Arunachal Pradesh Board Class 11

Chapters

Topics

Set and Function 

Sets

Relation and Function

Trigonometric Functions

Sets and their representation

Finite and Infinite sets

Empty sets

Equal sets

Subsets

Subsets of a set of equal numbers

Power sets

Universal sets

Venn diagrams

Union and Intersection of sets

Difference of sets

Complement of Sets

Properties of Complement

Ordered pairs

Cartesian product of sets

Cartesian products of real of sets with itself

Definition and range of Relation

Domain, Codomain

Pictorial diagrams

Functions, domain and range with real values

Polynomial, rational, modulus, signum, exponential, logarithmic and largest integer functions

Sum, difference, product and quotient of these functions 

Algebra

Principles of Mathematical Induction

Complex Numbers and Quadratic Equations

Linear Inequalities

Permutation and Combinations

Binomial Theorem

Sequences and Series

Simple uses of Mathematical induction principle

Linear inequalities

Number line representation of algebraic solutions of Linear inequalities in one variable

Linear inequalities in two variables graphically solved

Linear inequalities in two variables using graphical techniques

Coordinate Geometry

Straight Lines

Conic Sections

Introduction to Three dimensional Geometry

Brief recall of two dimensional geometry

The slope of lines and the angles between two lines

Various forms of equations of a line

General equation of a line

Equation of family of lines passing through the point of intersection of two lines

Distance of a point from a line

Coordinate axes and coordinate planes in two dimensions

Coordinates of a point

Distance between two points and sections formula

Calculus

Limits and Derivatives

Derivative introduced as a rate of change

Limitation is an intuitive concept

Polynomial and Rational function limits

Trigonometric, exponential and logarithmic functions

Scope of tangent of the curve

Derivative of sum, difference, product and quotient of functions

Polynomial and trigonometric functions have derivatives

Mathematical Reasoning

Mathematically sound statements

Validating claims containing linking words

Contradiction, contrast and contrapositive

Statistics and Probability

Probability

Measures of Dispersion

Range

Mean deviation

Variance and Standard deviation of grouped and ungrouped data

Frequency distribution with the same mean but different variances

Random experiments, outcomes and sample spaces

Axiomatic probability

Connections with other theories of earlier classes

Probability of an event

Chapters

Topics

Physical world and measurement

Physical world

Units of measurement

Nature of physical laws

Physics, technology and society

Units of measurement

SI units

Fundamental and Derived Units

System of Units

Length, mass and time measurement

Errors in measurement

Accuracy and precision of measuring instruments

Dimensions of physical quantities

Dimensional analysis and its applications

Kinematics

Motion in a straight line

Motion in a Plane

Motion in a straight line

Position-time graph

Speed and Velocity

Average speed and instantaneous velocity

Relations for uniformly accelerated motion

General vectors and their notations

Equality of vectors

Multiplication of vectors by real numbers

Addition and subtraction of vectors

Resolution of a vector in a plane

Scalar and vector products of vectors

Unit vector

Laws of motion

Intuitive concept of Force

Newton’s first law of motion

Newton’s third law of motion

Inertia 

Impulse

Equilibrium of concurrent forces

Static and kinetic friction

Laws of friction

Rolling friction

Lubrication

Work, energy and power

Work done by constant force and variable force

Work energy theorem

Power

Kinetic energy

Potential energy of a spring

Motion in a vertical circle

Notion of potential energy

Non conservative forces

Elastic and inelastic collisions in one and two dimensions

Motion of a system of particles and rigid body

System of particles and rotational motion

Center of mass of a 2 particle system

Center of mass of a rigid body

Center of mass of a uniform rod

Law of conservation of angular momentum and its applications

Equilibrium of rigid bodies

Rigid body rotation and equations of rotational motion

Comparison of linear and rotational motion

Moment of inertia

Radius of gyration

Moment of force, torque and angular momentum

Value of moments of inertia for simple geometrical objects

Statement of parallel and perpendicular axes theorem and its applications

Gravitation 

Kepler’s laws of planetary motion

Universal law of gravitation

Acceleration due to gravity and its variation with depth

Orbital velocity of a satellite

Escape velocity

Geostationary satellites

Gravitational potential energy and gravitational potential

Effect of gravity on fluid pressure

Properties of bulk matter

Mechanical properties of solids and fluids

Thermal properties of matter

Elastic behavior

Stress strain relationship

Pressure due to a fluid column

Poisson’s ratio

Pascal’s law and its application

Heat

Temperature

Thermal expansion

Thermal expansion of solids, liquids and gases

Anomalous expansion of water

Specific heat capacity

Change of state- Latent heat capacity

Thermodynamics

Thermal equilibrium and change of temperature

First law of thermodynamics

Isothermal and adiabatic processes

Heat, work and internal energy

Second law of thermodynamics

Reversible and irreversible processes

Heat engine and refrigerator

Kinetic theory of gases and behavior of perfect gases

Equation of the state of a perfect gas, work done in the compressing of gas

Kinetic theory of gases

Assumptions

Degrees ofdom

Law of equipartition of energy

Concept of mean path

Avogadro’s number

Kinetic interpretation of number

Rms speed of gas molecules

Waves and oscillations

Periodic motion- Time period

Displacement as a function of time

Periodic functions

Simple harmonic motion and its equation

Phase

Oscillations of a loaded spring

Forces and force constant

Reflection of light

Spherical mirrors

Total internal reflection and its applications

Refraction of light

Refraction at spherical surfaces

Lenses

Thin lens formula

Lensmaker’s formula

Magnification

Power of a lens

Refraction and dispersion of light through prism

Chapters

Topics

Some basic concepts of Chemistry

Importance and Scope of Chemistry

Nature of matter

Laws of Chemical combination

Dalton’s atomic theory

Concept of elements- Atoms and molecules

Atomic and molecular masses

Mole concept and mole mass

Percentage composition

Empirical and Molecular formula

Chemical reactions

Stoichiometry and calculations based on stoichiometry

Structure of atom

Discovery of electrons, protons, and neutrons

Isotopes and Isobars

Atomic number

Thomson’s model and its limitations

Rutherford’s model and its limitations

Bohr’s model and its limitations

Dual nature of matter and light

De Broglie’s relationship

Concept of orbitals

Classification of elements and periodicity in properties

Brief history of the development of the periodic table

Significance of classification

Modern periodic law and present form of periodic table

Ionic radii

Inert gas radii

Ionization enthalpy

Electron gain enthalpy

Electronegativity

Valency

Chemical bonding and molecular structure

Ionic bond

Covalent bond

Bond parameters

Covalent structure of Ionic bond

Valence bond theory

Molecular orbital theory of homonuclear diatomic molecules

Hydrogen bond

States of matter- Gases and liquids

Three states of matter

Intermolecular interactions

Types of bonding

Boyle’s law

Charles law

Intermolecular interactions

Melting and boiling points

Empirical derivation of gas equation

Deviation from ideal behavior

Liquid state- vapour pressure

Viscosity and surface tension

Basic principles and techniques of organic chemistry

General introduction

Methods of purification

Qualitative and quantitative analysis

Resonance and hyperconjugation

Classification and IUPAC nomenclature of Organic compounds

Inductive effect

Electromeric effect

Homolytic and heterolytic fission of a covalent bond

Carbocations

Carbanions

Types of organic reactions

Electrophiles and nucleophiles

Hydrogen

Position of hydrogen in the periodic table

Properties and uses of hydrogen

Isotopes 

Preparation

Physical and Chemical properties of water

Hydrides

Reactions and structure and use of hydrogen as 

Chemical thermodynamics 

System concepts and time

Work, heat, and energy

Internal energy and Enthalpy

Measuring U and H

Atomization

Sublimation

Combustion

Phase transition

Ionization

Second law of Thermodynamics

Gibbs energy change for spontaneous and non-spontaneous processes

Introduction of entropy as a state of function

Third law of Thermodynamics

Equilibrium

Equilibrium physical and Chemical processes

Law of mass action

Equilibrium constant

Dynamic nature of equilibrium

Factors affecting equilibrium

Ionization of Polybasic acids

Acid strength

Henderson equation

Polybasic product

Concept of pH

Redox reactions

Concept of oxidation and reduction

Redox reaction

Oxidation number

Loss and gain of electrons and change of oxidation number

Application of redox reactions

s-Block elements

Introduction

Group 1 and Group 2 elements

Electronic configuration

Occurrence

Diagonal relationships

Anomalous properties of the first element of each group

Trends in property variation

Trends in chemical reactivity with oxygen

Hydrogen, halogens and its applications

Water

p-Block elements

Introduction to p-block elements

Overview, electronic configuration, occurrence, configuration,anomalous features of group’s founding element,chemical reactivity trends of Group 13 elements

Anomalous features of Group’s founding element- Boron

Group 14 elements- Overview, electronic configuration, occurrence, configuration,anomalous features of group’s founding element,chemical reactivity trends

Allotropic structures

Physical and Chemical characteristics

Carbon catenation

Hydrocarbons

Classification of hydrocarbons

Aliphatic hydrocarbons

Alkanes- Nomenclature,physical properties, chemical reactions, Isomerism

Alkenes- Geometrical isomerism, Nomenclature,geometrical isomerism, physical properties,methods of preparation, chemical reactions, Ozonolysis, mechanism of electrophilic addition

Alkynes- Nomenclature, triple bond structure, physical features, methods of synthesis,acidic character of alkynes, addition reactions of hydrogen, halogens, hydrogen halides and water

Environmental Chemistry

Environmental pollution

Air,water and soil pollution

Major atmospheric pollutants

Depletion of ozone layer

Chemical reactions in atmospheric smog

Greenhouse effect and global warming

Green chemistry as an alternative tool for reducing pollution

Strategies for control of environmental pollution

Pollution due to industrial wastes

Units

Topics

Diversity of living organisms

The living world

Biological classification- Five kingdom classification

Plant kingdom- Salient features and classification of plants into major groups-Algae, Bryophyta, Pteridophyta, Gymnosperms and Angiosperms

Animal kingdom- Salient features and classification of animals into non-chordates(upto phyla level) and Chordates (upto class level)

Structural organizations in Animals and Plants

Morphology of flowering plants

Anatomy of flowering plants

Structural organization in animals

Cell structure and function

Cell- The Unit of life

Biomolecules- Chemical constituents of living cells

Cell cycle and cell division- Mitosis, Meiosis and their significance

Plant physiology

Transport in Plants- Movement of water, gases and nutrients

Mineral nutrients- Essential nutrients, micronutrients, micronutrients and their role

Photosynthesis in Higher Plants, Factors affecting photosynthesis

Respiration in Plants- Exchange of gases

Plant growth and development

Animal physiology

Digestion and absorption

Breathing and exchange of gases

Body fluids and Circulation

Excretory products and their elimination

Locomotion and movement

Neural control and coordination

Chemical coordination and integration