EAS-202 : ENGINEERING PHYSICS- II

Unit – I
Wave Mechanics and X-ray Diffraction
Wave- particle duality, de-Broglie matter waves, Phase and Group velocities, Davisson-Germer experiment, Heisenberg uncertainty principle and its applications, Wave function and its significance, Schrödinger’s wave equation – particle in one dimensional box.
Diffraction of X-rays by crystal planes, Bragg’s spectrometer, Compton’s effect. 10 Hrs.

Unit – II
Dielectric and Magnetic Properties of Materials:
Dielectric constant and Polarization of dielectric materials, Types of Polarization (Polarizability) . Equation of internal fields in liquid and solid ( One- Dimensional), Claussius Mussoti- Equation, Ferro and Piezo electricity (Qualitative), Frequency dependence of dielectric constant, Dielectric Losses, Important applications of dielectric material, Langevin’s theory for dia and paramagnetic material, Phenomena of hysteresis and its applications.
Ultrasonic: Generation, detection and application of ultrasonics 08 Hrs.
Unit-III
Electromagnetics
Displacement Current, Maxwell’s Equations ( Integral and Differential Forms). Equation of continuity, EM- Wave equation and its propagation characteristics in free space and in conducting media, Poynting theorem and Poynting vectors. 06 Hrs.
Unit-IV
Superconductivity and Science and Technology of Nanomaterials:
Temperature dependence of resistivity in superconducting materials, Effect of magnetic field (Meissner effect ), Type I and Type II superconductors, Temperature dependence of critical field, BCS theory (Qualitative), High temperature superconductors. Characteristics of superconductors in superconducting state, Applications of Super-conductors.
Introduction to Nanomaterials- Basic principle of nanoscience and technology, creation and use of buckyballs, structure, properties and uses of Carbon nanotubes, Applications of nanotechnology. 06 Hrs.

Reference books:
1- Concept of Modern Physics – by Beiser (Tata Mc-Graw Hill)
2- Solid State Physics – by C. Kittel, 7th edition (Wiley Eastern)
3- Materials Science and – by V. Raghavan (Prentice- Hall India)
Engineering
4- Solid State Physics – by S.O. Pillai, 5th edition (New Age International )
5- Nanotechnology – by Rechard Booker and Earl Boysen (Wiley Publishing )
6- Introduction to – by David J. Griffith (PH I) Electrodynamics

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EAS-203 – MATHEMATICS –II

Unit – I : Differential Equations
Linear differential equations of nth order with constant coefficients, Complementary functions and particular integrals, Simultaneous linear differential equations, Solution of second order differential equation by changing dependent and independent variables, Method of variation of parameters, Applications to engineering problems (without derivation).

Unit – II : Series Solution and Special Functions
Series solution of ordinary differential equations of 2nd order with variable coefficients (Frobenius Method),
Bessel and Legendre equations and their series solutions, Properties of Bessel functions and Legendre polynomials.
Unit – III : Laplace Transform
Laplace transform, Existence theorem, Laplace transform of derivatives and integrals, Inverse Laplace transform, Unit step function , Dirac delta function, Laplace transform of periodic functions, Convolution theorem, Application to solve simple linear and simultaneous differential equations.
Unit – IV : Fourier Series and Partial Differential Equations
Periodic functions, Trignometric series, Fourier series of period 2π , Eulers formulae, Functions having arbitrary period, Change of interval, Even and odd functions, Half range sine and cosine series, Harmonic analysis.
Solution of first order Lagrange’s linear partial differential equatins, Linear partial differential equations with constant coefficients of 2nd order and their classifications – parabolic, elliptic and hyperbolic with illustrative examples.
Unit – V : Applications of Partial Differential Equations
Method of separation of variables for solving partial differential equations, Wave equation up to two-dimensions, Laplace equation in two-dimensions, Heat conduction equations up to two-dimensions, Equations of transmission lines.

Test Books:-
1. B.V.Ramana, Higher Engineering Mathmatics, Tata Mc Graw-Hill Publishing Company Ltd., 2008.
2. R.K.Jain & S.R.K.Iyenger, Advance Engineering Mathematics, Narosa Publishing House, 2002.
Reference Books:-
1. B.S.Grewal, Engineering Mathematics, Khanna Publishers, 2004.
2. B.S.Grewal, Higher Engineering Mathematics, Khanna Publishers, 2005.
3. E.Kreyszig, Advanced Engineering Mathematics, John Wiley & Sons, 2005.
4. C.Ray Wylie & Louis C. Barrett, Advanced Engineering Mathematics, Tata Mc Graw-Hill Publishing Company Ltd. 2003
5. Peter V. O’Neil, Advanced Engineering Mathematics, Thomson (Cengage) Learning, 2007.
6. G.F.Simmons, Differential Euations, Tata Mc Graw-Hill Publishing Company Ltd. 1981.
7. Chandrika Prasad, Advanced Mathematic for Engineers, Prasad Mudranalaya,1996.

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