1. Bose-Einstein statistics can be applied to particles with integer spin like photons and bosons, while Fermi-Dirac statistics can be applied to particles with half-integer spin like electrons and fermions. 2. Bose-Einstein statistics allows multiple particles to occupy the same quantum state, whereas Fermi-Dirac statistics restricts no more than one particle to occupy a quantum state due to the Pauli exclusion principle. 3. Examples of particles that obey Bose-Einstein statistics include photons, while examples of particles that obey Fermi-Dirac statistics include electrons.

1. 19 QUANTUM STATISTIC
MULTIPLE CHOICE QUESTIONS
articles can occupy a-- -
cellin
11. In B.E. statistics any number of particles can occupy a
phase space.
(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 quantum number s =0.
photons for which s =1, deuterons for which s =
1 and T
mesonsfor
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 function of fermions is 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-
- E i n s t c i n
s t a t i s t i c s
isfor
(a)Distinguisha particles
istics is forth - - -
a )
D i s
( b )
S y i m e t r i c a lP a r t i c l e s
alfintegral spin
)
P a r t i c l e s
withhalf
integral spin
l spin
(d)
Particles
with
integrals
The
obey,--
-
(a)Autbauprinciple
(D)
Pauli's
E x c l u s i o n
Principle
he
d i f i e r e n c e
b e t w e e n
fermions and bosons is that bosons do not
mum Multiplicity
(e)
Hund's
Rule of
M a x i m u m
Multiplicit
)
Heisenberg's
Uncertainty
Principle
,
The
Maxwell-Boltzmann
law is givenbythe expressionn
(b
(8)
a+E1
e
(
C) +1
a+pE+ k
10,TheBose-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 applied to, - - -
(a) Electrons
c) Fermions
(b) Photons
(d) Protons
12]. In Bose-Einstein Statistics, one energy state can be occupied by
morethan,---
(a) One particle
)Two particles
(b) Three particles
(d) Infinite particles
51. The difference between 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 statisticscannot be applied to, -
(a) Atoms (b) Molecules
(d) Lattice
(c)Photons
161. Bose-Einstein statistics occupation index is, - -
(b) 0
(a)-1
(d) 2
(c) 1
171. In Bose-Einstein statics particles obeying, - --
(a) ldentical, distinguishable with integral Spin
(b) Identical, distinguishable without any Spin
(c) ldentical, indistinguishable without any Spin
(d)Identical, distinguishable with half-integral Spin
18.-applies to ideal gas molecules 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 ofway of
arranging3 fermions in 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
particlesm
is,-
in 4cells
(a) 5
(c)15 (b) 10
(d) 20
130

4. sons
have svmmetrical wave functions. They do not obey,
(a)Autbau principle
b)Pauli's
Excusion Principle
Hund's
RuleofMaximum Multiplicity
d)
Heisenberg's
Uncertainty Principle
2 4 .
M a x w e ,
(a)Distinguishable particles
b) Indistinguishable Particles
c)
)Particles
with halfi
integral spin
l.
w e l l - B o l t z m a n n
law isforthe,--
c ) P
d)
Particles with integral spin
5.
Numberofmeaningful fway ofarrang1ng4 fermions in 5 compart-
mentis,
(b) 4
d) 6
(a)3
c)5
261.
Numberofmeaningfulofway ofarranging 3 Bosons in 4 compart-
mentis,
(a) 05
(c) 15
(b) 10
(d) 20
271, Using B.E. Statistics number of way arranging 2 particles in 4 cells
I S , - - -
(a) 02
(c) 08
b) 04
(d) 10
281.Inquantum statistics particles are,- - -
(a) Indistinguishable
(c) Halfintegral spin
(b) Distinguishable
(d) Integral spin.
291. In classical statistics, particles are, - -
(a) Indistinguishable.
(b) Distinguishable.
(c) Half integral spin.
(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 thanh
131

5. the
(
)
4
0
4
cells
and
the
savmd
hav
m
v
l
a
akulan
the
ithemadhMauis
probability
of
the
macnosiatr
(.
t
ihe
atilos
ubey
Fi
statistics
(a)
20
b)40
(c)
60
(d)
so
35.
In
B.E.
Statistics,
four
particles
are
distributed
in
tive
energy
levels
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.
hermodynamic
probability
formula
is,
b)
(agi
-1
-
1
CNone
of
tuese

6. Cmi-Dirac
statistics
is
for
the,
a
)
Distinguishable
pvarticles
(
)
Symetrical
P'articles
Particles
with
half
integral
spin
d)Particles
with
integral
spin
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
-
-
%
integral
spin
angular
momentum.
(a)
Photons
(c)
Molecules
(b)
Fermions
(d)
Bosons
421.--
-statistics,
energy
at
absolute
zero
cannot
be
zero.
(a)
B.E.
(c)
M.M.
(b)
F.D.
(d)
M.B.
431.
Bosons
obey,
-
-
(a)
Photoelectric
effect
b)
Pauli's
exclusion
principle
(d)
None
of
these
(c)
Coulombs
law
44
.
Photons
obey
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
energy
levels
then
calculate
possible
ways
of
distribution.
(a)
02
(b)
03
(C)
04
(d)
05
b.
The
energy
emitted
by
a
black
surface
should
not
vary
by,
-
-
(a)
Time
(b)
Wavelength
(d)
None
of
these
(c)
Temperature
133

7. are
illed
by
el
e
ct
r
o
471.
negy
value
iup
to
which
nll
the
encrgy
slatcs
arc
t
0K
nd
above
wlhich
all
the
cnergy
states
arc
cnnt.
a'lanek's
enetgy
re
Cmpty
w
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.
Number
of
meaninglul
of
way
of
arranging
3
Bosons
m
e
n
t
s
i
s
,
-
(b)
06
(a)
04
(d)
05
(c)
08
501.
Number
of
meaningful
of
way
of
arranging
3
fermions
in
5
comparn
ments
is,
-
-
(a)
12
(b)
06
(c)
08
(d)
10
51.
The
law
governing
the
distribution
of
radiant
enerey
over
wavelength
for
a
black
body
at
a
lixed
temperature
is
referred
to
as.
(a)
Kirchhoff's
law
(b)
Planck's
radiation
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)
Separates
valance
band
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