Joint Csir-Ugc Net

Joint CSIR-UGC NET June 2026 Full Information About Exam Pattern And Syllabus

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Joint CSIR-UGC NET June 2026 एक राष्ट्रीय स्तर की परीक्षा है जिसका आयोजन National Testing Agency (NTA) द्वारा किया जाता है। यह परीक्षा Junior Research Fellowship (JRF) और Lectureship (Assistant Professor) की पात्रता निर्धारित करने के लिए आयोजित की जाती है। विज्ञान और प्रौद्योगिकी के विभिन्न क्षेत्रों में अनुसंधान को बढ़ावा देने के लिए यह एक अत्यंत महत्वपूर्ण परीक्षा है।           

                              Click Here To Download CSIR UGC NET Full Notification        

Joint CSIR-UGC NET: Overview Table

Exam NameJoint CSIR-UGC NET June 2026
Conducting BodyNational Testing Agency (NTA)
Application Dates27-05-2026 to 19-06-2026
Mode of ExaminationComputer Based Test (CBT)
Official Websitehttps://csirnet.nta.nic.in
Number of Subjects5 Subjects

Joint CSIR-UGC NET: Exam & Selection Process

1. CBT Exam: आवेदन प्रक्रिया  सफलतापूर्वक पूरी करने के बाद, सबसे पहले एक कंप्यूटर आधारित लिखित परीक्षा (Computer Based Test – CBT) देनी होगी। यह परीक्षा तीन भागों में बंटी होती है:

  • Part A: जनरल एप्टीट्यूड और रीजनिंग (सभी के लिए कॉमन)।
  • Part B:चुने हुए विषय  पर आधारित बहुविकल्पीय प्रश्न (MCQs)।
  • Part C:आपकी गहरी समझ और सोचने के तरीके को परखने के लिए हाई-लेवल  विज्ञान  के सवाल पूछे जाते हैं।इस परीक्षा में पास होने (Cut-off क्लियर करने) और मेरिट लिस्ट में आने वाले उम्मीदवारों को अगले चरण के लिए चुना जाता है।

2. Document Verification : लिखित परीक्षा की मेरिट लिस्ट में नाम आने के बाद, आपको DV (Document Verification) के लिए बुलाया जाएगा। इस चरण में आपको अपने Original Documents जैसे—शैक्षणिक प्रमाणपत्र , जाति प्रमाणपत्र, आधार कार्ड/पहचान पत्र और नेट परीक्षा का स्कोरकार्ड आदि दिखाने होंगे।

3.Final Merit List & After DV: DV सफलतापूर्वक पूरा होने के बाद विभाग द्वारा फाइनल सिलेक्शन लिस्ट जारी की जाती हैJ

RF (Junior Research Fellowship): यदि आपका चयन JRF के लिए हुआ है, तो आप देश के किसी भी प्रतिष्ठित संस्थान (IITs, IISERs, CSIR Labs, या यूनिवर्सिटी) में PhD के लिए एनरोल कर सकते हैं, जहाँ आपको सरकार की तरफ से Stipend दी जाएगी।

Lectureship / Assistant Professor: यदि आपने असिस्टेंट प्रोफेसर पात्रता के लिए क्वालीफाई किया है, तो आप विभिन्न यूनिवर्सिटी और कॉलेजों में निकलने वाली प्रोफेसर की भर्तियों के लिए सीधे आवेदन करने के Eligible हो जाते हैं। 

Click Here To Know Full Information About The Exam 

Joint CSIR-UGC NET: Exam Pattern And Syllabus

Part A (Common to All)

  • Total Questions: 20 MCQs

  • Questions to Attempt: Any 15 questions

  • Marks per Question: 2 marks

  • Total Marks for Part A: 30 Marks (Out of 200)

  • Negative Marking: 0.5 marks deduct hote hain har galat jawab par (25% negative marking).

SectionCore TopicsSub-Topics & Concepts
1. Numerical Ability / Quantitative AptitudeArithmetic & Core Mathematics
  • Number System & Simplification
  • LCM and HCF
  • Average, Ratio, Proportion & Variation
  • Percentage, Profit and Loss
  • Simple Interest & Compound Interest
  • Time, Speed and Distance
  • Time and Work
  • Partnership, Alligation and Mixture
Advanced Algebra & Geometry
  • Quadratic Equations
  • Sequence and Series (AP, GP)
  • Surds and Indices
  • Logarithms
  • Permutations and Combinations
  • Probability
  • Geometry, Mensuration & Trigonometry
2. Reasoning AbilityLogical & Analytical Reasoning
  • Series Formation & Number Series
  • Coding-Decoding
  • Distance and Directions
  • Calendar and Clock
  • Ranking and Arrangement Puzzles
  • Blood Relationships
  • Syllogisms & Analogies
  • Venn Diagrams
3. Data Interpretation & Graphical AnalysisVisual & Statistical Data
  • Mean, Median & Mode
  • Measures of Dispersion
  • Graphical Analysis (Bar Graph, Line Graph)
  • Pie-Charts & Tabulation
  • Quantitative Comparisons

Joint CSIR-UGC NET: Chemical Sciences

Exam Pattern

ParticularsPart APart BPart CTotal
Total Questions204060120
Max Questions to Attempt15352575
Marks for Correct Answer224200
Negative Marking0.50.5125%

Syllabus

Subject AreaCore Modules / UnitsDetailed Topics & Key Concepts
Inorganic ChemistryPeriodicity & Bonding
  • Chemical Periodicity: Periodic table, elements, groups, periodic trends in properties.
  • Structure & Bonding: Homonuclear/heteronuclear molecules, VSEPR Theory, M.O. and V.B. theories.
  • Acids and Bases: Concepts, Hard-Soft Acid-Base (HSAB) concept, Non-aqueous solvents.
Main Group & Transition Elements
  • Main Group Elements: Allotropy, synthesis, structure, bonding, and industrial importance.
  • Transition Elements & Coordination Compounds: Bonding theories, spectral/magnetic properties, reaction mechanisms.
  • Inner Transition Elements: Lanthanides & Actinides (spectral/magnetic properties, redox chemistry).
Advanced Inorganic Chemistry
  • Organometallic Compounds: Synthesis, bonding, structure, reactivity, homogeneous catalysis, clusters.
  • Bioinorganic Chemistry: Photosystems, porphyrins, metalloenzymes, oxygen transport, electron-transfer, nitrogen fixation, medicine.
  • Analytical, Characterisation & Nuclear Chemistry: Separation techniques, electroanalytical methods; Characterisation using IR, Raman, NMR, EPR, Mössbauer, UV-vis, MS; Nuclear reactions, fission/fusion, radio-analytical techniques.
Physical ChemistryQuantum Mechanics & Group Theory
  • Quantum Mechanics (Basic & Advanced): Postulates, operator algebra, exactly-solvable systems (particle-in-a-box, harmonic oscillator, hydrogen atom), shapes of orbitals, tunneling. Variational principle, perturbation theory, atomic structure, term symbols.
  • Chemical Bonding & Group Theory: Diatomics, Hückel theory for conjugated-systems. Symmetry elements, point groups, character tables, selection rules.
Thermodynamics & Spectroscopy
  • Molecular Spectroscopy: Rotational/vibrational spectra, electronic spectra, IR/Raman activities, NMR, ESR.
  • Chemical & Statistical Thermodynamics: Laws of thermodynamics, Maxwell’s relations, spontaneity/equilibria, phase rule, ideal/non-ideal solutions. Boltzmann distribution, kinetic theory, partition functions.
Kinetics, Electrochemistry & Materials
  • Electrochemistry: Nernst equation, redox systems, cells, Debye-Hückel theory, electrolytic conductance, ionic equilibria.
  • Chemical Kinetics: Empirical rate laws, temperature dependence, complex reactions, steady-state approximation, collision/transition state theories, enzyme kinetics, photochemistry.
  • Colloids, Surfaces, Solids & Data Analysis: Colloids stability, isotherms, heterogeneous catalysis. Crystal structures, Bragg’s law, band structure. Polymer molar masses. Mean, standard deviation, errors, linear regression.
Organic ChemistryCore Principles & Mechanisms
  • Nomenclature & Stereochemistry: IUPAC nomenclature, configurational/conformational isomerism, stereoselectivity, enantioselectivity, asymmetric induction.
  • Aromaticity & Reactive Intermediates: Benzenoid/non-benzenoid systems. Generation, stability, and reactivity of carbocations, carbanions, free radicals, carbenes, nitrenes, arynes.
  • Reaction Mechanisms: Nucleophilic/Electrophilic substitution and addition, elimination reactions, Substitution (aromatic and aliphatic).
Synthesis & Advanced Organic
  • Named Reactions & Rearrangements: Common named reactions (Aldol, Michael, Wittig, Beckmann, Favorskii, etc.).
  • Organic Synthesis Concepts: Asymmetric synthesis, chiral auxiliaries, resolution, disconnection approach, synthons, protecting groups.
  • Pericyclic & Photochemistry: Cycloaddition, sigmatropic rearrangements, electrocyclization, concerted & photochemical reactions.
Heterocyclic, Naturals & Spectroscopy
  • Heterocyclic Compounds: Synthesis and reactivity of common heterocycles containing O, N, S.
  • Chemistry of Natural Products: Carbohydrates, proteins, peptides, fatty acids, nucleic acids, terpenes, steroids, alkaloids. Biogenesis.
  • Structure Determination: Elucidation using UV-Vis, NMR, and Mass Spectroscopic techniques.
Interdisciplinary TopicsAllied Chemical Sciences
  • Nanoscience & Technology: Chemistry in nanoscience and nanotechnology.
  • Catalysis & Green Chemistry: Sustainable chemistry, atom economy, eco-friendly catalysts.
  • Medicinal Chemistry: Drug design, mechanism of drug action, structure-activity relationships.
  • Supramolecular Chemistry: Host-guest chemistry, non-covalent interactions, molecular assemblies.
  • Environmental Chemistry: Chemical processes in atmosphere, water, and soil; pollution chemistry.

Joint CSIR-UGC NET: Earth Sciences

Exam Pattern

ParticularsPart APart BPart CTotal
Total Questions205080150
Max Questions to Attempt15352575
Marks for Correct Answer224200
Negative Marking0.50.51.3225% for A&B, 33% for C

Syllabus

Section / Core DisciplineMain UnitsDetailed Topics & Key Concepts
Part B: Core Earth Sciences (Common for all candidates)1. The Earth and the Solar System
  • Milky Way galaxy, solar system, nebular hypothesis.
  • Size, shape, mass, and density of the Earth.
  • Kepler’s laws of planetary motion, internal heat, and radioactivity of the Earth.
2. Earth Materials, Surface Features & Processes
  • Minerals and Rocks: Rock-forming minerals, Igneous, Sedimentary, and Metamorphic rocks.
  • Weathering, erosion, transportation, and deposition by wind, water, and ice.
  • Geomorphic processes and landforms.
3. Interior of the Earth, Deformation & Tectonics
  • Crust, mantle, and core structure; Earth’s magnetic field and gravity.
  • Concept of Isostasy.
  • Plate Tectonics: Boundaries, mid-oceanic ridges, trenches, and island arcs.
  • Deformation structures: Folds, faults, joints, and unconformities.
4. Oceans and Atmosphere
  • Hypsography of ocean floors, ocean waves, tides, and currents.
  • Composition and structure of the atmosphere; Radiation budget.
  • General atmospheric circulation, monsoons, and cyclones.
5. Environmental Earth Sciences
  • Ecosystems, renewable and non-renewable energy resources.
  • Natural hazards: Earthquakes, tsunamis, volcanic eruptions, landslides, floods, and droughts.
  • Environmental pollution, waste management, and global climate change.
Part C: Advanced Disciplines (Specialized analytical sections)1. Geology
  • Mineralogy & Petrology: Silicate structures, phase equilibria, magma generation, metamorphic facies.
  • Structural Geology & Geotectonics: Stress-strain relationships, tectonic settings.
  • Sedimentology & Stratigraphy: Sedimentary basins, sequence stratigraphy, geological time scale of India.
  • Paleontology: Invertebrate/vertebrate fossils, microfossils, evolutionary trends.
  • Economic & Applied Geology: Ore genesis, coal and petroleum geology, Remote Sensing, GIS, and Hydrogeology.
2. Geography (Physical)
  • Geomorphology: Fluvial, glacial, eolian, karst, and coastal landscapes.
  • Climatology: Atmospheric moisture, air masses, fronts, Koppen’s and Thornthwaite’s climate classifications.
  • Biogeography & Environmental Geography: Soil profiles, ecosystems, world biomes.
  • Geography of India: Physiographic divisions, climate, vegetation, and natural resources.
3. Meteorology
  • Physical Meteorology: Cloud physics, atmospheric thermodynamics, convection, and boundary layer processes.
  • Dynamic Meteorology: Fundamental forces, equations of motion, vorticity, divergence, and numerical weather prediction.
  • Synoptic & Satellite Meteorology: Weather forecasting models, interpretation of satellite imagery, aviation meteorology.
4. Oceanography
  • Physical Oceanography: T-S diagrams, mixing processes, thermohaline circulation, wind-driven circulation.
  • Chemical Oceanography: Salinity, dissolved gases, carbonate system, nutrient cycles.
  • Geological Oceanography: Marine sediments, paleoceanography, sea-level changes.
  • Biological Oceanography: Primary productivity, marine ecosystems, and plankton dynamics.
5. Geophysics & Planetary Sciences
  • Geophysics: Signal processing, elastic wave theory, gravity/magnetic anomaly fields, seismic methods, well logging, electrical and electromagnetic prospecting.
  • Planetary Sciences: Comparative planetology, planetary atmospheres, surface features of the Moon, Mars, and Venus, impact cratering.

Joint CSIR-UGC NET: Life Sciences

Exam Pattern

ParticularsPart APart BPart CTotal
Total Questions205075145
Max Questions to Attempt15352575
Marks for Correct Answer224200
Negative Marking0.50.5125%

Syllabus

Core Unit No.Main Unit NameDetailed Topics & Key Concepts
1Molecules and their Interaction Relevant to Biology
  • Structure of atoms, molecules, and chemical bonds.
  • Biomolecules: Composition, structure, and function of Carbohydrates, Lipids, Proteins, Nucleic acids, and Vitamins.
  • Stabilizing interactions: Van der Waals, electrostatic, hydrogen bonding, and hydrophobic interactions.
  • Biophysical Chemistry: pH, buffers, reaction kinetics, thermodynamics, and colligative properties.
  • Bioenergetics: Glycolysis, oxidative phosphorylation, coupled reactions.
  • Enzymology: Principles of catalysis, enzyme kinetics, regulation, and isozymes.
  • Conformation of proteins (Ramachandran plot, secondary/tertiary structures) and nucleic acids (A, B, Z helices, t-RNA).
2Cellular Organization
  • Membrane Structure & Function: Lipid bilayer, membrane proteins, diffusion, osmosis, ion channels, active transport, and electrical properties.
  • Intracellular Organelles: Structure & function of cell wall, nucleus, mitochondria, Golgi bodies, lysosomes, ER, peroxisomes, plastids, and cytoskeleton.
  • Organization of Genes & Chromosomes: Operons, unique and repetitive DNA, interrupted genes, chromatin structure, transposons.
  • Cell Division & Cell Cycle: Mitosis, meiosis, and their molecular regulation (CDKs, Cyclins).
  • Microbial Physiology: Bacterial growth curve, cell division strategies, and stress response.
3Fundamental Processes (Molecular Biology)
  • DNA Replication & Repair: Replication origin, fork, enzymes involved, fidelity, DNA damage, and repair mechanisms.
  • RNA Synthesis & Processing: Transcription factors, RNA polymerases, capping, elongation, termination, RNA splicing, editing, and polyadenylation.
  • Protein Synthesis: Ribosome structure, genetic code, aminoacylation of tRNA, initiation, elongation, termination factors, and translational inhibitors.
  • Gene Expression Control: Regulation of phages, viruses, prokaryotic and eukaryotic gene expression, and gene silencing.
4Cell Communication and Cell Signaling
  • Host-Pathogen Interaction: Recognition and entry processes of viruses and bacteria.
  • Cell Signaling: Signaling pathways , regulation of signaling.
  • Cellular Communication: Cell adhesion molecules, gap junctions, extracellular matrix, integrins.
  • Cancer: Oncogenes, tumor suppressor genes, metastasis, apoptosis, and necrosis.
  • Innate & Adaptive Immune System: Cells and organs of the immune system, antigens, antibody diversity, MHC molecules, and monoclonal antibodies.
5Developmental Biology
  • Basic Concepts: Potency, commitment, specification, induction, competence, determination, and differentiation.
  • Gametogenesis & Fertilization: Spermatogenesis, oogenesis, and mechanisms of fertilization in animals.
  • Model Systems: Embryonic development in Drosophila, C. elegans, amphibians, and mammals.
  • Morphogenesis & Organogenesis: Axis formation, homeotic (Hox) genes, limb development, and floral development in Arabidopsis.
  • Stem Cells: Pluripotency, stem cell niches, and applications.
6System Physiology – Plant
  • Photosynthesis: Light-harvesting complexes, photophosphorylation, and CAM pathways, photorespiration.
  • Respiration & Photoassimilate Translocation: Glycolysis, TCA cycle, electron transport, phloem loading and unloading.
  • Phytohormones: Biosynthesis, storage, and mechanism

Joint CSIR-UGC NET: Mathematical Sciences

Exam Pattern

ParticularsPart APart BPart CTotal
Total Questions204060120
Max Questions to Attempt15252060
Marks for Correct Answer234.75200
Negative Marking0.50.75025% for A&B, No Neg for C

Syllabus

Unit No.Core DisciplinesDetailed Topics & Key Concepts
Unit 1Analysis
  • Real Analysis: Elementary set theory, countable/uncountable sets, Real number system as a complete ordered field, Archimedean property, supremum, infimum.
  • Sequences and Series: Convergence, limsup, liminf. Bolzano Weierstrass theorem, Heine Borel theorem.
  • Continuity & Differentiation: Continuity, uniform continuity, differentiability, Mean Value Theorem. Sequences and series of functions, uniform convergence.
  • Advanced Calculus: Riemann sums and Riemann integral, Improper Integrals. Monotonic functions, types of discontinuity, functions of bounded variation, Lebesgue measure, Lebesgue integral.
  • Functions of Multiple Variables: Directional derivative, partial derivative, derivative as a linear transformation, inverse and implicit function theorems.
  • Metric Spaces: Compactness, connectedness. Normed linear spaces, Spaces of continuous functions as examples.
Linear Algebra
  • Vector Spaces: Subspaces, linear dependence, basis, dimension, algebra of linear transformations.
  • Matrices: Algebra of matrices, rank and determinant of matrices, linear equations. Eigenvalues and eigenvectors, characteristic polynomial, Cayley-Hamilton theorem.
  • Advanced Matrix Theory: Matrix representation of linear transformations. Change of basis, canonical forms, diagonal forms, triangular forms, Jordan forms.
  • Inner Product Spaces: Inner product spaces, orthonormal basis. Quadratic forms, reduction and classification of quadratic forms.
Unit 2Complex Analysis
  • Algebra of complex numbers, the complex plane, polynomials, power series, analytic functions, Cauchy-Riemann equations.
  • Contour integral, Cauchy’s theorem, Cauchy’s integral formula, Liouville’s theorem, Maximum modulus principle, Schwarz lemma, Open mapping theorem.
  • Taylor series, Laurent series, calculus of residues.
  • Conformal mappings, Mobius transformations.
Algebra
  • Group Theory: Permutations, combinations, pigeon-hole principle, inclusion-exclusion principle, derangements. Groups, subgroups, normal subgroups, quotient groups, homomorphisms, cyclic groups, permutation groups, Cayley’s theorem, class equations, Sylow theorems.
  • Ring Theory: Rings, ideals, prime and maximal ideals, quotient rings, unique factorization domain, principal ideal domain, Euclidean domain.
  • Field Theory: Polynomial rings and irreducibility criteria. Fields, finite fields, field extensions, Galois Theory.
Topology
  • Basis, dense sets, subspace and product topology, separation axioms, connectedness and compactness.
Unit 3Ordinary Differential Equations (ODEs)
  • First-order ODEs (existence and uniqueness of solutions, singular solutions), system of first-order ODEs.
  • General theory of linear differential equations of higher order, method of variation of parameters, Sturm-Liouville boundary value problems, Green’s function.
Partial Differential Equations (PDEs)
  • Lagrange and Charpit methods for solving first-order PDEs, Cauchy problem for first-order PDEs.
  • Classification of second-order PDEs, General solution of higher-order PDEs with constant coefficients, Method of separation of variables for Laplace, Heat, and Wave equations.
Numerical Analysis
  • Numerical solutions of algebraic and transcendental equations (Bisection, Secant, and Newton-Raphson methods), fixed point iteration.
  • System of linear equations (Direct and iterative methods).
  • Interpolation (Lagrange, Newton’s divided difference). Numerical differentiation and integration (Trapezoidal rule, Simpson’s rules).
  • Numerical solutions of ODEs (Euler method, Runge-Kutta methods).
Calculus of Variations & Linear Integral Equations
  • Variation of a functional, Euler-Lagrange equation, Necessary and sufficient conditions for extrema.
  • Linear integral equations of Fredholm and Volterra type, their conversion to ODEs, and solutions using Fredholm determinants/Symmetric kernels.
Classical Mechanics
  • Generalized coordinates, Lagrange’s equations, Hamilton’s canonical equations, Hamilton’s principle and principle of least action, Canonical transformations, Poisson brackets.
Unit 4Mathematical Statistics
  • Probability: Sample space, discrete probability, conditional probability, Bayes’ theorem. Random variables, distribution functions (joint, marginal, conditional), mathematical expectation, moments, chebyshev’s inequality.
  • Probability Distributions: Bernoulli, Binomial, Poisson, Normal, Exponential, Chi-square, $t$, and $F$ distributions. Limit theorems (Weak Law of Large Numbers, Central Limit Theorem).
  • Statistical Inference: Estimation (Unbiasedness, consistency, efficiency, MLE). Testing of hypotheses (Neyman-Pearson lemma, Likelihood ratio tests).
Operational Research (OR)
  • Linear Programming Problems (LPP): Simplex method, duality. Transportation and assignment problems.
  • Game Theory: Two-person zero-sum games, methods of solution (graphical and LP programming).
  • Queuing Theory: Steady-state solutions of Markovian queuing models ($M/M/1$, $M/M/c$).

Joint CSIR-UGC NET: Physical Sciences

Exam Pattern

ParticularsPart APart BPart CTotal
Total Questions20253075
Max Questions to Attempt15202055
Marks for Correct Answer23.55200
Negative Marking0.50.8751.2525%

Syllabus

Subject CategorySubject DomainDetailed Core & Advanced Topics
Core Physics (Part B & C Domains)1. Mathematical Methods of Physics
  • Core: Vector algebra & calculus, Gauss’s, Green’s, and Stokes’ theorems. Linear algebra, matrices, Cayley-Hamilton Theorem. Linear differential equations (first & second order). Fourier series, Fourier and Laplace transforms.
  • Advanced: Complex analysis (analytic functions, residues, evaluation of integrals). Special functions (Hermite, Bessel, Laguerre, and Legendre). Partial differential equations (Laplace, wave, and heat equations). Elements of computational techniques, roots of equations, interpolation, numerical integration. Introductory group theory.
2. Classical Mechanics
  • Core: Newton’s laws, dynamical systems, phase space dynamics, stability analysis. Central force motions. Generalized coordinates, Lagrangian and Hamiltonian formalisms, cyclic coordinates. Periodic motion (small oscillations, normal modes). Rigid body dynamics.
  • Advanced: Poisson brackets and canonical transformations. Symmetry principles and Noether’s theorem. Hamilton-Jacobi theory. Special theory of relativity (Lorentz transformations, relativistic kinematics, and mass-energy equivalence).
3. Electromagnetic Theory (EMT)
  • Core: Electrostatics: Gauss’s law, Laplace and Poisson equations, boundary value problems. Magnetostatics: Biot-Savart law, Ampere’s theorem. Electromagnetic induction. Maxwell’s equations in free space and linear isotropic media. Boundary conditions on fields at interfaces.
  • Advanced: Scalar and vector potentials, gauge invariance. Electromagnetic waves in free space, dielectrics, and conductors. Reflection, refraction, polarization, and Fresnel’s law. Transmission lines and waveguides. Dynamics of charged particles in static and uniform electromagnetic fields. Radiation from moving charges & dipoles.
4. Quantum Mechanics
  • Core: Wave-particle duality. Schrödinger equation (time-dependent and time-independent). Eigenvalue problems (particle in a box, harmonic oscillator, tunneling through a barrier). Wave function in coordinate and momentum representations. Commutators and Heisenberg Uncertainty Principle. Orbital angular momentum, angular momentum algebra.
  • Advanced: Stern-Gerlach experiment, spin. Addition of angular momenta. Time-independent perturbation theory and variational method. Time-dependent perturbation theory and Fermi’s golden rule. Selection rules. Identical particles, Pauli exclusion principle. Klein-Gordon and Dirac equations. Elementary scattering theory (phase shifts, Born approximation).
5. Thermodynamic & Statistical Physics
  • Core: Laws of thermodynamics and their consequences. Thermodynamic potentials, Maxwell relations, chemical potential, phase equilibria. Phase space, micro- and macro-states. Micro-canonical, canonical, and grand-canonical ensembles and partition functions. Free energy and connection with thermodynamic quantities. First- and second-order phase transitions.
  • Advanced: Classical and quantum statistics, Ideal Bose and Fermi gases. Principle of detailed balance. Blackbody radiation and Planck’s distribution law. Bose-Einstein condensation. Diamagnetism, paramagnetism, and ferromagnetism. Einstein & Debye models for lattice heat capacity. Random walk, Brownian motion, and Diffusion equation.
6. Electronics & Experimental Methods
  • Core: Semiconductor devices (diodes, junctions, transistors, field-effect devices, homo- and hetero-junction structure). Operational amplifiers (Op-Amps) and their linear/non-linear applications. Digital electronics (logic gates, sequential circuits, flip-flops, counters, registers). A/D and D/A converters.
  • Advanced: Microprocessor and microcontroller basics. High-frequency devices. Error analysis, propagation of errors, least-squares fitting. Transducers (temperature, pressure, vacuum, magnetic fields, optical, and particle detectors). Measurement and control signaling. Fourier transform spectroscopy, lock-in detectors, low-temperature techniques.
Advanced Physics (Exclusively Part C)7. Atomic & Molecular Physics
  • Quantum states of an electron in an atom. Electron spin. Spectrum of helium and alkali atoms. Relativistic corrections for energy levels of hydrogen; fine structure and hyperfine structure. Stark, Zeeman, and Paschen-Bach effects.
  • L-S & J-J couplings. Frank-Condon principle.
  • Rotational, vibrational, and electronic spectra of diatomic molecules. Born-Oppenheimer approximation. Raman effect (rotational & vibrational). Electronic spectra. NMR, ESR, and Mossbauer spectroscopy. Lasers (Einstein coefficients, population inversion, optical pumping).
8. Condensed Matter Physics
  • Crystalline state, Bravais lattices, crystal structures, Miller indices. Bragg’s law and X-ray diffraction. Reciprocal lattice.
  • Bonding of solids. Lattice vibrations and thermal properties. Free electron theory and electronic specific heat. Band theory of solids: metals, insulators, and semiconductors.
  • Dielectric properties of materials. Dia-, para-, and ferro-magnetism (Langevin, Weiss, and Neel theories). Superconductivity: Type-I and Type-II superconductors, BCS theory, Josephson junctions. Defects and dislocations.
9. Nuclear and Particle Physics
  • Basic nuclear properties: size, shape, charge, spin, parity, binding energy, semi-empirical mass formula. Liquid drop model, Nature of the nuclear force, nuclear potential, nucleon-nucleon scattering.
  • Nuclear shell model: magic numbers, spin-parity assignments, magnetic moments.
  • Rotational spectra. Radioactive decay: Alpha, Beta, and Gamma decays, Fermi theory of beta decay. Nuclear reactions (fission and fusion).
  • Classification of fundamental forces and elementary particles (quarks, leptons, gauge bosons). Quark model, baryons, and mesons. C, P, and T discrete symmetries, Gell-Mann-Nishijima formula.

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