3rd Semester
PHY-401 Electricity & Magnetism-I 3 (3 – 0)
Electric charge, coulombs law, Electric field, continuous charge distributions, image charges, electric dipole, Gauss’s Law and its applications, electric potential, electric properties of materials, capacitor, dielectric, capacitors in circuits, energy stored in capacitors, electric polarization, Gauss’s Law for dielectrics, electric current, current density and Ohm’s law, equation of continuity, DC circuits, analysis of circuits, electric fields in circuits, resistance in circuits, energy transfers in a circuit, RC circuits, magnetism, magnetic force on a charged particle, magnetic torque due to currents, magnetic dipole, Biot-Savart Law and its applications, Ampere’s law and its applications, Gauss’ law for magnetism, origin of atomic and nuclear magnetism, magnetization, magnetic materials: diamagnetic, paramagnetic, ferroamagnetic. Induced magnetic fields and displacement current.Recommended Books: 1. Halliday, Resnick and Walker, 2011. Fundamental of Physics, 9th Ed , John Wiley and Sons Inc, New York,. 2. Griffiths D, 2003, Introduction to Electrodynamics, Prentice Hall. 3. Resnick, Hlliday and Krane, 2002, Physics Vol II, Ed. 5th, John Wiley and Sons Inc, New York. 4. Sears, Zemansky and Young, 2000, University Physics Ed. 11th, Addison-Wesley, reading (MA), USA.
PHY-403 Modern Physics-I 3 (3 – 0)
1. Halliday, Resnick and Walker, 2011. Fundamental of Physics, 9th Ed , John Wiley and Sons Inc, New York,. 2. Raymond A. Serway and John W. Jewett, January 11, 2010, 8th Edition, Physics for Scientists and Engineers with Modern Physics. 3. Demtroder. W, 2005. Atoms, Molecules and Photons, publisher: Springer 4. Foot C.J., 2005. Atomic Physics 1st Ed, Oxford University Press 5. H. Haken and H.C. 2004, The Physics of Atoms and Quanta, 7th Ed, Wolf, publisher: Springer 6. Bransden B.H, and Joachain 2003. Atoms and Molecules 2 nd Ed. publisher: Pearson Education. 7. Beiser, A 2002, Concepts of Modern Physics. 6th Ed. McGraw-Hill, USA. 8. Halliday Resnick, and Krane, 2002. Physics Vol. II, 5th Ed, John Wiley and Sons Inc, New YorkPHY-405 Differential Equations-I 3 (3 – 0)
Introduction to differential equations, Definitions and terminology, Initial-value problems, Linear and nonlinear equations, general solution, Particular solution, explicit solution, implicit solution, Differential equations as mathematical models. First order differential equation, Solution curves without the solution, Separable variables, linear differential equations, exact equations, Solution by substitution. Modeling with first order differential equations, linear differential equations, and Non-linear equations, Systems of linear and non-linear equations. Higher-order differential equations, Preliminary theory, linear equations, initial-value and Boundaryvalue problems, homogeneous equations, non-homogeneous equations, Reduction of order, homogeneous linear equations with constant coefficients, Undetermined coefficients (Superposition approach, Annihilator approach), Variation of parameters, Cauchy-Euler equations, Solving systems of linear equations by elimination, nonlinear equations Bernoulli’s equation, first order non-linear ordinary differential equation, Clairaut’s equation, Riccati equation, higher order exact linear equationsRecommended 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 Weber,1995, “Mathematical Methods for Physicists”, A press, New York,. 4. S.J Farlow, McGraw-Hill, 1994. “An Introduction to Differential Equations and their Applications”
MTH-421 Applied Mathematics 3 (3 – 0)
Basic concepts of statistics, concept of probability, axioms of probability, discrete probability, & continuous probability, frequencies and probabilities, binomial, Poisson, and normal distributions, mode, mean, median, regression and correlation, sampling theory, analysis of variance. Numerical Analysis, solutions of algebraic and transcendental equations, roots of cubic and biquadratic equations, numerical methods, bisection methods, Newton-Raphson, formula, the secant method, method of false position, numerical solution of simultaneous linear algebraic equations, Gauss elimination method, Cramer’s rule, Choleski’s factorization method, Jacobi iterative method, numerical integration, rectangular rule, Trapezoidal rule, Simpson’s rule, Error analysis. Recommended Books:1. F. Riley, M. P. Hobson and S. J. Bence, 1997. “Mathematical Methods for Physics and Engineering” Cambridge University Press,
2. G. Arfken and H. J. Weber, 1995. “Mathematical Methods for Physicists” Academic Press, 3. E. Butkov, Addison-Wesley1968, “Mathematical Physics” Publishing Company,. 4. “Experimental Measurements” by Precision, Error and Truth by N. C. Barford, Addison-Wesley Publishing Company, Inc. 5. “Modern Statistics” by Richard Goodman, ARC Books, NY.
ENG-421 Communication Skills 3 (3 – 0)
To be provided by the concerned DepartmentPHY-407 Lab Course-I (Mechanics, Heat and Vibrations) 3 (0 – 3)
1. Measurement of Oscillation period of the pendulum as a function of the angle of oscillation Φ of the oscillation plane for two different pendulum lengths. 2. Projectile motion: (a) To determine the range as a function of the angle of inclination. (b) To determine the maximum height of projectile as a function of angle of inclination. (c) To determine the range / height as a function of initial velocity of projectile. 3. To determine the value of ‘g’ be compound pendulum (Kater’s Pendulum). 4. To determine Horizontal/Vertical distance by Sextant. 5. To determine the frequency of A.C supply by Melde’s experiment. 6. To determine the modulus of rigidity of a flat spiral spring. 7. To determine the modulus of rigidity of a wire by solid cylindrical rod. 8. Surface tension of water by capillary flow method.Recommended Books:-
1. Kraftmakers, Y. 2007. Experiments and demonstrations in Physics, World Scientific Publishing Co. Ltd. 2. Isenberg, C. 1996. Physics Experiments and Projects for students (Physics experiments & Projects). Taylor and Francis, USA.
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