SSB SI Communication
SSB SI Communication
                                                                                                               el
       Date of Written Examination : 16.09.2018                                                PAPER - II
                                                                                                     nn
      fu/kkZfjr le;                        2 ?kaVs                                        iz”u iqfLrdk dksM
      Time Allowed                         2 hrs.                                   Question Booklet Code
                                                                                      ha
      vf/kdre vad
      Max. Marks
                                           100
                                           100                                                 A
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                      bl iz”u&iqfLrdk dh lhy rc rd u [kksysa tc rd dgk u tk,
                                                                              e
                            Do not open the seal of the Booklet until you are told to do so
                                                                      ub
 bl iz'u&iqfLrdk dks [kksyus ls igys ,oe~ iz'uksa ds mÙkj nsus ls igys bl i`"B ij ,oe~ iqfLrdk ds lcls
 ihNs ds i`"B ij fy[ks vuqns'kksa dks /;ku ls i<+ ysaA
                                                               ut
 Read carefully the instructions given on this page as well as on the last page of this Question-Booklet
                                                     Yo
before you open the Booklet and begin to answer the questions.
 1.   ijh{kkFkhZ vius fn;s x;s vuqØekad dks bl i`"B ds                1. Candidate must write his/her Roll Number in the
                              ud
      Åij fn, x, LFkku ij vo'; fy[ksaA                                   space provided on the top of this page.
 2.   ijh{kkFkhZ vius mÙkj dsoy mÙkj&iqfLrdk ij gh vafdr              2. Candidate should mark his/her answer only on the
                     St
      djsa] tks vyx ls nh tk jgh gSA                                     answer sheet which is being provided separately.
 3.   ;g vR;Ur egRoiw.kZ gS fd ijh{kkFkhZ mÙkj&iqfLrdk esa            3. It is most important that a Candidate must fill up
      isu ls viuk uke] jksy uEcj] dsUæ] in] iz'u&iqfLrdk
          m
      dks ugha Hkjrk gS rks mldh mÙkj&iqfLrdk tk¡ph ugha                 pen in the answer sheet. If details are not completed
Ex
 4.   bl iz'u&iqfLrdk esa dqy 28 i`"B gSa ftuesa ijh{kkFkhZ dks       4. There are 28 pages in this Question Booklet,
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      gSaA                                                               the Room Invigilator to change the same within first
                                                                         10 minutes of the start of the Examination.
 1.     Atomic number represents :                    1.   ijek.kq la[;k iznf'kZr djrh gS %
        (A)     no. of electron                            (A)     bysDVªkuW dh la[;k
        (B)     no. of proton                              (B)     izksVkWu dh la[;k
        (C)     no. of neutron                             (C)     U;wVªkWu dh la[;k
        (D)     no. of electron and proton both            (D)     bysDVªkWu o izksVkWu nksuksa dh la[;k
                                                                                        el
 2.     Species having similar mass number (A)        2.   og Li'kht ftudh nzO;eku la[;k (A) leku
                                                           gks o ijek.kq la[;k (Z) fHkUu gks -----
                                                                               nn
        and different atomic number (Z) are known
        as :                                               dgykrh gS %
                                                                  vkblksVksi
                                                                  ha
        (A)     isotope                                    (A)
        (B)     isobar                                     (B)    leHkkfjd
                                                                  vkblksVksu
                                                                 C
        (C)     isotone                                    (C)
        (D)     isodiaphers                                (D)    vkblksMkbQlZ
                                                           e
 3.     "Shape of the sub-shells" can be estimated
        by which quantum number ?
                                                     ub
                                                      3.   fdlh ^lc'ksy dk vkdkj* fdl DokaVe la[;k
                                                           ls vuqekfir fd;k tk ldrk gS \
                                                  ut
        (A)     Principal quantum number                   (A)    fizafliy DokaVe la[;k
        (B)     Azimuthal quantum numbers                  (B)    ,ftewFky DokaVe la[;k
                                      Yo
                                                           (B)
        (B)     p-orbital
                                                           (C)    d - vkfcZVy
        (C)     d-orbital
                                                                  p ,oa d vkfcZVy
       m
 Paper-II/Technical-104/42-A                      ( 3 )                                          [P.T.O.]
 6.     Bond order is directly proportional to :          6.    ca/k dksfV lh/ks lekuqikrh -------- gksrk gSA
        (A)     stability of molecules                          (A)       v.kqvksa ds LFkkf;Ro ds
        (B)     dissociation energy                             (B)       fo;kstu ÅtkZ ds
        (C)     bond length                                     (C)       vkca/k yEckbZ ds
        (D)     (A) and (B) both                                (D)       (A) o (B) nksuksa ds
                                                                                            el
 7.     Half life period of second order reaction is      7.    f}rh; dksfV vfHkfØ;k dh v)Zvk;q dky
                                                                ------- ds }kjk fudkyk tk ldrk gSA
                                                                                      nn
        given by :
        (A)     t1/2= 0.693/K                                   (A)     t1/2= 0.693/K
                                                                       ha
        (B)     t1/2= a/2K                                      (B)     t1/2= a/2K
        (C)     t1/2 = 1/Ka                                     (C)     t1/2 = 1/Ka
                                                                      C
        (D)     3/2Ka2                                          (D)     3/2Ka2
                                                                e
 8.     As the wavelength of electromagnetic              8.    fdlh fo|qr&pqEcdh; fofdj.k dh rjaxnS?;Z
        radiation increases, frequency will be :
        (A)     decreases
                                                          ub    tSls&tSls c<+rh gS] bldh vko`fÙk gksxh -----
                                                                (A)     ?kVsxh
                                                   ut
        (B)     increases                                       (B)     c<sx+ h
        (C)     no change                                       (C)     vifjofrZr
                                         Yo
(D) first increases then decreases (D) igys c<+sxh] fQj ?kVsxh
 9.                                                       9.
        gases is :                                              gksrk gS --------
                         ud
 10.    The fraction of the total current carried by an   10.   fdlh vk;u }kjk dqy fo|qr /kkjk ds ogu
   a
 Paper-II/Technical-104/42-A                          ( 4 )
 11.    With increase in temperature, resistance of a   11.   rkieku esa o`f) ds lkFk] v/kZpkyd dk
        semiconductor :                                       izfrjks/k %
        (A)     increases                                     (A)       c<+rk gS
        (B)     decreases                                     (B)       de gks tkrk gS
        (C)     remains constant                              (C)       fLFkj jgrk gS
                                                                                             el
        (D)     None of the above                             (D)       mijksä eas ls dksbZ ugha
 12.    What is the reactance value for a capacitor     12.   DC lfdZV esa LFkkfir la/kkfj= ds fy, izfr?kkr
                                                                                   nn
        installed in a DC circuit ?                           dk eku gksrk gS %
                                                                        'kwU;
                                                                     ha
        (A)     Zero                                          (A)
        (B)     Moderate                                      (B)       e/;e
                                                                    C
        (C)     Infinite                                      (C)       vuar
        (D)     None of the above                             (D)       mijksä esa ls dksbZ ugha
                                                              e
 13.    Rectifier output polarity depends upon :        13.   jsfDVQk;j vkmViqV /kqzork fuHkZj djrh gS %
        (A)     Cycle of input
                                                        ub    (A)       buiqV dk pØ ij
                                                 ut
        (B)     Capacitor polarity                            (B)       la/kkfj= /kqzoh;rk ij
        (C)     Half and full wave                            (C)       vk/kk vkSj iw.kZ rjax ij
                                        Yo
        a network Thevenin's theorem is used                  ds fy;s Fksofs uu ize;s dk mi;ksx fd;k tkrk gS]
        VTH=20V and RTH=5 : . The current through             ftldk VTH=20V rFkk RTH=5 : , izfrjks/k ds
                           ud
        (A)     4A                                            (A)      4A
        (B)     4A or more                                    (B)      4A ;k
                                                                           vf/kd
       m
 Paper-II/Technical-104/42-A                        ( 5 )                                            [P.T.O.]
 16.    2'S complement of binary number 0101 is :      16.   f}vk/kkjh la[;k      0101   dk   2'S iwjd   gS %
        (A)      1011                                        (A)       1011
        (B)      1111                                        (B)       1111
        (C)      1101                                        (C)       1101
        (D)      1110                                        (D)       1110
                                                                                              el
 17.    In the expression A+BC, the total number of    17.   A+BC O;atd       esa U;wure inksa dh dqy la[;k
                                                                                   nn
        minimum terms will be :                              gksxh %
        (A)      2                                           (A)       2
                                                                    ha
        (B)      3                                           (B)       3
                                                                   C
        (C)      4                                           (C)       4
        (D)      5                                           (D)       5
                                                             e
                                                             fMftVy flLVe esa ewy Hk.Mkj.k rRo
 18.    The basic storage system element in a
        digital system is :
                                                       ub
                                                       18.
                                                             gS %
                                                ut
        (A)      Flip-flop                                   (A)    f¶yi&¶ykWi
        (B)      Counter                                     (B)    dkmaVj
                                       Yo
 19.    The number of distinct Boolean expression of   19.   4 pj okys fof'k"V cwfy;u O;atdksa dh la[;k
                              ud
        4 variable is :                                      gS %
        (A)      16                                          (A)       16
                St
        (D)      65536
                                                             ,d lqpkyd esa fo|qr&pqEcdh; rjax osx
Ex
 Paper-II/Technical-104/42-A                       ( 6 )
 21.    A uniform wave is one in which :                21.   ,d leku rjax og gS] ftlesa %
        (A)     EuH           0                               (A)      EuH        0
        (B)     E.H       0                                   (B)      E.H    0
        (C)     E and H parallel                              (C)      E   vkSj H lekukUrj
        (D)     E and H in a plane                            (D)       E vkSj H ,d ry esa
                                                                                            el
 22.    Which of the following oscillator is suitable   22.   MHz jsUt dh vko`fÙk;ksa ds fy, fuEufyf[kr
                                                              esa ls dkSu&lk vkWlhysVj mi;qä gS \
                                                                                      nn
        for frequencies in the range of MHz ?
        (A)     R-C phase shift                               (A)       R-C Qst f'k¶V
                                                                     ha
        (B)     Wien-Bridge                                   (B)      fo;su&fczt
        (C)     Hartley                                       (C)      gkVZys
                                                                    C
        (D)     Both (A) and (C)                              (D)       (A) vkSj (C) nksuksa
 23.    For a system to work as an oscillator the       23.   ,d iz.kkyh ds fy, vkWlhVsyj ds :i esa dke
                                                              e
        total phase shift of the loop gain must be            djus ds fy,] ywi ykHk dh dqy Qst f'k¶V
        equal to :
        (A)     900
                                                        ub    cjkcj gksuh pkfg, %
                                                              (A)      900
                                                 ut
        (B)     450                                           (B)      450
                                        Yo
 25.    A carrier wave is simultaneously modulated      25.   ,d okgd rjax ,d lkFk nks lkbu rjaxksa
   a
        by two sine waves having modulation                   }kjk ekWM;~ wy fd;k x;k gS ftlesa ekWM;~ yw s'ku
Ex
        indices 0.4 and 0.3, the total modulation             baMsDl 0.4 vkSj 0.3 gS] dqy ekWM~;wys'ku
        index will be :                                       baMsDl gksxk %
        (A)     0.1                                           (A)      0.1
        (B)     0.7                                           (B)      0.7
        (C)     0.5                                           (C)      0.5
        (D)     0.35                                          (D)      0.35
 Paper-II/Technical-104/42-A                        ( 7 )                                            [P.T.O.]
 26.    In color TV receiver, varactor diode is used      26.   jaxhu Vh-oh- fjlhoj esa] oSjSDVj Mk;ksM dk
        for :                                                   mi;ksx fd;k tkrk gS %
        (A)      Detection                                      (A)      [kkst ds fy,
        (B)      Rectification                                  (B)      jsfDVfQds'ku ds fy,
        (C)      Tuning                                         (C)      V~;wfuax ds fy,
        (D)      Both (A) and (B)                               (D)      (A) vkSj (B) nksuksa
                                                                                           el
 27.    When channel is noisy, producing a                27.   tc pSuy esa 'kksj gksrk gS rc p=0.5
        conditional probability of error p=0.5; the             dh l'krZ =qfV dh izkf;drk mRiUu djrk
                                                                                   nn
        channel capacity and entropy function would             gS( pSuy {kerk vkSj ,aVªkWih Qyu Øe'k%
        be respectively :                                       gksxk %
                                                                       ha
        (A)      1 and 1                                        (A)      1 vkSj 1
        (B)      1 and 0.5                                      (B)      1 vkSj 0.5
                                                                      C
        (C)      0.5 and 1                                      (C)      0.5 vkSj 1
        (D)      0 and 1                                        (D)      0 vkSj 1
                                                                e
 28.    A 20m antenna gives a certain uplink              28.   ,d 20 ehVj ,aVhuk 4-6 xhxkgVZt~ cSaM dh
        gain at frequencies of 4-6 GHz band.
        For getting same gain in the
                                                          ub    vko`fÙk;ksa ij ,d fuf'pr vifyad ykHk nsrk
                                                                gSA 20-30 xhxkgVZt~ cSaM esa leku ykHk izkIr
                                                   ut
        20-30 GHz band, antenna height required                 djus ds fy,] ehVj esa ,aVhuk špkbZ dh
                                         Yo
        (C)      1                                              (C)     1
                        ud
        (D)      10                                             (D)     10
 29.    A communication satellite is a repeater           29.   ,d lapkj mixzg buds chp fjihVj gksrk
        between :                                               gS %
                St
        (A)      A transmitting station and a receiving         (A)     ,d izs"k.k LVs'ku vkSj ,d izkIr
                 station                                                LVs'ku
       m
        (B)      A transmitting station and many                (B)     ,d izs"k.k LVs'ku vkSj dbZ izkIr
                                                                        LVs'ku
   a
                 receiving stations
                                                                        dbZ izs"k.k LVs'ku vkSj dbZ izkIr
Ex
                                                                                       el
        (D)       Reject image frequency               (D)      Nfo vko`fÙk vLohdkj djrk gS
                                                       jsfM;ks fjlhoj esa EM 84 V~;wc dk mi;ksx
                                                                              nn
 32.    EM 84 tube is used in radio receiver     32.
        as :                                           fd;k tkrk gS %
                                                              ha
        (A)       Audio amplifier                      (A)      vkWfM;ks ,EiyhQk;j ds :i esa
        (B)       Magic eye                            (B)      eSftd vkbZ ds :i esa
                                                             C
        (C)       Full wave rectifier                  (C)      iw.kZ rjax jsfDVfQds'ku ds :i esa
                                                                RF ,EiyhQk;j ds :i esa
                                                       e
        (D)       RF amplifier                         (D)
 33.    Loss angle of a good quality cable is
        about :
                                                 ub
                                                 33.   ,d vPNh xq.koÙkk dscy dk ykWl dks.k gksrk
                                                       gS %
                                             ut
                   0                                              0
        (A)       1                                    (A)      1
                                          Yo
                       0                                              0
        (B)       30                                   (B)      30
                       0                                              0
        (C)       70                                   (C)      70
                       0                                              0
        (D)       90                                   (D)      90
                                  io
                           0                                              0
        (A)       100                                  (A)      100
                       0                                              0
        (B)       50                                   (B)      50
       m
                   0                                              0
        (C)       5                                    (C)      5
   a
                   0                                              0
        (D)       1                                    (D)      1
Ex
 35.    The number of valence electron in        35.   isaVkoSyaVs v'kqf) esa oSyals bysDVªkWuksa dh la[;k
        pentavalent impurity is :                      gksrh gS %
        (A)       5                                    (A)      5
        (B)       4                                    (B)      4
        (C)       3                                    (C)      3
        (D)       1                                    (D)      1
 Paper-II/Technical-104/42-A                 ( 9 )                                              [P.T.O.]
 36.    If Hr' and H "r are the real and imaginary part   36.   ;fn Hr' vkSj H "r tfVy ijkoS|qrkad Hr ds
        of complex dielectric constant Hr and G is              eku ds okLrfod vkSj dkYifud fgLls gSa
        the loss angle then :                                   vkSj G ykWl dks.k gksrk gS] rc %
                         Hr'                                                     H r'
        (A)      tanδ                                           (A)      tanδ
                         H"r                                                     H "r
                                                                                             el
                         H"r                                                     H "r
                                                                                        nn
        (B)      tanδ                                           (B)      tanδ
                         Hr'                                                     H r'
                                                                       ha
        (C)      tanδ    Hr' H"r                                (C)      tanδ    Hr' H"r
                                                                      C
 37.    The units of P o and P r are :                    37.   Po    vkSj Pr dh bdkb;k¡ gSa %
                                                                e
        (A)     H/m for both                                    (A)       nksuksa ds fy, H/m
        (B)     H/m for Pr and no unit for                ub    (B)       P r ds fy, H/m vkSj P o ds fy,
                                                                          dksbZ bdkbZ ugha
                Po
                                                   ut
        (C)     H/m for P o and no unit for                     (C)       P o ds fy, H/m vkSj P r ds fy,
                                         Yo
 38.    In the series R-C circuit 12V rms is measured     38.   Js.kh R-C lfdZV esa izfrjks/k ds fljksa ij 12V
                        ud
        across the resistor and 15V rms is measured             rms oksYVst ekik x;k gS vkSj la/kkfj= ds
        across the capacitor, the rms source voltage            fljksa ij 15V rms oksYVst ekik x;k gS] rc
                St
                                                                                               el
        (A)     MAN                                            (A)      MAN
        (B)     MANET                                          (B)      MANET
                                                                                    nn
        (C)     LAN                                            (C)      LAN
        (D)     LANET                                          (D)      LANET
                                                                      ha
 42.    Number of bits per symbol used in Bandot         42.   cSaMksV dksM esa bLrseky izfr izrhd] fcV~l dh
        code is :                                              la[;k gS %
                                                                     C
        (A)     7                                              (A)      7
        (B)     8                                              (B)      8
                                                               e
        (C)     5                                              (C)      5
 43.
        (D)     9
        Graphical representation of linear block
                                                         ub
                                                         43.
                                                               (D)      9
                                                               jSf[kd CykWd dksM ds xzkfQdy izLrqfrdj.k
                                                  ut
        code is known as :                                     dks tkuk tkrk gS %
                                         Yo
                                                                                               el
        (D)     S, Z, AC, P, OV                              (D)       S, Z, AC, P, OV
 47.    The oxide layer formed in the MOSFET           47.   MOSFET esa      cukbZ xbZ vkWDlkbM ijr gksrh
                                                                                     nn
        is :                                                 gS %
        (A)     Metal oxide                                  (A)      /kkrq vkWDlkbM
                                                                     ha
        (B)     Silicon dioxide                              (B)      flfydkWu MkbvkWDlkbM
                                                                      ikWyh flfydkWu vkWDlkbM
                                                                    C
        (C)     Poly silicon oxide                           (C)
        (D)     Oxides of non-metal                          (D)      v/kkrq ds vkWDlkbM
                                                             e
 48.    The n-MOSFET is working as accumulation        48.   n-MOSFET lap; eksM ds :i esa dke djrk
        mode, when :
        (A)     Gate is applied with negative
                                                       ub    gS] tc %
                                                             (A)      xsV udkjkRed oksYVst ds lkFk ykxw
                                                ut
                voltage                                               fd;k tkrk gS
                                                                      xsV ldkjkRed oksYVst ds lkFk ykxw
                                       Yo
 49.    In chromatic dispersion, which parameter for   49.   jaxhu o.kZ fo{ksi.k es]a izkIr flXuy ds ekWM;~ yw 's ku
        the modulation of the received signal is             esa dkSu&lk iSjkehVj osDVj oksYVehVj dh
               St
                                                                                          el
                                           &                                   &
 52.
                                     &
        If T is the angle between a and b then         52.   ;fn T a& vkSj b ds chp dk dks.k gS rks
          & &                                                 & &
                                                                                   nn
          a ub                                                a ub
           & & is equal to :                                   &&     cjkcj gS %
           a .b                                                a .b
                                                                    ha
        (A)      - cot T                                     (A)      - cot T
        (B)      cot T                                       (B)      cot T
                                                                   C
        (C)      - tan T                                     (C)      - tan T
        (D)      tan T                                       (D)      tan T
                                                             e
 53.    Electric field intensity on the surface of a   53.   ,d pktZ dUMDVj dh lrg ij fo|qr {ks=
        charged conductor is :
        (A)      Zero
                                                       ub    rhozrk gS %
                                                             (A)     'kwU;
                                                ut
        (B)      Directed normally to the surface            (B)     lrg ls yEcor~
                                                                     laxr :i ls funsZf'kr
                                       Yo
        system is :                                          :i gS %
                  & &                                                  & &
                  .E U / H0                                           .E    U / H0
                       ud
        (A)                                                  (A)
                         &                                                   &
        (B)       H0 divE U                                  (B)       H0 divE U
               St
                          B                                                       B
        (A)     P    A                                                P     A
Ex
                          O2                                 (A)
                                                                                  O2
                     A B                                                     A B
        (B)     P                                           (B)       P      
                     J O2                                                    J O2
                          B                                                       B
        (C)     P    A                                      (C)       P     A
                          O2                                                      O2
                     A B                                                     A B
        (D)     P                                           (D)       P      
                     J O2                                                    J O2
 Paper-II/Technical-104/42-A                      ( 13 )                                          [P.T.O.]
 56.    Rainbow is formed due to combination of :          56.   banz/kuq"k ds la;kstu ds dkj.k gSa %
        (A)     Refraction and scattering                        (A)        viorZu vkSj fc[kjus
        (B)     Refraction and absorption                        (B)        viorZu vkSj vo'kks"k.k
        (C)     Dispersion and total internal reflection         (C)        QSyko vkSj iw.kZ vkarfjd ijkorZu
        (D)     Dispersion and focusing                          (D)        QSyko vkSj dsfUnzr
 57.    The concept of displacement current is             57.   foLFkkiu /kkjk dh vo/kkj.kk is'k fd;k Fkk %
                                                                                               el
        introduced by :                                          (A)     ,fEi;j us
                                                                                     nn
        (A)     Ampere
                                                                 (B)     gV~t+Z us
        (B)     Hertz
                                                                        ha
        (C)     Maxwell                                          (C)     eSDlosy us
        (D)     Gauss                                            (D)     xkWl us
                                                                       C
                                      &                                                    &
 58.    Magnetic vector potential A is related with        58.   pqEcdh; lfn'k foHko       A   fo|qr foHko V ls
                                                                 lEcfU/kr gS %
                                                                 e
        electrostatic potential V through the relation:
        (A)
                      &
                 divA  H0P0
                                wV
                                 wt
                                        0                  ub    (A)
                                                                            &
                                                                         divA  H0P0
                                                                                      wV
                                                                                       wt
                                                                                           0
                                                    ut
                      &         wV                                          &         wV
        (B)      divA  H0P0            0                        (B)     divA  H0P0       0
                                 wt                                                    wt
                                              Yo
                       &         wV                                           &        wV
        (C)      curl A  H0P0           0                       (C)     curl A  H0P0      0
                                  wt                                                    wt
                                    io
                       &         wV                                           &        wV
        (D)      curlA  H0P0            0                       (D)     curl A  H0P0      0
                                  wt                                                    wt
                        ud
                 ( 2 n  1 )O                                             ( 2 n  1 )O
                                  d sin T                                                d sin T
Ex
        (D)                                                      (D)
                       2                                                        2
 60.    Number of atoms per unit cell of BCC is :          60.   chlhlh ds izfr ;wfuV lsy ij ijek.kqvksa dh
        (A)     4                                                la[;k gS %
                                                                 (A)     4
        (B)     2
                                                                 (B)     2
        (C)     1                                                (C)     1
        (D)     3                                                (D)     3
 Paper-II/Technical-104/42-A                          ( 14 )
 61.    Splitting of spectral line in magnetic field is   61.   pqacdh; {ks= esa o.kZØeh; js[kkvksa dk foHkktu
        explained by :                                          ------ }kjk le>k;k x;k gS %
        (A)      Compton                                        (A)     dkWEiVu
        (B)      Raman                                          (B)     jeu
        (C)      Zeeman                                         (C)     theku
        (D)      Stark                                          (D)     LVkdZ
                                                                                                el
 62.    A simple harmonic oscillator has an               62.   ,d lk/kkj.k gkeksZfud vkWflysVj esa vk;ke A
                                                                                    nn
        amplitude A and the time period T. The time             vkSj vkorZdky T gS] bls x=A ls x = A/2 rd
        required by it to travel from x = A and                 tkus esa le; yxsxk %
                                                                       ha
        x = A/2 is :                                            (A)     T/6
        (A)      T/6
                                                                      C
                                                                (B)     T/4
        (B)      T/4
        (C)      T/3                                            (C)     T/3
                                                                e
        (D)      T/2
                                                          ub    (D)     T/2
 63.    Circular motion of a particle whose speed         63.   ,d d.k dh o`Rrh; xfr ftldh pky ,d
                                                   ut
        is constant, is :                                       leku gS %
                                         Yo
        (A)      Periodic and simple harmonic                   (A)    vkorhZ; vkSj ljy gkeksZfud
        (B)      Simple harmonic but non-periodic               (B)    ljy gkeksZfud ysfdu xSj&vkorhZ;
        (C)      Periodic but not simple harmonic               (C)    vkorhZ; ysfdu ljy gkeksZfud ugha
                                  io
        (D)      Neither periodic nor simple                    (D)    u rks vkorhZ; vkSj u gh ljy
                                                                       gkeksZfud
                        ud
harmonic
                                                          64.
        (A)     Drift of holes                                  (A)       gksy dk cgko
        (B)     Drift of electrons                              (B)       bysDVªkuksa dk cgko
       m
 65.    Which property shows the sure test of             65.   dkSu&lk xq.k pqca d dk fuf'pr ijh{k.k fn[kkrk
        magnet ?                                                gS %
        (A)    Attractive                                       (A)     vkd"kZ.k
        (B)    Repulsive                                        (B)     izfrd"kZ.k
        (C)    Both (A) and (B)                                 (C)     (A) vkSj (B) nksuksa
        (D)    None of the above                                (D)     mijksDr esa ls dksbZ ugha
 Paper-II/Technical-104/42-A                         ( 15 )                                          [P.T.O.]
 66.    Direction of waves is parallel to distance of    66.   ------rjaxksa ds daiu dh fn'kk dh nwjh ds
        vibration in :                                         lekukarj gS %
        (A)      Transverse                                    (A)      vuqizLFk
        (B)      Longitudinal                                  (B)      vuqnS?;Z
        (C)      Transverse and longitudinal both              (C)      vuqizLFk vkSj vuqnS?;Z nksuksa
        (D)      None of the above                             (D)      mijksDr esa ls dksbZ ugha
                                                                                          el
 67.    Energy is not carried by which of the            67.   fuEufyf[kr rjaxksa esa ls ÅtkZ ugha ys tkbZ
                                                               tkrh gS%
                                                                                     nn
        following wave ?
        (A)     Stationary                                     (A)      fLFkj
                                                                        izxfr'khy
                                                                      ha
        (B)     Progressive                                    (B)
        (C)     Transverse                                     (C)      vuqizLFk
        (D)     Electro-magnetic waves                         (D)      fo|qr&pqEcdh;
                                                                     C
 68.    If Z be the position function of a system of     68.   ;fn Z d.kksa ds fudk; dk fLFkfr Qyu gS rks]
                                                               vkSlr ÅtkZ dks fy[kk tkrk gS %
                                                               e
        particles, the average energy is written as :
        (A)
                 &
                 E
                      wZ
                      wE
                                                         ub    (A)
                                                                       &
                                                                       E
                                                                            wZ
                                                                            wE
                                                  ut
                 &        wZ                                           &        wZ
        (B)      E                                            (B)     E    
                          wE                                                    wE
                                         Yo
                 &        w ln Z                                       &        w ln Z
        (C)      E                                            (C)     E    
                            wE                                                    wE
                                   io
                 &    w ln Z                                           &    w ln Z
        (D)      E                                             (D)     E
                          ud
                        wE                                                    wE
 69.    Consider Maxwell-Boltzmann distribution,         69.   eSDlosy&cksYV~t+eku forj.k ds vuqlkj] osx
                St
        how can the fluctuation in velocity be related         esa mrkj&p<+ko rkieku ls dSls lEcfU/kr gks
        to temperature ?                                       ldrk gS \
       m
        (A)      vT                                            (A)     vT
        (B)      v T2                                          (B)     v T2
   a
        (C)      vT  3
                                                               (C)     v T3
Ex
                                                                                         el
 72.    A gas expand with temperature according          72.   xSl dks fu;e V= KT2 ds vuqlkj foLrkfjr
                                                                                 nn
        to the relation V = KT2, what will be the work         fd;k tkrk gS] 60 dSfYou rkieku cnyus esa
        done when temperature change by 60                     fdruk dk;Z fd;k tk,xk \
                                                                      ha
        kelvin?                                                (A)    40 R
        (A)       40 R
                                                               (B)    20 R
                                                                     C
        (B)       20 R
        (C)       30 R                                         (C)    30 R
                                                               e
        (D)       10 R                                         (D)    10 R
 74.    Highest kinetic energy is possible by :          74.   mPpre xfrt ÅtkZ lEHko gS %
                  St
 75.    A phase change from gas to liquid is called:     75.   xSl voLFkk ls rjy voLFkk esa ifjorZu dgk
        (A)       Evaporation                                  tkrk gS %
                                                               (A)     Hkki
        (B)       Sublimation
                                                               (B)     m/oZikru
        (C)       Conduction                                   (C)     izokgdÙo
        (D)       Melting                                      (D)     xyu
 Paper-II/Technical-104/42-A                        ( 17 )                                      [P.T.O.]
 76.    Which set is uncountable ?                            76.   dkSu&lk leqPPk; vufxur gS \
        (A)     The set of positive prime                           (A)     ldkjkRed vHkkT; la[;k dk lsV
        (B)     The set of integers                                 (B)     iw.kkZad dk lsV
        (C)     The set of rational number                          (C)     ifjes; la[;k dk lsV
        (D)     The set of irrational number in [0, 1]              (D)     [0, 1] esa vifjes; la[;k dk lsV
                                                                                                      el
                                                                                                  dy
 77.    The general solution of the differential              77.   vody lehdj.k            xy
                                                                                                  dx
                                                                                                     2y      dk lkekU;
                                                                                            nn
                         dy                                         gy gS :
        equation x  y      2y is :
                         dx
                                                                                                   x
                                                                           ha
                                  x                                 (A)       log( y  x ) C 
        (A)     log( y  x ) C                                                                   yx
                                 yx
                                                                          C
                                                                                                   y
                                     y                              (B)       log( y  x ) C 
        (B)     log( y  x ) C                                                                   yx
                                    yx
                                                                    e
                                    x                                                             x
                                                                              log( y  x ) C 
        (C)     log( y  x ) C 
                                    y                         ub    (C)
                                                                                                  y
                                                                                                  y
                                                          ut
                                    y                                         log( y  x ) C 
        (D)     log( y  x ) C                                     (D)
                                    x                                                             x
                                              Yo
                                                                                                             5/2
                                                                                            ° § dy · 2 ½°              2
                                                                                                                       dy
 78.    The order and degree of the differential              78.   vody lehdj.k             ®1  ¨ ¸ ¾            5        2
                                                                                             °̄ © dx ¹ °¿              dx
                                  io
                                  5/ 2
                 ° § dy · 2 ½°               2
        equation ®1  ¨ ¸ ¾              5
                                             dy
                                                      :
                                                                    dh dksfV rFkk ?kkr gS %
                         ud
                                                  2
                  °̄ © dx ¹ °¿               dx                     (A)       2, 2
        (A)     2, 2                                                (B)       2, 5
               St
        (B)     2, 5
                                                                    (C)       5, 2
        (C)     5, 2
       m
        (D)     1, 2                                                (D)       1, 2
 79.    Which function is continuous at x = 0 ?               79.   dkSu&lk Qyu       x = 0 ij    lRkr~ gS \
   a
                    § 1·                                                          § 1·
Ex
                     § 1·                                                          § 1·
        (B)     sin ¨¨ 2 ¸¸                                         (B)       sin ¨¨ 2 ¸¸
                     ©x ¹                                                          ©x ¹
                   1 § 1 ·                                                      1 § 1 ·
        (C)     tan ¨ ¸                                             (C)       tan ¨ ¸
                      ©x¹                                                           ©x¹
        (D)     tan x                                               (D)       tan x
 Paper-II/Technical-104/42-A                              ( 18 )
 80.    Which group is not Abelian ?                         80.   dkSu&lk lewg ,csfy;u ugha gS \
        (A)       A cyclic group                                   (A)    ,d pØh; lewg
        (B)       Symmetric group Sn                               (B)    lefer lewg Sn
        (C)       A group of 4 elements                            (C)    4 rRoksa dk ,d lewg
        (D)       A             group   G      for   which         (D)    ,d lew g G ftlds fy;s
                                                                                                    el
                            2     2 2                                                  2    2 2
                  (ab)           a b a, bG                                 ( ab)         a b a, bG
                                                                                             nn
 81.    How many elements of the cyclic group of             81.   lewg ds tsujsVj ds :i esa vkWMZj 8 ds pØh;
        order 8 can be used as the generator of the                lewg ds fdrus rRoksa dk mi;ksx fd;k tk
                                                                          ha
        group ?                                                    ldrk gS \
                                                                         C
        (A)       2                                                (A)       2
        (B)       3                                                (B)       3
                                                                   e
        (C)       4                                                (C)       4
        (D)       1
                                                             ub    (D)       1
                                                       ut
 82.    Which of the following is not an equivalent          82.   buesa ls dkSu&lk led{k laca/k ugha gS \
        relation ?                                                          N × N ij ifjHkkf"kr (a, b) R (c d)
                                                Yo
                                                                   (A)
        (A)       The relation R defined on N × N by                        ;fn a + d = b + c }kjk ifjHkkf"kr
                  (a, b) R (c d) if a + d = b + c                           lECkU/k R
                                        io
        (B)       The relation R defined on Z by aRb               (B)      iw.kkZadkas ds leqPPk; Z ij aRb ;fn
                                                                            a - b ,d le iw.kkZad gS }kjk ifjHkkf"kr
                                ud
                  if a - b is even integer
        (C)       The relation R defined over the set                       lEcU/k R
                St
        (D)       The relation of brotherhood over the             (D)      iq#"kksa ds lsV ij HkkbZpkjs dk fj'rk
                  set of men
   a
Ex
 83.    If A is the square matrix of order n then            83.   ;fn   A   vkWMZj n dk oxZ vkO;wg gS rks
        | adj A | is equal to :                                    | adj A | ds cjkcj gS%
                        n-2                                                        n-2
        (A)       |A|                                              (A)       |A|
                        n-1                                                        n-1
        (B)       |A|                                              (B)       |A|
                        n                                                          n
        (C)       |A|                                              (C)       |A|
                        n+1                                                        n+1
        (D)       |A|                                              (D)       |A|
 Paper-II/Technical-104/42-A                            ( 19 )                                           [P.T.O.]
 84.    Sum of the rank and nullity of the linear             84.   ,d n foeh; lfn'k lfef"V ls ,d m foeh;
        transformation T from an n-dimensional                      lfn'k lfef"V rd ds jSf[kd :ikarj.k dh
        vector space to an m-dimensional vector                     dksfV rFkk lqU;rk dk ;ksx gksxk %
        space V is equal to :                                       (A)       n
        (A)      n
                                                                    (B)       m
        (B)      m
                                                                                                      el
        (C)      m+n                                                (C)       m+n
                                                                                           nn
        (D)      m-n                                                (D)       m-n
                                                                           ha
 85.    If r = xi + yj + zk, then the value of Curl r is      85.                                     Curl r
        equal to :                                                  (A)       0
                                                                          C
        (A)      0
                                                                    (B)       1
        (B)      1
                                                                    (C)       -1
                                                                    e
        (C)      -1
        (D)      R                                            ub    (D)       R
                                                       ut
 86.    If I( x, y , z) 3x 2 y  y 3z 2 , then the value of   86.   ;fn I( x, y , z) 3x 2y  y 3z 2 gS] rc      grad I
        grad I at the points (1, -2, -1) is :                       dk eku fcUnq (1, -2, -1) ij gksxk %
                                                  Yo
                         S          dx                               S      dx
 87.    The value of    ³0   2
                                 1  cot x
                                           is :               87.   ³0 2 1  cot x dk eku gksxk %
       m
        (A)       S                                                 (A)       S
   a
                  S                                                           S
Ex
        (B)                                                         (B)
                  4                                                           4
                  S                                                           S
        (C)                                                         (C)
                  2                                                           2
                  S                                                           S
        (D)                                                         (D)
                  8                                                           8
 Paper-II/Technical-104/42-A                             ( 20 )
 88.    The value of :                                               § 1     1     1            1 ·½
                                                         88.     lim ®¨               ......  ¸¾     dk
                                                                nof¯© n  1 n  2 n  3         2n ¹¿
              § 1     1     1            1 ·½
          lim ®¨               ......  ¸¾
         nof¯© n  1 n  2 n  3         2n ¹¿                 eku gksxk %
        (A)       log 1                                        (A)        log 1
                                                                                            el
                      1                                                       1
        (C)       e                                            (C)        e
                                                                                     nn
                      2                                                       2
        (D)       e                                            (D)        e
                                                                      ha
                                                                      3   3
 89.    The equation of asymptote of the curve           89.   oØ    x +y =3axy ds   vUkUrLi'khZ dk lehdj.k
         3    3
        x +y =3axy is :                                        gS%
                                                                     C
        (A)       x+y=0                                        (A)        x+y=0
                                                               e
        (B)       x+y-a=0                                      (B)        x+y-a=0
        (C)
        (D)
                  x+y+a=0
                  x=0
                                                         ub    (C)
                                                               (D)
                                                                          x+y+a=0
                                                                          x=0
                                                  ut
                                           Yo
 90.    The curvature of any straight line is :          90.   fdlh ljy js[kk dh oØrk gS %
        (A)       0                                            (A)        0
                                 io
        (B)       m                                            (B)        m
                          ud
                  1                                                       1
        (C)                                                    (C)
                  m                                                       m
                  St
        (D)       f                                            (D)        f
       m
                  Euclidian domain
        (B)       Every Euclidian domain is a                  (B)      izR;sd ;wfDyfM;u izkUr ,d izeq[k
                  principal ideal domain                                xq.ktkoyh izkUr gSA
        (C)       Every Euclidian domain is an                 (C)      izR;sd ;wfDyfM;u izkUr ,d vf}rh;
                  unique factorization domain                           xq.ku[k.M gSA
        (D)       For any field F F(x) is an Euclidian         (D)      fdlh Hkh {ks= F ds fy;s F(x) ,d
                  domain                                                ;wfDyfM;u izkUr gSA
 Paper-II/Technical-104/42-A                        ( 21 )                                         [P.T.O.]
 92.    Let w1 and w2 be two subspace of a vector     92.   eku yhft, fd fdlh lfn'k lfef"V V ds
        space V such that dim w1=4, dim w2=5 and            w1, w2 nks mi&lfef"V gSa] dh dim w1=4, dim
        5<dim (w1+w2)<8, then dim( w1  w 2 ) can           w2 =5 rFkk          5<dim (w 1 +w2 )<8, rc
        be:                                                  dim( w1  w 2 ) gks ldrk gS%
        (A)      1 or 2                                     (A)       1 ;k 2
        (B)      2 or 3                                     (B)       2 ;k 3
                                                                                            el
        (C)      3 or 4                                     (C)       3 ;k 4
                                                                                  nn
        (D)      4 or 5                                     (D)       4 ;k 5
                                                                    ha
                     1                                                   1
 93.     lim x sin
        x of         x
                       equals to :                    93.    lim x sin
                                                            x of         x
                                                                             cjkcj gS %
                                                                   C
        (A)      1                                          (A)      1
        (B)      0                                          (B)      0
                                                            e
        (C)      -1                                         (C)      -1
 94.
        (D)      f
        What is the rank of linear transformation
                                                      ub
                                                      94.
                                                            (D)      f
                                                                                 }kjk ifjHkkf"kr jSf[kd
                                                            T(x, y, z) = (y, 0, z)
                                                ut
            3   3
        T :R o R defined by T(x, y, z) = (y, 0, z)?         :ikarj.k T :R 3 o R 3 dh dksfV D;k gksxh \
                                           Yo
        (A)      3                                          (A)      3
        (B)      2                                          (B)      2
                                   io
        (C)      1                                          (C)      1
        (D)      0                                          (D)      0
                              ud
 95.    The equation of circle which passes through   95.   fcUnq (3, b) ls xqtjus okys rFkk v{kksa dks
                                                            Li'kZ djus okys o`RRk dk lehdj.k gS %
                St
        (B)      x + y - bx - by - 9 = 0                    (B)      x + y - bx - by - 9 = 0
                  2       2                                           2       2
        (C)      x + y - bx - by + 9 = 0                    (C)      x + y - bx - by + 9 = 0
   a
 Paper-II/Technical-104/42-A                     ( 22 )
                   b                                                           b
 97.    If tan x
                   a
                     , then value of a cos2x + b sin2x    97.    ;fn   tan x
                                                                               a
                                                                                 ]   rks     a cos2x + b sin2x   dk
        is :                                                     eku gksxk %
        (A)        a                                             (A)     a
        (B)        a-b                                           (B)     a-b
                                                                                                  el
        (C)        a+b                                           (C)     a+b
                                                                                         nn
        (D)        b                                             (D)     b
98. Which quantity is invariant for any given 98. fdlh Hkh fn, x;s cyksa ds fudk; ds fy;s
                                                                        ha
        system of forces :                                       dkSu&lh ek=k vpy gS %
                    2    2   2                                             2    2    2
                                                                       C
        (A)        x +y -z                                       (A)     x +y -z
                    2    2   2                                             2   2     2
        (B)        x -y -z                                       (B)     x -y -z
                                                                 e
                    2    2       2                                         2    2        2
        (C)        x +y +z                                       (C)     x +y +z
        (D)
                    2    2
                   x -y +z
                             2                            ub     (D)
                                                                           2   2
                                                                         x -y +z
                                                                                     2
                                                  ut
 99.    For catenaries which relation is not true :       99.    dSVus jh ds fy;s tks lEcU/k lR; ugha gS %
                                         Yo
                                 x                                                       x
        (C)        y c cosh                                      (C)      y c cosh
                             ud
c c
                                 c                                                       c
        (D)        y c cosh                                      (D)      y c cosh
                   St
x x
        a:                                                       lek/kku gS %
Ex
 Paper-II/Technical-104/42-A                          ( 23 )
                                ROUGH WORK/jQ   dk;Z
                                                             el
                                                         nn
                                                        ha
                                                       C
                                                e
                                          ub
                                     ut
                                Yo
                               io
                     ud
               St
   a   m
Ex
 Paper-II/Technical-104/42-A          ( 24 )
                                ROUGH WORK/jQ   dk;Z
                                                             el
                                                         nn
                                                        ha
                                                       C
                                                e
                                          ub
                                     ut
                                Yo
                               io
                     ud
               St
   a   m
Ex
 Paper-II/Technical-104/42-A          ( 25 )
                                ROUGH WORK/jQ   dk;Z
                                                             el
                                                         nn
                                                        ha
                                                       C
                                                e
                                          ub
                                     ut
                                Yo
                               io
                     ud
               St
   a   m
Ex
 Paper-II/Technical-104/42-A          ( 26 )
                                ROUGH WORK/jQ   dk;Z
                                                             el
                                                         nn
                                                        ha
                                                       C
                                                e
                                          ub
                                     ut
                                Yo
                               io
                     ud
               St
   a   m
Ex
 Paper-II/Technical-104/42-A          ( 27 )
 5.    ijh{kkFkhZ mÙkj&iqfLrdk esa dgha Hkh vyx ls fn[kkbZ nsus   5. Candidate should not put any peculiar mark or write
       okyk dksbZ fu'kku ;k vokafNr dqN u fy[ksaA ;fn bl             anything anywhere on the answer sheet. Any such
       izdkj ik;k x;k rks og dUosflax le>k tk;sxk vkSj ,sls          mark or writing, if found will be termed as"canvassing"
       ijh{kkFkhZ dk isij jn~n dj fn;k tk;sxkA                       and candidature of such candidate will be cancelled.
6. ijh{kk ds i'pkr~ mÙkj&iqfLrdk dejs ds i;Zos{kd dks 6. After the Examination, handover Answer Sheet to the
                                                                                                          el
       ykSVk nsaA                                                    invigilator.
                                                                                                nn
 7.    izR;sd iz'u ds fy, pkj fodYi fn;s x;s gSa ftuesa ls        7. For each question, four options have been provided
                                                                                  ha
       dsoy ,d gh lgh gSA (A), (B), (C) vkSj (D) esa ls lgh          out of which only one is correct. Darken the
       fodYi dks dsoy uhys ;k dkys ckWy IokbaV isu dk iz;ksx         appropriate circle in the Answer Sheet by way of using
       djrs gq;s mÙkj&iqfLrdk esa mi;qDr xksys dks Hkj nsaA          blue or black ball point pen on the best options
                                                                                 C
                                                                     amongst (A), (B), (C) and (D).
                                                                          e
 8.    ,d ckj fodYi Hkj nsus ij mls vfUre ekuk tk;sxk
       vkSj mls cnyus ;k lgh djus dk dksbZ fodYi ugha
                                                                  ub
                                                                  8. Option once marked will be treated final and no
                                                                     correction / change in option is permitted. If more
       gksxkA ;fn ,d iz'u ds fy, ,d ls vf/kd fodYiksa ij             than one circle has been darkened for a question in
                                                           ut
       fu'kku yxk;k tkrk gS vFkok xksys dks mÙkj&iqfLrdk esa         the Answer Sheet, it will be treated as invalid answer
                                                Yo
       crk, x, <ax ls xk<+k ugha fd;k x;k gS rks mls xyr             and no mark will be awarded for that answer.
       mÙkj ekuk tk;sxk vkSj ml mÙkj ds fy, dksbZ vad
       ugha feysxkA
                                       io
 10.   izR;sd iz'u dk ,d vad gSA xyr mÙkj ds fy, dksbZ            10. Each question carries one mark. There is no negative
           m
 11.   ;fn fdlh iz'u esa fgUnh Hkk"kk ds vuqokn esa dksbZ =qfV    11. If any discrepancy is found in Hindi version, English
Ex
       ikbZ tkrh gS rks vaxszth Hkk"kk esa fn;k x;k iz'u ekU;         version will be treated as final.
       gksxkA
 12.   ijh{kkFkhZ lgh fodYi ij /;kuiwoZd xksyk yxk, D;ksafd       12. Candidate must darken the correct option carefully
       mÙkj&iqfLrdk esa CysM] jcM+] djsD'ku ¶ywM bR;kfn dk            as use of blade, eraser, correction fluid etc. in the
       iz;ksx djuk oftZr gSA ,sls mÙkj dks voS/k ekuk tk;sxkA         Answer-Sheet is not permitted and such options will
                                                                      be considered invalid.