4 th Semester
PHY-402 | Electricity & Magnetism-II | 3 (3 – 0)
Faraday’s Law of Electromagnetic induction, review of emf, Lenz’s Law, Induced electric fields, Inductance, Inductance of a Solenoid and Toroid. Transients, LR Circuits, Growth and Decay of current, Energy stored in a magnetic field, Energy density, Electromagnetic Oscillation, Qualitative and Quantitative analysis, Forced electromagnetic oscillations and resonance, Alternating current, AC current in resistive, inductive and capacitive elements, single loop RLC circuit, acceptor and rejecter circuits, Power in A.C circuits, Summarizing the electro-magnetic equations, Induced magnetic fields & displacement current, Maxwell's equations, Maxwell equations in a medium, dielectrics and magnetic materials, e.m spectrum, generating an electro-magnetic wave, Traveling waves and Maxwell's equations, energy transport and the Poynting Vector, Propagation of electromagnetic waves in conducting media and in ionized gases, reflection and transmission at normal and oblique incidence, absorption and dispersion of electromagnetic waves in a conductor.Recommended Books:
1. Serway, Raymond A. and Jerry S. Faughn, 2003, College physics, 6th ed, Brooks/Cole Publishin
2. Resnick, Hlliday and Krane. 2002, Physics, Vol II, 5th Ed. John Wiley and Sons Inc, New York
3. Feynman R.P, R.B Leighton and M.Sands. The Fyenman Lectures of Physics; Electromagnetism and matter. Addison Wesley.
4. Griffiths D. 1989, Introduction to Electrodynamics. Prentice Hall.
5. Lorrain P and D.Corson. Electromagnetic Fields and Waves, 2nd Ed. Freeman publications.
PHY-404 Modern Physics-II 3 (3 – 0)
Review of Bohr’s theory, Summerfeld model, Frank Hertz Experiment, Stern Gerlach Experiment, quantum
numbers, radiactive transition, selection rules, Zeeman Effect (normal and anomalous Zeeman Effect, The Stark
Effect, Pauli exclusion principle, Spin orbit coupling LS coupling, JJ coupling, X-ray spectra. Molecular
spectra, Ionic and covalent bonding, diatomic molecular-rotational, vibrational and electronic spectra,
polyatomic molecules, black body radiation, Einstein co-efficient (A and B coefficients) and stimulated
emission, pumping schemes, characteristics of laser, different types of lasers, laser applications. The fine
structure of hydrogen, Helium, the ground state of helium, excited states of helium, transitions in helium.
Recommended Books:
1. Halliday Resnick, and Walker, 2011. Fundamental of Physics, 9th Ed , John Wiley and Sons Inc, New
York,.
2. Demtroder. W, 2005. Atoms, Molecules and Photons, publisher: Springer
3. Foot C J. 2005, Atomic Physics 1st Ed, Oxford University Press.
4. Haken H and H.C. 2004, The Physics of Atoms and Quanta, 7th Ed, Wolf, publisher: Springer
5. Beiser, A 2002, Concepts of Modern Physics. 6th Ed. McGraw-Hill, USA.
6. Bransden B H, and Joachain 2003. Atoms and Molecules 2
nd Ed. publisher: Pearson Education.
7. Halliday Resnick, and Krane, 2002. Physics Vol. II, 5th Ed, John Wiley and Sons Inc, New York
PHY-406 Differential Equations-II 3 (3 – 0)
Modeling with higher order equations, Linear equations, initial-value problems, Spring/Mass systems (Free
undamped motion, Free damped motion and driven motion), Resonance and Beats Series Circuit (RC series
circuit, LC series circuit, RL series circuit and RLC series circuit), linear equations: boundary value problems,
non-linear equations, Series Solutions, Series solutions about ordinary points, Review of Power series, Power
series solution, solution about singular points, Method of Frobenius Series solutions, Legendre’s equation,
Bessel’s equations, Bessel function of the first kind, Bessel’s function of second kinds, Parametric Bessel’s
equation, Differential recurrence relations, spherical Bessel’s function, Legendre Polynomials, Recurrence
relations, Laplace transform, Definition of the Laplace transform, Inverse transforms, Transforms of
derivatives, Translation Theorems (translation on the s-axis and t-axis), Additional operational properties,
Transforms of an integrals and a periodic functions, Dirac Delta function, Laplace transform of a Dirac Delta
function, Applications to differential equations and systems of linear differential equations, Systems of linear
first order differential equations, Preliminary theory, Homogeneous systems with constant coefficients, Distinct
Real eigenvalues, repeated eigenvalues, Complex eigenvalues, undetermined coefficients, Variation of
parameters, Matrix exponential
Recommended Books:
1. E.Kreyszig, Wiley,1999.“Advanced Engineering Mathematics” New York,
2. K.F. Riley, M.P. Hobson and S.J Bence,1997 “Mathematical Methods for Physics and
Engineering”,Cambridge University press.
3. G.B Arfken and H.J 1995, “Mathematical Methods for Physicists”, Weber A Press, New York, .
PHY-408 Lab Course-II (Optics & Modern Physics) 3 (0 – 3)
1. Characteristic x-rays of Molybdenum
2. Specific rotation of cane – sugar solution with Laurent’s half shade polarimeter.
3. Ionization potential of mercury / Neon.
4. e/m Experiment (determination of charge to mass ratio of electron)
5. X-ray investigation of crystals
6. Characteristic curves of a solar cell.
7. Plank’s constant using photocell method.
8. Wave length of sodium light using a diffraction grating.
Recommended Books.
1. Leimbach G, 2005. Physics Laboratory experiment, Germany.
2. Demtroder.W. 2005. Atoms, Molecules and Photon, Springer.
MTH-422 Linear Algebra 3 (3 – 0)
Vector space, linear dependence, dimensionality, inner product, Hilbert space, linear operators, Gram-Schmidt
method, matrices, addition, multiplication, division, derivatives and integrals of matrices, partition of matrices,
elementary row operations, systems of linear equations, transpose, unitary and hermitian matrices, eigenvalues
and eigen vectors, diagonalization, singular matrix, trace of a matrix, determinants, Cramer’s rule, inverse
matrix, linear transformation. Groups, subgroups, homomorphism and isomorphism, group representation,
reducible and irreducible representations, Schurs lemma.
Recommended Books
1. E.Kreyszig, Wiley,1999.“Advanced Engineering Mathematics” New York,
2. K.F. Riley, M.P. Hobson and S.J Bence,1997 “Mathematical Methods for Physics and
Engineering”,Cambridge University press.
3. G.B Arfken and H.J 1995, “Mathematical Methods for Physicists”, Weber A Press, New York
CHM-402 Chemistry (Special Topics) 4 (3 – 1)
To be provided by the concerned Department
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