gate ece model question paper solved 2
DESCRIPTION
gate preparationTRANSCRIPT
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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
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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
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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
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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
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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.
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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
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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.
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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.
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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
StatementforLinkedAnswerQuestions:Q80andQ81:
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
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Q81. Thepoleofthissystemare
(A) - 0 75 139. .j (B) - -0 41 609. , .
(C) - -05 167. , . (D) - 0 25 088. .j
StatementforLinkedAnswerQuestions:Q82andQ83:
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
StatementforLinkedAnswerQuestions:Q84andQ85:
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
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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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