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  • 8/18/2019 In Transducer Mech. Measur. and Indus. Instru.

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    No part of this publication may be reproduced or distributed in any form or any means, electronic, mechanical,photocopying, or otherwise without the prior permission of the author.

    GATE SOLVED PAPER

    Instrumentation Engineering

    Transducer, Mech. Measur. and Indus. Instru.

    Copyright © By NODIA & COMPANY 

    Information contained in this book has been obtained by authors, from sources believes to be reliable. However,neither Nodia nor its authors guarantee the accuracy or completeness of any information herein, and Nodia nor itsauthors shall be responsible for any error, omissions, or damages arising out of use of this information. This bookis published with the understanding that Nodia and its authors are supplying information but are not attemptingto render engineering or other professional services.

    NODIA AND COMPANYB-8, Dhanshree Tower Ist, Central Spine, Vidyadhar Nagar, J aipur 302039

    Ph : +91 - 141 - 2101150

    www.nodia.co.in

    email : [email protected]

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    TRANSDUCER, MECH. MEASUR. AND INDUS. INSTRU.

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    YEAR 2012 ONE MARK

    Q. 1 A capacitive motion transducer circuit is shown. The gap d  between the parallel

    plates of the capacitor is varied as . sind t t m  10 1 01 10003 p= +-^ ^h h6 @ . If the valueof the capacitance is 2 pF at 0mst  = , the output voltage V 0 at t  2=  ms is

    (A)2p  mV

    (B) p mV

    (C) 2p mV

    (D) 4p mV

    Q. 2 A strain gauge is attached on a cantilever beam shown. If the base of the cantilever

    vibrates according to the equation sin sinx t t t  1 2w w= +^ h , where 2 /rad s < 1w ,

    3 /rad s

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    (A) 4 V (B) 5 V

    (C) 10 V (D) 16 V

    Q. 4 Water (density : 1000 kgm 3- ) stored in a cylindrical drum of diameter 1 m is

    emptied through a horizontal pipe of diameter 0.05 m. A pitot-static tube is

    placed inside the pipe facing the flow. At the time when the difference between

    the stagnation and static pressures measured by the pitot-static tubes is 10 kPa,the rate of reduction in water level in the drum is,

    (A) ms200 5

    1 1-   (B) ms75 10

    1 1-

    (C) ms50 10

    1 1-   (D) ms40 5

    1 1-

    Q. 5 A U  -tube manometer of tube diameter D  is filled with a liquid of zero viscosity.

    If the volume of the liquid filled is V  , the natural frequency of oscillations in the

    liquid level about its mean position, due to small perturbation, is

    (A) D V 

    2 2p  (B)

    gV 2 22

    p

    (C)V 

    gD 

    2

    1/1 3

    p  (D)

    g 1

    p

    Common Data For Questions 6 and 7 :

     The deflection profile y x ^ h  of a cantilever beam due to application of a pointforce F    (in Newton), as a function of distance x   from its base, is given by

    0.001 my x F x     x 13

    2= -^   ah   k . T he angular deformation q at the end of the cantileveris measured by reflecting laser beam off a mirror M   as shown in the figure.

    Q. 6  The translation S  of the spot of laser light on the photodetector when a force of

    1NF  =  is applied to the cantilever is

    (A) 1 mm (B) 3 mm(C) 6 mm (D) 12 mm

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    Q. 7 If linear variable differential transformers (LVDTs) are mounted at mx 21=  and

    mx 41=  on the cantilever to measure the effect of time varying forces, the ratio

    of their output is

    (A) 12/ 7 (B) 40/11

    (C) 176/23 (D) 112/ 15

    YEAR 2011 ONE MARK

    Q. 8  The Treadmill test is used to diagnose

    (A) T he balancing style during walk of the patient

    (B) the auditory activity of the patient

    (C) the visual activity of the patient

    (D) the cardiac activity of the patient

    Q. 9  The characteristics of a thermometer measuring ambient temperature is

    dt dT 

    T T 2 0i  i a + - = , where T i  andT a  are the indicated and ambient temperatures,

    respectively, both in Cc , and time is in second. The dB3-  cut-off frequency in

    the frequency response of the thermometer is

    (A) Hz41p

    (B) Hz21

    (C) Hz1   (D) Hz2p

    Q. 10 For a copper-constantan (TypeT  ) thermocouple, the junction potential ( )in VE    m  

    at Ccq   is given by 38.74 3.3 10 2.07 10E  2 2 4 3q q q# #= + +- -   2.2 10 6 4q#- +

    -  

    higher order terms, assuming the cold junction compensation. The sensitivity ofthermocouple at 100 Cc  is approximately

    (A) 45.34 V Ccm   (B) 42.75 /V Ccm

    (C) 38.74 /V Ccm   (D) 0.06 /V Ccm

    Q. 11  The temperature of a furnace is monitored at a distance of 50 m away. The

    temperature transmitter has a range of 0-500 Cc  and provides 4-20 mA current

    output. The measured temperature and the output current have a straight line

    relationship with positive slope. The temperature is determined form the voltage

    measured across a resistance of 500W in the current loop. If the voltage measured

    across the resistance is 4 V, the temperature of the furnace is

    (A) 100 Cc

      (B) 125 Cc

    (C) 150 Cc   (D) 200 Cc

    Q. 12  The conventional way of expressing vibration is in term of 

    (A) Richter scale (B) acceleration due to gravity

    (C) speed of sound (D) atmospheric pressure

    Q. 13  The primary and secondary of an LVDT (stroke length 50mm! ) are connected

    to a 3 kHz sinusoidal source and ideal semiconductor diode bridge-based phase

    sensitive demodulator circuit. T he core of the LVDT remains static at 15 mm

    above the ideal null position. The frequency of the voltage observed at the input

    of the low-pass filter is

    (A) 1 kHz (B) 1.5 kHz

    (C) 3 kHz (D) 6 kHz

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    YEAR 2011 TWO MARKS

    Q. 14 In a flapper-nozzle displacement transducer, the values of the following parameters

    are given :

    Diameter of the orifice 0.2mm= ,Diameter of the nozzle 0.8mm= ,

    Supply pressure 1.4 10 kPa2#=  (gauge),

    Ambient pressure 0( )gauge= .

     The maximum value of the sensitivity is

    (A) 4.0 MPa/mm (B) 5.6 MPa/ mm

    (C) 6.4 MPa/ mm (D) 7.3 MPa/ mm

    Q. 15 A differential push-pull type capacitive displacement sensor (nominal capacitance

    0.01 FC 0   m= ) is connected in two adjacent arms of an ac bridge in such a way

    that the output voltage of the bridge is independent of the frequency of the

    supply voltage. Supply to the bridge is 1 V at 1 kHz, and two equal resistance( 3.9 )kR    W=  are placed in the other two arms of the bridge. The bridge sensitivity

    is

    (A) 0.001 mV/pF (B) 0.05 mV/pF

    (C) 0.1 mV/ pF (D) 0.5 mV/ pF

    Q. 16 A turbine flow-meter is rotating at 72 rpm. The flux Y   linked to the nearby

    magnet and coil assembly is given by ( ) 3 (5 )cos mWbq qY    = + , where q is the

    angular position (in radian). T he amplitude and frequency of the output voltage,

    signal, respectively, are

    (A) 4 mV and 45.8 Hz (B) 30.2 mV and 4.8 Hz

    (C) 30.2 mV and 30.2 Hz (D) 288 mV and 45.8 Hz

    Q. 17  The characteristic of a thermometer measuring ambient temperature is

    2( / ) 0dT dt T T  i i a + - = , where andT T i a   are the indicated and ambient

    temperatures, respectively, both in Cc , and times is in seconds. The 3dB-  cut-

    off frequency in the frequency response of the thermometer is

    (A) Hz41p

      (B) Hz21

    (C) 1Hz  (D) 2 Hzp

    YEAR 2010 ONE MARK

    Q. 18 Poisson’s ratio for a metal is 0.35 Neglecting piezo-resistance effect, the gage

    factor of a strain gage made of this metal is

    (A) 0.65 (B) 1

    (C) 1.35 (D) 1.70

    Q. 19  The diameters of 10000 ball bearings were measured. The mean diameter and

    standard deviation were found to be mm10  and . mm005  respectively. Assuming

    Gaussian distribution of measurements, it can be expected that the number of

    measurements, it can be expected that the number of measurements more than

    . mm1015  will be

    (A) 230 (B) 115(C) 15 (D) 2

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    Q. 20 Match the Following

    P. Radiation Pyrometer W Angular velocity measurement

    Q. Dall tube X Vaccum pressure measurement

    R. Pirani gauge Y Flow measurementS. Gyroscope Z Temperature measurement

    (A) P-Z, Q-W, R-X, S-Y (B) P-Z, Q-Y, R-X, S-W

    (C) P-W, Q-X, R-Y , S-Z (D) P-Z, Q-Z, R-W, S-Y

    Q. 21  The seismic mass of an accelerometer oscillates sinusoidally at 100 Hz with a

    maximum displacement of 10 mm from its mean position. T he peak acceleration

    of the seismic mass is

    (A) 3947.84 m/s2  (B) 3141.50 m/ s2

    (C) 314.15 m/s2  (D) 100.00 m/ s2

    Q. 22

     The output voltage of a transducer with an output resistance of 10kW is connectedto an amplifier. The minimum input resistance of the amplifier so that the error

    in recording the transducer output does not exceed 2% is

    (A) 10 kW  (B) 49 kW

    (C) 490 kW  (D) 1.2 MW

    YEAR 2010 TWO MARKS

    Q. 23  The velocity v  (in m/s) of a moving mass, starting from rest, is given asdt dv 

    v t = + .

    Using Euler forward difference method (also known as Cauchy-Euler method)

    with a step size of . s01 , the velocity at . s02  evaluates to(A) . /m s001   (B) . /m s01

    (C) . /m s02   (D) /m s1

    Q. 24 A thermocouple based temperature measurement system is shown in the adjoining

    figure. Relevant thermocouple emf data (in mV) is given below. The cold junction

    is kept at 0 Cc . The temperature is 30 Cc  in the other parts of the system. The

    emfV 0 is measured to be 26.74 mV. The temperature of the hot liquid is

    Temperature Emf of Chromel-Constantan Emf of Copper-Constantan

    10 Cc   0.591 0.391

    20 Cc   1.192 0.789

    30 Cc   1.801 1.196

    370 Cc   26.549 19.027

    380 Cc   27.345 19.638

    (A) 370.0 Cc   (B) 372.4 Cc

    (C) 376.6 Cc   (D) 380.0 Cc

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    Q. 25 A differential pressure transmitter is used to measure the flow rate in a pipe. Due

    to aging, the sensitivity of the pressure transmitter is reduced by 5%. All other

    aspects of the flow meter remaining constant, change in the sensitivity of the flow

    measurement is

    (A) 10.0%

    (B) 5.0%

    (C) 2.5%

    (D) 2.2%

    YEAR 2009 ONE MARK

    Q. 26 Assuming complete dissociation, the pH of a 1 mm solution of H SO2 4 is closest to

    (A) 3 (B) 2.7

    (C) 2.4 (D) 2.1

    YEAR 2009 TWO MARKS

    Q. 27 A stroboscopic system is used for measuring the speed for a rotating shaft. The

    shaft has on target mark on it. The maximum strobe rate at which synchronism is

    achieved is r 1 flashes per minute. The next lower flash rate at which synchronism

    is achieved is r 2 flashes per minute. The speed of the shaft in rpm is

    (A)r r 

    r r 

    1 2

    1 2

    -  (B)

    r r r r 

    1 2

    1 2

    +

    (C)r r 

    1 2

    22

    -  (D)

    r r r 

    1 2

    12

    +

    Q. 28  The fig. Shows the cross-sectional diagram of an orifice flow meter with an orifice

    radius R. Point ‘a’ is 30 R upstream while points ‘b’ and ‘c’ are 0.8 R and 30 R

    downstream from the orifice respectively. The pressures at points a, b and c are

    ,P P a b  and P c  respectively. Then

    (A) P P P > >c b a (B) P P P > >b c a 

    (C) P P P > >a b c 

    (D) P P P > >a c b 

    Q. 29  The values of the material constant b for thermistors P and Q are 4000 K and

    3000 K, respectively. The resistance of each thermistor at 298 K is 2 kW. At 373

    K the ratio of thermistor P to that of thermistor Q will be closest to

    (A) 1.33

    (B) 1.00

    (C) 0.75

    (D) 0.50

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    Q. 30 Four strain gauges are fixed on a cylindrical shaft to measure tourque, as shown

    in the figure.

    (A) P-1, Q-2, R-3, S-4 (B) P-1, Q-3, R-2, S-4

    (C) P-3, Q-1, R-2, S-4 (D) P-2, Q-1, R-3, S-4

    Common Data For Questions 31 and 32 :

     The figure shows an arrangement for measuring small angular displacements in a

    vertical plane. A non-conducting tube of length 2l and rectangular cross section

    (width W, height d) is bent along an arc of a circle with radius R>>d, centeredat P. Four electrode plates of length l and width W are placed to form two curved

    parallel plate capacitors C 1 and C 2 with a negligible gap between them. The tube

    contains water with an air bubble of rectangular cross section (width W, height

    d) and length 1/ 4 the capacitors are connected in a bridge circuit as shown in the

    figure, where the bridge has ac  excitation V i . Angular displacement qD  occurs

    about the point P.

    Q. 31  The range of angular displacement (in radians) this system can measure is

    (A)R I 

    R I 

    8 8to- +   (B)

    R I 

    R I 

    4 4to- +

    (C)R I 

    R I 

    43

    4to- +   (D)

    R I 

    R I to- +

    Q. 32  The sensitivity/V V i 0qD

     is

    (A) inversely proportional to R and I

    (B) inversely proportional to R and directly proportional to I

    (C) directly proportional to R and I(D) directly proportional to R and inversely proportional to I

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    YEAR 2008 ONE MARK

    Q. 33 For signal conditioning of a piezoelectric type transducer we require

    (A) a charge amplifier (B) a differential amplifier

    (C) an instrumentation amplifier (D) a trans-conductance amplifier

    Q. 34  The temperature being sensed by a negative temperature coefficient (NTC) type

    (A) linearly increase with temperature

    (B) exponentially increase with temperature

    (C) linearly decrease with temperature

    (D) exponentially decrease with temperature

    YEAR 2008 TWO MARKS

    Q. 35  The speed of a gear having 60 teeth is measured using a proximity sensor. The

    output of the proximity sensor is fed to a counter with a gating of 1s. The counterindicates a value of 120. The speed at which the gear is rotating is

    (A) 60 rpm (B) 120 rpm

    (C) 600 rpm (D) 1200 rpm

    Q. 36 A piezoelectric type accelerometer has a sensitivity of 100   g mV/ . The transducer

    is subjected to a constant acceleration of 5g .The steady state output of the

    transducer will be

    (A) 0 V (B) 100 mV

    (C) 0.5 V (D) 5 V

    Q. 37 A par of identical thermo-couples is employed for measuring the temperature of aspeciman as shown. The characteristic is tabulated below. The reference junction

    is at 2 Cc . The meter reads 48 Vm . The correct temperature of the specimen is

     Temperature ( )Cc 0 10 20 30 40 50 60 70 80 90

    Output ( )Vm 35 45 55 65 75 85 95 105 115 125

    (A) 13 Cc   (B) 46 Cc

    (C) 48 Cc   (D) 50 Cc

    Q. 38 A strain gauge has a nominal resistance of 600 W and a gauge factor of 2.5 . The

    strain gauge is connected in a dc  bridge with other resistance of 600 W each. T he

    bridge is excited by a 4 V battery. If the strain gauge is subjected to a strain of

    100 m/ mm , the magnitude of the bridge output will be

    (A) 0 V (B) 250 Vm

    (C) 500 Vm   (D) 750 Vm

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    Q. 39  The torque in a rotating shaft is measured using strain gauges. The strain gauges

    must be positioned on the shaft such that the axes of the strain gauges are at

    (A) 0c with respect to the axis of the shaft

    (B) 30c with respect to the axis of the shaft

    (C) 45c with respect to the axis of the shaft

    (D) 90c with respect to the axis of the shaft

    Q. 40  To reduce the effect of fringing in a capacitive type transducer

    (A) the transducer is shielded and the shield is kept at ground potential

    (B) a guard ring is provided and it is kept at ground potential

    (C) the transducer is shielded and the shield is kept at the same potential as

    the moving plate

    (D) a guard ring is provided and it is kept at the same potential as the moving

    plate

    Q. 41 A 5 MHz acoustic pulse travels from a transducer through a 2 cm thick fat

    tissue before it encounters and interface with a layer tissue at normal incidence.

     The amplitude attenuation factors of fat and liver are 0.075 Npcm 1- / MHz and

    0.1Npcm 1- / MHz respectively. The amplitude reflectivity coefficient of fat-liver

    interface is 0.1. Taking both attenuation and reflection losses into a account, the

    amplitude loss in (in dB) of echo pulse when it returns to the transducers is

    (A) 0.74 (B) .26-

    (C) 6-   (D) 33-

    YEAR 2007 ONE MARK

    Q. 42 Match the essential amplifier characteristics with the sensing applications given

    below :

    Amplifier Characteristics Sensing Applications

    P. Charge amplifier with very low bias

    current and high input impedance.

    L Strain gauge in unipolar DC

    Wheatstone bridge.

    Q. Voltage amplifier with low bias current

    and very high input impedance.

    M Glass electrode pH sensor.

    R. Voltage amplifier with very high

    CMRR.

    N Piezoelectric sensor for

    measurement of static force

    (A) P-L, Q-M, R-N (B) P-M, Q-N, R-L

    (C) P-N, Q-L, R-M (D) R-N, Q-M, R-L

    Q. 43  The figure below shows various configuration of bonding a strain gauge to a

    cantilever subjected to a bending force F.

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    Which configuration given the maximum change in resistance for this force ?

    (A) P

    (B) Q

    (C) R

    (D) All have equal change in resistance

    Q. 44 A Clark oxygen sensor is a

    (A) Potentiometric sensor

    (B) Amperometric sensor

    (C) Conductometric sensor

    (D) Magnetostrictive sensor

    Q. 45 During intravascular measurment of arterial blood pressure, catheters may be

    introduced in different configurations as shown in the figures below :

     The static pressure will be measured correctly in the configuration (s)

    (A) P and Q but not in R (B) R only

    (C) Q only (D) P and R but not in Q

    Q. 46 In N 2-washout estimation of lung volume using spirometry, the lung volumes at

    the beginning and the end of the washout are the same. Let T, V, and F denotetemperature, volume and molar fraction (of N 2) respectively; subscripts S and L

    denote the spirometer and the lung; and t 1 and t 2 the beginning time and the end

    time of the experiment, respectively.

     Then

    (A)( ) ( )( ) ( )

    V T T 

    F t F t  

    F t V t  L

    L

    L L

    s s 

    1 2

    2 2=-= G

    (B)( ) ( )( ) ( )

    V T T 

    F t F t  

    F t V t  L

    L

    L L

    L S 

    1 2

    2 2=-= G

    (C) ( ) ( )V F t V t  L L L1 2=

    (D) ( ) ( )V T F t V t  L S S S  2 2=

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    YEAR 2007 TWO MARKS

    Q. 47  Two sensors have measurement errors that are Gaussian distributed with zero

    means and variance 12s  and 2

    2s , respectively. The two sensor measurements x 1 and

    x 2  are combined to form the weighted average ( ) ,x x x 1 0 11 2  # #

    a a a= + -. Assuming that the measurement errors of the sensors are uncorrelated, the

    weighting factor a that yields the smallest error variance of x  is

    (A)12

    22

    22

    s ss+

      (B)12

    22

    12

    s ss+

    (C)1 2

    2

    s ss+

      (D) 0.5

    Q. 48 A well of cross-sectional areaa w is connected to an inclined tube of cross-sectional

    area a t  to form a differential pressure gauge as shown in the figure below. When

    p p 1 2=  the common liquid level is denoted by A. When p p >1 2, the liquid level

    in the well is depressed to B, and the level in the tube rises by l  along its length

    such that the difference in the tube and well levels is h d .

     The angle of inclination q of the tube with the horizontal is(A) sin

    h    a a 1

    d    t 

    1 -   w- : D  (B) sin l h 

    a a d t 1 +

    w

    - : D(C) sin

    l h 

    a a d t 1 -

    w

    - : D  (D) sin l h 

    a a d 

    1 +   w- : D

    Q. 49  The accompanying figure shows a VERTICAL venturimeter with upward water

    flow. When the measured static pressure difference p p 1 2- , between the inlet and

    the throat is 30 kPa, the flow rate is found to be 50 liters per second. Assume that

    the coefficient of discharge remains the same.

    When p p  201 2- =  kPa, the flow rate in litres per second, is

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    (A) 33.3 (B) 39.3

    (C) 40.8 (D) 54.2

    Q. 50 A thermometer with time constant t, initially at the ambient temperature, is

    used to measure the temperature of a liquid in a both. The excess temperature ofthe thermometer and the liquid over the ambient are ( )t q  and ( )t l q , respectively,

    where t  denotes the time. If ( )t kt l q = , where k  is a constant, the steady state

    error, defined as [ ( ) ( )]lim   t t t 

    l q q-"3

    , is

    (A) 3  (B) 0

    (C) k -   (D) k t-

    Q. 51 In a laminar flow experiment, Fluid A is pumped through a straight tube and

    the volumetric flow rate and pressure drop per unit length are recorded. In a

    second straight tube having twice the internal diameter of the first one, F luid B

    records the same pressure drop per unit length at the same volumetric flow rate.

    Assuming fully developed flow conditions in the tubes, the ratio of the dynamicviscosity of Fluid B to that of Fluid A is

    (A) 16 (B) 32

    (C) 64 (D) 128

    Q. 52 A thermistor has a resistance of k10   W at C25c  and k1   W at C100c . The range of

    operation is C0c - C150c . The excitation voltage is V5  and a series resistor of k1   W

    is connected to the thermistor

     The power dissipated in the thermistor at C150c  is

    (A) 4.0 mW (B) 4.7 mW

    (C) 5.4 mW (D) 6.1 mW

    Q. 53 A pH electrode, being used at C 25c , has a source resistance of 1010W. The

    electrode obeys the Nernst equation perfectly. The electronic voltmeter, with

    which the potential is being measured, has an input impedance of 1011W and a

    gain of 100. If the pH of the analyte changes from 6.5 to 7.8, the change in voltage

    observed on the voltmeter is

    (A) less than 6.8 V (B) between 6.8 V and 7.19 V

    (C) Between 7.2 V and 7.49 V (D) Greater than 7.49 V

    Q. 54 A chamber is heated with a heater of maximum power rating of W1000 . The

    process transfer relationship between the steady state heater power and chamber

    temperature is assumed to be linear with a slope of /W C2   c . T he heater power is

    the sum of the output of a proportional controller having a proportional band of

    200% and a constant offset of W500 . The temperature achieved for a set point

    of C300c  is

    (A) C260c   (B) C60c

    (C) C275c   (D) C150c

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    Statement For Linked Answer Q. 55 and 56 :

    Blood flow through a straight segment of an artery is measured using a Doppler

    flowmeter. The probe is oriented at an angle of 45º to the longitudinal axis of the

    artery. It is known that Doppler shift is proportional to the velocity of the blood in thedirection of propagation of sound from the prob and the frequency generated from the

    probe. The velocity of sound in blood is /m s1500  and the maximum blood flow velocity

    to be measured is /cm s110 .

    Q. 55 Signal processing limitations constrain the maximum Doppler shift to be less

    than kHz3 . The maximum source frequency (probe output), to the nearest MHz,

    should be

    (A) 2 MHz (B) 3 MHz

    (C) 5 MHz (D) 10 MHz

    Q. 56 In above Q., I f the piezoelectric crystal of the probe is made of quartz (Young’s

    modulus /N mY  80 109 2#= , . /kg m265 103 3#r =   the maximum thickness ofthe crystal required to resonate at the frequency determined above, to the nearest

    mm, is

    (A) 1 mm (B) 2 mm

    (C) 3 mm (D) 4 mm

    Statement For Linked Answer Q. 57 and 58 :

    A push-pull capacitive displacement transducer is interfaced to a differential amplifier

    and an ADC shown in the figure below.

    Note that the bridge supply and the analog reference input for the ADC are derived

    from the same 10 V DC source.

    Q. 57  The change in capacitance for full-scale displacement is %5!  for the capacitors.

     The gain of the differential amplifier for utilization of the full range of the ADC(which is V10! ) is

    (A) 10 (B) 20

    (C) 30 (D) 40

    Q. 58 If the supply voltage to the bridge decreases by %5 , the sensitivity of the

    measurement system

    (A) decreases by 5%

    (B) does not change

    (C) increases by 5%

    (D) increase by 200%

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    YEAR 2006 ONE MARK

    Q. 59 “Veena Contracta” is the cross section where the flow area is a minimum for a

    restriction type flowmeter. For an orifice meter, if d  is the diameter of the orifice

    opening, then the area of the vena contracta is approximately(A) d 

    4

    2p   (B) .   d 4

    099 2p

    (C) .   d 4

    08 2p   (D) .   d 4

    06 2p

    Q. 60 A type J (iron-constant) thermocouple has a voltage sensitivity of 55 V/ Ccm  

    A digital voltmeter (DVM) is used to measure the voltage under the condition

    shown in the following figure.

    Given that T 300 C,T 100 C1 2c c= =  and T T 20 C3 4   c= = , the meter will indicate

    a voltage of 

    (A) 11.0 mV (D) 15.4 mV

    (C) 16.5 mV (D) 17.6 mV

    Q. 61 A Pirani gage measures vaccum pressure and works on the principle of 

    (A) Change in ionizing potential

    (B) Change in thermal conductivity

    (C) Deformation of elastic body(D) Change in self-inductance

    YEAR 2006 TWO MARKS

    Statement For Linked Answer Q. 62 and 63 :

    A capacitive type displacement transducer consist of two triangular plates, placed

    side by side, with negligible gap in between them and a rectangular plate moving

    laterally with an uniform air gap of 1mm between the fixed plates and the moving

    plate. The schematic diagram is shown below with appropriate dimension.

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    Q. 62 With the position of the moving plate shown in the figure above, the value of the

    capacitance C 1 and C 2 thus formed are

    (A) C 2.14 pF,C 1.29 pF1 2= =

    (B) C 14.17 pF,C 21.25pF1 2

    = =

    (C) C 339 pF,C 212 pF1 2= =

    (D) C 18.16 nF,C 23.2 nF1 2= =

    Q. 63  The above sensor is incorporated in a capacitance measuring circuit as shown

    in the following figure. Assuming ideal op amp, the output voltage under the

    conditions mentioned above is

    (A) 0.012 V (B) 0.354 V

    (C) 1.23 V (D) 2.541 V

    Q. 64 An accelerator has a seismic mass of g100m and natural frequency of kHz1 , with

    g   the acceleration due to gravity, the static sensitivity of the accelerometer in

    (nm/ g) is

    (A) . /nm g258   (B) . /nm g981#

    (C) . /nm g728 102

    #   (D) . /nm g628#

    Q. 65 A glass plate is overcoated with a thin film as shown below. The reflectance of

    the combination is monitored with a radiation of nm600  wavelength. If n g  and n f   

    are refractive indices of the glass plate and film material respectively with n n >g f   

    then reflectance reaches a minimum when the geometrical film thickness equals

    (A) 600 nm (B) 300 nm

    (C) 150 nm (D) 100 nm

    YEAR 2005 ONE MARK

    Q. 66  The diameter of an aluminium sphere is found to be 50 mm at an atmospheric

    pressure of 105 Pa. The bulk modulus for aluminium is 68.6 GPa. The change in

    the diameter of the sphere in microns, when placed in vaccum is

    (A) 0.018 (B) 0.024

    (C) 0.032 (D) 0.038

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    Q. 67 In a flyball-type angular speed magnitude measuring device, the centrifugal force,

    given 10 6 2w- , where w is the angular speed in rad/ s, is transmitted to a spring

    with the non-linear characteristic F x 16 2 2p= , where F is the applied force and x  

    is the spring compression in meters. The sensitivity of the device in .mm s  is

    (A) 1p

      (B)21p

    (C)31p

      (D)41p

    Q. 68 In a variable-area flowmeter (rotameter), the inlet tube diameter is the same as

    that of the effective float diameter and the tube taper is small. When the volume

    flow rate of a fluid is Q 1, the float stands at a height of 70 mm from the inlet and

    when the volume flow rate of the fluid is Q 2, the float moves to a height of 20 mm

    from the inlet. The ratio of the flow rates /Q Q 1 2 is

    (A) 3.5 (B) 0.29

    (C) 0.082 (D) 12.3

    Q. 69 In a falling-ball viscometer, the ball attains terminal velocities of 0.01 m/ s for oil

    A and 0.002 m/s for oil B. Assuming the oils have the same density and oil A has

    kinematic viscosity of /m s 5 10 3 2#  - , the kinematic viscosity of oil B in /m s 2  is

    (A) 15 10 3#  -   (B) 20 10 3#

      -

    (C) 25 10 3#  -   (D) 30 10 3#

      -

    Q. 70 A thermometer at room temperature C 30c   is dipped suddenly into a bath of

    boiling water at C 100c . I t takes 30 seconds to reach .   C 965c . The time required

    to reach a temperature of C 98c  is

    (A) 32.5 s (B) 34.6 s

    (C) 35.6 s (D) 38.6 s

    Q. 71 A control loop structure is shown in the figure with FC, FT, TC and TT denoting

    Flow Controller, Flow Transmitter, Temperature Controller and Temperature

     Transmitter respectively. This loop is an example of 

    (A) ratio control

    (B) feed forward control

    (C) split range control

    (D) cascade control

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    YEAR 2005 TWO MARKS

    Q. 72 A temperature sensor having a range of 0-100  C c   has a worst case accuracy

    specification of . %10!  of true or . %03!  of full scale, whichever is higher. The

    sensitivity of the sensor is experimentally obtained by taking its readings at truetemperature C 25c  and C 75c . T he maximum error in sensitivity, expressed as

    percentage of its ideal value is

    (A) . %0105!   (B) . %021!

    (C) . %105!   (D) . %21!

    Q. 73 A mercury barometer reads h  mm Hg with the temperature of the mercury at T   

    C c . T he barometer reading corrected for the standard temperature 0  C c  with b 

    denoting the volumetric expansion coefficient of mercury in 0  C  1c   -  is

    (A)T 

    h 1   b+

      (B) ( )h T b +

    (C) ( )h T 1   b+   (D) ( )h T b -

    Q. 74 Figure given below shows an ultrasound flowmeter with the transducers separated

    by a distance L 25= mm with the line joining the transducers making an angle 60c 

    with the direction of the flow. The transit time difference between upstream and

    downstream measurements is 10 ns with the sound velocity in the medium being

    1000 m/ s. Assuming that the size of the transducers is very small as compared to

    the diameter of the pipe, the flow velocity is

    (A) 0.2 m/ s (B) 2 m/ s

    (C) 0.4 m/s (D) 40 m/s

    Q. 75  The two-wattmeter method is used to measure power in a balanced 3-phase

    circuit, drawing lagging current. The power factor if one of the wattmeters reads

    zero is

    (A) 0.5 (B) 0.8

    (C) 1.0 (D) 0

    Common Data For Questions 76, 77 and 78 :

     The temperature-emf characteristics of iron-constantan and copper-constantan

     junctions, with the reference junctions at C 0c , are given by 5.3E   T V1C   m=  and

    43E   T VCC    m= , over an appropriate temperature range, where T   is in C c . It is

    known that AD 590 is an IC temperature sensor with can drive a current of(273 T) Am+  at T Cc  into an appropriate load resistance.

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    Q. 76 An iron-constantan thermocouple has its measuring junction in a both whose

    temperature can vary between 100  C c , the maximum error, expressed as a

    percentage of the emf developed, due to ambient temperature variation in the

    range C 0c , is

    (A) 8.182 (B) 22.5

    (C) 45 (D) 81.82

    Q. 77 A thermocouple is made using a copper and an iron wire. Its measuring junction

    is kept at a temperature of C 100c   and the reference junction is kept at the

    ambient temperature of C 30c . The emf developed would be

    (A) 700 Vm   (B) 1000 Vm

    (C) 3010 Vm   (D) 5300 Vm

    Q. 78 A voltage generated using a AD 590 sensor is used to compensate for ambient

    temperature error for the iron-constantan thermocouple in the circuit shown in the

    figure such that the output voltage V 0 is proportional to the measuring junctiontemperatureT m . The values of R L  and E  for exact compensation, assuming ideal

    components, are

    (A) 1 k W, 273 mV (B) 4.3 k W, 1.174 V

    (C) 5.3 k W 1.447 V (D) 1 k W, 303 mV

    Common Data For Questions 79 and 80 :

    A bonded metal strain gauge has the following specifications :

    Gauge factor = 2.0

    Unstrained resistance = 120 W at C 0c

    Maximum operation temperature = 150   C c

     Temperature coefficient of resistance = ( )   C 2 10 5 1#   c- -

    Maximum tensile and compressive strain = 2 10 2#  -

    Q. 79  The temperature-induced resistance error at the maximum operating temperature

    expressed as the percentage of resistance change due to maximum tensile strain

    only, assuming self-heating effects to be negligible,is

    (A) 0.0625 (B) 0.625

    (C) 6.26 (D) 7.5

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    Q. 80  Two strain gauges, with the specifications given above are mounted on a structural

    member in a push-pull configuration, connected in a bridge along with two

    standard resistances, whose output is fed to an amplifier as shown in the figure.

     The output voltageV 0 per unit battery voltage, under maximum loading, is

    (A) V 04-   (B) .   V 037-

    (C) 0.37 V (D) 0.4 V

    Q. 81 A cantilever type micro-accelerometer is designed by scaling down each dimension

    of a macro-accelerometer by factor of 100. If the natural frequency of the macro-

    accelerometer is w when the natural frequency of the micro-accelerometer will be

    (A) 100w (B) 10w

    (C) .01w (D) .001w

    Q. 82 A pressure sensor has the following specifications: Sensitivity at the

    design temperature /V MPa10= , zero drift . /V C001   c= , sensitivity drift

    . / /V M Pa C  01   c=   ^ h. When the sensor is used in an ambient temperature C20c  above the design temperature, the output from the device is . V74 . The true value

    of the temperature will be

    (A) 0.71 MPa (B) 0.68 MPa

    (C) 0.65 MPa (D) 0.61 MPa

    Q. 83  The torque-speed curve of a constant field armature is controlled DC servometer

    is shown in figure. The armature resistance in ohm and torque constant in N-m/A

    of the motor respectively are

    (A) 1.76, 0.68 (B) 1.75, 0.85

    (C) 2.00, 0.25 (D) 0.01, 0.81

    YEAR 2004 ONE MARK

    Q. 84 A zero error in a vernier caliper is termed as

    (A) accidental error (B) systematic error

    (C) interference error (D) random error

    Q. 85 Filtering is performed in surface finish measurement as a means of separating

    roughness and wavines. In roughness measurement, the wavelengths that are

    filtered out are

    (A) half the cut-off wavelength

    (B) shorter than the cut-off wavelength

    (C) equal to the cut-off wavelength

    (D) longer than the cut-off wavelength

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    Q. 86 For a proving ring used in a press, the value of force and its uncertainty are given

    as 12355 2354!  N without any rounding off. I f the error should be rounded off at

    the maximum to two significant figures only, the value of the reading is rounded

    off as

    (A) 12300 2300!  N (B) 12360 2350!  N

    (C) 12400 2300!  N (D) 12400 2400!  N

    Q. 87 A quartz peizo-electric type pressure sensor has a built in charge amplifier. The

    sensor has a sensistivity of 1 mV/ Pa. It is subjected to a constant pressure of 120

    kPa. The output of the transducer at steady state is

    (A) 0 mV (B) 100 mV

    (C) 120 mV (D) 120 mV

    Q. 88 A thermocouple can be considered as a single capacity system with a time constant

    of 100 ms and unity gain. It is immersed in a heat bath whose temperature is

    varying at 1cC/ s from 0cC. When the actual temperature of the heat bath is 70c

    C, the reading of the thermocouple will be

    (A) .701cC (B) 71cC

    (C) .699cC (D) 69cC

    Q. 89 A viscous damper consists of a sliding piston and a cylinder filled with oil of

    kinematic viscosity 5 10 5#-  m2/ s. A damping force of 20 N is applied on the

    piston and the steady state velocity reached is 10 mm/s. The damping co-efficient

    of the damper is

    (A) 2 Ns/ mm (B) 4 Ns/ mm

    (C) 10 Ns/mm (D) 20 Ns/mm

    Q. 90  To avoid the effect of fringing, the potential of the guard ring of a capacitance

    transducer, shown in Fig. is to be made equal to

    (A) the ground potential

    (B) half of the excitation voltage

    (C) the voltage of the fixed plate

    (D) the voltage of the moving plate

    YEAR 2004 TWO MARKS

    Q. 91 A device for measuring large internal diameters consists of two arms X   andY   of

    length 50 mm each and pivoted at A (Fig. Q.31). T hese are fitted with 3 equal size

    rollers of diameter 10 mm. T he arms are fitted with tilt sensors, which indicate

    the angle of inclination of the arms with reference to the axis of gravity measured

    in clockwise direction . If these angles of inclination of the arms X and Y are 90c 

    and 140c respectively, then the internal diameter of the measured device is

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    (A) 110.6 (B) 118.6 mm

    (C) 120.3 mm (D) 128.3 mm

    Q. 92 An outside micrometer having an anvil and spindle diameter of 6 mm is used for

    measuring the diameter of a cylindrical part having a nominal diameter of 12

    mm. During measurement, misalignment of the centerline of the work piece andmeasuring instrument has occurred. I f the tilt of the shaft axis is 3c then the error

    in the measurement is

    (A) , %1 74   (B) . %276

    (C) . %232 (D) . %186

    Q. 93 A cylindrical piece ground on a center-less grinding machine is uniformly three

    lobed. T he contour of the lobed surface has the smaller radius r  101 =  mm and

    the larger radius .r  1032 =  mm. The size of a truly circular ring gauge, which just

    fits over this cylindrical pies, is

    (A) 20.3 mm (B)20.346 mm

    (C) 20.465 mm (D) 20.521

    Q. 94  The calibration data for a pressure compensator of a pump is given below

    Input x  0 1 2 3 4 5 6 7 8 9 10

    Output y  9.5 8.4 7.8 7.4 6.1 5.4 5.2 4.6 3.2 1.9 1.1

    For the given data, the slope of the best-fit line applying least square method is

    (A) 0.921 (B) .0803-

    (C) 0.819 (D) .0945-

    Q. 95 A cantilever-type micro-accelerometer is designed by scaling down each dimension

    of a macro-accelermeter by a factor of 100. If the natural frequency of the macro-

    accelerometer is w, then the natural frequency of the micro-accelerometer will be(A) 100 w  (B) 10 w

    (C) 0.1 w  (D) 0.01 w

    Q. 96 A pressure sensor has the following specifications :

    Sensitivity at the design temperature 10=  V/ MPa, Zero drift .001=  V/ cC,

    Sensitivity drift .001=  (V/ MPa)/ cC

    When the sensor is used in an ambient 20 cC above the design temperature, the

    output from the device is 7.4 V. T he true value of the pressure will be

    (A) 0.71 MPa (B) 0.68 MPa

    (C) 0.65 MPa (D) 0.61 MPa

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    Q. 97 A variable capacitance angular velocity pickup is made with two concentrically

    mounted parallel semicircular plates with a small separation between them as

    shown in Figure. A dc voltage is connected across the terminals of the capacitance

    sensor as shown. For a constant angular velocity w, the waveform of the current

    ( )i t   will be

    (A) dc (B) sinusoidal

    (C) triangular (D) square

    Q. 98 A strain gauge of resistance 120 W and gauge factor 2.0 is at zero strain condition.

    A 200 kW fixed resistance is connected in parallel with it. Then the combinationwill represent an equivalent strain of 

    (A) 5290+  mm/ m (B) zero

    (C) .1238-  mm/ m (D) 300-  mm/ m

    Q. 99 An iron-constantan thermocouple is to be used to measure temperature between

    0 and 300cC. With reference junction at 0cC, the emf induced at 100cC and 300

    cC are

      E 100  5268m= V, E  16325300 =  mV

     Then the nonlinearity at 100cC as a percentage of full scale is

    (A) . %323+   (B) . %106-

    (C) . %096-   (D) . %323+

    Q. 100 A quarts clock employs a ceramic crystal with a nominal resonance frequency

    of 32.768 kHz. The clock loose 30.32 s every 23 days. The actual resonance

    frequency of the crystal is

    (A) 32.7685 kHz (B) 32.768 kHz

    (C) 32.7675 kHz (D) 32.7670 kHz

    Q. 101 A single-sensor, contact-type ultrasonic flaw detector uses a frequency of 330 kHz.

    When testing a specimen, an echo from a flaw is recorded 0.05 mass after the

    transmitted pulse. I f the velocity of sound in the test object is 6.0 km/ s then the

    flaw is at a depth of (A) 120 cm (B) 60 cm

    (C) 30 cm (D) 15 cm

    Q. 102 An electromagnetic flowmeter is used to measure the average flow rate of a liquid

    in a pipe of diameter 50 mm. The flux density in the liquid has peak value of

    0.1 T. The output from the flowmeter is taken to an amplifier of gain 1000 and

    input impedance of 1 MW. I f the impedance of the liquid between the electrodes

    is 200 kW, then the peak value of the amplifier output voltage for an average flow

    velocity of 20 mm/ s is

    (A) 1.365 V (B) 1 V

    (C) 0.1 V (D) 0.083 V

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    Q. 103  The transmittance of a particular solution measured is T. The concentration of

    the solution is now doubled. Assuming that Beer-Lambert’s law holds good for

    both the cases, the transmittance of the second would be

    (A) T 

    2  (B) T 2

    (C) T 2  (D) T 

    Q. 104 In Fick’s method of cardiac output measurement, oxygen consumption is 200 ml/

    min., arterial oxygen content is 0.30 ml/ ml and venous oxygen content is 0.20 nl/

    ml. The cardiac output in 1/ min. is

    (A) 1 (B) 2

    (C) 0.5 (D) 1.5

    YEAR 2003 ONE MARK

    Q. 105 Which one of the following is a derived unit (NOT a basic unit) in SI system ?(A) Candela (B) Coulomb

    (C) Kelvin (D) mol

    Q. 106 A Pirani gage sensor is used to measure pressure of the order of 

    (A) 10 MPa (B) 1 MPa

    (C) 100 Pa (D) 1 Pa

    Q. 107 Which of the following flow meters has the lowest pressure drop for a given range

    of flow?

    (A) Orifice meter (B) Venturi meter

    (C) Flow Nozzle (D) Rotameter

    Q. 108 Different types of transducers and signal conditioning circuits are given below.

    Match the transducer with the appropriate signal conditioning circuit commonly

    used with it.

    P. Thermocouple 1. DC Bridge

    Q. Strain gage 2. Phase sensitive detector

    R. Piezoelectric 3. Charge amplifier

    S. L.V.D.T 4. Cold junction compensation

    5. Instrumentation amplifier

    (A) P-2, Q-3, R-5, S-1 (B) P-1, Q-5, R-2, S-3

    (C) P-4, Q-1, R-2, S-5 (D) P-4, Q-1, R-3, S-2

    YEAR 2003 TWO MARKS

    Q. 109 An RTD is assumed to be represented in the range 0cC to 100 cC by a linear

    model as

      R T    (1 0.004 )R   T0= +where T is the temperature in C.R 1000c   =   W with a variation of 2!   W. The true

    model of the RTD is

      R  T   R (1 0.004T 6 10 T )07 2

    #= + +

    -

     The worst-case error magnitude in the resistance value that will be introduced, if

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    the linear model is used over a range of 0 to 100 C c , is

    (A) 2W  (B) .28W

    (C) 3.0 W  (D) 3.4 W

    Q. 110 Measurement of large external radius is possible with the help of an angle pieceand a screw gage as shown in Figure. The radius R can be expressed from the

    measurement of H and q as

    (A)1 sinHsin

    qq

    -  (B)

    1 cosHcos

    qq

    -

    (C)1 sinHtan

    qq

    +  (D)

    1 cosHsin

    qq

    -

    Q. 111 A temperature-measuring instrument is modeled as a first order system with a

    time constant of 5s. T he sensor of the instrument is placed inside an oil bath whose

    temperature has a sinusoidal variation with amplitude of 10 cC and a period of

    20s around an average temperature of 200 cC. The sinusoidal component at the

    output of the instrument will have amplitude.

    (A) 0cC (B) .537c C

    (C) .827cC (D) 10cC

    Common Data For Questions 112 and 113 :

     The table provides the thermo-emf sensitivity of five materials with reference to

    platinum around 273 K 

    Material Constantan Nickel Copper Iron Nichrome

    Sensitivity

    (mVK  1- )

    35- 25- 6+ .185+ 25+

    Q. 112  The thermocouple pair that gives the maximum sensitivity around 273 K is(A) Platinum-Constantan (B) Nichrome-Constantan

    (C) Nickel-Constantan (D) Copper-Nickel

    Q. 113  Two copper-constantan thermocouples are connected such that the two constantan

    wires are joined together. The two copper wires are connected to the input of a

    low noise chopper stabilized differentials amplifier having a gain of 1000. One of

    the thermocouple junctions is immersed in a flask containing ice and water in

    equal proportion. The other thermocouple is at a temperature T. I f the output of

    the amplifier is 2.050 V, the temperature T is

    (A) 205c C (B) .1025c C

    (C) .5125cC (D) 50c C

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    Q. 114 An N-type semiconductor strain gage has a nominal resistance of 1000 W and

    gage factor of -100. The resistance of the gage, when a compressive strain of 100

    mm/ m is applied, is

    (A) 900 W  (B) 990 W

    (C) 1010 W  (D) 1100 W

    Q. 115 A signal conditioning circuit suitable for a push-pull type capacitive transducer is

    given in Figure. The output V 0 is

    (A) V E CC

    0 3=-   (B) V E CC

    03

    =-

    (C) V EC CC C

    03

    3=

    +-

    -   (D) V EC CC C

    03

    3=

    -+

    -

    Q. 116 A Piezoelectric transducer with a sensitivity of 2.0 pC/ N having a capacitance

    of 1600 pF and a leakage resistance of 1012W is connected to a charge amplifier

    as shown in F igure. If a force of 0.1 sin 10 t N is applied to the transducer, the

    output-amplitude of the charge amplifier is

    (A) 0.141 mV (B) 0.232 mV

    (C) 1.414 mV (D) 1.732 mV

    Q. 117 In a seismic acceleration sensor, with a displacement transducer as the secondary

    element, decreasing the mass while maintaining all other parameters of the sensor

    unchanged will

    (A) reduce both natural frequency and steady-state sensitivity

    (B) increase both natural frequency and steady-state sensitivity

    (C) increase natural frequency but reduce steady-state sensitivity

    (D) increase natural frequency without affecting steady-state sensitivity.

    Q. 118 For a steady flow of liquid, the float of the rotameter will remain in a particular

    position when

    (A) drag force is balanced by weight of the float and buoyancy force

    (B) weight of the float is balanced by the drag force and buoyancy force

    (C) buoyancy force is balanced by the drag force and weight of the float

    (D) drag force and buoyancy together is slightly greater than the weight of the

    float

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    Q. 119 A resistance R T   of a resistive transducer is modeled as ( )R R K x  1T  = - , where

    K   is the constant of transformation and x  the input quantity being sensed. T he

    resistor is connected to an ideal, opamp signal conditioning circuit of Figure. The

    value of R  is 100 W, K   is 0.004 and x  is 75. The output V 0 is

    (A) 400-  mV (B) 4-  mV

    (C) 300-  mV (D) 600+  mV

    Q. 120 A cardiac output measurement set-up uses the thermo-diluation principle. The

    change in the output temperature is 7cC for 5.60 litres per minute of cardiacoutput with an integration time of 10 s. For a second measurement, with all other

    parameters remaining unchanged, the change in the temperature is 10cC with an

    integration time of 20 s. The cardiac output in litres per minute for this will be

    (A) 5.60 (B) 4.21

    (C) 3.92 (D) 1.96

    YEAR 2002 ONE MARK

    Q. 121 In the case of a variable reluctance type inductive transducer, push-pull

    arrangement reduces non-linearity by eliminating

    (A) the odd order harmonics (B) the even order harmonics

    (C) both odd and even harmonics (D) offset

    Q. 122 A seismic type of transducer has damping constant of 10. The transducer is

    designed to measure

    (A) acceleration (B) velocity

    (C) displacement (D) force

    Q. 123 A thermocouple is suddenly immersed in a medium of high temperature. The

    approximate time taken by the thermocouple to reach 98% of the steady state

    value is

    (A) equal to the time constant of the thermocouple(B) equal to twice the value of the time constant of the thermocouple

    (C) equal to four times the value of the time constant of the thermocouple

    (D) independent of the time constant

    Q. 124 A capillary viscometer, with known dimensions, is used for measuring dynamic

    viscosity of oil. In order to obtain viscosity, it is necessary and sufficient if one

    measures

    (A) pressure drop across the capillary

    (B) volume of fluid collected in a given time

    (C) Both A and B(D) Not only A and B but also one must ensure that the flow is laminar

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    Q. 125  The sensing element of a thermocouple at its hot junction is provided with a

    shield while taking measurements in a high temperature gas. The principal reason

    for providing the shield is

    (A) to reduce conduction and convection errors

    (B) to reduce radiation error

    (C) to provide temperature compensation to the Seebeck voltage

    (D) to improve air supply to the sensing element for better response

    Q. 126 A pitot-static tube is used for measuring velocity of a gas, flowing in a duct. The

    velocity is proportional to

    (A) square root of the total pressure measured by the tube

    (B) the total pressure measured by the tube

    (C) difference between total and static pressures

    (D) square root of the difference between total and static pressures

    Q. 127 A temperature measuring system consists of a sensor and a thermal-well. Each

    of them can be considered as a single capacity system with the capacity of the

    thermal-well higher than that of the sensor. The overall measuring system will

    (A) have equal time constants (B) have zero damping

    (C) be a non-interactive system (D) be an interactive system

    YEAR 2002 TWO MARKS

    Q. 128 In a rotameter, used for measuring flow rate of a fluid, p a  = pressure above the

    float, p b  = pressure below the float, A = area of float, V  = volume of the float,

    d 1 = density of float material, d 2 = density of the fluid, g = acceleration due togravity.

    Which of the following equations describes the equilibrium of the float

    (A) p p A V g d d  b a  2 1- = -^ ^h h

    (B) p p A V g d d  a b  2 1+ = +^ ^h h

    (C) p p A V g d d  a b  2 1- = -^ ^h h

    (D) p p A V g d d  b a  2 1- = +^ ^h h

    Q. 129 A quartz crystal (Young’s modulus /N mE  9 1010 2#= ) with piezoelectric

    properties has a diameter of mm10  and thickness of mm2 . Its voltage sensitivity

    constant is /V m4500   m . If the voltage output is . V1273 , the applied load is

    approximately

    (A) 100 N (B) 200 N

    (C) 127.3 N (D) 6.4 N

    Q. 130 One method of measuring the radius of an arc R ^ h, is to allow a roller of radiusr ^ h to oscillate to and fro on the arc and measure the average time per oscillation

    T    second. The roller will then have a linear acceleration of /g2 3, where g   is

    acceleration due to gravity. In such an experiment, the value of radius of arc can

    be found from the expression

    (A) /T g r 62 2p +^ h   (B) /T g r 62 2p -^ h

    (C) /T g  62 2p^ h

      (D) /r T g 6 2 2

    ^ h

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    YEAR 2001 ONE MARK

    Q. 131  The pH value of a solution is 4. It indicates that concentration of hydrogen ions is

    (A) /g L10 4-  and the solution is acidic

    (B) /g L104-

     and the solution is alkaline(C) /mg L104  and the solution is acidic

    (D) /mg L10 4-  and the solution is alkaline

    Q. 132 For flow measurement, a rotameter can be installed in a pipe line

    (A) horizontally with flow inlet in a specific direction

    (B) horizontally with flow inlet in any direction

    (C) vertically with flow inlet at the bottom and the outlet at the top

    (D) vertically with flow inlet at the top and outlet at the bottom

    Q. 133 An example of a positive displacement flow meter is

    (A) orifice meter (B) rotary vane type meter

    (C) turbine type meter (D) ultrasonic flow meter

    Q. 134 A gas chromatograph is used for

    (A) measuring flow rate of a gas

    (B) measuring the temperature of a gas

    (C) measuring the pressure of a gas

    (D) analysing the composition of a gas

    YEAR 2001 TWO MARKS

    Q. 135 In the context of transducers, identify the correct matches.

    List I List II

    P. Mean free path 1. Optical pyrometer

    Q. Humidity 2. Knudsen gauge

    R. Heat transfer coefficient 3. Sling psychrometer

    S. Intensity of radiation 4. Hot wire anemometer

    (A) P-1, Q-2, R-3, S-4 (B) P-2, Q-1, R-4, S-3

    (C) P-3, Q-4, R-1, S-2 (D) P-2, Q-3, R-4, S-1

    YEAR 2000 ONE MARK

    Q. 136  The resistance temperature characteristics of a temperature transducer is shown

    in figure. The transducer is

    (A) nickel RTD (B) NTC thermistor(C) platinum RTD (D) PTC thermistor

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    Q. 137 Identify the correct set of matches from the following.

    List I List II

    P. Electron capture detector 1. IR spectroscopy

    Q. Scintillation counter 2. Oxygen analyser

    R. Thermopile 3. Gas chromatography

    S. Zirconia probe 4. Nuclear radiation spectroscopy

    (A) P-4, Q-1, R-2, S-3 (B) P-2, Q-4, R-1, S-3

    (C) P-3, Q-1, R-4, S-3 (D) None of the above

    Q. 138 Identify the correct set of matches from the following.

    List I List II

    P. LVDT 1. Reference junction compensation

    Q. Piezoelectric crystal 2. Charge amplifier

    R. pH probe 3. Phase sensitive detector

    S. Thermocouple 4. High input impedance amplifier

    (A) P-1, Q-3, R-4, S-2 (B) P-3, Q-2, R-4, S-1

    (C) P-4, Q-1, R-2, S-1 (D) None of the above

    Q. 139 Identify the correct set of matches from the following.

    List I List II

    P. Pirani gauge 1. Temperature measurement

    Q. Venturi meter 2. Vacuum pressure measurement

    R. Radiation pyrometer 3. Force measurementS. Load cell 4. Flow measurement

    (A) P-2, Q-1, R-4, S-3 (B) P-4, Q-3, R-2, S-1

    (C) P-2, Q-4, R-1, S-3 (D) None of the above

    YEAR 2000 TWO MARKS

    Q. 140 Among the bonded metal strain gauges, the foil type is more popular than the

    wire type because

    (A) error due to transverse strain is much less in foil type

    (B) gauge factor is much higher in foil type(C) the foil type is much more insensitive to temperature variation

    (D) None of the above

    Q. 141 In a gas chromatograph, the gas which cannot be used as a carrier gas is

    (A) helium (B) nitrogen

    (C) ammonia (D) oxygen

    Q. 142 Which of the following restrictors has the highest discharge coefficient?

    (A) Orifice plate (B) Flow nozzle

    (C) Venturi tube (D) None of these

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    Q. 143  The characteristics of a control valve is shown in figure. The type of the valve is

    (A) equal percentage (B) linear

    (C) quick opening (D) None of these

    **********

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    ANSWER KEY

    TRANSDUCER, MECH. MEASUR. AND INDUS. INSTRU.

    1 2 3 4 5 6 7 8 9 10

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

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

    21 22 23 24 25 26 27 28 29 30

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

    31 32 33 34 35 36 37 38 39 40

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

    41 42 43 44 45 46 47 48 49 50

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

    51 52 53 54 55 56 57 58 59 60

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

    61 62 63 64 65 66 67 68 69 70

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

    71 72 73 74 75 76 77 78 79 80

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

    81 82 83 84 85 86 87 88 89 90

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

    91 92 93 94 95 96 97 98 99 100

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

    101 102 103 104 105 106 107 108 109 110

    (D) (A) (D) (B) (B) (*) (*) (D) (*) (A)

    111 112 113 114 115 116 117 118 119 120

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

    121 122 123 124 125 126 127 128 129 130

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

    131 132 133 134 135 136 137 138 139 140

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

    141 142 143

    (C) (C) (A)