EE Mock Test-1 Modes of Heat Transfer 3 Ac Theory Module04 Dc theory module 5885

8/13/2019 EE Mock Test-1 Modes of Heat Transfer 3 Ac Theory Module04 Dc theory module 5885

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Model est Paper - IGAEElectrical Engineering

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Q. 1 - Q. 25 carry one mark each.

Q.1 Unit step signal ( )u t is

(A) an energy signal(B) a power signal

(C) neither power signal nor energy signal

(D) both

Q.2 Poles of the Laplace transform are those complex points at which the transfer func-tion will be

(A) Zero (B) 1(C) Infinity (D) None

Q.3 A signal ( )x t is the sum of two sinusoids, one at frequency of 400 Hz and the otherat a frequency of 600 Hz. What should be the sampling rate of the signal ( )x t so that thediscrete time signal has a sinusoid of only one frequency ?

(A) 600 Hz (B) 500 Hz

(C) 1000 Hz (D) none of the above

Q.4 A /400kV V5 , 75kVAsingle-phase transformer has a series reactance of 0.12 pu. Thereactance in ohms referred to LV and HV sides are to be

(A) 40 , 0.256 (B) , 0.8 64

(C) 0.0 , .5 7 8125 (D) 8 , 0.16

Q.5

Trigger pulses in the CRO are used(A) to generate high voltage required for the CRT

(B) to synchronize the input with the time base generator

(C) to synchronize the input and the vertical amplifier

(D) to generate low voltages required for the CRT


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Q.6 Ifx

x x

2 0A == Gand 11

0

2A 1

- = Gthen the value of xis

(A) 1 (B) 2

(C) 21 (D) 4

Q.7 The maximum value oflog

x

xis

(A) 1 (B) e

(C) /e2 (D) /e1

Q.8 Identify the Newton-Raphson iteration scheme for finding the square root of 2.

(A) x x x21 2n n n1 = ++ c m (B) x x x21 2n n n1 = + c m

(C) xx2

xn

1 =+ (D) x x2n n1 = ++

Q.9 Let i 1= Then one value of iiis

(A) i (B) 1

(C) /2 (D) e 2-

Q.10( )

limsin

0

2

"

is

(A) 0.5 (B) 1

(C) 2 (D) Not defined

Q.11 The interval in which the Lagranges theorem is applicable for function ( )f xx1= is

(A) [ , ]1 1 (B) [ , ]2 3

(C) [ , ]3 3 (D) [ , ]2 2

Q.12 The differential equation " ( ) 'sin cosy x x y y x 3 5 3+ + = is

(A) Homogeneous


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(B) Not linear

(C) Second order linear

(D) None homogeneous with constant coefficient

Q.13 If a 3 Vbattery supplies 5 Aof current, then the amount of energy delivered in onehour will be equal to

(A) 54 kJ (B) 90 kJ

(C) 15 kJ (D) 60 kJ

Q.14 Consider the following circuits :

The planner circuits are

(A) 1 and 2 (B) 2 and 3

(C) 3 and 4 (D) 4 and 1

Q.15 When the load on a transmission line is a equal to the surge impedance loading

(A) the receiving end voltage is less than the sending end voltage.

(B) the sending end voltage is less than the receiving end voltage.

(C) the receiving end voltage is equal to the sending end voltage.

(D) none of these.


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Q.16 Which one of the following statements is correct ? Normally ZBUSmatrix is a

(A) Null matrix (B) Sparse matrix

(C) Full matrix (D) Unity matrix

Q.17 The conduction loss versus device current characteristic of a power MOSFET is bestapproximated by

(A) a parabola (B) a straight line

(C) a rectangular hyperbola (D) an exponentially decaying function

Q.18 Which of the following amplifiers has low input and output resistance ?

(A) Common base and common collector

(B) Common collector and common base

(C) Common base and common emitter

(D) Common emitter and common collector

Q.19 Referring to the Fig., the type of load is

(A) inductive load (B) resistive load

(C) dc motor (D) capacitive load

Q.20 For a given system, transfer function has symmetric pole and zero about the imagi-nary axis function s-plane. This system is

(A) Minimum phase (B) All pass


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(C) Non-Minimum phase (D) None of these

Q.21 A lot has 10% defective items. Ten items are chosen randomly from this lot. Theprobability that exactly 2 of the chose items are defective is

(A) 0.0036 (B) 0.1937

(C) 0.2234 (D) 0.3874

Q.22 A root of the equation x x3 5 03 = lies between 2 and 2.5. Its value after firstiteration as obtained by using Newton-Raphson method is

(A) 2.45 (B) 2.35

(C) 2.33 (D) 2.25

Q.23 A magnetic circuit with a cross-sectional area of cm20 2is to be operated at 0 Hz5 from a 120 Vrms supply. The number of turns required to achieve a peak magnetic fluxdensity of 1.8 Tin the core is

(A) 942 (B) 106

(C) 150 (D) 666

Q.24 In the voltage regulator circuit shown below, what will be the maximum value ofload current ?

(A) 2.5 mA (B) 0.9 mA(C) 1.6 mA (D) 3.4 mA

Q.25 For 1 VVBE= in the given circuit, what will be the current gain ^ h?


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(A) 20 (B) 14.5

(C) 49 (D) 30


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Q. 26 - Q. 55 carry two marks each.

Q.26 Consider the Zener regulator circuit shown below. If the cut in voltage for Ge is0.2 Vand Siis 0.7 V. What will be the output voltage V0^ h?

(A) 10 V (B) 10.2 V

(C) 9.8 V (D) 0.2 V

Q.27 If the transistor shown below is operating at saturation region, then what will be thebase current IB?

(A) 20 AIB = (B) 20 AI >B

(C) 20 mAIB = (D) 20 mAI >B

Q.28 For circuit shown below, if 5 VVCE= under quiescent condition, then the value of Rwill be


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(A) 5 M (B) 130 k

(C) 3 M (D) 4 M

Q.29 The test data obtained at the rated speed on a three-phase, Y-connected, synchro-nous generator are given as follows:

Short-circuit test: Field current 10 A=

Short-circuit current 200 A=

Open-circuit test: Field current 10 A=

Open-circuit voltage 1150 V=

The per-phase winding resistance is 0.6 . The per phase synchronous reactance of the

generator is equal to

(A) 3.26 (B) .725

(C) .3 37 (D) .3 92

Q.30 A 2.4 kV, 60 Hz, 3-phase synchronous motor operates at unity power factor. Now,the line voltage suddenly falls to 1.8 kVkeeping the exciting current constant. Considerthe following statements

1. Torque angle decreases

2. Developed mechanical power remains unchanged.

3. Torque angle increases

4. Developed mechanical power increases

Which of the following statements is/are true ?

(A) 1, 2 and 3 (B) 1, 3 and 4

(C) 1 and 2 (D) 2 and 3


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Q.31 A 120 V, 60 Hz, -connected, three-phase induction motor has following stator androtor impedances at standstill

Rstator (0.1 0.15) /j phase= + Rrotor (0.2 0.25) /j phase= +

The maximum power developed by the motor and the slip at which it occurs are respectively

(A) 28.8 kW, 0.66 (B) 43.2 kW, 0.25

(C) 9 kW, 0.25 (D) 27 kW, 0.286

Q.32 For the linear network shown below, V-Icharacteristic is also given in the figure.The value of Norton equivalent current and resistance respectively are

(A) 3 A, 2 (B) 6 , 2

(C) 6 A, 0.5 (D) 3 A, 0.5

Q.33 The circuit shown in the given figure is in steady state with switch Sopen.

If Scloses at t 0= , then current ( )i t for t 0> , will be

(A) a decreasing exponential (B) an increasing exponential

(C) oscillatory (D) constant

Q.34 Match List Iwith List IIand select the correct answer :

List I List II


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P. Precision 1. Te smallest change in the input quantity whichcan be detected with its certainty

Q. Accuracy 2. Closeness of the reading with its true value

R. Resolution 3. Measure of reproductibility of the measure-ments

S. StaticSensitivity

4. Ratio of innitesimal change sensitivity in out-put to innitesimal change in input

Codes:

P Q R S

(A) 2 3 1 4

(B) 3 2 4 1

(C) 3 2 1 4

(D) 2 3 4 1

Q.35 A wattmeter is connected as shown in figure. The wattmeter reads.

(A) Zero always

(B) Total power consumed by Z and Z1 2

(C) Power consumed by Z1

(D) Power consumed by Z2

Q.36 A 50 Hz, bar primary CT has a secondary with 300 turns. The resistance and reac-tance of secondary circuits are .1 3 and .0 8 respectively and it supplies a current of 5A. The core requires an equivalent of mmf of 90 AT for magnetization and 45 AT for corelosses. The actual ratio will be

(A) 317.1 (B) 307.6

(C) 320 (D) 309.4

Q.37 Consider the programming codes fed to a 8085 microprocessor.


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LDA 4201H

RLC

RLC

RLC

RLC

ANI F0HMOV C, A

LDA 4200H

ADD C

STA 4300H

STA 4300H

HLT

If the memory contents of 4200His 09 and 4201His 04, then the content of 4300Hwill be

(A) OCH (B) COH

(C) 49 H (D) 94 H

Q.38 Consider the following equations which can be derived from the ac bridges shown inthe fig. I and fig. II by assuming / .L L 0 1 = and R L= :

1. V Vo o1 2= 2. 0.05V Vo s1 =

3. 0.1V Vo s1 = 4. 0.05V Vo s2 =

5. 0.1V Vo s2 =

The correct derived equations from these figures of ac bridges are

(A) 1, 2 and 4 (B) 2, 4 and 5

(C) 2 and 5 (D) 1, 3 and 5

Q.39 A chopper operating at a fixed frequency is feeding an R-L load. As the duty ratioof the chopper is increased from 25% to 75%, the ripple in the load current


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(A) remains constant

(B) Decreases, reaches a minimum at 50% duty ratio and then increases

(C) Increases, reaches a maximum at 50% duty ratio and then decreases

(D) Keeps on increasing as the duty ratio increase

Q.40 Consider the system shown in figure below. The transfer function of the system willbe

(A)s1

1+

(B)s

s1 2

+^ h

(C)s

s1

+

(D)s1

12+^ h

Q.41 The open loop transfer function of a unity feedback system is G ss s

k

4=

+^ ^h h . If gain kis increased to infinity, then the corresponding damping ratio will be

(A) 2 (B) 1

(C) 3 (D) 0

Q.42 The eigen values of A3

4

4

5=

= Gare

(A) ,2 2 (B) ,2 2+

(C) ,1 1 (D) ,1 1+

Numerical Answer Questions

Q.43 The value of integral x dx5 30

1# i


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Q.44 In the Laurent series expansion of ( )f zz z1

12

1=

valid in the region z 2> ,

What is the coefficient ofz

12in the series?

Q.45

Consider the circuit shown in figure below. What will be the output voltage V0(involt) ?

Q.46 What is the Nyquist sampling rate (in Hertz) for the signal,

( )x t (100 ) 2 (150 )sin sinc ct t2 = +

Q.47 A single phase fully controlled bridge converter feeds an inductive load. Assume theload current to be constant and the firing angle is 45c. What is the input harmonic factor ?

Common Data Questions

Common Data for Questions 48 and 49:

Consider a two port network as shown in gure below.


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Q.48 The ABCD-parameter matrix for this network is

(A)5

8

8

13> H (B) 42 64> H(C)

7

4

12

7

> H (D)

6

4

4

2

> HQ.49 If the output terminal ( )2 2 l is short circuited then input impedance of the networkis

(A) 1.71 (B) 1.6

(C) 1.5 (D) 0.33

Common Data for Questions 50 and 51:

Consider a discrete time signal [ ]x nand its z-transform ( )X z given as

( )X z z z

z z2 3

52

2

=

+

Q.50 If ROC of ( )X z is z 1< , then signal [ ]x nwould be

(A) [ 2(3) ( 1) ] [ ]u n 1n n + (B) [2(3) ( 1) ] [ ]u nn n

(C) ( ) [ ] ( ) [ ]u n u n 2 3 1 1n n (D) [ ( ) ] [ ]u n2 3 1n +

Q.51 If ROC of ( )X z is z 3> , then signal [ ]x nwould be

(A) [ ( ) ( ) [ ]u n2 3 1n n (B) [ ( ) ( ) ] [ ]u n2 3 1 1n n +

(C) ( ) [ ] ( ) [ ]u n u n 2 3 1 1n n (D) [ ( ) ] [ ]u n2 3 1n +

Linked Answer Questions

Statement For Linked Answer Questions 52 and 53:The system shown in figure is supplying 50 MVA at 11 kV, 0.8 lagging power factor into

an infinite bus. The specifications of various system components are given as following

Generator : 60 MVA, 12 kV, 0.35 puXd =l

Transformers (each) : 80 MVA, 12/66 kV, 0.08 puX=

Line : Reactance 12 ohms, resistance negligible


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Q.52 If the base is chosen as 100 MVA, 12 kV, then per unit reactance diagram of thesystem is

Q.53 The post fault current through circuit breaker Ais

(A) 9.57 kA (B) 1.35 k,A

(C) 6.52 kA (D) 4.81 kA

Statement For Linked Answer Questions 54 and 55:


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Two generators G1and G2are to be operated in parallel to deliver a total current of 60 A.

Generator G1has a terminal voltage of 280 Von no-load and 240 Vwhen supplying 40 A

current. Similarly the second generator has a voltage of 300 Vwhen on no-load and 240 V

when supplying 50 Aof current.

Q.54 The output voltage of each generator will be

(A) 240 V (B) 238.2 V

(C) 271.7 V (D) 256.4 V

Q.55 The output power PG1and PG2delivered by generator G1and G2will be

(A) .6 .P P5 8 7kW, kWG G1 2= = (B) .6P P9 12kW, kWG G1 2= =

(C) 9.3P P kWG G1 2= = (D) 6 9.3P PkW, kWG G1 2= =


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General Aptitude (GA) Questions

Q. 56 - Q. 60 carry one mark each.

Q.56 The angles of a polygon are in arithmetic progression. If the smallest angle is 120cand the common difference is 10c, then how many sides does the polygon have ?

(A) 5 (B) 6

(C) 8 (D) Either (B) or (C)

Q.57 A corporation created by the federal government during the Great Depression, theTennessee Valley Authority (TVA) is responsible for flood control, must generate electric

power, and soil conservation.

(A) flood control, must generate electric power, and soil conservation.

(B) flood control, generating electric power, and for soil conservation.

(C) controlling floods, generating electric power, and soil conservation.

(D) flood control, the generation of electric power, and soil conservation.

Q.58 Choose the sentence that is the most clearly written and has the best construction.

(A) All the children got out their rugs and took a nap.

(B) All the children have gotten out their rugs and took a nap.

(C) All the children got out their rugs and have taken a nap.

(D) All the children gotten out their rugs and taken a nap.

Q.59

Choose the sentence that best combines the given sentences.The airport is called the Glynco Jetport. The airline reservations and travel systems refer

to its location as Brunswick, Georgia.

(A) Where the airport is called the Glynco Jetport, the airline reservations and travelsystems refer to the location as Brunswick, Georgia.

(B) But the airport is called the Glynco Jetport, the airline reservations and travel sys-tems refer to the location as Brunswick, Georgia.


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(C) Even though the airline reservations and travel systems refer to the location asBrunswick, Georgia, the airport is called the Glynco Jetport.

(D) When the airport is called the Glynco Jetport, the airline reservations refer to thelocation as Brunswick, Georgia, and the travel systems.

Q.60 Choose the best word to fill the blank.

Being able to afford this luxury car will ______ getting a betterpaying job.

(A) maximize (B) recombinant

(C) reiterate (D) necessitate

Q. 61 - Q. 65 carry two marks each.

Q.61 When we were learning to read, most of us learned to sound out words by syllables inorder to pronounce them. Syllables are parts of words that carry separate sounds, thoughthose sounds may be comprised of several letters. Every syllable must have a vowel sound.That vowel sound may be made up of more than one vowel letter. For instance, in the wordarraignment, the a and i together make the long a sound. The g is silent. Breaking wordsinto syllables is one of the best (18) ________ to divide and conquer longer words.

Based on the context of this passage, what is the best synonym for comprised?

(A) excluded (B) composed

(C) fashioned (D) produced

Q.62 If 20litres of chemical Xare added to 80litres of a mixture that is %10 chemicalXand %90 chemical Y, then what percentage of the resulting mixture is chemical X?

(A) %15 (B) %28

(C) %33 31 (D) %40

Q.63 In a group, the ratio of the number of boys to the number of girls is P. The ratio ofthe number of girls to the number of boys is Q, then P Q+ is always ?

(A) 1$ (B) 1#

(C) 2$ (D) 2>


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Q.64 Walking at 1 th101 of his usual speed, a man reaches his destination two minutes early.

What is the time taken by him to cover the same distance at his usual speed?

(A) 20minutes (B) 22minutes

(C) 24minutes (D) 18minutes

Q.65 During the year 2007 at Deluxe Vacuum Co., the East and West divisions had equalsales and the North sold the most. Which graph could be the graph of Deluxes yearlysales for 2007?

(A) 1 (B) 2

(C) 3 (D) 4


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ANSWER KEY EE MODEL ES PAPER - 1

1 2 3 4 5 6 7 8 9 10

(B) (C) (C) (A) (B) (C) (D) (A) (D) (A)

11 12 13 14 15 16 17 18 19 20(B) (C) (A) (A) (C) (C) (A) (A) (C) (B)

21 22 23 24 25 26 27 28 29 30

(B) (C) (C) (C) (B) (A) (B) (C) (A) (D)

31 32 33 34 35 36 37 38 39 40

(D) (C) (D) (C) (D) (B) (C) (A) (C) (D)

41 42 43 44 45 46 47 48 49 50

(D) (C) /13 10 1 8.07 300 0.482 (C) (A) (A)

51 52 53 54 55 56 57 58 59 60

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

(B) (B) (C) (B) (D)

For detailed Solutions of this test paperplease mail to [email protected]. Pleasemention your Name, College, Graduating

Year and GATE Roll Number in the mail.

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EE Mock Test-1 Modes of Heat Transfer 3 Ac Theory Module04 Dc theory module 5885

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