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UPSC EXAM SYLLABUS- PHYSICS

​PAPER-I

1. (a)  Mechanics of Particles : Laws of motion; conservation of energy and momentum, applications to rotating frames, centripetal and Coriolis accelerations; Motion under a central force; Conservation of angular momentum, Kepler’s laws; Fields and potentials; Gravitational field and potential due to spherical bodies, Gauss and Poisson equations, gravitational self-energy; Two-body problem; Reduced mass; Rutherford scattering; Centre of mass and laboratory reference frames.
(b) Mechanics of Rigid Bodies : System of particles; Centre of mass, angular momentum, equations of motion; Conservation theorems for energy, momentum and angular momentum; Elastic and inelastic collisions; Rigid Body; Degrees of freedom, Euler’s theorem, angular velocity, angular momentum, moments of inertia, theorems of parallel and perpendicular axes, equation of motion for rotation; Molecular rotations (as rigid bodies); Di and triatomic molecules; Precessional motion; top, gyroscope.
(c)  Mechanics of Continuous Media : Elasticity, Hooke’s law and elastic constants of isotropic solids and their inter-relation; Streamline (Laminar) flow, viscosity, Poiseuille’s equation, Bernoulli’s equation, Stokes’ law and applications.
(d)  Special Relativity : Michelson-Morely experiment and its implications; Lorentz transformations length contraction, time dilation, addition of relativistic velocities, aberration and Doppler effect, mass-energy relation, simple applications to a decay process. Four dimensional momentum vector;  Covariance of equations of physics.

2. Waves and Optics :
(a)  Waves : Simple harmonic motion, damped oscillation, forced oscillation and resonance; Beats;  Stationary waves in a string; Pulses and wave packets; Phase and group velocities; Reflection and refraction from Huygens’ principle.
(b) Geometrial Optics : Laws of reflection and refraction from Fermat’s principle; Matrix method in paraxial optic-thin lens formula, nodal planes, system of two thin lenses, chromatic and spherical aberrations.
(c)  Interference : Interference of light -Young’s experiment, Newton’s rings, interference by thin films, Michelson interferometer; Multiple beam interference and Fabry Perot interferometer. (d)  Diffraction : Fraunhofer diffraction - single slit, double slit, diffraction grating, resolving power;  Diffraction by a circular aperture and
the Airy pattern; Fresnel  diffraction: half-period zones and zone plates, circular aperture.
(e) Polarisation and Modern Optics : Production and detection of linearly and circularly polarized light;  Double refraction, quarter wave plate;  Optical activity; Principles of fibre optics, attenuation; Pulse dispersion in step index and parabolic index fibres; Material dispersion, single mode fibers; Lasers-Einstein A and B coefficients. Ruby and He-Ne lasers. Characteristics of laser light-spatial and temporal coherence; Focusing  of laser beams. Three-level scheme for laser operation; Holography and simple applications.

3. Electricity and Magnetism :
(a) Electrostatics and Magnetostatics : Laplace and Poisson equations in electrostatics and their applications; Energy of a system of charges, multipole expansion of scalar potential; Method of images and its applications. Potential  and field due to a dipole, force and torque  on a dipole in an external field; Dielectrics, polarisation. Solutions to boundary-value problems-conducting and dielectric  spheres in a uniform electric field; Magnetic shell, uniformly magnetised sphere; Ferromagnetic materials, hysteresis, energy loss.
(b) Current Electricity : Kirchhoff's laws and their applications. Biot-Savart law, Ampere’s law, Faraday’s law, Lenz’ law. Self-and mutualinductances; Mean and rms values in AC circuits; DC and AC circuits with R,  L and C  components; Series and parallel resonance; Quality factor; Principle of transformer.

4. Electromagnetic Waves and  Blackbody Radiation : Displacement current and Maxwell’s equations; Wave equations in vacuum, Poynting theorem; Vector and scalar potentials; Electromagnetic field tensor, covariance of Maxwell’s equations; Wave equations in isotropic dielectrics, reflection and refraction at the boundary of two dielectrics; Fresnel’s relations; Total internal reflection; Normal and anomalous dispersion; Rayleigh scattering; Blackbody radiation and Planck ’s radiation law- Stefan-Boltzmann law, Wien’s  displacement law and Rayleigh-Jeans law.

5. Thermal and Statistical Physics :
(a) Thermodynamics : Laws of thermodynamics, reversible and irreversible processes, entropy; Isothermal, adiabatic, isobaric, isochoric processes and entropy changes; Otto and Diesel engines, Gibbs’ phase rule and chemical potential; Van der Waals equation of  state of a real gas, critical constants; MaxwellBoltzmann distribution of molecular velocities, transport phenomena, equipartition and virial theorems; Dulong-Petit, Einstein, and Debye’s theories of specific heat of solids; Maxwell relations and application; Clausius-Clapeyron equation. Adiabatic demagnetisation, Joule-Kelvin effect and liquefaction of gases.
(b) Statistical Physics : Macro and micro states, statistical distributions, Maxwell-Boltzmann, Bose-Einstein and Fermi-Dirac Distributions, applications to specific heat of gases and blackbody radiation; Concept of negative temperatures.
​​PAPER-II

1. Quantum Mechanics : Wave-particle duality; Schroedinger equation and expectation values; Uncertainty principle; Solutions of the one-dimensional Schroedinger equation for free particle (Gaussian wave-packet), particle in a box, particle in a finite well, linear harmonic oscillator; Reflection and transmission by a step potential and by a rectangular barrier; Particle in a three dimensional box, density of states, free electron theory of metals; Angular momentum; Hydrogen atom; Spin half particles, properties of Pauli spin matrices.

2.   Atomic and Molecular Physics : Stern-Gerlach experiment, electron spin, fine structure of hydrozen atom;  L-S coupling, J-J coupling;  Spectroscopic notation of atomic states; Zeeman effect; Franck-Condon principle and applications; Elementary theory of rotational, vibrational and electronic spectra of diatomic molecules; Raman effect and molecular structure; Laser Raman spectroscopy; Importance of neutral hydrogen atom, molecular hydrogen and molecular hydrogen ion in astronomy. Fluorescence and Phosphorescence; Elementary theory and applications of NMR and EPR; Elementary ideas about  Lamb shift and its significance.

3.  Nuclear and  Particle Physics : Basic nuclear properties-size, binding energy, angular momentum, parity, magnetic moment; Semi-empirical mass formula and applications. Mass parabolas; Ground state of a deuteron, magnetic moment and non-central forces;  Meson theory of nuclear forces; Salient features of nuclear forces; Shell model of the nucleus - success and limitations; Violation of parity in beta decay; Gamma decay and internal conversion; Elementary ideas about Mossbauer spectroscopy; Q-value of nuclear reactions; Nuclear fission and fusion, energy production in stars. Nuclear reactors. Classification of elementary particles and their interactions; Conservation laws; Quark structure of hadrons : Field quanta of electroweak and strong interactions; Elementary ideas about unification of forces; Physics of neutrinos.

4. Solid State Physics, Devices and Electronics : Crystalline and amorphous structure of matter; Different crystal systems, space groups; Methods of determination of crystal structure; X-ray diffraction, scanning and transmission electron microscopies; Band theory of solids—conductors, insulators and semi-conductors; Thermal properties of solids, specific heat, Debye theory; Magnetism: dia, para and ferromagnetism; Elements of super-conductivity, Meissner effect, Josephson junctions and applications; Elementary ideas about high temperature super-conductivity. Intrinsic and extrinsic semi-conductors- p-n-p and n-p-n transistors; Amplifiers and oscillators. Op-amps; FET, JFET and MOSFET; Digital electronics-Boolean identities, De Morgan’s laws, Logic gates and truth tables. Simple logic circuits; Thermistors, solar cells; Fundamentals of microprocessors and digital computers.
​
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  • HOME
    • OVERVIEW OF UPSC
    • A BRAIN WORK INTO THE UPSC SYLLABUS
    • UPSC PRELIMINARY EXAM SYLLABUS
    • UPSC MAIN EXAM SYLLABUS >
      • UPSC EXAM SYLLABUS- AGRICULTURE
      • UPSC EXAM SYLLABUS- ANIMAL HUSBANDRY AND VETERINARY SCIENCE
      • UPSC EXAM SYLLABUS- ANTHROPOLOGY
      • UPSC EXAM SYLLABUS- BOTANY
      • UPSC EXAM SYLLABUS- CHEMISTRY
      • UPSC EXAM SYLLABUS- GEOLOGY
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      • UPSC EXAM SYLLABUS- GEOGRAPHY
      • UPSC EXAM SYLLABUS- COMMERCE AND ACCOUNTING
      • UPSC EXAM SYLLABUS- ECONOMICS
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      • UPSC EXAM SYLLABUS- HISTORY
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      • UPSC EXAM SYLLABUS- MANAGEMENT
      • UPSC EXAM SYLLABUS- MATHEMATICS
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      • UPSC EXAM SYLLABUS- PHILOSOPHY
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      • UPSC EXAM SYLLABUS- POLITICAL SCIENCE AND INTERNATIONAL RELATIONS
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      • UPSC EXAM SYLLABUS- SOCIOLOGY
      • UPSC EXAM SYLLABUS- STATISTICS
      • UPSC EXAM SYLLABUS- ZOOLOGY
    • THE COMBINED GEOSCIENTIST AND GEOLOGIST EXAMINATION SYLLABUS
    • COMBINED MEDICAL SERVICES EXAMINATION SYLLABUS
    • JOINT ENTRANCE EXAMINATION
    • OPTIONAL SUBJECTS OF UPSC EXAM TOPPERS
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    • UPSC INDIAN FOREST SERVICE >
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      • GEN. STUDIES- INDIA PAGE 5
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