ] [ ]= - - 4 is

(A)1

21 4 4{ [ ] [ ] [ ]}+ - - - - -d n u n u n

(B)1

23 4{ [ ] [ ] [ ]}u n u n n+ - - + d

(C)1

24 4{ [ ] [ ] [ ] [ ]}u n u n u n u n+ - - - - - -

(D)Aboveall

3 Paper-2

V1

V2 Vo

D2

D1

FigQ12

-5V

IQ

Vo

+5V

5kW

FigQ10


Q14. The trigonometricFourierseriesforthewaveformshowninfigQ14willbe

(A)A A

t t t2

2 1

33

1

55+ - +

p

(sin sin sin .... )

(B)A A

t t t2

2 1

22

1

33+ - +

p

(cos cos cos .... )

(C)A A

t t t2

2 1

33

1

55+ - +

p

(cos cos cos .... )

(D)A A

t t t t2

2 1

33

1

33+ + + +

p

(sin cos sin cos .... )

Q15. Thepollzeroconfigurationofaphaseleadcompensatorisgivenby

(A) (B)

(C) (D)

Q16. Whiledesigningcontroller,theadvantageofpolezerocancellationis

(A)Thesystemorderisincreased

(B)Thesystemorderisreduced

(C)Thecostofcontrollerbecomeslow

(D)Systemserrorreducedtooptimumlevels

4 Paper-2

s

jw

s

jw

s

jw

s

jw

2 2

-p p

x t( )

p

t-p

AFigQ14


Q17. Assertion(A): PSKisinferiortoFSK.

Reason(R): PSKrequirelessbandwidththanFSK.

Choosecorrectoption:

(A)Both A and R individuallytrueand R isthecorrectexplanationof A.

(B)Both A and R individuallytrueandbut R isnotthecorrectexplanationof A.

(C) A istruebut R isfalse

(D) A isfalse

Q18. In a certain telemetry system, the measured values are converted to digital form. The digital values can then

be transmitted via FSK (binary or quaternary) , or BPSK or QPSK systems. Out of these the best noise

immunitycanbeobtainedwith

(A)binaryFSK (B)quaternaryFSK

(C)BPSK (D)QPSK

Q19. An antenna, when radiating, has a highly directional radiation pattern. When the antenna is receiving, its

radiationpattern

(A)ismoredirective (B)islessdirective

(C)isthesame (D)exhibitsnodirectivityatall

Q20. The beamwidth between first null of uniform linear array of N equally spaced ( element spacing = d)

equallyexcitedantennaisdeterminedby

(A) N aloneandnotby d (B) d aloneandnotby N

(C)theratio N d (D)theproduct Nd

5 Paper-2


Q21. If A =

-

02

20

tan

tan

a

a

then ( )cos sin

sin cos

I A- -

a

a

a a

2 isequalto

(A) I A+ (B) I A-

(C) I A+ 2 (D) I A- 2

Q22. Forwhatvalueof x x02

p

,thefunction yx

x=

+( tan )1hasamaxima?

(A) tan x (B)0

(C) cot x (D) cos x

Q23. Thevalueoff x

f x f a xdx

a( )

( ) ( )+ - 20

2

is

(A)0 (B)1

(C) a (D) 2a

Q24. Theintegratingfactorforthedifferentialequation ( )x xy dx y dy3 4 32 0+ + = isgivenby

(A) e x- (B) e x2

(C) e x (D) e x-2

Q25.cos

?pz

zdz

c-

=

1wherecisthecircle z = 3

(A) i2p (B) - i2p

(C) i6 2p (D) - i6 2p

Q26. If3isthemeanand 32

isthestandarddeviationofabinomialdistribution,thenthedistributionis

(A)3

4

1

4

12

+

(B)1

2

3

2

12

+

(C)4

5

1

5

60

+

(D)1

5

4

5

5

+

6 Paper-2

QuestionsQ21.toQ75.carrytwomarkseach.


Q27. Forthedifferentialequation dy dx x y= - 2 giventhat

x: 0 0.2 0.4 0.6

y: 0 0.02 0.0795 0.1762

UsingMilnepredictorcorrectionmethod,the y atnextvalueof x is

(A)0.2498 (B)0.3046

(C)0.4648 (D)0.5114

Q28. TheinverseFouriertransformof X jd

d( )

sin sinw

w

w w

w

=

4 4 2is

(A) t e tt2 2 2 4- -- rect { ( )}

(B) t e tt2 2 2 4+ +- rect ( ( ))

(C) - + + -t t t{ ( ) ( )}rect rect2 8 2 8

(D) t t t{ ( ) ( )}rect rect2 4 2 8+ - -

Q29. Thetimesignal x t( ) correspondingto X s sd

ds s s( ) =

+

+

+

2

2 2

1

9

1

3is

(A) et

tt

t u tt- + +

322

33

93sin cos ( )

(B) ( sin cos ) ( )e t t t t u tt- + +3 22 3 3

(C) et

t t t u tt- + +

3 22

33 3sin cos ( )

(D) ( sin cos ) ( )e t t t t u tt- + +3 2 3 2 3

Q30. Theincidencematrixofagraphisasgivenbelow

A =-

- -

-

1 0 0 0 1 0 0 1

0 1 0 0 1 1 0 0

0 0 1 0 0 1 1 1

0 0 0 1 0 0 1 0

Thenumberofpossibletreeare

(A)40 (B)70

(C)50 (D)240

7 Paper-2


Q31. InthefigQ31thevalueof v1

is

(A)6V (B)7V

(C)8V (D)10V

Q32. Inthecircuitoffig.Q32the30Vsourcehasbeenappliedforalongtime.Theswitchisopenedat t =1

ms.At t = 4 msthe vC

( )4ms is

(A)8.39mV (B)2.59V

(C)1.13mV (D)2.77V

Q33. Fora RLC seriescircuit R L= =20 06W , . H,thevalueof C willbe

[CD=criticallydamped,OD=overdamped, UD =underdamped].

CD OD UD

(A) C = 6 mF C > 6mF C < 6mF

(B) C = 6 mF C < 6mF C > 6 mF

(C) C > 6mF C = 6 mF C < 6 mF

(D) C < 6mF C = 6mF C > 6 mF

Q34. InthecircuitshowninFig.Q34 v( )0 8- = Vand i t tin

( ) ( )= 4d .The v tC

( ) for t 0 is

(A)164e t- V (B) 208e t- V

(C) 208 1 3( )- -e t V (D)164 3e t- V

8 Paper-2

1 W 1 W 3 W

2 W 6 W8V v1

+

2 W

6 W 18V

FigQ31

1kW

6.25kW 0.6 Fm 25kW

t=1ms

30 (- )Vu t vC

+

FigQ32

iin 20mF50 W vC

+

FigQ34

All questions are drawn from the book GATE ECE by R. K. Kanodia published by NODIA & COMPANY. For full solution refer the same.


Q35. Inthecircuitshowninfig.Q35,whenthevoltageV1

is10V,thecurrent I is1A.Iftheappliedvoltage

atport-2is100V,theshortcircuitcurrentflowingthroughatport1willbe

(A)0.1A (B)1A

(C)10A (D)100A

Q36. Thenetworkfunctionofcircuitshowninfig.Q36is HV

V j

o( ).

w

w

= =

+

1

4

1 001

Thevalueofthe C and A is

(A)10 mF,6 (B)5 mF,10

(C)5 mF,6 (D)10 mF,10

Q37. In germanium(ni

=

-2 4 1013 3. cm ) semiconductor at T = 300K, the acceptor concentrations is N a =1013

cm -3 anddonorconcentrationis Nd

= 0.Thethermalequilibriumconcentration p0

is

(A) 297 109. cm -3

(B) 268 1012. cm -3

(C) 295 1013. cm -3

(D) 2 4. cm -3

Q38. Asilicon(ni

=

-15 1010 3. cm ) pn junctionat T = 300 Khas Nd

=1014 cm -3 and N a =1017 cm -3 .The

built-involtageis

(A)0.63V (B)0.93V

(C)0.026V (D)0.038V

Q39. The maximum electric field in reverse-biased silicon pn junction is| |

E max = 3 105 V cm. The doping

concentration are Nd

= 4 1016 cm -3 and N a = 4 1017 cm -3 . The magnitude of the reverse bias voltage is

(A)3.6V (B)9.8V

(C)7.2V (D)12.3V

9 Paper-2

2kW 15kW

C AvC~vi vo

+

vC

+

FigQ36

V1

ILinear

Resistive

Network

FigQ35


Q40. A ideal n-channel MOSFET has parameters m n = 525 cm V s2

- , VTN

= 0 75. V, tox = 400 A . When

MOSFET is biased in the saturation region at VGS

= 5 V, the required rated current is ID sat( )

= 6 mA. The

requiredratioW L is

(A)14.7 (B)11.2

(C)9.61 (D)7.2

Q41. Fora n -channelenhancement-modeMOSFETtheparametersareVTN

= 08. V, =k n 8 mA V2and

W L = 5.Ifthetransistorisbiasedinsaturationregionwith ID

= 05. mA,thenrequired vGS

is

(A)1.68V

(B)2.38V

(C)4.56V

(D)3.14V

Q42. The cutin voltageforeachdiodeinfig.Q42isVg

= 06. V.Eachdiodecurrentis0.5mA.Thevalueof

R R1 2, and R

3willberespectively

(A)10kW,5kW,2.93kW (B)6kW,3kW,3.43kW

(C)5kW,6kW,4.933kW (D)6kW,8kW,6.43kW

Q43. Inthecircuitoffig.Q43 Zener voltageisVZ

= 5 Vand b =100.Thevalueof ICQ

andVCEQ

are

(A)12 47 43. , .mA V (B)12 47 5 7. , .mA V

(C)10 43 5 7. , .A V (D)10 43 43. , .A V

10 Paper-2

R1

+10V

-5V

+5V

0V

R2

R3

FigQ42

500 W

+12V

FigQ43


Q44. Thetransistorsinthecircuitoffig.Q44haveparameter VTN

= 08. V, =k n 40mA / V2 and l = 0.The

width-to-lengthratioof M2

is( )

W

L 21= .IfVo = 010. VwhenV i = 5 V,then ( )

W

L 1for M

1is

(A)47.5 (B)28.4

(C)40.5 (D)20.3

Q45. Inthecircuitoffig.Q45the CMRR oftheop-ampis60dB.Themagnitudeofthe v o is

(A)1mV (B)100mV

(C)200mV (D)2mV

Q46. Ifthe X and Y logicinputsareavailableandtheircomplements X and Y arenotavailable,theminimum

numberoftwo-input NAND requiredtoimplement X Y is

(A)4 (B)5

(C)6 (D)7

Q47. TherearefourBooleanvariables x x x1 2 3

, , and x4.Thefollowingfunctionaredefinedonsetsofthem

f x x x

g x x x

h x x

( , , ) ( , , )

( , , ) ( , , )

( , ,

3 2 1

4 3 2

4 3

3 4 5

1 6 7

=

=

S

S

m

m

x x fg2 1

, ) =

Then h x x x x( , , , )4 3 2 1

is

(A) Sm(3,12,13) (B) Sm(3,6)

(C) Sm(3,12) (D)0

11 Paper-2

M1

Vo

Vi

+5V

M2

FigQ44

RR

RR

2V

vo

1kW

1kW

100kW

100kW

FigQ45


Q48. The ideal inverter in fig. Q48 has a reference voltage of 2.5 V. The forward voltage of the diode is 0.75 V.

The maximum number of diode logic circuit, that may be cascaded ahead of the inverter without producing

logicerror,is

(A)3 (B)4

(C)5 (D)9

Q49. Considerthefollowingsetof8085 mPinstruction

MVI A,BYTE1

RLC

MOV B,A

RLC

RLC

ADD B

IfBYTE1=07H,thencontentofaccumulator,aftertheexecutionofprogramwillbe

(A)46H (B)70H

(C)38H (D)68H

Q50. Considertheexecutionofthefollowinginstructionby8085 mp

MVI H,01FFH

SHLD 2050H

Afterexecutionthecontentsofmemorylocation2050H,2051HandregistersH,Lwillberespectively

(A)01H, FFH, FFH,01H

(B) FFH,01H, FFH,01H

(C) FFH,01H,01H, FFH

(D)01H, FFH,01H, FFH

12 Paper-2

n StagesofDiodeLogic

Z

C

A

B

+5V +5V

+5V

D

+5VFigQ48


Q51. Thesystemshowninfig.Q51is

(A)Stableandcausal (B)Stablebutnotcausal

(C)Causalbutunstable (D)unstableandnotcausal

Q52. Thetransferfunctionofasystemisgivenas

H z

z

z z

( ) =

+

-

-

21

2

1

2

1

3

.

Considerthetwostatements

Statement(i) :Systemiscausalandstable.

Statement(ii) :Inversesystemiscausalandstable.

Thecorrectoptionis

(A)(i)istrue (B)(ii)istrue

(C)Both(i)and(ii)aretrue (D)Botharefalse

Q53. Acausal LTI filterhasthefrequencyresponse H j( )w showninfig.Q53.Fortheinputsignal x t e jt( ) = - ,

outputwillbe

(A) - -2 je jt (B) 2 je jt-

(C) 4pje jt- (D) - -4pje jt

13 Paper-2

H j( )w

w

j2

-j2

1-1

FigQ53

+

+

+

+

x n[ ] Dy n[ ]

y n-2[ ]D

-12

14

14

FigQ51


Q54. Thenumericvalueof a n

n

n

=

=

1

40willbe

(A)16

9(B)

9

4

(C)4

9(D)

9

16

Q55. Eachoftwosequence x n[ ] and y n[ ]hasaperiod N = 4.TheFScoefficientare

X X X X[ ] [ ] [ ] [ ]0 31

21

1

22 1= = = = And Y Y Y Y[ ], [ ], [ ], [ ]0 1 2 3 1=

TheFScoefficient Z k[ ] forthesignal z n x n y n[ ] [ ] [ ]= willbe

(A)6 (B) 6| |k

(C) 6 | |k (D) ej kp

2

Q56. A Routh tableisshownbelow.ThelocationofpoleonRHP, LHP andimaginaryaxisare

s 7 1 2 -1 -2

s 5 1 2 -1 -2

s 5 3 4 -1

s 4 1 -1 -8

s 3 7 8

s 2 -18 -21

s1 -9

s 0 -21

(A)1,2,4 (B)1,6,0

(C)1,0,6 (D)Noneoftheabove

Q57. Theopen-looptransferfunctionofa ufb controlsystemis

G sK s s

s s s( )

( )( )

( )=

+ +

+ +

1 2 1 4

2 82 2

Theposition,velocityandaccelerationerrorconstantsarerespectively

(A)0,0, 4K (B) 0 4, ,K

(C) , ,K

80 (D) , ,

K

8

14 Paper-2


Q58. Theforward-pathtransferfunctionofa ufb systemis

G sK s s

s s( )

( )( )

( )( )=

+ +

+ +

1 2

5 6

Thebreakpointsare

Break-in Breakaway

(A) -1.563 -5.437

(B) -5.437 -1.563

(C) -1.216 -5.743

(D) -5.743 -1.216

Q59. The Nyquist plotofasystemisshowninfig.Q59.Theopen-looptransferfunctionis

G s H ss

s s s( ) ( )

( )( )=

+

+ +

4 1

1 2 12

Theno.ofpolesofclosedloopsysteminRHPare

(A)0 (B)1

(C)2 D)4

15 Paper-2

Im

Re

10.64

w =

w= 0

FigQ59


Q60. Forthenetworkshowninfig.Q60.Theoutputis i tR

( ).Thestatespacerepresentationis

(A)&

&

v

i

v

iv

i

1

3

1

1

1 1

3 1

1

0

=

-

-

+

, iv

iR

=

[ ]4 1 1

3

(B)&

&

v

i

v

iv

i

1

3

1

3

1 1

3 1

1

0

=

- -

- -

+

, iv

iR

=

[ ]4 1 1

3

(C)&

&

v

v

v

vv

i

1

2

1

2

1 3

1 6

1

1

=

-

+

-

, iv

vR

=

[ ]1 4 1

2

(D)&

&

v

v

v

vv

i

1

2

1

2

1 3

1 6

1

1

=

-

+

-

, iv

vR

=

[ ]1 4 1

2

Q61. Thepowerspectraldensityofabandpasswhitenoise n t( ) is N 2 asshowninfig.Q61.Thevalueof n 2

is

(A) NB (B) 2NB

(C) 2pNB (D)NB

p

Q62. Inareceivertheinputsignalis100 mV,whiletheinternalnoiseattheinputis10 mV.Withamplification

theoutputsignalis2V,whiletheoutputnoiseis0.4V.Thenoisefigureofreceiveris

(A)2 (B)0.5

(C)0.2 (D)Noneoftheabove

Q63. 12signalseachband-limitedto5kHzaretobetransmittedoverasinglechannelbyfrequencydivision

multiplexing.If AM-SSB modulationguardbandof1kHzisused,thenthebandwidthofthe

multiplexedsignalwillbe

(A)131kHz (B)81kHz

(C)121kHz (D) 71kHz

16 Paper-2

wc-wc

4pBSX( )w

w

N

2

FigQ61

i1 iRv2

1F 1 W

1H1 W

vi

i3

4v1

v1

i2

FigQ60


Q64. A carrier wave of 1 GHz and amplitude 3 V is frequency modulated by a sinusoidal modulating signal

frequency of 500 Hz and of peak amplitude of 1 V. The frequency deviation is 1 kHz. The peak level of the

modulating wave form is changed to 5 V and the modulating frequency is changed to 2 kHz. The

expressionforthenewmodulatedwaveformis

(A) cos [ . cos ( )]2 10 25 4 106 3p p + t t

(B) cos [ cos ( )]2 10 5 4 106 3p p + t t

(C) 3 2 10 25 4 106 3cos [ . cos ( )]p p + t t

(D) 3 2 10 5 4 106 3cos [ cos ( )]p p + t t

Q65. Let message signal m t t( ) cos ( )= 4 103p and carrier signal c t t( ) cos ( )= 5 2 106p are used to generate a FM

signal. It the peak frequency deviation of the generated FM signal is three times the transmission

bandwidth of the AM signal, then the coefficient of the term cos ( ( ) )2 1008 103p t in the FM signal would

be

(A) 5 34

J ( ) (B)5

23

8J ( )

(C)5

24

8J ( ) (D) 5 6

4J ( )

Q66. Thecurlofvectorfield A u u= f + fr rr r

z zsin cos3 2 atpoint(5,90,1)is

(A)0 (B)12uq

(C) 6u r (D) 5u f

Q67. A 150 MHz uniform plane wave is normally incident from air onto a material. Measurements yield a SWR

of 3 and the appearance of an electric field minimum at 0.3l in front of the interface. The impedance of

materialis

(A) 502 641- j W (B) 641 502- j W

(C) 641 502+ j W (D) 502 641+ j W

Q68. The quarter-wave lossless 100W line is terminated by load ZL

= 210W. If the voltage at the receiving end is

60V,thevoltageatthesendingendis

(A)126V (B)28.6V

(C)21.3V (D)169V

Q69. An antenna can be modeled as an electric dipole of length 4 m at 3 MHz. If current is uniform over its

length,thenradiationresistanceoftheantennais

(A)1.974 W (B)1.263 W

(C)2.186 W (D)2.693 W

17 Paper-2


Q70. Anarraycomprisestwodipolesthatareseparatedbyhalfwavelength.Ifthedipolesarefedbycurrents,

thatare180 outofphasewitheachother,thenarrayfactoris

(A) sin cosp

q

p

4 4+

(B) cos cosp

q

p

4 2+

(C) cos cosp

q

p

2 2+

(D) sin cosp

q

p

2 2+

CommonDataQuestions

CommonDataforQuestionsQ.71-73:

Forthecircuitshowninfig.Q71-73transistorparametersareVTN

= 2 V, K n = 05. mA / V2 and l = 0.

Thetransistorisinsaturation.

Q71. If IDQ

istobe0.4mA,thevalueofVGSQ

is

(A)5.14V (B)4.36V

(C)2.89V (D)1.83V

Q72. Thevaluesof g m and ro are

(A)0.89 mS, (B)0.89 mS,0

(C)1.48 mS,0 (D)1.48 mS,

Q73. Thesmallsignalvoltagegain Av is

(A)14.3 (B) -14.3

(C) -8.9 (D)8.9

18 Paper-2

vo

vi

VGG

10kW

+10V

~

FigQ71-73


CommonDataforQuestionsQ74-75:

Considerthreecontinuous-timeperiodicsignalswhoseFourierseriesrepresentationareasfollows.

x t e

k

k

jk t

1

0

100 2

501

3( ) =

=

-

p

, x t k ek

jk t

2

100

100 2

50( ) cos== -

-

p

p

, x t jk

ek

jk t

3

100

100 2

50

2( ) sin=

= -

-

p

p

Q74. Theevensignalsare

(A) x t2( ) only

(B) x t2( ) and x t

3( )

(C) x t1( ) and x t

3( )

(D) x t1( ) only

Q75. Therealvaluedsignalsare

(A) x t1( ) and x t

2( )

(B) x t2( ) and x t

3( )

(C) x t3( ) and x t

1( )

(D) x t1( ) and x t

3( )

StatementforLinkedAnswerQuestions:Q76.andQ77:

Theparametersofan n -channelenhancement-modeMOSFETare VTN

= 08. V,W = 64mm, L = 4mm,

tox = 450 A , m n = 650 cm V s2

- .

Q76. Theconductionparameter K n is

(A)0.8 m VA 2

(B)0.8 mA V 2

(C)0.4 m VA 2

(D)0.4 mA V 2

Q77. IfV VGS DS

= = 3 V,thencurrent ID

is

(A)1.94mA

(B)2.87mA

(C)5.68mA

(D)3.84mA

19 Paper-2

LinkedAnswerQuestions:Q76.toQ85.carrytwomarkseach.


StatementforLinkedAnswerQuestions:Q78andQ79:

The8-bitleftshiftregisterand D-flip-flopshowninfig.Q78-79issynchronizedwithsameclock.The

D flip-flopisinitiallycleared.

Q78. Thecircuitactas

(A)Binaryto2scomplementconverter

(B)BinarytoGraycodeconverter

(C)Binaryto1scomplementconverter

(D)BinarytoExcess3codeconverter

Q79. IfinitiallyregistercontainsbyteB7,thenafter4clockpulsecontentsofregisterwillbe

(A)73 (B)72

(C)7E (D)74


Ablockdiagramisshowninfig.Q80-81.

Q80. Thetransferfunctionforthissystemis

(A)2 2 1

2 3 52s s

s s

( )+

+ +

(B)2 2 1

2 13 52s s

s s

( )+

+ +

(C)2 2 1

4 13 52s s

s s

( )+

+ +

(D)2 2 1

4 3 52s s

s s

( )+

+ +

20 Paper-2

b7 b6 b5 b4 b3 b1b2 b0

D Q

Q

CLK

FigQ78-79

+

+

1s

2

5

2s+R s1( ) C s2( )

FigQ80-81


Q81. Thepoleofthissystemare

(A) - 0 75 139. .j (B) - -0 41 609. , .

(C) - -05 167. , . (D) - 0 25 088. .j


Tentelemetrysignals,eachofbandwidth2kHz,aretobetransmittedsimultaneouslybybinaryPCM.

Themaximumtolerableerrorinsampleamplitudesis0.2%ofthepeaksignalamplitude.Thesignals

mustbesampledatleast20%abovethe Nyquist rate.Framingandsynchronizingrequiresan

additional1%extrabits.

Q82. Theminimumpossibledataratemustbe

(A)272.64 kbits/sec (B)436.32 kbits/sec

(C)936.64 kbits/sec (D)Noneoftheabove

Q83. Theminimumtransmissionbandwidthis

(A)218.16kHz (B)468.32kHz

(C)136.32kHz (D)Noneoftheabove


Inanair-filledwaveguide,aTEmodeoperatingat6 GHz has

Ex

a

y

bt zy =

-152

12sin cos sin ( )p p

w V m

Q84. Thecutofffrequencyis

(A)4.189 GHz (B)5.973 GHz

(C)8.438 GHz (D)7.946 GHz

Q85. Theintrinsicimpedanceis

(A)35.72 W (B)3978 W

(C)1989 W (D) 7144. W

21 Paper-2


AnswersPaper-2

1. (C) 2. (B) 3. (B) 4. (B) 5. (C)

6. (A) 7. (A) 8. (B) 9. (B) 10. (B)

11. (B) 12. (B) 13. (D) 14. (C) 15. (A)

16. (B) 17. (C) 18. (B) 19. (C) 20. (D)

21. (A) 22. (D) 23. (C) 24. (B) 25. (B)

26. (A) 27. (B) 28. (C) 29. (C) 30. (A)

31. (A) 32. (D) 33. (A) 34. (B) 35. (C)

36. (C) 37. (C) 38. (A) 39. (C) 40. (A)

41. (B) 42. (A) 43. (B) 44. (D) 45. (B)

46. (A) 47. (A) 48. (A) 49. (A) 50. (C)

51. (A) 52. (C) 53. (B) 54. (C) 55. (A)

56. (A) 57. (D) 58. (A) 59. (C) 60. (B)

61. (B) 62. (A) 63. (D) 64. (C) 65. (D)

66. (D) 67. (C) 68. (A) 69. (B) 70. (B)

71. (C) 72. (A) 73. (C) 74. (A) 75. (B)

76. (C) 77. (A) 78. (B) 79. (C) 80. (C)

81. (C) 82. (B) 83. (A) 84. (B) 85. (B)

22 Paper-2


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