Model Syllabus Physics - Sambalpur University

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STATE MODEL SYLLABUS FORUNDER GRADUATE COURSE INPHYSICS(Bachelor of Science Examination)UNDERCHOICE BASED CREDIT SYSTEM

Course structure of UG Physics HonorsSEMESTERCOURSE OPTEDCOURSE NAMECreditsIAbility Enhancement CompulsoryAECC-144 PapersCourse-ICore course-IMathematical Physics-I4Core Course-I Practical/TutorialMathematical Physics-I Lab2Core course-IIMechanics4Core Course-II Practical/TutorialMechanics Lab2Generic Elective -1GE-14/5(400 Marks)Generic Elective -1IIAbility Enhancement Compulsory4 PapersCourse-II(400 Marks)Practical/Tutorial2/1AECC-II4Core course-IIIElectricity and Magnetism4Core Course-III Practical/TutorialElectricity and Magnetism Lab2Core course-IVWaves and Optics4Core Course-IV Practical/TutorialWaves and Optics Lab2Generic Elective -2GE-24/5Generic Elective -2Practical/Tutorial2/1IIICore course-VMathematical Physics-II45 PapersCore Course-V Practical/TutorialMathematical Physics-II Lab2Core course-VIThermal Physics4Core Course-VI Practical/TutorialThermal Physics Lab2Core course-VIIAnalog Systems and Applications4Core Course-VII Practical/TutorialAnalog Systems & Applications2(500 Marks)LabSkill Enhancement CompulsoryCourse -1SECC-14Generic Elective -3GE-34/5Generic Elective -3Practical/Tutorial2/1

IVCore course-VIIIMathematical Physics III45 PapersCore Course-VII Practical/TutorialMathematical Physics-III Lab2Core course-IXElements of Modern Physics4Core Course-IX Practical/TutorialElements of Modern Physics Lab2Core course-XDigital Systems and Applications4Core Course-XPractical/TutorialDigital Systems & Applications2(500 Marks)LabSkill Enhancement Compulsory Course -2SECC -24Generic Elective -4GE-44/5Generic Elective -4VCore course-XI4 Papers(400 Marks)VI4 Papers(400 Marks)Practical/TutorialQuantum Mechanics &2/14ApplicationsCore Course-XI Practical/TutorialQuantum Mechanics Lab2Core course-XIISolid State Physics4Core Course-XII Practical/TutorialSolid State Physics Lab2Discipline Specific Elective -1DSE-14/5Discipline Specific Elective -1Practical/Tutorial2/1Discipline Specific Elective -2DSE-24/5Discipline Specific Elective- 2Practical/Tutorial2/1Core course-XIIIElectro-magnetic Theory4Core Course-XIII Practical/TutorialElectro-magnetic Theory Lab2Core course-XIVStatistical Mechanics4Core Course-XIV Practical/TutorialStatistical Mechanics Lab2Discipline Specific Elective4DSE-44/5Discipline Specific Elective -4Practical/Tutorial2/1Or(Eligible Students may do a Project in DSE-IV)6Discipline Specific Elective-4Total Credits148

Generic Elective Papers (GE) (Minor-Physics) for other Departments/Disciplines: (Credit: 06each)Depending on their requirements, Universities may choose 2 (two )GE subjects with 2 papers fromeach subject or only one GE subject with 4 papers from it.Two papers GE subject will be :1.GE-I (Mechanics & Properties of matter, Oscillation & Waves, ThermalPhysics, Electricity and Magnetism & Electronics) Lab2.GE-II (Optics, Special Theory of Relativity, Atomic Physics, QuantumMechanics and Nuclear Physics) LabA student who chooses to read only Physics subject GE will take 4 DSC papers ofthe Pass Course as below1.GE-I as DSC-1(Mechanics ) Lab2.GE-II as DSC-2,( Electricity, Magnetism & Emt) ) Lab3. GE-III as DSC-3,(Thermal Physics & Statiscal Mechanics) ) Lab4. GE-IV as DSC-4 (Waves And Optics) ) Lab(GE-I same paper as DSC-1,GE-II same as DSC-2 ,GE-III same as DSC-3,GE-IVsame as DSC-4)

PHYSICSHONOURS PAPERS:Core course – 14 papersDiscipline Specific Elective – 4 papers (out of the 5 papers suggested)Generic Elective for Non Physics students – 4 papers. Incase University offers 2 subjects as GE,then papers 1 and 2 will be the GE paper.Marks per paper –For practical paper: Midterm : 15 marks, End term : 60 marks, Practical- 25 marksFor non practical paper: Midterm : 20 marks, End term : 80 marksTotal – 100 marks Credit per paper – 6Teaching hours per paper –Practical paper-40 hours theory classes 20 hours Practical classesNon Practical paper-50 hours theory classes 10 hours tutorialCORE PAPER-1MATHEMATICAL PHYSICS-IThe emphasis of course is on applications in solving problems of interest tophysicists. The students are to be examined entirely on the basis of problems, seenandunseen.UNIT-ICalculus -I: Plotting of functions, Intuitive ideas of continuous,differentiablefunctions and plotting of curves, Approximation: Taylor and binomial series(statements only), First Order Differential Equations and Integrating Factor, SecondOrder Differential equations: Homogeneous Equations with constant larIntegral.existenceand

UNIT-IICalculus-II: Calculus of functions of more than one variable: Partial derivatives,exact and inexact differentials. Integrating factor, with simple illustration,Constrained Maximization using Lagrange Multipliers,Vector algebra: Recapitulation of vectors: Properties of vectors under rotations.Scalar product and its invariance under rotations, Vector product, areaandvolumerespectively,Scalarand Vectorfields.UNIT-IIIOrthogonal Curvilinear ation of Gradient, Divergence, Curl and Laplacian in Cartesian, Spherical tesystemDirac Delta function and its properties: Definition of Dirac delta function.Representation as limit of a Gaussian function and rectangular Function,Properties of Dirac delta lofavector field, Del and Laplacian operators, VectoridentitiesVector Integration: Ordinary Integrals of Vectors, Multiple integrals, Jacobian,Notion of infinitesimal line, surface and volume elements, Line, surface and volumeintegrals of Vector fields, Flux of a vector field, Gauss’ divergence theorem, Green’sand Stokes Theorems and their applications (no rigorous proofs)TextBooks: 1. ber,F.E.Harris(2013,7th Edn.,Elsevier) 2. AdvancedEngineering Mathematics, Erwin Kreyszig (Wiley India)Reference books: 1. MathematicalPhysics C. Harper (Prentice Hall India)

2. ComplexVariable: Schaum’s Outlines Series M. Spiegel (2nd Edition , Mc-Graw Hill Education) variables and applications, J. W. Brown and R.V.Churchill3. Complex Mathematical Physics, Satya Prakash (SultanChand) Physics, B. D. Gupta (4th edition, Vikas Publication)4. Mathematical Mathematical Physics and Special Relativity, M. Das, P.K. Jena andB.K.Dash (Srikrishna Prakashan)5. Mathematical Physics–H.K.Dass, Dr. Rama Verma (S. ChandPublishing)CORE PAPER I LAB:The aim of this Lab is not just to teach computer programming and numericalanalysis but to emphasize its role in solving problems in Physics. Highlights the use of computational methods to solve physicalproblems cal)intheLab Evaluation donenot on the programming but on the basis of formulatingtheproblem Aim at teachingstudents to construct the computational problem to be solved tWindowsIntroduction and Overview: Computer architecture and organization, memoryand Input/output devices.Basics of scientific computing: Binary and decimal arithmetic, andRepetition,singleanddoubleprecision arithmetic, underflow and overflow emphasize the importance terativemethods. AlgorithmErrors and error Analysis: Truncation and round off errors, Absolute andrelative errors, Floating point computations. Systematic and Random Errors,Propagation of Errors, Normal Law of Errors, Standard and Probable Error.Review of C and C Programming: Introduction to Programming, constants,

variables and Fundamentals data types, operators and Expressions, I/Ostatements, scanf and printf, c in and c out, Manipulators for data format- ture,ElseIfStatement,Ternaryoperator,Goto Statement. Switch Statement. Unconditional and Conditional Looping.While Loop. Do-While Loop. FOR Loop. Break and Continue Statements. NestedLoops), Arrays (1D and 2D) and strings, user defined functions,Structures andUnions, Idea of classes andobjectsPrograms: Sum and average of a list of numbers, largest of a given list of numbersand its location in the list, sorting of numbers in ascending descending order, BinarysearchRandom number generation: Area of circle, area of square, volume of sphere,value ofπ.Reference Books: to Numerical Analysis, S.S. Sastry, 5th Edn., 2012, PHI1. IntroductionLearning Pvt. Ltd. 2. Schaum’sOutlineofProgrammingwithC .J.Hubbard,2000,McGraw–HillPub. 3. H.Pressetal,3rdEdn. 2007, Cambridge UniversityPress. 4. A first coursein Numerical Methods, U.M. Ascher and C. Greif, 2012, PHILearning. 5. ElementaryNumerical Analysis, K.E. Atkinson, 3rd Edn. , 2007 , WileyIndia Edition. Methods for Scientists and Engineers, R.W. Hamming, 1973,6. NumericalCourier DoverPub. 7. .,2006,Cam- bridgeUniv.Press.

CORE PAPER-IIMECHANICSUNIT-IRotational Dynamics: Centre of Mass, Motion of CoM, Centre of Mass andLaboratory frames, Angular momentum of a particle and system of particles,Principle of conservation of angular momentum, Rotation about a fixed axis,Moment of Inertia, Perpendicular and Parallel Axis Theorems, Routh Rule,Calculation of moment of inertia for cylindrical and spherical bodies, Kineticenergy of rotation, Eulers Equations of Rigid Body motion, Motion involvingboth translation and rotation. Moment of Inertia of a Flywheel.Non-Inertial Systems: Non-inertial frames and fictitious forces, Uniformly rotatingframe, Laws of Physics in rotating coordinate systems, Centrifugal force, Coriolisforce and itsapplications.UNIT-II Elasticity: Relation between Elastic constants, Twisting torque on a Cylinderor Wire, Bending of beams, External bending moment, Flexural rigidity, Single anddouble cantileverFluid Motion: Kinematics of Moving Fluids: Poiseuilles Equation for Flow of aLiquid through a Capillary Tube, Surface tension, Gravity waves andrippleViscocity: Poiseuilles Equation for Flow of a Liquid with corrections.UNIT-IIIGravitation and Central Force Motion: Law of gravitation, Gravitationalpotential energy, Inertial and gravitational mass, Potential and field due to spherical shelland solid sphere, Motion of a particle under a central force field, Two-body problem and itsreduction to one-body problem and its solution, Differential Equation of motion with centralforce and its solution, The first Integrals (two), Concept of power Law Potentials, KeplersLaws of Planetary motion, Satellites:. Geosynchronous orbits, Weightlessness, Basic idea ofglobal positioning system (GPS), Physiological effects on astronauts.

UNIT-IVOscillations: Simple Harmonic Oscillations. Kinetic energy, potential energy, total energyand their time-average values. Damped oscillation. Equation of motion and solution(,casesof oscillatory, critically damped and overdamped) Forced oscillations: Transient and steadystates; Resonance, sharpness ndulum,KatersPendulumSpecial Theory of Relativity: Michelson-Morley Experiment and its out- tzcontraction,Timedilation,Relativistic transformation of velocity, Frequency and wave number, Relativisticaddition of velocities, Variation of mass with velocity, Massless reffect,RelativisticKinematics,Transformation of Energy andMomentum.Text Books: 1. Mechanics,D.S. Mathur (S. Chand Publishing ) 2. Introduction to Special Relativity, R. Resnick (John Wiley)Reference Books: 1. Introductionto Mechanics Daniel Klapnner and Robert Kolenkow, McgrawHill. 2. Mechanicsby K.R Simon 3. Mechanics,Berkeley Physics, vol.1, C.Kittel, W. Knight, etal (Tata McGraw-Hill)4. Physics, Resnick, Halliday and Walker (8/e.2008,Wiley)5. Theoretical Mechanics-M.R. Spiegel (Tata McGrawHill).6. Feynman Lectures, Vol. I, R.P.Feynman, R.B.Leighton, M.Sands (Pearson)7. Mechanics-M.Das, P.K.Jena and R.N. Mishra (SrikrishnaPublications)

CORE PAPER-1I LAB(minimum 5 experiments are to be done):1. To study surface tension by capillary rise method 2. To determine the height of a building using a Sextant. 3. To studythe Motion of Spring and calculate (a) Spring constant, (b) g and(c) Modulus of rigidity. 4. To determinethe Moment of Inertia of a Flywheel. 5. To determineCoefficient of Viscosity of water by Capillary Flow Method(Poiseuilles method).6. To determine the Modulus of Rigidity of a Wire by Maxwellsneedle.7. To determine the value of g using BarPendulum.8. To determine the value of g using KatersPendulumReference Books: Practical Physics for students, B. L. Flint and H.T. Worsnop, 1971,1. AdvancedAsiaPublishing House level Physics Practicals, Michael Nelson and Jon M. Ogborn,2. Advanced4th Edition, reprinted 1985, Heinemann Educational Publishers 3. A Text Bookof Practical Physics, I.Prakash and Ramakrishna, 11thEdn,2011, Kitab MahalCORE PAPER-IIIELECTRICITY AND MAGNETISMUNIT-IElectric Field and Electric PotentialElectric field: Electric field lines, Electric flux, Gauss Law with applications lanarsymmetry,Conservative nature of Electrostatic Field. Electrostatic Potential, Potential andElectric Field of a dipole, Force and Torque on a dipole, Potential onequations,TheUniquenessTheorem,

Method of Images and its application to (1) Plane Infinite Sheet and (2) T-IIMagnetic Field: Magnetic Force, Lorentz Force, Biot Savarts Law, Cur- rentLoop as a Magnetic Dipole and its Dipole Moment (analogy withElectric Dipole),Amperes Circuital Law and its application to (1) Solenoid (2)Toroid(3) Helmhotz coil, Properties of B:curl and divergence, Vector Potential, BallisticGalvanometer: Torque on a current Loop, Current and Charge Sensitivity,Electromagnetic damping, Logarithmic damping, CDR.UNIT-IIIDielectric Properties of Matter: Electric Field in matter, lacementvectorD,Relations between E, P and D, Gauss Law in dielectrics. Magnetic Properties H),MagneticSusceptibility and permeability, Relation between B, H, M, Ferromagnetism, B-Hcurve andhysteresis.Electromagnetic Induction: Faradays Law, Lenzs Law, Self Inductance andMutual Inductance, Reciprocity Theorem, Energy stored in a Magnetic Field,Introduction to MaxwellsEquationsUNIT-IVElectrical Circuits: AC Circuits: Kirchhoffs laws for AC circuits, Complex Reactance andImpedance, Series LCR Circuit: (1) Resonance (2) Power Dissipation (3) Quality Factor, (4)Band Width, Parallel LCR Circuit.Network theorems: Ideal Constant-voltage and Constant-current Sources,

Network Theorems: Thevenin theorem, Norton theorem, Superposition theorem,Reciprocity theorem, Maximum Power Transfer theorem, Applications to DCcircuits. Transient Currents Growth and decay of current in RC and LR circuits.Text Books: to Electrodynamics – D.J. Griffiths (Pearson, 4th edition,1. Introduction2015) 2. Foundationsof Electromagnetic Theory-Ritz and Milford (Pearson)Reference Books: 1. ClassicalElectrodynamics, J. D. Jackson (Wiley). 2. Electricityand Magnetism D. C. Tayal (Himalaya Publishing house) 3. Electricity, Magnetism and Electromagnetic Theory- S. Mahajan andChoudhury ( Tata McGraw Hill) 4. FeynmanLectures Vol.2, R. P. Feynman, R. B. Leighton, M. Sands (Pear- son) 5. Electricityand Magnetism, J. H. Fewkes and J. Yarwood. Vol. I(Oxford Univ. Press)CORE PAPER-II1LAB (minimum of 6 experiments are to be done) for measuring (a) Resistances, (b) AC and DC Voltages, c)DCUse a Multimeter Current, (d) Capacitances, and (e) Checking electricalfuses.1. To study the characteristics of a series RCCircuit. determine an unknown Low Resistance using Potentiometer.2. To3. To determine an unknown Low Resistance using Carey Fosters Bridge. To compare capacitances using DeSautysbridge. 4. Measurementof field strength B and its variation in a solenoid(determine dB/dx) verify the Thevenin and Norton theorems.5. To

determine self inductance of a coil by Andersons bridge.6. To7. To study response curve of a Series LCR circuit and determine its (a) Resonant frequency, (b) Impedance at resonance, (c) Quality factor Q, and (d)Band width. study the response curve of a parallel LCR circuit and determine its (a)8. ToAntiresonance frequency and (b) Quality factor Q.Reference Books: 1. AdvancedPractical Physics for students, B.L. Flint and H.T. Worsnop,1971, Asia Publishing House2. A Text Book of Practical Physics, I.Prakash and Ramakrishna, 11thEd., 2011, Kitab Mahal 3. Advancedlevel Physics Practicals, Michael Nelson and Jon M. Ogborn,4th Edition, reprinted 1985, Heinemann Educational Publishers4. A Laboratory Manual of Physics for undergraduate classes,D.P.Khandelwal, 1985, Vani Pub.CORE PAPER-1V: WAVES AND OPTICSUNlT - IGeometrical optics : Fermats principle, reflection and refraction at plane interface,Matrix formulation of geometrical Optics, Cardinal points and Cardinal planes of anoptical system, Idea of dispersion, Application to thick Lens and thin Lens, Ramsdenand Huygens eyepiece. Wave Optics : Electromagnetic nature of light. Definition andproperties of wave front Huygens Principle. Temporal and SpatialCoherence.UNlT - IIWave Motion : Plane and Spherical Waves, Longitudinal and Transverse Waves,Plane Progressive (Traveling) Waves, Wave Equation, Particle and Wave Velocities,Differential Equation, Pressure of a Longitudinal Wave, Energy Trans- port, Intensityof Wave. Superposition of two perpendicular Harmonic Oscillations : Graphical and

eiruses,SuperpositionofNharmonicwaves.UNlT- IIIInterference : Division of amplitude and wave front, Youngs double slit experiment,Lloyds Mirror and Fresnels Bi-prism, Phase change on reflection: Stokes treatment,Interference in Thin Films: parallel and wedge-shaped films, Fringes of equalinclination (Haidinger Fringes), Fringes of equal thickness (Fizeau Fringes), NewtonsRings: Measurement of wavelength and refractive index. Interferometer : MichelsonsInterferometer-(1) Idea of form of fringes (No theory required), (2) Determination ofWavelength, (3) Wavelength Difference, (4) Refractive Index, and (5) VisibilityofFringes, Fabry-Perot interferometer.UNlT - IVFraunhofer diffraction: Single slit, Circular aperture, Resolving Power ofatelescope, Double slit, Multiple slits, Diffraction grating, Resolving power of grating.Fresnel Diffraction: Fresnels Assumptions, Fresnels Half-Period Zones for PlaneWave, Explanation of Rectilinear Propagation of Light, Theory of a Zone re.TextBooks: 1. AtextbookofOpticsN.SubrahmanyamandBrijLal(S.Chand Publishing) 2. Optics- Ajoy Ghatak (McGraw Hill)Reference Books:1. Optics-E.Hecht(Pearson)2. w-Hill)3. Geometrical and Physical Optics R.S. Longhurst (OrientBlackswan)4. 5. OpticsP.K.Chakrabarty

6. PrinciplesofOptics-MaxBornandEmilWolf(

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