### Physics

### Programmes Offered

- B.Sc. / B.Sc. (Hons) in Physics
- B.Sc. (Hons) in Meteorology
- B.Sc. / B.Sc. (Hons) in Nuclear Physics
- M.Sc. and M.Res. in Physics

### Curriculum

#### B.Sc. in Physics

### Course Descriptions

The module deals with Motion in a Plane: Components of Motion, Projectile Motion, Uniform Circular Motion and Centripetal Acceleration; Forces: Newton’s Law of Gravitation, a closer look at gravity, apparent weightlessness; Friction: Causes and Types, Coefficients of Friction, Air Resistance; Work, Energy and Power: Work, Energy, The Conservation of Energy, Power; and Rotational Motion and Dynamics: Description of Rotational Motion, Torque and Moment of Inertia, Rotational Wok, Power, and Kinetic Energy, Angular Momentum. It is also concerned with Sound: The Nature of Sound, Sound and Hearing, Sound Phenomena; Fluid Mechanics: Fluid Properties, Pressure and Pressure Measurement, Buoyancy and Archimedes’ Principle, Fluid flow;and Thermodynamics, Heat Engines & Pumps: The First Law of Thermodynamics and Thermodynamic Processes, The Second and Third Laws of Thermodynamics.

This module covers Light and Illumination: The Nature of Light, Interference, Diffraction, Polarization, Illumination; Basic dc Circuits: Resistances in series and parallel, Kirchhoff’s rules and multiloop circuits, Voltage Sources in series, Circuit Applications; and Solar Energy Technology: Solar Radiation, Electricity from solar energy, solar heating and cooling.

The module includes Elements of AC Circuits & Electronic Circuits: Reactance, Impedance, Resonance & Power Factor, Electrical Power, Transmission, House-hold Circuits, Electrical Safety, Personal Safety & Electrical Effects, Ground- Fault Interrupter.

This module is concerned with Electronics and Solid State Device: The Electron Tube, Solid State Devices, Printed Circuits and Integrated Circuits, Light Emitting Diodes, Xerography & Electrostatic Copiers; and Modern Physics: Intrinsic Semiconductors, Compound Semiconductors, Junction Diode, n-p-n Transistors, p-n-p Transistors, Rectifiers, Amplifier.

The module deals with Radio, TV and Computer: Radio, Woofer and Tweeter, Television, LCDs – Liquid Crystal Displays, Radio Telescopes, Computer.

The module focuses on Quantum Physics and the Dual Nature of Light: The Ultraviolet Catastrophe & Quantization, Photo Electric Effect & De Broglie Wave-Particle Duality & Bohr H-Atom Theory, Laser Experiments with (a) bullets (b) waves (c) electrons, Probability and Probability Amplitude, Electron Microscope; and Relativity: Space (x1, x2, x3),Time(ct = x0)and Matter (E/c2), Pre-Newtonian Space & Time, Lorentz, Fitzgerald and Larmor’s Concepts of Space and Time, Einstein and Minkowski’s Space-time, Twin Paradox Doppler Shift, Red Shift, Lorentz Transformation, Four Vectors.

The module includes Vector Analysis: Vector Algebra, Vector differentiation, gradient, divergence and curl, Curvilinear coordinates, Vector integration, Divergent Theorem & Stokes’ Theorem; and Ordinary Differential Equation: First order differential equations, Second order differential equations, Series solutions, Applications.

The module covers Elementary Computing Concepts: PC basic, Introduction to MathCAD / Mathematica; Essential Programming Concepts: variables, arrays, block structure, subroutines and functions, compile-link-debug cycle, Pseudo Language / C Language, excluding obscure features, Top-down approach to program design, Programming examples chosen from the physical sciences; and Numerical Technique: Finite diffuseness, Newton’s formulae, Numerical integration, Solution of algebraic and transcendental equation.

The module focuses on The Static Electric Field: Part 1, The Static Electric Field: Part 2, The Steady Electric Current, and The Static Magnetic Field of Steady Electric Currents.

This module deals with Applications of Thermodynamics, Unit Systems, First Law of Thermodynamics, Heat and Specific Heat, Specific Heats for Ideal Gases, Processes for Ideal Gases, and Quasistatic-Adiabatic Process. It is also concerned with Equation of State, Thermal Expansions, Physical Description of the Second Law, Kelvin-Planck and Clausius Statements, Reversible Processes and Cycles, Sign Convention of Heat and Work, Macroscopic Definition of Entropy, Principle of Increase of Entropy, Change in Entropy for an Ideal Gas, and Carnot Cycle. It includes Third Law of Thermodynamics, The Kinetic Theory of Gases, Molecular Model of an Ideal Gas, Molar Specific Heat of an Ideal Gas, Adiabatic Processes for an Ideal Gas, The Equipartition of Energy, The Boltzmann Distribution Law, and Distribution of Molecular Speeds/ Mean Free Path.

The module focuses on Atoms, ions and Electrons, The special theory of relativity, Properties of electromagnetic radiation, Waves and particles, The hydrogen atom, Optical spectra and electronic structure, and X-ray spectra.

The module deals with Static of bodies, Work & potential energy, Motion with air resistance, Oscillations, resonance and phenomenon vibrations, Systems of particles, linear and angular momentum, Motion of rigid body in plane, Central force motion, Gravitational Potential, Orbital motion, Black holes, and Generalized co-ordinates.

The module is about Microstates and degeneracy, distinguishable and indistinguishable particles, Thermodynamic functions of state, distribution functions, Entropy, disorder and the probability of system configuration occurring, and Information theory. It also includes Arrow of time, Equilibrium configuration, Boltzmann distribution, Temperature, Partition function, One-dimensional harmonic oscillator, Planck distribution, Black body radiation, Fermi-Dirac and Bose- Einstein distributions.

This module covers Pre Newtonian Physics, Newtonian Gravity, Newtonian Space-time, Michelson & Morley Experiment, Motion in Mechanics, Einstein’s Space-time, and Four vectors in Special Relativity.

The module is about Lorentz Transformations, Phase velocity, wave velocity, group velocity, Relativistic kinetic energy, Length, Mass and Time in Special Relativity, and Addition of velocities. It also includes Energy moment-four vectors, The twin paradox, Introduction to curved space-time, and Gravitation as curved space-time phenomenon.

The module is concerned with Sinusoidal steady state response of circuits, and Thevenin and Norton theorems.

The module focuses on Diode applications, Special-Purpose Diodes, Bipolar Junction Transistors (BJTs), Transistors Bias Circuits, and BJT Amplifiers.

The module covers Nuclear properties, Nuclear models, Nuclear forces, Nuclear energy, Nuclear reactions, Particle accelerators, and Nuclear radiation detectors.

This module includes Nuclear disintegration, Decay processes, Elementary particles and quarks, Introduction to radiation protection, Health Physics, and Radiological Physics.

The module focuses on Mechanics of a system of particles and constraints, and The generalized coordinates.It also deals with D’Alembert’s principle and Lagrange’s equation, Euler Lagrange eqn, Hamilton’s principle, Hamilton’s principle for a conservative system, Principle of least action, Hamilton’s equations, Ignorable coordinates, Characteristic Functions and Hamilton-Jacobi Eqn, Special transformations, Lagrange Brackets, and Poison’s brackets.

The module is concerned with Developments in Quantum Theory, Blackbody Radiations, Rayleigh-Jean’s Law, Photoelectric & Compton Effect, X-ray, Neutron, Electron Diffraction, Wave Packets & De Broglie’s Waves, Probability Amplitudes, Probability in Classical & Quantum Physics, Uncertainty Principle, Wave Function, Operators, and Time dependent and time independent Schroedinger’s equations.

The module covers The static magnetic field of ferromagnetic materials: Magnetic dipoles and magnetization, Uniformly magnetized rod and equivalent air filled solenoid, The magnetic vectors B,H and M, Boundary relations, Tables of boundary relations for magnetic fields, Ferromagnetism, Magnetization curves, and Hysteresis; Laplace’s and Poisson’s equations and boundary value problems: Solutions of Laplace’s equations in rectangular coordinates, The parallel plate capacitors, Point by Point or interactive method, Solutions of Laplace’s equations in cylindrical and spherical coordinates, Poisson’s equation, and Time-changing Electric and Magnetic Fields; The relation between field and circuit theory: Maxwell’s Equations.

This module covers Plane waves in dielectric and conducting media: Plane waves and the wave equations, Solutions of the wave equations, Tables of solutions of wave equations, Phase velocity, Index of refraction, Group velocity, Impedance of dielectric media, The impedance of transmission line cell, Two plane waves traveling in opposite directions, Standing waves, Energy relation in a traveling waves, The Poynting vector, Energy relations in a standing wave, Conductors and dielectrics, Wave equations for conducting media, and Depth of penetration. It also includes Relaxation time, Impedance of conducting media, The Poynting vector in a conducting media, Circuit application of the Poynting vector, and General development of the wave equation problems.

The module is concerned with Partial Differentiation, Multiple Integral, Matrices, and Partial Differential Equation

The module is about Complex Numbers, Functions of a complex variable, Gamma and Beta functions, Bessel function, and Differentiation under the integral sign.

The module deals with Field–Effect Transistors: FET Amplifiers, Power Amplifiers, and Amplifier Frequency Response, Operational Amplifiers: Introduction to Operational Amplifier, and Op-Amp Input Modes and Parameters.

The module covers Number Systems, Operations and codes, Logic Gates, Boolean Algebra and Logic Simplification, and Combinational Logic.

The module focuses on Neutron Physics: The production of neutrons, The detection of neutrons, The interaction of neutrons with matter in bulk; slowing down, Thermal neutrons, The diffusion of thermal neutrons, Cross-sections for neutron-induced reactions; measurement of the total cross section, Scattering, absorption and activation cross section, Nuclear Radiations and particle detectors, Research Methodology and Techniques.

This module deals with Nuclear Fission: The discovery of nuclear fission, Fission cross sections and thresholds, The fission products , The mass and energy distributions and the fission products, Neutron emission in fission, The energy distribution of the neutrons emitted in fission, The energy release in fission, and The theory of the fission process. It is also concerned with Nuclear Energy Sources: Nuclear Fission as a source of energy, The chain-reacting system or nuclear reactor, Thermal nuclear reactors, The neutron cycle, The calculation of the multiplication factor for a homogeneous thermal reactor, and Neutron Generator.

The module deals with Wave mechanics: Wave packets, Fourier series and integrals, Gaussian wave – packet, Quantization of (i) translationary (ii) orbital(iii) vibrationary motion, WKB Approximation, Perturbation methods, Scattering, and Variational methods in Wave mechanics.

The module is concerned with Crystal Structure: Crystal Lattice and Translation Vectors, Unit Cell, Basis, Symmetry Operations, Point Groups and Space Groups, Types of Lattices, Lattice Direction and Planes, Interplanar Spacing, Simple Crystal Structure of Diamond, Zinc Blende (ZnS) Structure, and Sodium Chloride (NaCl) Structure.

It also deals with X-Ray Diffraction and Reciprocal Lattice: X-ray Diffraction, X-ray Diffraction Method, Reciprocal Lattice, Property of Reciprocal Lattice, Bragg’s Law and Reciprocal Lattice, Atomic Scattering Factor, Geometrical Structure Factor, Bonding in Solids,and Research Methodology and Techniques.

The module includes Lattice Vibrations: Vibration of One-dimensional Monoatomic Lattice, Vibration of One-dimensional Diatomic Lattice, Phonons, Momentum of Phonon, Inelastic Scattering of Photon by Phonon, Specific Heat, Classical Theory of Lattice Heat Capacity, and Debye’s Model of Lattice Heat Capacity.It also covers Free Electron Theory of Metals: Drude-Lorentz’s Classical Theory, Sommerfeld’s Quantum Theory, and Application of Free Electron Gas Model.

The module deals with Differential Geometry: Curves and Surfaces, Kinematics and Dynamics of Particles, Kinematics and Dynamics of Rigid Body.

The module is concerned with Hydrodynamic: Equation of Continuity, Euler’s eqn of Motion for a perfect fluid, Bernouilli’s Theorem, and Steady irrotational motion.

This module enables students to be familiar with Thyristors and other Devices, Operational Amplifiers, Basic Op-amp Applications, Oscillators, and Voltage Regulators.

This module focuses on Functions of Combinational Logic, Flip-Flop and Related Devices, and Counters.

The module covers Introduction to Spectroscopy, and Electronics.

The module includes Nuclear Forces and Two Body Problem.

This module is concerned with The two-body central force problems: Reduction to the equivalent one-body problem, The equation of motion and first integrals, The virial theorem, and The differential equation for the orbit and integrable power-low potential; The Kepler problem: Inverse square law of force, Scattering in a central force field, The Eulerian angles, Infinitesimal rotations, The Coriolis force, and Separation of variables in the Hamilton-Jacobi equation.

The module deals with Operator formulism, Dirac vector model for angular momentum, Matrix mechanics, Ladder and Shift operators, Angular momentum and spin, Scattering and cross section, Scattering amplitude, Born and Yukawa approximation, Elastic and Inelastic scattering, and Scattering of identical particles.

The module covers Band Theory of Solids: The Bloch Theorem, The Kronig-Penney Model, Velocity and Effective Mass of Electron , Distinction between Metals, and Insulators and Semiconductors; Semiconductors : Pure or Intrinsic Semiconductors, Impurity or Extrinsic Semiconductors, Drift Velocity, Mobility and Conductivity of Intrinsic Semiconductors, Carrier Concentration and Fermi Level for Intrinsic Semiconductor, Carrier Concentration, Fermi Level and Conductivity for Extrinsic semiconductor, and Superconductivity.

The module deals with Properties of materials: Electrical properties of materials, Thermal properties of materials, and Optical properties of materials; Solar cell: The solar resources, Photovoltaic, Generating of solar power, and Designing solar cell; Nanotechnology: Introduction to Nanotechnology, The Science of Nanotechnology, and The Nanotechnology Tool Box.

This module is concerned with Wave Polarization , Wave Reflection and Diffraction –Plane Wave, Normal Incidence, The Terminated Wave, Linearly Polarized Plane Wave, Oblique Incidence, Elliptically Polarized Plane Wave, Oblique incidence, Huygens’ Principle and Physical Optics, Geometrical-Optics Concepts, Scattering from a Conducting Strip, and Geometrical Theory of Diffraction.

The module deals with Transmission Lines, Wave Guides and Resonators-Coaxial, Two-wire and Infinite-Plane Transmission Lines, The Infinite Uniform Transmission Line, Comparison of Circuit and Field Quantities, Characteristic-Impedance Determinations, The Terminated Uniform Transmission line, Transmission, Transmission line charts, Transformer Bandwidth, and Wave Reflections on a /4 Transformer. It is also concerned with Power Flow on a Transmission line, Circuit, Lines and Guide; TE mode Wave in the Infinite Parallel Plane Transmission line, The Hollow Rectangular Waveguide, The Hollow Circular Cylindrical Waveguide, Hollow Waveguides of other Cross Section, Attenuation at Frequencies at less/greater than cutoff, Waveguide Devices, waveguides Iris Theory, Intrinsic, Characteristic and wave Impedances. It includes Wave Traveling to a plane Boundary, Open Waveguides, and Cavity Resonators.

The module deals with Tensor analysis: Laplace Transform: Definition of the Laplace Transform, Existence of Laplace transforms, Laplace transforms of some elementary functions, Shifting (or translation) Theorems, The first shifting theorem, The second shifting theorem, Laplace transform of a periodic function, Laplace transforms of derivatives, and Laplace transforms of functions defined by integrals.

The module includes Fourier series: Euler-Fourier formulas, Convergence of Fourier series and Dirichlet conditions, Half-range Fourier series, Alternative forms of Fourier series, Integration and differentiation of a Fourier series , and Fourier transforms for functions of several variables; Integral transform: A note on integral transformations, and Power series.

The module deals with The Stern-Garlach Experiment, Kets, Bras and operators, Base Kats and matrix Representations, measurements, observables and the Uncertainty Relations, Change of basis, position, Momentum and translation, Wave functions in Position and momentum Space Problems, and Special Topics.

The module is concerned with Dielectric and Ferroelectrics, Macroscopic Electric Field, local Electric field at an Atom, Dielectric constant and Polarizability, Structural phase transitions, Ferroelectric Crystals, Displacive Transitions, Special Topics, and Problems.

The module covers Introduction to Radiation Measurements, Statistical Errors of Radiation Counting, Review of Atomic and Nuclear physics, Energy Loss and Penetration of Radiation through Material, Gas-Filled Detectors, Scintilation Detectors, and Semiconductor Detectors. It also includes Relative and Absolute Measurements, Energy from Nuclear Fission, Nuclear Reactions and Radiations, Neutron Transport Behavior, Nuclear Design basics, Nuclear Reactor kinetics and Control, Radiation Protection and shielding, Reactor Materials, Applications, and Special Topics.

The module deals with Microelectronics: Introduction to Embedded system in Microelectronics Types of Microprocessors and microcontrollers, Functional Description, Hardware Requirement, Software Requirement, and Firmware Programming. It includes Digital Input and Digital Output, Function Description of Input/Output Port, Developing Hardware Interface, Software Development, and Programming for Input/Output Port Accessing. It is also concerned with Solid State Electronics: Semiconductor materials and Their Properties, Semiconducting Materials, Elemental and Compound Semiconductors, The valence Bond Model of the Semiconductor, The Energy Band Model, Equilibrium Concentrations of Electrons and holds Inside the Energy bands, The Fermi Level and Energy Distribution of Carriers Inside the bands, The Temperature Dependence of Carrier Concentrations in an Extrinsic Semiconductor, Heavily Doped Semiconductors, and Special Topics.

The module covers Time evolution and Schroedinger Equation, The Schroedinger vs Heisenberg Picture, Simple Harmonics Oscillator, Schroedinger Wave Equation, Propagators and Feynman Path Integrals, and Potentials and Gauge Transformations. It also includes Rotations and Angular Momentum Commutation Relations, Spin ½ Systems and Finite Rotations, SU(3), SU(2), and Euler Rotations, Density Operators and Pure Versus Mixed Ensembles, Special topics, and Problems.

This module focuses on Diamagnetism and Paramagnetism, Langevin diamagnetism equation, Quantum theory of diamagnetism of mononuclear systems, paramagnetism, Quantum theory of paramagnetism, Cooling by isentropic demagnetization, paramagnetic susceptibility of conduction electrons, Ferromagnetism and Antiferromagnetism, Ferromagnetic order, Magnons, neutron magnetic scattering, ferromagnetic order, antiferromagnetic order, ferromagnetic order, ferromagnetic domains, single domain particles, and magnetic bubble domains. It also includes Special Topics, and Problems.

The modules covers Introduction to Spectroscopy, Electronics, Data Analysis Methods, Photon (Gamma-Ray and X-Ray) Spectroscopy, Charged-Particle Spectroscopy, Neutron Detection and Spectroscopy, Activation Analysis, Fission Process, (Neutron: Absorption and Scattering, Maxwell-Boltzmann Distribution Cross-section, Variation of Cross-section with Neutron Energy Resonance Absorption), The Breit-Wigner Formula, The Doppler Effect, and Scattering Cross-section. It also includes Fission Process: Fission Cross section, Fission Rate and Reactor Power, Fission Neutron, Prompt Neutron, Delay Neutron, Fission Gamma, Fission Product Activity after Shut Down, Heat Generation after Shut Down, Neutron Diffraction, Neutron Interactions with Magnetic Fields, Nuclear Models, Fission Reactors, Nuclear Power Plant, Reactor Licensing, Applications; and Special Topics.

The module covers Microelectronics: Signal Transmission, Digital-to-Analog conversion (DAC), R-2R Ladder Network, Summing Amplifier, Developing Hardware Interface, Software Development, Programming for Constructing Mathematical Functions, Programming for Generating Mathematical Functions, Signal Receiving, Analog-to Digital Conversion (ADC), Successive Approximation Logic (SAL), Developing Hardware Interface, Software Development, and Programming for Implementing SAL.It also includes Solid State Electronics:Carrier Transport in Semiconductors, the Drift of Carriers in an Electric Field, Variation of Mobility with Temperature and Doping Level, Conductivity, Impurity Band Conduction, The Hall Effect, Nonlinear conductivity, Carrier Flow by Diffusion, Einstein Relations Constancyof the Fermi level across a Junction Excess Carriers in Semiconductors Injection of Excess Carriers, Recombination of Excess Carriers, Mechanisms of Recombination processes, Origin of recombination Centers, Excess Carriers and Quasi-Fermi Levels, Basic equations for Semiconductors Device Operations , Solution of Carrier Transport Equations-an Illustration, and Special Topics.

The module deals with Eigen values and Eigen states of Angular Momentum, Orbital Angular Momentum, Addition of Angular Momenta, and Schwinger’s Oscillator Model of Angular Momentum. It is also concerned with Symmetries, Conservation Laws and Degeneracy, Discrete Symmetries, Parity or Space Inversion, Lattice Translation as a Discrete Symmetry, The Time-Reversal Discrete Symmetry, Special topics, and Problems.

The module includes Magnetic Resonance, Nuclear magnetic resonance, line width, hyperfine splitting, nuclear quadrupleresonance, ferromagnetic resonance, antiferromagnetic resonance, electron paramagnetic resonance, principle of maser action, Special topics, and Problems.

The module deals with Radiation Protection and Shielding, Photon Flux and Radiation Dose, Radiation Dose from External and Internal Sources, Biological Effects of Radiation, Stochastic and Non-stochastic Effect, Radiation Monitoring, Contamination Monitoring, Direct Surface Contamination Monitoring, Air Monitoring, and Biological Monitoring.It is also concerned with Management of Radiation Accidents, Loss of Shielding from a Sealed Source, Loss of Stolen Radioactive Sealed Source, External and Internal Contamination of a Person, Shielding, Slowing down Fast Neutron, and Special Topics.

The module covers Microcontroller based Single processing: Controlling LEDs with Parallel Port, functional description of Parallel Output Port, Developing Hardware Interface, Software development, binary to Decimal Code Conversion, programming for Output Port Accessing Digital Input to the Parallel Port, functional Description of Parallel Input Port, Developing Hardware Interface, Software Development, Programming for Input Port AccessingPC as a Sinusoidal Signal Generator; (Programming for Constructing Mathematical Functions, Programming for Generating Mathematical Functions), PC as a Signal Receiver; Analog-to-Digital Conversion (ADC), Successive Approximation Logic (SAL), Developing Hardware Interface, Software Development, and Programming for Implementing SAL. It also includes Solid State Electronics: Electrical Breakdown in p-n Junctions Phenomenological Description of Breakdown Mechanisms, Theoretical Treatment of Internal Field Emission, Zener Breakdown in p-n Junctions, Secondary Multiplication in Semiconductors, Avalanche Breakdown in p-n Junctions, Effect of Junction Curvature and Crystal Imperfections on the Breakdown Voltage, Distinction Between the Zener and Avalanche Breakdown, and Applications of Breakdown Diodes. It focuses on Dynamic Behaviour of p-n Junction Diodes Small-Signal ac Impedance of a Junction Diode, The Charge Control Equation of a Junction Diode, Switching Transients in Junction Diodes, High-Speed Switching Diodes, Majority Carrier Diodes The Tunnel Diode, The Backward Diode, The Schottky Barrier Diode, Ohmic Contacts, Heterojunctions, and Special Topics.

- B.Sc. / B.Sc. (Hons) in Physics
- B.Sc. (Hons) in Meteorology
- B.Sc. / B.Sc. (Hons) in Nuclear Physics
- M.Sc. and M.Res. in Physics