SSB Odisha Lecturer 2016: Lecturer recruitment for non-government aided colleges, Physics
Text of page 1
DO NOT OPEN THIS TEST BOOKLET UNTIL YOU ARE ASKED TO DO SO
Subject Code No. : 4A Sl. No
I5,t t
TEST BOOKLET
LECTURERS IN NON.GOVERNMENT
AIDED COLLEGES
PHYSICS
TimeAllowed:2Hours Maximum Marks : 100
: INSTRUCTIONS TO CANDIDATES :
1 IMMEDIATELY AFTER THE COMMENCEMENT OF THE EXAMINATION, YOU SHOULD
CHECK THAT THIS TEST BOOKLET DOES NOT HAVE ANY UNPRINTED OR TORN OR
MISSING PAGES OR ITEMS ETC. IF SO, GET IT REPLACED BY A COMPLETE TEST
BOOKLETOF THE SAME SERIES ISSUED TO YOU.
2. You have to enter your Roll No. on the Test Booklet
in the Box provided alongside. DO NOT write
anything e/se on the Test Booklet. a
3. This Test Booklet contains 100 items (questions). Each item (question) comprises four m
responses (answers). You have to select the correct response (answer) which you want
to mark (darken) on the Answer Sheet. ln case, you feel that there is more than one correct
response (answer), you should mark (darken)the response (answer) which you consider
r
the best. ln any case, choose ONLY ONE response (answer) for each item (question). lf
more than one response is darkened it will be considered as wrong answer.
4. You have to mark (darken) all your responses (answers) ONLY on the separate Answer
Sheet provided, by using BALL POINT PEN (BLACK). See instructions in the Answer
Sheet.
5. All items (questions) carry equal marks. All items (questions) are compulsory. Each wrong
response will result in negative marking of 0.25 mark.
6. Before you proceed to mark (darken) in the Answer Sheet the responses to various items
(questions) in the Test Booklet, you have to fill in some particulars in the Answer Sheet as
per the instructions in your Admission Certificate.
7 . After you have completed filling in all your responses (answers) on the Answer Sheet and
after conclusion of the examination, you should hand over to the lnvigilator lhe Answer
Sheef issued to you. You are allowed to take with you the candidate's copy/second page of
the Answer Sheet along with the Test Bookletafter completion of the examination for your
reference.
Candidate's full signature lnvig ilator's signature
co - 19t12 ( Turn over )
Ftlt
Text of page 2
1 The functioo - 1 (B) p13 >> 1
(z - l)'tz (c) ptr3 << '1
(A) ls analytic in the region lzl.Z (D) p=o
(B) Hasapoleatz=1
5. Given .= 12"20,find the differential
(c) Has a branch point at z = 1
dz:
(D) Has an essential singularity z = 1
(A) dz= 2rdr + 2e2ed}
2. The independent solutions of the
(B) dz= fdr * e2ode
eouation
' {Y -s9I n 2v = o :
(C) dz= 2re2odr + 2?e2sdo
dxz dx
(A) e2* and e-x (D) dz= 2ezodr + 2r d0
(B) e2* and e'
6 The number of generalised
(c)
/* ana * coordinates for a rigid body
(D) sin 2x and cos x containing 1000 particles is :
3 Which one of the following relations (A) 1000
between internal energy U and the (B) 3
canonical partition function Z is true ? (c) 6
,AT[-l = -a no z
(A) (D) 3000
7 Let (p, q) and (P, O) be two pairs of
(B) U=+Kef fiwez
canonical variables. The
(C) U = -KT log Z
transformation Q = Q0 Cos (pp),
a
(D) U=KT*loSZ P = q* sin (Fp) is canonical for :
4. The quantum statistics reduces to (A) a.= 2, F= 1 lZ
classical siatistics under the (B) a=2, 9=2
following condition : (C) cr=1, B=1
(A) p),3 = 1 (D) a= 1 12, 9=2
co - 19112 (2) Contd.
Text of page 3
8. For the set of all Lorentz 11 . The unit vector normal to the surface
transformations with velocities along *' * y'- zatpoint (1 , , 1) is
1 :
the x-axis consider the two (A) (2i + 2j- k)/ 3
statements given below : (B) (2i -2) + k) / 3
P : lf L is a Lorentz transformation (C) (2i + 21+ k)/ 3
then, L-1 is also a Lorentz
(D) (-zi+2j+x)tz
transformation.
O : lf L,, and Lrare Lorentz 12. Find the value of commutator [Lz,
transformations then, L,L, is cosglwhere g is azimuthal angle and
necessarily a Lorentz transformation. cosg is operator.
Choose the correct option : (A) 0
(A) P is true and Q is false (B) iftsins
(B) Both P and Q are true (C) iftcosg
(D) -iftsing
(C) Both P and Q are false
(D) P is false and Q is true '1 3. Consider an anti-symmetric tensor P,
with indices i and j running from 1 to
9. The value of the integral Ie2 sin(z) / 5. The number of independent
z2 d=,where the contour C is the unit
components of the tensor is :
circle z-2 = 1,is'.
(A) 3
(A) 2ni
(B) 4ni (B) 10
(C) ni (c) e
(D) 0 (D) 6
10. lf a force F is derivable from a 14. Considera counterclockwisecircular
potentialfunction V(r), where r is the contour z = 1 about the origin. The
distance from the origin of the integral Ife) azoverthis contouris :
coordinate system, it follows that :
(A) - in
(A) VxF=0
(B) Zero
(B) V'F=0
(C) vV=0 (C) in
(D) v2V = 0 (D) 2in
co - 19t12 (3) (Turn over)
Text of page 4
15. Identify the correct statement for the 18. Let (p, q) and (P, Q) be two pairs of
following vectors a+ = 3i + 2j and canonical variables. The
b = i + 21are linearly independent :
transformation e = qq cos(gp)
(A) The vectors ? and O' ,ru P = qo sin(Bp) is canonicalfor:
linearly independent
(A) a'= 2,8= 1 t Z
(B) The vectors ? and O' ,r" (B) a=2,9=2
linearly dependent
(C) cx=1,F=1
(C) The vectors ? and U' ,r"
(D) a=112,9=2
orthogonal
(D) The vectors ? and il ,ru 19. The Hamiltonian of a system with n
normalized degrees of freedom is given by
16. Which of the following is an analytic H(ar. .Qn,p1.....pnt) with an
function of the complex variable explicit dependence on the time t.
z= x + iy in the domain z < 2 ? Which of the following is correct ?
(A) (3+x-iy)7 (A) Different phase trajectories
(B) (1 + x * iy)4 (7 -x- iy)3 cannot intersect each other
(C) (1 - x - iy)a (7 -x* iy)3 (B) H always represents the total
(D) (x + iy - lltz energy of the system and is a
constant of the motion
17. Two bodies of mass m and 2m are
(C) The Hamilton equation of
connected by a spring constant k.
motion are notvalid since H has
The frequency of the normal mode is :
explicit time dependence
(A) 3kl2m
(D) Any initial volume element in
(B) Jk/m phase space remains
(c) 2kl3m unchanged in magnitude under
(D) "'R2m time evolution.
co - 19t12 (4) Contd
Text of page 5
20. The number of degrees of freedom (B) Normal component of the
of a rigid body in d space- magnetic vector potential is
dimensions is :
continuous
(A) 2d (C) Tangential component of the
(B) 6 magnetic vector potential is
(C) d(d + 1) t2 continuous
(D) d
(D) Tangential component of the
21. The electric and magnetic field magnetic vector potential is not
caused by an accelerated charged continuous
particle are found to scale as E* r-n
and B* r{ at large distances. What 24. The magnetic field at a distance R
are the value of n and m ? from a long straight wire carrying a
steady current I is proportionalto :
(A) n=1,m=2
(B) n=2,m=1 (A) rR
(C) o=1,m=1 (B) r/R2
(D) n=2, m=2 (c) t2 tR2
22. A conducting sphere of radius r has (D) r/R
charge Q on its surface. lf the charge
25. lf e and p assume negative values in
on the sphere is doubled and its
a certain frequency range, then the
radius is halved, the energy
directions of the propagation vector
associated with the electricfield will :
k and the poynting vector S in that
(A) lncrease fourtimes
frequency range are related as :
(B) lncreaseeighttimes
(C) Remain the same (A) k and S are parallel
(D) Decrease four times (B) k and S are anti-parallel
23. At a surface current, which one of the (C) k and S are perpendicular to
magneto static boundary condition is each other
NOT CORRECT ? (D) k and S makes an angle that
(A) Normal component of the depends on the magnitude of
magnetic field is continuous leland lpl
co - 19t12 (5) ( Turn over )
Text of page 6
26. For a scalar function Q satisfying the (B) I tR2
Laplace equation,Vg has : (c) 1/R3
(A) Zero curl and non-zero (D) 1 tR4
divergence
29. When a charged particle emits
(B) Non-zero curl and zero
electromagnetic radiation, the
divergence
electricfield E and the poynting vector
(C) Zero curl and zero divergence S at a larger distance r from emitter
(D) non-zero curl and non-zero vary as 1 / rn and 1 / rm respectively.
divergence Which of the following choices for n
and m are correct ?
27. An electromagneticwave is incident
on a water-air interface. The phase (A) n=1andm=1
of the perpendicular component of (B) n=2andm=2
the electricfield, E1, of the reflected (C) n=1andm=2
wave into the water is found to remain (D) n=2andm=4
the same for all angles of incidence.
The phase of the magnetic field H :
30. Let four point charges q, - q/2, q and
(A) Does not change - ql2 be placed at the vertices of a
square of side a. Let another point
(B) Changes by 3n l2
charge -q be placed atthe centre of
(C) Changes by n I 2
the square. Let V(r) be the
(D) Changes by n
electrostatic potential at a point P at
28. Four charges (two + q and two - q) a distance r >> a from the centre of
are kept fixed at the four vertices of
the square. Then V(20 /V(r) is :
a square of side a. At the Point P
(A) 1
which is at a distance R from the
center (R >> a), the Potential is (B) 1t2
proportionalto : (c) 1t4
(A) 1/R (D) 1t8
co - 19t12 (6) Contd.
Text of page 7
31. A spherically symmetric charge (D) There will be no reflected light
distributions has zero net charge.
and the transmitted light is
For an arbitrarily chosen coordinate
circularly polarized
system, which of the following
statements is true ? 33. The electrostatic potential V(x, y) in
(A) Only the monopole moment is free space in a region where the
zelo
charge density p is zero given by
(B) The monopole and the dipole V(x, y) = 4e2* + f(x)- 3y2. Given that
moments are zero
the x-component of the electric field
(C) Only the dipole moment is zero
E.. and V are zero at the origin, f(x)
(D) The monopole and dipole X
is:
moments are non zero
(A) 3x2-4e2*+Bx
32. A circularly polarized monochro-
matic plane wave is incident on a (B) 3x2-4e2*+16x
dielectric interface at Brewster (c) 4e2x -B
angle. Which one of the following
statements is correct ?
(D) 3x2 - 4e2*
(A) The reflected light is plane 34. A static, spherically symmetric
polarized in the plane of charge distribution is given by
incidence and the transmitted A
p(r) = u-n'where A and K are
light is circularly polarized r
(B) The reflected light is plane positive constants. The electrostatic
polarized perpendicular to the
potential corresponding to this
plane of incidence and the
charge distribution varies with r as :
transmitted Iight is plane
polarized in the plane of (A) ,"-k'
incidence
(B) 1 re -kr
(C) The reflected light is plane r
polarized perpendicular to the
(c) 1 ,2e -kr
plane of incidence and the I
transmitted light is elliptically
polarized (D) 1 1 e -t1
r
co - 19t12 (7) (Turn over)
Text of page 8
35. Four equal point charges are kept 38. An infinite solenoid with its axis of
fixed at the four vertices of a square. symmetry along the z-direction
How many neutral points (i. e. points carries a steady current l. The vector
potentialA at a distance R from the
where the electric field vanishes) will
axis :
be found inside the square ?
(A) ls constant inside and varies
(A) 1
as R outside the solenoid
(B) 4 (B) Varies as R inside and is
(c) 5 constant outside the solenoid
(D) 7 (C) Varies as 1/R inside and as R
outside the solenoid
36. Which of the following questions is
(D) Varies as R inside and as 1/R
Lorentz invariant ?
ll
outside the solenoid
(A) 1F " B'f
39. The components of a vector
(B) tPr - ta',r
---s^ --J^
potentialAn = (Ao, 4,,4, Ar) are
(C) lE'lz + lB'lz qiven byA = k(-xyz, yzf,zxt,xyt),
p
----\^ --a
(D) tlt't8t' where k is a constant. The three
components of the electric field are :
37. Three charges are located on the
circumference of a circle of radius R.
(A) k(yz,z><,xy)
The two charges Q subtend an angle
(B) k(x, y, z)
90o at the centre of the circle. The
(c) (0,0,0)
charge q is symmetricallY Placed
(D) k(xt, yt, zt)
with respect to the charges Q. lf the 40. The force between two long and
electric field at the centre of the parallel wires carrying currents I,
circle is zero, what is the magnitude and I, and separated bY a distance
ofQ ? D is proportionalto :
(A) qtJ' (A) ri2tD
(B) J2q (B) l,+lrl D
(c) 2q (c) (r[/ D)2
(D) 4q (D) t{/ D2
co - 19t12 (8) Contd
Text of page 9
41. The de Broglie wavelength for a two-dimensional potential V(X, Y) =
particle of rest mass mo and charge $*^21*2 + 4y2; is
q, accelerated from rest through a (A) 2alt
potential difference of V Volts (B) 3att
relativistically is given bY .
(C) 3l2ati
(D) Sl2ati
(A) /, =
2m6qV (,-\/^r",)l 44. The quantum mechanical operator
for the momentum of a particle
moving in one dimension is given
(B)r - /h/-
by:
lfzn6qv)
d
(A) if1
dx
d
2msqV (r*/^,", (B) -ift dx .
(c) ). -
d
(c) tt
dx
(D) l- @NY d
(D) - 11
dx
42. The energy levels of the one 45. Given that the ground state energy
dimensional linear harmonic of the hydrogen atom is -13.6 eV
oscillator are : the ground state energy of
(A) All non-degenerate positronium (which is a bound state
(B) n-fold degenerate of an electron and a positron) is :
(C) (n + 12)-fold degenerate (A) + 6.8 eV
(D) (2n - 1)-fold degenerate (B) - 6.8 eV
(C) - 13.6 eV
43. The energy of the first excited
(D) - 27 .2 eV
quantum state of a particle in the
co - 19t12 (e) (Turn over)
Text of page 10
46. An atom wfth one outer electron 49. lf Lx, Ly and L. are respectively the
having orbital angular momentum 1
x, y and z components of angular
is placed in a weak magnetic field.
momentum operatator L. The
The number of energy levels into
which the higher total angular commutator [L*, Lr, L.] is equalto :
momentum state splits is : (A) iti gf, + L;)
(A) 21 +2 (B) zih L2
(B) 21 +1 (c) ih $?x - Li)
(c) 21
(D) 0
(D) 21 -1
47. For a multi-electron atom 1, L and S 50. A rod is hanging vertically from a
specify the one-electron orbital pivot. A particle travelling in horizontal
angular momentum, total orbital direction, collides with the rod as
angular momentum and total spin shown in the figure. For the rod-
angular momentum, respectively. particle system, consider the linear
The selection rules for electric dipole
momentum and the angular
transition between the two electronic
momentum aboutthe pivot. Which of
energy levels, specified by '1, L and
Sare: the following statements are true ?
(A) AL=0,t1 ;AS=0;A1 =0,+1 (A) Both linear momentum and
(B) AL=0,t1 ;AS=Q'tr'l =+l angular momentum are
(C) AL=0,tl ;AS=+1 iA1 =0, conserved
t1
(B) Linear momentum is conserved
(D) AL=0,t1 ;AS=+1 iA1 =+1
but angular momentum is not
48. The degeneracy of an excited state (C) Linear momentum is not
of nitrogen atom having electronic
conserved but angular
configuration 1s22s22p23d1 is :
momentum is conserved
(A) 6
(B) 10 (D) Neither linear momentum nor
(c) 15 annular momentum are
(D) 150 conserved
co - 19112 (10) Contd
Text of page 11
51. An electron with energy E is incident (B) The parity of the ground state
from left on a potential barrier, given
is even
by
V(x)=0forx<0 (C) The ground state energy is
=Voforx>0 thal2
as shown in the figure. For E . Vo,
(D) The first excited state energy is
the space part of the wavefunction for
x > 0 is of the form : Tlia l2
(A) e"' 54. Which one of the following
(B) e-'"
commutation relations is NOT
(c)
"iax CORRECT ? Here, symbols have
(D)
"-iax
their usual meanings :
52. A pafticle of mass m is confined in a
two dimensional square well (A) 112, 1.1 = o
potential of dimension a. This
(B) [Lx, Ly] = ittL=
potentialV(x, y) is given by
V(x, y) = Ofor-a <x< a and -a < y< a
(C) [Lz, L+] = hL*
= - elsewhere (D) [L-, L ]= hL
The energy of the first excited state
for this particle is given by :
55. A particle in one dimension moves
(A) n2t2 lma2 under the influence of a potential
(B) 2n2h2 lmaz V(x) = ax6, where a is a realconstant.
(C) 5n2rr2 lBma2 For large n the quantized energy level
(D) 4n2rr2 lma2
En depends on n as :
53. A particle is constrained to move in
(A) En - n3
a truncated harmonic potential well
(x > 0). Which one of the following (B) En- n4t3
statements is CORRECT ?
(C) En - n6/5
(A) The parity of the first excited
state is even
(D) En - n3t2
co - 19t12 ( 11 ) (Tum over)
Text of page 12
56. lf the perturbation H' = ax,where a is (B) 3h2k2 t 4m
a constant, is added to the infinite (c) rr2k2 lzm
square well (D) ti2k2 I m
Potential V(x)=g for 0<X<71 59. The wavefunction of particle moving
= - elsewhere in free space is given by, Y = eikx *
The correction to the ground state 2e-ik .The probability current density
for the real part of the wavefunction
energy, to first order in a, is :
is:
(A) ax l2
(A) 1
(B) arL
(B) hktm
(C) anl4 (C) ttk I 2m
(D) an t Ji (D) 0
57 . Consider a Hamiltonian system with 60. A proton is confined to a cubic box,
a potential energy function given by whose sides have length 10-12 m.
v(x) =x2-x4. which of thefollowing What is the minimum kinetic energy
is correct ? of the proton ? The mass of proton is
(A) The system has one stable 1.67 x 10-27 kg and Planck's
constant is 6.63 , 1o-3a js :
point
(A) 1.1 x 10-17 J
(B) The system has two stable
(B) 3.3 x 1o-17 J
points
(C) 9.9 x 1O-17 J
(C) The system has three stable
(D) 6.6 x '10-17 J
Points
(D) The system has four stable 61 . lf the total specific heat of a material
is x, what is the electronic contribution
Point
of specific heat at 0.5 mK :
58. The wavefunction of particle moving (A) x t2
in free space is given bY,Y = * (B) 2x
"ikx
2.-ikx.The energy of the particle is : (C) 25x
(A) 5n2k2 t2m (D) 4x
co - 19t12 (12) Contd
Text of page 13
62. The magnetic susceptibility of a 65. Across a first order Phase tra.
the free energY is :
materialin superconducting state is :
(A) Proportionalto the temPeratu
(A) +ve (B) A discontinuous function of the
(B) -ve temPerature
(C) Both +ve and -ve (C) A continuous function of the
(D) None of the above temperature but its first
derivative is discontinuous
63. The Hall coefficient of a metal on free (D) Such thatthefirstderivativewith
electron model is (the conductivity respect to temperature is
continuous
10(Ohm cm)-1 and the mobility
0.25 x 10-10 cmz lV-sec: 66. Two gases separated by an
impermeable but movable partition
(A) -2.5 V-m3 /amp-weber
are allowed to freely exchange
(B) 2.5V-m3/amp-weber energy. At equilibrium, the two sides
(C) 0.5 V-m3 / amp-weber will have the same :
(D) None of the above (A) Pressure and temperature
(B) Volume and temperature
64. Consider a system whose three
(C) Pressure and volume
energy levels are given by 0, e and
(D) Volume and energy
2e. The energy level e is two-fold
67 . Consider the transition of liquid water
degenerate and the other two are
to steam as water boils at a
non-degenerate. The partition temperature of 100oC under a
function of the system with B = 1 / KrT pressure of 1 atmosphere. Which one
is given by : of the following quantities does not
change discontinuously at the
(A) 1 + 2e-F'
transition ?
(B) 2e-9' + s*2Pe (A) The Gibbs free energy
(C) (1 + s-0e;2 (B) The internalenergy
(D) 1+s-Oe+s-2Be (C) The entropy
(D) The specific volume
co - 19t12 ( 13 ) (Turn over)
Text of page 14
04. Considerthe melting transition of ice 70. The valence electrons do notdirecfly
into water at constant pressure. determine the following property of a
metal
Wh ich of the fo llowing :
thermodynamic quantities does not
(A) Electricalconductivity
(B) Thermalconductivity
exhibit a discontinuous change
(C) Shear modulus
across the phase transition ?
(D) lVetallic luster
(A) lnternalenergy
71. A system of N non-interacting
(B) Helmholtzfreeenergy
class ica I po int pa rticles is
(C) Gibbs free energy constrained to move on the two-
(D) Entropy dimensionalsurface of a sphere. The
internalenergy of the system is :
69. The physical phenomenon that
3
7 NK'T
cannot be used for memory storage (A)
applications is : 1
7 NK'T
(B)
(A) Large variation in
magnetoresistance as a
(c) NKBT
5
function of applied magnetic
7 NK'T
(D)
field
72. ln a first order phase transition, atthe
(B) Variation in magnetization of a transition temperature, specific heat
ferromagnet as a function of of the system :
applied magneticfield (A) Diverges and its entropy
(C) Variation in Polarization of a remains the same
ferroelectric as a function of
(B) Diverges and its entroPY has
finite discontinuity
applied electric field
(C) Remains unchanged and its
(D) Variation in resistance of a entropy has finite discontinuitY
metal as a function of aPPlied (D) Has finite discontinuity and its
electric field entroPY diverges
co - 19t12 (14) Contd
Text of page 15
73. A system of N non-interacting and 76. The entropy function of a system is
distinguishable particle of spin 1 is given by S(E) = aE(Eo - E)where a
in thermodynamic equilibrium. The and Eo are positive constants. The
entropy of the system is :
temperature of the system is :
(A) 2KrlnN (A) Negative for some energies
(B) 3Kr/nN (B) lncreases monotonically with
(C) NKr/n 2 energy
(D) NKr/n 3 (C) Decreases monotonicallywith
74. lf Planck's constant were zero, then energy
the total energy contained in a box (D) Zero
filled with radiation of allfrequencies
at temperature T would be (K is the
77. The voltage resolution of a 12-bit
Boltzmann constant and T is digital to analog converter (DAC),
non-zero): whose output varies from -10V to
+10V is, approximately :
(A) Zero
(B) lnfinite (A) 1 mV
(B) 5 mV
(C) ,3 KT (C) 20 mV
(D) Kr (D) 100 mV
75. Across a first order phase transition, 78. If one of the inputs of a J-K flip flop is
the free energy is : high and the other is loq then the
(A) Proportionaltothetemperature outputsQand0:
(B) A discontinuous function of the (A) Oscillate between low and high
temperature
in race around condition
(C) A continuous function of the (B) Toggle and the circuit acts like
temperature but its first
a T flip flop
derivative is d iscontinuous
(C) Are opposite to the inputs
(D) Such that the first derivative with
respect to temperature is (D) Followthe inputs and the circuit
continuous acts like an S-R flip-flop
co - 19t12 ( 15 ) ( Turn over )
Text of page 16
79. Consider a Maxwellian distribution 82. A neutron passing through a detector
is detected because of :
of the velocity of the molecules of an
ideal gas. Let V',o and Vrr. denote (A) The ionization it produces
the most probable velocity and the (B) The scintillation light it produces
root mean square velocity, (C) The electron-hole pairs it
respectively. The magnitude of the produces
ratio VmplV rms is (D) The secondary particles
produced in a nuclear reaction
(A) 1
in the detector medium
(B) 2 t3 83. The ground state wave function of
(c) Jrt3 deuteron is in a superposition of s
and d states. Which of the following
(D) 3 t2
is NOT true as a consequence ?
80. A gas of N non-interacting particles (A) lt has a non-zero quadrupole
is in thermal equilibrium at moment
temperature T. Each particle can be (B) Theneutron-protonpotentialis
in any of the possible non- non-central
degenerate states of energy 0, (C) The orbitalwave function is not
2e and 4e. The average energy per spherically symmetric
particle of the gas, when Be <<1, is (D) The Hamiltonian does not
(A) 2e conserve the total angular
(B) 3e momentum
(c) 2et3 84 Two states of an atom have definite
(D) e parities. An electric dipole transition
between these states is :
81. A nucleus has a size of 10-15 m. (A) Allowed if both the sates have
Consider an electron bound within a
even parity
nucleus. The estimated energy of
(B) Allowed if both the sates have
this electron is of the order of :
odd parity
(A) l tVleV (C) Allowed if the two the states
(B) 1o2MeV have opposite parities
(C) 1o4MeV (D) Not allowed unless a static
(D) 106MeV electric field is applied
co - 19112 (16) Contd.
Text of page 17
85. Match the typical spectroscopic nucleus. The estimated energy of this
regions specified in Group lwith the electron is of the order of :
corresponding type of transitions in (A) l MeV
Group ll :
(B) 1o2Me
Group I Group ll
(c) 1o4Mev
(P) lnfra-red region (i) Electronic transitions
(D) 106MeV
electrons involving valence
(Q)Ultraviolet- (ii)Nuclear transitions B8 The isospin and the strangeness of
visible region baryon Q-are:
(R)X-rayregion (iii)Vibrational transi- (A) 1,-3
tions of molecules (B) 0,-3
(S) y-ray region (iv)Transitionsinvolving (c) 1, 3
innershellelectrons (D) 0,3
(A) (P, i); (Q, iii); (R, ii); (S, iv)
89 Deuteron has only one bound state
(B) (P, ii); (Q, iv); (R, i); (S, iii)
with spin parity 1*, isospin 0 and
(C) (P, iii); (Q, i); (R, iv); (S, ii)
electric quadrupole moment 0.286
(D) (P, iv); (Q, i); (R, ii); (S, iii) emf2. These data suggest that the
86. The ratio of intensities of the D., and nuclear forces are having :
D2 lines of sodium at high (A) Only spin and isospin
temperature is:
dependence
(A) 1 :1 (B) No spin dependence and no
(B) 2:3 tensor components
(C) 1 :3 (C) Spin dependence but no tensor
(D) 1 :2 components
87. A nucleus has a size of 10-15 m. (D) Spin dependence along with
Consideran electron bound within a tensor components
co - 19t12 (17 ) (Turn over)
Text of page 18
90. Choose the CORRECT statement (B) Type of the particles detected
from the following : can be identified
(A) Neutron interacts through (C) Energy of the particles detected
electromag netic interaction
can be distinguished
(B) Electron does not interact (D) Operating voltage of the
th rough weak interaction
detector is few tens of Volts
(C) Neutrinointeractsthroughweak
and electromag netic interaction 94. ln the decay process, the transition
(D) Quark interacts through strong z^+ -)J^+ ts:
interaction but not through (A) Allowed both by Fermi and
weak interaction Gamow-Tel ler selection rule
91. Which one of the following sets (B) Allowed by Fermi and but not
conesponds to fundamental particles ? by Gamow-Teller selection rule
(A) Proton, electron and neutron (C) Not allowed by Fermi but
(B) Proton, electron and photon allowed by Gamow-Teller
(C) Electron, photon and neutrino selection rule
(D) Quark, electron and meson (D) Not allowed both by Fermiand
Gamow-Teller selection rule
92. The iso spin (l) and baryon (B)
number of the up quark is : 95. A neutral pion of (rest) mass
(A) I=18=1 momentum decays. into two photon,
(B) I=1B=113 one of the photon emitted in the same
direction as the original pion and
(C) l=112F_=1
other in opposite direction. Energy of
(D) l=112F-=113
the each photon is given by:
93. ln case of a Geiger-Muller (GM) (A) mc2 I 4, mc2
counter, which one of the following
statement is CORRECT ?
(B) 3mc2 I 8,3mc2 I 8
(A) Multiplication factor of the (c) mc2 12, mc2 l2
detector is of the order of 1 010 (D) 5mc2 l8,mc2
co - 19112 (18) Contd
Text of page 19
96. ln a classical model, a scalar (spin-O) (B) No spin dependence and no
meson consists of a quark and an tensor components
antiquark bound V(r) = ar + b / rwhere (C) Spin dependence but no tensor
a=2OOMeVfm-1 and b = 100MeV fm. components
lf the masses of the quark and (D) Spin dependence along with
antiquark are negligible, the mass of
tensor components
the meson can be estimated as
approximately:
99. According to the single particles
nuclear shell model, the spin-parity of
(A) 141 MeV I c2
the ground state of ,O17 is :
(B) 283 MeV / c2
(C) 353 MeV / c2
(D) 425 MeY t c2
(A)
i
97 . The semi-empirical mass formula for
the binding energy of nucleus
(B)
i
contains a surface correction term. 3+
(c)
This term depends on the mass 2
numberAof the nucleus as:
5+
(D)
(A) A-1/3 2
(B) A1t3 100. ln the B-decay of neutron n -+ p + e-
(c) A2t3 * V" the anti-neutrino V", escapes
(D) A detection. lts existence is inferred
98. Deuteron has only one bound state from the measurement of :
with spin parity 1*, isospin 0 and (A) Energydistributionofelectrons
electric quadrupole moment 0.286
(B) Angulardistribution ofelectrons
efm2. These data suggest that the
nuclearforces are having :
(C) Helicitydistribution ofelectrons
(A) Only spin and isospin (D) Forward-backward asymmetry
dependence of electrons
ITTIIIIIITIIIII
co - 19t12 (1e) ( Turn over )
Text of page 20
SPACE FOR ROUGH WORK
a
rn
r
co - 19112 (2,060) (20) PhysicsOfficial key not published for this paper.
Page 1 of 20
Source: State Selection Board. Question paper published by State Selection Board.