EE Mock Test-3 Modes of Heat Transfer 3 Ac Theory Module04 Dc theory module 580

8/13/2019 EE Mock Test-3 Modes of Heat Transfer 3 Ac Theory Module04 Dc theory module 580

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Model Test Paper - IIIGATEElectrical Engineering

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Practice Paper-III EE

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

Q.1 Match list - I (State of operation of an N-MOSFET) with List - I I (Required condi-tion) and choose the correct option.

List - I List - II

P. OFF 1. V V>gs thandV V Vgs thandV V V>ds gs th-^ h

R. Non - linear 3. V V>gs th

S. Saturation region 4. V V


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Q.5 Consider the pole-zero configurations shown in figure below.

Which of the following networks correspond to above shown pole zero configuration ?

(A) Phase lead network (B) Phase lag network

(C) Phase lead-lag network (D) Non minimum phase network

Q.6 Consider the architecture of a two stage op-amp shown below.

The stage marked X is

(A) Direct coupled amplifier (B) Buffer amplifier

(C) Level shifter (D) Blocking oscillator

Q.7 A voltmeter reading 70 V on its 100 V range and an ammeter reading 80 mA on its150 mA range are used to determine the power dissipated in a resistor. Both these instru-ments are guaranteed to be accurate within . %15! , at full scale deflection. The limitingerror of the power is

(A) 3.00% (B) 4.956%

(C) 6.266% (D) 2.143%

Q.8 Consider a circuit shown in the figure below. The voltage across 5Wresistor is mea-sured to beVo. I f a finite resistance is connected in series with 5Asource, then value ofVo.


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(A) decreases (B) increases

(C) remains unchanged (D) none of these

Q.9 Which of the following has driving point impedance equal to ( ) / 2 0.25Z s s1= +^ h

Q.10 Which of the following signal is not periodic?

(A) (10 )sin t (B) 2 (5 )cos tp

(C) (10 ) ( )sin t u tp (D) none of these

Q.11 The time convolution of two functions ( )f t1 and ( )f t2 in frequency domain is equiva-lent to

(A) ( ) ( )f t f t 1 2* (B) ( ) ( )f t f t 21

1 2p *6 @

(C) ( ) ( )F j F j 1 2w w (D) ( ) ( )F F21

1 2p

w w*6 @

Q.12 Let [ ] ( ) 5 3 7x n X e e e D T F T j j j2= + +W W W- - , then sequence [ ]x n is

(A) { ,7,3}5-

(B) {5, ,7}3-

(C) {7, ,5}3-

(D) { ,3,7}5-


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Q.18 Let P and Q be square matrices such that PQ = I, then zero is an eigenvalue of

(A) P but not of Q

(B) Q but not of P

(C) Both P and Q

(D) neither P nor Q

Q.19 limx

e e 2x

x x

0 2+ -

"

-

is equal to

(A) 1 (B) 1-

(C) 1/2 (D) /1 2-

Q.20 The value of integral cos xdx/

2

0

2p

# is(A) p (B) 2p

(C) 4p (D) / 4p

Q.21 The residue of coszz1at z 0= is

(A) /1 3- (B) /1 2-

(C) /1 3 (D) /1 2

Q.22 In the circuit shown below average power absorbed by resistor is

(A) 16W (B) 6.4W

(C) 8W (D) 10W


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Q.23 Consider the BJ T circuit shown below. The type of feedback present in circuit is

(A) Voltage series (B) Voltage shunt

(C) Current series (D) Current shunt

Q.24 The DTFS coefficients of a signal [ ]x n are shown in figure below.

The value of [ ]x 0is

(A) 5 (B) 2

(C) 1 (D) 3

Q.25 In Boolean algebra, the value of 1 1+ is

(A) 10 (B) 0

(C) 1 (D) 11


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

Q.26 Consider the logic circuit with input xand ' '1shown below. I f the number of XOR gates connected in the circuit is 21, then output ywill be

(A) X (B) X

(C) 1 (D) 0

Q.27 Asynchronous counter shown in figure below is

(A) Mod-21 counter (B) Mod-22 counter

(C) Mod-20 counter (D) Mod-19 counter

Q.28 In the circuit shown in the figure the diode Dis assumed to be ideal. The switch isopened at t 0= prior to that the inductor carries an initial current. The voltage waveform

across the inductor is


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Q.29 Consider the MOSFET circuit shown below. The transconductance of M1and M2are respectively gm1and gm2. I f the channel length modulation and body effect for the giventopology is neglected, then the voltage gain A V will be


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(A)g R

g R

1 m Pm D

2

1

+ (B)

g R

g R

1 m Dm P

2

1

+

(C)g R

g R

1 m Dm P

1

2

+ (D)

g R

g g R R

1 m Pm m P D

2

1 2

+

Q.30 Matching List I(Device) with List II (Monolithic construction of) and select thecorrect answer using the code given below the lists :

List I List II

P. Triac 1. Two thyristors in anti-parallel

Q. Reverse conducting thyristor 2. A thyristor and a diode in anti-parallel

R. Diac 3. Two diodes in anti-parallel

Codes :

P Q R

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

(C) 2 3 1

(D) 3 1 2

Q.31 For the chopper circuit shown in the sure duty ratio is 0.3. What is the choppingfrequency to limit the amplitude of load current excursion to 8 A ?

(A) 699.30 Hz (B) 300 Hz

(C) 1000 Hz (D) 209.79 Hz

Q.32 Which of the following are true in respect of interpoles in dc machines ?

1. Reduce armature reaction effects in interpolar region.

2. Windings are connected in series with armature.

3. Have the same dimensions as main poles.

Select the correct answer using the code given below :


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

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

Q.33 A 1-f, 2400/ 240V, 120kVAtwo-winding transformer is re-configured as an auto-transformer shown in the figure. The efficiency of the two- winding transformer is 98%on full load at unity power factor. Which of the following statement is true regarding theefficiency of the auto-transformer on full load unity power factor ?

(A) The efficiency of the auto-transformer remains same as the two winding transformerthat is 98%

(B) The efficiency of the auto-transformer will be 99.77%

(C) The efficiency of the autotransformer will be 99.81%

(D) None of above

MCQ 34Consider the filter and the waveform of input Vishown in figure below.

The waveform of output V0is

(A) (B)


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(C) (D)

Q.35 Consider the MOSFET configuration shown below.

Which of the following waveform shows the correct relation between input and output

voltage for body bias effect.

(A) (B)

(C) (D)

Q.36 The reference voltage and the input voltage are sequentially connected to the inte-grator with the help of a switch in a

(A) Successive approximation A/ D converter

(B) Dual slope integration A/ D converter

(C) Voltage to time converter

(D) Voltage to frequency converter


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Q.37 A ring core transformer with ratio 1000/5 A is operating at full primary current andwith a secondary burden of non-inductive resistance of 1W. The exciting current is 1 A ata power factor of 0.4, what is the phase angle error ?

(A) .00228c (B) .00918c

(C) .00525c (D) .07580 c

Q.38 The set-up in the figure is used to measure resistance R.The ammeter and voltmeterresistances are 0.01Wand 2000 W, respectively. Their readings are 2 A and 180 V, respec-tively, giving a measured resistances of 90 WThe percentage error in the measurement is

(A) 2.25%

(B) 2.35%

(C) 4.5%

(D) 4.71%

Q.39 Consider the two circuits shown below. In circuit-I , M1is biased in saturation with adrain current equal to I1and the current source 0.75IIS 1= . If the gain of circuit-II is A V, then the gain of circuit-I will be

(A) A4 V (B) A2 V

(C) A V (D) A3 V


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Q.40 A random bit string of length is constructed by tossing a fair coin times and settinga bit to 0 or 1 depending on outcomes head and tail, respectively. T he probability that twosuch randomly generated strings are not identical is

(A) /1 2 (B)n

1 1-

(C) !n1 (D) 1

21

n-

Q.41 If the geometric mean of ,x 20 and 40 be 20, then the value of xis

(A) 4 (B) 10

(C) 20 (D) 40

Q.42 The DT system shown in the figure below is stable if

(A) a 2< (B) 1a (D) a 1=

Numerical Answer Questions

Q.43 The signal [ ] ( . ) [ ]x n u n 05 n= is when applied to a digital filter, it yields the followingoutput [ ]y n [ ] [ ]n n2 1d d= - - . I f impulse response of the filter is [ ]h n , then what will be

the value of sample [ ]h 1?

Q.44 Let ( , )u x t be the bounded solution of

tu

x

u2

2

2

2

2

2- 0= with ( , )u xe

e011

x

x

2

2

=+

-

What will be the value of ( , )limu t1t"3

?


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Q.45 Let A be a 3 3# matrix with eigen values, , ,1 1 0- . What is the determinant ofI A100+ ?

Q.46 Consider the op-amp circuit shown below. If the op-amps are ideal, then what willbe the output voltage V0(in volt) ?

Q.47 In the circuit below the switch closes at t 0= after being open for a long time. Whatwill be the value (in volts) of voltage ( )v t at t 0= +?

Common Data Questions

Common Data for Questions 48 and 49:A three-phase overhead line has a resistance and reactance of 5Wand 20W, respectively.

The load at the receiving-end is 30 MW, 0.85 power factor lagging at 33 kV.

Q.48 What is the value of sending-end line voltage VS ?

(A) 29.54 kV (B) 12.73 kV


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(C) 23.05 kV (D) 51.16 kV

Q.49 If it is desired to maintain a voltage of 33 kV at each end by adding a compensatingequipment at the receiving end, then the VAR rating of the equipment should be

(A) 38.87 MVAR (B) 20.28 MVAR

(C) 30 kVR (D) 18.59 kVAR

Common Data for Questions 50 and 51:

Consider the signal flow graph of a system shown below.

Q.50 The number of feedback loops in the SFG is

(A) 1 (B) 2(C) 3 (D) 4

Q.51 The number of forward paths in the SFG is

(A) 1 (B) 2

(C) 3 (D) 4

Linked Answer Questions

Statement For Linked Answer Questions 52 and 53:

In the circuit below, two series connected capacitors of 3 Fm and 6 Fm having initial voltage of4V and 6V are connected across a black box at t 0= .


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For t 0$ , it is given that ( ) 20 Ai t e t m= - .

Q.52 The total energy delivered to the black box will be

(A) 300 Jm (B) 100 Jm

(C) 400 Jm (D) 200 Jm

Q.53 The energy trapped in the ideal capacitors will be equal to

(A) 32 Jm (B) 268 Jm

(C) 68 Jm (D) 132 Jm

Statement For Linked Answer Questions 54 and 55:A 2-pole, 50Hz, single phase induction motor running at 2600rpmhas an effective rotor

resistance and reactance each of 0.5W. The stator impedance and magnetizing current are

to be neglected.

Q.54 The frequencies of rotor current in forward branch and in backward branch are tobe respectively

(A) 16.67 Hz, 103.33 Hz (B) 6.67 Hz, 93.33 Hz

(C) 93.33 Hz, 6.67 Hz (D) 103.33 Hz, 16.67 Hz

Q.55 The ratio of forward flux to backward flux will be

(A) 3.3 (B) 10.2

(C) 5.1 (D) 6.6


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General Aptitude (GA) Questions

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

Q.56 The HCF and the LCM of two numbers are 35and 272respectively. I f one of thenumbers is divided by 6, then the quotient is 11and the remainder is 4. What is the othernumber ?

(A) 90 (B) 102

(C) 124 (D) 136

Q.57 Find the sentence that has a mistake in grammar or usage. If you find no mistakes,mark choice d.

(A) The dogs barking woke us.

(B) Ursula has broke one of your plates.

(C) The sun rose from behind the mountain.

(D) No mistakes.

Q.58 Throughout the trial, the _ _ _ _ _ _ _ _ was placed on scientific evidence.

(A) enphasis (B) emphisis

(C) emphasis (D) emfasis

Q.59 son : nuclear :: _ _ _ _ _ _ : extended

(A) father (B) mother

(C) cousin (D) daughters

Q.60 general

(A) specific (B) total

(C) insignificant (D) substantial


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Choose the sentence that best combines the given sentences.

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

Q.61 The federal government has diversity of jobs and geographic locations. The federalgovernment offers flexibility in job opportunities that is unmatched in the private sector.

(A) In spite of its diversity of jobs and geographic locations, the federal government of-fers flexibility in job opportunities that is unmatched in the private sector.

(B) No matter its diversity of jobs and geographic locations, the federal government of-fers flexibility in job opportunities that is unmatched in the private sector.

(C) Because of its diversity of jobs and geographic locations, the federal government of-fers flexibility in job opportunities that is unmatched in the private sector.

(D) The federal government has diversity of jobs and geographic locations, so it offersflexibility in job opportunities that is unmatched in the private sector.

Q.62 The value of ............ 67 7 7 74444

times is equal to ?

(A) 72025112

(B) 740961365

(C) 740962025

(D) 740962729

Q.63 The first term of an A Pis equal to the sum of common ratio of a GPand the firstterm of the GPis equal to the common difference of the A P. I f the sum of the first twoterms of the GPis equal to the sum of the first 2terms of the A P, then the ratio of thefirst term of the GPto the first term of an A Pis ?

(A) 1> (B) Independent of first term of GP

(C) 1< (D)Independent of first term of A P

Q.64 For any two numbers , ; :m n m n m n + -^ ^h h: : :mn 7 1 60= . F ind the value of : ?m n1 1

(A) :3 4 (B) :5 7

(C) :7 10 (D) :10 13


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Q.65 Ramu is planning to get wireless Internet service at his house. Two service providers,A and B, offer different rates as shown in the table below. If Ramu plans on using 25 hoursof Internet service per month, which of the following statements is true?

Internet Service Rates

Provider Free Hours Base Charge Hourly Charge

A 17.5 $20.00 $1.00

B 20 $20.00 $1.50

(A) Provider A will be cheaper.

(B) Provider B will be cheaper.

(C) The providers will cost the same per month.

(D) The answer cannot be determined from the information given.

END OF THE QUESTION PAPER

For detailed Solutions of this test paper please

mail to [email protected]. Please mentionyour Name, College, Graduating Year and GATERegistration Number in the mail.

EE Mock Test-3 Modes of Heat Transfer 3 Ac Theory Module04 Dc theory module 580

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