1. Electrostatics : Gauss law and its applications-Uniformly charged sphere, charged cylindrical conductor
and an infinite conducting sheet of charge. Deduction of Coulmb’s law from Gauss law Mechanical force
on a charged conductor Electric potential - Potential due to a charged spherical conductor, electric field
strength from the electric dipole and an infinite line of charge. Potential of a uniformly charged circular
disc.
2. Dielectrics : An atomic view of dielectrics, potential energy of a dipole in an electric field. Polarization and charge density, Gauss’s law for dielectric medium- Relation between D,E, and P. Dielectric constant, susceptibility and relation between them. Boundary conditions at the dielectric surface. Electric fields in cavities of a dielectric-needle shaped cavity and disc shaped cavity.
3. Capacitance : Capacitance of concentric spheres and cylindrical condenser, capacitance of parallel plate condenser with and without dielectric. Electric energy stored in a charged condenser – force between plates of condenser, construction and working of attracted disc electrometer, measurement of dielectric constant and potential difference.
4. Magnetostatics : Magnetic shell - potential due to magnetic shell - field due to magnetic shell - equivalent of electric circuit and magnetic shell - Magnetic induction (B) and field (H) -permeability and susceptibility - Hysteresis loop.
5. Moving charge in electric and magnetic field : Hall effect, cyclotron, synchrocyclotron and synchrotron - force on a current carrying conductor placed in a magnetic field, force and torque on a current loop, Biot -Savart’s law and calculation of B due to long straight wire, a circular current loop and solenoid.
6. Electromagnetic induction : Faraday’s law -Lenz’s law - expression for induced emf - time varying magnetic fields -Betatron -Ballistic galvanometer - theory - damping correction - self and mutual inductance, coefficient of coupling, calculation of self inductance of a long solenoid -toroid – energy stored in magnetic field - transformer - Construction, working, energy losses and efficiency.
7. Varying and alternating currents : Growth and decay of currents in LR, CR and LCR circuits - Critical damping. Alternating current relation between current and voltage in pure R,C and L-vector diagrams - Power in ac circuits. LCR series and parallel resonant circuit - Q-factor. AC & DC motors-single phase, three phase (basics only).
8. Maxwell’s equations and electromagnetic waves : A review of basic laws of electricity and magnetism - displacement current - Maxwell’s equations in differential form - Maxwell’s wave equation, plane electromagnetic waves -Transverse nature of electromagnetic waves, Poynting theorem, production of electromagnetic waves (Hertz experiment).
9. Basic Electronics : Formation of electron energy bands in solids, classification of solids in terms of forbidden energy gap. Intrinsic and extrinsic semiconductors, Fermi level, continuity equation - p-n junction diode, Zener diode characteristics and its application as voltage regulator. Half wave and full wave, rectifiers and filters, ripple factor (quantitative) – p n p and n p n transistors, current components in transistors, CB.CE and CC configurations - transistor hybrid parameters - determination of hybrid parameters from transistor characteristics -transistor as an amplifier — concept of negative feed back and positive feed back -Barkhausen criterion, RC coupled amplifier and phase shift oscillator (qualitative).
10. Digital Principles : Binary number system, converting Binary to Decimal and vice versa. Binary addition and subtraction (1’s and 2’s complement methods). Hexadecimal number system. Conversion from Binary to Hexadecimal - vice versa and Decimal to Hexadecimal vice versa. Logic gates: OR,AND,NOT gates, truth tables, realization of these gates using discrete components. NAND, NOR as universal gates, Exclusive - OR gate,De Morgan’s Laws - statement and proof, Half and Full adders. Parallel adder circuits.
2. Dielectrics : An atomic view of dielectrics, potential energy of a dipole in an electric field. Polarization and charge density, Gauss’s law for dielectric medium- Relation between D,E, and P. Dielectric constant, susceptibility and relation between them. Boundary conditions at the dielectric surface. Electric fields in cavities of a dielectric-needle shaped cavity and disc shaped cavity.
3. Capacitance : Capacitance of concentric spheres and cylindrical condenser, capacitance of parallel plate condenser with and without dielectric. Electric energy stored in a charged condenser – force between plates of condenser, construction and working of attracted disc electrometer, measurement of dielectric constant and potential difference.
4. Magnetostatics : Magnetic shell - potential due to magnetic shell - field due to magnetic shell - equivalent of electric circuit and magnetic shell - Magnetic induction (B) and field (H) -permeability and susceptibility - Hysteresis loop.
5. Moving charge in electric and magnetic field : Hall effect, cyclotron, synchrocyclotron and synchrotron - force on a current carrying conductor placed in a magnetic field, force and torque on a current loop, Biot -Savart’s law and calculation of B due to long straight wire, a circular current loop and solenoid.
6. Electromagnetic induction : Faraday’s law -Lenz’s law - expression for induced emf - time varying magnetic fields -Betatron -Ballistic galvanometer - theory - damping correction - self and mutual inductance, coefficient of coupling, calculation of self inductance of a long solenoid -toroid – energy stored in magnetic field - transformer - Construction, working, energy losses and efficiency.
7. Varying and alternating currents : Growth and decay of currents in LR, CR and LCR circuits - Critical damping. Alternating current relation between current and voltage in pure R,C and L-vector diagrams - Power in ac circuits. LCR series and parallel resonant circuit - Q-factor. AC & DC motors-single phase, three phase (basics only).
8. Maxwell’s equations and electromagnetic waves : A review of basic laws of electricity and magnetism - displacement current - Maxwell’s equations in differential form - Maxwell’s wave equation, plane electromagnetic waves -Transverse nature of electromagnetic waves, Poynting theorem, production of electromagnetic waves (Hertz experiment).
9. Basic Electronics : Formation of electron energy bands in solids, classification of solids in terms of forbidden energy gap. Intrinsic and extrinsic semiconductors, Fermi level, continuity equation - p-n junction diode, Zener diode characteristics and its application as voltage regulator. Half wave and full wave, rectifiers and filters, ripple factor (quantitative) – p n p and n p n transistors, current components in transistors, CB.CE and CC configurations - transistor hybrid parameters - determination of hybrid parameters from transistor characteristics -transistor as an amplifier — concept of negative feed back and positive feed back -Barkhausen criterion, RC coupled amplifier and phase shift oscillator (qualitative).
10. Digital Principles : Binary number system, converting Binary to Decimal and vice versa. Binary addition and subtraction (1’s and 2’s complement methods). Hexadecimal number system. Conversion from Binary to Hexadecimal - vice versa and Decimal to Hexadecimal vice versa. Logic gates: OR,AND,NOT gates, truth tables, realization of these gates using discrete components. NAND, NOR as universal gates, Exclusive - OR gate,De Morgan’s Laws - statement and proof, Half and Full adders. Parallel adder circuits.
MODERN PHYSICS
1. Atomic Spectra Introduction – Drawbacks of Bohr’s atomic model – Sommerfeld’s elliptical orbits –
elativistic correction (no derivation). Stern & Gerlach experiment Vector atom model and quantum umbers
associated with it. L-S and j-j coupling schemes. Spectral terms, selection rules, intensity rules. Spectra of
alkali atoms, doublet fine structure. Alkaline earth spectra, singlet and triplet fine structure. Zeeman
Effect, Paschen-Back Effect and Stark Effect.
2. Molecular Spectroscopy: Types of molecular spectra, pure rotational energies and spectrum of diatomic
molecule, determination of internuclear distance. Vibrational energies and spectrum of diatomic molecule.
Raman effect, Classical theory of Raman effect. Experimental arrangement for Raman effect and its
applications.
3. Quantum MechanicsInadequacy of classical Physics: (Discussion only)Spectral radiation - Planck’s
law. Photoelectric effect - Einstien’s photoelectric equation. Compton’s effect (quantitative) experimental
verification. Stability of an atom - Bohr’s atomic theory. Limitations of old quantum theory.
4. Matter Waves:de Broglie’s hypothesis - wavelength of matter waves, properties of matter waves. Phase
and group velocities. Davisson and Germer experiment. Double slit experiment. Standing de Brogile
waves of electron in Bohr orbits.
5. Uncertainity Principle:Heisenberg’s uncertainty principle for position and momentum (x and px), Energy
and time (E and t). Gamma ray microscope. Diffraction by a single slit. Position of electron in a Bohr
orbit. Particle in a box. Complementary principle of Bohr.
6. Schrodinger Wave Equation:Schrodinger time independent and time dependent wave equations.Wave
function properties - Significance. Basic postulates of quantum mechanics. Operators, eigen functions and
eigen values, expectation values. Application of Schrodinger wave equation to particle in one and three
dimensional boxes, potential step and potential barrier.
7. Nuclear PhysicsNuclear Structure:Basic properties of nucleus - size, charge, mass, spin, magnetic dipole
moment and electric quadrupole moment. Binding energy of nucleus, deuteron binding energy, p-p and np
scattering (concepts), nuclear forces. Nuclear models - liquid drop model, shell model.
8. Alpha and Beta Decays: Range of alpha particles, Geiger - Nuttal law, Gammow’s theory of alpha decay.
Geiger - Nuttal law from Gammow’s theory. Beta spectrum - neutrino hypothesis, Fermi’s theory of pdecay
(qualitative).
9. Nuclear Reactions: Types of nuclear reactions, channels, nuclear reaction kinematics. Compound
nucleus, direct reactions (concepts).Nuclear Detectors - GM counter, proportional counter, scintillation
counter, Wilson cloud chamber and solid state detector.