M.Sc Physics Solid State Physics – I Question Paper 2012

Loyola College M.Sc. Physics April 2012 Solid State Physics – I Question Paper PDF Download

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LOYOLA COLLEGE (AUTONOMOUS), CHENNAI – 600 034

M.Sc. DEGREE EXAMINATION – PHYSICS

THIRD SEMESTER – APRIL 2012

PH 3810 / 3807 – SOLID STATE PHYSICS – I

 

 

Date : 21-04-2012             Dept. No.                                        Max. : 100 Marks

Time : 1:00 – 4:00

PART – A

Answer ALL the questions:                                                                                                 (10 X 2 = 20)

  1. List all the two dimensional lattices and the corresponding lattice specifications
  2. Find the Miller indices for a plane with intercepts a/2,b,∞
  3. How do you account for thermal expansion of solids?
  4. State Widemann-Franz law.
  5. State the assumptions of free electron theory of metals.
  6. Plot phonon dispersion curve for a diatomic lattice.
  7. Give the significance of effective mass of an electron.
  8. What is forbidden energy gap?
  9. Explain the concept of hole. Which has greater mobility, electron or hole?
  10. Explain “quantization of electron orbits”.

PART – B

Answer any FOUR questions:                                                                                             (4 X 7.5 =30)

  1. What is a reciprocal lattice? Obtain the primitive translation reciprocal lattice vectors for an FCC direct lattice.
  2. Derive an expression for the thermal conductivity of a solid in terms of specific heat capacity.
  3. Explain Hall effect based on the free electron theory of metals.
  4. Discuss the different zone schemes by plotting suitable E-K curves.
  5. Explain in detail the effect of electric field on the Fermi surface.

PART – C

Answer any FOUR questions:                                                                                             (4 X 12.5 =50)

  1. i) Discuss the formation of diffraction pattern on the photographic film with the necessary theory of X- ray powder diffraction. (8.5)
  2. ii) Write a short note on point defects.                                                    (4)
  3. Derive an expression for the specific heat of solids on the basis of Debye model.
  4. Obtain an expression for the density of states as a function of energy for electron gas in 3D at 0K. Hence derive expressions for Fermi energy and total energy.
  5. Outline the theory of the Kronig-Penny model and hence discuss the formation of allowed and forbidden energy bands.
  6. Describe any one experimental method of determining the Fermi surface.

 

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Loyola College M.Sc. Physics Nov 2012 Solid State Physics – I Question Paper PDF Download

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LOYOLA COLLEGE (AUTONOMOUS), CHENNAI – 600 034

M.Sc. DEGREE EXAMINATION – PHYSICS

THIRD SEMESTER – NOVEMBER 2012

PH 3810 – SOLID STATE PHYSICS – I

 

 

Date : 01/11/2012            Dept. No.                                        Max. : 100 Marks

Time : 9:00 – 12:00

PART – A

Answer ALL questions:                                                                                                         (10×2=20)

  1. In a cubic unit cell, find the angle between normals to the planes (111) and (121)
  2. What is the difference between neutron diffraction and electron diffraction?
  3. Define density of phonon state.
  4. List the major contributions to the specific heat capacity.
  5. What do you understand by free electron gas.
  6. Write down the expression for the electronic contribution to specific heat capacity.
  7. Why a solid whose energy bands are filled cannot be a metal?
  8. Explain the concept of forbidden bands.
  9. Define Fermi surface.
  10. Explain electron and hole orbits.

PART – B

Answer any FOUR questions:                                                                                               (4×7.5=30)

  1. Derive Laue’s equations for diffraction of X-rays in a crystal lattice.
  2. Derive the w-k dispersion relationship for a one dimensional monoatomic lattice
  3. Write a note on Fermi-Dirac statistics and explain the effect of temperature on Fermi-Dirac statistics
  4. State and prove Bloch’s theorem.
  5. Discuss any one experimental method of Fermi surface study.

PART – C

Answer any FOUR questions            :                                                                                             (4×12.5=50)

  1. Discuss in detail with diagram Laue and powder method of determining crystal structure
  2. Discuss the Debye model of lattice specific heat capacity. Explain how this model is able to account for low temperature and high temperature behaviour.
  3. Explain the concept of density of available electron states in three dimensions. Obtain the expressions for the Ef0 and average kinetic energy.
  4. Explain how the formation of bands in the Kronig-Penny model may be accounted for.
  5. Discuss the theory of effect of electric field on the Fermi surface.

 

 

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