Measurements in Chemistry – SI unit for fundamental quantities

Significant figures in the calculation

Mole Concept –

Avogadro number and the mole concept

Molar masses

Mole fraction

Molarity

Molality

Percentage Composition

Stoichiometry

Equivalent weight and normality

Calculations based on mole concept and stoichiometry

Gaseous and Liquid States

Absolute scale of temperature

Gas laws

Ideal gas equation

Real gases and deviation from ideality

Liquefaction of gases

Van der wall equations

Kinetic theory of gases; average

Root mean square and most probable velocities and their relation with temperature

Law of partial pressures.

Atomic Structure and Chemical Bonding

Bohr Model

Spectrum of hydrogen atom

Quantum numbers

Wave-particle duality

Uncertainty principle

Orbitals and quantum numbers

Thermodynamics

Thermodynamics state

First law of thermodynamics

Internal energy

Work and heat

Pressure-volume work

Enthalpy and enthalpy change

Hess’s law

Heat of reaction

Chemical equilibrium

Laws of chemical equilibrium, Law of mass action, Equilibrium constant

Factors affecting equilibrium constant.

Electrochemistry

Redox reactions and electrode potential

Electrochemical cells

Galvanic cells and cell reactions

Standard electrode potential

Nernst equation

Electrochemical series

Emf of galvanic cells

Chemical kinetics

Rates of chemical reactions

Order of reaction

Rate constant

Factors affecting the rate of reaction – concentration

Solid state

Classification of solids

Amorphous and crystalline solids

Crystalline state

Crystal lattice and unit cells

Solutions

Solution of solid and gas in liquid

Concentration of solution

Ideal and non ideal solutions

Colligative properties

Vapour pressure of solution

Surface chemistry

Adsorption, Colloidal state

Inorganic Chemistry

Classification of elements and periodicity in properties

Hydrogen

S– Block elements

P– Block elements

D–Block elements

F–Block elements

Coordination compounds

Metals and metallurgy

Organic Chemistry

Basic concepts

Reactive intermediates

Isomerism

Nomenclature

Alkanes

Alkenes and Alkynes

Aromatic compounds

Haloalkanes (Alkyl halides)

Haloarenes

Alcohols

Phenols

Ethers

Aldehydes and Ketones

Carboxylic acids

Amines

Carbohydrate

Amino acids and proteins

Polymers

Mathematics Algebra

Algebra of complex numbers

Quadratic equations with real coefficients

Arithmetic

Permutations and combinations

Binomial theorem for positive integral index

Relations between roots and coefficients

Matrices as a rectangular array of real numbers

Properties of these matrix operations

Addition and multiplication rules of probability

Trigonometry

Trigonometric functions

Relations between sides and angles of a triangle

General solution of trigonometric equations

Analytical Geometry

Two dimensions – Cartesian coordinates

Equation of a straight line in various forms

Angle between two lines

Lines through the point of intersection of two given lines

Equation of the bisector of the angle between two lines

Equation of a circle in various forms

Parametric equations of a circle

Equation of a circle through the points of intersection of two circles and those of a circle and a straight line

Differential Calculus

Real valued functions of a real variable

Rational

Trigonometric

Exponential and logarithmic functions

Limit and continuity of a function

Limit and continuity of the sum

Inverse of a function

Derivative of a function

Derivative of the sum

Difference

Product and quotient of two functions

Derivatives of implicit functions

Integral Calculus

Integration as the inverse process of differentiation

Integration by parts

Integration by the methods of substitution and partial fractions

Formation of ordinary differential equations

Vectors

Addition of vectors

Scalar multiplication

Dot and cross products

Scalar triple products and their geometrical interpretations.

Unit Name

Topics

General

Units and Dimensions

Dimensional analysis

Least count

Design of some simple experiments

Significant figures

Methods of measurement (direct

Indirect

Measurement of length

Time

Mass. Potential difference

Current and resistance Graphical representation and interpretation of data

Error in measurements and error analysis.

Mechanics

Kinematics in one and two dimensions

Newton’s laws of motion

Projectile

Uniform linear motion

Relative velocity

Inertial and uniformly accelerated frames of reference

Static and dynamic friction

Linear and circular simple harmonic motion

Systems of particles

Centripetal acceleration and centrifugal force

Rigid body

Moment of inertia

Parallel and perpendicular axes theorems

Hooke’s law and stress–strain relations. Elastic limit

plastic deformation. Young’s modulus

Bulk and shear moduli

Pressure in a fluid

Pascal’s law

Buoyancy

Surface energy and surface tension

Capillary rise.

Sound and Mechanical Waves

Plane-wave motion

Longitudinal

Transverse waves

Superposition of waves

Progressive and stationary waves

Vibrations of strings and air columns.

Thermal Physics

Thermal expansion of solids

Liquids and gases

Calorimetry

Latent heat

Heat conduction in one dimension

First and the second law of thermodynamics and its applications

Elementary concepts of convection and radiation

Newton’s law of cooling

Equivalence of heat and work

Entropy

Black body radiation – absorptive and emissive powers

Kirchhoff’s law.

Electricity and Magnetism

Coulomb’s law

Electric field and potential

Electrical potential energy of a system of point charges and of electrical dipoles in a uniform electrostatic field.

Capacitance

Calculation of capacitance with and without dielectrics. Capacitors in series and parallel. Energy stored in a capacitor.

Electromagnetic Induction

Faraday’s law

Lenz’s law

Self and mutual inductance

RC

LR and LC circuits with A.C sources.

Optics

Rectilinear propagation of light, Reflection, and refraction at plane and spherical surfaces, Deviation and dispersion of light by a prism

Modern Physics

Atomic nucleus. Alpha

Beta

Gamma radiations & Law of radioactive decay

Photoelectric effect

Bohr’s theory of hydrogen-like atoms

Characteristic and continuous X–rays

Moseley’s law

Fission and fusion processes.