We have unlocked detailed notes and explanation of each and every important topics from physics, chemistry and mathematics.
Maths
Set Theory
1.0 Set
2.0 Representation of set
3.0 Types of set
4.0 Subsets
5.0 Theorems based on Subsets
6.0 Power set
7.0 Subsets of the Set
8.0 Intervals as subsets
9.0 Universal set
10.0 Venn Diagrams and operation on sets
11.0 Laws of algebra of sets
12.0 Number of elements in sets
Logarithms and Properties
1.0 Introduction
2.0 Properties of a logarithmic functions
3.0 Sample Questions
4.0 Logarithmic Inequalities
Partial Fractions
1.0 Introduction
2.0 Types of Partial fraction
Height and Distance
1.0 Introduction
2.0 Questions
Trigonometric Functions and Identities
1.0 Trigonometric Ratios
2.0 Trigonometric functions
3.0 Sign of trigonometric functions
4.0 Trigonometric Identities
5.0 Trigonometric functions of sum and difference of two angles
6.0 Transformation Formulae
7.0 Trigonometric ratios of some useful angles
Trigonometric Equations and Inequalities
1.0 Definition
2.0 General Solution of Trigonometric Functions
3.0 Steps to solve trigonometric equations
4.0 Trigonometric Inequalities
5.0 Period of trigonometric function
Properties and Solution of Triangles
1.0 Sine rule
2.0 Cosine Rule
3.0 Projection Formulae
4.0 Napier’s Analogy-Tangent Rule
5.0 Trigonometric Functions of Half Angles
6.0 Area of triangle
7.0 Rule
8.0 Radius of circumcentre
9.0 Radius of Incircle
10.0 Radius of the Ex-circles
11.0 Length of Angle Bisectors, Medians and Altitudes
12.0 Distances of special points from vertices and sides of a triangle
13.0 Orthocentre and Pedal Triangle
Inverse Trigonometric Function
1.0 Introduction
2.0 Inverse Trigonometric function
3.0 Properties
Mathematical Induction
1.0 Introduction
2.0 Principle of mathematical induction
Sequence and Series
1.0 Introduction
2.0 Arithmetic Sequence or Arithmetic Progression (A.P.)
3.0 Geometric Sequence or Geometric Progression (G.P.)
4.0 Harmonic Sequence or Harmonic Progression (H.P.)
5.0 Relation among A.M., G.M. and H.M.
6.0 Σ, Sigma Notation
7.0 Arithmetico-Geometric Series (A.G.S.)
8.0 Miscellaneous Series
Complex Numbers
1.0 Definition
2.0 Algebraic operations
3.0 Conjugate of complex number
4.0 Properties of conjugate
5.0 Representation of complex number
6.0 Euler’s formulae
7.0 Properties of Argument
8.0 De Moivre’s Theorem
9.0 Square root of a complex number
10.0 The nth root of unity
11.0 Cube roots of unity
12.0 Rotation
13.0 Geometrical properties
14.0 Locus
15.0 Ptolemy’s Theorem
Quadratic Equations and Expressions
1.0 Definition
2.0 Relation between roots and coefficients
3.0 Nature of roots
4.0 Common roots
5.0 Graph of quadratic expression
6.0 Location of roots
Inequalities
1.0 Definition
2.0 Theorems
3.0 Wavy curve method
4.0 Equations involving MOD functions
5.0 Basic properties
6.0 Cauchy-Schwarz Inequality
7.0 Tchebychef’s Inequality
Binomial Theorem
1.0 Binomial expression
2.0 Binomial Theorem (for positive integral index)
3.0 Properties of Binomial Expansion
4.0 General term
5.0 Important Results
6.0 Middle Term
7.0 Greatest binomial coefficient
8.0 Numerically Greatest term
9.0 Properties of binomial coefficient
10.0 Use of calculus
11.0 Multinomial theorem
12.0 Binomial theorem for negative and fractional indices
Exponential and Logarithmic Series
3.0 Logarithmic Series
1.0 Exponential Series
2.0 Deduction of other important series from the exponential series
Permutations and Combinations
1.0 Factorial notation
2.0 Basic Principle of Counting
3.0 Permutation
4.0 Circular Permutations
5.0 Combinations
6.0 Restricted Selection
7.0 Restricted Arrangement
8.0 Greatest Term
9.0 Possible selections from distinct objects
10.0 Possible Selection from Identical Objects
11.0 Possible Selection from Objects having Distinct and Identical Objects
12.0 Total Number of Possible Divisors for a Given Natural Number
13.0 Sum of all Possible Divisors of a Natural Number
14.0 Exponent of a Prime Number
15.0 Division and Distribution of Objects
16.0 Multinomial Theorem
Probability
1.0 Basic Definitions
2.0 Basic Notations
3.0 Probability
4.0 Intersection and Union of Sets of Events
5.0 Conditional Probability
6.0 Multiplication Theorem
7.0 Independent Events
8.0 Total Probability Theorem
9.0 Bayes’ Theorem
10.0 Illustration for understanding the difference between total probability theorem and baye’s theorem
11.0 Probability Distribution of Random Variables
12.0 Probability Distribution
13.0 Mean and variance of a discrete random variable
14.0 Binomial Distribution for Successive Events
15.0 Mean and variance of binomial distribution
Coordinate System and Coordinates
1.0 Definition
2.0 Rectangular cartesian co-ordinate system
3.0 Polar co-ordinates of a point
4.0 Relation between cartesian co-ordinates and polar co-ordinates
5.0 Distance formulae
6.0 Section formulae
7.0 Area of triangle
8.0 Area of quadrilateral
9.0 Area of n- sided polygon
10.0 Centroid of a triangle
11.0 Incentre of a triangle
12.0 Excentre of a triangle
13.0 Circumcentre of a triangle
14.0 Orthocentre of a triangle
15.0 Locus
16.0 Shifting of origin
17.0 Rotation of axes
Straight Lines
1.0 Definition
2.0 Condition of collinearity of three points
3.0 Equation of a straight line in various forms
4.0 Angle between two lines
5.0 Length of perpendicular from a point to a line
6.0 Foot of perpendicular from a point to a line
7.0 Reflection of a point about a line
8.0 Equation of angle bisector
9.0 Bisector of angle containing origin
10.0 Bisector of angle containing a given point
11.0 Family of straight lines
Pair of Straight Lines
1.0 Definition
2.0 Angle between the pair of straight lines
3.0 Bisector of angle between the lines
4.0 General equation of second degree
5.0 Angle between the lines represented by general equation
6.0 Pair of bisectors of lines represented by general equation
7.0 Point of intersection of lines
8.0 Homogenization
Circles
1.0 Definition
2.0 Equation of circle in various forms
3.0 Intercepts made by a circle on coordinate axis
4.0 Position of a point with respect to a circle
5.0 Maximum and minimum distance of a point from a circle
6.0 Intersection of a line and a circle
7.0 Length of intercept cutoff from a line by a circle or length of chord of a circle
8.0 Equation of tangent to a circle
9.0 Tangents from a point to the circle
10.0 Length of tangent from a point to a circle
11.0 Common Tangents
12.0 Equation of common tangents
13.0 Pair of tangents
14.0 Normal to a circle at a given point
15.0 Common chord of two circles
16.0 Equation of chord joining two points on circle
17.0 Equation of chord of circle whose midpoint is given
18.0 Chord of contact
19.0 Orthogonal Circles
20.0 Director Circle
21.0 Family of circles
Parabola
1.0 Conic Section
2.0 Parabola
3.0 Standard equation of Parabola
4.0 Focal distance of a point
5.0 General equation of Parabola
6.0 The generalized form of parabola
7.0 Parametric Co-ordinates
8.0 Equation of tangent to a parabola
9.0 Point of intersection of tangents at any two points on the parabola
10.0 Equation of normal to the parabola
11.0 Relation between parametric coefficients if normal meets parabola
12.0 Important relations
13.0 Circle through co-normal points
14.0 Chord of contact
Ellipse
1.0 Definition
2.0 Standard equation of Ellipse
3.0 Important terms
4.0 Difference between two forms of Ellipse
5.0 Focal Distance of a point
6.0 Parametric Co-ordinates
7.0 Equation of Tangent to Ellipse
8.0 Equation of Normal to Ellipse
9.0 Pair of tangents
10.0 Chord of contact
11.0 Chord bisected at a given point
12.0 Director circle
Hyperbola
1.0 Definition
2.0 Standard Equation of Hyperbola
3.0 Difference between two forms of Hyperbola
4.0 Parametric Co-ordinates
5.0 Equation of tangent to Hyperbola
6.0 Equation of normal to Hyperbola
7.0 Pair of tangents
8.0 Chord of contact
9.0 Chord bisected at a given point
10.0 Asymptotes
11.0 Rectangular Hyperbola
Functions
1.0 Definitions
2.0 Relation
3.0 Types of Relation
4.0 Functions
5.0 Standard Real Functions and their Graphical Representation
6.0 Operations on Real Functions
7.0 Types of Functions
8.0 Composition of a Function
9.0 Inverse of a Function
Matrices and Determinants
1.0 Introduction
2.0 Algebra of Matrices
3.0 Special Matrices
4.0 Determinant of a square matrix
5.0 Adjoint of a square Matrix
6.0 Inverse of a Matrix
7.0 Types of Equations Homogenous & Non-Homogenous
8.0 Cramer’s rule
9.0 Types of Linear Equations
Limits
1.0 Introduction
2.0 Definition of Limit – In a different form:
3.0 Conditions for existence of Limit
4.0 Some Standard Limits
5.0 Algebra of limits
6.0 Some Standard Methods of Evaluation of Limits:
7.0 Indeterminate Forms:
8.0 Sandwich Theorem / Squeeze Play Theorem:
9.0 L’Hospital’s Rule for evaluation of limits:
Continuity and Differentiability
1.0 Continuous Function
2.0 Algebra of continuous functions
3.0 Differentiability
Differentiation
1.0 Differentiation
2.0 Some Basic Differentiation formulae
3.0 Properties of Differentiation
4.0 Derivative of Common Functions
5.0 Explicit and Implicit form:
6.0 Parametric Differentiation
7.0 Differentiation of one function w.r.t other
8.0 Matrix Differentiation
9.0 Logarathimic Differentiation
10.0 Differentiation using substitution
Derivative as a Rate Measure, Tangents and Normals
1.0 Derivative as a rate of change
2.0 Tangent and Normal
3.0 Equation of Tangent
4.0 Equation of Normal
5.0 Length of tangent, subtangent, normal and subnormal
6.0 Angle of intersection of two curves
Monotonicity, Maxima and Minima
1.0 Rolle’s Theorem
2.0 Lagrange’s Mean Value Theorem
3.0 Monotonicity of a function
4.0 Finding intervals of increasing and decreasing functions
5.0 Proving inequality using monotonicity
6.0 Maxima and Minima
7.0 First Derivative Test
8.0 Second Derivative Test
9.0 Absolute Maxima and Absolute Minima
10.0 Maxima and Minima of Discontinuous functions
Indefinite Integrals
1.0 Introduction
2.0 Methods of Integration
3.0 Integration by parts
4.0 Integral of the type 1
5.0 Integral of the type 2
6.0 Integral of the type 3
7.0 Integral of the type 4
8.0 Integration using partial fractions
9.0 Integration of trigonometric functions
10.0 Integral of type 5
11. Integral of type 6
12. Integration of irrational algebraic functions
13.0 Integral of type 7
14.0 Reduction formulae
Definite Integrals
1.0 Theoretical Meaning
2.0 Geometrical Meaning
3.0 Fundamental Theorems
4.0 Evaluation By Substitution
5.0 Definite Integral as the Limit of Sum
6.0 Summation of Series Using Definite Integral
7.0 Properties of Definite Integrals
8.0 Integral Inequality
9.0 Walli’s Formula
10.0 Problems on Integral Functions
11.0 Newton-Leibnitz Rule
12.0 Reduction Formula
13.0 Gamma and Beta Functions
14.0 Important Results
Area of Bounded Regions
1.0 Area Under a Curve
2.0 Working Rule for finding the Area
3.0 Area between the Curves
4.0 Important Concept
Differential Equations
1.0 Introduction
2.0 Methods to find the solution of first order and first degree differential equation
3.0 Differential equation of first order and higher degrees
4.0 Orthogonal trajectory
Vectors
1.0 Introduction
2.0 Types of Vectors
3.0 Addition of Vectors
4.0 Components of a Vector
5.0 Vector Joining Two Points
6.0 Projection of a Vector on a Line
7.0 Section Formula
8.0 Products of a Vector
9.0 Lami’s Theorem
10.0 Linear Combination of Vectors
11.0 Linearly Dependent and Independent Vectors
12.0 Scalar Triple Product
13.0 Vector Triple Product
Three Dimensional Coordinate System
1.0 Introduction
2.0 Equation of a line in space
3.0 Distance and Angle between lines and points.
4.0 Plane
5.0 Relation between Plane, Line and Point.
6.0 Intersection of a line and a plane
7.0 Image of a point in a plane
Physics
Basic Mathematics and Measurements
1.0 Introduction
2.0 Trigonometry
3.0 Basic logarithmic functions
4.0 Differentiation
5.0 Integration
6.0 Graphs
7.0 Significant Figures
8.0 Rounding off
9.0 Errors
10.0 Combination of errors
11.0 Length Measuring Instruments
12.0 Questions
Unit and Dimensions
1.0 Introduction
2.0 Physical quantity
3.0 SI units
4.0 SI prefixes
5.0 Conversion of units
6.0 Important practical units
7.0 Dimensions
8.0 Dimensional formula
9.0 Dimensional equation
10.0 List of dimensional formula
11.0 Application of dimensional analysis
12.0 Limitations of dimensional analysis
Basic Vectors
1.0 Introduction
2.0 Representation of vector
3.0 Basic definition related with vectors
4.0 Types of vectors
5.0 Angle between the vectors
6.0 Addition of vectors
7.0 Subtraction of vectors
8.0 Cartesian co-ordinate system
9.0 Resolving vector into its components
10.0 Dot product of two vectors
11.0 Cross product of two vectors
Motion in One Dimension
1.0 Introduction
2.0 Kinematic variables
3.0 Motion in one dimension
4.0 Derivation of the kinematics equation
5.0 Vertical motion under gravity
6.0 Analysis of motion through graph
7.0 Relative motion
8.0 Simultaneous motion of two bodies
9.0 River boat problem
10.0 Aircraft-wind problem
11.0 Rain problem
Motion in Two Dimension
1.0 Introduction
2.0 Projectile motion
3.0 Ground to ground projectile motion
4.0 Projectile thrown parallel to the horizontal
5.0 Projectile on an inclined plane
6.0 Relative motion between two projectiles
Laws of Motion
1.0 Newton’s first law of motion
2.0 Newton’s second law of motion
3.0 Newton’s third law of motion
4.0 Force
5.0 Normal Force
6.0 Gravitional Force
7.0 Tension Force
8.0 Pseudo force
9.0 Friction
10.0 Centripetal force
Circular Motion
1.0 Introduction
2.0 Dynamics of circular motion
3.0 Motion in a vertical circle
4.0 Rigid body rotating in a vertical circle
5.0 Circular turning of roads
6.0 Conical Pendulum
7.0 Death well
8.0 Rotor
9.0 Bending of a cyclist or motorcyclist while taking turn
10.0 Centrifugal force
Centre of Mass and Conservation of Linear Momentum
1.0 Introduction
2.0 Position of centre of mass of continuous bodies
3.0 Centre of mass of the remaining portion
4.0 Laws of conservation of linear momentum
5.0 Variable Mass
6.0 Impulse
7.0 Collision
8.0 Types of collision
9.0 Newton’s law of restitution
10.0 Head on elastic and inelastic collision
11.0 Collision in two dimension
12.0 Oblique collision
Work Energy and Power
1.0 Introduction
2.0 Work done by a constant force
3.0 Spring Force
4.0 Conservative & Non-conservative forces
5.0 Kinetic Energy
6.0 Potential energy (ΔU)
7.0 Work energy theorem
8.0 Power
9.0 Types of equilibrium
10.0 Work done by a distributed mass
Basics of Rotational Motion
1.0 Rigid body
2.0 Motion of rigid body
3.0 Kinematics of a plane motion
4.0 Moment of inertia
5.0 Radius of gyration
6.0 Theorems of moment of inertia
7.0 Moment of inertia of uniform continious rigid bodies
Rotational Dynamics
1.0 Introduction
2.0 Angular momentum or moment of a momentum
3.0 Relation between torque and angular momentum
4.0 Combined translational and rotational motion of a rigid body
5.0 Rotational kinetic energy
6.0 Uniform pure rolling
7.0 Accelerated pure rolling
8.0 Instantaneous axis of rotation
9.0 Toppling
Gravitation
1.0 Newton’s law of gravitation
2.0 Variation of acceleration due to gravity
3.0 Gravitational field
4.0 Gravitational potential
5.0 Gravitational potential energy
6.0 Satellites
7.0 Kepler’s law of planetary motion
8.0 Problem solving technique
Simple Harmonic Motion
1.0 Types of Motion
2.0 Causes of Oscillation
3.0 Solution of the Equation of SHM
4.0 Kinematics of SHM equation
5.0 Relation between Simple Harmonic Motion and Uniform Circular Motion
6.0 Sign Convention of a Simple Harmonic Motion
7.0 How to Write the Simple Harmonic Motion Equation
8.0 Force and Energy in Simple Harmonic Motion
9.0 Basic Differential Equation of SHM
10.0 Method for Calculating Time Period of a Simple Harmonic Motion
11.0 Spring Block System
12.0 Physical Pendulum
13.0 Vector Method of Combining Two or More Simple Harmonic Motions
14.0 Simple Harmonic Oscillation of a Fluid Column
Elasticity
1.0 Basic Definitions
2.0 Stress
3.0 Strain
4.0 Hooke’s Law and Modulus of Elasticity
5.0 Types of Modulus of Elasticity
6.0 Elongation of Rod Under its Self Weight
7.0 Bulk Modulus of Elasticity
8.0 Modulus of Rigidity
9.0 The Stress and Strain Curve
10.0 Analogy of Rod as a Spring
11.0 Potential Energy in a Stretched Wire
12.0 Thermal Stress & Strains
13.0 Poisson’s Ratio
14.0 Relation
Fluid Mechanics
1.0 Introduction
2.0 Fluid pressure
3.0 Pascal’s law
4.0 Buoyant force
5.0 Flow of fluids
6.0 Viscosity
7.0 Stoke’s law
8.0 Intermolecular forces
9.0 Angle of contact
Motion of Waves
1.0 Introduction
2.0 Mechanical waves
3.0 Properties of wave motion
4.0 Speed of a transverse wave on a string
5.0 Energy associated with a wave
6.0 Questions
Superposition of Waves
1.0 Introduction
2.0 Interference of Waves
3.0 Standing or Stationary Wave
4.0 Longitudinal stationary wave in an organ pipe
5.0 Beats
6.0 Questions
Sound Waves
1.0 Introduction
2.0 Displacement and pressure Waves
3.0 Speed of a longitudinal Wave
4.0 Doppler’s Effect
5.0 Application of doppler’s effect in different situations
6.0 Doppler’s effect in two dimension
7.0 Characteristic of Sound waves
Thermometry and Thermal Expansion
1.0 Introduction
2.0 Thermal Expansions and it’s types
3.0 Relation
4.0 Variation of Density with Temperature
5.0 The Expansion of Water
6.0 Questions
Kinetic Theory of Gases
1.0 Assumptions of Kinetic Theory of Gases
2.0 Ideal Gas
3.0 Expression For Pressure
4.0 Kinetic Interpretation of Temperature and Pressure
5.0 Ideal Gas Laws
6.0 Maxwells’s Distribution
7.0 Gas Speed
8.0 Degrees of Freedom
9.0 Law of Equipartition of Energy
10.0 Heat Capacity
11.0 Relation between Degree of Freedom and Specific Heat of Gas
12.0 Atomicity of a gas
First Law of Thermodynamics
1.0 Introduction
2.0 Three important terms in first law of thermodynamics.
3.0 First law of thermodynamics
4.0 Different thermodynamic processes
5.0 Graphs
6.0 Efficiency of cyclic process
7.0 Heat engine
8.0 Refrigerator
Calorimetry
1.0 Introduction
2.0 Principle of calorimetry
3.0 Specific heat capacity and molar heat capacity
4.0 Latent heat of fusion and vaporisation
5.0 Mechanical equivalent of heat
Heat Transfer
1.0 Conduction
2.0 Convection
3.0 Radiation
4.0 Kirchhoff’s Law
5.0 Wein’s displacement law
6.0 Stefan-Boltzman law
7.0 Newton’s laws of cooling
Electrostatics
1.0 Introduction
2.0 Electric charge
3.0 Coulomb’s law
4.0 Principle of superposition
5.0 Continuous charge distribution
6.0 Electric field
7.0 Electric field lines
8.0 Insulators and conductors
9.0 Gauss’s law
10.0 Work done
11.0 Electric potential energy
12.0 Electric Potential
13.0 Electric dipole
Capacitors
1.0 Introduction
2.0 Different types of capacitors and its capacitance.
3.0 Parallel Plate Capacitor
4.0 Capacitance of spherical conductor
5.0 Capacitance of a earthed sphere by a concentric spherical shell
6.0 Capacitance of a cylindrical capacitor
7.0 Mechanical force on the charged conductor
8.0 Redistribution of Charge
9.0 Dielectrics (Insulators) and Polarization
10.0 Combination of capacitors
11.0 Energy Density
12.0 Circuits
13.0 Method of Finding Equivalent Capacitance
14.0 Some important concepts
15.0 Van De Graaff Generator
Current Electricity
1.0 Introduction
2.0 Conduction of current in a metal
3.0 Ohm’s law
4.0 Combination of Resistors
5.0 Electromotive force
6.0 Heating effect of current
7.0 Wheatstone bridge
8.0 Metre Bridge Or Slide wire bridge
9.0 Potentiometer
10.0 Electrical devices
Magnetics
1.0 Introduction
2.0 The Magnetic Force on a Moving Charge
3.0 Direction of force
4.0 Lorentz force
5.0 Path or Motion of charged particle in uniform magnetic field
6.0 Deviation of charged particle in magnetic field
7.0 Motion of charge particle in both electric and magnetic field
8.0 Hall effect
9.0 Mass spectrograph
10.0 Cyclotron
11.0 Magnetic force on a current carrying conductor
12.0 Biot Savart Law
13.0 Summary (Important points & formulae)
Magnetism and Matter
1.0 Introduction
2.0 Coulomb’s Law
3.0 Magnetic Dipole
4.0 Current Carrying Loop
5.0 Gauss’s Law in Magnetism
6.0 Magnetic Moment of an Atom
7.0 Earth’s Magnetism
8.0 Tangent Law
9.0 Deflection Magnetometer
10.0 Vibration Magnetometer
11.0 Magnetic Flux
12.0 Magnetic Induction
13.0 Magnetic of Material
14.0 Classification of Magnetic Materials
15.0 Curie Law in Magnetism
16.0 Hysteresis
17.0 Retentivity or Residual Magnetism
18.0 Coercivity
19.0 Permanent Magnets
20.0 Electromagnets
21.0 Important Points
Electromagnetic Induction
1.0 Introduction
2.0 Magnetic Flux
3.0 Experiments by Faraday and Henry
4.0 Len’z Law:
5.0 Induced Electric Field
6.0 Eddy Current:
7.0 Inductor and Inductance:
8.0 Growth and Decay of current in an LR circuit:
Alternating Current
1.0 Introduction
2.0 Alternating current and alternating voltage
3.0 Some important terms
4.0 Circuit element in AC circuit
5.0 Power in AC circuit
Reflection of Light
1.0 Introduction
2.0 Reflection of light
3.0 Basic terminologies of spherical mirrors
4.0 Spherical mirror formulae
5.0 Magnification
6.0 Motion of object and image
Refraction of Light
1.0 Introduction
2.0 Laws of refraction
3.0 Apparent shift of an object
4.0 Thin lenses
5.0 Lens makers formula & Other Functions of lens.
6.0 Total internal reflection
7.0 Refraction through prism
8.0 Scattering of light
9.0 Optical instruments
Wave Optics
1.0 Introduction
2.0 Young’s double slit experiment
3.0 Diffraction of light
4.0 Polarisation
Basic Modern Physics
1.0 Photon theory of light
2.0 Characteristics of photon
3.0 Wave Particle Duality
4.0 Emission of electrons
5.0 Photoelectric Effect
6.0 Radiation Pressure And Force
7.0 Photon Density
8.0 Force exerted by a light beam on a surface
9.0 Early Atomic Structures
10.0 Bohr Model of The Hydrogen Atom
11.0 Energy of electron in the nth orbit
12.0 Basic Definitions
13.0 Atomic Excitation
Advanced Modern Physics
1.0 X-Rays
2.0 Moseley’s Law.
3.0 Nuclear Structure
4.0 Nuclear binding energy
5.0 Radioactivity
6.0 Radioactive decay law
Electromagnetic Waves
1.0 Introduction
2.0 Electromagnetic Waves
Communication Systems
1.0 Elements of a communication system
2.0 Radio waves
3.0 Modulation
Semi-conductor Devices and Electronics
1.0 Introduction
2.0 Types of semiconductor
3.0 Mass action law
4.0 Electrical conductivity in semiconductor
5.0 p-n junction
6.0 Breakdown voltage
7.0 characteristics of a p-n junction
8.0 Rectifier
9.0 Light emitting diode (LED)
10.0 Zener diode
11.0 Transistor
12.0 Boolean identities
13.0 Logic gates
14.0 De Morgan’s theorem
Chemistry
Stoichiometry
1.0 The Mole
2.0 The Limiting Reagent
3.0 Gravimetric Analysis
4.0 Volumetric Analysis
5.0 Calculation of n-factor
6.0 Redox Reactions
7.0 Titration
8.0 Iodimetric and Iodometric Titrations
9.0 Volume strength peroxide solution
10.0 Percentage Labeling of Oleum
11.0 Hardness of Water
Balancing Reaction
1.0 Balancing chemical equations
2.0 Balancing redox reactions
Eudiometry
Structure of Atom
1.0 Introduction
2.0 Cathode Ray Discharge Tube
3.0 Thomson Model of Atom
4.0 Rutherford Model of Atom
5.0 Atomic Number and Mass Number and It’s Relation
6.0 Planck’s Quantum Theory
7.0 Bohr’s Atomic Model
8.0 Dual Behaviour of Matter
9.0 Heisenberg Uncertainity Principle
10.0 Photoelectric Effect
11.0 Atomic Spectra
12.0 Quantum Mechanical Model of Atom
13.0 Quantum Number
14.0 Electronic Configuration of Elements
Periodic Table
1.0 Introduction
2.0 Modern Periodic Law & Modern Periodic Table
3.0 s,p,d,f Block Elements
4.0 Size and type of bonding in atoms.
5.0 Ionization Potential
6.0 Electron Affinity
7.0 Electronegativity
Chemical Bonding and Molecular Structure
1.0 Ionic Bond or Electrovalent Bond
2.0 Lattice Energy
3.0 Characteristics of Electrovalent Compounds
4.0 Covalent Bond (By Mutual Sharing of Electrons)
5.0 Characteristics of Covalent Compounds
6.0 Fajan’s Rule
7.0 Hydrogen Bonding
8.0 Coordinate Bond
9.0 Valence Shell Electron Pair Repulsion (VSEPR) Theory
10.0 Valence Bond Theory
11.0 Sigma and Pi Bonds ( and Bonds)
12.0 Hybridisation
13.0 Molecular Orbital Theory
Gaseous State
1.0 Introduction
2.0 Gas laws
3.0 Ideal gas equation
4.0 Dalton’s Law of Partial Pressure
5.0 Graham’s law of effusion or diffusion
6.0 Kinetic theory of gases
7.0 Relation between kinetic energy and temperature
8.0 Real gas (deviation from ideality)
9.0 Liquifaction of gases
Thermodynamics and Thermochemistry
1.0 Introduction to Thermodynamics
2.0 Thermodynamic Processes
3.0 Heat
4.0 Work
5.0 Internal Energy
6.0 Zeroth Law of Thermodynamic
7.0 First Law of Thermodynamics
8.0 Heat Capacity
9.0 Enthalpy or Heat Content
10.0 Significance
11.0 Relationship
12.0 Standard Enthalpy of Reaction
13.0 Law of Thermodynamics
14.0 Bond Energy or Bond Enthalpies
15.0 Second Law of Thermodynamic
16.0 Entropy (S)
17.0 Spontaneous Processes
18.0 Free Energy (G)
19.0 Enthalpy, Entropy, Free Energy Changes and The Nature of Process
20.0 Standard Free Energy Change
21.0 Coupled Reactions
22.0 Third Law of Thermodynamic
23.0 Important Facts
Chemical Equilibrium
1.0 Introduction
2.0 Chemical Equilibrium
3.0 Law of mass action
4.0 Equilibrium Constant
5.0 Important Relationship Involving Equilibrium Constant
6.0 Reaction Quotient and prediction of direction of reaction
7.0 Relationship
8.0 Factors Affecting Equilibrium (Le-Chatelier’s Principle)
Hydrogen
1.0 Basic Information
2.0 Atomic and Physical Properties of Hydrogen (reference: NCERT)
3.0 Dihydrogen
4.0 Physical Properties
5.0 Chemical Properties
6.0 Uses of Dihydrogen
7.0 Compounds of Hydrogen
8.0 Hard and Soft Water
9.0 Hydrogen Peroxide
10.0 Volume strength of Hydrogen Peroxide
s Block Elements
1.0 S-Block Elements
2.0 Alkali Metals
3.0 Anamolous Behaviour of Lithium
4.0 Diagonal Relationship and similarities with magnesium
5.0 Compounds of Sodium
6.0 Alkaline Earth Metals
7.0 Diagonal Relationship Similarities with Aluminium:
8.0 Anomalous Behaviour of Beryllium
9.0 Compounds of Calcium
p Block Elements
1.0 Group 13 The Boron Family
2.0 Boron
3.0 Compounds of boron
4.0 Compounds of Aluminium
5.0 Group 14 The Carbon family
6.0 Allotropes of Carbon
7.0 Compounds of Carbon
8.0 Properties of Silicon
9.0 Group 15-The Nitrogen Family
10.0 Oxides of nitrogen
11.0 Oxyacids of Nitrogen
12.0 Phosphorus
13.0 Oxygen
14.0 Sulphur
General Organic Chemistry
1.0 Introduction
2.0 Classification of organic compounds
3.0 Homologous series
4.0 Nomenclature of hydrocarbons
5.0 Nomenclature of compounds containing halogens and nitro groups
6.0 Nomenclature of compounds with functional groups named as suffixes
7.0 Nomenclature of aromatic compounds
8.0 Radicofunctional naming
9.0 Organic reactions
10.0 Electrophiles
11.0 Nucleophiles
12.0 Breaking and forming of bonds
13.0 Reaction intermediates
14.0 Electron displacement effects
15.0 Inductive effects
16.0 Hyperconjugation
17.0 Resonance
18.0 Mesomeric effect
19.0 Electromeric effect
20.0 Inductomeric effect
21.0 Steric inhibition of resonance
22.0 Ortho effect
Isomerism
1.0 Isomerism
2.0 Structural Isomerism
3.0 Tautomerism
4.0 Geometrical isomerism in the compounds containing C=N
5.0 Optical Isomerism
6.0 Optical isomerism in compounds having more than one chiral carbons
7.0 Optically active compounds having no asymmetric carbon
Hydrocarbons
1.0 Introduction
2.0 Alkanes
3.0 Methods of Preparation Alkanes
4.0 Physical Proparties
5.0 Chemical Properties
6.0 Alkenes
7.0 Methods of Preparation Alkenes
8.0 Physical Proparties
9.0 Chemical Properties
10.0 Mechanism Of Some Important Reaction Of Alkenes
11.0 Alkynes
12.0 Methods of Preparation Alkynes
13.0 Physical Properties
14.0 Chemical Properteis
15.0 Modern Concept
16.0 Properteis
17.0 Mechanism of Electrophilic Substitution Reactions
18.0 Toluene
19.0 Alkenyl Benzene
Aromatic Compounds
1.0 The Structure of Benzene
2.0 Electrophilic Aromatic Substitution Reactions
3.0 Nitration
4.0 Sulphonation
5.0 Halogenation
6.0 Friedel-Crafts Alkylation
7.0 Friedel-Crafts Acylation
8.0 Orientation and Reactivity in Electrophilic Aromatic Substitution
9.0 Ortho / Para Ratio
10.0 Reactions of Alkyl Benzenes
Enviromental Chemistry
1.0 Introduction
2.0 Environmental Pollution
3.0 Types Of Pollution
4.0 Particulates
5.0 Control Of Air Pollution
6.0 Stratospherical Pollution: (Ozone Layer & its depletion)
7.0 Acid Rain
8.0 Green House Effect & Global Warming
9.0 BOD Determination
10.0 COD determination
Solid State
1.0 Classification of Solids
2.0 Types of Lattice
3.0 Calculation of number of particles in a Unit Cell
4.0 Close Packing in Crystals
5.0 Calculation of Spaces occupied i.e., Packing Fraction
6.0 Calculation of density of a cubic crystal from its edge
7.0 Classification of Ionic Structures
8.0 Imperfection in Solids
9.0 Properties of Solids
10.0 Silicates
Solutions
1.0 Solution
2.0 Methods of expressing concentration of a Solution
3.0 Solubility
4.0 Henry’s law
5.0 Raoult’s law
6.0 Azotropes
7.0 Colligative Properties
8.0 Abnormal Colligative Properties
Surface Chemistry
1.0 Introduction
2.0 Adsorption
3.0 Factors affecting adsorption of gases by solids
4.0 Adsorption Isotherms
5.0 Applications of Adsorption
6.0 Types of Solutions
7.0 Colloidal System
8.0 Coagulation of colloidal solutions
9.0 Emulsions
10.0 Catalysis
11.0 Zeolites as shape-selective catalysts
12.0 Enzyme as catalysts
Chemical Kinetics
1.0 Introduction
2.0 Rate of a chemical reaction
3.0 Rate Law
4.0 Order of a reaction
5.0 Molecularity of a reaction
6.0 Integrated Rate Laws
7.0 Arrhenius Equation
Ionic Equilibrium
1.0 Reversible Reaction
2.0 Scale
3.0 Arrehenius Theory of Electrolyte Ionization (Dissociation)
4.0 Ionization of Water
5.0 Determination of acids and bases
6.0 Salt Hydrolysis
7.0 Buffer Solution
8.0 Solubility and Solubility Product
Electrochemistry
1.0 Introduction
2.0 Conductors and Non-Conductors
3.0 Electrochemical Cells
4.0 Electrolysis and electrode Reactions
5.0 Electrochemical Cell
6.0 Electrode Potential
7.0 Nature of Electrodes
8.0 IUPAC Cell Representation and Convention
9.0 Standard Cell EMF and Standard Reduction Potential
10.0 Electropositive Character of Metals
11.0 Difference between EMF and potential difference
12.0 Nernst Equation
13.0 Laws of Electrolysis
14.0 Electromotive Force
15.0 Thermodynamics of the Cells
16.0 Concentration Cells
17.0 Battery
18.0 Fuel Cell
Ores and Metallurgy
1.0 Basic Definitions
2.0 Classification of Ores
3.0 Metallurgy
4.0 Steps of Metallurgy
5.0 Metallurgy of some important metals
d and f Block Elements
1.0 General Introduction and Electronic Configuration
2.0 Occurrence and General Characteristics of Transition Elements
3.0 General Trends in properties of First Row Elements
4.0 Potassium dichromate
5.0 Potassium permanganate
6.0 F-Block Elements – Introduction
7.0 Lanthanoid Series
8.0 Lanthanoid Contraction and its consequence
9.0 Actinoids Series
10.0 Comparison between lanthanoids and actinoids
Coordination Compounds
1.0 Basics
2.0 Addition Salt
3.0 Nomenclature of Co-ordination Compounds
4.0 Werner’s Co-ordination Theory
5.0 Valence bond theory
6.0 Crystal field splitting theory (CFST)
7.0 Effective atomic number
8.0 Magnetic Moment
9.0 Application of Crystal Field Splitting Theory (CFST)
10.0 Isomerism in Co-ordination compounds
11.0 Organo-metallic compounds
12.0 Stability of Co-ordination compounds
Salt Analysis
1.0 Basic Information
2.0 Classification of Anions
3.0 Classification of Cations
4.0 Identification of Basic Radicals
Alkyl Halides and Aryl Halides
1.0 Alkyl halides
2.0 Halogen Derivatives of Unsaturated Hydrocarbons
3.0 Nomenclature
4.0 Isomerism
5.0 Nature of bond
6.0 Preparation
7.0 Physical Properties
8.0 Chemical Properties
9.0 Elimination Reactions
10.0 Reaction with Metals
11.0 Aryl Halides
12.0 Chemical Properties of Aryl Halides
13.0 Halogenation
14.0 Sulphonation
15.0 Nitration
16.0 Friedel-Craft’s alkylation
17.0 Friedel Craft’s acylation
Alcohols, Phenols and Ethers
1.0 Alcohols
2.0 Classification of alcohols
3.0 Physical properties of the alcohol
3.0 Physical properties of the alcohols
4.0 Preparation of Alcohol
5.0 Grignard reagent
6.0 Chemical properties of alcohols
7.0 Tests for Alchols
8.0 Ethers
9.0 Chemical Properties of Ethers
10.0 Aryl Ethers
11.0 Epoxides
12.0 Phenols
13.0 Preparation of Phenol
14.0 Physical Properties of Phenol
15.0 Chemical properties of phenols
Aldehydes and Ketones
1.0 Introduction
2.0 Methods of Preparation
3.0 Physical Properties
4.0 Relative Reactivities of Carbonyl Compounds
5.0 Addition of Carbon Nucleophiles
6.0 Haloform Reactions
7.0 Aldol Condensations
8.0 Claisen Condensation
9.0 Intramolecular Claisen Condensation
10.0 Cannizzaro Reaction
11.0 Reformatsky Reaction
12.0 Addition of Nitrogen Nucleophiles
13.0 Addition of Oxygen Nucleophile
14.0 Addition of Sulphur Nucleophile
15.0 Oxidation of Aldehydes And Ketones
16.0 Reduction of Aldehyde and Ketones
17.0 Other Reactions Of Aldehydes And Ketones
Carboxylic Acids and Derivatives
1.0 Nomenclature
2.0 General Methods of Preparation
3.0 Physical Properties of Carboxylic Acid
4.0 Chemical Properties of Carboxylic Acid
5.0 Ortho Effect
6.0 Reaction Involving Cleavage of OH Group
7.0 Reaction Involving COOH Group
8.0 Hell-Volhard-Zelinsky Reaction
9.0 Heating of Dicarboxylic Acids
10.0 Abnormal Behaviour of Formic Acid
11.0 Derivatives of Carboxylic Acid
12.0 Relative Reactivity of Acid Derivatives
13.0 Resonance Effect
14.0 Acyl Chloride RCOCl
15.0 Amides
16.0 Ester (RCOOR)
17.0 Acid Anhydrides
18.0 Method of Preparation
Amines
1.0 Introduction
2.0 Preparation of Amines
3.0 Physical Properties
4.0 Basic Nature of Amines
5.0 Reactions of Amines
Biomolecules
1.0 Carbohydrates
2.0 Monosaccharides
3.0 Disaccharides
4.0 Polysaccharides
5.0 Amino Acids
6.0 Proteins
7.0 Classification of Vitamins
8.0 Nucleic acids
Polymers
1.0 Introduction
2.0 Polymers and polymerization
3.0 Free-radical vinyl polymerization
4.0 Ionic Polymerization
5.0 Natural Rubber
6.0 Synthetic Rubber
7.0 Polyvinyl Chloride (PVC)
8.0 Teflon or PTFE (Polytetrafluoro ethylene)
9.0 Nylon-66
Practical Organic Chemistry
1.0 Detection of Elements in Organic Compound
2.0 Summary of Solubilitiy Behaviour
3.0 Detection of Functional Group
4.0 Methods of Separation of Mono-functional Organic Compounds from Binary Mixtures
5.0 Separation based on Differences in the volatilities of the component in aqueous solution
6.0 Determination of Empirical Formula and Molecular Formula
7.0 Solved Example (Subjective)
Chemistry in Everyday Life
1.0 Chemicals In Medicine And Health Care
2.0 Drugs And Medicines
3.0 Dyes
4.0 Cosmetics
5.0 New High Performance Materials
6.0 Ceramics
7.0 Chemicals In Food
8.0 Detergents
9.0 Rocket Propellants
10.0 Insect Sex Attractants (Pheromones)
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