1. Mechanics and Waves- Dimensional analysis . Newton’s laws of motion and applications, variable mass systems, projectiles. Rotational dynamics- kinetic energy , angular momentum , theorems of moment of intertia and calculations in simple cases, Conservative forces, frictional forces. Gravitaional potential and intensity due to spherical objects. Central forces, Kepler’s problem, escape velocity and artificial satellites (including GPS) . Stremline motion , viscosity , Poiseuille’s equation . Applications of Bernoulli’s equation and Stokes ‘ law.
Special relativity and Lorentz transformation – length , time dilation , mass – energy relation.
Simple harmonic motion ,Lissajous figures. Damped oscillation , forced oscillation and resonance . Beats , phase and group velocities . Stationary waves, vibration of strings and air columns , longitudinal waves in solids Doppler effect. Ultrasonics and applications.
2. Geometrical and physical Optics- Low 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. Simple optical instruments magnifer, eyepieces, telescopes and microscopes.
Huygen’s principle reflection and refraction of waves . Interference of light – Young’s experiment ,Newton ‘s rings , interference by thin films , Michelson interferometer. Fraunhofer diffraction – single slit, double slit, diffraction grating , resolving power. Fresnel diffraction – half –period zones and zone plate. Production and detection of linearly , circularly and elliptically polarized light .Double refraction, quarter- waves plates and half- waves plates. Polarizing sheets . Optical activity and applications . Rayleigh scattering and applications.
Elements of fibre optics – attenuation; pulse dispersion in step index and parabolic index fibres; material dispersion . Lasers, characteristics of laser light – spatial and temporal coherence. Focussing of laser beams and applications.
3. Heat and Thermodynamics- Thermal equilibrium and temperature . The zeroth law of thermodynamics . Heat and the first law of thermodynamics . Efficiency of Carnot engines. Entropy and the second law of thermodynamics . Kinetic theory and the equation of state of an ideal gas. Mean free path , distribution of molecular speeds and energies . Transport phenomena. Andrew’s experiements – van der Waals equation and applications . Joule – Kelvin effect and applications . Brownian motion. Thermodynamic potentials- Maxwell relations .Phase transition . Kirchhoff’s laws .Black- body radiation – Stefan – Boltzmann law spectral radiancy ,Wien displacement law, application to the cosmic microwave background radiation , Planck radiation law.
4. Electricity and Magnetism- Electric charge, Coulomb’s law, electric field , Gauss ‘ law . Electric potential ‘ van de Graff accelerator Capacitors , dielectrics and polarization . Ohm’s law , Kirchhoff’s first and second rules , resistors in series and parallel, applications of two – loop circuits . Magnietic field – Gauss’ law for magnetism, atomic and nuclear magnetism , magnetic susceptibility , classification of magnetic materials. Cirulating charges , cyclotron, synchrotron. Hall effect. Biot- Savart law, Ampere’s law , Faraday’s law of induction , Lenz’s Inductance. Alternating current circuits – RC, LR, single – loop LRC circuits , impedance , resonance , power in AC circuits . Displacement current , Maxwell’s equations (MKS units), electromagnetic waves , energy transport and pointing vector.
5. Atomic and Nuclear Physics- Photoelectric effect. Einstein’s photon theory ,Bohr’s theory of hydrogen atom. Stern- Gerlach experiment , quantization of angular momentum, electron spin . Pauli exclusion principle and applications . Zeeman effect, X-ray spectrum. Bragg’s law , Bohr’s theory of the Mosley plot. Compton effect, Compton wavelength. Wave nature of matter, de Broglie wavelength , wave – particle duality . Heisenberg’s uncertainty relationship . Schroedinger’s equation – eigenvalues and eigenfunctions of (i) particle in a box (ii) simple harmonic oscilltor and (iii) hydrogen atom. Potential step and barrier penetration . Natural and artificial radioactivity . Binding energy of nuclei , nuclear fission and fusion . Classification of elementary particles and their interactions.
6. Electronics- Diodes in half – waves and full – wave rectification , qualitative ideas of semicondutors, p type and n type semiconductors, junction diode, Zener diode , transistors, number , Logic gates and truth tables, Elements of microprocessors and computers.
Special relativity and Lorentz transformation – length , time dilation , mass – energy relation.
Simple harmonic motion ,Lissajous figures. Damped oscillation , forced oscillation and resonance . Beats , phase and group velocities . Stationary waves, vibration of strings and air columns , longitudinal waves in solids Doppler effect. Ultrasonics and applications.
2. Geometrical and physical Optics- Low 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. Simple optical instruments magnifer, eyepieces, telescopes and microscopes.
Huygen’s principle reflection and refraction of waves . Interference of light – Young’s experiment ,Newton ‘s rings , interference by thin films , Michelson interferometer. Fraunhofer diffraction – single slit, double slit, diffraction grating , resolving power. Fresnel diffraction – half –period zones and zone plate. Production and detection of linearly , circularly and elliptically polarized light .Double refraction, quarter- waves plates and half- waves plates. Polarizing sheets . Optical activity and applications . Rayleigh scattering and applications.
Elements of fibre optics – attenuation; pulse dispersion in step index and parabolic index fibres; material dispersion . Lasers, characteristics of laser light – spatial and temporal coherence. Focussing of laser beams and applications.
3. Heat and Thermodynamics- Thermal equilibrium and temperature . The zeroth law of thermodynamics . Heat and the first law of thermodynamics . Efficiency of Carnot engines. Entropy and the second law of thermodynamics . Kinetic theory and the equation of state of an ideal gas. Mean free path , distribution of molecular speeds and energies . Transport phenomena. Andrew’s experiements – van der Waals equation and applications . Joule – Kelvin effect and applications . Brownian motion. Thermodynamic potentials- Maxwell relations .Phase transition . Kirchhoff’s laws .Black- body radiation – Stefan – Boltzmann law spectral radiancy ,Wien displacement law, application to the cosmic microwave background radiation , Planck radiation law.
4. Electricity and Magnetism- Electric charge, Coulomb’s law, electric field , Gauss ‘ law . Electric potential ‘ van de Graff accelerator Capacitors , dielectrics and polarization . Ohm’s law , Kirchhoff’s first and second rules , resistors in series and parallel, applications of two – loop circuits . Magnietic field – Gauss’ law for magnetism, atomic and nuclear magnetism , magnetic susceptibility , classification of magnetic materials. Cirulating charges , cyclotron, synchrotron. Hall effect. Biot- Savart law, Ampere’s law , Faraday’s law of induction , Lenz’s Inductance. Alternating current circuits – RC, LR, single – loop LRC circuits , impedance , resonance , power in AC circuits . Displacement current , Maxwell’s equations (MKS units), electromagnetic waves , energy transport and pointing vector.
5. Atomic and Nuclear Physics- Photoelectric effect. Einstein’s photon theory ,Bohr’s theory of hydrogen atom. Stern- Gerlach experiment , quantization of angular momentum, electron spin . Pauli exclusion principle and applications . Zeeman effect, X-ray spectrum. Bragg’s law , Bohr’s theory of the Mosley plot. Compton effect, Compton wavelength. Wave nature of matter, de Broglie wavelength , wave – particle duality . Heisenberg’s uncertainty relationship . Schroedinger’s equation – eigenvalues and eigenfunctions of (i) particle in a box (ii) simple harmonic oscilltor and (iii) hydrogen atom. Potential step and barrier penetration . Natural and artificial radioactivity . Binding energy of nuclei , nuclear fission and fusion . Classification of elementary particles and their interactions.
6. Electronics- Diodes in half – waves and full – wave rectification , qualitative ideas of semicondutors, p type and n type semiconductors, junction diode, Zener diode , transistors, number , Logic gates and truth tables, Elements of microprocessors and computers.
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