Download PTU (I. K. Gujral Punjab Technical University) MSc -Chemistry 2nd Semester May 2019 75983 PHYSICAL CHEMISTRY II Question Paper.
1 | M-75983 (S39)-1321
Roll No. Total No. of Pages : 02
Total No. of Questions : 11
M.Sc (Chemistry) (2018 Batch) (Sem.-2)
PHYSICAL CHEMISTRY - II
Subject Code : CHL-413-18
M.Code : 75983
Time : 3 Hrs. Max. Marks : 70
INSTRUCTIONS TO CANDIDATES :
1. SECTION-A is COMPULSORY consisting of TEN questions carrying TWO marks
each.
2. SECTION-B contains EIGHT questions carrying FIVE marks each and students
have to attempt any SIX questions.
3. SECTION-C will comprise of two compulsory questions with internal choice in both these
questions. Each question carries TEN marks.
SECTION-A
Q.1 Answer Briefly
a. Write down time independent Schr?dinger equation and explain all the terms.
b. Check the acceptability of the following function :
2
sin
n x
L L
?
in the range (0 to L)
c. Determine whether the following operator is linear or nonlinear.
2
2
d
dx
d. Determine whether the following functions are normizable or not over the indicated
intervals :
Sin x (0, ?)
e. Why the value of ?* ? be finite everywhere?
f. Show that if the linear operators A and B have common complete set of eigen
functions, then A and B commute.
g. For a particle in a cubical box what is the degeneracy of the level that has energy 14/3
times that of the lowest level?
h. Write the ground state term symbols for the following electronic configurations of 3d
2
and 2p
3
.
i. Calculate the number of radial node and angular node of 5d orbital.
j. Calculate the momentum of a photon having wavelength 200 nm.
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1 | M-75983 (S39)-1321
Roll No. Total No. of Pages : 02
Total No. of Questions : 11
M.Sc (Chemistry) (2018 Batch) (Sem.-2)
PHYSICAL CHEMISTRY - II
Subject Code : CHL-413-18
M.Code : 75983
Time : 3 Hrs. Max. Marks : 70
INSTRUCTIONS TO CANDIDATES :
1. SECTION-A is COMPULSORY consisting of TEN questions carrying TWO marks
each.
2. SECTION-B contains EIGHT questions carrying FIVE marks each and students
have to attempt any SIX questions.
3. SECTION-C will comprise of two compulsory questions with internal choice in both these
questions. Each question carries TEN marks.
SECTION-A
Q.1 Answer Briefly
a. Write down time independent Schr?dinger equation and explain all the terms.
b. Check the acceptability of the following function :
2
sin
n x
L L
?
in the range (0 to L)
c. Determine whether the following operator is linear or nonlinear.
2
2
d
dx
d. Determine whether the following functions are normizable or not over the indicated
intervals :
Sin x (0, ?)
e. Why the value of ?* ? be finite everywhere?
f. Show that if the linear operators A and B have common complete set of eigen
functions, then A and B commute.
g. For a particle in a cubical box what is the degeneracy of the level that has energy 14/3
times that of the lowest level?
h. Write the ground state term symbols for the following electronic configurations of 3d
2
and 2p
3
.
i. Calculate the number of radial node and angular node of 5d orbital.
j. Calculate the momentum of a photon having wavelength 200 nm.
2 | M-75983 (S39)-1321
SECTION-B
2. The wave function ? of a certain system is a linear combination of following :
2
1 3
1 ,
2 2
? ? ? ? ? where ?
1
and ?
2
are the eigen functions with eigen value E
1
and E
2
.
What is probability that the system energy will be observed to be E
2
?
3. Show that the function
2
ax
xe
?
? ? is an eigen function of the operator
2
2 2
2
4 .
d
a x
dx
? What
is its eigen value?
4. Calculate the probability that a particle in 1-D box of length L is found between 0 and
L/2.
5. Determine the value of A
m
so that the wave function ( ) ,
im
m m
A e
?
? ? ? where, m = 0, ?1,
?2 (0 ? ? ? 2 ?) are normalized.
6. A particle in one dimensional box simple harmonic oscillator in x-direction is perturbed
by a potential ?x. What is the 1
st
order correction for ground state?
7. Find out
> for a harmonic oscillator in its ground state.
8. Write a short note on Russel-Saunders (R-S) coupling.
9. Arrange the following states (term symbols) for p
2
configuration in the increasing order
of energy :
1
D,
3
P and
1
S. Justify the trend of the result.
SECTION-C
10. The radial function for a 2s electron in hydrogen atom is given by :
0
3/2
/2
2
0 0
1 1
1 .
2 2
r a
s
r
R e
a a
?
? ? ? ?
? ?
? ? ? ?
? ? ? ?
Determine the number and location of node(s) in the 2s wave function. Plot the plot of
R
2s
against ?r? and also the radial distribution plot for R
2s
.
OR
10. Write the electronic Hamiltonian of a hydrogen molecule ion (H
2
+
) and explain each term
briefly and clearly with the help of a schematic diagram.
11. Derive the Huckel MO theory for ethylene. Draw simple schematics of the bonding and
anti-bonding energy level diagrams.
OR
11. Describe the variation theory and prove the same in detail.
NOTE : Disclosure of Identity by writing Mobile No. or Making of passing request on any
page of Answer Sheet will lead to UMC against the Student.
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This post was last modified on 05 December 2019