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MH SET 2018: 28 January, Paper III, Physics

  • Date: 28 January 2018
  • Paper code: JAN32318
  • Series: A
  • Language: Bilingual
  • 28 pages
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Test Booklet Code & Serial No.
                                                                                                                    A
                                                    PHYSICAL SCIENCE
Signature and Name of Invigilator                                                                Seat No.
1. (Signature) .........................................                                                  (In figures as in Admit Card)
      (Name) ................................................                    Seat No. ..............................................................
2. (Signature) .........................................                                                   (In words)

      (Name) ................................................                      OMR Sheet No.

JAN - 32318                                                                                         (To be filled by the Candidate)
Time Allowed : 2½ Hours]                                                                            [Maximum Marks : 150
Number of Pages in this Booklet : 28                                                   Number of Questions in this Booklet : 75
                     Instructions for the Candidates
1.        Write your Seat No. and OMR Sheet No. in the space provided            1.
          on the top of this page.
2.        This paper consists of 75 objective type questions. Each question
          will carry two marks. All questions of Paper-III will be compulsory,   2.
          covering entire syllabus (including all electives, without options).
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JAN - 32318/III—A




2
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JAN - 32318/III—A
                                       PHYSICAL SCIENCE
                                                 Paper III
Time Allowed : 2½ Hours]                           [Maximum Marks : 150
Note : This paper contains Seventy Five (75) multiple choice questions. Each
       question carries Two (2) marks. Attempt All questions.

1.   Given that Fourier integral repre-                                          1    1    1
                                                        2.   The series 1 +                   + …
     sentation for the function                                                  2s   3s   4s

                     0 if | x| 1                             (A) Converges for all values of s
        f(x) =
                     1 if | x| 1                             (B) Converges for s > 1
                                                             (C) Converges for s < 0
                 2        cos x sin
     is f(x) =                               d               (D) Diverges for all values of s
                      0
                                                        3.   The eigen values of an anti-
     Which of the following options is                       Hermitian matrix are :
     correct ?
                                                             (A) Real positive
               cos    x sin                                  (B) Real negative
     (A)                           d
           0                                                 (C) Purely imaginary

                          / 2 if 0     x 1                   (D) Have non-zero real part
                          / 4 if x 1                    4.   The radius of convergence of the
                          0   if x 1
                                                                           (2n) !
                                                             series                 (z – 3i)n is :
                                                                           ( n !) 2
               sin                                                     n 0
     (B)                  d
           0                                                 (A) Infinity

               sin
                                                                   1
                          d                                  (B)
     (C)                                                           2
                               4
           0
                                                             (C) 2
               cos    x sin                                        1
     (D)                           d     0
                                                             (D)
           0                                                       4

                                                    3                                         [P.T.O.
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5.   The solutions of the differential             7.   Let V be a 5-dimensional vector space
                d 2 x dx
     equation        –   + x = 0 :                      and V1 and V2 be subspaces of V
                dt2 dt
                                                        which are 3-dimensional each. Then
     (A) will tend to      as t
                                                        the dimension of V1       V2 is :
     (B) will tend to –      as t
                                                        (A) 3
     (C) will tend to 0 as t
                                                        (B) 0
     (D) will oscillate with finite
                                                        (C) 1
         amplitude for all t

                                                        (D) 2
6.   For a simple harmonic oscillator the

     probability of finding the particle,          8.   A man jumps from a height in a deep

     if the measurement is made at                      pool of water. If the net frictional

     random time, is inversely propor-                  force of water F is proportional to the

     tional to the speed. If the amplitude              instantaneous speed V of the man,

     of oscillation is A, the probability of            i.e., F = kV; what is the terminal

     finding the particle is :                          velocity of the man ? The mass of

                                                        the man is m.
     (A) Maximum close to ± A

                                                        (A) mg / k
     (B) Maximum at zero

                                                        (B) 2 mg/k
     (C) Constant on closed interval
                                                            1
         [– A, A]                                       (C)   mg/k
                                                            2
                                                            3
     (D) Maximum at ± A/2                               (D)   mg/k
                                                            2
                                               4
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                                                11. For a system with n degrees of
9.   Consider a system comprising of sun,
                                                    freedom, the Poisson’s bracket [xi, pj]
     earth and moon. What is the orbit
                                                    is :
     of moon around sun ?
                                                    (A) Zero

     (A) ellipse                                    (B)    ij

     (B) elliptical spiral                          (C)    ij jkpk

                                                    (D) – ij
     (C) preceding ellipse
                                                12. A block of mass m slides down an
     (D) cycloid
                                                    inclined plane at constant speed,

10. The degree of freedom of a simple               from initial rest position at height

                                                    h above the ground. The angle of
     pendulum whose point of support is
                                                    inclination is    and coefficient of
     constrained to move on inner surface
                                                    kinetic friction is    . The energy

     of a hollow sphere are :                       dissipated by friction by the time the

                                                    mass reaches the ground is :
     (A) 2
                                                    (A) Zero
     (B) 3
                                                    (B) mgh

     (C) 4
                                                    (C) mgh/

     (D) 5                                          (D)    mgh

                                            5                                     [P.T.O.
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13. A man of mass m in an initially
                                               14. A point charge q is placed at z = a

    stationary boat of mass M gets off

                                                   on the z-axis. There is an infinite
    the boat by jumping to the left in


    an exact horizontal direction.
                                                   grounded conducting plane at z = 0.

    Immediately after the jump, the

                                                   What is the total electrostatic
    boat is observed to be moving to the


    right at speed v. How much total               energy stored ?


    work did the man do ? (Neglect
                                                              q2
                                                   (A)
                                                         8     0 a
    friction)


          1                                                  – q2
    (A)     Mv2                                    (B)
          2                                              8     0 a

          1
    (B)     mv2
          2                                                   q2
                                                   (C)
                                                         16        0 a
        1
    (C)   (M + m)v2
        2
                                                         – q2
          1       M2                               (D)
    (D)     M          v2                              16 0 a
          2       m
                                           6
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                                               16. An infinitely long wire carrying
15. A point charge q is placed at a


                                                   current I is placed along x-axis. The
    corner of a cube of side-length l.

                                                   Cartesian coordinates of points P

    The electric flux through one of the
                                                   and Q are (0, 0, – 3) and (3, 0, 6)


    cube faces not passing through the
                                                   respectively. If BP and BQ are the



    charge q is :                                  magnetic fields at the points P and



                                                   Q respectively, then :
          ql2
    (A)
           0

                                                   (A) BP    2BQ
           q
    (B)
          3 0
                                                   (B) BP    – 2BQ

           q
    (C)
          6 0                                      (C) BP    4BQ


            q
    (D)                                            (D) BP    – 4BQ
          24 0

                                           7                                    [P.T.O.
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17. The values of conductivity g and                 18. Two infinite plates made up of

    permittivity         of the conducting
                                                         perfect conducting material are held

    material are such that angular
                                                         parallel to each other with finite
    frequency         of the electromagnetic
                                                         separation between them. In the gap
                                         g
    wave is much smaller than
                                        | |
                  g                                      region, an electromagnetic radiation
    i.e.,   <<          · The phase difference
                 | |

    between the fields E and B                           is so introduced that it strikes the


    associated with the electromagnetic                  plates with angle of incidence . The

    wave passing through the material
                                                         energy propagates with the speed :

    is :
                                                         (A) c cos
    (A) Zero
                                                               c
                                                         (B) cos
    (B)     /4

                                                         (C) c sin
    (C)     /2

                                                               c
    (D)                                                  (D) sin

                                                 8
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19. A tiny oscillating magnetic dipole is
                                                         21. If a particle has the wave function
    formed by circulating sinusoidal

    current in a circular loop in the xz-                       = e ikz, the z-component of its

    plane, with center at origin. Consider
                                                             angular momentum is :
    this as a perfect dipole. Power

    radiated by the dipole is minimum                        (A)   k
    along :
                                                             (B) Zero
    (A) x-axis

    (B) y-axis                                               (C) i k

    (C) z-axis
                                                             (D) – i k
    (D) x x      zz

20. Which of the following operator                      22. The fourth excited state wave

    commutes with Hamiltonian of one-
                                                             function of a one-dimensional infinite
    di m en si on al osci l l at or . x and Px are

    position and momentum operators,                         square well has.........nodes.

    a and a + are annihilation and
                                                             (A) Three
    creation operators :

    (A) a                                                    (B) Four

    (B) a+
                                                             (C) Five
    (C) Px

    (D) a+a                                                  (D) Six

                                                     9                                        [P.T.O.
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                                                25. A     one-dimensional      harmonic
23. A particle is represented by a plane
                                                    oscillator in ground state is subjected
    wave in position space. Its wave                to time dependent perturbation
                                                    V(t) = 0 for t < 0; V(t) = xe–at for
    function in momentum space is :                 t > 0. The probability that the
                                                    system is in third excited state at
    (A) a delta function                            t =     is :

                                                    (A) 1/3
    (B) a plane wave
                                                    (B) 1

                                                    (C) Zero
    (C) a Gaussian function
                                                    (D) e–a/3
    (D) a Lorentzian function                   26. Two identical blocks of a metal with
                                                    heat capacity C are initially at
24. Consider two spin 1/2 particles                 temperatures T1 and T2, (T1 < T2).
                                                    They are brought in thermal
    having spin angular momentum                    contact. When the system reaches
                                                    equilibrium the change in entropy
    operators s1 and s2 . The expecta-
                                                    would be :

    tion value of the product s1 · s2 in
                                                                   (T1 T2 )2
                                                    (A) C ln
                                                                      T1T2
    the singlet state is :

                                                                   (T1 T2 )2
        –3 2                                        (B) C ln
    (A)                                                              4T1T2
        8

          3 2                                                         T1T2
    (B)                                             (C) C ln
          8                                                        (T1 T2 )2

    (C) 1 2
                                                                   (T1 T2 )2
    (D) Zero                                        (D) C ln
                                                                     2T1T2

                                           10
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27. For a quantum mechanical system               29. Consider a reversible expansion of
                                                      an ideal gas from volume V1 to 4V1
    of N identical spin – 1/2 particles in            while keeping contact with a heat
    one-dimensional box of length L, the              reservoir of temperature T. The heat
                                                      drawn from the reservoir is equal
    Fermi wave number is :                            to :

               N                                      (A) 2NkBT ln 2
    (A) kF =
               L                                      (B) NkBT ln 2
                                                      (C) –2NkBT ln 2
              N
    (B) kF =                                          (D) –NkBT ln 2
             2L
                                                  30. The partition function of a two-
             N                                        dimensional oscillator whose energy
    (C) kF =
             2L                                       En n = ( n x + ny + 1) , n x =
                                                         x y
                N                                     0, 1, 2, …; ny = 0, 1, 2, …, is :
    (D) kF =
                L
                                                               2k T
                                                              e B
28. A system consists of two indistin-                (A)             2
                                                             2k T
    guishable bosons. Each particle can                     e B –1
    occupy only two energy levels E =
                                                                k T
                                                              e B
       and E = 2 . The canonical                      (B)             2
                                                             2k T
    partition function for the system                       e B –1
    is :
                                                               k T
                                                              e B
                                                      (C)
    (A) Z = e–4     + e–3     + e–2                                   2
                                                             k T
                                                            e B –1
    (B) Z = e–6
                                                                k T
    (C) Z = e–3                                               e B
                                                      (D)             2

    (D) Z = e–9                                              2k T
                                                            e B 1
                                             11                                     [P.T.O.
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31. Consider a closed system is                   32. Which of the following figures


   subdivided into two subsystems 1                   depicts the practical pumping chart


   and 2, which are connected such that               of a Rotary pump having a pumping


   internal energy and particles may                  speed of 100 L/min ?


   be exchanged and volume of the two


   remain constant. Under this                        (A)

   condition the minimum value of the

               d U1
   quantity              is given by (here
               d N1

    ’s and T’s are the respective                     (B)


   chemical potential and temperature) :


         1T2 –    2 T1
   (A)
          T2 – T1
                                                      (C)
         1T2      2 T1
   (B)
          T2 – T1

         1T2 –    2 T1
   (C)
          T2     T1
                                                      (D)
   (D)   1T2      2 T1
          T1     T2
                                             12
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33. Which of the following devices              35. Which one of the following has the
    operates under forward bias ?
                                                    highest resolving power in the
    (A) Zener diode                                 visible region of electromagnetic
    (B) Tunnel diode                                spectrum ?
    (C) Photodiode                                  (A) Triangular prism
    (D) Light emitting diode
                                                    (B) Constant deviation prism
34. An AC bridge of De-Sauty’s is used
                                                    (C) Grating
    to measure the capacitance. A
    supply of 450 Hz is used. The bridge            (D) Fabry-Perot etalon
    is balanced when C2 = 0·5 F. The
                                                36. An X-ray diffraction pattern of
    values of R1, R2, R3 and R4 are 0·5,
                                                    cubic crystal of lattice parameter
    5, 1000 and 2000 ohms respectively.
    What is the value of C1 ?                       a = 3·16 Å is obtained using a mono-
                                                    chromatic X-ray beam of wavelength
                                                    1·54 Å. The first line is obtained
                                                    at   = 20·3. The Miller indices (hkl
                                                    value)     of   the   corresponding
                                                    diffracting plane is :

                                                    (Note : sin 20·3 = 0·34,
                                                              sin 40·6 = 0·64)

                                                    (A) 110
    (A) 0·5   F

    (B) 1·0   F                                     (B) 200

    (C) 5·0   F                                     (C) 100

    (D) 0·2   F                                     (D) 220

                                           13                                    [P.T.O.
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37. The instrumental broadening of an        39. The output waveform for the
    X-ray diffractometer arising from            following OP-Amp configuration is :
    non-monochromatic beam can be
    written as :
    (A)   d sin

              1
    (B)
           d cos

    (C)   2

              1
    (D)                                          (A)
           d sin

38. In the following circuit, if
    RL = RC = 10 k , then the value
    of Vo will be :


                                                 (B)




                                                 (C)




    (A) 4·55 V
    (B) 2·5 V
                                                 (D)
    (C) 1·0 V
    (D) Zero
                                        14
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                                              43. A 8-bit counter type A to D
42. In the following Zener regulator

                                                  converter is driven by 500 kHz clock
    circuit, the current through Zener
                                                  frequency. The conversion time is :

    diode Iz is equal to :
                                                  (A) 256    sec


                                                  (B) 512    sec


                                                  (C) 1024    sec


                                                  (D) 2048    sec


                                              44. In a frequency modulation network,

                                                  the carrier swing is 240 kHz. If the

    (A) 4 mA
                                                  modulation signal frequency is kHz,

                                                  the modulation index of the F.M.

    (B) 6 mA                                      carrier will be :


                                                  (A) 10

    (C) 8 mA                                      (B) 12


                                                  (C) 14

    (D) 10 mA
                                                  (D) 16

                                         16
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45. The most important mode of
                                                      47. Using Boolean equation, the output
     operation of magnetron is one where

     in the phase shift between the
                                                          ‘Y’ of the network shown below is
     electric fields of adjacent cavities is :

                                                          equal to :
     (A)   /4

     (B)   /2

     (C)

     (D) 3/2

46. A ‘D’ Flip-Flop has the following data
                                                          (A) X 0X1X2…Xn + X1X2.......Xn
     sheet : Information setup time = 5 nsec;

     hold time = 10 nsec; propagation
                                                                         + X2X3.......Xn + Xn
     time = 15 nsec.

     The output will change after the                     (B) X0X1 + X2X3 + ....... + Xn–1Xn

     clock edge in a period of :
                                                          (C) X0 + X1 + X2 + ....... + Xn
     (A) 5 nsec

     (B) 10 nsec                                          (D) X0X1X3.......Xn–1 + X2X3X5

     (C) 15 nsec
                                                                 .......Xn–1 + Xn–2Xn–1 + Xn
     (D) 20 nsec

                                                 17                                  [P.T.O.
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                                              50. The selection rules for vibrational
48. For a singlet state of electronic
                                                  Raman spectra and rotational
    system, the Landé splitting factor            Raman spectra are :

    will be equal to :                            (A)       = 0, ±1 and    I = 0, ±1

                                                        respectively
    (A) 3/2
                                                  (B)       = ±1 and      J = 0, ±1

    (B) 5/2                                             respectively

                                                  (C)       = ±1 and      J = 0, ±2
    (C) 1/2
                                                        respectively

    (D) 1                                         (D)       = 0, ±1 and   J = 0, ±2

                                                        respectively
49. The orbital angular momentum of
                                              51. Consider a source which emits
    a single 2s electron is (h is the             radiation of 500 nm wavelength.

    Planck’s constant) :                          The linewidth of the emitted

                                                  radiation is 1 nm. The coherence
    (A) h/2                                       length | lc | is :

                                                  (A) 2·5    m
    (B) h/4

                                                  (B) 250    m
    (C) h 2 / 2
                                                  (C) 1·0    m

    (D) Zero                                      (D) 100    m

                                         18
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52. The total number of electrons in d          54. The hypothetical equilibrium
                                                    oscillation frequency     e of HCl
    orbital in Fe2+ ion (atomic number
                                                    molecule, considered as an an-
    of Fe is 26) is not equal to that of
                                                    harmonic oscillator, is equal to 2990
    the total number of :                           cm–1. If the anharmonicity constant
                                                    xe is equal to 0·01, then the first
    (A) p electrons in Ne atom (Atomic
                                                    absorption line will be obtained at :
        number 10)
                                                    (A) 2990 cm–1
    (B) d electrons in Fe atom
                                                    (B) 29·90 cm–1

    (C) p electrons in Cl– ion (Atomic              (C) 2886 cm–1

        number 17)                                  (D) 2960 cm–1

    (D) s electrons of Mg (Atomic               55. The possible values of j and mj for
                                                    a single d electron system would be :
        number 12)
                                                                             5     3
53. The shortest wavelength observed in             (A) j = 2, 1 and mj =      and
                                                                             2     2

    Paschen back series of hydrogen                           5     3
                                                    (B) j =     and   and
                                                              2     2
    spectra is (RH = 10967757·6 m– 1)
                                                                     5 3 1 –1 –3 – 5
                                                              mj =    , , ,  ,  ,
    (A) 7800 Å                                                       2 2 2  2 2 2

                                                    (C) j = 3 and 2 and
    (B) 7349 Å                                           mj = 3, 2, 1, 0, – 1, – 2, – 3

    (C) 9546 Å                                                5     3
                                                    (D) j =     and   and
                                                              2     2
    (D) 8205 Å                                             mj = 5, 3, 1, – 1, – 3, – 5

                                           19                                    [P.T.O.
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56. The rotational spectrum of a molecule             58. The         Fermi-momentum     and

    is sensitive to isotopic substitution of              dimension of a mono-atomic 2D

    atoms in the molecule. If the ratio                   square crystal are given by kF and

    of the rotational constant B of                       L. If each atom is contributing one

    13C16O to the constant B of 12C16O                    electron to the Fermi gas, the size

                                                          of the primitive cell is :
    is 0·956; and if the first rotational line

    for 12 C 16 O is observed at 3·84                           2
                                                          (A)
                                                                kF2
    cm –1 , that for 13 C 16 O will be

    observed at :                                         (B)
                                                                kF2

    (A) 4·79 cm–1                                               L
                                                          (C)
                                                                kF
    (B) 2·89 cm–1
                                                                2L
    (C) 3·87 cm–1                                         (D)
                                                                kF

    (D) 3·67 cm–1                                     59. The ratio of skin depth in copper

57. Which of the following cubic                          at 1 kHz to that at 100 MHz is

    structure is most loosely packed ?                    approximately :

    (A) Simple                                            (A) 3

    (B) Body centered                                     (B) 30


    (C) Face centered                                     (C) 300


    (D) Diamond                                           (D) 3000

                                                 20
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60. Density of states in conduction band         62. In an anti-ferromagnet, suscepti-

    for electrons assumed to be
                                                     bility       above Neel temperature

    essentially free in two dimensions is
                                                     has a form :
    proportional to :
                                                                    2c
                                                     (A)      =
                                                                   T
    (A) E1/2

                                                     (B)      = 2c(T +    )
    (B) E° i.e. independent of energy
                                                                    2c
                                                     (C)      =
    (C) E–1/2                                                      T–


    (D) E –1                                         (D)      = 2c(T –    )


61. In an allowed band of semiconductor          63. According to Hund’s rule, the value

    the effective mass m* of the electron
                                                     of total angular momentum J is S

    is infinite :
                                                     when :

    (A) at the bottom of energy band
                                                     (A) shell is less than half full
    (B) at the top of energy band
                                                     (B) shell is more than half full
    (C) in the middle of the energy

                                                     (C) shell is just half full
         band


    (D) never                                        (D) shell is completely full

                                            21                                      [P.T.O.
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64. Superconductors      are    perfect
                                                66. A rare gas inter-atomic potential is
    diamagnets with susceptibility    in

    CGS units to be :                                                  A        B
                                                    given by U(r) =         –        , where A
                                                                      r12       r6
    (A) –1/4
                                                    and B are material parameters.
    (B) 10–6

    (C) 106                                         What is the spring constant for

    (D) 4
                                                    displacement of atoms in the
65. Quartz and Barium titanate are

    piezoelectric. The correct statement            harmonic limit, if the given

    from below is :

                                                    equilibrium separation r0 is 1 au :
    (A) Both Quartz and Barium

        titanate are ferroelectric
                                                    (A) 156A – 42B
    (B) Quartz is ferroelectric but

        Barium titanate is not
                                                    (B) 42A – 156B

    (C) Barium titanate is ferroelectric

        but Quartz is not                           (C) 12A – 6B

    (D) Neither Quartz nor Barium
                                                    (D) – 12A + 6B
        titanate are ferroelectric

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67. The following nuclear reaction is            68. In the fission of U-235 nuclei, it is


                                                     observed that the fission fragments
    induced by bombarding neutrons on

                                                     decay by emission of negatively
    13C target.

                                                     charged beta particles and attain

        13 C   1n   10 Be   4 He   Q
         6     0     4      2
                                                     state of stable nuclei.


    The mass are given below in a.m.u.               The reason for emission of negatively


    [one amu = 931.494 MeV]. The                     charged beta particles is that the


                                                     fission fragments :
    threshold energy of the reaction is :

                                                     (A) have different mass numbers
    (A) 3·04 MeV
                                                          and high values of spins

    (B) 4·13 MeV
                                                     (B) are rich in protons


    (C) 6·511 MeV
                                                     (C) emit prompt neutrons


    (D) 8·83 MeV                                     (D) are rich in neutrons

                                            23                                    [P.T.O.
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69. If the nucleus A has radius twice as        71. When U-235 nucleus is fissioned,
    that of 27Al nucleus, then the ratio
                                                    energy is released in addition to the
    of the nucleon number of nucleus A
                                                    emission of fission fragments. In
    to that of 27Al nucleus will be :
                                                    fission, the energy is released
    (A) 16
                                                    because :
    (B) 8
                                                    (A) the binding energy of each
    (C) 40
                                                        fission fragment is greater than
    (D) 14
                                                        that of U-235 nucleus
70. The radioactive 210
                     84 Po
                           emits alpha

    particles through the following                 (B) the binding energy of each
    decay process :
                                                        fission fragment is smaller than
             210 Po   206Pb   4 He
              84       82     2                         that of U-235 nucleus

                        (Alpha Particle)
                                                    (C) the sum of the binding energies
    The height of the potential barrier
                                                        of the fission fragments is equal
    experienced by the alpha particle
                                                        to the binding energy of U-235
    emitted from radioactive nuclei
     210 Po is equal to :                               nucleus
      84

    (A) 26 MeV                                      (D) the difference in the binding

    (B) 40 MeV                                          energies of the fission fragments

    (C) 80 MeV                                          is equal to the binding energy

    (D) 42 MeV                                          of U-235 nucleus

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                                                 73. The following nuclear reaction
72. Energetic particle K– interacts with

                                                            + + n     K° + P
    proton and induces the following

                                                     is examined on the basis of
    reaction
                                                     conservation laws of charge, Baryon

    P + K–       – + K0 + K+ +    + +   –
                                                     number, strangeness and third


                                                     component of Isospin. It is observed
    By assigning strangeness number to

                                                     that the reaction cannot be induced

    all other particles, the estimated
                                                     due to non-conservation of the :

    strangeness of    – particle is :
                                                     (A) Charge and strangeness


    (A) +3                                           (B) Baryon number and charge


                                                     (C) Third component of Isospin and
    (B) –3

                                                         Baryon number

    (C) +2
                                                     (D) Strangeness and third com-


    (D) –2                                               ponent of Isospin

                                            25                                   [P.T.O.
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                                                75. In the energy levels predicted by
74. An excited nucleus decayed from an
                                                    shell model, the labelled energy
    energy level having spin and parity
                                                    states and the corresponding

    of 3+ to another energy level having            nucleon number, starting from the

                                                    lowest to higher energy levels are
    spin and parity of O+ by emitting
                                                    as follows :

    a beta particle. The above beta-
                                                    (i)   1s1/2 – 2 Nucleons

    decay has the prominent decay mode              (ii) 1p3/2 – 4 Nucleons


    of :                                            (iii) 1p1/2 – 2 Nucleons

                                                    (iv) 1d5/2 – 6 Nucleons
    (A) First Forbidden-Gamow-Teller
                                                    The estimated groundstate spins of

           transition                               27    and 11 B nuclei are :
                                                    13 Al      5

                                                                   1        27 Al    3
    (B) Second Forbidden-Gamow-                     (A) 115 B           and 13
                                                                   2                 2

                                                                   3        27 Al    5
           Teller transition                        (B) 115 B           and 13
                                                                   2                 2

                                                                   5        27 Al    1
    (C) Allowed Fermi transition                    (C) 115 B           and 13
                                                                   2                 2

                                                                   11        27 Al   7
    (D) Allowed Gamow-Teller transition             (D) 115 B            and 13
                                                                    2                2
                                           26
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ROUGH WORK




    27                 [P.T.O.
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Source: Savitribai Phule Pune University. Question paper published by Savitribai Phule Pune University.