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Pune University - Sem - III : Solid State Physics, April 2010 (Old Course)

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Total No. of Questions : 7] P878 [Total No. of Pages : 2 [3722]-31 M. Sc. PHYSICS PHY UT - 701 : Solid State Physics (Old Course) (Sem. - III) Time : 3 Hours] [Max. Marks : 80 Instructions to the candidates : 1) Question No. 1 is compulsory and solve 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 table and pocket calculator is allowed. Given : Rest mass of the electron = 9.109 10 31 kg. Charge on the electron = 1.602 10 19 coulomb. Planck s constant = 6.026 10 34 J-s. Boltzmann constant = 1.3805 10 23 J.K 1. Avogadro s number = 6.0225 1026 (kilo mole) 1. Bohr magneton = 9.27 10 24 A-m2. Permeability of free space = 4 10 7 Henry/m. 2 Permittivity of free space = 8.85 10 12 C /N-m2. Q1) Attempt any four of the following : [16] a) Find the energies of the six lowest energy levels of a particle in a cubical box which of the levels are degenerate? b) Draw neat diagrams showing construction of the first two Brillouin sones in a two dimensional square lattice. c) If all the molecular dipoles in a 1.0 cm. radius water drop are pointed in the same direction, calculate the intensity of polarization. Dipole moment of the water molecule is 6 10 30 c-m. d) Calculate the critical current which can flow through a long thin superconducting wire of aluminium of diameter 10 3 m. The critical magnetic field for aluminium is 7.9 103 amp./m. e) A paramagnetic substance has 1028 atoms/m3. The magnetic moment of each atom is 1.8 10 23 amp.m2. Calculate the paramagnetic susceptibility at 300K. f) State Larmor s theorem. P.T.O.

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Additional Info : M.Sc. PHYSICS, PHY UT - 701 : Solid State Physics (Old Course) (Semister - III), Pune University
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