PART – A

Unit-I

Modern Physics                                                                                                                                   

Introduction to  Blackbody radiation spectrum,  Photo-electric effect, Compton effect.  Wave particle Dualism. de Broglie hypothesis –  de Broglie wavelength, extension to electron particle.  – Davisson and Germer Experiment. 

Matter waves  and their Characteristic properties.    Phase velocity, group velocity and Particle velocity.  Relation between phase velocity and group velocity.  Relation between group velocity and particle velocity.  Expression for   deBroglie wavelength using group velocity.  

                                                                                                               7 Hours

Unit-II

Quantum Mechanics     

Heisenberg’s uncertainty principle and its physical significance(no derivation). Application of uncertainty  principle (Non-existence of electron in the nucleus). 

Wave function.  Properties and Physical significance of a wave function.  Probability density and Normalisation of wave function.    Setting up of  a one dimensional,  time independent,  Schrödinger wave equation. Eigen values and eigen function.  Application of Schrödinger wave equation – Energy eigen values for a free particle. Energy eigen values of a particle in a potential well of infinite depth.   

                                                                                                               6 Hours

Unit-III

Electrical Conductivity in Metals

 Free-electron concept. Classical free-electron theory - Assumptions.  Drift velocity.  Mean collision time and mean free path.  Relaxation time.   Expression for drift velocity.  Expression for electrical conductivity in metals.  Effect of impurity and temperature on electrical resistivity of metals.  Failure of classical free-electron theory.

Quantum free-electron theory - Assumptions.  Fermi - Dirac Statistics. Fermi-energy – Fermi factor.   Density of states (with derivation).   Expression for electrical resistivity / conductivity.   Temperature dependence of  resistivity of metals.  Merits of  Quantum free – electron theory.

                                                                                               7 Hours     

Unit-IV

Dielectric and Magnetic Properties of Materials                                        

Dielectric constant and polarisation of  dielectric materials.   Types of polarisation. Equation for internal fields in liquids and solids (one dimensional). Classius – Mussoti equation. Ferro and Piezo – electricity (qualitative). Frequency dependence of dielectric constant.   Important applications of dielectric materials.     

Qualitative treatement of Langevin’s  and Weiss’s equation for  dia,  para and ferro-magnetic materials.   B-H graph in ferromagnetic materials. Soft and Hard magnetic materials.  Applications. 

                                                                                                                        7 Hours

PART – B

Unit - V

Lasers 

Principle and production.   Einstein’s coefficients (expression for energy density).   Requisites of a Laser system.  Condition for Laser action. Principle, Construction and working of  He-Ne and  semiconductor Laser.  Applications of Laser – Laser welding, cutting and  drilling.  Measurement of atmospheric pollutants.  Holography – Principle of Recording and reconstruction of 3-D images.  Selected applications of holography. 

                                                                                             .                 6 Hours

Unit-VI

Superconductivity  and Optical Fibers  

Temperature dependence of resistivity in  superconducting materials.   Effect of magnetic field (Meissner effect).  Type I and Type II superconductors. Temperature dependence of  critical field.  BCS theory (qualitative).    High temperature superconductors. Applications of superconductors– Superconducting magnets,  Maglev vehicles and SQUIDS.  

Propagation mechanism in optical   fibers.   Angle of acceptance.  Numerical aperture.  Types of optical fibers and modes of propagation.   Attenuation.   Applications – block diagram   discussion of point to point communication.                  

                                                                                                               7 Hours

Unit-VII

Crystal Structure                                                                                                               

Space lattice,  Bravais lattice - unit cell, primitive cell.  Lattice parameters.   Crystal systems.  Direction and planes in a crystal.  Miller indices.   Expression for inter-planar spacing.

Co-ordination number.  Atomic packing factor.  Bragg’s Law. Determination of crystal structure by Bragg’s x-ray spectrometer.  Crystal structures of  NaCl,  and diamond.

                                                                                                              6Hours

                                                                Unit-VIII

Material Science

Nano-materials – Molecular Manufacturing.  Nano-mechanical bearings. Fabrication technology.   Scaling of  classical mechanical systems – Basic assumptions.  Mechanical scaling.    Scaling of electromagnetic systems – Basic assumptions.  Corrections.  Magnitude and scaling – Steady state systems, Time dependent systems.  Carbon nano-tubes 

Ultrasonic non-destructive testing of materials.  Measurement of velocity in solids and liquids. Determination of  elastic constants in solids and liquids.

         6 Hours

Text Books

Reference Books

Note: 1)  One Question is to be set from each Unit

          2)  Students have to answer Five questions,  choosing at least Two  

               questions from each part.

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