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HPSC Polytechnic Lecturer 2022: Lecturer (Technical Education) Screening Test, Applied Science (Physics) (Advt. No. 11/2021)

  • Paper code: Advt. No. 11/2021
  • Language: English
  • 16 pages
HPSC Polytechnic Lecturer 2022 question paper, Lecturer (Technical Education) Screening Test, Applied Science (Physics) (Advt. No. 11/2021), page 1 of 16
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                                                         Question Booklet No.

                                      QUESTION BOOKLET
                                     APPLIED SCIENCE
                                        ( PHYSICS )                                     Booklet Series



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Applied Science ( Physics ) /19- A
HPSC Polytechnic Lecturer 2022 question paper, Lecturer (Technical Education) Screening Test, Applied Science (Physics) (Advt. No. 11/2021), page 2 of 16
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1. A   system     exhibits invariance             5. The number of photons emitted per
     under translation in space and                    second by a 100 W source of
     time. Which of the following                      monochromatic light of wavelength
     quantities will remain conserved?                 5893 Å is
      [A] Linear momentum and angular                  [A] 2·96 × 1020
          momentum
      [B] Angular         momentum       and           [B] 2·96 × 1024
          energy                                       [C] 8·24 × 1024
      [C] Linear momentum and energy
                                                       [D] 8·24 × 1020
      [D] Linear momentum, angular
          momentum and energy
                                                    6. Assume that the uncertainty in
  2. If the Lagrangian of a system has                 the location of the particle is equal
     only one term which has a linear                  to its de Broglie wavelength. The
     dependence on velocity, then its                  uncertainty in the measurement
     Hamiltonian                                       of velocity v of the particle is

      [A] also has only one              term          [A] v /2
          depending on velocity
      [B] is zero                                      [B] v / 4
      [C] is not defined
                                                       [C] v / 
      [D] is constant and independent of
          velocity                                     [D] v / 8

  3. Although mass-energy equivalence
     of     special    relativity  allows           7. A proton is confined to a nucleus of
     conversion     of   photon   to   an              radius 5 × 10–15 m. The minimum
     electron-positron pair, such a                    value of the kinetic energy of the
     process cannot occur in free space                proton is
     because
                                                       [A] 46 keV
      [A] the mass is not conserved
                                                       [B] 54 keV
      [B] the energy is not conserved
      [C] the   momentum            is    not          [C] 74 keV
          conserved
                                                       [D] 82 keV
      [D] the charge is not conserved
                                                    8. Which of the following bonds will
  4. An electron is accelerated from                   have directional character?
     rest by 10·2 million volts. The
     percent increase in its mass is                   [A] Ionic
      [A] 20000
                                                       [B] Covalent
      [B] 2000
                                                       [C] Metallic
      [C] 200
      [D] 20                                           [D] van der Waals

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9. The critical magnetic field for a                 13. A charge q moves in a combined
     solid in superconducting state                        electric field E and magnetic
                                                           induction B. Then, as the charge
       [A] is independent on temperature                   moves
       [B] rises with temperature
                                                           [A] both the electric field and
       [C] increases         if      temperature
                                                               magnetic induction work on it
           decreases

       [D] does not depend on                the           [B] electric  field  does   work
           transition temperature                              magnetic induction doesn’t

 10. N-type silicon is obtained by doping                  [C] magnetic      induction   works
     silicon with                                              electric field doesn’t
       [A] germanium
                                                           [D] neither of them work
       [B] aluminium

       [C] boron

       [D] phosphorus                                  14. The electric field due to a charge q
                                                           is given by E = q/r 2 along outward
                                                           radial direction. The value of the
 11. For a perfect free-electron gas in a
                                                           closed surface integral of electric
     metal, the magnitudes of phase
                                                           field depends only on
     velocity and group velocity are
     such that
                                                           [A] area of surface
       [A] V p  Vg
                                                           [B] radial distance r
       [B] V p  Vg /2
                                                           [C] charge
                  1/2
       [C] V p  2 Vg
                                                           [D] shape of the surface
       [D] V p  2Vg


 12. Three point charges q, q and –2q are              15. The vector potential of a moving
     located at (0, –a, a), (0, a, a) and                  charge depends upon
     (0, 0, –a) respectively. The net dipole
     moment of this charge distribution
     is                                                    [A] velocity only

       [A] 4qa along z-axis                                [B] charge only
       [B] 2qa along z-axis
                                                           [C] momentum only
       [C] –4qa along x-axis

       [D] –2qa along y-axis                               [D] velocity and charge
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16. Which of the following statements                   19. If the wavelength of the first line of
     is correct in relation to the                           the Balmer series in the hydrogen
     distribution functions in statistical                   spectrum     is    ,   then       the
     mechanics?                                              wavelength of the first line of the
      [A] In the high temperature limit,                     Lyman series is
          the    Boltzmann    distribution                   [A] (27/5) 
          function will be very different
          from the Bose and Fermi                            [B] (5/27) 
          distribution functions                             [C] (32/27) 
      [B] Bose        and      Boltzmann                     [D] (27/32) 
          distribution functions are the
          same at high temperature but
          differ from Fermi distribution                 20. The hyperfine splitting of the
          function                                           spectral lines of an atom is due to
                                                             the
      [C] In the high temperature limit,
          Bose and Fermi distribution                        [A] coupling between the spins of
          functions    approach      the                         two or more electrons
          Boltzmann         distribution                     [B] coupling between the spins
          function                                               and    the  orbital   angular
      [D] Both statements [A] and [C]                            momenta of the electron
          are wrong
                                                             [C] coupling between the electron
                                                                 spins and the nuclear spin
 17. Consider       C     atom      (mass
     number = 12).     Which     of   the                    [D] effects      of       external
     following is true for atom?                                 electromagnetic field
      [A] It    will       follow        classical
          statistics                                     21. In the Zeeman effect, the light
      [B] It   will  follow          Fermi-Dirac             emitted along and perpendicular to
          statistics                                         the applied magnetic field are
      [C] It will follow            Bose-Einstein            [A] respectively    linearly       and
          statistics                                             circularly polarized
      [D] None of the above                                  [B] respectively   circularly      and
                                                                 linearly polarized
 18. In a Stern-Gerlach experiment,
                                                             [C] both linearly polarized
     the atomic beam whose angular
     momentum     state   is   to   be                       [D] both circularly polarized
     determined, must travel through
      [A] homogeneous radio frequency                    22. Which one of the following would
          magnetic field                                     not cause the broadening in
      [B] homogeneous static magnetic                        spectral lines?
          field                                              [A] Doppler effect
      [C] inhomogeneous static magnetic
                                                             [B] Heisenberg’s     uncertainty
          field
      [D] inhomogeneous radio frequency                      [C] Absorption of EM radiations
          magnetic field                                     [D] Collisions
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23. Moving clock loses 1 minute in each                   26. Velocity of light in a medium, for
     hour. The speed of the clock is                           which relative permittivity and
                                                               relative permeability are 3 and 2
       [A] 5·4 × 107 ms–1                                      respectively, is
       [B] 2·7 × 107 ms–1                                            3
                                                               [A]      108 m/s
                                                                     2
       [C] 5·4 × 108 ms–1
                                                                     3
                                                               [B]      108 m/s
       [D] 2·7 × 108 ms–1                                            4
                                                                     3
                                                               [C]      108 m/s
                                                                     2
 24. Consider a potential of the form                          [D]    2  108 m/s
                    – r
       U (r )  K er . If the particle of mass
                                                           27. A     plane     electromagnetic       wave
       m moves in a circular path, its                                                8
       period is                                               E  100 cos ( 6  10 t  4x ) V/m
                                                               propagates       in     a    medium      of
                   – r
       [A] 2 Ke                                               dielectric constant
             mr 3
                                                               [A] 1·5
                                        1/2
               Ke      – r
                                                              [B] 2·0
                   3 
       [B] 2        1  r 
               mr                                            [C] 2·4
                                                               [D] 4·0
                                        1/2
               Ke      – r
                              
                   3 
       [C] 2        1  r 
               mr                                        28. If       3 cos e i  ,   then       the
                                                                            
               Ke – r                                       commutator  ,  is
       [D] 2      3 
                        1  r                                              
               mr              
                                                               [A] i 6 sin e i 
                                                               [B] i 6 sin e i 
 25. The Hamiltonian corresponding to                          [C] i 3 sin e i 
                    1 2 1 2 2                                  [D] zero
       Lagrangian     x –  x – x 3  xx 2b
                    2     2
       is                                                  29. A particle constrained to move along
                                                               the x-axis is described by the wave-
                      p2      1                                function
       [A] H                –  2 x 2  x 3
                 2 1  2x  2                                      (x )  2x ; 0  x  1
                      p2      1                                             0; elsewhere.
       [B] H                  2 x 2  x 3
                 2 1  2x  2                                What is the probability of finding
                                                               the particle within the interval
                           p2           1 2 3                  (0, 0·4)?
       [C] H                             x  x 2
                 2 1  2x 
                                2
                                        2                      [A] 0·8
                                                               [B] 0·08
                           p2        1
       [D] H                         2 x  x 3             [C] 0·008
                    
                 2 1  2x 2        2
                                                               [D] 0·0008
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30. Which of the following is correct            34. The    numbers    of   accessible
     set of eigenvalues of the Hermitian              states per unit energy are given
                                                                             3
             2 i
     matrix        ?                                by            2V (2m ) 2 x       (for   non-
              i 2                                        g ()              
                                                                       h3
      [A] 2, 2                                                                    4V y
                                                      relativistic gas) and         g ( ) 
                                                                                         
      [B] 1, –i                                                                   h 3c 3
                                                      (for massless or relativistic gas).
      [C] 1, 3                                        Then x and y will be
      [D] 1, 0                                        [A] x  ½, y  ½

 31. An ensemble of N three-level systems             [B] x  ½, y  0
     with energies  = –0, 0, + 0 is in             [C] x  ½, y  2
     thermal         equilibrium         at
     temperature T. Let   (kBT )1. If              [D] x  ½, y  1
      = 2, the probability of finding the
     system in the level  = 0 is                 35. The selection rule for Paschen-Back
            cosh x                                    effect is
      [A]
              2
                                                      [A] ( M L  2M S )  0,  1
                   1
      [B] (cosh x )
                                                      [B] ( M L  2M S )  0,  1
      [C] (2cosh x )1
                         1                           [C] ( M L  M S )  0,  1
      [D] (1  2cosh x )
                                                      [D] ( 2M L  2M S )  0,  1
 32. A      system     containing      10
     distinguishable spin –1/2 particles
                                                 36. In Stark effect M J  0 gives
     is kept in a magnetic field B . The
     system has an energy –2BB. The                  [A] -component
     distinct possible configurations are
                                                      [B] -component
      [A] 210
                                                      [C] both - and -components
      [B] 720
      [C] 1024                                        [D] None of the above

      [D] 10
                                                  37. The first Stokes line of a rotational
                                                      Raman Spectra is observed at
 33. A black body is at temperature of                12·96 cm–1. Considering the rigid
     527 °C. To radiate twice as much                 rotor approximation, the rotational
     energy per second, its temperature               constant is given by
     must be increased to the value of
                                                      [A] 6·48 cm–1
      [A] 1600 K
      [B] 951 K                                       [B] 3·24 cm–1

      [C] 200 K                                       [C] 2·16 cm–1
      [D] 12800 K                                     [D] 1·62 cm–1

Applied Science ( Physics )/19- A             6
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38. In     a      simple       cubic   lattice       41. In a band structure calculation, the
     d100 : d110 : d111 is                                dispersion relation for electrons is
                                                          found to be
       [A] 6 : 3 : 2                                      Ek   (cos k x a  cos kya  cos k z a )

                                                           where  is constant and a is lattice
       [B] 6 : 3 : 2                                       constant. The effective mass at the
                                                           boundary of the first Brillouin zone
       [C]    6: 3: 2                                      is

                                                                  22
       [D]    6: 3: 4                                      [A]
                                                                 5 a 2

                                                                  42
                                                           [B]
 39. A superconducting ring is cooled in                         5 a 2
     the presence of a magnetic field
                                                                   2
     below its critical temperature (Tc ).                 [C]
     The total magnetic flux that passes                         2 a 2
     through the ring is                                           2
                                                           [D]
                                                                 3 a 2
       [A] zero

                                                      42. If p and q are the position and
             h
       [B] n                                              momentum variables, which one
             2e                                           of the following is not canonical
                                                          transformation?
           nh
       [C] 4 e
                                                           [A] Q  q and P  p , for   0
                                                                              
             ne 2                                          [B] Q  q  p and P  q  p , for
       [D]                                                     ,  real and 2  2  1
             hc
                                                           [C] Q  p and P  q

                                                           [D] Q  p and P  q
 40. Calculate mobility of electrons in
     copper, if number of electrons per
     unit volume is 9 × 1028 and                      43. A space station moving in a
     conductivity    of    copper    is                   circular orbit around the earth
     6 × 107 (m–1).                                      goes into a new bound orbit by
                                                          firing its engine radially outwards.
       [A] 5 × 10–3 m/V·s                                 The orbit is

                                                           [A] large circle
       [B] 4 × 10–3 m/V·s
                                                           [B] smaller circle
                       –3
       [C] 4·16 × 10 m/V·s
                                                           [C] an ellipse

       [D] 5·16 × 10–3 m/V·s                               [D] a parabola

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44. A hoop is pivoted at a point on               48. A wire carrying a current of 2 A is
     circumference. The period of small                bent into the shape of a two semi-
     oscillations in the plane of loop is              circles, one with a radius 1 m and
                2R                                     the other with radius 2 m. The two
      [A] 2     g
                                                       semi-circles   are   connected   at
                                                       their ends, that is along the two
             R                                         radii. The magnetic field at the
      [B] 2 4g                                        centre of the semi-circles is
             R                                         [A] 10–7 T
      [C] 2 g
                                                       [B] 16 × 10–7 T
             9R
      [D] 2 7g                                        [C] 2 × 10–7 T
                                                       [D] 3 × 10–7 T
 45. The mass m of a moving particle is
      2m 0                                         49. A sphere of radius R carries
           , where m0 is rest mass. The                                      
        3                                              polarization P (r )  kr , where k is
     linear momentum of the particle is                             
                                                       constant and r is vector from centre.
      [A] 2m 0C                                        What would be the volume bound
          2m 0                                         charge density of the sphere?
      [B]
             3
          m 0C                                         [A] 3k r 2
      [C]
             3                                         [B] –3k
      [D] m 0C
                                                       [C] k r 2
 46. If, in a Kepler potential, the                          k 4
                                                       [D]      r
     pericentre distance of particle in a                     4
     parabolic orbit is r p while the
     radius of the circular orbit with             50. If a charged particle of charge q
     the same angular momentum is                      and mass m moving with speed v
     rc , then                                         enters    a    magnetic  field   B
      [A] r p  rc /2                                  perpendicular to its direction of
                                                       motion, it will move in a circular
      [B] rc  r p
                                                       orbit of radius R. Then,
      [C] 2rc  r p
                                                       [A] R is directly proportional to
      [D] rc  2 rp
                                                           q/m and |B|

 47. The electric field of a travelling wave           [B] R is inversely proportional to
     is given by E  100cos(109 t  4x ) ,                 q/m and |B|
     where t is in seconds and x in                    [C] R is directly proportional to
     metres. The speed of the wave is                      q/m and inversely proportional
      [A] 3·0 × 108 m/s                                    to |B|
      [B] 2·5 × 108 m/s
                                                       [D] R is inversely proportional to
      [C] 3·0 × 107 m/s                                    q/m and directly proportional
      [D] 5·0 × 107 m/s                                    to |B|
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51. A cube has a constant electric               55. A fermion of mass m moving in two-
     potential V on its surface. If there             dimensions is strictly confined
     are no charges inside the cube,                  inside a square box of side l. The
     the potential at the centre of the               potential   inside  is   zero.   A
     cube is                                          measurement of the energy of the
                                                                                        2   2
       [A] V                                          fermion yields the result E  65  2 .
                                                                                     2ml
       [B] V/8                                        The degeneracy of this energy
       [C] 0                                          state is

       [D] V/6                                        [A] 2

 52. The wavelength of red helium-                    [B] 4
     neon laser in air is 6328 Å. What
                                                      [C] 8
     happens to its frequency in glass
     that has a refractive index of 1·50?
                                                      [D] 16
       [A] Increases by a factor of 3
       [B] Decreases by a factor of 1·5
                                                                                      d
                                                  56. The momentum operator –i          acts
       [C] Remains the same                                                          dx
                                                      on a wave function         (x ) . This
       [D] Decreases by a factor of 0·5               operator is Hermitian

 53. A particle of mass m is confined in              [A] provided the wave         function
     a 3-D box of edges a, 2a and 2a. The                 (x ) in normalized
     potential inside the box is zero and
     infinite outside. The energy of first            [B] provided the wave function
     excited level is                                     (x ) and derivative (x ) are
                                                          continuous everywhere
               3h 2
       [A] 4 ma 2
                                                      [C] provided the wave function
                3h 2                                      (x ) vanishes as x   
       [B] 16 ma 2
                                                      [D] by its very definition
            9h 2
       [C] 32 ma 2
                                                  57. The energy of the system of 19
            17h 2
       [D] 32 ma 2                                    electrons in 3-D isotropic harmonic
                                                      oscillator potential is

 54. Pauli spin matrices satisfy                      [A] 3  
       [A]           i    
                                                      [B] 57·5  
       [B]           2i    
                                                      [C] 56·52  
       [C]            

       [D]       2                       [D] 9·5  
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58. A random walker takes a step of unit           61. At temperature _____, the r.m.s.
     length in the positive X direction                 speed    of  gaseous     hydrogen
                       2                                molecules is equal to that of
     with probability     and a step of unit
                       3                                oxygen molecules at 47 °C.
     length in negative X direction with
                      1                                 [A] –253 °C
     probability        .    The      mean
                      3                                 [B] –289 °C
     displacement of walker after n steps
     is                                                 [C] –324 °C
      [A] 0                                             [D] –198 °C
      [B] n
          n                                         62. Consider the transition of liquid
      [C]
          9                                             water to steam as it boils at 100 °C
          n                                             under the pressure of 1 atm. Which
      [D]
          3                                             of the following quantities does not
                                                        discontinue at the transition?
 59. A box of volume V containing N
     molecules of an ideal gas is divided               [A] Gibbs free energy
     by a wall with a hole into two                     [B] The internal energy
     compartments. If the volume of
                                v                       [C] The entropy
     smaller compartment is       , then
                                3                       [D] The specific heat
     find the variance of number of
     particles present in it.
                                                    63. Given that the ground state energy
          2
      [A]   N                                           of Hydrogen atom is –13·6 eV, then
          9
                                                        the    ground    state  energy    of
          N
      [B]                                               positronium (which is a bound
          4                                             state of an electron and a positron)
      [C] N                                             is
              N                                         [A] 6·8 eV
      [D]
              3
                                                        [B] –6·8 eV
 60. In an assembly of N non-interacting                [C] –13·6 eV
     particles   in     equilibrium    at
     temperature T, each of the particles               [D] 13·6 eV
     can be in any of the three non-
     degenerate    energy    levels with            64. Which of the following transitions
     energies 0, KBT and 2KBT. If the                   is not allowed in case of an atom
     mean energy is 100 KBT, find N.                    according to the electric dipole
     Assume that particles are identical                radiation selection rule?
     but distinguishable.                               [A] 2s-1s
      [A] 130
                                                        [B] 2p-1s
      [B] 290
      [C] 236                                           [C] 2p-2s

      [D] 480                                           [D] 3d-2p
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65. A crystal system whose unit                           69. Evaluate the following integral,
     cell is specified by a  b  c ,                          where C is the unit circle and
                                                               centre is around |z|=0, using
       a    90   is known as
                                                               Cauchy’s residue theorem :
       [A] monoclinic                                                      4z 3  8
                                                                       c 4z   dz
       [B] rhombohedral
       [C] tetragonal                                                         3
                                                                [A] i (6 –      )
                                                                              32
       [D] orthorhombic
                                                                               3
 66. A plane in a cubic lattice makes                           [B] 2i (6 –      )
                                                                               32
     intercepts of a, a/2 and 2a/3 with
     the three crystallographic axes                                          3
     respectively. The Miller indices for                       [C] i (4 –      )
                                                                              32
     this plane are
       [A] (2 4 3)                                                            3
                                                                [D] i (4 –      )
                                                                              64
       [B] (3 4 2)
       [C] (6 3 4)
       [D] (1 2 3)                                         70. The ordinary differential equation
                                                               (1 – X 2 )y  – Xy   9Y  0 has a regular
                                                               singularity at
 67. Cooper pair forms when two
       [A] phonons         interact       with   an             [A] –1 and +1
           electron
       [B] electrons           interact   with    a             [B] 0
           phonon
                                                                [C] 2
       [C] polarons        interact       with   an
           electron
                                                                [D] No finite value of X
       [D] electrons       interact       with   an
           polaron

                                                           71. The ideal Op-amp with input
 68. Consider a two-dimensional crystal
                                                               resistance Ri , output resistance Ro
     with 3 atoms in the basis. The
                                                               and gain A has
     number of allowed optical branches
     (n) and acoustic branches (m) due
     to lattice vibrations are                                  [A] Ri  , A  , Ro  0

       [A] (n , m )  (2, 4)                                    [B] Ri  0, A  , Ro  0
       [B] (n , m )  (3, 3)
                                                                [C] Ri  , A  , Ro  
       [C] (n , m )  (4, 2)

       [D] (n , m )  (1, 5)                                    [D] Ri  0, A  , Ro  

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72. An     amplifier    with    negative        76. The characteristic equation
     feedback has a voltage gain of 100.              | A  I |  0 is 3  22 – 3  4  0.
     It is found that with feedback an               The characteristic equation for A–1
     input signal of 0·6 V is required to            is
     produce a given output whereas
     without feedback the input signal
                                                     [A]  3 – 2 2  3 – 4  0
     must be only 50 mV for the same
     output. Then the voltage gain
                                                                   1 2 1   1
                                                     [B]              0
                                                          3
     without feedback A and feedback
     factor  are                                                  2    3  4
                          9                                            3
      [A] A  1000,                                     3   2
                                                     [C]  –  –         –20
                        1000                                           2
                         10
      [B] A  1100,                                              3 2 1   1
                        1100                              3
                                                     [D]  –            0
                         13                                        4    2  4
      [C] A  1400,  
                        2000
                         11
      [D] A  1200,  
                        1200                     77. Find the nature and location of
                                                                                   1 
 73. Reduce AB  ABC  AB  ABC using                singular point of (z  1)sin       .
                                                                                   z – 2
     law’s of Boolean algebra.
      [A] A + BC                                     [A] Essential singularity at z = 2
      [B] B + AC
                                                     [B] Removable singularity at z = 2
      [C] C + AB
      [D] A + B + C                                  [C] Essential singularity z = –1

 74. If particle X has isospin I = (3/2),            [D] Removable singularity z = –1
     Baryon      number    B = 1     and
     strangeness number S = 0, then
     the possible values of electric
                                                 78. The points, where             the series
     charges of particle X are
                                                     solution     of   the          Legendre’s
      [A] 1, 0 and 1                                 differential equation
      [B] 1, 0 and –1
      [C] 2, 1, 0 and –1                                           d 2y      dy 3  3 
                                                      (1 – x 2 )      2
                                                                        – 2x      1 y  0
      [D] 1·0, –1 and –2                                           dx        dx 2  2 

 75. The spin parity of 8 O17 is
                                                     will diverge, are located at
            5
      [A]
            2                                        [A] 0 and 1
            3
      [B]
            2                                        [B] 0 and –1
            5–
      [C]
            2                                        [C] –1 and 1
            3–
      [D]                                            [D] 3/2 and 5/2
            2
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79. For a BJT (Bipolar Junction                 83. Ten diodes; each of them provides
     Transistor),      the      current              0·7 V drop when the current
     amplification factor is 0·9. This               through it is 20 mA. They are
     transistor is connected in CE                   connected in parallel and operate
     (Common Emitter) configuration.                 at a total current of 0·1A. What is
     When the base current changes by                the current flow in each diode?
     0·4 mA, the change in collector
                                                     [A] 0·1 A
     current will be
                                                     [B] 0·01 A
       [A] 36 mA
                                                     [C] 10 A
       [B] 9 mA
                                                     [D] 20 mA
       [C] 4 mA
       [D] 3·6 mA                                84. The reaction which has the
                                                     same transition probability is

 80. The Common Mode Rejection Ratio                   p    p is
     (CMRR) of a differential amplifier              [A]   n    n
     using an operational amplifier is
     100 dB. The output voltage for a                [B]  –  p  0  n
     differential input of 200 V is 2 V.            [C]   n    n
     The common mode gain is
                                                     [D] 0  p    n
       [A] 10
       [B] 0·1                                   85. Half-life of a radioactive material
                                                     is 4 days. After 20 days, the
       [C] 30                                        fraction which remains undecayed
       [D] 10                                        will be
                                                     [A] 1/32
 81. Number of flip-flops needed to                  [B] 1/20
     divide the input frequency by 32 is
                                                     [C] 1/16
       [A] 2
                                                     [D] 1/8
       [B] 4
       [C] 5                                     86. The nucleus 41Ca can be described
                                                     by the single particle shell model.
       [D] 8                                         The single particle states occupied
                                                     by the last proton and the last
 82. The Boolean expression,                         neutron respectively are given by

        AB  A  AB is equivalent to                 [A] d5/2 and f 7/2
       [A] A
                                                     [B] d3/2 and f 5/2
       [B] A
                                                     [C] d5/2 and f 5/2
       [C] 1
       [D] zero                                      [D] d3/2 and f 7/2

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87. The difference in the coulomb                 90. Nuclear force is
     energy between the mirror nuclei
        Cr 49 and 25 Mn49 is 6·0 MeV.                  [A] spin dependent
       24
      Assuming that the nuclei have a
                                                       [B] charge invariant
      spherically  symmetric     charge
                               2
      distribution    and    e       is
                                                       [C] saturated
      approximately 1·0 MeV-fm and
            1                                          [D] All of the above
       k        1 unit, then the radius
          40
      of the 25 Mn49 nucleus is
                                                   91. The    reaction   e–  e             is
                     –13
      [A] 4·9 × 10         m                           forbidden because
      [B] 4·9 × 10–15 m
                                                       [A] lepton    number      is          not
      [C] 5·1 × 10   –15
                           m                               conserved

      [D] 45·1 × 10–13 m                               [B] charge is not conserved

                                                       [C] angular momentum           is     not
 88. In semi-empirical mass formula,                       conserved
     the surface energy term (S ) is
                                                       [D] None of the above
      [A] proportional to A2/3

      [B] proportional to A–2/3
                                                   92. The quark structure of   is
                               1/3
      [C] proportional to A
                                                       [A] uuu
      [D] proportional to A–1/3
                                                       [B] udd

 89. Which of the following phenomena                  [C] ddd
     can be explained by quantum
     mechanical tunneling through the                  [D] uds
     barrier?

      1.    Alpha decay
                                                                                            s 1
                                                   93. Inverse Laplace transform of
      2.    Field emission of electron from                                                s2  4
            metal surface                              is
      3.    Beta decay
                                                       [A] cos 2x + ½ sin 2x
      [A] 1, 2 and 3
                                                       [B] cos x + ½ sin x
      [B] 1 only

      [C] 1 and 2 only                                 [C] cosh x + ½ sinh x

      [D] 1 and 3 only                                 [D] cosh 2x + ½ sinh 2x

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94. Fourier transform of the derivative                  97. A J -K flip-flop with J = 1 and K = 1
     of the Dirac delta-function, is                          has a 10 kHz clock input. The Q
     proportional to                                          output is
                                                               [A] a 10 kHz square wave
       [A] 0
                                                               [B] a 5 kHz square wave
       [B] –1
                                                               [C] always low
       [C] sin(k)                                              [D] always high

       [D] ik                                             98. Five panelists are required to elect
                                                              a sixth member to the panel. If any
                                                              of the panelists votes against a
                                                              member,       the    member        is
 95. A     current             amplifier        is
                                                              disqualified. What would be the
     characterized by
                                                              appropriate electronic circuit to be
                                                              used in the electronic voting
       [A] low input impedance and high
                                                              machine to implement the above
           output impedance
                                                              rule?

       [B] high input impedance and low                        [A] XOR
           output impedance
                                                               [B] XNOR

       [C] low impedance at both input                         [C] OR
           and output terminals
                                                               [D] AND
       [D] high impedance at both input
           and output terminals                           99. The voltage resolution of a 12-bit
                                                              digital to analog converter (DAC),
                                                              whose output varies from –10 V to
                                                              +10 V is approximately
 96. A transistor is said to               be   in
     saturation region when                                    [A] 1 mV
                                                               [B] 5 mV
       [A] both collector and emitter
           junctions are forward biased                        [C] 20 mV

                                                               [D] 100 mV
       [B] both collector and emitter
           junctions are reverse biased
                                                          100. The isospin and the strangeness of
                                                               omega baryon are
       [C] the    collector  junction  is
           forward biased but the emitter                      [A] 1, –3
           junction is reverse biased
                                                               [B] 0, –3
       [D] the    collector  junction  is                      [C] 1, 3
           reverse biased but the emitter
           junction is forward biased                          [D] 0, 3

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SPACE FOR ROUGH WORK




                                           
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Source: Haryana Public Service Commission. Question paper published by Haryana Public Service Commission.

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