Mcq quantum statistics

MCQ1

1. 19
QUANTUM STATISTIC
MULTIPLE CHOICE QUESTIONS
articles can
occupya-- -
cell in
11. In B.E. statistics any numberof particlescan occupy a
phasespace.
(a) Single
(c) Triple
cell in
(b) Double
(d) Zero
utrons, u-mesons
21. Examples of
- -
-are electrons, poSitrons, protons,
neutrons, u-m
all of spin quantum number s
=
%.
(a) Electron (6) Bosons
(d) Protons
(c) Fermions
31. Examples of
- -
-
are; a-
particles with
spin quantumnumbers =0. photons for which s =1, deuterons for whichs
=
1 and T
mesons for
which s = 0.
(a) Electron
(b) Bosons
(c) Fermions
(d) Protons
4]. Fermi-Dirac statistics
cannot be applied to,
-
(a) Electrons
(b) Photons
(c) Fermions
d) Protons
51. The wave functionof fermionsis not,
-
-
(a) Symmetric
(C) Continuous
(b) Single Valued
(d) Differentiable
61. Bose-Einstein statistics can be
applied to,
-
-. (a) Electrons
(c) Fermions
(b) Photons
(d) Protons
128

2. Bose-
-Einstcin
statistics
is for
(a) Distinguisha particles
istics
is for th
-
--
a) Dis
(b) Syimetrical Particles
alf integral spin
)
Particles
with half
integral spin
l spin
(d)
Particles
with
integrals
The
obey,-- -
(a) Autbau principle
(D)
Pauli's
Exclusion
Principle
he
difierence
between fermions and bosonsis that bosonsdo not
mum Multiplicity
(e)
Hund's
Rule of
MaximumMultiplicit
)
Heisenberg's
Uncertainty
Principle
,
The
Maxwell-Boltzmann
law is givenby
the expression n
(b
(8)
a+E1 e
(
C) +1
a+pE+k
10, The
Bose-Einstein
Statistics is given by
the expression n,
=-.
(a)8,e a+pE (b)
Si
a+E+1 e
)
(d)
apE 1
e
11 .
Fermi-Dirac statistics cannot be appliedto,
-
--
(a) Electrons
c) Fermions
(b) Photons
(d) Protons
12]. In Bose-EinsteinStatistics,
one energy
statecan be occupiedby
more than,---
(a) One particle
)Two particles
(b) Threeparticles
(d) Infinite particles
51. The differencebetween fermions and bosons is that bosons'wave
functionis,--
(a) Continuous (6) Single valued
(d) Differentiable(e) Symmetric
129

3. hclow what emperaturg
14.
lHclium shows
Bose-Eimstem
condensation below
what e
(a) 100.5 K
(c) 5.12 K
(b) 12.3 K
(d) 2.13 K
IS1.
Maxwell-Boltzmann statistics cannot
be appliedto,
-
(a) Atoms
(b) Molecules
(d) Lattice
(c)Photons
161. Bose-Einstein statistics occupation indexis,
-
-
(b) 0 (a)-1
(d) 2 (c) 1
171. In Bose-Einstein statics particles obeying, ---
(a) ldentical, distinguishable
with
integralSpin
(b) Identical, distinguishable without
any Spin
(c) ldentical, indistinguishable withoutany Spin
(d)Identical, distinguishable with
half-integral Spin
18.- appliesto ideal
gasmolecules without
any spin.
(b) Maxwell-Boltzmann's
(d) None of these
(a) Bose-Einstein
(c)Fermi-Dirac
191.
According to
-
-
-
statistics,
energy at
absolute
zero
cannot be
zero
(a) Bose-Einstein
(b) Fermi-Dirac
(c)
Maxwell-Boltzmann's
(d) None of these
201. Number of
meaningful of way of
arranging3 fermionsin 4
compart-
ments is, ---
(a) 3
c) 2 (b) 4
(d)1
211. Number of
meaningful of
way of
arranging 2
Bosons in 3
compar
ments is, ---
(a) 3
(c)5 (b) 4
d) 6 221. Using B.E.
Statistics
number of
way
arranging 3
particles m
is,-
in 4 cells(a) 5
(c)15
(b) 10
(d) 20
130

4. sons
have svmmetrical
wave functions. They do not obey,
(a) Autbauprinciple
b)
Pauli's
ExcusionPrinciple
Hund's
Rule of Maximum Multiplicity
d)
Heisenberg's
UncertaintyPrinciple
24. Maxwe,
(a) Distinguishable particles
b) Indistinguishable Particles
c)
)Particles
with
halfi integral spin
l.
well-Boltzmann
law is for the,--
c)P
d)
Particles
with integralspin
5.
Number of meaningful
fway of arrang1ng4 fermions in 5 compart-
ment is,
(b) 4
d) 6
(a) 3
c)5
261.
Numberof
meaningful
of way of arranging
3 Bosons in 4
compart-
ment is,
(a) 05
(c) 15
(b) 10
(d) 20
271, Using
B.E. Statistics number of
way arranging
2 particles in 4 cells
IS, -- -
(a) 02
(c) 08
b) 04
(d) 10
281. In quantum
statistics particles are,-
- -
(a) Indistinguishable
(c) Half integral spin
(b) Distinguishable
(d) Integralspin.
291.
In classical statistics, particles are,
- -
(a) Indistinguishable.
(b) Distinguishable.
(c) Half integralspin.
(d) Integral spin.
301. In quantum statistics volume of cell, ---
(a) Cannot be less than h' (b) Less than h
(c) Less than h
(d) Less than h
131

5. the
()40
4 cells and the savmd hav m
vla akulanthe
ithemadhMauis
probabilityof the macnosiatr(. t ihe atilosubey Fi
statistics
(a) 20 b)40
(c) 60 (d) so
35. In B.E. Statistics, four particles are distributed in tive energylevels
then calculate possible ways of distribution.
(a) 40 (b) 50
(c) 60 (d) 70
361. In M.B. Statistic, thermodyanamic probability formula is,
-
-
b)
(d) None of these
371. in B.E Satistic.hermodynamicprobabilityformulais,
b) (agi -1
-1
CNoneof tuese

6. Cmi-Dirac
statistics is for the,
a) Distinguishable pvarticles
() Symetrical P'articles
Particles
with half integral spin
d)Particles
with integralspin
30.
(a) F.D.
--statisties apply to ideal gas molccules without any spin.
(b) B.E.
(d) None of these
(C)M.B.
401.
B. E.
statistics is to hotons and symmetrical particles known
as
-
with integral spin angular momentum.
(b) Bosons (a) Molecules
(c) Photons (d) Fermions
HLF. D. applies
to electrons and anti-symmetrical particles known as
-
- % integralspin angularmomentum.
(a) Photons
(c) Molecules
(b) Fermions
(d) Bosons
421.-- -statistics, energy at absolutezero cannotbe zero.
(a) B.E.
(c) M.M.
(b) F.D.
(d) M.B.
431.
Bosons obey,
--
(a) Photoelectriceffect b) Pauli'sexclusion principle
(d) None of these(c) Coulombs law
44 .
Photonsobey the---
statistics.
(a) B.E.
(c) F.D.
(b) M.B.
(d) M.M.
451.
In F. D. Statistics, four particles
are distributed in five energylevels
then calculate possible ways of distribution.
(a) 02 (b) 03
(C) 04 (d) 05
b. The energy emitted by
a blacksurfaceshouldnot vary by,
--
(a) Time
(b) Wavelength
(d) None of these (c) Temperature
133

7. are
illed
by
electro
471. negy
value
iup to
which nll the encrgy
slatcsarc
t 0K nd above
wlhich all the cnergy
states arc cnnt.
a'lanek's enetgy
re
Cmptyw
kwn (b) Max well enery
(d) Fermi energy.
(c) BosoN CHergy
48.
P'aticles obey
P'auli's
exclusion principle
so that
gIVen cel
(n) Not more than one particle
(b) Not more than threc particles
(c) Not more than four particles
(d) More than one particle
Can ccupy a
3
Bosons in 5
cornpart
491.
Numberof meaninglul
of way of arranging
3 Bosons
ments is, -
(b) 06
(a) 04
(d) 05 (c) 08
501. Numberof meaningful
of way
of arranging 3 fermionsin 5
comparn
mentsis,
- -
(a) 12 (b) 06
(c) 08 (d) 10
51. The law governing
the distribution of radiant
enerey
over
wavelength
for a blackbody at a lixed
temperature is
referredto as.
(a) Kirchhoff's law
(b) Planck'sradiation law
(c) Wein's formula
(d) Lambert's law
521. Fermi energy level, --
(a) Is the
top most filled
energy level at OK
temperature
(b) Is the
top most filled
energy level at 0"C
temperature
(c) Separatesvalanceband and conduction band
(d) Both 'a' and 'e
531. Fernmi-Dirac (FD) statistics
governs,
--.
(a) Fermions
(b) Free electrons
(c) Gas molecules
(d) Both a' and 'b'
134