Physics, technology and society
S I units
Fundamental and derived units
Accuracy and precision of measuring instruments
Errors in measurement
Dimensions of Physical quantities
Dimensional analysis and its applications
Speed and velocity
Uniform and non-uniform motion
Average speed and instantaneous velocity Uniformly accelerated motion
Velocity-time, position-time graphs
Relations for uniformly accelerated motion
Scalars and Vectors
Vector addition and Subtraction
Scalar and Vector products
Resolution of a Vector
Motion in a plane
Uniform Circular Motion.
Force and Inertia
Newton's First Law of motion
Newton's Second Law of motion
Newton's Third Law of motion
Law of conservation of linear momentum and its applications
Equilibrium of concurrent forces
Static and Kinetic friction
Laws of friction
Dynamics of uniform circular motion
Centripetal force and its applications.
Centre of mass of a two-particle system
Centre of mass of a rigid body
Basic concepts of rotational motion
Moment of a force
Conservation of angular momentum and its applications
Moment of inertia
Radius of gyration
Values of moments of inertia for simple geometrical objects
Parallel and perpendicular axes theorems and their applications
Rigid body rotation, equations of rotational motion.
The universal law of gravitation
Acceleration due to gravity and its variation with altitude and depth
Kepler's laws of planetary motion
Gravitational potential energy
Orbital velocity of a satellite
Stress-strain relationshipHooke's Law
Young's modulus, bulk modulus
Modulus of rigidity
Pressure due to a fluid column
Pascal's law and its applications
Viscosity, Stokes' law
Streamline and turbulent flow
Bernoulli's principle and its applications
Surface energy and surface tension
Angle of contact
Application of surface tension â drops
Bubbles and capillary rise.
Specific heat capacity
Change of state
Convection and radiation
Newton's law of cooling.
zeroth law of thermodynamics
Concept of temperature
Work and internal energy
First law of thermodynamics
Second law of thermodynamics
Reversible and irreversible processes
Carnot engine and its efficiency.
Surds and Indices
Height and Distance
Geometry - Triangle
Geometry - Circle
Geometry - Quadrilaterals
Displacement as a function of time
Simple harmonic motion
Oscillations of a spring
Restoring force and force constant
Energy in S.H.M.
Kinetic and potential energies
Derivation of expression for its time period
Forced and damped oscillations
Coulomb's law-forces between two point charges
Forces between multiple charges
Superposition principle and continuous charge distribution.
Resistances of different materials
V-I characteristics of Ohmic and nonohmic conductors
Electrical energy and power
Colour code for resistors
Series and parallel combinations of resistors
Temperature dependence of resistance
Electric Cell and its Internal resistance
Potential difference and emf of a cell
Combination of cells in series and in parallel
Kirchhoff's laws and their applications
Potentiometer â principle and its applications.
Para-, dia- and ferro- magnetic substances
Magnetic susceptibility and permeability
Electromagnets and permanent magnets.
Faraday's law, induced emf and current
Lenz's Law, Eddy currents
Self and mutual inductance
Peak and rms value of alternating current/ voltage
Reactance and impedance
LCR series circuit
Power in AC circuits
AC generator and transformer.
Electromagnetic waves and their characteristics
Transverse nature of electromagnetic waves.
Electromagnetic spectrum (radio waves, microwaves, infrared, visible, ultraviolet, Xrays, gamma rays)
Applications of e.m. waves.
Reflection and refraction of light at plane and spherical surfaces
Total internal reflection and its applications
Deviation and Dispersion of light by a prism
Power of a Lens
Combination of thin lenses in contact
wavefront and Huygens' principle
Laws of reflection and refraction using Huygen's principle
Young's double slit experiment and expression for fringe width
Diffraction due to a single slit
Width of central maximum
Resolving power of microscopes and astronomical telescopes
Plane polarized light
uses of plane polarized light and Polaroids.
Dual nature of radiation
Hertz and Lenard's observations
Einstein's photoelectric equation
Particle nature of light
Matter waves-wave nature of particle
De Broglie relation
Alpha-particle scattering experiment
Rutherford's model of atom
Composition and size of nucleus
Beta and gamma particles/rays and their properties
Radioactive decay law
Binding energy per nucleon and its variation with mass number
Nuclear fission and fusion.
I-V characteristics in forward and reverse bias
diode as a rectifier
I-V characteristics of LED
solar cell and Zener diode
Zener diode as a voltage regulator
characteristics of a transistor
transistor as an amplifier and oscillator
Transistor as a switch.
Propagation of electromagnetic waves in the atmosphere
Sky and space wave propagation
Need for modulation
Amplitude and Frequency Modulation
Bandwidth of signals
Bandwidth of Transmission small
Basic Elements of a Communication System .
Matter and its nature
Dalton's atomic theory
Concept of atom, molecule
element and compound
Physical quantities and their measurements in Chemistry
precision and accuracy
S.I. Units, dimensional analysis
Laws of chemical combination
Atomic and molecular masses
empirical and molecular formulae
Chemical equations and stoichiometry.
Thomson and Rutherford atomic models and their limitations
Nature of electromagnetic radiation
Spectrum of hydrogen atom
Bohr model of hydrogen atom
Dual nature of matter
Heisenberg uncertainty principle.
Concept of atomic orbitals as one electron wave function Variation of Î¨ and Î¨
Molecular Orbital Theory
Elementary idea of metallic bonding
Fundamentals of thermodynamics
First law of thermodynamics
Second law of thermodynamics
percentage (by volume and mass both)
Ideal and non-ideal solutions
plots for ideal and non-ideal solutions
Colligative properties of dilute solutions
Determination of molecular mass using colligative properties
Abnormal value of molar mass
van't Hoff factor and its significance.
concept of dynamic equilibrium
Equilibria involving physical processes
general characterics of equilibrium involving physical processes.
Equilibria involving chemical processes
Electronic concepts of oxidation and reduction
Eectrolytic and metallic conduction
Rate of a chemical reaction
factors affecting the rate of reactions
elementary and complex reactions
effect of temperature on rate of reactions
Physisorption and chemisorption and their characteristics
classification of colloids
macromolecular and associated colloids
preparation and properties of colloids
Emulsions and their characteristics.
Modem periodic law and present form of the periodic table, s, p, d and f block elements
Periodic trends in properties of elements atomic and ionic radii
electron gain enthalpy
oxidation states and chemical reactivity.
Modes of occurrence of elements in nature
Steps involved in the extraction of metals
Thermodynamic and electrochemical principles involved in the extraction of metals.
Position of hydrogen in periodic table
properties and uses of hydrogen
Hydrogen as a fuel.
electronic configuration and general trends in physical and chemical properties of elements
anomalous properties of the first element of each group
Preparation and properties of some important compounds
Sets and their representation
Union, intersection and complement of sets and their algebraic properties
Relation, Types of relations, equivalence relations, functions
one-one, into and onto functions, composition of functions.
Complex numbers as ordered pairs of reals
Representation of complex numbers in the form a+ib and their representation in a plane
algebra of complex numbers
modulus and argument (or amplitude) of a complex number
square root of a complex number
Quadratic equations in real and complex number system and their solutions. Relation between roots and co-efficients nature of roots
formation of quadratic equations with given roots.
algebra of matrices
types of matrices
determinants and matrices of order two and three
Properties of determinants
evaluation of determinants
area of triangles using determinants
Adjoint and evaluation of inverse of a square matrix using determinants and elementary transformations
Test of consistency and solution of simultaneous linear equations in two or three variables using determinants and matrices.
Fundamental principle of counting
permutation as an arrangement and combination as selection
Meaning of P (n,r) and C (n,r) simple applications.
Principle of Mathematical Induction and its simple applications.
Binomial theorem for a positive integral index
general term and middle term
properties of Binomial coefficients and simple applications.
Arithmetic and Geometric progressions
insertion of arithmetic
geometric means between two given numbers
Relation between A.M. and G.M. Sum upto n terms of special series: S n, S n2, Sn3.
Arithmetico â Geometric progression.
Real â valued functions
algebra of functions
logarithmic and exponential functions
Graphs of simple functions
Limits, continuity and differentiability
Differentiation of the sum, difference, product and quotient of two functions
Differentiation of trigonometric, inverse trigonometric, logarithmic, exponential, composite and implicit functions
derivatives of order upto two
Rolle's and Lagrange's Mean Value Theorems
Applications of derivatives
Rate of change of quantities, monotonic â increasing and decreasing functions
Maxima and minima of functions of one variable
tangents and normals.
Integral as an anti â derivative
Fundamental integrals involving algebraic, trigonometric, exponential and logarithmic functions
Integration by substitution, by parts and by partial fractions
Integration using trigonometric identities
Integral as limit of a sum
Fundamental Theorem of Calculus
Properties of definite integrals
Evaluation of definite integrals
determining areas of the regions bounded by simple curves in standard form.
Ordinary differential equations, their order and degree
Formation of differential equations
Solution of differential equations by the method of separation of variables
solution of homogeneous and linear differential equations of the type: dy/dx+p(x)y=q(x)
Cartesian system of rectangular co-ordinates 10 in a plane
locus and its equation
translation of axes
slope of a line, parallel and perpendicular lines
intercepts of a line on the coordinate axes.
Co-ordinates of a point in space
Distance between two points
Direction ratios and direction cosines
Angle between two intersecting lines
Skew lines, the shortest distance between them and its equation
Equations of a line and a plane in different forms
Intersection of a line and a plane
Vectors and scalars
Addition of vectors
Components of a vector in two dimensions and three dimensional space
Scalar and vector products
Scalar and vector triple product.
Measures of Dispersion
Calculation of mean, median, mode of grouped and ungrouped data
Calculation of standard deviation, variance and mean deviation for grouped and ungrouped data.
Trigonometrical identities and equations
Inverse trigonometrical functions and their properties
Heights and Distances.
ogical operations AND, OR, Implies,Iimplied by, If and Only If
Understanding of tautology, contradiction, converse and contrapositive.