### Introduction

Civil Services Exam is also known as one of the toughest exams, and all the jobs of civil services are directly related to public service, and it is one of the most prestigious things in India. UPSC is the organization which conducts the Civil Service Exams for Central Government Job Vacancies. Civil Services has a total of 24 services which are under the Civil Services Exam conducted by organization UPSC each year. Some of the services are IAS (Indian Administrative Service), IFS (Indian Foreign Service), IPS (Indian Police Service).

It is popularly known as IAS exam, and the official name is UPSC Civil Services exam and is one of the toughest exams in India. Every Year around 5 lakh candidates appears for the exam. Physics is one of the subjects for the exam, and it lets the candidate answer objectively. You may find that answers are not open for interpretation and hence the possibility to score well in the exam is high. Some of the advantages of using physics as an optional subject are in physics most of the problems are numerically based which boost the scores if a person practices well and is well versed. Most of the questions are illustrated with diagrams and charts which help people to understand questions well.

## Paper – I: Physics Syllabus

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 tri-atomic 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-Morley experiment and its implications; Lorentz transformations-length contraction, time dilation, the 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.

1. 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) Geometrical Optics: Laws of reflection and refraction from Fermat’s principle; Matrix method in paraxial optics-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) Polarization 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 fibres; 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.

1. 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, polarization; Solutions to boundary-value problems-conducting  and dielectric spheres in a uniform  electric field; Magnetic shell, uniformly magnetized 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 mutual-inductances; Mean and r m s values in AC circuits;  DC and AC circuits with R, L and C  components; Series and parallel resonances;  Quality factor; Principle of transformer.

(c) 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.

1. 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; Maxwell-Boltzman 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 applications; Clausius- Clapeyron equation; Adiabatic demagnetisation, Joule-Kelvin effect and liquefaction of gases.

(b) Statistical Physics: Macro and microstates, statistical distributions, Maxwell-Boltzmann, Bose-Einstein and Fermi-Dirac distributions, applications to the specific heat of gases and blackbody radiation; Concept of negative temperatures.

### PAPER-II: Physics Syllabus

1. Quantum Mechanics: Wave-particle duality; Schroedinger equation and expectation values; Uncertainty principle; Solutions of the one-dimensional Schroedinger equation for a 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 hydrogen atom; L-S coupling, J-J coupling; Spectroscopic notation of atomic states; Zeeman effect; Frank- 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 deuteron, magnetic moment and non-central forces; Meson theory of nuclear forces; Salient features of nuclear forces; Shell model of the nucleus – successes 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 semiconductors; Thermal properties of solids, specific heat, Debye theory; Magnetism: dia, para and ferromagnetism; Elements of superconductivity, Meissner effect, Josephson junctions and applications; Elementary ideas about high temperature superconductivity. Intrinsic and extrinsic semiconductors; pn- 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.