Answer the following questions
Question 1) Derive Braggs Law for X-ray diffraction in crystals. Explain the principle of laueís diffraction method and describe the origin of Laue spots.
Question 2) Explain the powder methos for X-rax diffraction.
Question 3) Describe with appropriate examples the ionic covalent, metallic and molecular binding in solids.
Question 4) Derive the dispersion relation for the frequency of lattice vibrations for linear monoatomec chain. Explain the long wavelength limit.
Question 5) Explain the Einstein model of lattice heat capacity. Explain the successes and failures of this model.
Question 6) Describe in detail the free electron model in three dimensions.
Question 7) Describe the Fermi function and sketch Fermi distribution function for different temperatures.
Question 8) Explain the basic principles of Hall effect in semiconductors. Explain an experimental set-up for the measurement of Hall voltage.
Question 9) Show that product of electron and hole concentrations in a semiconductor is constant at a given temperature. How is the energy gap find out from the measurement of electrical conductivity of a semiconductor?
Question 10) Write detail note on the following:
(a) Structure of diamond and co-ordinates of the atoms in the structure
(b) Experimental determination of elastic constants of solids.
(c) Motion of electrons in a periodic potential well
(d) Injection Laser