## Syllabus of BA HONS: MAGADH UNIVERSITY

We have these reference book and syllabus of Physics of BSC HONS WITH PHYSICS OF MAGADH UNIVERSITY.

### PHYSICS HONS BSC HONS:

1.Mathematical Physics-I
2. Mechanics
3. Electricity and Magnetism
4. Waves and Optics
5. Mathematical Physics–II
6. Thermal Physics
7. Digital Systems and Applications
8. Mathematical Physics III
9. Elements of Modern Physics
10. Analog Systems and Applications
11. Quantum Mechanics and Applications
12. Solid State Physics
13. Electromagnetic Theory
14. Statistical Mechanics

All of these 14 Topics or subjects of Physics hons. are divided in 3 year namely BSC. HONS PART 1, PART 2 AND PART 3 IN THE MAGADH UNIVERSITY (MU).

#### MATHEMATICAL PHYSICS-I

The emphasis of course is on applications in solving problems of interest to physicists.
The students are to be examined entirely on the basis of problems, seen and unseen.

1. Calculus:

Recapitulation: Limits, continuity, average and instantaneous quantities, differentiation.
Plotting functions. Intuitive ideas of continuous, differentiable, etc. functions and
plotting of curves. Approximation: Taylor and binomial series (statements only). First
Order Differential Equations and Integrating Factor.

Second Order Differential equations: Homogeneous Equations with constant
coefficients. Wronskian and general solution. Statement of existence and Uniqueness
Theorem for Initial Value Problems. Particular Integral.

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 Calculus:
Recapitulation of vectors: Properties of vectors under rotations. Scalar product and its
invariance under rotations. Vector product, Scalar triple product and their interpretation
in terms of area and volume respectively. Scalar and Vector fields.

Vector Differentiation:
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, Gradient, divergence, curl and Laplacian in
spherical and cylindrical coordinates.

Vector Integration
Ordinary Integrals of Vectors. Multiple integrals, Jacobian. Notion
of infinitesimal line, surface and volume elements. Line, surface and volume integrals
of Vector fields. Flux of a vector field. Gauss' divergence theorem, Green's and Stokes
Theorems and their applications (no rigorous proofs).

Orthogonal Curvilinear Coordinates:
Orthogonal Curvilinear Coordinates. Derivation of Gradient, Divergence, Curl and
Laplacian in Cartesian, Spherical and Cylindrical Coordinate Systems.

Dirac Delta function and its properties:
Definition of Dirac delta function. Representation as limit of a Gaussian function and
rectangular function. Properties of Dirac delta function.

#### Reference Books:

• Mathematical Methods for Physicists, G.B. Arfken, H.J. Weber, F.E. Harris, 2013,
7th Edn., Elsevier.
• An introduction to ordinary differential equations, E.A. Coddington, 2009, PHI learning
• Differential Equations, George F. Simmons, 2007, McGraw Hill.
• Mathematical Tools for Physics, James Nearing, 2010, Dover Publications.
• Mathematical methods for Scientists and Engineers, D.A. McQuarrie, 2003, Viva Book
• Advanced Engineering Mathematics, D.G. Zill and W.S. Wright, 5 Ed., 2012, Jones
and Bartlett Learning
• Advanced Engineering Mathematics, Erwin Kreyszig, 2008, Wiley India.
• Essential Mathematical Methods, K.F.Riley & M.P.Hobson, 2011, Cambridge Univ. Press

### PHYSICS-C III: ELECTRICITY AND MAGNETISM

#### Electric Field and Electric Potential

Electric field:
Electric field lines. Electric flux. Gauss’ Law with applications to charge
distributions with spherical, cylindrical and planar symmetry.

Conservative nature of Electrostatic Field. Electrostatic Potential. Laplace’s and Poisson
equations. The Uniqueness Theorem. Potential and Electric Field of a dipole. Force and
Torque on a dipole.

Electrostatic energy of system of charges. Electrostatic energy of a charged sphere.
Conductors in an electrostatic Field. Surface charge and force on a conductor.
Capacitance of a system of charged conductors. Parallel-plate capacitor. Capacitance of
an isolated conductor. Method of Images and its application to: (1) Plane Infinite Sheet
and (2) Sphere.

Dielectric Properties of Matter:

Electric Field in matter. Polarization, Polarization
Charges. Electrical Susceptibility and Dielectric Constant. Capacitor (parallel plate,
spherical, cylindrical) filled with dielectric. Displacement vector D. Relations between
E, P and D. Gauss’ Law in dielectrics.

Magnetic Field:
Magnetic force between current elements and definition of Magnetic
FieldB. Biot-Savart’s Law and its simple applications: straight wire and circular loop.
Current Loop as a Magnetic Dipole and its Dipole Moment (Analogy with Electric
Dipole). Ampere’s Circuital Law and its application to (1) Solenoid and (2) Toroid.
Properties of B: curl and divergence. Vector Potential. Magnetic Force on (1) point
charge (2) current carrying wire (3) between current elements. Torque on a current loop
in a uniform Magnetic Field. (9 Lectures)
Magnetic Properties of Matter: Magnetization vector (M). Magnetic Intensity(H).
Magnetic Susceptibility and permeability. Relation between B, H, M. Ferromagnetism.
B-H curve and hysteresis. (4 Lectures)
Electromagnetic Induction: Faraday’s Law. Lenz’s Law. Self Inductance and Mutual
Inductance. Reciprocity Theorem. Energy stored in a Magnetic Field. Introduction to
Maxwell’s Equations. Charge Conservation and Displacement current. (6 Lectures)
Electrical Circuits: AC Circuits: Kirchhoff’s laws for AC circuits. Complex Reactance
and Impedance. Series LCR Circuit: (1) Resonance, (2) Power Dissipation and (3)
Quality Factor, and (4) Band Width. Parallel LCR Circuit. (4 Lectures)

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 dc circuit.

Ballistic Galvanometer: Torque on a current Loop. Ballistic Galvanometer: Current
and Charge Sensitivity. Electromagnetic damping. Logarithmic damping. CDR.

#### Reference Books:

• Electricity, Magnetism & Electromagnetic Theory, S. Mahajan and Choudhury,
2012, Tata McGraw
• Electricity and Magnetism, Edward M. Purcell, 1986 McGraw-Hill Education
• Introduction to Electrodynamics, D.J. Griffiths, 3rd Edn., 1998, Benjamin Cummings.
• Feynman Lectures Vol.2, R.P.Feynman, R.B.Leighton, M. Sands, 2008, Pearson Education
• Elements of Electromagnetics, M.N.O. Sadiku, 2010, Oxford University Press.
• Electricity and Magnetism, J.H.Fewkes & J.Yarwood. Vol. I, 1991, Oxford Univ. Press.

### PHYSICS-C IV: WAVES AND OPTICS

#### Reference Books

• Advanced Practical Physics for students, B.L. Flint and H.T. Worsnop, 1971, Asia
Publishing House
• A Text Book of Practical Physics, I. Prakash & Ramakrishna, 11th Ed., 2011, Kitab
Mahal
• Advanced level Physics Practicals, Michael Nelson and Jon M. Ogborn, 4th Edition,
reprinted 1985, Heinemann Educational Publishers
• A Laboratory Manual of Physics for undergraduate classes, D.P.Khandelwal, 1985, Vani Pub.

### MATHEMATICAL PHYSICS-II

#### Reference Books:

• Mathematical Methods for Physicists: Arfken, Weber, 2005, Harris, Elsevier.
• Fourier Analysis by M.R. Spiegel, 2004, Tata McGraw-Hill.
• Mathematics for Physicists, Susan M. Lea, 2004, Thomson Brooks/Cole.
• Differential Equations, George F. Simmons, 2006, Tata McGraw-Hill.
• Partial Differential Equations for Scientists & Engineers, S.J. Farlow, 1993, Dover Pub.
• Mathematical methods for Scientists & Engineers, D.A. McQuarrie, 2003, Viva Books

### THERMAL PHYSICS:-

#### Reference Books:

• Heat and Thermodynamics, M.W. Zemansky, Richard Dittman, 1981, McGraw-Hill.
• A Treatise on Heat, Meghnad Saha, and B.N.Srivastava, 1958, Indian Press
• Thermal Physics, S. Garg, R. Bansal and Ghosh, 2nd Edition, 1993, Tata McGraw-Hill
• Modern Thermodynamics with Statistical Mechanics, Carl S. Helrich, 2009, Springer.
• Thermodynamics, Kinetic Theory & Statistical Thermodynamics, Sears & Salinger.
1988, Narosa.
• Concepts in Thermal Physics, S.J. Blundell and K.M. Blundell, 2nd Ed., 2012, Oxford
University Press

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