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Pune University - Sem - III : Solid State Physics, April 2010

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Total No. of Questions : 7] P888 [Total No. of Pages : 2 [3722]-301 M. Sc. PHYSICS PHY UTN - 701 : Solid State Physics (New Course) (Sem. - III) Time : 3 Hours] [Max. Marks : 80 Instructions to the candidates : 1) Question No. 1 is compulsory. Attempt any four questions from the remaining. 2) Draw neat labelled diagrams wherever necessary. 3) Figures to the right indicate full marks. 4) Use of logarithmic tables and pocket calculator is allowed. Given : Rest mass of electron Charge of electron Planck s constant Boltzmann constant Avogadro s number Bohr Magneton Permeability of free space Permittivity of free space = = = = = = = = 9.109 10 31 kg. 1.6021 10 19 C. 6.626 10 34 J-S. 1.3805 10 23 JK 1. 6.0225 1026 (Kilomole) 1. 9.27 10 24 A-m2. 4 10 7 Henry/m. 2 8.85 10 12 C /N-m2. Q1) Attempt any four of the following : [16] a) Show that for Kronig-Penny model with P<<1, the energy of the lowest !2 p . ma2 Electrical resistivity of Cu at R.T. is 1.6 10 8 m. If WiedemannFranz law applies to this material, find the electronic contribution of thermal conductivity of Cu at 27 C. For a simple square lattice, calculate K.E. of free electron at the corner and at the mid point of the side face of the 1st Brillouin zone. How are these two values related? A superconducting material has a critical temperature of 3.7 K in zero magnetic field and a critical field of 0.0306 Tesla at zero K. Find the critical field. A paramagnetic material has 1028 atoms/m3. The magnetic moment of each atom is 1.8 10 23 A-m2. Calculate the paramagnetic susceptibility at 300 K. band at K = 0 is E = b) c) d) e) P.T.O.

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Additional Info : M.Sc. PHYSICS, PHY UTN -701 : Solid State Physics (New Course) (2008 Pattern) (Semister - III), Pune University
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