1 of 16PAPER–I

1. A potential field is given by V = 3x2y – yz.

Which of the following is NOT true?

a. At the point (1, 0, -1), V and the

electric field E vanish

b. x2 y 1 is an equipotential line in the

xy-lane

c. The equipotential surface V – 8 passes

through the point P(2, -1, 4)

d. A unit normal to the equipotential

surface V = -8 at P is

0.83xˆ 0.55yˆ 0.07zˆ

2. The relation between electric intensity E,

voltage applied V and the distance d

between the plates of a parallel plate

condenser is

a. E = V/d

b. E = V × d

c. E = V/(d)2

d. E = V × (d)2

3. Ohm’s law in point form in field theory

can be expressed as

a. V = RI

b. J E /

c. J E

d. R l / A

4. The magnetic flux through each turn of a

100 turn coil is (t3 - 2t) milli-Webers

where t is in seconds. The induced e.m.f.

at t = 2s is

a. 1V

b. -1V

c. 0.4 V

d. -0.4 V

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

these is true?

a. . 0 L B dl

b. . 0 S B ds

c. B 0

d. .B 0

6. A medium behaves like dielectric when

the

a. displacement current is just equal to

the conduction current

b. displacement current is less than the

conduction current

c. displacement current is much greater

than the conduction current

d. displacement current is almost

negligible

7. Two conducting coils 1 and 2 (identical

except that 2 is split) are placed in a

uniform magnetic field which decreases at

a constant rate as in the figure. If the

planes of the coils are perpendicular to the

field lines, the following statements are

made:

1. an e.m.f. is induced in, the split coil 2

2. e.m.f. is are induced in both coils

3. equal Joule heating occurs in both coils

4. Joule heating does not occur in any

coil

Which of the above statements is/are true?

a. 1 and 4

b. 2 and 4

c. 3 only

d. 2 only

8. For linear isotropic materials, both E and

H have the time dependence e jt and

regions of interest are free of charge. The

value of H is given by

a. E

b. j E

c. E j E

d. E j E

I.E.S (OBJ) - 2002

ELECTRICAL ENGINEERING

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9. Which of the following equations is/are

not Maxwell’s equation(s)?

1. .J lv

t

2. .D lv

3. .E B

t

4. H.dl E E .ds

t

Select the correct answer using the codes

given below:

a. 2 and 4

b. 1 alone

c. 1 and 3

d. 1 and 4

10. In free space

, 0.10cos 4 107 x H z t t z T A/M.

The expression for E z,t is

a. , 37.7 cos4 107 y E z t t z T

b. , 2.65 10cos4 107 z E z t t z T

c. , 37.7cos4 107 x E z t t z T

d. , 37.7 cos4 107 y E z t t z T

11.

Consider the arrangement of two equal and

opposite charges of magnitude q separated

by an infinitesimal distance 1 as shown in

the 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 is

a. 3 3

2 /cos /sin

4 r 4

q a q a

r r

b. 3 3

2 /cos /sin

4 r 4

q a q a

r r

c. 3 3

2 /cos /sin

4 r 4

q a q a

r r

d. 3 3

2 /cos /sin

4 r 4

q a q a

r r

12. A plane wave whose electric field is given

by E = 100 cos(t - 6 x ) ˆz passes

normally from a material ‘A’ having

4, 1 r r and 0 to a material ‘B’

having 9 r

, 4 r

and 0 . Match

items in List I with List II and select the

correct answer:

List I

A. Intrinsic impedance of medium ‘B’

B. Reflection coefficient

C. Transmission Coefficient

D. Phase shift constant of medium ‘A’

List II

1. 6

2. 80

3. 1/7

4. 8/7

Codes;

A B C D

a. 4 1 2 3

b. 2 3 4 1

c. 4 3 2 1

d. 2 1 4 3

13. In free space , 50cos x E z t t z a

A/m and , 5 /12 cos y H z t t z a

A/m. The average power crossing a

circular area of radius 24 m in plane z =

constant is

a. 200 W

b. 250 W

c. 300 W

d. 350 W

14. A copper wire carries a conduction current

of 1.0 A at 50 Hz. For copper wire

0 0 , , 5.8 10 mho/m. What

is the displacement current in the wire?

a. 2.8 × 10 A

b. 4.8 × 10 A

c. 1 A

d. It cannot be calculated with the given

data

15. 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-linkage

b. Power

c. Energy

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d. Inductance

16. A transmission line has R, L G and C

distributed paramenters per unit length of

the line, is the propagation constant of

the lines. Which expression gives the

characteristic 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 is

correct?

a. 2

x x x a a a

b. 0 x y y x a a a a

c. x y z x z y a a a a a a

d. . . 0 r r a a a a

18. Match List I with List II and select the

correct answer:

List I (Term)

A. Curl F = 0

B. Div F = 0

C. Div Grad () = 0

D. Div div () = 0

List II (Type)

1. Laplace equation

2. Irrotational

3. Solenoidal

4. Not defined

A B C D

a. 2 3 1 4

b. 4 1 3 2

c. 2 1 3 4

d. 4 3 1 2

19. Assuming the Fermi level EF to be

independent of temperature, EF may be

defined as the level with an occupancy

probability of

a. 0%

b. 50%

c. 75%

d. 100%

20. Which of the following has the greatest

mobility?

a. Positive ion

b. Negative ion

c. Electron

d. Hole

21. Match List I (Type of the material) with

List II (Name of thfe material) and select

the correct answer:

List I

A. Ferroelectric material

B. Piezoelectric material

C. Soft magnetic material

D. Hard magnetic material

List II

1. Permalloy

2. BaTiO3 ceramic

3. KH2PO4

4. Tungsten steel

Codes;

A B C D

a. 3 2 1 4

b. 1 4 3 2

c. 3 4 1 2

d. 1 2 3 4

22. On the application of the field E , the

modified field due to polarization P in

solids and liquids having cubic symmetry

is given by

a.

0

E P

b.

0

E P

c.

0 3

E P

d.

0 3

E P

23. The complex dielectric constant of a

material is given by the expression :

' j "

If a parallel plate capacitor with area ‘A’

and separation‘d’ is formed with this

material as a dielectric, the loss factor will

be

a. A ' / d "

b. "/ '

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c. tan1 A ' / d "

d. tan1 A " / A '

24. At optical frequencies, the major

contribution to the total polarization comes

from

a. space charge polarization

b. orientation polarization

c. ionic polarization

d. electronic polarization

25. Which of the following insulating

materials has the least affinity for

moisture?

a. Cotton

b. Paper

c. Asbestos

d. Mica

26. Which of the following statements is NOT

true?

a. Superconductors show perfect

diamagnetism

b. Superconductors have almost zero

resistivity

c. The external magnetic field has no

effect on superconductors

d. Entropy increases on going from

superconducting state to normal state

27. The transition temperature of Mercury at

which it becomes superconductive is

a. 4.12°F

b. 4.12°C

c. 4.12 K

d. 41.2 K

28. de Brogue wavelength associated with a

material particle is

a. inversely proportional to its energy

b. directly proportional to its momentum

c. directly proportional to its energy

d. inversely proportional to its

momentum

29. Which one of the following materials can

not be used for permanent magnets?

a. Alnico

b. Barium Ferrite

c. Carbon-steel

d. Iron-Cobalt alloy

30. Upto about 4% silica is added in iron to be

used as a soft magnetic material. The

major reason for this is to

a. increase permeability of the material

b. increase electrical resistivity of the

material

c. increase the coercive force

d. increase the saturation flux density

31. Which of the following is piezoelectric

material?

a. Quartz

b. Silica sand

c. Corundum

d. Polystyrene

32.

The resistance seen from the terminals A

and B of the device whose characteristic is

shown in the figure is

a. – 5

b. – 1/5

c. 1/5

d. 5

33. The Fig. 1 shows a network, in which the

diode is an ideal one.

the terminal v – I characteristics of the

network is given by

a.

b.

c.

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d.

34.

The current through 120 ohm resistor in

the circuit shown in the figure is

a. 1 A

b. 2 A

c. 3 A

d. 4 A

35.

The v-i characteristic of an element is

shown in the figure given above. The

element is

a. non-linear, active, non-bilateral

b. linear, active, non-bilateral

c. non-linear, passive, non-bilateral

d. non-linear, active, bilateral

36. If the combined generator and. line

impedance is (5 + j10) ohm, then for the

maximum power transfer to a load

impedance from a generator of constant

generated voltage, the load impedance is

given by which, one of the following

a. (5 + j 10)

b. (5 - j 10)

c. (5 + j 5)

d. 5

37. Superposition theorem is hot applicable for

a. voltage calculation

b. bilateral elements

c. power calculations

d. passive elements

38.

For the circuit given in figure above the

power delivered by the 2 volt source is

given by

a. 4 W

b. 2 W

c. – 2 W

d. – 4 W

39.

The (y) parameters of the network given in

Fig. 1 are given by

a.

1 1

1 1

1 1

1 1

R R

R R

b.

1

1

1 1

1 1

0 R

R R

c.

1

1 0

0 0

R

d.

1

1

1

1

0

0

R

R

40. The impulse response of an LTI system is

given by 5u (t). If the input to the system is

given by -t then the output of the system

is given by

a. 51 1 u t

b. 1 5 1 u t

c. 1 5 1u t

d. 5u t 1

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 is

a. 5 K

b. 3 K

c. 5 K

d. 10 K

42. In the circuit shown in the given figure, the

switch is closed at t = 0.

The current through the capacitor will

decrease exponentially with a time

constant

a. 0.5 s

b. 1 s

c. 2 s

d. 10 s

43. In the circuit shown in the given figure, the

switch is moved from position A to B at

time t = 0. The current i through the

inductor satisfies the following conditions

i(0) = - 8 A, di/dt (t = 0) = 3 A/s, i() = 4

A.

The value of R is

a. 0.5 ohm

b. 2 ohm

c. 4 ohm

d. 12 ohm

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

cos 5000 t A.

The applied voltage v(t) is

a. 28.28 cos (5000 t — 45°) V

b. 28.28 cos (5000 t + 45°) V

c. 28.28 sin (5000 t — 45°) V

d. 28.28 sin (5000 t + 45°) V

45. In the circuit shown in the given figure,

The current through the inductor L is

a. 0 A

b. 3 A

c. 4 A

d. 8 A

46. A parallel circuit consists of two branches.

One branch has RL and L connected in

series and the other branch has RC and C

connected in series. Consider the

following statements:

1. The two branch currents will be in

quadrature if RL RC = L/C

2. The impedance of the whole circuit is

independent of frequency, if RL = RC

and = 1/ LC

3. The circuit is in resonance for all the

frequencies if RL = RC

a. The two branch currents will be n

phase at = 1/ LC

Which of the above statements are correct?

b. 1 and 2

c. 2 and 3

d. 1 and 3

e. 3 and 4

47. Three currents i1, i2 and i3 are approaching

a node. If i1 10sin 400t 60 A , and

2 i 10sin 400t 60 A then i3 is

a. 0

b. 10sin 400t A

c. 10sin 400t A

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d. 5 3 3sin 400t A

48. At resonant frequency a R-L-C series

circuit draws maximum current due to the

reason that

a. the difference between capacitance

reactance and inductance reactance is

zero

b. the impedance is more than the

resistance

c. the voltage across the capacitor equals

the applied voltage

d. the power factor is less than unity

49.

In the given circuit, at resonance, IR in

Amperes is equal to

a. 0

b. 10

c. 5

d. 0.5

50. Consider the following statements about

the quality factor of a R - L - C circuit:

1. For the critically damped circuit, the

quality factor Q = ½

2. Higher the value of quality factor

higher will be the bandwidth of the

circuit

3. Higher the value of quality factor

lower will be the bandwidth of the

circuit

4. For under damped circuits the value of

Q is greater than ½

Which of these statements are correct?

a. 1 and 2

b. 1 and 3

c. 2 and 4

d. 1, 3 and 4

51. When two - Wattmeter method of

measurement of power is used to measure

power in a balanced three phase circuit; if

the Wattmeter reading is zero, then

a. power consumed in the circuit is zero

b. power factor of the circuit is zero

c. power factor is unity

d. power factor is 0.5

52. The inductance matrix of a system of two

mutually coupled inductors shown in Fig.

1 is given by

5 4

4 7

L

When the inductors are connected as

shown in Fug 2 the equivalent inductance

of the system is given by

a. 20 H

b. 4 H

c. 16 H

d. 8 H

53. Consider the following statements about

the D’Arsonval Movement :

1. It is best suited for d.c. current

measurement

2. It responds to the average value of

current

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

currents

4. It could he used for power

measurements

Which of these statements is/are correct?

a. Only 1

b. 1 and 2

c. 2 and 3

d. 1, 2, 3 and 4

54. Two meters X and Y require 40 mA and

50 mA, respectively, to give full-scale

deflection, then

a. sensitivity can not be judged with

given information

b. both are equally sensitive

c. X is more sensitive

d. Y is more sensitive

55. What is the correct sequence of the

following types of ammeters and

voltmeters with increasing accuracy?

1. Moving iron

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2. Moving-coil permanent magnet

3. Induction

Select the correct answer using the codes

given below

a. 1, 3, 2

b. 1, 2, 3

c. 3, 1, 2

d. 2, 1, 3

56. The total current I = I1 + I2 in a circuit is

measured as I1 150 IA, I2 250 2A,

where the limits of error are given as

standard deviations. I is measured as

a. (400 ± 3)A

b. (400 ± 2.24) A

c. (400 ± 1/5) A

d. (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 box

C. Wagner earthing arrangement

D. Inter bridge transformer

List II (Application)

1. For use in accurate a.c. bridge

2. For realizing frequency selective

amplifier

3. To match impedance and block d.c.

noise in a.c. bridge

4. For minimizing earth capacitance

leakage

A B C D

a. 2 1 4 3

b. 3 4 1 2

c. 2 4 1 3

d. 3 1 4 2

58. For the bridge shown in the given figure,

at balance the values of Rx , Cx and Qx will

be

a. Rx = C1R2/C3, Cx = R1C3/R2, Qx =

C1R1

b. Rx = C1R2/C3, Cx = R1C3/R2, Qx =

1/C1R1

c. Rx = C1R1/C3, Cx = R2C3/R1, Qx =

1/C1R1

d. Rx = C1R1/C3, Cx = R2C3/R1, Qx=

C1R1

59. The reflecting mirror mounted on the

moving coil of a vibration galvanometer is

replaced by a bigger size mirror. This will

result in

a. lower frequency of resonance & lower

amplitude of vibration

b. lower frequency of resonance but the

amplitude of vibration is unchanged

c. higher frequency of resonance & lower

amplitude of vibration

d. higher frequency of resonance but the

amplitude of vibration is unchanged

60. Consider the following statements

associated with moving iron instruments

1. These can be used in d.c. as well. a.c.

circuits

2. The scale is non-uniform

3. The moving iron is placed in a field. of

a permanent magnet

Which of these statements are correct?

a. 1, 2 and 3

b. 1 and 2

c. 2 and 3

d. 1 and 3

61. A screen pattern oscillogram, shown in the

given figure is obtained when a sine-wave

signal of unknown frequency is connected

to the vertical input terminals, and at the

same time, a 600 Hz sine-wave voltage is

connected to the horizontal input terminals

of an oscilloscope

What is the value of unknown frequency?

a. 300 Hz

b. 400Hz

c. 600Hz

d. 900Hz

62. Which of the following statements is NOT

correct for a storage type oscilloscope?

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a. The storage target is a conductive

mesh covered with magnesium

fluoride.

b. Secondary emission electrons etch a

positively charged pattern

c. The flood guns used for display, emit

nigh velocity electrons

d. The flood guns are placed between the

deflection plates and storage target

63. In an oscilloscope, two Lissajous figure

(X) and (Y) are observed. This indicates

that ratio of vertical input signal frequency

to that of horizontal input frequency are

a. 5/3 for X and 3/2 for V

b. 3/2 for X and 5/3 for Y

c. 5/3 for X and 5/3 for Y

d. 3/2 for X and 3/2 for Y

64. A spring controlled moving iron voltmeter

draws a current of 1 mA for full scale

value of 1000 V. If it draws a current of

0.5 mA, the meter reading is

a. 25 V

b. 50 V

c. 100 V

d. 200 V

65. In the measurement of power on balanced

load by two-Wattmeter method in a 3-

phase, circuit, the readings of the

Wattmeter are 3 kW and 1 kW

respectively, the latter being obtained after

reversing the connections to the current

coil. The power factor of the load is

a. 0.277

b. 0.554

c. 0.625

d. 0.866

66. Two types of connections of Wattmeter

pressure coil are shown in the figure,

The value of the Wattmeter current coil

resistance r, which makes the connection

errors the same in the two cases is

a. 0.05

b. 0.1

c. 0.01

d. 0.125

67. In calibration of a dynamometer

Wattmeter by potentiometer, phantom

loading arrangements is used because

a. The arrangement gives accurate results

b. The power consumed in calibration

work is minimum

c. The method gives quick results

d. The onsite calibration is possible

68. The accuracy of Kelvin’s double bridge

for the measurement of low resistance is

high because the bridge

a. User two pairs of resistance arms

b. Has medium value resistance in the

ratio arms

c. Uses a low resistance link between

standard and test resistances

d. Uses a null indicating galvanometer

69. An imperfect capacitor is represented bya

capacitance C in parallel with a resistance

R. The value of its dissipation facto tan

is

a. C R

b. 2 C R

c. 1/2 C R

d. 1/ C R

70. An energy-meter having a meter constant

of 1200 rev per kWH is found to make 5

revolutions in 75s. The load power is

a. 500 W

b. 100 W

c. 200 W

d. 1000 W

71. Which one of the following statements is

NOT true?

a. Potentiometric Linear displacement

can give high output signal

b. Linear variable differential transformer

has low output impedance

c. Synchros and resolves have low

accuracy

d. Eddy current proximity transducers are

non-contact type transducers

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72. Match List I with List II and select the

correct answer:

List I (Transducer)

A. Mercury in glass thermometer

B. Platinum resistance thermometer

C. Thermocouple with led compensation,

D. Optical radiation pyrometer

List II (Range of temperature)

1. Can be used upto 300°C in normal

conditions

2. Can be used upto 900°C with sufficient

accuracy

3. Can be used upto 1400°C

4. Can be used for temperatures upto

several thousand degrees

A B C D

a. 3 2 1 4

b. 1 4 3 2

c. 3 4 1 2

d. 1 2 3 4

73. Match list I with List II and select the

correct answer

List I (Instrument)

A. McLeod gage

B. Turbine meter

C. Pyrometer

D. Synchros

List II (Measurand)

1. Temperature

2. Pressure.

3. Flow

4. Displacement

A B C D

a. 1 4 2 3

b. 2 3 1 4

c. 1 3 2 4

d. 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 pattern

F = No of flash per mm.

The speed of rotation N will be

a. N = F + n

b. N = F - n

c. N = F/n

d. N = F.n

75. To reduce the effect of noise level, 100

sets of data are averaged. The averaged

data set will have a noise level reduced by

a factor of

a. 10

b. 10 2

c. 50 2

d. 100

76. Which of the following transducers is

classified as an active transducer?

a. Metallic strain gauge

b. Capacitive microphone

c. LVDT

d. Piezoelectric transducer

77.

Which curve in the given figure represents

resistance temperature characteristics of a

thermistor?

a. Curve A

b. Curve B

c. Curve C

d. Curve D

78. A 1 cm piezoelectric transducer having a

g-coefficient of 58 V/kg/m2 is subjected to

a constant pressure of 10’ kg/m2 for about

15 minutes. The Piezo voltage developed

by the transducer will be

a. 116 mV

b. 58 mV

c. 29 mV

d. 0 mV

79. If K is the number of parity bits provided

with a message, the numbers of errors

which can be detected are?

a. K

b. K – 1

c. K + 1

d. dependent upon the number of bits in.

the message also

80. Which of the following are the

characteristics of closed- loop systems?

1. It does not compensate for

disturbances

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2. It reduces the sensitivity of plantparameter

variations

3. It does not involve output

measurements

4. It has the ability to control the system

transient response

Select the correct answer using the codes

given below:

a. 1 and 4

b. 2 and 4

c. 1 and 3

d. 2 and 3

81.

The number of forward paths and the

number of non-touching loop pairs for the

signal flow graph given in the figure are

respectively,

a. 1, 3

b. 3, 2

c. 3, 1

d. 2, 4

82. List I and List II show the transfer function

and polar plots respectively. Match List I

with list II and select the correct answer:

List I

A.

1

s 1 sT

B. 1 2

1

1 sT 1 sT

C. 1 2

1

s 1 sT 1 sT

D. 2

1 2

1

s 1 sT 1 sT

List II

1.

2.

3.

4.

Codes;

A B C D

a. 2 1 4 3

b. 3 4 1 2

c. 2 4 1 3

d. 3 1 4 2

83. Match List I with List II and select the

correct answer:

List I (Property)

A. Relative stability

B. Speed of response

C. Accuracy

D. Sensitivity

List II (Specification)

1. Rise time

2. Velocity error constant

3. Return difference

4. M-peak

Codes;

A B C D

a. 4 3 2 1

b. 2 1 4 3

c. 4 1 2 3

d. 2 3 4 1

84. Given the transfer function

121

13.2 121

G s

s s

of a system. Which

of the following characteristics does it

have?

a. Over damped and settling time 1.1s

b. Under damped and settling time 0.6s

c. Critically damped and settling time

0.8s

d. Under damped and settling time 0.707s

85.

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The steady-state error resulting from an

input r(t) = 2 +3t + 4t2 for given state is

a. 2.4

b. 4.0

c. Zero

d. 3.2

86. If a ramp input is applied to Type-2

system, the steady- stage error is

a. positive constant

b. negative constant

c. zero

d. positive infinity

87. Identify the correct root locus from the

figures given below referring to poles and

zeros 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 the

characteristics of the root locus of

5

1 3

K s

G s

s s

1. It has one asymptote

2. It has intersection with j w-axis

3. It has two real axis intersections

4. It has two zeros at infinity

Select the correct answer using the codes

given below

a. 1 and 2

b. 2 and 3

c. 3 and 4

d. 1 and 3

89.

The closed loop system shown above

becomes marginally stable if the constant

K is chosen to be

a. 10

b. 20

c. 30

d. 40

90.

Consider the Nyquist diagram for given

KG(s) H(s). The transfer function

KG(s)H(s) has ho poles and zeros in the

right half of s-plane. If the (-1, j0) point is

located first in region I and then in region

II, the change in stability of the system

will be from

a. unstable to stable

b. stable to stable

c. unstable to unstable

d. stable to unstable

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91. The characteristic equation of a system is

given by3s4 10s3 5s2 2 0 . This

system is

a. Stable

b. Marginally stable

c. Unstable

d. Neither (a), (b) not (c)

92. Match List I with List II and select the

correct answer:

List I

A. Phase lag controller

B. Addition of zero at origin

C. Derivative output compensation

D. Derivative error

List II

1. Improvement in transient response

2. Reduction in steady-state error

3. Reduction in settling time

4. Increase in damping constant

Codes;

A B C D

a. 4 3 1 2

b. 2 4 3 4

c. 4 1 3 2

d. 2 3 1 4

93. Indicate which one of the following

transfer functions represents phase lead

compensator?

a. 1

2

s

s

b. 6 3

6 2

s

s

c. 5

3 2

s

s

d. 8

5 6

s

s s

94. A transfer function of a control system

does not have pole-zero cancellation.

Which one of the following statements is

true?

a. System is neither controllable nor

observable

b. System is completely controllable and

observable

c. System is observable but

uncontrollable

d. System is controllable but

unobservable

95. A linear time invariant system is described

by the following dynamic equation

dx t / dt Ax t Bu t

y t Cx t

Where

0 1

2 3

A

,

0

1

B

, C 1 1

The system is

a. Both controllable and observable

b. Controllable but unobservable

c. Observable but uncontrollable

d. Both uncontrollable and unobservable

96. The state-space representation in phasevariable

from for the transfer function

2

2 1

7 9

G s s

s s

a. 0 1 0

; 1 2

9 7 1

x x uy x

b. 1 0 0

; 0 1

9 7 1

x x uy x

c. 9 0 0

; 2 0

1 7 1

x x uy x

d. 9 0 0

; 1 2

1 0 1

x x uy x

97. Let

1 2 0

0 1 1

X X U

Y b 0 X

Where b is an unknown constant

This system is

a. Observable for all values of b

b. Unobservable for all values of b

c. Observable for all non-zero values of b

d. Unobservable for all non-zero values

of b

98.

Select the correct transfer function

0 1 v s / v s from the following for the

given network.

a.

2

s s 1

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b. 2

s

s

c. 2 1

s

s

d.

2

1

s

s

99. Which one of the following statements is

INCORRECT with reference to pneumatic

system?

a. Operating pressure is low compared to

hydraulic system

b. Leaks can create problems as well as

fire hazards

c. They are insensitive to temperature

changes

d. High compressibility of air results. in

longer time delays

100. Consider the following statements

regarding A.C. servo- motor

1. The torque-speed curve has negative

slope

2. It is sensitive to noise

3. The rotor has high resistance and low

inertia

4. It has slow acceleration

Which of the following are the

characteristics of A.C. servo-motor as

control component?

a. 1 and 2

b. 2 and 3

c. 1 and 3

d. 2 and 4

101. Backlash in a stable control system may

cause

a. under damping

b. over damping

c. high level oscillations

d. low level oscillations

102.

The describing function of relay

nonlinearity is 4M/X : M = Magnitude of

relay, X = Magnitude of input.

The describing function of given

nonlinearity will be

a. 4MK

x

b. K 4M

x

c.

4M 1 K2

x

d. 4M

Kx

103. Consider the following statements

1. If the input is a sine wave of radian

frequency o, the output in general is

non-sinusoidal containing frequencies

which are multiple of w

2. The jump resonance may occur

3. The system exhibits self-sustained

oscillation of fixed frequency and

amplitude

4. The response to a particular test signal

is a guide to the behaviour to other

inputs

Which of the above statements are correct

and peculiar to nonlinear system?

a. 1, 3 and 4

b. 2, 3 and 4

c. 1, 2 and 3

d. 1, 2 and 4

104. For the given sampled-data system

The z-transform is

a.

b.

c.

d.

105. The output of first order hold between two

consecutive sampling instants is a

a. Constant

b. Quadratic function

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c. Ramp function

d. Exponential function

106. match List I with List II and select the

correct answer:

List I (Elements)

A. Controller

B. Sampler

C. Hold

List II

1. A/D convereter

2. Computer

3. D/A converter

A B C

a. 3 1 2

b. 2 3 1

c. 3 2 1

d. 2 1 3

107. Assertion (A): B.ds 0 where B =

magnetic flux density ds = vector with

direction normal to surface element ds.

Reason (R): Tubes of magnetic flux have

no sources or sinks.

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

correct explanation of A

b. Both A & R are true but R is NOT the

correct explanation of A

c. A is true but R is false

d. A is false but R is true

108. Consider a plane electromagnetic wave

incident normally on the surface of a good

conductor. The wave has an electric field

of amplitude 1 (V/m) and the skin depth

for the conductor is 10 cm.

Assertion (A): The amplitude of electric

field is (1/e2) (V/m) after the wave has

travelled a distance of 20 cm in the

conductor.

Reason (R): Skin depth is the distance in

which the wave amplitude decays to (1/e)

of its value at the surface

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

correct explanation of A

b. Both A & R are true but R is NOT the

correct explanation of A

c. A is true but R is false

d. A is false but R is true

109. Assertion (A): When an alternating field is

applied to a dielectric, the relative

permittivity is a complex quantity.

Reason (R): The imaginary part of the

relative permittivity is responsible for

dielectric loss.

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

correct explanation of A

b. Both A & R are true but R is NOT the

correct explanation of A

c. A is true but R is false

d. A is false but R is true

110. Assertion (A): A doped semiconductor

will behave as a perfect insulator at zero

Kelvin but its electrical conductivity will

rise if the temperature is slowly increased

above zero Kelvin.

Reason (R): The rise in electrical

conductivity is mainly, due to increased

ionization as the temperature is raised

above zero Kelvin.

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

correct explanation of A

b. Both A & R are true but R is NOT the

correct explanation of A

c. A is true but R is false

d. A is false but R is true

111. Assertion (A): Node-voltage analysis of

networks is a method that used Kirchoff’s

current law to obtain a set of simultaneous

equations that, when solved, will provide

information concerning the magnitudes

and phase angles of the voltages across

each branch.

Reason (R): The ideal generator maintains

a constant voltage amplitude and waveshape

regardless of the amount of current

it supplied to the circuit.

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

correct explanation of A

b. Both A & R are true but R is NOT the

correct explanation of A

c. A is true but R is false

d. A is false but R is true

112. Assertion (A): All networks made up of

passive, linear time invariant elements are

reciprocal.

Reason (R): Passivity and time-invariance

of elements do not guarantee reciprocity of

the network.

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

correct explanation of A

b. Both A & R are true but R is NOT the

correct explanation of A

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c. A is true but R is false

d. A is false but R is true

113. Assertion (A): Transfer impedance of

network is always the reciprocal of its

transfer admittance.

Reason (R): The impedance of a network

is the reciprocal of its admittance.

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

correct explanation of A

b. Both A & R are true but R is NOT the

correct explanation of A

c. A is true but R is false

d. A is false but R is true

114. Assertion (A): There are pulsations in

power of a balanced three-phase system.

Reason (R): The three-phase generators

produce sinusoidal voltages and current.

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

correct explanation of A

b. Both A & R are true but R is NOT the

correct explanation of A

c. A is true but R is false

d. A is false but R is true

115. Assertion (A): A full-wave rectifier type

a.c. voltmeter reads the true rms value of

the input wave4orm.

Reason (R): The full wave rectifier type

a.c. voltmeter has a rectifier unit first

which feeds its output to the PMMC

indicative instrument.

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

correct explanation of A

b. Both A & R are true but R is NOT the

correct explanation of A

c. A is true but R is false

d. A is false but R is true

116. Assertion (A): A four-arm ‘Wien’ bridge

network is sometimes used in feedback

circuit of tuned amplifier.

Reason (R): The balance equation of such

a Wien bridge contains ‘frequency’ term

along with arm parameters.

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

correct explanation of A

b. Both A & R are true but R is NOT the

correct explanation of A

c. A is true but R is false

d. A is false but R is true

117. Assertion (A): A spectrum analyzer

displays the frequency spectrum of a

signal on the CRT screen.

Reason (R): It uses a sweep voltage

generator to sweep the electron beam as

well as the input signal.

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

correct explanation of A

b. Both A & R are true but R is NOT the

correct explanation of A

c. A is true but R is false

d. A is false but R is true

118. Assertion (A): A system may have no

steady state error to a step input, but the

same system may exhibit non zero steady

state error to ramp input.

Reason (R): The steady state error of a

system depends on the ‘type’ of the open

loop transfer function.

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

correct explanation of A

b. Both A & R are true but R is NOT the

correct explanation of A

c. A is true but R is false

d. A is false but R is true

119. Assertion (A): Relative stability o a system

reduces 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

correct explanation of A

b. Both A & R are true but R is NOT the

correct explanation of A

c. A is true but R is false

d. A is false but R is true

120. Assertion (A): If any one of the state

variables is independent of the control u(t),

the process is said to be completely

uncontrollable.

Reason (R): There is no way of driving

this particular state variable to a desired

state in finite time by means of a control

effort.

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

correct explanation of A

b. Both A & R are true but R is NOT the

correct explanation of A

c. A is true but R is false

d. A is false but R is true

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