Unit 5 — Atomic & Molecular Physics; Nuclear & Particle Physics
Unit 5 of the TRB (Tamil Nadu Teachers Recruitment Board) Physical Sciences syllabus: Atomic & Molecular Physics; Nuclear & Particle Physics. Major areas covered: Quantum states of atoms; Electron spin; Spectrum of He, alkali atoms; Fine & hyperfine structure; LS/JJ coupling; Zeeman/Paschen-Back/Stark effects; ESR/NMR; Frank-Condon; Born-Oppenheimer; Diatomic spectra (rotational, vibrational, Raman); Lasers (Einstein A/B, population inversion); Nuclear properties (size, spin, parity, binding energy); SEMF; Liquid drop & shell models; Alpha/beta/gamma decay; Fission, fusion; Nuclear reactions; Fundamental forces; Quark model; CPT; Conservation laws; Relativistic kinematics. Suggested weightage: 20%. Topics include: Bohr's model, Lande g-factor, Russell-Saunders, term symbols, selection rules, Einstein coefficients, Weizsacker formula, magic numbers, Gamow factor, Gell-Mann-Nishijima, SU(3) flavour symmetry, parity violation in $\beta$-decay.
Chapters
- Atomic Structure
- Fine Structure
- Hyperfine Structure
- Term Symbols
- Coupling Schemes
- External Fields
- Magnetic Resonance
- Molecular Physics
- Molecular Spectra
- Lasers
- Nuclear Properties
- Nuclear Models
- Nuclear Force
- Radioactive Decay
- Nuclear Reactions
- Elementary Particles
- Quantum Numbers
- Symmetries
- Relativistic Kinematics
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Unit 4 — Thermodynamic & Statistical Physics; Condensed Matter Physics
Unit 4 of the TRB (Tamil Nadu Teachers Recruitment Board) Physical Sciences syllabus: Thermodynamic & Statistical Physics; Condensed Matter Physics. Major areas covered: Laws of thermodynamics; Thermodynamic potentials; Maxwell relations; Phase equilibria; Phase space; Ensembles (microcanonical, canonical, grand canonical); Partition functions; Classical & quantum statistics (MB, BE, FD); Bose-Einstein condensation; Blackbody radiation; Phase transitions; Ising model; Diffusion; Brownian motion; Bravais lattices; Reciprocal lattice; Phonons; Free electron theory; Band theory; Hall effect; Superconductivity; Superfluidity; Liquid crystals. Suggested weightage: 20%. Topics include: Carnot cycle, Clausius-Clapeyron, Gibbs free energy, BE/FD distributions, Planck's law, Curie-Weiss, Brillouin zones, Debye/Einstein models, BCS theory, Meissner effect, Josephson junction.
Chapters
- Thermodynamics
- Thermodynamic Potentials
- Phase Transitions
- Statistical Mechanics
- Quantum Statistics
- Radiation
- Magnetism
- Non-equilibrium
- Crystallography
- Diffraction
- Lattice Dynamics
- Electronic Properties
- Band Theory
- Superconductivity
- Other Phases
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Unit 3 — Electronics and Experimental Methods
Unit 3 of the TRB (Tamil Nadu Teachers Recruitment Board) Physical Sciences syllabus: Electronics and Experimental Methods. Major areas covered: Semiconductor devices (diodes, BJT, FET, MOSFET); Opto-electronics (LED, solar cell, photodetector); Op-amps; Digital electronics (registers, counters, A/D-D/A); Microprocessors/microcontrollers; Transducers; Signal conditioning (instrumentation amp, lock-in, boxcar); Noise reduction; Fourier transforms; Curve fitting; Error analysis. Suggested weightage: 20%. Topics include: PN junction, depletion region, BJT biasing, Karnaugh maps, 8085/8051 architecture, R-2R ladder DAC, SAR ADC, lock-in amplifier, $\chi^2$ fitting, error propagation.
Chapters
- Semiconductor Devices
- Opto-electronics
- Op-Amps
- Digital Electronics
- A/D and D/A
- Microprocessors
- Microcontrollers
- Signal Conditioning
- Transducers
- Error Analysis
- Curve Fitting
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Unit 2 — Electromagnetic Theory; Quantum Mechanics
Unit 2 of the TRB (Tamil Nadu Teachers Recruitment Board) Physical Sciences syllabus: Electromagnetic Theory; Quantum Mechanics. Major areas covered: Electrostatics (Laplace/Poisson, boundary value); Magnetostatics; Maxwell's equations; EM waves; Poynting; Gauge invariance; Radiation; Dielectrics; Wave-particle duality; Schrödinger equation; Eigenvalue problems; Harmonic oscillator; Tunneling; Angular momentum algebra; Hydrogen atom; Perturbation theory; WKB; Identical particles; Scattering theory; Relativistic QM. Suggested weightage: 20%. Topics include: Method of images, multipole expansion, Fresnel equations, retarded potentials, Lienard-Wiechert, ladder operators, Clebsch-Gordan, Born approximation, partial waves, Klein-Gordon, Dirac equation.
Chapters
- Electrostatics
- Magnetostatics
- Maxwell's Equations
- EM Waves
- Energy & Momentum
- Potentials
- Radiation
- Reflection & Refraction
- Waveguides
- Wave-Particle Duality
- Schrödinger Equation
- Solvable Systems
- Operators
- Angular Momentum
- Hydrogen Atom
- Perturbation Theory
- Variational Method
- Selection Rules
- Identical Particles
- WKB Approximation
- Scattering
- Relativistic QM
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Unit 1 — Mathematical Methods of Physics; Classical Mechanics
Unit 1 of the TRB (Tamil Nadu Teachers Recruitment Board) Physical Sciences syllabus: Mathematical Methods of Physics; Classical Mechanics. Major areas covered: Vector calculus & integral theorems; Linear algebra & eigenvalues; ODE/PDE (Laplace/Wave/Heat); Special functions (Hermite/Bessel/Legendre/Laguerre); Fourier & Laplace transforms; Complex analysis (residues); Probability & distributions; Tensors; Group theory SU(2)/O(3); Newtonian, Lagrangian, Hamiltonian mechanics; Central forces; Rigid body dynamics; Small oscillations; Special relativity; Canonical transformations & Poisson brackets. Suggested weightage: 20%. Topics include: Stokes/Gauss/Green theorems, Cayley-Hamilton, Frobenius method, Bessel/Legendre orthogonality, Cauchy residue theorem, RK4, Lagrange-Euler equation, generating functions, normal modes, Lorentz transformations, action-angle variables.
Chapters
- Vector Calculus
- Linear Algebra
- ODE
- Special Functions
- PDE
- Computational
- Fourier
- Complex Analysis
- Probability
- Tensors
- Group Theory
- Newtonian Mechanics
- Central Force Motion
- Scattering
- Rigid Body
- Non-inertial Frames
- Lagrangian
- Hamiltonian
- Oscillations
- Special Relativity
- Canonical Transformations
- Hamilton-Jacobi
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