B.Sc. (Hons) Physics Syllabus
Semester V

COURSE CODECOURSE NAMECREDITS

JBPH501
Mathematical Physics:
UNITI
Vector Calculus Vector Differentiation: Scalar and Vector Fields. Ordinary and Partial Derivative of a Vector w.r.t. Coordinates. Space Curves. Unit Tangent Vector and Unit Normal Vector (without Frenet  Serret Formulae). Directional Derivatives and Normal Derivative. Gradient of a Scalar Field and its Geometrical Interpretation. Divergence and Curl of a Vector Field. Del and Laplacian Operators. Vector Identities. Vector Integration: Ordinary Integral of Vectors. Line, Surface and Volume Integrals. Flux of a Vector Field. Gauss' Divergence Theorem, Green's Theorem and Stokes Theorem.
UNITII
Orthogonal Curvilinear Coordinates: Orthogonal Curvilinear Coordinates. Derivation of Gradient, Divergence, Curl and Laplacian in Cartesian, Spherical and Cylindrical Coordinate Systems. Multiple Integrals: Double and Triple Integrals: Change of Order of Integration. Change of Variables and Jacobian. Applications of Multiple Integrals: (1) Area Enclosed by Plane Curves, (2) Area of a Curved Surface, (3) Volumes of Solids .
UNITIII
Some Special Integrals: Beta and Gamma Functions and Relation between them. Expression of Integrals in terms of Gamma Functions. Error Function (Probability Integral).
UNITIV
Theory of Errors: Systematic and Random Errors. Propagation of Errors. Normal Law of Errors. Standard and Probable Error.
UNITV
Fourier Series: Fourier Series. Dirichlet Conditions (Statement only). Kronecker's Method for Computation of Fourier Coefficients. Even and Odd Functions. Orthogonality of Sine and Cosine Functions. Sine and Cosine Series. Applications: Square Wave, Triangular Wave, Output of Full Wave Rectifier and other Simple Functions. Summing of Infinite Series TermbyTerm Differentiation and Integration of a Fourier Series.
Books:
 1. Schaum's Outline of Vector Analysis, 2nd Edn. By Murray Spiegel, Seymour Lipschutz (McGrawHill, 2009)
 2. Vector Analysis and Cartesian Tensors, 3ed By D. E. Bourne, P C Kendall (Chapman & Hall, 1992)
 3. Schaum's Outline of Theory and Problems of Fourier Analysis By Murray R. Spiegel (McGrawHill, 1974)
 4. Advanced Engineering Mathematics by Erwin Kreyszig (Wiley Eastern Limited,1985)
04 
JBPH502
Statistical Physics:
UNITI
Classical Statistics: Entropy and Thermodynamic Probability. MaxwellBoltzmann Distribution Law. Ensemble Concept. Partition Function. Thermodynamic Functions of Finite Number of Energy Levels. Negative Temperature. Thermodynamic Functions of an Ideal Gas. Classical Entropy Expression, Gibbs Paradox. Law of Equipartition of Energy – Applications to Specific Heat and its Limitations.
UNITII
Classical Theory of Radiation: Properties of Thermal Radiation. Blackbody Radiation. Pure Temperature Dependence. Kirchhoff's Law. StefanBoltzmann Law and Wien's Displacement law. Saha's Ionization Formula.
UNITIII
Quantum Theory of Radiation: Radiation: StefanBoltzmann Law: Thermodynamic Proof. Radiation Pressure. Spectral Distribution of Black Body Radiation. Wien's Distribution Law and Displacement Law. RayleighJean's Law. Ultraviolet Catastrophe. Planck's Quantum Postulates. Planck's Law of Blackbody Radiation : Experimental Verification. Deduction of (1) Wien's Distribution Law, (2) RayleighJeans Law, (3) StefanBoltzmann Law and (4) Wien's Displacement Law from Planck's Law.
UNITIV
BoseEinstein Statistics: BE distribution law. Thermodynamic functions of a Completely Degenerate Bose Gas. BoseEinstein condensation, properties of liquid He (qualitative description). Radiation as photon gas. Bose's derivation of Planck's law.
UNITV
FermiDirac Statistics: FermiDirac Distribution Law. Thermodynamic functions of an ideal Completely Degenerate Fermi Gas. Fermi Energy. Electron gas in a Metal. Specific Heat of Metals. White Dwarf Stars. Chandrasekhar Mass Limit.
Books:
 1. Statistical Physics : Berkeley Physics Course Volume 5 by F Reif (Tata McGrawHill Company Ltd, 2008)
 2. Statistical and Thermal Physics: an introduction by S.Lokanathan and R.S.Gambhir. ( P.H.I., 1991).
 3. Statistical Mechanics by R. K. Patharia.(Oxford: Butterworth, 1996).
 4. Statistical Mechanics by K. Huang (Wiley, 1987.)
 5. Statistical Mechanics by eyringeyringeyring
04 
JBPH503
Digital Electronics:
UNITI
Introduction to CRO: Block Diagram of CRO. Electron Gun, Deflection System and Time Base. Deflection Sensitivity. Applications of CRO: (1) Study of Waveform, (2) Measurement of Voltage, Current, Frequency, and Phase Difference.
UNITII
Analog Circuits: Integrated Circuits (Qualitative Treatment only): Active and Passive components. Discrete Circuit Component. Wafer. Chip. Advantages and Drawbacks of ICs. Scale of integration: SSI, MSI, LSI and VLSI (Basic Idea and Definitions Only). Classification of ICs. Fabrication of Components on Monolithic ICs. Examples of Linear and Digital ICs. Operational Amplifiers (Use Black Box approach): Basic Characteristics of OpAmps. Characteristics of an Ideal OpAmp. Feedback in Amplifiers. Openloop and Closedloop Gain. Frequency Response. CMRR. Virtual ground.Applications of OpAmps: (1) Inverting and Noninverting Amplifiers, (2) Adder, (3) Subtractor, (4) Unity follower, (5) Differentiator, (6) Integrator, (7) Zero Crossing Detector. Timers (Use Black Box approach): 555 Timer and its Applications: Astable and Monostable Multivibrator.
UNITIII
Digital Circuits: Difference Between Analog and Digital Circuits. Binary Numbers. Decimal to Binary and Binary to Decimal Conversion. AND, OR and NOT Gates (Realization using Diodes and Transistor). NAND AND NOR Gates. Exclusive OR and Exclusive NOR Gates. Boolean algebra: De Morgan's Theorems. Boolean Laws. Simplification of Logic Circuit using Boolean Algebra. Fundamental Products. Minterms and Maxterms. Conversion of a Truth Table into an Equivalent Logic Circuit by (1) Sum of Products Method and (2) Karnaugh Map. Data processing circuits: Basic Idea of Multiplexers, Demultiplexers, Decoders, Encoders, Parity Checkers. Memories: Readonly memories (ROM), PROM, EPROM. Arithmetic Circuits: Binary Addition. Binary Subtraction using 2's Complement Method). Half Adders and Full Adders and Subtractors (only up to Eight Bits). Sequential Circuits: RS, D, and JK FlipFlops. Level Clocked and Edge Triggered FlipFlops. Preset and Clear Operations. Racearound Conditions in JK FlipFlops. MasterSlave JK Flip Flop (As Building Block of Sequential Circuits). Shift registers: SerialinSerialout, SerialinParallelout, ParallelinSerialout, and ParallelinParallelout Shift Registers (only upto 4 bits). Counters: Asynchronous and Synchronous Counters. Ring Counters. Decade Counter. D/A and A/D conversion: D/A converter – Resistive network. Accuracy and Resolution.
Books:
 1. Digital principles and applications By Donald P. Leach & Albert Paul Malvino.
 2. Digital Fundamentals, by Thomas L. Floyd (Universal Book Stall, India).
 3. Digital Electronics by R.P. Jain,
 4. Operational Amplifiers and Linear Integrated Circuits, 4th Edition by Robert F Coughlin and Frederick F Driscoll (P.H.I. 1992)
 5. OpAmps and Linear Integrated Circuits by R. A. Gayakwad (Pearson Education Asia)
02 
JBPH504
Classical Physics:
UNITI
System of particles, Constraints, Generalized coordinates,D'Alemberts principle and Lagrange'sequation, Velocity dependent potential of electromagnetic field.
UNITII
Calculus of Variation, Hamilton's principle, Lagrange's equation, Lagrangian for simple systems,Cyclic coordinates, symmetries and conservation laws. Advantages of Lagrangian: electromechanicalAnalogies
UNITIII
Lagrange's undetermined multipliers, Lagrange's equation for non holonomic systems, Virialtheorem, Principle of mechanical similarity.
UNITIV
Lagrange's undetermined multipliers, Lagrange's equation for non holonomic systems, Virialtheorem, Principle of mechanical similarity.
UNITV
HamiltonJacobi theory, ActionAngle variables, related problems. Two body central forceproblem, reduction to the equivalent one body problem, Differential equation for the orbit andintegrable power law potentials, Condition for stable circular orbit, Kepler's problems.
Books:
 1. Classical Mechanics: H. Goldstein.
 2. Mechanics: L. D. Landau and E. M. Lifshitz
 3. Introduction to Classical Mechanics: R. G. Takwale and Puranik.
 4. Classical Mechanics of Particles and Rigid Bodies: K. C. Gupta.
 5. Introduction to Classical Mechanics: N. C. Rana and P. Joag.
02 
JBPH551
Digital Electronics Lab:
Based on theory paper of Digital Electronics.
02 
JBPH552
General LabI
02 
Total Credits18