IES2002Paper-I

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PAPERI

1. A potential field is given by V = 3x 2y yz.Which of the following is NOT true?a. At the point (1, 0, -1), V and the

electric field E vanish

b. 2 1x y = is an equipotential line in thexy-lane

c. The equipotential surface V 8 passesthrough the point P(2, -1, 4)

d. A unit normal to the equipotentialsurface V = -8 at P is

( ) 0.83 0.55 0.07x y z + + 2. The relation between electric intensity E,

voltage applied V and the distance dbetween the plates of a parallel platecondenser isa. E = V/db. E = V dc. E = V/(d) 2 d. E = V (d) 2

3. Ohms law in point form in field theory

can be expressed asa. V = RIb. / J E = c. J E = d. / R l A =

4. The magnetic flux through each turn of a100 turn coil is (t 3 - 2t) milli-Weberswhere t is in seconds. The induced e.m.f.at t = 2s isa. 1Vb. -1Vc. 0.4 Vd. -0.4 V

5. If a vector field B is solenoidal, which of these is true?

a. . 0L B dl = b. . 0S B ds = c. 0B = d. . 0B

6. A medium behaves like dielectric whenthea. displacement current is just equal to

the conduction currentb. displacement current is less than the

conduction currentc. displacement current is much greater

than the conduction currentd. displacement current is almost

negligible

7. Two conducting coils 1 and 2 (identicalexcept that 2 is split) are placed in auniform magnetic field which decreases ata constant rate as in the figure. If theplanes of the coils are perpendicular to thefield lines, the following statements aremade:

1. an e.m.f. is induced in, the split coil 22. e.m.f. is are induced in both coils3. equal Joule heating occurs in both coils4. Joule heating does not occur in any

coilWhich of the above statements is/are true?a. 1 and 4b. 2 and 4c. 3 onlyd. 2 only

8. For linear isotropic materials, both E andH have the time dependence j t e andregions of interest are free of charge. Thevalue of H is given bya. E b. j E

c. E j E + d. E j E

I.E.S (OBJ) - 2002

ELECTRICAL ENGINEERING

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2 of 169. Which of the following equations is/are

not Maxwells equation(s)?

1. . lvJ t

=

2. .D lv =

3. . BE

t

=

4. . .E H dl E dst

= +

Select the correct answer using the codesgiven below:a. 2 and 4b. 1 alonec. 1 and 3d. 1 and 4

10. In free space

( ) ( )7

, 0.10 cos 4 10 xH z t t z T = A/M.The expression for ( ),E z t isa. ( ) ( )7, 37.7 cos 4 10 yE z t t z T = b. ( ) ( )7, 2.65 10 cos 4 10 zE z t t z T = c. ( ) ( )7, 37.7 cos 4 10 xE z t t z T = d. ( ) ( )7, 37.7 cos 4 10 yE z t t z T =

11.

Consider the arrangement of two equal andopposite charges of magnitude q separatedby an infinitesimal distance 1 as shown inthe figure given above. If r a is the unit

vector in the direction r and a is the unit

vector in the direction , the electric field at

the point P isa. 3 3

2 / cos / sin4 4r q q

a ar r

b. 3 32 / cos / sin4 4r q q

a ar r

+

c. 3 32 / cos / sin

4 4r q q

a ar r

+

d. 3 32 / cos / sin

4 4r q q

a ar r

12. A plane wave whose electric field is givenby E = 100 cos( t - 6 x ) z passesnormally from a material A having

4, 1r r = = and 0 = to a material Bhaving 9r = , 4r = and 0 = . Matchitems in List I with List II and select thecorrect answer:List IA. Intrinsic impedance of medium BB. Reflection coefficientC. Transmission CoefficientD. Phase shift constant of medium AList II1. 6 2. 80 3. 1/74. 8/7Codes;

A B C Da. 4 1 2 3b. 2 3 4 1c. 4 3 2 1d. 2 1 4 3

13. In free space ( ) ( ), 50 cos xE z t t z a = A/m and ( ) ( ), 5 /12 cos yH z t t z a = A/m. The average power crossing acircular area of radius 24 m in plane z =constant isa. 200 Wb. 250 Wc. 300 Wd. 350 W

14. A copper wire carries a conduction currentof 1.0 A at 50 Hz. For copper wire

0 0, , 5.8 10 = = = mho/m. Whatis the displacement current in the wire?a. 2.8 10 A

b.

4.8 10 Ac. 1 Ad. It cannot be calculated with the given

data15. If A and J are the vector potential and

current density vectors associated with a

coil, then .A Jdv has the units of a. Flux-linkageb. Powerc. Energy

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3 of 16d. Inductance

16. A transmission line has R, L G and Cdistributed paramenters per unit length of the line, is the propagation constant of the lines. Which expression gives thecharacteristic impedance of the line?

a. R j l

+

b. R j l

+

c. G j C

+

d. G j C R j L

++

17. Which of the following equations iscorrect?

a. 2

x x xa a a = b. ( ) ( ) 0x y y xa a a a + = c. ( ) ( )x y z x z ya a a a a a = d. . . 0r r a a a a + =

18. Match List I with List II and select thecorrect answer:List I (Term)

A. Curl ( )F = 0

B.

Div ( )F = 0C. Div Grad ( ) = 0D. Div div ( ) = 0List II (Type)1. Laplace equation2. Irrotational3. Solenoidal4. Not defined

A B C Da. 2 3 1 4

b. 4 1 3 2c. 2 1 3 4d. 4 3 1 2

19. Assuming the Fermi level E F to beindependent of temperature, E F may bedefined as the level with an occupancyprobability of a. 0%b. 50%c. 75%

d. 100%20. Which of the following has the greatest

mobility?a. Positive ionb. Negative ionc. Electrond. Hole

21. Match List I (Type of the material) withList II (Name of thfe material) and selectthe correct answer:List IA. Ferroelectric materialB. Piezoelectric materialC. Soft magnetic materialD. Hard magnetic materialList II1. Permalloy

2.

BaTiO 3 ceramic3. KH 2PO 4 4. Tungsten steelCodes;

A B C Da. 3 2 1 4b. 1 4 3 2c. 3 4 1 2d. 1 2 3 4

22. On the application of the field E , themodified field due to polarization P insolids and liquids having cubic symmetryis given by

a. 0

PE

+

b. 0

PE

c. 03

PE

+

d. 03

PE

23. The complex dielectric constant of amaterial is given by the expression :

' "j = If a parallel plate capacitor with area Aand separationd is formed with thismaterial as a dielectric, the loss factor willbea. ( ) ( )' / "A d b. "/ '

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4 of 16c. ( ) ( )1tan ' / "A d

d. ( ) ( )1tan " / 'A A 24. At optical frequencies, the major

contribution to the total polarization comesfroma. space charge polarizationb. orientation polarizationc. ionic polarizationd. electronic polarization

25. Which of the following insulatingmaterials has the least affinity formoisture?a. Cottonb. Paperc. Asbestosd. Mica

26.

Which of the following statements is NOTtrue?a. Superconductors show perfect

diamagnetismb. Superconductors have almost zero

resistivityc. The external magnetic field has no

effect on superconductorsd. Entropy increases on going from

superconducting state to normal state27. The transition temperature of Mercury at

which it becomes superconductive isa. 4.12Fb. 4.12Cc. 4.12 Kd. 41.2 K

28. de Brogue wavelength associated with amaterial particle isa. inversely proportional to its energyb. directly proportional to its momentumc. directly proportional to its energyd. inversely proportional to its

momentum29. Which one of the following materials can

not be used for permanent magnets?a. Alnicob. Barium Ferritec. Carbon-steeld. Iron-Cobalt alloy

30. Upto about 4% silica is added in iron to beused as a soft magnetic material. Themajor reason for this is to

a. increase permeability of the materialb. increase electrical resistivity of the

materialc. increase the coercive forced. increase the saturation flux density

31. Which of the following is piezoelectricmaterial?

a. Quartzb. Silica sandc. Corundumd. Polystyrene

32.

The resistance seen from the terminals Aand B of the device whose characteristic isshown in the figure isa. 5 b. 1/5 c. 1/5 d. 5

33. The Fig. 1 shows a network, in which thediode is an ideal one.

the terminal v I characteristics of thenetwork is given bya.

b.

c.

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d.

34.

The current through 120 ohm resistor inthe circuit shown in the figure isa. 1 Ab. 2 Ac. 3 Ad. 4 A

35.

The v-i characteristic of an element isshown in the figure given above. Theelement isa. non-linear, active, non-bilateralb. linear, active, non-bilateralc. non-linear, passive, non-bilaterald. non-linear, active, bilateral

36. If the combined generator and. lineimpedance is (5 + j10) ohm, then for themaximum power transfer to a loadimpedance from a generator of constantgenerated voltage, the load impedance isgiven by which, one of the followinga. (5 + j 10) b. (5 - j 10) c. (5 + j 5) d. 5

37. Superposition theorem is hot applicable fora. voltage calculationb. bilateral elementsc. power calculationsd. passive elements

38.

For the circuit given in figure above thepower delivered by the 2 volt source isgiven bya. 4 Wb. 2 Wc. 2 Wd. 4 W

39.

The (y) parameters of the network given inFig. 1 are given by

a. 1 1

1 11 1

1 1

R R

R R

b. 1

11 1

1 1

0 R

R R

c. 1

1 0

0 0

R

d. 1

11

1

0

0

R

R

40. The impulse response of an LTI system isgiven by 5u (t). If the input to the system is

given by -t

then the output of the systemis given by

a. ( ) ( )15 1 u t b. ( ) ( )11 5 u t c. ( )11 5 u t d. ( ) 15u t

41.

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For the circuit shown in the given figure, if

C = 20 F, v(0-

) = - 50 V and dv (0-

)/dt =500 V/S, then R isa. 5 Kb. 3 Kc. 5 Kd. 10 K

42. In the circuit shown in the given figure, theswitch is closed at t = 0.

The current through the capacitor willdecrease exponentially with a timeconstanta. 0.5 sb. 1 sc. 2 sd. 10 s

43.

In the circuit shown in the given figure, theswitch is moved from position A to B attime t = 0. The current i through theinductor satisfies the following conditionsi(0) = - 8 A, di/dt (t = 0) = 3 A/s, i( ) = 4A.

The value of R isa. 0.5 ohmb. 2 ohmc. 4 ohmd. 12 ohm

44. In the given RC circuit, the current i(t) =2cos 5000 t A.

The applied voltage v(t) isa. 28.28 cos (5000 t 45) Vb. 28.28 cos (5000 t + 45) Vc. 28.28 sin (5000 t 45) Vd. 28.28 sin (5000 t + 45) V

45. In the circuit shown in the given figure,

The current through the inductor L isa. 0 Ab. 3 Ac. 4 Ad. 8 A

46. A parallel circuit consists of two branches.One branch has R L and L connected inseries and the other branch has R C and Cconnected in series. Consider thefollowing statements:1. The two branch currents will be in

quadrature if R L RC = L/C2. The impedance of the whole circuit is

independent of frequency, if R L = R C and = 1/ LC

3. The circuit is in resonance for all thefrequencies if R L = R C

a. The two branch currents will be nphase at = 1/ LC

Which of the above statements are correct?b. 1 and 2c. 2 and 3d. 1 and 3e. 3 and 4

47. Three currents i 1, i 2 and i 3 are approachinga node. If ( )1 10sin 400 60i t A= + , and

( )2 10sin 400 60i t A= then i 3 isa. 0b. ( )10 sin 400 t A c. ( )10 sin 400 t A

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7 of 16d. ( )5 3 3sin 400 t A

48. At resonant frequency a R-L-C seriescircuit draws maximum current due to thereason thata. the difference between capacitance

reactance and inductance reactance iszero

b. the impedance is more than theresistance

c. the voltage across the capacitor equalsthe applied voltage

d. the power factor is less than unity49.

In the given circuit, at resonance, I R inAmperes is equal toa. 0b. 10c. 5d. 0.5

50. Consider the following statements aboutthe quality factor of a R - L - C circuit:1. For the critically damped circuit, the

quality factor Q = 2. Higher the value of quality factor

higher will be the bandwidth of thecircuit

3. Higher the value of quality factorlower will be the bandwidth of thecircuit

4. For under damped circuits the value of Q is greater than

Which of these statements are correct?a. 1 and 2b. 1 and 3c. 2 and 4d. 1, 3 and 4

51. When two - Wattmeter method of measurement of power is used to measurepower in a balanced three phase circuit; if the Wattmeter reading is zero, thena. power consumed in the circuit is zerob. power factor of the circuit is zeroc. power factor is unityd. power factor is 0.5

52. The inductance matrix of a system of twomutually coupled inductors shown in Fig.

1 is given by5 4

4 7L

=

When the inductors are connected asshown in Fug 2 the equivalent inductanceof the system is given bya. 20 Hb. 4 Hc. 16 Hd. 8 H

53. Consider the following statements aboutthe DArsonval Movement :1. It is best suited for d.c. current

measurement2. It responds to the average value of

current3. It measures the r.m.s. value of a.c.

currents4. It could he used for power

measurementsWhich of these statements is/are correct?a. Only 1b. 1 and 2c. 2 and 3d. 1, 2, 3 and 4

54. Two meters X and Y require 40 mA and

50 mA, respectively, to give full-scaledeflection, thena. sensitivity can not be judged with

given informationb. both are equally sensitivec. X is more sensitived. Y is more sensitive

55. What is the correct sequence of thefollowing types of ammeters andvoltmeters with increasing accuracy?1. Moving iron

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8 of 162. Moving-coil permanent magnet3. InductionSelect the correct answer using the codesgiven belowa. 1, 3, 2b. 1, 2, 3c. 3, 1, 2d. 2, 1, 3

56. The total current I = I 1 + I 2 in a circuit ismeasured as 1 2150 , 250 2I IA I A= = ,where the limits of error are given asstandard deviations. I is measured asa. (400 3)Ab. (400 2.24) Ac. (400 1/5) Ad. (400 1) A

57. Match List I with List II and select the

correct answer e:List I (Device/network)A. Twin-T network B. Shielded decade capacitance boxC. Wagner earthing arrangementD. Inter bridge transformerList II (Application)1. For use in accurate a.c. bridge2. For realizing frequency selective

amplifier3. To match impedance and block d.c.

noise in a.c. bridge4. For minimizing earth capacitance

leakageA B C D

a. 2 1 4 3b. 3 4 1 2c. 2 4 1 3d. 3 1 4 2

58. For the bridge shown in the given figure,

at balance the values of R x , C x and Q x willbea. Rx = C 1R2/C3, C x = R 1C3/R2, Q x =

C1R1

b. Rx = C 1R2/C3, C x = R 1C3/R2, Q x =1/ C1R1

c. Rx = C 1R1/C3, C x = R 2C3/R1, Q x =1/ C1R1

d. Rx = C 1R1/C3, C x = R 2C3/R1, Q x=C1R1

59. The reflecting mirror mounted on themoving coil of a vibration galvanometer isreplaced by a bigger size mirror. This willresult ina. lower frequency of resonance & lower

amplitude of vibrationb. lower frequency of resonance but the

amplitude of vibration is unchangedc. higher frequency of resonance & lower

amplitude of vibrationd. higher frequency of resonance but the

amplitude of vibration is unchanged

60. Consider the following statementsassociated with moving iron instruments1. These can be used in d.c. as well. a.c.

circuits2. The scale is non-uniform3. The moving iron is placed in a field. of

a permanent magnetWhich of these statements are correct?a. 1, 2 and 3b. 1 and 2c. 2 and 3d. 1 and 3

61. A screen pattern oscillogram, shown in thegiven figure is obtained when a sine-wavesignal of unknown frequency is connectedto the vertical input terminals, and at thesame time, a 600 Hz sine-wave voltage isconnected to the horizontal input terminalsof an oscilloscope

What is the value of unknown frequency?a. 300 Hzb. 400Hzc. 600Hzd. 900Hz

62. Which of the following statements is NOTcorrect for a storage type oscilloscope?

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9 of 16a. The storage target is a conductive

mesh covered with magnesiumfluoride.

b. Secondary emission electrons etch apositively charged pattern

c. The flood guns used for display, emitnigh velocity electrons

d. The flood guns are placed between thedeflection plates and storage target63. In an oscilloscope, two Lissajous figure

(X) and (Y) are observed. This indicatesthat ratio of vertical input signal frequencyto that of horizontal input frequency are

a. 5/3 for X and 3/2 for Vb. 3/2 for X and 5/3 for Yc. 5/3 for X and 5/3 for Yd. 3/2 for X and 3/2 for Y

64. A spring controlled moving iron voltmeterdraws a current of 1 mA for full scalevalue of 1000 V. If it draws a current of 0.5 mA, the meter reading isa. 25 Vb. 50 Vc. 100 Vd. 200 V

65. In the measurement of power on balancedload by two-Wattmeter method in a 3-phase, circuit, the readings of theWattmeter are 3 kW and 1 kWrespectively, the latter being obtained afterreversing the connections to the currentcoil. The power factor of the load isa. 0.277b. 0.554c. 0.625d. 0.866

66. Two types of connections of Wattmeterpressure coil are shown in the figure,

The value of the Wattmeter current coilresistance r, which makes the connectionerrors the same in the two cases isa. 0.05 b. 0.1 c. 0.01 d. 0.125

67. In calibration of a dynamometerWattmeter by potentiometer, phantomloading arrangements is used becausea. The arrangement gives accurate resultsb. The power consumed in calibration

work is minimumc. The method gives quick resultsd. The onsite calibration is possible

68. The accuracy of Kelvins double bridgefor the measurement of low resistance ishigh because the bridgea. User two pairs of resistance armsb. Has medium value resistance in the

ratio armsc. Uses a low resistance link between

standard and test resistancesd. Uses a null indicating galvanometer

69. An imperfect capacitor is represented byacapacitance C in parallel with a resistanceR. The value of its dissipation facto tan is

a.

C Rb. 2 C Rc. 1/ 2 C Rd. 1/ C R

70. An energy-meter having a meter constantof 1200 rev per kWH is found to make 5revolutions in 75s. The load power isa. 500 Wb. 100 Wc. 200 Wd. 1000 W

71. Which one of the following statements isNOT true?a. Potentiometric Linear displacement

can give high output signalb. Linear variable differential transformer

has low output impedancec. Synchros and resolves have low

accuracyd. Eddy current proximity transducers are

non-contact type transducers

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10 of 1672. Match List I with List II and select the

correct answer:List I (Transducer)A. Mercury in glass thermometerB. Platinum resistance thermometerC. Thermocouple with led compensation,D. Optical radiation pyrometerList II (Range of temperature)1. Can be used upto 300C in normal

conditions2. Can be used upto 900C with sufficient

accuracy3. Can be used upto 1400C4. Can be used for temperatures upto

several thousand degreesA B C D

a. 3 2 1 4b. 1 4 3 2c. 3 4 1 2d. 1 2 3 4

73. Match list I with List II and select thecorrect answerList I (Instrument)A. McLeod gageB. Turbine meterC. PyrometerD. SynchrosList II (Measurand)1. Temperature2. Pressure.3. Flow4. Displacement

A B C Da. 1 4 2 3b. 2 3 1 4c. 1 3 2 4d. 2 4 1 3

74. In a stroboscopic method of rotational

speed measurement of a machine shaft,N = the machine shaft speed of rotation of the shaft in revolutions 1mm.n = No. of paints on the circuit patternF = No of flash per mm.The speed of rotation N will bea. N = F + nb. N = F - nc. N = F/nd. N = F.n

75. To reduce the effect of noise level, 100sets of data are averaged. The averageddata set will have a noise level reduced bya factor of a. 10b. 10 2 c. 50 2 d. 100

76. Which of the following transducers isclassified as an active transducer?a. Metallic strain gaugeb. Capacitive microphonec. LVDTd. Piezoelectric transducer

77.

Which curve in the given figure representsresistance temperature characteristics of athermistor?a. Curve Ab. Curve Bc. Curve Cd. Curve D

78. A 1 cm piezoelectric transducer having ag-coefficient of 58 V/kg/m 2 is subjected toa constant pressure of 10 kg/m 2 for about15 minutes. The Piezo voltage developedby the transducer will bea. 116 mVb. 58 mVc. 29 mVd. 0 mV

79. If K is the number of parity bits providedwith a message, the numbers of errors

which can be detected are?a. Kb. K 1c. K + 1d. dependent upon the number of bits in.

the message also80. Which of the following are the

characteristics of closed- loop systems?1. It does not compensate for

disturbances

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11 of 162. It reduces the sensitivity of plant-

parameter variations3. It does not involve output

measurements4. It has the ability to control the system

transient responseSelect the correct answer using the codes

given below:a. 1 and 4b. 2 and 4c. 1 and 3d. 2 and 3

81.

The number of forward paths and thenumber of non-touching loop pairs for thesignal flow graph given in the figure arerespectively,a. 1, 3b. 3, 2c. 3, 1d. 2, 4

82. List I and List II show the transfer functionand polar plots respectively. Match List Iwith list II and select the correct answer:List I

A. ( )

11s sT +

B. ( )( )1 2

11 1sT sT + +

C. ( )( )1 2

11 1s sT sT + +

D. ( )( )2 1 2

1

1 1s sT sT + +

List II1.

2.

3.

4.

Codes;A B C D

a. 2 1 4 3b. 3 4 1 2

c. 2 4 1 3d. 3 1 4 2

83. Match List I with List II and select thecorrect answer:List I (Property)A. Relative stabilityB. Speed of responseC. AccuracyD. SensitivityList II (Specification)

1.

Rise time2. Velocity error constant3. Return difference4. M-peak Codes;

A B C Da. 4 3 2 1b. 2 1 4 3c. 4 1 2 3d. 2 3 4 1

84. Given the transfer function

( ) 12113.2 121

G ss s

=+ + of a system. Which

of the following characteristics does ithave?a. Over damped and settling time 1.1sb. Under damped and settling time 0.6sc. Critically damped and settling time

0.8sd. Under damped and settling time 0.707s

85.

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The steady-state error resulting from aninput r(t) = 2 +3t + 4t 2 for given state isa. 2.4b. 4.0c. Zerod. 3.2

86. If a ramp input is applied to Type-2system, the steady- stage error isa. positive constantb. negative constantc. zerod. positive infinity

87. Identify the correct root locus from thefigures given below referring to poles andzeros at j 8 and j 10 respectively of G(s) H(s) of a single-loop control system.a.

b.

c.

d.

88. Which of the following are thecharacteristics of the root locus of

( ) ( )( )( )

5

1 3

K sG s

s s

+=+ +

1. It has one asymptote2. It has intersection with j w-axis

3.

It has two real axis intersections4. It has two zeros at infinitySelect the correct answer using the codesgiven belowa. 1 and 2b. 2 and 3c. 3 and 4d. 1 and 3

89.

The closed loop system shown abovebecomes marginally stable if the constantK is chosen to bea. 10b. 20c. 30d. 40

90.

Consider the Nyquist diagram for givenKG(s) H(s). The transfer functionKG(s)H(s) has ho poles and zeros in theright half of s-plane. If the (-1, j0) point islocated first in region I and then in regionII, the change in stability of the systemwill be froma. unstable to stableb. stable to stablec. unstable to unstabled. stable to unstable

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13 of 1691. The characteristic equation of a system is

given by 4 3 23 10 5 2 0s s s+ + + = . Thissystem isa. Stableb. Marginally stablec. Unstabled. Neither (a), (b) not (c)

92. Match List I with List II and select thecorrect answer:List IA. Phase lag controllerB. Addition of zero at originC. Derivative output compensationD. Derivative errorList II1. Improvement in transient response2. Reduction in steady-state error

3. Reduction in settling time4. Increase in damping constantCodes;

A B C Da. 4 3 1 2b. 2 4 3 4c. 4 1 3 2d. 2 3 1 4

93. Indicate which one of the followingtransfer functions represents phase leadcompensator?

a. 12

ss

++

b. 6 36 2

ss

++

c. 53 2ss

++

d. 85 6

ss s

++ +

94. A transfer function of a control systemdoes not have pole-zero cancellation.Which one of the following statements istrue?a. System is neither controllable nor

observableb. System is completely controllable and

observablec. System is observable but

uncontrollabled. System is controllable but

unobservable

95. A linear time invariant system is describedby the following dynamic equation

( ) ( ) ( )/ dx t dt Ax t Bu t = + ( ) ( )y t Cx t =

Where0 1

2 3A =

,0

1B =

, [ ]1 1C =

The system isa. Both controllable and observableb. Controllable but unobservablec. Observable but uncontrollabled. Both uncontrollable and unobservable

96. The state-space representation in phase-variable from for the transfer function

( ) 22 1

7 9s

G ss s

+=+ +

a. [ ]

0 1 0; 1 2

9 7 1x x u y x = + =

b. [ ]1 0 0

; 0 19 7 1

x x u y x = + =

c. [ ]9 0 0

; 2 01 7 1

x x u y x = + =

d. [ ]9 0 0

; 1 21 0 1

x x u y x = + =

97. Let1 2 0

0 1 1X X U = +

[ ]0Y b X = Where b is an unknown constantThis system isa. Observable for all values of bb. Unobservable for all values of bc. Observable for all non-zero values of bd. Unobservable for all non-zero values

of b98.

Select the correct transfer function( ) ( )0 1/ v s v s from the following for the

given network.

a. ( )

21s s +

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b. ( )2

ss +

c. ( )2 1

ss +

d. ( )

21

ss +

99. Which one of the following statements isINCORRECT with reference to pneumaticsystem?a. Operating pressure is low compared to

hydraulic systemb. Leaks can create problems as well as

fire hazardsc. They are insensitive to temperature

changesd. High compressibility of air results. in

longer time delays100. Consider the following statements

regarding A.C. servo- motor1. The torque-speed curve has negative

slope2. It is sensitive to noise3. The rotor has high resistance and low

inertia4. It has slow accelerationWhich of the following are thecharacteristics of A.C. servo-motor ascontrol component?a. 1 and 2b. 2 and 3c. 1 and 3d. 2 and 4

101. Backlash in a stable control system maycausea. under dampingb. over dampingc. high level oscillationsd. low level oscillations

102.

The describing function of relaynonlinearity is 4M/X : M = Magnitude of relay, X = Magnitude of input.

The describing function of givennonlinearity will be

a. 4MK x

b. 4M

K x

+

c. 2

4 1M K x

d. 4M Kx

103. Consider the following statements1. If the input is a sine wave of radian

frequency o, the output in general isnon-sinusoidal containing frequencieswhich are multiple of w

2. The jump resonance may occur3. The system exhibits self-sustained

oscillation of fixed frequency andamplitude

4. The response to a particular test signalis a guide to the behaviour to otherinputs

Which of the above statements are correctand peculiar to nonlinear system?a. 1, 3 and 4b. 2, 3 and 4c. 1, 2 and 3d. 1, 2 and 4

104. For the given sampled-data system

The z-transform isa.

b.

c.

d.

105. The output of first order hold between twoconsecutive sampling instants is aa. Constantb. Quadratic function

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15 of 16c. Ramp functiond. Exponential function

106. match List I with List II and select thecorrect answer:List I (Elements)A. ControllerB. SamplerC. HoldList II1. A/D convereter2. Computer3. D/A converter

A B Ca. 3 1 2b. 2 3 1c. 3 2 1d. 2 1 3

107. Assertion (A): . 0B ds = where B =magnetic flux density ds = vector withdirection normal to surface element ds.Reason (R): Tubes of magnetic flux haveno sources or sinks.a. Both A & B are true and R is the

correct explanation of Ab. Both A & R are true but R is NOT the

correct explanation of Ac. A is true but R is false

d.

A is false but R is true108. Consider a plane electromagnetic waveincident normally on the surface of a goodconductor. The wave has an electric fieldof amplitude 1 (V/m) and the skin depthfor the conductor is 10 cm.Assertion (A): The amplitude of electricfield is (1/e 2) (V/m) after the wave hastravelled a distance of 20 cm in theconductor.Reason (R): Skin depth is the distance inwhich the wave amplitude decays to (1/e)of its value at the surfacea. Both A & B are true and R is the


correct explanation of Ac. A is true but R is falsed. A is false but R is true

109. Assertion (A): When an alternating field isapplied to a dielectric, the relativepermittivity is a complex quantity.

Reason (R): The imaginary part of therelative permittivity is responsible fordielectric loss.a. Both A & B are true and R is the


correct explanation of A

c. A is true but R is falsed. A is false but R is true

110. Assertion (A): A doped semiconductorwill behave as a perfect insulator at zeroKelvin but its electrical conductivity willrise if the temperature is slowly increasedabove zero Kelvin.Reason (R): The rise in electricalconductivity is mainly, due to increasedionization as the temperature is raisedabove zero Kelvin.

a.

Both A & B are true and R is thecorrect explanation of Ab. Both A & R are true but R is NOT the


111. Assertion (A): Node-voltage analysis of networks is a method that used Kirchoffscurrent law to obtain a set of simultaneousequations that, when solved, will provideinformation concerning the magnitudesand phase angles of the voltages acrosseach branch.Reason (R): The ideal generator maintainsa constant voltage amplitude and wave-shape regardless of the amount of currentit supplied to the circuit.a. Both A & B are true and R is the



112. Assertion (A): All networks made up of passive, linear time invariant elements arereciprocal.Reason (R): Passivity and time-invarianceof elements do not guarantee reciprocity of the network.a. Both A & B are true and R is the


correct explanation of A

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16 of 16c. A is true but R is falsed. A is false but R is true

113. Assertion (A): Transfer impedance of network is always the reciprocal of itstransfer admittance.Reason (R): The impedance of a network is the reciprocal of its admittance.

a. Both A & B are true and R is thecorrect explanation of A

b. Both A & R are true but R is NOT thecorrect explanation of A


114. Assertion (A): There are pulsations inpower of a balanced three-phase system.Reason (R): The three-phase generatorsproduce sinusoidal voltages and current.a. Both A & B are true and R is the



115. Assertion (A): A full-wave rectifier typea.c. voltmeter reads the true rms value of the input wave4orm.Reason (R): The full wave rectifier typea.c. voltmeter has a rectifier unit firstwhich feeds its output to the PMMC

indicative instrument.a. Both A & B are true and R is the



116. Assertion (A): A four-arm Wien bridgenetwork is sometimes used in feedback circuit of tuned amplifier.Reason (R): The balance equation of sucha Wien bridge contains frequency termalong with arm parameters.a. Both A & B are true and R is the



117. Assertion (A): A spectrum analyzerdisplays the frequency spectrum of asignal on the CRT screen.Reason (R): It uses a sweep voltagegenerator to sweep the electron beam aswell as the input signal.a. Both A & B are true and R is the



118. Assertion (A): A system may have nosteady state error to a step input, but thesame system may exhibit non zero steadystate error to ramp input.Reason (R): The steady state error of asystem depends on the type of the open

loop transfer function.a. Both A & B are true and R is thecorrect explanation of A

b. Both A & R are true but R is NOT thecorrect explanation of A


119. Assertion (A): Relative stability o a systemreduces due to the presence of transportation lag.Reason (R): Transportation lag can be

conveniently handled by Bode plot.a. Both A & B are true and R is the



120. Assertion (A): If any one of the statevariables is independent of the control u(t),the process is said to be completelyuncontrollable.

Reason (R): There is no way of drivingthis particular state variable to a desiredstate in finite time by means of a controleffort.a. Both A & B are true and R is the



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