Pg Trb Physics Digital Electronics

Join this channel to get access to perks: https://www.youtube.com/channel/UCB954Fxy2KLF7CUX0PzyQ0w/join #rajagiriacademy We will provide all important details, ONLINE TEST, CLASSES and pdf related to TNTET, TNPSC, TNUSRB & PG TRB EXAMS syllabus. We guide you to get success in your exam and career. Join now in this group. உங்கள் வெற்றிக்கு... எங்கள் பங்கு....📚🎯🏅👍 https://t.me/rajagiriacademy PG TRB EXAM /கல்வி உளவியல்- 10,000 important one marks: https://www.youtube.com/playlist?list=PLJtv_w6cROF5RHw0KyXJOWTV1h2f-Io Tntet - 2022 - English: https://www.youtube.com/playlist?list=PLJtv_w6cROF6qrD0V5b_ToAUoEnm-yA4D TNTET TAMIL - NEW BOOK - CLASS 6: https://www.youtube.com/playlist?list=PLJtv_w6cROF4zXWbleePItNThY07Zsknu TNPSC/TNTET EXAM- HISTORY (வரலாறு): https://www.youtube.com/playlist?list=PLJtv_w6cROF7wC4MAF8vR7uwqvsPdZSy6 PG TRB PHYSICS DAILY LIVE TEST/Online test: https://www.youtube.com/playlist?list=PLJtv_w6cROF5P3bH812nKs6CR0dtP5242 Physics online test: https://www.youtube.com/playlist?list=PLJtv_w6cROF74LxWjQDr4HT6VL3Sv-QML UNIT- I - Vector Fields General expression for gradient, divergence curl and Laplace operators in orthogonal curvilinear Co-ordinates and their explicit form in Cartesion spherical-co-ordinates, Stokes theorem and Gauss theorem. Matrix theory Algebraic operation – Rank of a matrix. Eigen values and Eigen vectors - characteristic equation – Cayely Hamilton theorem – Diagonalisation and Diagonalizability of unitary orthogonal. Hermitian and symmetric matrices. Special functions Legendre, Hermite and Lagune equation basic properties – Gamma and Beta functions. UNIT-II - Probability and Theory of errors Basic concept of probability distribution – Exclusive events and addition – Compound events and products – Binomial – Poisson and Guassian distribution – Normal distribution of error – Standard error – Principle of least squares – Application of solution of linear equation – Curve fitting. Group theory Definition – Sub-groups – Homomorphism and isomorphism – Group representations – Irreducible representation – Unitary representation. UNIT – III - Classical mechanics Generalised co-ordinates – D’Alembert's principle, Lagrangian equation of motion – Hamiltonian equation – Conservative and non-conservative systems - Hamilton equation, cyclic variables, principle of least action – Theory of small oscillations – Normal co-ordinates and normal modes - Linear Triatomi molecule - Rigid bodies -Moments and products of inertiaEuler’s angle - Euler’s equation of motionSymmetric top. Statistical Mechanics Maxwell Boltzmann statistics Maxwellian distribution of velocities – Mean – root mean square and most probable velocities Bose-Einstein statistics – Distribution function – Phonon gas – Black body radiation – Fermy-Dirac statistics – Distribution function – Electron gas – Pauli paramagnetism – Thermionic emission – Elementary idea of phase transition – Properties of liquid Helium – phase space, Liouville’s theorem – statistical equation – micro canonical ensembles – Equation of statethermodynamic functions of an ideal gas equipartition of energy. UNIT-V - Electromagnetic theory Coulomb law – Gauss law – Poisson’s equation – Laplace equation and solution to boundry value problem – Electrostatics of dielectric media – Molecular polarisability and its application – Vector – Scalar potential – B and H in a magnetic material – Maxwell’s equations and their significance – Poynting theorem – Radiation of oscillating dipole. Relativistic Mecharelativistic Mechanics - Centre of mass system for two relativistic particles. UNIT-VI - Spectroscopy Rotation spectra – Vibration spectra – Rotation vibration spectra of diatomic and linear molecules – Raman Spectra – experimental techniques and classical theory of Raman Evaluation of molecular constant from vibrational spectra data. Interaction between nuclear spin and magnetic field – Nuclear resonance-Chemical shift-Dipole-Dipole interactionSpin – Wave equation of an electron in a periodic potential. Thermal Properties of solids Laws of Thermodynamics – Maxwell’s relations and their applications – Phase transitions – Production and measurement of low temperatures –Einstein and Debye theory of specific heats of solids. Electronics (Digital electronics) Binary - Decimal – Octal and Hexadecimal numbers – 8421 Excess–3 - Gray Codes – Logic gates – Laws Boolean algebra – Half and full adders – Subtractors – RS, RST, JK and M/S Flip-flops – Ripple counter – Decade counter –Up-down counter – Serial and parallel registers. Operational amplifier Differential amplifier – Parameters – Applications – Analog integration and differentiation – Analog computation – Comparators – Sample and hold circuits – Oscillator – Hartley-Colpitt-Phase Shift - Wien’s bridge oscillators – Astable mono -Bistable multivibrators – Clipping and clamping circ