IN-PGECET-2010

download IN-PGECET-2010

of 18

Transcript of IN-PGECET-2010

  • 8/8/2019 IN-PGECET-2010

    1/18

    IN www.gateforum.com

    All rights reserved by Gateforum Educational Services Pvt. Ltd. No part of this booklet may be reproduced or utilized in any form without thewritten permission. Discuss this question paper at www.gatementor.com . 1

    1. For the network shown below, calculate voltage across the current source (V A)

    (A) 14V (B) 6V (C) Zero (D) -14V

    2. For the two port network shown below, what is the value of parameter h 11

    (A ) 3 Ohms (B) 4 Ohms (C) 2 Ohms (D) 5 Ohms

    3. The graph of a network is shown below which one of the figure shown below isnot a tree of the graph.

    (A) (B)

    (C) (D)

    4. The time constant of the below circuit is(A) 2

    (B) 10

    (C) 5

    (D) 4

    2

    10V

    2AV A

    +

    -

    1 2

    2

    1 2

    6

    34

    5

    1 2

    3

    1 2

    3

    6

    1

    4 5

    6

    1

    3

    2F

    1F

    3A

    1F

    2

    2

  • 8/8/2019 IN-PGECET-2010

    2/18

    IN www.gateforum.com

    All rights reserved by Gateforum Educational Services Pvt. Ltd. No part of this booklet may be reproduced or utilized in any form without thewritten permission. Discuss this question paper at www.gatementor.com . 2

    5. For the circuit shown below calculate voltage V

    (A) 3V (B) 1.5V (C) 6V (D) 0V

    6. A slide wire potentiometer has battery of 4V and negligible internal resistance.

    The resistance of slide wire is 100 and its length 200cm. The slide wire hasdivisions marked in mm and each division can be interpolated to one fifth. Astandard cell of 1.018V is used for standardizing the potentiometer and therheostat is adju sted so that balance is obtained when the sliding contact is at101.8cm. The resistance of series rheostat and resolution of instrument will be

    (A) 200 , 0.2mV (B) 100 , 0.2mV (C) 100 , 1.0mV (D) 200 , 1.0mV

    7. A wattmeter reads 7113 watts when its current coil is connected in red phase andits voltage coil is connected between neutral and red phase of symmetrical 3-phase system supplying a balanced load of 35A at 440V. If the current coilremains unchanged and voltage coil be connected between blue and yellowphases, find out the reading of wattmeter. The phase sequence is RYB.

    (A) 16.01kW (B) 9.24kW (C) 9.24kVAR (D) 5.33kVAR

    8. The true value of Q-factor of a coil is 245 and the measured value of 244.5. Theratio of distributed capacitance to self capacitance of the coil is

    (A) 32.04 10 (B) 1.002 (C) 0.997 (D) 41.5 10

    9. Figure shows measurement of resistance by the Ammeter-Voltmeter Method. Theresistance of ammeter is 0.01 and that of voltmeter, 2000 . The currentmeasured by ammeter is 2A and voltage measured by voltmeter is 180V. Thepercentage error in calculating resistance R will be

    (A) -4.71% (B) 4.5% (C) 4.71% (D) -4.5%

    22

    22

    3V V

    +

    -

    V

    A

    R

  • 8/8/2019 IN-PGECET-2010

    3/18

    IN www.gateforum.com

    All rights reserved by Gateforum Educational Services Pvt. Ltd. No part of this booklet may be reproduced or utilized in any form without thewritten permission. Discuss this question paper at www.gatementor.com . 3

    10. Spring controlled moving iron instrument exhibits a square law response resultingin a non-linear scale. The shape of the scale can be made almost linear

    (A) By keeping rate of change of inductance L with deflection as constant

    (B) By keeping1 dL

    .d as constant

    (C) By keeping 1k as constant where k is spring constant

    (D) By keepingdL

    .d

    as constant

    11. A moving coil instrument has a resistance of 10 and gives full-scale deflectionwhen carrying a current of 50mA. Show how it can be adopted to measurevoltages up to 750V.

    (A) By adding a resistance of 15k in series to the instrument(B) By adding a shunt of 315.2 10 to the instrument(C) By adding a resistance of 14.99k in series to the instrument(D) By adding a resistance of 12 k in series and a shunt of 0.005 to the

    instrument

    12. A m oving coil ammeter has a fixed shunt of 0.03 resistance. If the coilresistance of the meter is 2000 , a potential difference of 500 mV is requiredacross it for full-scale deflection. Under this condition, the current in the shuntwould be

    (A) 16.669 A (B) 16.67 A (C) 25 A (D) 15.6 A

    13. A CRT has an anode voltage of 2000V and parallel deflecting plates 2cm long and5mm apart. The screen is 30cm from the centre of the plates. The input voltageis applied to deflecting plates through amplifiers having an overall gain of 100.

    For deflecting the beam through 3cm, the amount of voltage applied to deflectingplates is

    (A) 96V (B) 100V (C) 200V (D) 87V

    14. The instrument with null output is

    (A) Pirani gauge

    (B) Thermometer

    (C) Rotameter(D) A platform type of weighing machine

    15. Zero error of a micrometer is

    (A) Systematic error (B) Loading error

    (C) Random error (D) Interference error

  • 8/8/2019 IN-PGECET-2010

    4/18

    IN www.gateforum.com

    All rights reserved by Gateforum Educational Services Pvt. Ltd. No part of this booklet may be reproduced or utilized in any form without thewritten permission. Discuss this question paper at www.gatementor.com . 4

    16. A second order differential equation is given by + + =2

    2

    d x dx5 7x 7y

    dtdtthe

    undamped natural frequency is

    (A) 1 (B) 5 (C) 2 (D) 7

    17. A second order differential equation is given by2

    2

    d x dx5 7x 7y,

    dtdt+ + = the time

    constant of the system is

    (A) 0.945 S (B) 0.4S (C) 2.5S (D) 1.05S

    18. h(t)=(e t)u(t), the system is

    (A) Causal and stable (B) Not causal but stable

    (C) Casual but not stable (D) Neither causal nor stable

    19. Sampling frequency of + Sin20t Sin40t

    t twill be

    (A )

    80(B)

    80(C)

    80

    2(D)

    40

    20. Static sensitivity of the instrument is the

    (A) Range of scale/least count of the scale

    (B) Least reading of the scale/range of scale

    (C) Least-reading of the scale/unit measurable quantity

    (D) Ratio of the change in output to the corresponding change in the inputvariable

    21. Open loop transfer function of a system is +1

    S 1, calculate its gain margin

    (A) (B) 1 (C)1

    2(D) 2

    22. Which of the following is not a mass flometer?

    (A) Turbine type (B) Piston type(C) Coriolis force type (D) Calorimetric type

    23. LVDT used for displacement measurement is

    (A) A capacitive transducer (B) A digital transducer

    (C) An active transducer (D) A passive transducer

  • 8/8/2019 IN-PGECET-2010

    5/18

    IN www.gateforum.com

    All rights reserved by Gateforum Educational Services Pvt. Ltd. No part of this booklet may be reproduced or utilized in any form without thewritten permission. Discuss this question paper at www.gatementor.com . 5

    24. A solar cell is basically a type of

    (A) Photo-resistive transducer (B) Photo-voltaic transducer

    (C) Photo-emissive transducer (D) photo-transistor

    25. The sensing element of the industrial pressure manometer is usually made of

    (A) Platinum (B) Constantan (C) Brass (D) Steel

    26. The output of the logic gates is

    (A) 0 (B) 1 (C) A (D) A

    27. Th e number of machine cycles required to execute the following instruction is

    L X I D, F0F1H

    (A) 2 (B) 3 (C) 4 (D) 5

    28. The number of outputs of 8085 micro processor is

    (A) 40 (B) 27 (C) 21 (D) 19

    29. Calculate the L eq in the circuit shown below.

    (A) 4H (B) 2H (C) 3H (D) 5H

    30. The resistance seen from the terminals A and B is

    (A) 5 (B) 5

    (C)1

    5

    (D)1

    5

    20V4A

    iA

    B

    V

    +

    A Y

    1V cc

    2H 2H

    eqL

    0.5H

  • 8/8/2019 IN-PGECET-2010

    6/18

    IN www.gateforum.com

    All rights reserved by Gateforum Educational Services Pvt. Ltd. No part of this booklet may be reproduced or utilized in any form without thewritten permission. Discuss this question paper at www.gatementor.com . 6

    31. Calculate Voltage across 5 Ohm resistor

    (A) 1.111V (B) 2.222V (C) 4V (D) 6V

    32. Consider the following figure. Calculate the Z L corresponding to maximum powertransfer.

    (A ) 20 j70+ (B) 40 j140+ (C) 20 j70 (D) 40 j140

    33. A series RLC circuit is shown below, calculate the quality Factor.

    (A) 5 (B) 10 (C) 4 (D) 0

    34. A network has 4-nodes and 7 branches. Calculate the Tree branches.(A) 4 (B) 5 (C) 3 (D) 2

    35. Which of the following thermocouple is suitable to measure a temperature of 1400C?(A) Chromel-constant (B) Copper-constant(C) Chromel-alumel (D) Platinum-13% rhodium

    36. The refractive index of core is 1.55 and that of cladding is 1.51 for a particularoptical fibre. Then the acceptance angle of this fibre is

    (A) 036.12 (B) 018.15 (C) 032.84 (D) 020.62

    4A5

    2 2 2A

    sV+

    20 j70

    LZ ?=

    100V100V

    R

    L C

    20V

    ~

  • 8/8/2019 IN-PGECET-2010

    7/18

    IN www.gateforum.com

    All rights reserved by Gateforum Educational Services Pvt. Ltd. No part of this booklet may be reproduced or utilized in any form without thewritten permission. Discuss this question paper at www.gatementor.com . 7

    37. An optical fibre has core refractive index of 1.64 and that of cladding is 1.56 andits operating wavelength is 1200nm and a core radius of 25 m . Calculate thenumber of modes supported by this fiber.

    (A) 1794 (B) 1068 (C) 2193 (D) 3194

    38. A graded index fiber has 1.64 and 1.6 refractive indices of core and cladding andcore diameter of 60 m . Consider the guided ray traveling at steepest angle withrespect to fiber axis. How many reflections per meter are taken place?

    (A) 2865 (B) 3750 (C) 4827 (D) 5430

    39. Compute the frequency range of operation of fiber with = =core clad2.56, 2.2 ,diameter of 1.5 cm (placed in air) and the cutoff no is 2.4048.

    (A) 11.7 GHz (B) 25.6 GHz (C) 18.6 GHz (D) 22.5 GHz

    40. An open loop Transfer Function is given by ( ) ( )( )

    ( ) ( )k s 1

    G s H s s s 2 s 3

    += + +

    Total number of root locus branches is

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

    41. P.I. controller will improve the

    (A) Steady state response (B) Dynamic response

    (C) Transient response (D) None

    42. Which of the following system is more stable?

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

    43. A X ray counter meter is used to measure the activity of a given sample. At oneinstant the meter shows 4750 counts per minute. Five minutes later it shows2700 counts per minute. Find the decay constant.

    (A) 0.113 per minute (B) 0.26 per minute

    (C) 0.22 per minute (D) 0.44 per minute

    44. Some amount of a radioactive substance (half life = 10days) is spread inside aroom and consequently the level of radiation becomes 50 times the permissiblelevel for normal occupancy of the room. After how many days, the room will besafe for occupation?

    (A) 20days (B) 10days (C) 56.4days (D) 112days

    0.5 0.2 0.8 1

  • 8/8/2019 IN-PGECET-2010

    8/18

    IN www.gateforum.com

    All rights reserved by Gateforum Educational Services Pvt. Ltd. No part of this booklet may be reproduced or utilized in any form without thewritten permission. Discuss this question paper at www.gatementor.com . 8

    45. When X-rays of wavelength 1A passes through a gold foil of thickness 2.303mm,then their intensity reduces to half. The coefficient of absorption for gold(in mm -1 ) will be

    (A) 0.2 (B) 0.3 (C) 0.4 (D) 0.5

    46. A radioactive sample S 1 having an activity of 5 Ci has twice the number of nucleias another sample S 2 which has an activity of 10 Ci. The half lives of S 1 and S 2 can be

    (A) 20 years and 5 years (B) 20 years and 10 years

    (C) 10 years each (D) 5 years each

    47. The wavelength of K X-rays produced by an X-ray tube is 0.76A . What is theatomic number of the anode material of the tube?

    (A) 41 (B) 35 (C) 40 (D) 42

    48. A voltage applied to an X-ray tube being increased by 1.5 times, the shortwavelength limit of a continuous X-ray spectrum shifts by 26pm. The initialvoltage applied to the tube is

    (A ) 1.6kV (B) 3.2kV (C) 15.9kV (D) 19.2kV

    49. In an X-ray tube, the intensity of the emitted X-ray beam is increased by

    (A) increasing the filament current (B) decreasing the filament current

    (C) increasing the target potential (D) decreasing the target potential

    50. Which of the following analyzer(s) is / are more sensitive(A) UV (B) IR (C) Both (D) None

    51. When a LED has 5V applied to its terminals, it draws 200mA and produces 5mWof optical power. What is the LEDs conversion efficiency from electrical to opticalpower?

    (A) 10% (B) 1% (C) 2% (D) 0.5%

    52. The output of the 2:1 MUX shown below is

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

    B

    B

    A

    0I

    1I

    Y

  • 8/8/2019 IN-PGECET-2010

    9/18

    IN www.gateforum.com

    All rights reserved by Gateforum Educational Services Pvt. Ltd. No part of this booklet may be reproduced or utilized in any form without thewritten permission. Discuss this question paper at www.gatementor.com . 9

    53. A memory system has total of 8 memory chips, each with 12 address lines and 4data lines. The total size of memory system is

    (A) 16kBytes (B) 32 k Bytes (C) 48 k Bytes (D) 64 k Bytes

    54. The input to a JK flip flop is J=0, K=1, The output is

    (A) NQ (B) NQ (C) 0 (D) 1

    55. The Laplace Transform of a signal ( ) ( )x t t= is

    (A) 0 (B)1

    s(C) (D) 1

    56. A system is described by ( ) ( ) ( ) ( ) ( )1 1 1y n y n 1 y n 2 x n x n 1 is2 4 4

    = +

    (A) stable is non-causal (B) unstable and causal(C) unstable and non-causal (D) stable and causal

    57. Match the following1 Nd-yAG Laser I Al 2O3+Cr 2O 3 N 1064 nm2 He-Ne Laser J High powerful laser beam O 694.3 nm3 CO 2 Laser k Four level laser P 10.6 m4 Ruby Laser L Continuous output beam Q 514.5 nm5 Ar Ion Laser m Green R 632.8 nm

    (A) 1- -N 2-k-R 3-i-O 4-j-P (B) 1- -N 5-m-Q 3-i-O 4-j-P

    (C) 1-k-N 2- -R 3-j-P 4-i-O (D) 1- -N 2-k-R 3-i-O 5-j-P

    58. Calculate the frequency range of a modulated signal from a MichelsonInterferometer with a mirror velocity of 0.35 cm/s, for visible radiation of 700nmand Infrared radiation of 16 m .(A) 10 kHz and 437.5 Hz (B) 1 kHz and 564.8 Hz(C) 6025 Hz and 20 kHz (D) 7214 Hz and 12 kHz

    59. A CDS cell has a dark resistance of 100 and a day light resistance of 40 .findthe resistance of the cell after 36ms of application of beam. The time constantbeing 72ms.(A) 63.60 (B) 70 (C) 68.5 (D) 75.8

    60. A voltage: ( ) ( )0 0100 sin t 40 cos 3 t 30 50 sin 5 t 45 + + + is applied to thepressure circuit of a wattmeter and through the current coil is passed a current of

    ( )08 sin t 6 cos 5 t 120 + A. the reading of wattmeter and percentage of thispower due to fundamental is(A) 877.6W, 91.15% (B) 255.1W. 63.77%

    (C) 438.8W, 91.15% (D) 517.5W, 86.25%

  • 8/8/2019 IN-PGECET-2010

    10/18

    IN www.gateforum.com

    All rights reserved by Gateforum Educational Services Pvt. Ltd. No part of this booklet may be reproduced or utilized in any form without thewritten permission. Discuss this question paper at www.gatementor.com . 10

    61. The current and flux produced by series magnet of an induction wattmeter are inphase but there is an angular departure of 3 from quadrature between voltageand shunt magnet flux. The speed of disc at full load and unity p.f. is 40rpm.Assume the meter to register correctly under this condition, then, the speed at full load and 0.5p.f. lag is

    (A) 22rpm (B) 4.54rpm (C) 7.27rpm (D) 11.57rpm

    62. A current transformer has a single turn primary and a 200 turns secondarywinding. The secondary winding supplies a current of 5A to a non-inductiveburden of 1 resistance. The requisite flux is set up in the core by an mmf of 80A. The frequency is 50Hz and net cross section of the core is 1000mm 2 . Thenflux density in the core and ratio error respectively are:

    (A) 20.1225wb / m ,200.8 (B) 20.1125wb / m ,200.6

    (C) 20.1125wb / m ,200.8 (D) 20.1225wb / m ,200.6

    63. Calculate current I at (t=0+)

    (A) 5A (B) -5A (C) 10A (D) -10A

    64. Thevenins equivalent circuit for the below figure is(A) th thV 0.5V; R 0.5= =

    (B) th thV 0V; R 0.5= =

    (C) th thV 0V; R 2= =

    (D) th thV 0V; R 1= =

    65. The current ( )I t is as shown in below figure. Calculate the average powerdissipated in 2 Resistor is

    (A) 4 Watts

    (B) 8 Watts

    (C) 16 Watts

    (D) 2 Watts

    +

    2 t 0=

    2H 2

    I

    20V

    0.5 th0.5V

    +

    thV+

    0 2 4 6 8 10t

    2A

  • 8/8/2019 IN-PGECET-2010

    11/18

    IN www.gateforum.com

    All rights reserved by Gateforum Educational Services Pvt. Ltd. No part of this booklet may be reproduced or utilized in any form without thewritten permission. Discuss this question paper at www.gatementor.com . 11

    66. A series Resonant Circuit is shown below. Calculate the Bandwidth?

    (A) 1

    (B) 1.25

    (C) 0.5

    (D) Insufficient data

    67. V-I characteristics of an element is shown below.

    The element is

    (A) Linear (B) Bilateral (C) Active (D) None

    68. A stirred tank reactor is rising in temperature at 0.8C/min with a temperaturediffe rence of 48C between jacket and reactor. Assume no reaction is takingplace. Calculate primary time constant.

    (A) 360sec (B) 600sec (C) 3600sec (D) 6000sec

    69. The pH electrode in a control loop gradually fall from the formation of aprecipitate. To maintain control loop stability, which is the best solution amongthe following?

    (A) A self-tuning controller (B) Feed forward controller

    (C) Dead-Time controller

    (D) By keeping them clean, thereby minimizing phase lag

    70. In which type of control system will the more important of two variables bemaintained?

    (A) Ratio control (B) Cascade control

    (C) Selective control (D) Fuzzy control

    71. In which type of control system controlled flow is added proportionally to anuncontrolled flow?

    (A) Ratio control (B) Cascade control

    (C) Selective control (D) Fuzzy control

    72. Which control system is best suited for processes in which load disturbanceeffects are more?

    (A) Feed forward control (B) Ratio control

    (C) Selective control (D) None

    0.5 j20

    50Hz

    ~

    v

    i

  • 8/8/2019 IN-PGECET-2010

    12/18

    IN www.gateforum.com

    All rights reserved by Gateforum Educational Services Pvt. Ltd. No part of this booklet may be reproduced or utilized in any form without thewritten permission. Discuss this question paper at www.gatementor.com . 12

    73. Match the following

    Component label ISA symbol

    1. Flow transmitter l.

    2. Temperature transmitter m.

    3. Flow controller n.

    4. Valve o.

    (A ) 1 n,2 m,3 , 4 o (B) 1 m,2 n,3 , 4 o (C) 1 n, 2 m, 3 o, 4 (D) 1 m, 2 n, 3 o, 4

    74. The polar plot for the Transfer Functions ( ) ( ) 41

    G s H ss

    =

    (A) (B)

    (C) (D)

    75. Calculate the no. of Breakaway points for the following Transfer function

    ( ) ( )( ) ( )

    KsG s H s

    s 1 s 2= + +

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

    = 0 = = 0 =

    = 0 = = 0 =

  • 8/8/2019 IN-PGECET-2010

    13/18

    IN www.gateforum.com

    All rights reserved by Gateforum Educational Services Pvt. Ltd. No part of this booklet may be reproduced or utilized in any form without thewritten permission. Discuss this question paper at www.gatementor.com . 13

    76. The pole zero location for phase lead compensator is

    (A) (B)

    (C) (D)

    77. Consider the following equation 4 3 22s s 3s 5s 10 0+ + + + = . How many roots doesthis equation have in the right half of s-plane.

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

    78. In 8085, The DAA instruction is used for

    (A ) Direct Address Accumulator (B) Double Address Accumulator

    (C) Decimal Adjust Accumulator (D) Direct Access Accumulator

    79. Microprogramming is used in the design of

    (A) ALU (B) Control Unit (C) Memory Unit (D) DMA controller

    80. The input frequency to a 4-bit mod-10 counter is 16 kHz. What is the outputfrequency?

    (A) 16kHz (B) 10kHz (C) 1kHz (D) 1.6kHz

    81. A 150mA meter has accuracy of

    (A) 1% (B) 4% (C) 2% (D) 20%

    82. Two voltmeters having internal impedances of 40k and 20k. If they areconnected in series and 600V be applied across them, the readings are

    (A) 300V, 300V (B) 400V, 200V (C) 200V, 400V (D) None of these

    83. The Laplace Transform of the signal ( )u t 5 is

    (A)5

    s(B)

    1

    s(C)

    5se

    s

    (D)

    5e

    s

    84. For a step down DC chopper, the Duty cycle is

    (A) Unity (B) 1 (D) None of these

  • 8/8/2019 IN-PGECET-2010

    14/18

    IN www.gateforum.com

    All rights reserved by Gateforum Educational Services Pvt. Ltd. No part of this booklet may be reproduced or utilized in any form without thewritten permission. Discuss this question paper at www.gatementor.com . 14

    85. Calculate the energy stored by the inductor up to 4sec, the current flowingthrough the inductance of 2H is shown below

    (A) 0 J (B) 2J (C) 16J (D) 4J

    86. The current flowing through a resistance of 2 is give by ( )i t 2 2 2 sin t.= + Calculate the average power dissipated by the resistor(A) 8W (B) 0W (C) 16W (D) 32W

    87. Calculate the equivalent resistance between terminals a & b

    (A) 3 (B) 5 (C) 2 (D ) 4

    88. Calculate the resistance offered by the circuit

    (A) 4 (B) 2 (C) 0 (D) 2

    89. Calculate the time constant of the circuit shown the

    (A) 1sec

    (B) 2sec

    (C) 2.5sec

    (D) 5sec

    90. The initial voltage across the capacitor C 1 is 20V calculate V 1 and V 2 at t = (A) ( ) ( )

    1 2C CV 20V;V 0 = =

    (B) ( ) ( )1 2c C

    V 20V ;V 20V = =

    (C) ( ) ( )1 2C C

    V 10V;V 10V = =

    (D) ( ) ( )1 2C C

    V 0;V 10V = =

    ( )i t

    2

    21 3 4 ( )t sec

    2

    2

    2

    4

    4

    b

    a

    I

    4

    4

    1 t=02

    2H

    2 11v

    +CV (0 ) 20V

    = 1e 2F= 2C 2F=

    t 0=

  • 8/8/2019 IN-PGECET-2010

    15/18

    IN www.gateforum.com

    All rights reserved by Gateforum Educational Services Pvt. Ltd. No part of this booklet may be reproduced or utilized in any form without thewritten permission. Discuss this question paper at www.gatementor.com . 15

    91. The KorotKoff sound listening takes place in which of the following methods?

    (A) Palpatory method (B) Sphygmomanometer method

    (C) auscultatory method (D) None

    92. If the focus discharges repetitively at a rate that exceeds that of SA node, itproduces(A) Fibrillation (B) Tachycardia

    (C) Ectopic beat (D) Atrioventricular block

    93. What would be the cardiac output of the heart if the stroke volume is 80 ml andthe heart rate given by an ECG in which 11 R-waves occurred is 8 sec?

    (A) 6 lit/min (B) 8 lit/min (C) 10 lit/min (D) 6.6 lit/min

    94. The frequency spectrum of ultra sound scattered by an artery which ispredominantly carrying blood away from the transmitter/receiver position isshown. Then the 2 of the spectrum is

    (A) Down shifted: blood flow away

    (B ) Up shifted: blood flow toward

    (C) Scattering from stationary objects

    (D) Transverse Wall motion

    95. Find the Mean Arterial Pressure of a patient whose systolic and diastolic pressuresare 122 and 81 mm of Hg.

    (A) 94.66 mm of Hg (B) 101.5 mm of Hg

    (C) 67.33 mm of Hg (D) 95.5 mm of Hg

    96. In Ficks method of cardiac output measurement, oxygen consumption is 300ml/min, arterial oxygen content is 0.4 ml/min and venous oxygen content is 0.25ml/min then the cardiac output is

    (A) 1l/m (B) 2l/m (C) 2.5l/m (D) 3l/m

    97. A nuclear magnetic resonance spectrometer is operated at 20,000 gauss and dueto this applied field, the magnetic momentum of charged particle is changed to2.7927 nuclear magnetons. If the spin number is +, the resultant resonance

    frequency is(A) 60 MHz (B) 90 MHz (C) 9000 kHz (D) 6 MHz

    98. A electron spin resonance spectrometer is operated at field of 3400 gauss andthe momentum of particle due to field is 3.6779 nuclear magnetons. Calculatefrequency of absorption.

    (A) 19 MHz (B) 21 MHz (C) 23 MHz (D) 17 MHz

    0

    ReceivedSpectrum

    ( )2

    ( )3

    ( )4

    f

    ( )1

  • 8/8/2019 IN-PGECET-2010

    16/18

    IN www.gateforum.com

    All rights reserved by Gateforum Educational Services Pvt. Ltd. No part of this booklet may be reproduced or utilized in any form without thewritten permission. Discuss this question paper at www.gatementor.com . 16

    99. The temperature has a range of 200 0 C to 280 0 C and a set point of 250C. Thepercentage of span error when the temperature is 220C, is

    (A) 150% (B) 1.6% (C) 160% (D) 3.75%

    100. The belt speed of a process is 12ft/min, and the weight cell is allocated 4ft from

    the valve. Estimate the integral time required for minimum IAE under integralcontrol if 10% moving valve causes a 14% change in weight on the belt.

    (A) 20sec (B) 35sec (C) 45sec (D) 28sec

    101. The maximum number of NAND gates required to realize the two input EX-ORgate.

    (A) 2 (B) 3 (C) 4 (D) 5

    102. Half adder can be realized with

    (A) NAND gates (B) NOR gates (C) Both A and B (D) EX-OR gate

    103. What is the range of a1

    32

    digital meter

    (A ) 0 to 1999 (B) 0 to 1500 (C) 0 to 999 (D) 0 to 19999

    104. How many time base circuit does a dual trace CRO has?

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

    105. The pressure coil of an Induction type energy meter is

    (A) Highly resistive (B) Highly inductive

    (C) Both ash (D) None

    106. Find out the rank of the matrix

    1

    1

    1

    1 p p

    a b pa b pa b p

    a b p

    (A) 0 (B) -1 (C) 1 (D) p

    107. Find out the Eigen values of the given matrix7 0 0

    0 5 0

    0 0 6

    (A) -1, -1, 2 (B) 2, 0, 1 (C) All of these (D) None of these

  • 8/8/2019 IN-PGECET-2010

    17/18

    IN www.gateforum.com

    All rights reserved by Gateforum Educational Services Pvt. Ltd. No part of this booklet may be reproduced or utilized in any form without thewritten permission. Discuss this question paper at www.gatementor.com . 17

    108. Solve the system of linear equations.2 5

    2 7 123 6 3 19

    + =+ + = + =

    x y z x y z x y z

    (A) unique solution (B) infinite solution (C) no solution (D) none of these

    109. If 1 0 10 0 1 ,

    0 1 0

    A

    =

    then what is the value of 3 2 ? A A

    (A) ( )2 A A I (B) ( ) A I (C) ( )+ A I (D) ( ) A A I

    110. Consider the following function:

    ( ) 5f x x x = + +

    (A) f is continuous and differentiable at 0 x = (B) f is continuous but not differentiable at 0 x = (C) f is differentiable but not continuous at 0 x = (D ) f is neither differentiable nor continuous at 0= x

    111. The value of ( )n

    cosnlim n 1

    n is

    (A) 0 (B) 1 (C) (D) None of these

    112. Solution of differential equation 2 0dy

    y dx

    + = is

    (A)1

    y x c

    = + (B)3

    3 x

    y c = + (C) x ce (D) unsolvable

    113. For the differential equation 5 0dy

    y dx

    + = with ( )0 1y = . The general solution i:

    (A) 5 t e (B) 5 t e (C)55 t e (D) 5 t e

    114. Differential equation2

    210 25 0

    d x dx x

    dt dt + + = has solution of the form

    (A) ( )5

    1 2t

    c tc e + (B)2

    1

    t c e (C)

    5 5

    1 2t t

    c e c e + (D)5 5

    1 2t t

    c e c te +

    115. The following differential equation2

    2

    d yy 0 with y(0) 0 and y(n ) 1

    dx+ = = = has

    (A) unique solution (B) finite solution

    (C) infinite solution (D) no solution

  • 8/8/2019 IN-PGECET-2010

    18/18

    IN www.gateforum.com

    All rights reserved by Gateforum Educational Services Pvt. Ltd. No part of this booklet may be reproduced or utilized in any form without thei i i Di hi i 18

    116. Which of the following depends on the choice of a particular co-ordinate system?

    (A) gradient (B) divergence

    (C) gradient and curl (D) None of these

    117. If .r xi yi zk = + + Then 5r is equal to

    (A) 35

    .2

    r r (B) 35 .r r (C) 45 .r r (D) None of these

    118. If curl 0R = then the value of ( ). R r

    is equal to:

    (A) 0 (B) 3 (C) r (D) None of these

    119. Analytic function for 3 23u y x y = is

    (A)( )

    3i z c (B)( )

    3i z c +

    (C) Both (A) and (C) (D) None of these

    120. Po lar form of Cauchy-Riemann equations are

    (A)1 1

    ,u v v u

    r r r r

    = = (B)

    1 1,

    u u v v

    r r r r

    = =

    (C) ,u v v v

    r r r r

    = = (D) None of these