Machine-translated by Google. Questions are authored in English.
Top

MP SET 2022: State Eligibility Test, Physical Sciences

  • Language: Bilingual
  • 48 pages
MP SET 2022 question paper, State Eligibility Test 2022, Physical Sciences, page 1 of 48
Page 1 of 48
Text of page 1
RyP/P/S/II/2022                                                 Question Booklet No.



                                        Subject-PHYSICAL SCIENCES
 SET
                                             ■fgcft^T (i3.r^ch)
                                                  Paper II (Optional)
                                                            chl^-26                            926000009
                                                   Subjeot-Code-26
                                                                                             ^TTTt   frH^I
 31^ITT^
                                                     ^            Candidate should write Iiis/licr
  Roll No.                                                       Roll No. in the given boxes

  ■5!^             -^'tsqi/No. of Printed Pages : 42                          ^            ^ WTT/Total No. of Questions : 100
  TI^/Time: 2 "^PJt'/Hours                                                                          ■^J^/Total Marks : 200
                                                   ■cRt^rrM ^
  1. ^                 ^                ^       if ^ t I      3msft                      ^^                                ^
  2. Tpg ^narTT          if ^       f i tra? wr-yw (                                              ^
             TTft^traff IRT             ^ t 1^                  ^         ^ ^ ^T^grt 3ft.l^.3nT.     f J MOyiyl W 1 "51% "fS^
             (^r^cfa                         ijcRT^rrstf ^ 3it.X3TT.3TiT. ^ ^fptxr               xrm if ■3=1% grr    tj^ 5^^
     (qM<4 % "afe ^ 3ifet>fl "SFTTT "5 "9?^ ^Itt1«hl 9iT    31fin <»i<ni § I URuNt 9?T-tTT             99 "HdT 399799) XTrafexjt
       if 3T^ 9)T^ t 1 XTft^TTttf 1:05 X?T 1|9t9 979-99 9)t litcT ^t?I9iT 99T ^f^ 9)T9r 7JT9 9)T9 11^9 979-XT9 ('^959) ^99)
       ^ 100979 f filitbr 99T 51 150 f 1 T1^<W 3Tt.X^.3TlT^^if9^gT#J|[tft9 979-99 91^ 9T9 if "^1)9 979-99 ^ 99T Sff^
       95^^ I 'leid 9)9 if axi* 3lf^9 9)T^   Itny. 9ft^rT^ ^99            T^TT I
  3. 9^ 979 arftgnf f i
  4. Tnrt 9^ ^ 3W 99H f I 9X^9) TI^ 9tTT ^                2 319) 9919 W 9Ilifn 1 dtUUcUcb Tj^9f9rT 911 9T99I9 9^ t I
  5. 979-;^9^                      ^ 979-^(^999 if Tti           ^^TT^ 3f%9 t 1 mltjliyj 3TI79T9 ^ ^              99^ 979-^99iT if
       ftyfRd TTSTT if ""TO eti ^', 31-991 9?      979-9^999 979          I
  6. 9^9m-XI9 (^.X^.3TIT. 7^) 9T                          ^ >ill-Hie(9) 9^9CT 3T9% 9^                    3T^ 9i^ 1
  7. f)99I 991-99 ( 3Tt.'^.3nT, 7^) 9T Pi'JlRd win) XJT 399799) 9fc[fe^'^, 3T^ T9T^ xiT n^f I                        ^
  8.       TTflt T^ 999 979-^lw«*)i ^ fnwfRn ^919 xjt             '^, 3T9T9 9)^ 9^ 991 99^-99 ( 3Tt.Xm,3TR. ) XJT Tft 9^ |
  9. "9^ (Mt 979 if     79iIT ^ ^         97 d>t9l(ij9)             ^ ^ tit 979 ^          997 37^ 9)9799 if ^        WTTdT
          9199) Hill 9JTX^ I
  10. ftBTTt 99ilT 9iT dit^Adt. 9179 ^977 3TTf^ 99 99t9 9(^79 t I
  11. 3:05 9^ 9ft^ T79I97       ^ TI99 3Tt.Xr9,3TIT. 77^ 9t^ 9it TTPR ^ 97^^ xtft^TOf 9)^ t5t#9 1
                                         INSTRUCTIONS TO THE CANDIDATES
  1.   This Question Booklet is printed in two languages—^Hindi and English. Examinees can select any one of the
       two languages according to their convenience.
  2. There arc-two papers in the State Eligibility Test. The first question paper (compulso'ry question paper) is
     General Paper.on Teaching and Research Aptitude. The second question paper is the subject selected by the
       examinee. Only one combined OMR sheet will be provided for both the question papers: The Second paper of
       optional subject ;will be given to the examinee at 1p.m. The code of the second questionpaper subject selected'
       by the examinee should be marked in the OMR Sheet. The booklet number of the second question paper has
       to be marked in the necessary entries. The examinee can start second question paper at 1:05 p.m. There are
       100 questions in the second question paper (optional subject). The squcncc of these questions is 51 to 150.In
       a combined O.M.R. Sheet, the examinee should mark the answers of the second question paper in the part of
       Second Question Paper. The examinee himself will be responsible for marking the answer in the wrong
       order.
  3. All questions are compulsory.
  4. All questions carry equal marks. 2 marks will be given for each correct answer. There is no provisions for
     Negative Marking.
  5. On the cover page the number of pages is indicated in the Question Booklet. The examinee should verify that
     the requisite number of pages are attached in the Question Booklet, otherwise he/she should ask for another
     QuestionBooklet.
     Readcarefully theinstructions givenon the Answer Sheet (OMR Sheet) supplied andindicate your answers accordin^y.
       Kindly make necessary entries on the Answer Sheet (OMR Sheet) only at the places indicated and nowhere else.
       Examinee should do all rough work on the spaces meant for rough work in the pages given in the Question
       Booklet and nowhere else, not even on the ^swer Sheet (OMR Sheet).
       If there is any sort of mistake either of printing or of factual nature in any question, then out of the Hindi and
       English versions of the question, the Hindi version will be treated as standard.
  10. Use of any type of calculator, log table etc. is prohibited.
  11. Examinees will leave the Examination Hall only after handing over the OMR Sheet to the Invigilator at the
       end of the examination at 3:05 p.m.

S/26/2022/A
MP SET 2022 question paper, State Eligibility Test 2022, Physical Sciences, page 2 of 48
Page 2 of 48
Text of page 2
1
                      <'+> <»ji4   vit-'ig
                 (SPACE FOR ROUGH WORK)

        ;(Hj0003i-n




S/26/2022/A
MP SET 2022 question paper, State Eligibility Test 2022, Physical Sciences, page 3 of 48
Page 3 of 48
Text of page 3
N.


     51. ^ X,                     PH-Mdlch ^ cT^^T          Q       51. The pressure P is related to distance x,

                                                                         Boltzmann constant k and temperature Q
           ^        P            M<^iK           "t :.
                                                                         as :
                                ^ -ax/kQ
                          P =-e
                                                                                           P=
                                                                                                  b
           b^               ^t :
                                                                         The dimensional formula of 6 is :

           (A) [mVt"^]
                                                                         (A) [m^lV]
           (B) [m^L^T^]                                                  (B) [m^L^T®]
           (Q [m'l^t^]                                                   (C) [m'l^t"]

           (D) [m^L^T"^]                                                 (D) [m'lV]

     52.          ?, y 13;^* ^             a:, 3; ^3^* z-37^        52. If /, j and ^                   vectors along x, y

           ^ sT^fer                 ^{f^. f, cit                         and r-axis respectively, the angle between

           /+y+jt .'^*                   ^       ^ t:                    the vector /+y + /t and vector / is :


           (A) ™"'[^] (B)                        ^ n                              -1
                                                                                Sin
                                                                                       r^]                    -1
                                                                                                            Sin    ^1'
                                                     VsJ                 (A)
                                                                                            .2.
                                                                                                      (B)
                                                                                                                   \s
                                                     J_^
           ■(C)   COS
                     -1
                          ^1
                          , 2.
                               (D)         COS
                                              -I

                                                     ^/3J                (C)    cos
                                                                                      -1
                                                                                                      (D)   cos
                                                                                                               -1

                                                                                           'v 2


     53.                  A^             r, t ^«7T                  53. If rank of matrix A is rj and rank of
           B^             /•2 i ^ jpH4icrl               AB             matrix B is ^2, then the rank of product
                            :                                           matrix AB will be :

           (A) > max (rj, r2) (B) > max (r|,                            (A) > max (rj,                (B) > max (?*j, r-^

           (C) ^minCA-i, ^2) (D) -/-j x r2                              (C) < min (rj,                (D) =       x


     (3)S/26/2022-A                                             1                                                     P.T.O.
MP SET 2022 question paper, State Eligibility Test 2022, Physical Sciences, page 4 of 48
Page 4 of 48
MP SET 2022 question paper, State Eligibility Test 2022, Physical Sciences, page 5 of 48
Page 5 of 48
Text of page 5
57.                  ^                       PtHPelfed       57.    Which of the following is not correct-

                                                                   ' about Fourier transforms ?
                                        nf



      (A) F{/(;c-a)}= e"''F(^)                                      (A) F{/(x-a)} = e"''FW

      (B) .F{e''"/(jc)} = F(5+a)                                    (B) F{e""/(;c)} = F(i.+ «)

                                                                                  JK
                                FW                                                                   rF(^)
      (C)
                \f{x)dx                                             (C)
                                                                                  \f{x)dx
                                  -IS                                                                   -IS
                _a                                                                ,a




                                                                                                              d"
      (D) F{x"/W}=(-1)"^^(^)                                        (D) F{y'/(:c)} = (-l)"—FW

                     1   COSz                                58. Laurent-series expansion of the function
58.           /(2)=—r^- ^ 1% z = 0 ^
                         z
                                                                              1-cosz
      ■^: ^                              t :                         j(r) =                =— about the point z = 0
                                                                                       z


                                                                    IS:
                         .n-2

       (A) E(-i)" (n+iy.                                                                      .n-2
             «=!



                         .2/1-3
                                                                            S'-"'5Toi
      . (B) Zh)"
               : (2«-2)!                                                  -- CO               ^2«-3-
             /i=2
                                                                    (B)
                                                                            /i=2
                                                                                             (2n-2)!
                          n-2

                                                                             00                 ^n-2
       ^ ^               (2n)!                                      (c) E(-i)
                                                                                           //+! Z

                                                                            n=\        ■
                                                                                              (2n)\
                         .2/J-5

       (D) Ec-i)" (2/^-2)!                                                                    Z
                                                                                               .2/7-5

                                                                    (D)
             n=2 .
                                                  • );                      n=2
                                                                                             (2^-2)1

(3)S/26/2022-A.                                          3                                                         P.T.O.
MP SET 2022 question paper, State Eligibility Test 2022, Physical Sciences, page 6 of 48
Page 6 of 48
Text of page 6
-■=-s
     K



59. #T                A,,A2 W A3                       ^     59. Three boxes A|, A2 and A3 contain light
     ^ f,                   ^ ^                t I                 bulbs, some of which are defective. The
     Aj, A2               A3 ■^*                 ^ 3;m             proportion of defective in boxes Aj, A2
     sFm: 1,1                  i t I "q;^ ^ ^                      and A-, are respectively —, L and —. A
                  2   6            4
                                                                                                2     6   ■      4   ■
                          ^            ^sHcIT ^ "^^TT "3^'
                                                                   box is selected at random and a bulb is
                       feM ^snm t I
                                                                   drawn from it. If the selected bulb is
             <si<N "^TM -SfRfT "t eft 5/H=hl
                                                                   found to be defective, what is the
     Ai           ^ ^ "grfenr ^ t ?
                                                                   possibility that it was from box Aj ?

     (A) yy
                                                                   (A) yy
             11
                                                                          JT
                                                                   (B)
                                                                          36


                                                                          11




     (D) ^                                                                4
                                                                   (D) -



60. wicrti       /(^) ~                                      60.   The          residue        of             function
                          iz+\r(z-3)
                                                                                   _2

    1|3i im               31^^ t :                                 /W =                       at its double pole
                                                                              (z + l)^(z-3)
                                                                   IS :



             V6                    W S
                                                                                                 re
             5                            7                               5
     (C) i                         (D) 4                                                  (D) i
(3)S/26/2022-A
MP SET 2022 question paper, State Eligibility Test 2022, Physical Sciences, page 7 of 48
Page 7 of 48
Text of page 7
61. Wj = 200 gm sik m2 = 500 gm                          61. ^Two objects of masses Wj = 200 gm
                                                             and W2 = 500 gm having velocities
                                                             Vi = 10/ m/s and V2 = 3/ + 5J m/s
    ^ ^R^T: Vj = 10/ Tfk^^/^chu^                             respectively just before collision. After
    V2 = 3/ + 5y                            t,       ^       this collision they become permanently

    ^               ^ ^ T3^-'^5Ek                ^           attached to each other. What fraction of

                                                             the initial   total kinetic     energy is
          I          ^ qfcT ^
                                                             associated    with     the   motion    after
    ■3^ qq I^kHT -3%                         ^ ?
                                                             collision ?

    (A) 0.59                       (B) 0.83                  (A) 0.59               (B) 0.83

    (C) 0.68                       (D) 0.72                  (C) 0.68               (D) 0.72


62. 'm'               qq "Q^ eilcich, '/' ^TRlf          62. A pendulum of mass'm* is attached to
                            f



    qjt TTq7              ^             'M' E^oqqn ^         a block of mass 'M' with a string of

              fW ^                1371 t I -q^ IW            length T. The block slides on a

    irqr "WT#!                     w R "^Rq^fT t 1           horizontal frictionless surface. For small

              3TFTPT ^                 ^ f^ snqchn^          amplitude oscillations, the expression for

    qjT             ^kn :                                    the time period is :


              T. . ,/ /            M                         (A) T = 271.1-.
    (A) T = 27C./-.                                                      gy (M + m)
                     VgWM + wO


    (B) T = 2;c./-. '                                        (B)   T = 2n l-L' •"
                gV (M + w)

              ^ -     /         (w +M)
    (C) T = 2n - ^                      ^                    «=)
                     V^ V          m


              „ .     /         (/77 + M)                         ^ . / (m +M)
    (X)) T = 2kJ—J-                                          (Y)) T = 2nl—J-
               VgV M                                                    VgV M

(3)S/26/2022-A                                                                                     P.T.O.
MP SET 2022 question paper, State Eligibility Test 2022, Physical Sciences, page 8 of 48
Page 8 of 48
Text of page 8
63.                         ^       '/w' "SoWT 3^c   63. The generalised momentum               of a

        'v^' ^ ^1^ 1^ =hu| ^                               particle of mass *7w' with velocity 'y^' in
        'p' #TT :                                          an electromagnetic field is given by :

       (A) Px=fnv^+gA^                                    (A) p^=mv^+gA^

       (B)       =                                        (B) p^ = mv^
         s


       (C) p^=mv^-qA^                                     (C) p^^mv^~-gA^

       (D) p^=gv^A^                                      ,.(D) p^=gv^A^

 64. TJ^          ilTT           :                    64. For a given Lagrangian :

        T  "'/••2 » 2      •  •       '2 9                 Y ^ y •2 • 2        .        9 9
        L =—{x   sin co/+ja;cosm2a)/+.jc CO )              h-—{x   sm co/+ xccDSin2co/+x CD )
             ^               I                   **



       ^ irn^H                   ifT\ :                   Hamilton's equations are :

       (A) i=                    ^ST[                     (A) ^=                  and
                 2OTCOsin^0/                                        2ma sin CD/

             p = p(iiC0tG)t+ X^(0^                             p = />CDC0tCD/+ X^CD^
                   sin^(0/                                            sin^ at
       (B) x = p                                          (B) x = p             and
                     2wco                                              2ma

             P~ PG)COS £0/+;c^co^                              p = pacosat+x^a^

       (C) ^=            To—                             (C) ^=                   and
                 2wcosin- CD/                                      2mas\n at

             p = /?cocosco/+:c^co^                             p~ pacosat+x^a^
             .   D sin CD/                                   . /7sin at
       (D) x =                                           (D) a:= —      and
                  2m(ox                                             2wcdx


             p = pa cosec co/ + x^a^                           p = pa cosec at +;c^co^
(3)S/26/2022-A
MP SET 2022 question paper, State Eligibility Test 2022, Physical Sciences, page 9 of 48
Page 9 of 48
Text of page 9
65.                    3ik hR^hhi           65. The orbit of a planet revolving around

                                                   the sun will be ellipse if eccentricity

          ^:                                       is :


      (A) e> I               (B) e< 1             (A) e> \               (B) e<\

      (C) e=l                (D) e = b            (C)'e = 1              (D) e = 0


66, cJ'ilPichQi                             66.    For canonical transformations


       P =2(1 +        cos        sin p            P = 2(1 + ^'''^ cos^)^'^"sin p        and


       Q = log(l+^'''^ cos p)                      Q = log(1+      cos p)

          'siicfi   41en      :
                                                  the generating function is :


      (A) -(e^-1)^ tanjy                          (A) -(e^-1)^ tan/i

      (B) (e^+l)^tanp                             (B) (gQ +1)^ tan p

      (C) -(e^-l)^sec/»                           (C) -(gQ -1)2 sec p

      (D) (gQ +1)^ sec p                          (D) (g*^ +1)^ sec y?

67.                             37^ AB2 ^   67. In case of a linear triatomic molecule

      37T|7Fr 3TT^fxPit (Oj, ©2^ ©3 ^             AB2 type, the correct relation between

                    "I" :                         eigen frequencies ©], ©2 and ©3 is :

      (A) ©j = ©2 - ©3                            (A) ©]= ©2 = ©3

      (B) ©, = 0, ©2 = ©3                         (B) ©j = 0, ©2 = ©3

      (C) ©j ^ ©2 ~ ©3                            (C) ©, ^ ©2 = ©3

      (D) ©j 9^: ©2 ^ ©3                          (D) ©J     ©2    ©3


{3)S/26/2022-A                                                                        P.T.O.
MP SET 2022 question paper, State Eligibility Test 2022, Physical Sciences, page 10 of 48
Page 10 of 48
Text of page 10
68. 'w'               ^                       *v'               68.   A particle of mass 'w' is moving with a

             ^^                   "t 1                'v'             relativistic velocity 'v', acted upon by a

      ^ ^4Hfd< W\^                        ^ T' ^JFktT                 constant force T', acting parallel to *v'.

        I ^                               itni :                      The acceleration of the particle is :

                                                                                         2n3/2
                                                                             F
      (A)
            /«
                 V    c J
                                                                      (A) r
                                                                          m      y-?,
                            5/2
                 ^        2^
      (B)
            m
                                                                      (B)    m
                 V    c J                                                        V   C    /


                          2\2/3                                                          2x2/3
      (C)                                                             (C)
            m
                  ■-7.                                                       m
                                                                                 .-7.
                            1/3

      (D)
            m
                .'"S
                 V.   c    J
                                                                      (D)
                                                                            m
                                                                              :-7.
                                                                                 V   C    J




69.   RicIkI ^ 3^1^               MdiRI ^ i^®H                  69. ' Aberration of light from stars is caused
             t :                                                      due to :


      (A) ciidM<uj i{ "3^ ^                                           (A) The travelling of light in the
                                                                            atmosphere
      (B) ^ ^                                ^                        (B) The elliptical orbit of the earth
                                                                            around the sim

                                                                      (C) The finite speed of light and the
      (C) wm ^                     ^ afk -g^ ^.■^*                          speed of earth in its orbit around the
            3fk                     "4*        ^ "nfcl .                    sun


                                                                      (D) The scattering of light by the air
      (D) m\ ^ ^niif ?Rr "51^ ^ wWk                                         particles

(3)S/26/2022-A                                              8
MP SET 2022 question paper, State Eligibility Test 2022, Physical Sciences, page 11 of 48
Page 11 of 48
MP SET 2022 question paper, State Eligibility Test 2022, Physical Sciences, page 12 of 48
Page 12 of 48
Text of page 12
r




 73.                              cb<a1 "t :           73. Lorentz condition uncouples :

       (A)                        £^                         (A) Electric and Magnetic field

       (B)                             T^'                   (B) Magnetic vector potential and

                                                                 Magnetic scalar potential

       (C) ■g.^cblq ^ qqr                      srf^         (C) Magnetic field and Magnetic scalar

                                                                 potential


       (D)           ^ qqr                                  (D) Magnetic field and Magnetic vector

                                                                 potential


74. "03^ "qq^fw              q^q "^f           qf^     74, Equation of propagation of electric vector

       E ^         ^ qqt^qTTT t :                           E in isotropic Dielectric media is :


            2^      1      5^E
       (A) V^E-                  =0                         (A) V^E- ^                 =0
                  7i^ 5/-                                               4^ dr

       (B) V^E-^^ = 0                                       (B) v2E-Vf[^^ = 0
                        dr                                                    dr



       (C) V^E- I a^E = 0                                  (C) V^E-
                                                                   2^   I d^E
                                                                                  =0
                  ME dt^                                                ME dr


                5^E = 0
       (D) v2E-ps^                                                  d^E = 0
                                                           (D) v2E-ps^
                    dr                                                       dr


(3)S/26/2022-A                                    10
MP SET 2022 question paper, State Eligibility Test 2022, Physical Sciences, page 13 of 48
Page 13 of 48
Text of page 13
75.                              ^           TTTeqrff    75. An electromagnetic wave is incident on

                                                                  the interface of two dielectric media
                      "qr 3TNf!m         t
                                                                  whose electric field component is
           ^^              3TTWT ^ ^
                                                                  perpendicular to the plane of incident. If
      t 1 "^if^ 3J2TH TTT?^          aTwter (/i|)
                                                                  the refractive index of first media («i) is
           T{\^ ^                    (/72) ^ t.
                                                                  greater than that of second media («2)»
      ^              cT^ ■^* :
                                                                  the reflected wave will :

      (A) 71              ^Rqcii eVii                             (A) suffer a phase change of tc

      (B) Y ^              mRcI^H                                 (B) suffer a phase change of —
                                                                                                     71




      (C) <ti(ni R'                       ^I'll                   (C) suffer no phase change
                                                                                                     7C
      (D) T                "qR^ ^                                 (D) suffer a phase change of
           4     .



76.                   ^                                      76. For glass-air interface (n^ = 1.5 and

      («, = 1.5 akM2= I-O)                                        ^2 = 1-0). For normal incidence of

      t eft H<lclcfd Rm^ t :                                      electric field the reflection coefficient is :


                                                                  (A) 4.0
      (A) 4.0

                                                                  (B) 0.04
      (B) 0.04

                                                              •   (C) 0.4
      (C) 0.4

                                                                  (D) 0.004
      (D) 0.004


(3)S/26/2022-A                                          11                                                P.T.O.
MP SET 2022 question paper, State Eligibility Test 2022, Physical Sciences, page 14 of 48
Page 14 of 48
Text of page 14
77. HNi                                      ^     77. If an unpolarized electromagnetic wave

                                                         is incident on the interface of the two
                iTiWit      ^'^<4>(n=h
                                                         dielectric media at the Brewster angle,
      ^ "qr. aiNfcIcT ^ t cit tRI* -m
                                                         then reflected wave will be (Electric
      (1^ Rf^) :
                                                         vector) :

      (A)                                               (A) Unpolarized

      (B) ^<si1'M                          37NcH        (B) Linearly polarized with vibrations

                                                             perpendicular

                                                        (C) Linearly polarized with vibrations
      (C)                 #Tt              STPRR
                                                             parallel to the plane of incidence
            ^ ^ ^RTRK #t
                                                        (D) Contain both perpendicular and
      (D)                 ^ TTRRR                            parallel component

78.         E^B                 1^ Tfs^T            78. If E and B are electric and magnetic
            f cit RHRrlR^d "4* ^ ^ 1^RRf|?T
                                                        fields   respectively,   which   of the
      t?
                                                        following is dimensionless ?

      (A) ^0^0"5
                    i5
                                                        (A) IioSog
      (B) ^0^0
                    Le.                                 (B) M-o^olg
      (C) ^^0^0
                     B)                                 (C) tiflEo
                                                                     vBy
            Ho E
      (D)                                                    Ho E
             Sn B
                                                       (D)
                                                             So B

(3)S/26/2022-A                                 12
MP SET 2022 question paper, State Eligibility Test 2022, Physical Sciences, page 15 of 48
Page 15 of 48
Text of page 15
79. -prafe                    ^ Wi ^ ■RFIE^ = 0,        79. Tne components of electric field in

     E^ = 0 3kE2=EoCosj^(Iwc^
                          ^ COS cor f I                         vacuum are E^ = 0, E^ = 0 and


                                      ^ WET ^ WST
                                                                E^ =Eo cos^—^jcoscor _ xhe time rate
                                                                of variation of the magnetic flux density
     ■qjW^ ^ ^                         ^ *
                                                                  dB^
                                                                        IS :
                                                                  dt
               /'^   T'
                   27iE
                          \
                            . f Itlv^        .
                              sin     cos cor
     (A) -J                                                              / 27iEo ^ . ( 27LC^
               V     A    y  IX )

                . f lux
                               cos cor
     (B) Eosin
                     V X                                        (B) E(,sin|^^jcos(Br
     (C) Eosin|^^jsina)/                                         (C) Eosin
                                                                               .
                                                                                   2to:^ .
                                                                                      )
                                                                                          Sin cor



             .(ItiEq ^          (27d:^ sm
                                        . cor                           .( 27cEn ^         ( 2'Kx sin cor
      (D) J[
          ■' —^ cos
             X J \ X J
                      :
                                                                 (D) J\^ X           COS     -
                                                                                                 X




80. WE criHcitl^                    cTSTT        ■^*        80. Motion of a charged particle in mutually

                                                                 perpendicular electric and magnetic field
      sTT^flm wn                             :

                                                                 is :
      (A)
                                                                 (A) Circular
      (B) WcTte
                                                                 (B) Parabolic
      (C)
                                                                 (C) Cycloidal
      (D) arftiw^ifw
                                                                 (D) Hyperbolic

 (3)S/26/2022-A                                        13                                                   P-T.O.
MP SET 2022 question paper, State Eligibility Test 2022, Physical Sciences, page 16 of 48
Page 16 of 48
Text of page 16
81. For a particle moving in a one-
         ^ ^ "f^ y-HlHMl<^d                              dimensional         potential   box,    the
           y^K          "^jTrar "I" :                    normalized wave function is given by :
                 1
                                                              M'(^) =    1
                                                                               exp|1(p;c _ E/)
     ^ 0 <x <2a              3T^a?T i|/(x) = 0 I        in the region 0 < x < 2a, and v(/(x) = 0

                     0<x<— "^' "qiTT^^                   elsewhere. The probability of finding the
                             4

     ■sntem t :                                         particle in the region 0 < x < — is ;
                                                                                          4

                                                              1
     (A) -                                              (A) 2

     (B) 4                                                    4


     (C) T                                              (C) r


         T?                                                  T?

82. E            "q^         -^pff ark ^ 1%57^     82. A particle of energy E is incident from
                                                       left on a potential barrier given by :
                     ^0 ,     x<0                                       'O ,      x<0
           V(x) =                                             V(x) =
                     Vo,     x>0                                        'Vo,      a:>0
         Vq          ^IKHcti fRdf^ t, "q^              where Vq is a positive constant. The
                                   p
    ®TNfer ^ f I ai^qicT —                             reflection coefficient R as a function of
                                   ^0                              E
    ^         tRRrfq "ipnfqr R ■         yRdtfH        the ratio •— will vary according to
                                                                  ^0
    ^ fFT ■^* dJld^Hl                   f ?            which of the following figures ?

(3)S/26/2022-A                                14
MP SET 2022 question paper, State Eligibility Test 2022, Physical Sciences, page 17 of 48
Page 17 of 48
Text of page 17
(A)                                               (A)

                  0.5   1.0 1.5 2.0 (E/Vo)->                       0.5   1.0 1.5 2.0 (E/Vo)-»




   (B)                                               (B)


                  0.5   1.0 1.5 2.0 {E/Vo)-»                       0.5   1.0 1.5 2.0 (E/Vo)->




   (C)                                               (C)


                  0.5   I.O 1.5 2.0 (E/Vo)->.                      0.5   1.0 1.5 2.0 (EA^o)^




            1.0                                              1.0

            0.8                                              0.8

          r|o-
            0.6                                            Rto.6
            0.4                                              0.4
    (D)                                              (D)
            0.2                                              0.2



                  0.5   1.0 1.5 2.0 -(E/Vo)->                      0.5   1.0 1.5 2.0 (EA^o)^




(3)S/26/2022-A                                  15                                         P.T.O.
MP SET 2022 question paper, State Eligibility Test 2022, Physical Sciences, page 18 of 48
Page 18 of 48
Text of page 18
83.                                        ^             83. The expectation value of the potential

                     i^Ri^               yrqRii                energy for one-dimensional simple

        t:                                                     harmonic oscillator in its ground state is :


       (A) ^                                                  (A) Zero


       (B) -^co                                               (B) -^co
              4



       (C) -^co                                               (C) -to

       (D) ftco                                               (D) fim


 84. Pi^^Rifea         ^ chIh^i oq^oRT                    84. Which of the following expressions is

       t ?                                                    not correct ?



                                                                                     5                5
       (A)              -silK])—-COt0COS(|)—                  (A) Lj.=-/^ -sin<j)—-cot0cos(|>—
                               59             d^                                     50               5(|)


       (B) f  -f ^
           L,=-n-                                             (B) U=-in^
             '"      (          d              d                              f       d
       (C)        =-iti\ -cos(l)~-cot0sin(|)—                (C) Ly =-ih\ ^cos(|)       cot0sin^—
                     ^         50             5(|)                                   50        5^

                          1   5
       (D) L =~h'
                        sin(|) 50
                                    sin0—
                                                             (D) f2  *21 1 d
                                                                 L =-^2 -
                                                                        sin(() 50
                                                                                  sin0—




                                     +
                                                                                               1    d'
                                                                                          +-
                                      sin^0 5(j)"                                           sin^ 0 5(()^
(3)S/26/2022-A                                       16
MP SET 2022 question paper, State Eligibility Test 2022, Physical Sciences, page 19 of 48
Page 19 of 48
Text of page 19
85.              WTTJ ^                     ^              85. The parity of hydrogen atom wave

                        t:                                     function depends on the :


      (A) « "Q;^* / ^                                          (A) value of n and /


      (B) n^ I              m      "TO                         (B) value of «, / and m


      (C) I             m        'R\^                          (C) value of / and m


      (D)               / ^ -RH TR                             (D) value of I only


86. X = 0 TT^' X = L ^                    ^ "^n^T "q^      86. Consider a particle of mass m, moving

                            'Md m ^sqiTH ^ "q^                 in a one-dimensional box with walls at


      ^^                        ^IPdq I         "TiePT         X = 0 and x = L. Its ground state energy

      X(L - x) ^                         Mr ^ wftn             using variational method with trial

            ^ 5^ct3l                            "^tnt :        function x(L - x) will be :


            5r
      (A)                                                      (A)
                                                                     1!l
            /«L^                                                     ml}

            10^                                                      lOh'
      (B)                                                      (B)
             nil}                                                    ml}

              Sh'                                                    Sh'
      (Q           2-                                          (C)
            2/;iL                                                    2ml}

              lor                                                    lor
      (D)                                                      (D)
            Tt^ml}                                                   T^ml}

(3)S/26/2022-A                                        17                                        P.T.O,
MP SET 2022 question paper, State Eligibility Test 2022, Physical Sciences, page 20 of 48
Page 20 of 48
Text of page 20
•Z
       K




                                                        87. The expectation value of spin component
87.                     ^               I OT
                                                               S, for a state described by the vector
      ^^ t, ^ 1^                               S^ ^
                                                                 1    '2'
                                                                             is
      "3cWI "HFT f :                                            s

              ■ 2n                                                     2Ti
                                                                (A)
                 T^                                                    10


                 3ri
                                                                (B)
                                                                       10


                 5h ■
                                                                (C)
                 m                                                     10


      (D) ^                                                     (D) Zero


88.                     1^ ^ 31^^ -w'shH^i              88. According to Fermi-Golden rule the
                                                                transition rate is :
      ^:
                                                                (A) Independent of time
      (A) WI                "f^*^ ■^'      t
                                                                (B) Proportional to square of the time
       (B) WT                      ^MI^MIdl "^RTt t-
                                                                (C) Proportional to square of the density
       (C) 37^^                ^^^               ^                     of states

                 t                                              (D) Inversely proportional to the density
       (D) 37^^                ^ o^csb^liHWt #dt t                     of states



                                                                                               . d
89.        shnlqPiH^                                        89. The commutation relation                is

                                    dx.                                                           dx.


           t I                                                  equal to :

           (A) W^                 (B) 1                         (A) Zero               (B) 1

           (C) -1                 (D) h                         (C) -1                 (D) h

(3)S/26/2022-A                                         18
MP SET 2022 question paper, State Eligibility Test 2022, Physical Sciences, page 21 of 48
Page 21 of 48
Text of page 21
90. #T                        ^                                  90. For a system of three distinguishable
   \|/p "Q;^        3^^^siT3if '^' Mc^=t) ■^* "Q^                    fermions, one particle is in each of states

                          3TT?^ "Ti^rT foKsli                        \\f^, \|/p and \|/^, the eigen function can be
           % :                                                       written as :



    (A) ^[VaO)Vp(2)^^(3)                                             (A) ;;^[VaO)Vp(2)Vy(3)
     +M'a (l)¥p (3) Vy (2) + Va (2)H'P 0)Vy (3)                        +^0 (l)Vp (3) Vy (2) + Va (2)M'p (OVy (3)
     +Va (2)M'p (3) Vy (1) + Va (3)Vp (1) Vy (2)                       +Va (2) Vp (3)Vy (1) + Va (3) Vp WVy (2)
                              +>fa(3)Vp(2)VyO)]                                             +*l'a(3)Vp(2)>l'y(l)]

    (B) ^[Va(l)Vp(2)Vy(3)                                            (B) ^[Va(')¥p(2)M'y(3)
     -Va 0)Vp (3) Vy (2) + Va (2)M'p (3)Vy (')                         - ¥a (l)Vp (3)¥y (2) + ¥a (2)¥p (3)¥y (0
     -\|;„ (2)v|;p (I)i|/^ (3) + v|;„ (3)v|;p (l)v(/^ (2)              -¥a (2)¥p (1) Vy (3) + ¥a (3)¥p (OVy (2)
                              -H'a(3)Vp(2)VyO)]                                             -¥a(3)Vp(2)¥y(l)]

    (C) ^[VaO)Vp(2)M'y(3)                                             (C) ^[¥aO)Vp(2)¥y(3)
     +Va 0) Vp (3)>Cy (2) + Va (2) Vp (3)Vy (1)                        +¥a(')¥p (3)¥y (2) + ¥a (2)¥p (3)M'y 0)
     +Vd(2)Vp (OVy (3) + Va (3)Vp OVy (2)                              +¥a (2)¥p (I)¥y (3) + ¥a (3) Vp (1) Vy (2)
                              +Va(3)Vp(2)M'y(l)]                                            +¥a(3)¥p(2)Vy(l)]

    (D) ^[M'a(')Vp(2)Vy(3)                                            (D) ;^[¥a0)¥p(2)¥y(3)
     -*Ca 0)Vp (3)Vy (2) + Va (2)Vp (3)Vy (I)                          - Va 0)¥p (3)¥y (2) + Va (2)¥p (3)¥y 0)
     - Va (2)^? (l)Vy (3) + Va (3)M'p (OVy (2)                         -M'a (2)¥p (l)¥y (3) + ¥a (3)¥p (l)¥y (2)
                              -*l'a(3)Vp(2)Vy(l)]                                           -¥a(3)Vp(2)¥y(I)]

(3)S/26/2022-A                                              19                                              P.T.O.
MP SET 2022 question paper, State Eligibility Test 2022, Physical Sciences, page 22 of 48
Page 22 of 48
MP SET 2022 question paper, State Eligibility Test 2022, Physical Sciences, page 23 of 48
Page 23 of 48
MP SET 2022 question paper, State Eligibility Test 2022, Physical Sciences, page 24 of 48
Page 24 of 48
Text of page 24
98.                                     (op-amp)    98. In    an   ideal   operational     amplifier

        ^5TflFT fte           W (CMMR)^                  (op-amp) Common Mode Rejection

      t:                                                 Ratio (CMMR) is

      (A)                                                (A) Infinity

      (B) ^                                              (B) Zero

      (C)                                                (C) One

      (D)               ^^                               (D) None of the above


99. TJ^ "N-^q^ MMfT (                      = 12)    99. An     N-channel     silicon     (Dielectric

      FET, r^^chl                 a = 3 X 10"^           Constant = 12) FET with a chaimel

            t,        102I               ^ H«T           w jdth a = 3 X 10"^ m is doped with 10^^
            ferr "w t I ^           3w                   electrons/m^, then the pinch off voltage
      ^ (1^ t e = 8.85 X 10-12 F/m) ;                    will be (given e = 8.85 x 10-12 p/m) :

      (A) 7.8 V              (B) 6.8 V                  (A) 7.8 V            (B) 6.8 V

      (C) 8.6 V              (D) 9.6 V                  (C) 8.6 V            (D) 9.6 V

100. PmRiRsici                             8085     100. Which one of the following is not a type

                      "^iT TRiR     "I ?                 of instruction set of microprocessor
                                                         8085 ?
      (A)        ^RFR "p
                                                        (A) Data transfer group
      (B)                         -gq
                                                        (B) Arithmetic and Logic group
      (C) ^              ^
                                                        (C) Branch control group
      (D)         ZRFfR "P
                                                        (D) Memory transfer group

(3)S/26/2022-A                                 22
MP SET 2022 question paper, State Eligibility Test 2022, Physical Sciences, page 25 of 48
Page 25 of 48
Text of page 25
[5^

                  •5   dx
101. h = 1        L 7T"                      101. Evaluating             by Trapezoidal Rule
                  '0 1+ x

     ■f^ ^         #1T :                             taking /j = 1, we get :


     (A) 1.456              (B) 1.574                (A) 1.456           (B) 1.574

     (C) 1.866              (D) 1.972                (C) 1.866      '     (D) 1.972

                                             102. The nature of second order differential

                                                     equation :


         d\i .d^u       du du _                         ^+A-^+3^+—+-
                                                        Qx^ dxdy dy^ dy
                                                                        =^
         —^+4     +3—T+-r-'^~:~
         dx^        dy^ ^ ^
                                                     will be ;

      (A)
                                                     (A) Circular
      (B)
                                                     (B) Elliptical

      (C)                                            (C) Parabolic

      (D) ^rdMW<ril^                                 (D) Hyperbolic


 103. ^iint^jlm        ^                ^     103. The value of                will be (where
              378f f) : .                             symbols have their usual meaning) :

      (A) 1                                      -    (A) 1

      (B) 2            -                              (B) 2

      (C) 3
                                                      (C) 3

      (D) 6
                                                 - (D) 6

                                            23                                         P.T.O.
 (3)S/26/2022-A
MP SET 2022 question paper, State Eligibility Test 2022, Physical Sciences, page 26 of 48
Page 26 of 48
Text of page 26
104. "^Rf 0.10 <x< 0.30 ^              rHHPdRsid    104. Under the condition O.IO.< x < 0.30

        ^s)Qi ^           tan(0.12)            :          using the table given below the value of
                                                          tan (0.12) will be :
              X              y = tan X
                                                                X                 y = tan a:
             0.10              0.1003
                                                               0.10                 0.1003
             0.15              0.1511
                                                               0.15                 0.1511
             0.20              0.2027
                                                               0.20                0.2027
             0.25              0.2553
                                                               0.25                0.2553
             0.30              0.3093                          0.30                0.3093

             0.1210        (B) 0.1205                         0.1210             (B) 0.1205

             0.1279        (D) 0.1342                         0.1279             (D) 0.1342


105. fwWT ^ T3^ felf i^               felt           105. Simpson's one third rule gives us the

                          "PrR 3TM ^ t ^                  exact value of a polynomial when its
             ^^(W) :                                      degree :

       (A)          #T ^                                 (A) is equal to three only
       (B)          #T     ^
                                                         (B) is less than three only
       (C)          ^           ^
                                                         (C) is greater than three only
       (D) #T                  #T ^
                                                         (D) is less than or equal to three

106.          (1>(x)= -(cosj:+3) ^ ip                106. The value of the root up to
                                                          three decimal places of the function
               ^         WT TO ^ TTFT ^:

       (A) 1.536           (B) 1.511
                                                         't'(^)=-^(cosx+3) will be :
                                                         (A) 1.536           (B) 1.511
       (C) 1.524           (D) 1.612
                                                         (C) 1.524           (D) 1.612

(3)S/26/2022-A                                  24
MP SET 2022 question paper, State Eligibility Test 2022, Physical Sciences, page 27 of 48
Page 27 of 48
Text of page 27
107.         ^^                              ^    107. Consider the heat flow in a metal plate.

                                                           The equation of temperature distribution

                                                                         du      2 d'^u   8\
       5w       2                                          with .time    -ir-^                   the
       — =a             ■+■      ■^'   a ^                                ot
       a/           dx^ ' dy^)
                                                           value of a is :
       $Vii I


                                                           (A)     pC
       (A)


                                                                   p/c
                jpk .                                      (B)
             Vc

                                                           (C) \!pi
       (C)


                                                                 pk
             P^                                            (D)
       (D)



108.         311^ ^ X                  awTO t,        108. If phase space is an X dimensional space,

       X ^ HM cl'll :                                      then the value of X will be :



       (A) n                                               (A) «


       (B) (2«-l)                                          (B) (2«-l)


       (C) 2n                                              (C) 2n


       (D) (2« + 1)                                        (D) (2« + 1)

(3)S/26/2022-A                                   25                                            P.T.O,
MP SET 2022 question paper, State Eligibility Test 2022, Physical Sciences, page 28 of 48
Page 28 of 48
MP SET 2022 question paper, State Eligibility Test 2022, Physical Sciences, page 29 of 48
Page 29 of 48
Text of page 29
112.                   ((j)) sftr                (A)      112. Scalar   potential   (il>)   and   vector
                            :■
                                                               potential (A) satisfy :



       (A)   V2,|,-i-^
                c'dt'
                       = 47ip, V^A                             (A) V^<l.-^||= 47tp,v2A
                                                                           c   ot




                   19'A                                                   1 a^A     47rJ „ r 1 a(l)
                                                                                 = 2^,VA+—21= 0
                   c^ dt^           C         c dt                        (? di^    c     c dt




       (B) V^ + \^= -4izp,W^A
                       c    ot
                                                               (B) V'-i)+\^ = -Aitp,V' A
                                                                           c   ot




                  ±^ = zM,v.A +i^ = 0                                    ±^=;M,v.A+i^=o
                                                                         £.2 Qt'^ C . c dt
                       dp-          c         c a/



       (C) v^(i)-4y=-^"P''^^^
                       C    OT
                                                               (C) V^,l.-4y = -4tp.V'A
                                                                           C   ot




              +   _L£A=Z«,V.A +i^ = 0                                   ti5^=^,VA+if.o
                                                                          c2 a/2 c c ar
                  ^2                C         c dt



       (D) V^(j)-^^
                 dt^
                     = -47Cp, V^A                              (D) ■V^-\^ = -'inp,V''A
                                                                           c   ot




                   1 9^A         -47cJ _ t    1 5<j)
                                        .,V.A + —^ = 0                  _±^
                                                                         c2 dt^
                                                                                = zl=i,V.A+l^
                                                                                   c      C dt
                                                                                               =0
                           a/2      c         c dt

       ■^31^ p =                                                where p = Charge density,

             j = ^^R^                                                   J = Current density

 (3)S/26/2022-A                                          27                                        P.T.O.
MP SET 2022 question paper, State Eligibility Test 2022, Physical Sciences, page 30 of 48
Page 30 of 48
MP SET 2022 question paper, State Eligibility Test 2022, Physical Sciences, page 31 of 48
Page 31 of 48
Text of page 31
114.              o                          5 ^ ^ 114. A transmission line consisting of two

       ^ ^ ^'ch'^O "^rlT^jR ^?Rt               Pifna "O;^         concentric circular cylinders of metal


                 ter               mi^^d (n, e) ^                 with conductivity cr and skin depth 8 is


       TTHFT           ^ if t I 37551^                            filled with a uniform lossless dielectric


                          ("^.f-lJi.) "5^ \<^\         3ik        (p, e). A TEM mode is propagated along

       ti'cjRa         '141 "t" I ^<sil                3^         this line. Tlie time averaged power flow

       WT-3feT -^if^ -a^ t :                                      along the line is :

                                 1/2                                                    1/2

                                            iHof In                                 H         na^ iHnP Inf —
       <« -iirfe]                      na
                                                      \a
                                                                  (A) P =
                                                                              47C   SJ                     aj



                                                                  (B) P = 47iyv8y na■lH.fln|i
       (s) "KSH""'!""!''"                                                     -     -
                                                                                           a



                  /C
       (C) P =
                  ^471 Ae
                            -ltfl|Hof ln(-     a
                                                                  (C) P =                           \aj




       ® ''■(3lf]™'i"'i''"S
       ^ Hq 31^:^^ ^                           "ar f^TM           where Hg is the peak value of the

                                                                  azimuthal magnetic field at the surface of
                       ^               TTR (f?T^ 1TH)
                                                                  the inner conductor, a is the radius of
       t I a                    ^ 1^ t 3^ 6
                                                                  inner cylinder and b is the radius of outer
       ^              ^           t I-
                                                                  cylinder.


(3)S/26/2022-A                                               29                                           P.T.O.
MP SET 2022 question paper, State Eligibility Test 2022, Physical Sciences, page 32 of 48
Page 32 of 48
MP SET 2022 question paper, State Eligibility Test 2022, Physical Sciences, page 33 of 48
Page 33 of 48
Text of page 33
117.                                             ^:           117. WKB Approximation is based on :

       (A) t          (Powers) '^* "OT 4icrii ^                   (A) Expansion of wave function in
              f^TRiR "qr                                                 powers of t

       (B) r W (Powers)                      ^           ^         (B) Expansion of wave function in
                      "qr                                                powers of r

       (C) h            (Powers) ■^* ^ Wq ^                        (C) Expansion of wave function in
                       "qi                                               powers of h

       (D) h "qicT (Powers) "^* ^                                  (D) Expansion of wave function in
              [^■klK "qr                                                 powers of h


118.             TO ^Hlcb<u|                                  118. The Schrddinger wave equation

              iti^                V^i|/ + v(r)v(/                        m^ = -—vV + v(r)ii/ .
                 9/          2^
                                                                           dt             2p

       ^ ^ \l/(r,0 = Aexp(i^^^^|
                        I h
                                 ^^                                has a solution of the form


       ■^f t I sm: ^(F,/) 3TKftfMwr                                \1/(F,/) = Aexpj—            so that w(r,/)
       "trrtevq qrt                          t :
                                                                   satisfies the differential equation :

        /A-J ^+ —(Vw)^+—V^w + v = 0                                ..s ^+J_(Vw)2+—v2w+v
                                                                       dw  1
                                                                                        =0
               5/     2p                '^"
                                        2^1                        W p/ 0,1     h
                                                                                 2p
                                                                          dt        2]x
        .g. £ii:+J_(Vw)^-—V2w + v = 0                                     dw 1
               a/ 2p^                   2p       .                        —+—(Vw)^-—V^M'.-Hv =0
                                                                   W                9,,^       2p

        /pN             1 /V7 \2
                      +—(Vw)                   *-72 . =0
                                               V vf-i-y ft
                 dt    2\i               ''"
                                         2\i                       trt      dt -I-—(Vw)^--^v^-M'-i-v
                                                                                 2p^      2p         =o
        ™ _^__L(Viv)2+—V^w+v = 0
                 dt    2n                2\l
                                                                            dt       2p        2^


(3}S/26/2022-A                                               31                                            P.T.O.
MP SET 2022 question paper, State Eligibility Test 2022, Physical Sciences, page 34 of 48
Page 34 of 48
Text of page 34
119. Sufficient condition for the validity of

     3rftR^ t :                                         Bom approximation is :

    (A) \]f^^^{r)«e'^ =1                                (A) v}/^'\r)«e'^ =1

    (B) |\i/^^^(r)|«e'^ =1 ■                            (B)           « e'^ = 1

    (C)   y
           (I)
                w|« e
                      ikz
                            =I                          (C) |\|/^'^(/')|«|e'^ =1
    (D) H/^'^(/-)«|eikz = 1                             (D) Hr^'V^)«|e'^|= l
                        ai8fl    t I                  ■ 'All notations have their usual meanings.


120. H„ ^^                                    :    120. The, fine structure of         line should

                                                        have :
    (A)
                                                       (A) Six components
    (B)
                                                       (B) Five components
    (C) ^
                                                       (C) Four components

    (D) #I                                             (D) Three components

121. yPd^Hc^i!^ -q^sf ^              3?^ ^         121. The value of magnetic susceptibility of
    RFT BTcH ^ :                                        a diaihagnetic material is :

    (A) - a x lO"^                                     (A) -     X 10-6.

    (B) +a X kH                                        (B) +     X 10-6

    (C) ±ax 10-6                                       (C) fax 10-6
    (D)              ^ ^ -q^*                          (D) None of the above
    ^61   *a'                    3llPt)cti "RFT        where, 'a' is some positive numerical
    t I                                                value.


(3)S/26/2022-A                                32
MP SET 2022 question paper, State Eligibility Test 2022, Physical Sciences, page 35 of 48
Page 35 of 48
Text of page 35
122.                               ^                 ^              122. General      form         of    Bose-Einstein

                              A      ^              "-1^                 distribution law is /(E,)=                    ;
       /(E/)=                 Q, ^51         CC —          >
                                                    kT                                                      e      1

                                                                                          —jj, „   11
       P =-^, [1 = xramfe7
             Kx
                                                     k=                  where cx = —,P = —> li = chemical
                                                                                          ki       ki

                  "Pror^, T —       ■ E^- =          "^h^l               potential, k = Boltzmann constant,

                                                                         T = Temperature, E^- = Energy of zth
       ^          ^ I
                                                                         particle.
                         "Hwr ^ifer ^ i;
                                                                         Bose-Einstein         condensation     occurs
             :
                                                                         when:

       (A) a 9i 0           (B) a > 0                                   (A) a        0"            (B) a > 0

       (C) a = 0            (D) a<0                                     (C) a = 0                  (D) a < 0


123.                     f:                                         123. Ising model is :

       (A) MlRl^h IH^tET                                                (A) For a mechanical system

       (B)           Pi^N ^ "f^                                          (B) For a electrical system

       (C)                    ^ %?;                                      (C) For a magnetic system

       (D)               ^^              •                              (D) None of the above

124.                              -^m) ^ ipftn"                     124. x^-test (Chi-square test) is used for :
              «t:
                                                                        - (A) Goodness of fit
   •(A) 3^^-             3tTOT ^ %tt
                                                                      '(B) Independence of attributes
       (B) ^IW^npT"El^ Wd4dl ^
       (C)              TROT ^           31?^ ^                         (C) Homogeneity -           of    independent

             wim ^ i^                                                         estimates of the population variance

       (D)                                                              (D) All of the above

{3)S/26/2022-A                                                 33                                               P.T.O.
MP SET 2022 question paper, State Eligibility Test 2022, Physical Sciences, page 36 of 48
Page 36 of 48
MP SET 2022 question paper, State Eligibility Test 2022, Physical Sciences, page 37 of 48
Page 37 of 48
Text of page 37
128. The active filter has some major
128.                     ^           ^ Psh^l^Od
                                                          advantages over passive filters (choose
       ■Sfe 3Tf¥?^                  t (^
                                                          the correct reason) :
             :
                                                          (A) Flexibility of gain and frequency

       (A) ^ ^ Hml-Mdi ak aTifi% Tm*B                          adjustment

                                                          (B) No loading effect and digital
       (B) WT 3?W           afR "fef^ra ^HHlcheld
                                                               integration
       (C) a#q Tj^ srk ^ an^
                                                          (C) Low cost and small size

       (D) aq^idd                                         (D) All of the above


129. 1^ ^              - 10,000 ark p = 0.01         129. The closed loop gain of a feedback
                                                          system having an open loop gain of
                                                          - 10,000 and a feedback network with
       ^         t :
                                                          p = 0.01 is ;
       (A) +99
                                                          (A) + 99
       (B) -99                                            (B) -99

       (C) + 89                                           (C) + 89

       (D) -89                                            (D) - "89

                                                     130. Radio transmitters are classified :
130.                 ^ dJildil'JI      ■« t :
                                                          (A) According to the type of modulation
       (A) "35^ Hl^dH ^ "3^ ^ aTT¥TR "3^
                                                               used

       (B) ^fkFT        ^ 33T??R "3T                      (B) According to the service involved

       (C) keFT arr^ wr ^ an^                             (C) According to the frequency range
                                                               involved
       (D) ^33^
                                                          (D) All of the above

(3)S/26/2022-A                                  35                                          P.T.O.
MP SET 2022 question paper, State Eligibility Test 2022, Physical Sciences, page 38 of 48
Page 38 of 48
Text of page 38
131.                     ^ ^^               ^       131. When the source of hydrogen spectrum
                ^          "Sn^ t I ^ ciu[st,^           is placed in a strong electric field, which
       ^            ^             ^t ?                   spectral line gets subjected to splitting ?

       (A)                                               (A) Balmer line

       (B) W^ ^                                          (B) Paschen line

    (C)             ^                                    (C) Pfund line

    (D)              ter                                 (D) Chandrashekliar line


132. "^el=^FHch WFT ■^* ^ ^ WT ^                    132. "The movement of nuclei is negligible

       ^kpT              I^^SWT Wq ^ t 1"                during the- time taken by the electronic
                                                         transition." This statement is referred to
       ■q?       "^f^f^RT t :
                                                         as :

       (A) fe-cbJu^H RHcdH
                                                         (A) Franck-Condon Principle
       (B) ^-SfmtrH
                                                         (B) Bom-Oppenheimar Principle
       (C)               RioSM                           (C) Lambert-Beer Principle
       (D) dlW^v^ ^                -                     (D) Lorentz Principle

133. 3FJ^ tfe^                   ^ 3TT^f% elKHV.    133. If the frequency of a radio-frequency
       3TI^|%    cl<M<     "dt "5^1 ^d-ll   ch6^         source becomes equal to the Larmer
    ^ :                                                  frequency, the two are said to be :

    (A) 3^^^                                            (A) Resonance

       (B) ir^                                          (B) High resolution

    (C) 3T^ ^ -qt                                       (C) Non-resonance

    (D) T([nm                                           (D) Plane resolution



{3)S/26/2022-A                                 36
MP SET 2022 question paper, State Eligibility Test 2022, Physical Sciences, page 39 of 48
Page 39 of 48
Text of page 39
134.          W               Tf AJ = 2     AJ = 1    134. AJ = 2 and AJ = 1 (J being total angular

    (W J hR^II^ =tiVil^              "I")   9fn^:          momentum) in rotational Raman spectra

       cijiT<j)d Rh^l ^idl % :                             are referred to as respectively :

       (A) 'S'sSR'R'-^                                    (A) 'S' and 'R' branch

       (B) 'R'       'S'                                   (B) 'R' and 'S' branch


       (C) |-^                                             (C) — branch
                                                                 R


             R   .                                               R
       (D)                                                 (D) ~ branch
                                                                 &




135.                      ^       ^g^FTcr      ^      135. The coherence length of the paired

       W]        t:                                        electron is :


       (A) 0.25 nm                                         (A) 0.25 nm

       (B) 250 nm                                          (B) 250 nm

       (C) 0.01 nm                                         (C) 0.01 nm

       (D) 0.001 nm                                        (D) 0.001 nm


136. rsbWcrlliJl4i1 "R*            W#        "fepT    136. In ciystallography the total number of
                                                            crystal systems is divided in to how
             "R* ciJ|[t^d         "W % ?
                                                            many groups ?
       (A) 32 -
                                                           (A) 32
       (B) 07
                                                           (B) 07

       (C) 14                                              (C) 14

       (D) 21                                              (D) 21



(3)S/26/2022-A                                       37                                        P.T.O.
MP SET 2022 question paper, State Eligibility Test 2022, Physical Sciences, page 40 of 48
Page 40 of 48
Text of page 40
137.          E^,     "^STT B                     ^ . 137. If E^,               and B are respectively
        ^ cft^, ?^RI                    ^«TT       ^           represented as Hall field, current density
        ^ ■fen          ^           fn^dlch M^f?ld "ffe        and magnetic field strength, then the Hall
        ^nnn "i" :                                             constant is given by :

                                                               ,,, p _ Br/Jjc
                                                               (A)        —
        (A) ^n= —
                                                                          .1      ^

                                                                     jy        J^/Epj
        (B)                                                    (B)
                        B,

                        B.                                                      B.
                                                               (C) RH=g r/J,
                                                                               'H'^x

        (D)               ^ ^ -n^'                            (D) None of the above


138.          "mffe,         'sten ^«iT "^^3^             138. Nuclei which have number of Protons


       -^2?^         wn ^ ^ f, ^ fOT ^iWt^                    and number of Neutrons both even in


       fer I ^ ttr 0 fe t I ^                                 number have angular momentum 1 = 0

       Tl^f^ fe t :                                           exhibit :



       (A) ^                 ^                                (A) No Magnetic Properties

       (B)           ^d^FH=b "^pr                             (B) No Electronic Properties


       (C) "qfe                  "ipn                        (C) All Magnetic Properties


       (D)               ^ ^                                 (D) None of the above


(3)S/26/2022-A                                      38
MP SET 2022 question paper, State Eligibility Test 2022, Physical Sciences, page 41 of 48
Page 41 of 48
Text of page 41
139.          ^^ ^ tTTWT "STftl fent                    139. The ratio of increase in length of the ■

       ■qi        cfT^ oiMI^ "^' nRqJi       "5^1^             solid wire per degree rise of temperature
              ^               ^^Hia      PiM ■^* ^             to its original length is measured as :
              "qi?! ^Idl % :
                                                               (A) Coefficient of linear expansion
       (A) MRl OTR
                                                               (B) Coefficient of volume expansion
       (B) 37rq?R WK "3^
                                                               (C) Coefficient of rigidity
       (C)           ^[TW
                                                               (D) None of the above
       (D) "sq^          ^ ^ "q^'
                                                        140. If the wavelength of X rays in vacuum
140.                    X Pb<"ii "q^t ^<*\\*=4 ^
                                                               is smaller than that of visible length, the
       ■qror        wrt^ "H ^ f            X Pt)<"il
       ^ ^ tq^ "q                 :                            speed of X-rays in vacuum would be :

       (A) ^ TITOT ^ dl'KwJ ^                                  (A) Same as that of visible light

        (B) ^ wm                d<o^i4 ^                        (B) Larger than that of visible light

        (C)                     dloM         ^■                 (C) Smaller than that of visible light

        (D) viq^dd          ^ ^ q^'                             (D) None of the above


141. iqq^ ^ 3T5?TT1,              -^Pw^ldT ^ ^              141. According to Yukawa, a pion is

     ■qi^^nq qft fq^                         t,                 continually exchanged between two

        ^jfMpti -idcj 41-ci              :                      nucleons when they are at a distance:

        (A) 2 fm ^ q^q                                          (A) Less than 2 fm

        (B) 2 fm ^                                              (B) Greater than 2 fm

        (C) 5 fm         10 fm ^ "q^                            (C) Between 5 fm to 10 fm

        (D) -dM^dd "^* ^ =41^ d^l                               (D) None of the above

 {3)S/26/2022-A                                        39                                           P.T.O,
MP SET 2022 question paper, State Eligibility Test 2022, Physical Sciences, page 42 of 48
Page 42 of 48
Text of page 42
142.                                                   142. According to" liquid drop model, the
            fencq   :
                                                             density of nuclear matter :

        (A) 3TO^ ■% ^8T              t                       (A) Increases with volume

        (B) 3M?R ^ ^ST -EiZcIT t                             (B) Decreases v^th volume

        (C) STPTcPT TR        ■^* ^                          (C) Is independent' of volume

        (D) ciM^ckl      ^ ^                                 (D) None of the above


 143. a-37^ ^ ^ ^ftrrr ^ "5^5^                         143. The range and energy of a-particles are
             t :                                            related as :

        (A) R = aE3/2                                       (A) R = aE3/2

        (B) R = i7E'^2                                      (B) R = i?El^2

     (C) R = ^7Et3/2                                        (C) R = flE-3/2

    (D) R = flE-l^2                                         (D) R = aE-^/2

144. "rf ^                  %2T[ -^f iiiifi^^          144. In an interaction between the particles
                      "^TT "^*1^ ^ ■^* ;                    involving strong electro-magnetic or

    (A) ^ ^?TOT "^T^I^:                  it                 nuclear forces :


    (B) ^ ^?TOT -^'W: -^rT^                     #ft        (A) Total parity may be conserved

                                                           (B) Total parity may not be conserved

    (C) ^ RTTcn                     i\i\                   (C) Total parity should not be conserved

    (D)         ^Hai "^Rfw           -qilsy.               (D) Total parity should be conserved


(3)S/26/2022-A                                    40
MP SET 2022 question paper, State Eligibility Test 2022, Physical Sciences, page 43 of 48
Page 43 of 48
Text of page 43
Lr



                                                       .145.-The attractive force near the nuclear
145.                 ^"TO, aiicn^ur"^*           ""^
                                                               .surface is similar to :
       ■^WTT ^ 1
                                                                (A) Gravitational force on the earth
                                                                                           1 >
       (A)                   W'-V'                     1




                                                                (B) Surface tension on surface of liquid
                                                                                          V- ,
                                                                     drop
       (B) ^         ^                    crfe
                                  I   '                         (C) Attractive force-between electrical
       (C)         3TiM*                      ^                      charges

       (D) 3rfs#^ ^                                             (D) Centripetal force

146. *21!^ . J|ldl<4iK   STTTO   (^ = 0) ^                 146. If there are collective vibrations about a

       3TRTW                 t,. cit "38^11                     spherical shape (X = 0), the first excited
       3^^^ 13;^                                 '"^            state will be a one-quadrupole phonon

       ^8T #lt I                                                state with :


       (A) X = I            (B) X = 4                           (A) X = I             (B) X = 4

       (C) ^ = 3            (D) X = 2                           (C) X = 3             (D) X = 2


147. •^-■?™t 2^                  "^nfe,                    147. A nucleus decays by the emission of a

       31^^        PdHdM 31^1^ -^f -^in^-^fTOT                  gamma ray from an excited state of spin

       0+ TK Tirqi         ^                     ^              parity 2"^ to the ground state with spin

             11 w.r^Pti^ui ^ -R^.                t?          . parity 0"^. What is the tj'pe of the
                                                                corresponding radiation ?
       (A)
                                                                (A) Magnetic dipole
       (B) l^lcT
                                                                (B) Electric quadrupole
       (C)
                                                                (C) Electric dipole
       (D)
                                                                (D) Magnetic quadrupole

(3)S/26/2022-A                                     41                                              P.T.O.
MP SET 2022 question paper, State Eligibility Test 2022, Physical Sciences, page 44 of 48
Page 44 of 48
Text of page 44
i^r
 n J m\jm




 148. P+ ^ ^                ^ ^ %T, TTi^                  148. To permit p"^ decay, the atomic mass

        ^oqqn "3^^ 3fcR "CT     ^#n ^sni^TT :                   energy difference must be at least :

       . (A) m,C2                                              (A) mfi^

        (B) 3w^C2                                              (B) 3m,C2
                                                 p




        (C) [\)'"<'^^                                          (C)

        (D) 2m^&                                               (D) 2m,C2

                                                          149. For the hydrogen isotopes the nuclear

         yiP^^hdr    -"^      ^ledt t i                        fusion probability decreases with ;

        (A) Z,+ Z^                                             (A) Z„ + Z,

                                                                   Za
        (B) Y                                                  (B) T-


        (C) z.z,                                              (C) Z„Z, •

        (D) Z,- Z,                                            (D) Z,-Z,

150.          ^ "3^^ ^ 3TT^               ^ "^TTSiT       150. Nucleon-nucleon reactions, in consistent

                                                               with energy and charge conservation can
        t:                                                     produce :

        (A)         "f^       ^                               (A) Only.odd number of mesons ■

        (B)             TRsqr ^ T^#T                          (B) Only even number of mesons

       (C)                  ^ Am                              ■(C) Any number of mesons

       (D)          ^      ^                                   (D) Any number of leptons


(3)S/26/2022-A                                       42
MP SET 2022 question paper, State Eligibility Test 2022, Physical Sciences, page 45 of 48
Page 45 of 48
Text of page 45
■^Tjr chi4
                          (SPACE FOR ROUGH WORK)




[/   !




         (3)S/26/2022-A
MP SET 2022 question paper, State Eligibility Test 2022, Physical Sciences, page 46 of 48
Page 46 of 48
Text of page 46
(SPACE FOR ROUGH WORK)




(3)S/26/2022-A
MP SET 2022 question paper, State Eligibility Test 2022, Physical Sciences, page 47 of 48
Page 47 of 48
Text of page 47
(SPACE FOR ROUGH WORK)




S/26/2022/A
MP SET 2022 question paper, State Eligibility Test 2022, Physical Sciences, page 48 of 48
Page 48 of 48
Text of page 48
(SPACE EOR ROUGH WORK)




S/26/2022/A
Page 1 of 48

Source: Madhya Pradesh Public Service Commission. Question paper published by Madhya Pradesh Public Service Commission.

Other years