PHYSICS
Newton’s Laws of Motion: First law of motion – force and inertia
with examples -momentum – the second law of motion, mention of spring force
F=kx, mention of basic forces in nature – impulse and impulsive forces with
examples – second law as applied to the variable mass situation – third law of
motion etc.
Fluid Dynamics: Explanation of streamline and turbulent motion –
statement and explanation of Bernoulli’s Theorem – mention of the equation of
continuity – mention of expressions for PE, KE and pressure energy of an
element of a liquid flowing through a pipe etc.
Work – Power – Energy: Work done by a force – power – units of
power – energy – derivation of expression for gravitation potential energy and
kinetic energy of a moving body – F.S – unit of work – graphical representation
of work done by a constant and variable force – statement of work – energy
theorem etc.
Gravitation: Statement and explanation of Law of Gravitation –
definition of G – definition of orbital velocity and escape velocity – mention
of expression for variation of g with altitude – statement and explanation of
Kepler’s Laws of planetary motion etc.
Gas Laws: absolute zero – Kelvin scale of temperature – mention of
the perfect gas equation – Statement and explanation of Boyle’s Law and
Charles’ Law – definition of Pressure and Volume Coefficient of a gas –
explanation of isothermal and adiabatic changes etc.
Mode of heat transfer: Conduction of heat – steady state –
temperature gradient – definition of coefficient of thermal conductivity –
basic concepts of convection of heat – radiation – properties of thermal
radiation – radiant energy etc.
Waves: Waves around us – a brief note on light waves, sound waves,
radio waves, microwaves, seismic waves – wave as a carrier of energy –
classification of waves etc.
Sound: Properties of sound – Doppler Effect – derivation of
expression for apparent frequency in general case and discussion to special
cases – the speed of sound in a gas – explanation of Newton’s Formula for the
speed of sound – correction by Laplace etc.
Refraction at a plane surface: Refraction through a parallel sided
glass slab – deviation produced by a thin prism – dispersive power – derivation
of expressions for lateral shift and normal shift etc.
Introduction to Theories of Light: A brief explanation of Newton’s
corpuscular theory, Huygen’s wave theory and Maxwell’s electromagnetic theory
etc.
Diffraction: Explanation of the
phenomenon – the distinction between Fresnel and Fraunhofer Diffraction
-qualitative explanation of diffraction at single slit and analysis of
diffraction pattern etc.
CHEMISTRY
Stoichiometry: Equivalent mass of elements: definition, principles
involved in the determination of equivalent masses of elements by hydrogen
displacement method, Expression of the concentration of solutions-ppm,
normality, molarity and mole fraction etc.
Atomic structure: Introduction: constituents of atoms, their charge
and mass. Atomic number and atomic mass, Wave nature of light, Electromagnetic
spectrum-emission spectrum of hydrogen-Lyman series, Balmer series, Paschen
series, Brackett series and Pfund series etc.
Periodic properties: Periodic table with 18 groups to be used, Variation
patterns in atomic radius, ionization energy, electron affinity etc.
Oxidation number: Oxidation and reduction, rules for computing
oxidation number. Calculating the oxidation no. of any particular atom in a
specific compound/ion etc.
Gaseous state: Boyle’s Law, Charles’ Law, Avogadro’s Hypothesis,
Dalton’s Law of partial pressures, Graham’s Law of diffusion and Gay Lussac’s
Law of combining volumes. Combined gas equation. Kinetic molecular theory of
gases-postulates, root mean square velocity etc.
Chemical bonding: Covalent bonding-molecular orbital theory: linear
combination of atomic orbitals (Qualitative approach), energy level diagram,
rules for filling molecular orbitals, bonding and antibonding orbitals, bond
order, electronic configuration of H2, Li2 and O2 Non-existence of He2 and
paramagnetism of O2 etc.
Acids and Bases: Arrhenius’ concept,
limitations. Bronsted and Lowry’s concept, merits and limitations. Lewis
concept, Strengths of Acids and Bases – dissociation constants of weak acids
and weak bases etc.
MATHEMATICS
Partial Fractions
Logarithms
Mathematical logic
Binomial Theory
Theory of Equations
Mathematical Induction
Summation of finite series
Coordinate system
Matrices & Determinants
Vector
Elements of Number Theory
Graph Theory
Trigonometry and advanced concepts
Integrations and equations