Model paper

PAPER- III : QUANTUM MECHANICS -I PHY 1.3

All Questions carry equal marks

1 a). State and prove Ehrenfest’s theorem? Write the significance of the result.

b). Obtain the Eigenvalue of a particle in a finite Potential-well?

normalization, in quantum mechanics

d). Solve for eigen values and eigen functions of one Dimensional Harmonic oscillator by

operator method

2 a) Discuss the eigen value problem of L2 and Lz

3. a) Outline the time-independent Non-degenerate perturbation theory for obtaining the

energy levels of a stationary system and apply it to find the energy of the ground state of

Helium-atom

system.

c) Explain linear Stark effect on hydrogen-atom?

4 . a) State and prove variation theorem.

b) Evaluate the ground state energy of helieum atom using varation method.

theory.

d) Derive Fermi – Golden rule for the transition into continuum.

5 Write notes on any two of the following.

a) Hermitian-operator and it’s eigen values

b) Angular momentum in Quantum-mechanics

c) Adibatic approximation.

d) Einstein transition probabilities

M.Sc.Physics ( I SEMESTER )

PAPER- IV : ELECTRONICS PHY 1.4

Time 3 hours Max Marks 80

Answer ALL Questions. All questions carry equal marks

1 a) Explain about the important electrical parameters of OP.AMP.

b) Explain the type of feedback used with amplifiers.

differentiation operations.

2. a) Draw the circuit diagram of a R-C phase shift oscillator and explain its working.

b) Give the reasons for instability in oscillator circuits.

d) Explain the principle of working of switching regulator

3. a) Draw the circuit diagram to produce DSBSC modulation.

b) Explain the method of detecting DSBSC.

d) With truth tables explain the working of T-flip flop, D- flip flop JK flip flop and RS clocked

flip-flop.

4 a) Explain with functional block diagram the architecture of 8085.

b) Write an assembly language program to create time delay of 200 microseconds if the clock

frequency of 8085 processor is 1MHz.

d) Explain the architecture of microcontroller 8051.

5. Write notes on any TWO of the following

a) Differential amplifier and CMRR

b) Effect of negative feedback on gain and band width

c) Frequency division multiplexing

d) Memory organization

Acharya Nagarjuna University M.Sc Physics II Semester

Model paper PHY 2.1

Paper 1 : Quantum Mechanics -II

Answer all questions

1. (a)What are C-G coefficients? Describe their properties

(b) Derive C-G coefficients for

(d). Prove any three properties of Pauli’s spin matrices.

2. (a) What do you understand by a picture in quantum dynamics? What is the difference

between different pictures.

(b) Obtain the equation of motion in Heisenberg picture and explain constant of motion .

with specific examples.

(d) Apply the Heisenberg picture to a harmonic oscillator and explain its significance.

3. (a) Discuss Born- approximation in scattering calculations.

(b) Calculate the differential cross-section for the square well potential.

(d) Discuss the significance of Green’s function in scattering theory.

4 (a) Explain L.C.A.O. Method.

(b) Solve the SchrÃ¶dinger equation for the hydrogen molecule ion using L.C.A.O. Method.

hydrogen molecule.

5. Write notes on any TWO of the following .

(a) Wigner-Eckart theorem

(b) Creation and annihilation operators

(c) Optimal theorem

(d) Born –Openheimer approximation

M.Sc.Physics II SEMESTER

PAPER- II. STATISTICAL MECHANICS PHY 2.2

Time :3hrs. Max.marks.80

Answer any five questions. All questions carry equal marks

1. a) State and prove equipartition theorem.

b) What is Gibb’s Paradox ? How was it resolved?

namely, Microcanonical, canonical and Grand canonical ensemble.

d) State and prove Liouvilles theorem .

2. a) Obtain expression for ensemble density in the canonical ensemble

b) Discuss energy fluctuations in canonical ensemble.

between canonical and Grand canonical ensembles.

3. a) Obtain the Sackur Tetrode equation for ideal Boltzmann gas on the basis of microcanonical

ensemble.

ensemble.

4. a) Derive the equation of State of an ideal Fermi gas and discuss the Fermi energy and

pressure for ideal Fermi gas at low temperature and high densities.

function. Explain the role of super fluidity and conductivity.

5. Write short notes on any TWO of the following

a) Entropy of classical ideal gas

b) Density matrix

c) Landau diamagnetism

d) Brownian motion

SEMESTER-II

Paper- IV Solid State Physics (General) PHY 2.4

Time:3hrs. Max. marks.80

Answer ALL questions .All questions carry equal marks

1. a) What do you mean by periodic array of atoms ?

b) What do you mean by primitive lattice cell

d)Describe the crystal structure of Diamond.

2.a) Derive Laue conditions for X-ray diffraction.

b) Compare the relative advantages and disadvantages of Laue’s powder and Rotating crystal

method of determining Crystal structures.

d) Explain why neutron diffraction is complementary to X-ray diffraction in the determination

of crystal structure.

3. a)What is free electron Fermi Gas

b)Obtain an equation for number of orbitals for unit energy in three dimensions.

conductivity

d) Discuss the quantization of orbits in magnetic field.

4.a) Describe the behaviour of the electrons in a periodic potential using Kronig-Penny model.

b) What are its important conclusions.

d) Describe the classification of band theory of solids.

5. Write short note on any TWO of the following.

a) Sodium chloride crystal structure

b) Reciprocal lattice to bcc lattice

c) De-Hass-van Alphen effect

d) Bloch theorem

M.Sc Physics (III Semester)

Paper II: NUCLEAR AND PARTICLE PHYSICS PHY 3.1

Answer ALL questions All questions carry equal marks

1 a) Explain the features of binding energy per nucleon (B/A)versus mass number(A) curve

b)Obtain an expression for electric quadrupole moment of nucleus. What would be the value of

classical quadrupole moment for a single proton located at the nuclear equator?

force assumption

d) Describe the basic ideas in Yukawa’s meson exchange theory of the nuclear force and show

how the pion was postulated.

2. a) Explain how magic numbers are predicted based on the shell model of nucleus.

b) Determine the ground state spin and parity of the following nuclei 1) 6C13 2) 7N16 3)

28Ni61 4)33As75

d) Explain the Mossbauer effect.

3. a) What is the Q-equation of nuclear reaction? How the nuclear reactions are classified based

on the Q- value?

b) Explain about the direct and compound nuclear reaction mechanisms. Give some examples.

energy release in nuclear fission.

d) Briefly describe various types of reactors.

4 a) How do you classify the electrostatic accelerators?

b) Explain the working principle of cyclotron.

d) How nuclear medicine can be used for diagnostic purpose?

5. Write notes on any two of the following

a) Spin dependence of nuclear forces

b)Weizsacker’s semi empirical mass formula

c)Classification of elementary particles

d) SU(2) and SU (3) multiplet

Acharya Nagarjuna University M.Sc Physics III Semester

Model paper

Paper 2:ADVANCED QUANTUM MECHANICS PHY 3.2

Answer the following questions. All questions carry equal marks

1 (a) Derive the Klein – Gordon relativistic wave equation for a free particle.

(b) What are the short comings of the Klein – Gordon equation? Explain how they are

removed by Dirac’s equation.

(d) Show that the spin of electron is directly explained by Dirac’s theory .

2. (a) show that the Dirac equation is invariant under Lorentz transformations.

(b) Explain charge conjugation from Dirac’s theory.

physical significance.

(d). Explain the Dirac equation for zero mass

3. (a) Explain the method of second quantization .

(d) Discuss the quantization of Dirac field.

4. (a) Give the Classical field theory of Real scalar field and obtain for the Lagrangian.

equation to obtain the formula for transition probability.

(d) Discuss the transition probabilities for emission and absorption in radiation field.

5. Write any TWO of The Following :

(a) Dirac matrices and their properties.

(b) Negative energy solutions.

(c) Creation, annihilation and number operators and their physical significance.

(d) Hamiltonian formulation of a classical field.

Acharya Nagarjuna University M.Sc Physics IV Semester

Model paper PHY 4.1

Paper I:ELECTROMAGNETIC THEORY AND MODERN OPTICS

Answer all questions

1. a) State the boundary conditions that are to be satisfied by the electric and magnetic fields at

the surface of separation of two dielectric media.

b) Deduce the expressions for the intensity of the reflected and transmitted wave is incident

at such an interface.

2. .a) Explain the working of ruby laser .

b) Discuss the line broadening mechanism.

d) Derive the expression for the laser action in semiconductor laser.

3. a) Give the basic principles of holography and explain its importance and uses.

4 a) Discuss in detail the mode theory of circular wave guides.

b) Discuss various types of dispersions in optical fibers.

d) Explain the signal degradation in optical fibers.

5 Write notes on any two of the following

a) Retarded Potentials

b) Population Inversion

c) Speckle pattern

d) Attenuation in optical fibers