Rajasthan Public Service Commission (RPSC)
Syllabus
Physics - Mathematical Physics and Classical Mechanics :
Vector spaces, Matrices, Second order differential equations, Fourier and Laplace transforms.
Basic principles of Classical dynamics Concept of mass and Newton's laws of motion. Galilean transformations.
Langrangian and Hamiltonian formalism, Conservation laws, rotating frames, central force, canonical transformation, Poission bracket and Poission theorem, small oscillations, normal modes. Special theory of relativity, time dilation, length contraction, mass-energy equivalence.
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- Electricity and Magnetism :
Laplace and Poisson equations and their applications, Ampere's law, Biot- Savart law, Faraday's laws of electromagnetic induction, LCR circuits, Alternating currents. Maxwell's equations, scalar and vector Potential. Concepts of interference and diffractions using wave theory. Electromagnetic waves - Reflection, refraction, dispersion and Polarization. Radiation from moving charge and radiation from dipole, concepts of wave guides.
- Thermodynamics and Statistical Physics :
Laws of thermodynamics, thermodynamic potential and Maxwell's relations, Chemical potential Phase equilibrium, Free energy and connection with thermodynamic quantities - Density matrix, statistics of indistinquishable particles, Maxwell - Boltzman, Fermi -Dirac and Bose - Einstein Statistics, properties of ideal Bose and Fermi : gases, Bose - Einstein condensation.
- Quantum Physics :
Wave - Particle duality, Heisenberg's uncertainty principle, Schrodinger equation for spherically symmetric potential . Hydrogen atom . Angular momentum Angular momentum algebra, spin, time dependent and time . - independent perturbation theory, Elementry theory of scattering in a central potential, Partial wave and phase - shift analysis . Identical Particle and spin statistics.
- Electronics :
Physics of P-N junction, Diode as a circuit element, clipping and clamping, Rectification, Zener regulated power supply Transistor as a circuit element, CC, CB and CE configuration, Transistor as a switch, OR, AND and NOT gates, Feedback in amplifiers.
Operational amplifiers and its applications, inverting and non-inverting amplifiers, adder, integrator differentiator, wave form generator, comparator, Schmidt trigger. Digital integrated circuits : NAND and NOR gates as building blocks, X-OR gate, Half and Full adder circuits Flip - Flops, counters and registers.
- Atomic and Molecular Physics :
Quantum states of an electron in an atom, hydrogen atom spectra, Pauli's Principle, Spin - Orbit interactions Zeeman effect, Paschen - Back effect, Stark effect, LS and JJ coupling, Hyperfine structure. X-ray and Auger transitions, Compton effect. Rotational and Vibrational spectra, Raman spectra, Selection rules, Isotope effects, Electronic states of diatomic molecules, Frank - Condon Principle. Lasers, optical pumping and Population inversion, temporal and spatial coherence He - Ne laser.
- Solid State Physics :
Crystal structure - Crystal classes and systems, 2D and 3D lattices, Miller Indices, Reciprocal lattices, diffraction and structure factor. Lattice Vibrations, Phonons, specific heat of solids, Free electron theory, Energy band. Semi conductors - statistics of pure and impure semi conductors, Electrical Conductivity and its temperature dependance, Recombination mechanism. Hall - effect. Optical transitions, Photo conductivity and luminescense. Super conductivity, Diamagnatism and Para magnetism, Ferromagnetism and anti ferromagnetism.
NMR, ESR and Mossbauer effect, Lattice defects, Amorphous solids .
- Nuclear and Particle Physics :
Basic nuclear properties - Size , shape, charge distribution, spin, parity, binding energy. Emperical mass formula, liquid drop model. Nature of nuclear force, Nuclear shell structure, Collective model, Interaction of charged particles and electromagnetic waves with matter. Basic principles of Nuclear detectors - Ionization Chamber, Proportional Counter, GM counter. Scintillation detector and Semi conductor detectors. Radioactive decays, Nuclear reaction. Elementry idea of Fission, fusion and Nuclear reactors, Radiation safety. Types of interaction between elementary particles, symmetry and conservation laws, Elementry ideas of CP, CPT invariance, classification of hadrons, SU(2) and SU(3) multiplets, Quark model.
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