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Resources » Articles/Knowledge Sharing » Syllabus »
CSIR-UGC National Eligibility Test (NET) for JRF and Lecturership-Syllabus for Paper II
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Paper II This paper shall be of 2 hours and 30 minutes duration and shall have a maximum of 200 marks. Paper II consists of questions that require short answers and/or calculations. You are provided onepage for answering each question. Part ‘A’ consists of 10 questions that carry 15 marks each. Candidates are required to answer amaximum of 8 questions. In case a candidate answers more than 8 questions, only the first 8answered questions shall be evaluated. (15*8=120 marks). Part ‘B’ consists of 20 questions that carry 10 marks each. Candidates are required to answer amaximum of 8 questions. In case, a candidate answers more than 8 questions, only the first 8answered questions shall be evaluated. (1*8=80 marks).In Paper II, one will have to answer a specified number (8+8=16) of questions, each one page long choosing from two sections and the paper total will be 200 marks. It is important to answer to the point with all relevant points so that one gets good score for this paper. Accuracy,brevity and clarity are the scorers here. This will help to make one qualify for the JRF as well to appear for the selection process for the Shyama Prasad Mukherjee (SPM) Fellowship. Only the top qualify for the SPM selection exam which is followed by an interview. This is highly challenging when one sees the number of people who have been selected for the SPM so far.After the Exam Once the exam is over, you will be relieved. But don't stop now! Write down the questions you can remember. Do this the same day or you won't be able to recall themafterwards. This will help you in preparing for the next exam in case you do not clear it this time. If you do clear it, well, you could pass on the questions to your friends who plan to take the test.Let us get ready for a memory retention test too! Detailed Analysis with Syllabus and Reading List General Reference 1. Fundamentals of Physics – R Resnick, D Halliday & J Walker (Wiley) 2. Concepts of Physics – H C Verma (Bharati Bhawan) 3. Feynman Lecture in Physics, especially Vol. I is a must read. 4. Calculus and Analytical Geometry – Thomas and Finney (Pearson) {for those who wantsome basic math} 5. Concepts of Modern Physics – A Beiser (TMH) 6. Modern Physics – R Gautreau and W Savin (Schaum’s Outline Series) 7. Quantum Mechanics – Y. Peleg et al. (Schaum’s Outline Series) 8. Read the linked article in Physics Kerala by Gerard’t Hooft and use the resources cited byhim thereof (www.physicskerala.org).
Part A I. Mathematical Methods of Physics Syllabus: Dimensional analysis; Vector algebra and vector calculus; Linear algebra, matrices,Cayley Hamilton theorem, eigenvalue problems; Linear differential equations; Special functions(Hermite, Bessel, Laguerre and Legendre); Fourier series, Fourier and Laplace transforms;Elements of complex analysis: Laurent series-poles, residues and evaluation of integrals;Elementary ideas about tensors; Introductory group theory, SU(2), O(3); Elements ofcomputational techniques: roots of functions, interpolation, extrapolation, integration by trapezoid and Simpson’s rule, solution of first order differential equations using Runge-Kutta method;Finite difference methods; Elementary probability theory, random variables, binomial, Poissonand normal distributions. 1. Mathematical Methods for Physicists – Arfken and Weber 2. Mathematical Methods for Physicists: A concise introduction - Tai L. Chow (CambridgeUniversity Press - 2000) 3. Mathematical Techniques for Engineers and Scientists – Andrews and Phillips (SPIEPress) 4. Mathematical Methods for Scientists and Engineers – Donald A McQuarrie (UniversityScience Books: California) 5. Complex Variables – Churchill (McGraw-Hill) 6. Differential Equations – G. F. Simmons (McGraw-Hill) 7. Mathematical Methods in Classical and Quantum Physics – Tulsi Dass and Satish K. Sharma (University Press – 1998)
II. Classical Mechanics
Syllabus:Newton’s laws; Phase space dynamics, stability analysis; Central-force motion;Two-body collisions, scattering in laboratory and centre-of-mass frames; Rigid bodydynamics, moment of inertia tensor, non-inertial frames and pseudo forces; Variationalprinciple, Lagrangian and Hamiltonian formalisms and equations of motion; Poissonbrackets and canonical transformations; Symmetry, invariance and conservation laws,cyclic coordinates; Periodic motion, small oscillations and normal modes; Special theoryof relativity, Lorentz transformations, relativistic kinematics and mass–energy equivalence.
1. Mechanics – Landau and Lifshitz (Pergamon Press) 2. Classical Mechanics – H S Hans and S P Puri (Tata McGraw Hill). 3. Classical Mechanics – Goldstein, Poole and Safko (Pearson) 3rdEdn. 4. Lagrangian and Hamiltonian Mechanics – M G Calkin (World Scientific). 5. Relativity – The Special and General Theory – A Einstein (available for download fromthe Physics Kerala web). 6. Introduction to Special Relativity – R Resnick (Wiley). 7. Special Relativity – A. P. French (The MIT Introductory Physics Series – 1968). 8. Classical Mechanics - R. Douglas Gregory (Cambridge University Press 2006).
III. Electromagnetic Theory
Syllabus: Electrostatics: Gauss’ Law and its applications; Laplace and Poisson equations,boundary value problems; Magnetostatics: Biot-Savart law, Ampere's theorem, electromagneticinduction; Maxwell's equations in free space and linear isotropic media; boundary conditions onfields at interfaces; Scalar and vector potentials; Gauge invariance; Electromagnetic waves in freespace, dielectrics, and conductors; Reflection and refraction, polarization, Fresnel’s Law,interference, coherence, and diffraction; Dispersion relations in plasma; Lorentz invariance ofMaxwell’s equations; Transmission lines and wave guides; Dynamics of charged particles in staticand uniform electromagnetic fields; Radiation from moving charges, dipoles and retarded potentials. 1. Introduction to Electrodynamics – D J Griffiths (Prentice Hall) 2. Basic Laws of Electromagnetism – I E Irodov (Mir Publishers) 3. Electromagnetics with Applications – Kraus and Fleisch (McGraw-Hill) 4. A Student’s Guide to Maxwell’s Equations - Daniel Fleisch (Cambridge University Press- 2008) 5. Optics – Eugene Hecht (Pearson) 6. Introduction to Modern Optics – Grant R. Fowles (Dover) 7. Modern Optics – Robert D. Guenther (Wiley - 1990).
IV. Quantum Mechanics
Syllabus: Wave-particle duality; Wave functions in coordinate and momentumrepresentations; Commutators and Heisenberg's uncertainty principle; Matrix representation;Dirac’s bra and ket notation; Schrödinger equation (time-dependent and time-independent);Eigenvalue problems such as particle-in-a-box, harmonic oscillator, etc.; Tunneling through abarrier; Motion in a central potential; Orbital angular momentum, Angular momentumalgebra, spin; Addition of angular momenta; Hydrogen atom, spin-orbit coupling, finestructure; Time-independent perturbation theory and applications; Variational method; WKBapproximation; Time dependent perturbation theory and Fermi's Golden Rule; Selection rules; Semi-classical theory of radiation; Elementary theory of scattering, phase shifts, partialwaves, Born approximation; Identical particles, Pauli's exclusion principle, spin-statisticsconnection; Relativistic quantum mechanics: Klein Gordon and Dirac equations. 1. Quantum Mechanics – E. Merzbacher (John Wiley & Sons) 2. Principles of Quantum Mechanics – R. Shankar (Kluwer Academic/Plenum Publishers) 3. Textbook of Quantum Mechanics - P. M. Mathews and K. Venkatesan (Tata McGraw-Hill) 4. Introduction to Quantum Mechanics - David J. Griffiths (Prentice Hall) 5. Quantum Mechanics An Introduction – Walter Greiner (Springer) 6. Quantum Mechanics – A. Goswami (Waveland Pr Inc) 7. Lecture on Quantum Mechanics – Ashok Das (Himalaya Publishers) 8. Applied Quantum Mechanics – A. F. J. Levi (Cambridge University Press - 2004)
V. Thermodynamic and Statistical Physics
Syllabus: Laws of thermodynamics and their consequences; Thermodynamic potentials, Maxwell relations; Chemical potential, phase equilibria; Phase space, micro- and macrostates; Microcanonical, canonical and grand-canonical ensembles and partitionfunctions; Free Energy and connection with thermodynamic quantities; First- and second-order phase transitions; Classical and quantum statistics, ideal Fermi and Bose gases;Principle of detailed balance; Blackbody radiation and Planck's distribution law; Bose-Einstein condensation; Random walk and Brownian motion; Introduction tononequilibrium processes; Diffusion equation. 1. Statistical Mechanics – R. K. Patria (Butterworth Heinemann) 2. Statistical Mechanics – K. Huang (Wiley) 3. Elements of Statistical Mechanics – Kamal Singh and S. P. Singh (S. Chand) 4. Statistical Mechanics: A Set of Lectures – R. P. Feynman (W A Benjamin Inc: NewYork) 5. Fundamental of Statistical and Thermal Physics – P. Reif (McGraw-Hill) 6. Statistical Physics – I. Ishihara (Academic Press) 7. Elementary Statistical Physics – C. Kittel (John Wiley & Sons) 8. Concepts in Thermal Physics - Stephen J. Blundell and Katherine M. Blundell (Oxford University Press 2006)
VI. Electronics
Syllabus:Semiconductor device physics, including diodes, junctions, transistors, field effect devices, homo and heterojunction devices, device structure, device characteristics, frequency dependence and applications; Optoelectronic devices, including solar cells,photo detectors, and LEDs; High-frequency devices, including generators and detectors;Operational amplifiers and their applications; Digital techniques and applications(registers, counters, comparators and similar circuits); A/D and D/A converters;Microprocessor and microcontroller basics.
1. Elements of Electronics – Bagde & Singh (S Chand & Co) 2. Principles of Electronics – V. K. Mehta (S Chand & Co.) 3. Operational Amplifiers & Linear Integrated Circuits – R. Gayakawad (Pearson)4. Electronic Principles – A. P. Malvino (Tata McGraw-Hill) 5. Electronic Devices and Circuits – Allen Mottershed 6. Integrated Electronics – Millman and Halkias 7. Digital Principles and Applications – Malvino and Leech (McGraw-Hill)
Part B
VII. Experimental Techniques and data analysis
Syllabus: Data interpretation and analysis; Precision and accuracy, error analysis, propagation oferrors, least squares fitting, linear and nonlinear curve fitting, chi-square test; Transducers(temperature, pressure/vacuum, magnetic field, vibration, optical, and particle detectors),measurement and control; Signal conditioning and recovery, impedance matching, amplification (Op-amp based, instrumentation amp, feedback), filtering and noise reduction, shielding andgrounding; Fourier transforms; lock-in detector, box-car integrator, modulation techniques.
1. Quantum Physics of Atoms, Molecules, Solids, Nuclei, and Particles, - R Eisberg and RResnick (Wiley) 2. Introduction to Atomic Spectra - H. E. White (McGraw-Hill) 3. Molecular Spectroscopy – C. N. Barnwell (McGraw-Hill) 4. Modern Spectroscopy - J. Michael Hollas (John Wiley & Sons - 2004) 5. Laser Fundamentals – William T. Silfvast (Cambridge University Press - 2004)
IX. Condensed Matter Physics
Syllabus: Bravais lattices; Reciprocal lattice, diffraction and the structure factor; Bonding ofsolids; Elastic properties, phonons, lattice specific heat; Free electron theory and electronicspecific heat; Response and relaxation phenomena; Drude model of electrical and thermalconductivity; Hall effect and thermoelectric power; Diamagnetism, paramagnetism, and ferromagnetism; Electron motion in a periodic potential, band theory of metals, insulatorsand semiconductors; Superconductivity, type – I and type - II superconductors, Josephsonjunctions; Defects and dislocations; Ordered phases of matter, translational and orientationalorder, kinds of liquid crystalline order; Conducting polymers; Quasicrystals.
1. Introduction to Solid State Physics – C Kittel (Wiley) 2. Solid State Physics – Ali Omar (Pearson) 3. Problems and Solutions in Solid State Physics – S. O. Pillai (New Age) 4. Solid State Physics – Azhcroft and Mermin
X. Nuclear and Particle Physics
Syllabus: Basic nuclear properties: size, shape, charge distribution, spin and parity;Binding energy, semi-empirical mass formula; Liquid drop model; Fission and fusion; Natureof the nuclear force, form of nucleon-nucleon potential; Charge-independence and charge-symmetry of nuclear forces; Isospin; Deuteron problem; Evidence of shell structure, single-particle shell model, its validity and limitations; Rotational spectra; Elementary ideas ofalpha, beta and gamma decays and their selection rules; Nuclear reactions, reaction mechanisms, compound nuclei and direct reactions; Classification of fundamental forces;Elementary particles (quarks, baryons, mesons, leptons); Spin and parity assignments, isospin, strangeness; Gell-Mann-Nishijima formula; C, P, and T invariance and applicationsof symmetry arguments to particle reactions, parity non-conservation in weak interaction;Relativistic kinematics.
1. Introduction to Nuclear and Particle Physics – A. Das and T. Ferbel (World Scientific –2005) 2. Subatomic Physics - Ernest M. Henley and Alejandro Garcia (World Scientific - 2007) 3. An Introduction to Nuclear Physics – W. N. Cottingham and D. A. Greenwood (Cambridge University Press - 2004) 4. Particles and Nuclei: An Introduction to the Physical Concepts - Bogdan Povh et. al.(Springer - 2006) 5. Introduction to Elementary Particle Physics – Khanna (Prentice Hall)
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