SYLLABUS

PART A

MODERN PHYSICS: Introduction to blackbody radiation spectrum, Planck’s radiation law, Photoelectric effect, Compton effect, Wave particle dualism, De-Broglie’s hypothesis, De-Broglie wavelength associated with the accelerated electron, Davisson-Germer experiment, Characteristic properties of matter waves, Phase velocity, Group velocity, Relation between group velocity and phase velocity, Relation between group velocity and particle velocity, Relation between velocity of light, group velocity and phase velocity, Expression for de-Broglie wavelength using group velocity
QUANTUM MECHANICS: Heisenberg’s uncertainty principle, Physical significance of Heisenberg’s uncertainty principle, Application of uncertainty principle-Non-existence of electron in the nucleus, Wavefunction, Properties of Wavefunction, Physical significance of wavefunction – Probability density and normalization of wavefunction, Setting up of a one dimensional, time independent Schrödinger wave equation, Eigen values and Eigen functions, Applications of Schrödinger wave equation, Energy eigen values for a free particle, Energy eigen value of a particle inside a potential well of infinite height.

PART B

CRYSTAL STRUCTURE: Space lattice, Basis, Bravais lattice, Unit cell, Primitive cell, Crystal systems, Direction and planes in a crystal, Lattice planes and Miller indices, Determination of Miller indices, Expression for interplanar spacing, coordination number, Atomic packing factor, Crystal structures of NaCl and Diamond, Bragg’s law, Braggis X-ray spectrometer.
MATERIAL SCIENCE: Nanomaterials, Nanomechanical bearings, Fabrication technology, molecular manufacturing, Carbon nanotubes, Scaling laws, Mechanical scaling – scaling of classical mechanical systems, Basic assumptions, Examples, Scaling of electromagnetic systems, Basic assumptions, Important corrections, Magnitudes and scaling - steady state systems, Magnitudes and scaling -Time dependent systems, Ultrasonics-Non-destructive testing of materials, Determination of velocity of ultrasonics in solids and liquids, Determination of elastic constants in solids and liquids.