Civil Service Physics Main Exam Paper One Syllabus
PAPER-1
SECTION-A
1.(a) Mechanics of Particles:
Laws of motion;concervation 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,gratitational self-energy ;Two –body problem; Reduced mass;Rutheerford 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 intertia,theorems of parallel and perpendicular axed, equation of motion for rotation; Molecular rotations (as rigid bodies): Di and tri-atomic molecules; recessional 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 ,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 Huygen’s 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 aberration
(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 diffract tion:half-period zones 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 fiber 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
Sections-B
3. Electricity and Magnetism
(a) Electrostatics and Magneto statics
Laplace and poisson equations in electrostatics and their applications; Energy of a system of charge multiple expansion of scalar potential; Method of images and its applications; Potential and field due to a dipole, force and torque on a dipole ion 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 rms 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 in vacuum,’Poynting theorem vector and scalar potentials; Electromagnetic field tensor, covariance of Maxwell’s equations; Wave equation in isotropic dielectrics, reflection and refraction at the boundary of two dielectrics;Fresnel;s relations; Total internal reflection ;Normal and anomalous dispersion;Ryleigh scattering Blackbody radiation and Planck’s radiation law, Stefan-Boltzmann law, Wien’s displacement law and Rayleigh –Jean’s ‘law
4. 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; Vander 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 demagnetization, Joule-Kelvin effect and liquefaction of gases
(b) Statistical Physics
Macro and micro states, statiscal distributions, Maxwell-Boltzmann, Bose-Einstein and Fermi-Dirac distributions ,applications to specific heat of gases and blackbody radiation; Concept of negative temperatures.
PAPER-1
SECTION-A
1.(a) Mechanics of Particles:
Laws of motion;concervation 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,gratitational self-energy ;Two –body problem; Reduced mass;Rutheerford 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 intertia,theorems of parallel and perpendicular axed, equation of motion for rotation; Molecular rotations (as rigid bodies): Di and tri-atomic molecules; recessional 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 ,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 Huygen’s 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 aberration
(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 diffract tion:half-period zones 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 fiber 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
Sections-B
3. Electricity and Magnetism
(a) Electrostatics and Magneto statics
Laplace and poisson equations in electrostatics and their applications; Energy of a system of charge multiple expansion of scalar potential; Method of images and its applications; Potential and field due to a dipole, force and torque on a dipole ion 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 rms 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 in vacuum,’Poynting theorem vector and scalar potentials; Electromagnetic field tensor, covariance of Maxwell’s equations; Wave equation in isotropic dielectrics, reflection and refraction at the boundary of two dielectrics;Fresnel;s relations; Total internal reflection ;Normal and anomalous dispersion;Ryleigh scattering Blackbody radiation and Planck’s radiation law, Stefan-Boltzmann law, Wien’s displacement law and Rayleigh –Jean’s ‘law
4. 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; Vander 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 demagnetization, Joule-Kelvin effect and liquefaction of gases
(b) Statistical Physics
Macro and micro states, statiscal distributions, Maxwell-Boltzmann, Bose-Einstein and Fermi-Dirac distributions ,applications to specific heat of gases and blackbody radiation; Concept of negative temperatures.
No comments:
Post a Comment