CBSE(Class-XII) PHYSICS (Theory) Syllabus

CBSE(Class-XII) PHYSICS (Theory) Syllabus

Unit number ‒ I: Electrostatics
Chapter ‒ 1: Electric Charges and Fields Electric Charges; Conservation of charge, Coulomb's law-force between two point charges, forces between multiple charges; superposition principle and continuous charge distribution. Electric field, electric field due to a point charge, electric field lines, electric dipole, electric field due to a dipole, torque on a dipole in uniform electric field. Electric flux, statement of Gauss's theorem and its applications to find field due to infinitely long straight wire, uniformly charged infinite plane sheet and uniformly charged thin spherical shell (field inside and outside).
Chapter ‒ 2: Electrostatic Potential and Capacitance Electric potential, potential difference, electric potential due to a point charge, a dipole and system of charges; equipotential surfaces, electrical potential energy of a system of two point charges and of electric dipole in an electrostatic field. Conductors and insulators, free charges and bound charges inside a conductor. Dielectrics and electric polarisation, capacitors and capacitance, combination of capacitors in series and in parallel, capacitance of a parallel plate capacitor with and without dielectric medium between the plates, energy stored in a capacitor.
Unit number ‒ II: Current Electricity
Chapter ‒ 3: Current Electricity Electric current; flow of electric charges in a metallic conductor; drift velocity, mobility and their relation with electric current; Ohm’s law, electrical resistance, V-I characteristics (linear and non-linear), electrical energy and power, electrical resistivity and conductivity. Carbon resistors, colour code for carbon resistors; series and parallel combinations of resistors; temperature dependence of resistance. Internal resistance of a cell; potential difference and emf of a cell; combination of cells in series and in parallel; Kirchhoff’s laws and simple applications; Wheatstone bridge, metre bridge. Potentiometer - principle and its applications to measure potential difference and for comparing emf of two cells; measurement of internal resistance of a cell.
Unit number ‒ III: Magnetic Effects of Current & Magnetism
Chapter ‒ 4: Moving Charges and Magnetism Concept of magnetic field, Oersted’s experiment. Biot ‒ Savart law and its application to current carrying circular loop. Ampere’s law & its applications to infinitely long straight wire. Straight and toroidal solenoids (only equivalent treatment); Force on a moving charge in uniform magnetic and electric fields; Cyclotron. Force on a current-carrying conductor in a uniform magnetic field; force between two parallel current-carrying conductors-definition of ampere, torque experienced by a current loop in uniform magnetic field; moving coil galvanometer-its current sensitivity and conversion to ammeter and voltmeter.
Chapter ‒ 5: Magnetism and Matter Current loop as a magnetic dipole and its magnetic dipole moment; magnetic dipole moment of a revolving electron; magnetic field intensity due to a magnetic dipole (bar magnet) along its axis and perpendicular to its axis; torque on a magnetic dipole (bar magnet) in a uniform magnetic field; bar magnet as an equivalent solenoid; magnetic field lines; earth’s magnetic field and magnetic elements. Para-, dia- and ferro - magnetic substances, with examples. Electromagnets and factors affecting their strengths; permanent magnets.
Unit number ‒ IV: Electromagnetic Induction and Alternating Currents
Chapter-6: Electromagnetic Induction Electromagnetic induction; Faraday’s laws, induced emf and current; Lenz’s Law, Eddy currents. Self and mutual induction.
Chapter-7: Alternating Current Alternating currents, peak and RMS value of alternating current/voltage; reactance and impedance; LC oscillations (qualitative treatment only); LCR series circuit; resonance; power in AC circuits, power factor wattless current. AC generator and transformer.
Unit number ‒ V: Electromagnetic waves
Chapter-8: Electromagnetic Waves Basic idea of displacement current, Electromagnetic waves, their characteristics, their transverse nature (qualitative ideas only). Electromagnetic spectrum (radio waves, microwaves, infrared, visible, ultraviolet, X-rays, gamma rays) including elementary facts about their uses.
Unit number ‒ VI: Optics
Chapter-9: Ray Optics and Optical Instruments Ray Optics: Reflection of light; spherical mirrors; mirror formula; refraction of light; total internal reflection and its applications; optical fibres; refraction at spherical surfaces; lenses; thin lens formula; lensmaker’s formula; magnification, power of a lens; combination of thin lenses in contact; refraction and dispersion of light through a prism. Scattering of light - blue colour of sky and reddish appearance of the sun at sunrise and sunset. Optical instruments: Microscopes and astronomical telescopes (reflecting and refracting) and their magnifying powers.

Chapter-10: Wave Optics Wave optics: Wave front and Huygen's principle; reflection and refraction of plane wave at a plane surface using wave fronts. Proof of laws of reflection and refraction using Huygens’s principle. Interference; Young's double slit experiment and expression for fringe width, coherent sources and sustained interference of light; diffraction due to a single slit; width of central maximum; resolving power of microscopes and astronomical telescopes, polarisation, plane polarised light; Brewster's law; uses of plane polarised light and Polaroids.
Unit number ‒ VII: Dual Nature of Matter and Radiation
Chapter-11: Dual Nature of Radiation and Matter Dual nature of radiation; Photoelectric effect; Hertz and Lenard’s observations; Einstein’s photoelectric equation-particle nature of light. Matter waves-wave nature of particles; de Broglie relation; Davisson-Germer experiment (experimental details should be omitted; only conclusion should be explained).
Unit number ‒ VIII: Atoms & Nuclei
Chapter-12: Atoms Alpha-particle scattering experiment; Rutherford’s model of atom; Bohr model, energy levels, hydrogen spectrum.
Chapter-13: Nuclei Composition and size of nucleus, atomic masses, isotopes, isobars; isotones. Radioactivity alpha, beta and gamma particles/rays and their properties; radioactive decay law. Mass-energy relation, mass defect; binding energy per nucleon and its variation with mass number; nuclear fission, nuclear fusion.
Unit number ‒ IX: Electronic Devices
Chapter-14: Semiconductor Electronics: Materials, Devices and Simple Circuits Energy bands in conductors; semiconductors and insulators (qualitative ideas only) Semiconductor diode: I-V characteristics in forward and reverse bias; diode as a rectifier; Special purpose p-n junction diodes: LED, photodiode, solar cell and Zener diode and their characteristics; Zener diode as a voltage regulator. Junction transistor; transistor action; characteristics of a transistor and transistor as an amplifier (common emitter configuration); basic idea of analog and digital signals; Logic gates (OR, AND, NOT, NAND and NOR).

Unit number ‒ X : Communication Systems
Chapter ‒ 15: Communication Systems Elements of a communication system (block diagram only); Bandwidth of signals (speech, TV and digital data); Bandwidth of transmission medium. Propagation of electromagnetic waves in the atmosphere, sky & space wave propagation, satellite communication. Need for modulation, amplitude modulation and frequency modulation, advantages of frequency modulation over amplitude modulation.

WEST BENGAL STATE UNIVERSITY (WBSU) B.SC (PHYSICS) HONOURS SEMESTER-I SYLLABUS(THEORY)



PAPER-1

TOPIC-Mathematical Physics-I

1.Calculus- Recapitulation: Limits, continuity, average and instantaneous quantities, differentiation. Plotting functions.Intuitive ideas of continuous, differentiable, etc. functions and plotting of curves. Approximation: Taylor and binomial series (statements only). Convergence condition of Taylor series and corresponding tests.First Order and Second Order Differential equations: First Order Differential Equations and Integrating Factor. Homogeneous and Inhomogeneous second order differential equations with constant coefficients,particular integral. Wronskian and general solution. Statement of existence and Uniqueness Theorem forInitial Value Problems.Calculus of functions of more than one variable: Partial derivatives, exact and inexact differentials.Integrating factor, with simple illustration. Constrained Maximization using Lagrange Multipliers.
2.Vector Calculus- Recapitulation of vectors: Properties of vectors under rotations. Scalar product and its invariance under rotations. Vector product, Scalar triple product and their interpretation in terms of area and volume respectively. Scalar and Vector fields.Vector Differentiation: Directional derivatives and normal derivative. Gradient of a scalar field and its geometrical interpretation. Divergence and curl of a vector field. Del and Laplacian operators. Vector identities using Kronecker delta and Levi-civita symbols.Vector Integration: Ordinary Integrals of Vectors. Multiple integrals, Jacobian. Notion of infinitesimal line,surface and volume elements. Line, surface and volume integrals of Vector fields. Flux of a vector field.Gauss' divergence theorem, Green's and Stokes Theorems and their applications (no rigorous proofs).Orthogonal Curvilinear Coordinates. Derivation of Gradient, Divergence, Curl and Laplacian in Cartesian,Spherical and Cylindrical Coordinate Systems.
3.Introduction to probability- Independent random variables: Probability distribution functions; binomial, Gaussian, and Poisson, with examples. Mean and variance.Dependent events: Conditional Probability. Bayes' Theorem.
PAPER-2
TOPIC-MECHANICS.
1.Fundamentals of Dynamics - Reference frames. Inertial frames; Review of Newton’s Laws of Motion. Galilean transformations; Galilean invariance. Momentum of variable- mass system: motion of rocket. Dynamics of a system of particles.Centre of Mass. Principle of conservation of momentum. Impulse.
2.Work and Energy - Work and Kinetic Energy Theorem. Conservative and non- conservative forces. Potential Energy. Qualitative study of one dimensional motion from potential energy curves. Stable and unstable equilibrium. Elastic potential energy. Force as gradient of potential energy. Work & Potential energy. Work done by nonconservative forces. Law of conservation of Energy.
3.Collisions- Elastic and inelastic collisions between particles. Centre of Mass and Laboratory frames.
4.Rotational Dynamics- Angular momentum of a particle and system of particles. Torque. Principle of conservation of angular momentum. Rotation about a fixed axis. Moment of Inertia. Perpedicular axes theorem and parallel axes theorem and their applications in calculations of moment of inertia for rectangular, cylindrical and spherical bodies. Kinetic energy of rotation. Motion involving both translation and rotation.
5.Elasticity Relation between Elastic constants. Twisting torque on a Cylinder or Wire. Bending of a beam – internal bending moment.
6.Fluid Motion Kinematics of Moving Fluids: Equation of continuity. Idea of streamiline and turbulent flow, Reynold’s number. Poiseuille’s Equation for Flow of a viscous Liquid through a Capillary Tube.
7.Gravitation and Central Force Motion- Law of gravitation. Gravitational potential energy. Inertial and gravitational mass. Potential and field due to spherical shell and solid sphere.Motion of a particle under a central force field. Two-body problem and its reduction to one-body problem and its solution. The energy equation and energy diagram. Kepler’s Laws. Satellite in circular orbit and applications. Geosynchronous orbits. Weightlessness. Basic idea of global positioning system (GPS).
8.Oscillations- SHM: Simple Harmonic Oscillations. Differential equation of SHM and its solution. Kinetic energy, potential energy, total energy and their time-average values. Damped oscillation. Forced oscillations: Transient and steady states; Resonances, sharpness of resonance; power dissipation and Quality Factor.
9.Non-Inertial Systems- Non-inertial frames and fictitious forces. Uniformly rotating frame. Laws of Physics in rotating coordinate systems. Centrifugal force. Coriolis force and its applications.
10.Special Theory of Relativity- Michelson-Morley Experiment and its outcome. Postulates of Special Theory of Relativity. Lorentz Transformations. Simultaneity and order of events. Lorentz contraction. Time dilation. Relativistic transformation of velocity, frequency and wave number. Relativistic addition of velocities. Relativistic Doppler effect.

WEST BENGAL STATE UNIVERSITY- B.SC (GENERAL) WITH PHYSICS 1ST SEMESTER SYLLABUS


                 SEMESTER-I 
               SUBJECT-PHYSICS (MECHANICS)
              THEORY
1.Mathematical Methods- Vectors: Vector algebra. Scalar and vector products. Derivatives of a vector with respect to a parameter. Ordinary Differential Equations: 1st order homogeneous differential equations. 2nd order homogeneous and inhomogeneous differential equations with constant coefficients.
2.Particle Dynamics- Laws of Motion: Frames of reference. Newton’s Laws of motion. Dynamics of a system of particles. Centre of Mass. Momentum and Energy: Conservation of momentum. Work and energy. Conservation of energy. Motion of rockets. Rotational Motion: Angular velocity and angular momentum. Torque. Conservation of angular momentum.
3.Gravitation- Gravitation: Newton’s Law of Gravitation. Motion of a particle in a central force field (motion is in a plane, angular momentum is conserved, areal velocity is constant). Kepler’s Laws (statement only). Satellite in circular orbit and applications. Geosynchronous orbits. Weightlessness. Basic idea of global positioning system (GPS).
4.Oscillations - Oscillations: Differential equation of SHM and its solutions. Kinetic and Potential Energy, Total Energy and their time averages. Damped oscillations. Forced harmonic oscillations, resonance.
5.Elasticity - Hooke’s law - Stress-strain diagram - Elastic moduli-Relation between elastic constants - Poisson’s Ratio-Expression for Poisson’s ratio in terms of elastic constants - Work done in stretching and work done in twisting a wire - Twisting couple on a cylinder - Determination of Rigidity modulus by static torsion- Torsional pendulum.- Bending of beam.
6.Special Theory of Relativity - Special Theory of Relativity: Constancy of speed of light. Postulates of Special Theory of Relativity. Length contraction. Time dilation. Relativistic addition of velocities.
PRACTICAL-
1. To study the random error in observations of time period of some oscillation using chronometer.
2. To determine the Moment of Inertia of a regular body using another auxilary body and a cradle suspeded by a metalic wire.
3. To determine g and velocity for a freely falling body using Digital Timing Technique
4. To determine the Young's Modulus by flexure method.
5. To determine the Modulus of Rigidity of a Wire by a torsional pendulum.
6. To determine the height of a building using a Sextant.
7. To determine the elastic Constants of a wire by Searle’s method.
8. To determine the value of g using Bar Pendulum.
9. To determine the value of g using Kater’s Pendulum.
10. To study the Motion of Spring and calculate, (a) Spring constant, (b) g and (c) Modulus of rigidity

SOME UNEVEN TOPICS OF PHYSICS

             SOME UNEVEN TOPICS OF PHYSICS                                                     1.CHANDRASEKHAR LIMIT ...