BITSAT 2020 Syllabus

Units & Measurement

• Systems of units, SI unit’s definition, and measurement,

• Fundamental and derived units

• Dimensional Analysis In measurements

• Fundamental concepts of measurements

Kinematics

• Definition of vectors

• Magnitude, directions, and properties of vectors

• Vector types

• Constant acceleration motion

• Types of motion

Newton’s Laws of Motion

• Measurement of motion

• Circular motion

• Centripetal force

• Inertial and non-inertial frames

Impulse and Momentum

• Law of Conservation of momentum

• The momentum of a system of particles

Work and Energy

• Work-done by a force

• Kinetic and potential energy definition and differences

• Work-energy theorem

• Power

• Conservative forces and potential energy

• Conservation of mechanical energy

Rotational Motion

• Description of rotation

• Definition and equation for angular displacement angular velocity and angular acceleration

• Constant angular acceleration in rotational motion

• Definition of the moment of inertia

• Parallel and perpendicular axes theorem Rotational kinetic energy

• Torque and angular momentum

• Conservation of angular momentum

• Rolling motion

Gravitation

• Newton’s law of gravitation

• Gravitational potential energy

• Escape velocity

• The motion of planets – Kepler’s laws,

• Satellite motion

Mechanics of Solids and Fluids

• Elasticity

• Pressure, density, and Archimedes’ principle

• Viscosity and Surface Tension

• Bernoulli’s theorem

Oscillations

• Kinematics of simple harmonic motion

• Spring mass system

• Simple and compound pendulum

• Forced & damped oscillations

• Resonance

Waves

• Progressive sinusoidal waves

• Standing waves in strings and pipes

• Superposition of waves and beats

• Doppler Effect

Heat and Thermodynamics

• Kinetic theory of gases

• Thermal equilibrium and temperature

• Specific heat

• Heat Transfer – Conduction, convection, and radiation,

• Thermal conductivity

• Newton’s law of cooling

• Work, heat and the first law of added thermodynamics

• 2^nd law of thermodynamics

• Carnot engine – Efficiency and Coefficient of performance

Electrostatics

• Coulomb’s law

• Electric field-discrete and continuous charge distributions

• Electrostatic potential and Electrostatic potential energy

• Gauss’ law and its applications

• Electric dipole

• Capacitance and dielectrics and its types

• parallel plate capacitor

• Capacitors in series and parallel circuits

Current Electricity

• Ohm’s law

• Joule heating

• D.C circuits – Resistors and cells in series and parallel, Kirchoff’s laws, potentiometer and Wheatstone

• bridge

• Electrical Resistance (Resistivity, origin and temperature dependence of resistivity)

Magnetic Effect of Current

• Biot-Savart’s law and its applications

• Ampere’s law and its applications

• Lorentz force, the force on current-carrying conductors in a magnetic field

• The magnetic moment of a current loop, torque on a current loop, Galvanometer and its conversion to voltmeter and ammeter

Electromagnetic Induction

• Faraday’s law, Lenz’s law, eddy currents

• Self and mutual inductance

• Transformers and generators

• Alternating current (peak and RMS value)

• AC circuits, LCR circuits

Optics

• Laws of reflection and refraction

• Lenses and mirrors

• Optical instruments – telescope and microscope

• Interference – Huygen’s principle, Young’s double-slit experiment

• Interference in thin films

• Diffraction due to a single slit

• Electromagnetic waves and their characteristics (only qualitative ideas), Electromagnetic spectrum

• Polarization – states of polarization, Malus’ law, Brewster’s law

Modern Physics

• Dual nature of light and matter – Photoelectric effect, De Broglie wavelength

• Atomic models – Rutherford’s experiment, Bohr’s atomic model

• XIV

• Hydrogen atom spectrum

• Radioactivity

• Nuclear reactions: Fission and fusion, binding energy

Electronic Devices

• Energy bands in solids (qualitative ideas only), conductors, insulators and semiconductors;

• Semiconductor diode – I-V characteristics in forward and reverse bias, diode as a rectifier; I-V

• characteristics of LED, photodiode, solar cell, and Zener diode; Zener diode as a voltage regulator.

• Junction transistor, transistor action, characteristics of a transistor; transistor as an amplifier (common

• emitter configuration) and oscillator

• Logic gates (OR, AND, NOT, NAND and NOR). Transistor as a switch

States of Matter

• Measurement

• Chemical reactions and governing laws

• Masses and the molecular formula

• Three states of matter

• Gaseous state and governing laws

• Liquid state and governing laws

• Solid-state and governing laws

• Amorphous solids

Atomic Structure

• Definitions

• Quantum mechanics of atoms

• Hydrogen atom

• Many electron atoms principle

• Periodicity and nomenclature

Chemical Bonding & Molecular Structure

• Valence electrons, Ionic Bond

• Molecular Structure

• Covalent Bond

• Resonance

• Dipole moments

Thermodynamics

• Basic Concepts

• First Law of Thermodynamics

• Second Law

• Third Law

Physical and Chemical Equilibria

• Concentration Units

• Solutions

• Physical Equilibrium

• Chemical Equilibria

• Ionic Equilibria

• Factors Affecting Equilibria

Electrochemistry

• Redox Reactions

• Electrolytic Conduction

Chemical Kinetics

• Aspects of Kinetics

• Factor Affecting the Rate of the Reactions

Surface Chemistry

• Adsorption

• Activity and selectivity

• lyophilic, lyophobic molecules

• Properties of colloids

Hydrogen and s-block elements

• Hydrogen element

• s-block elements

• Alkali metals

• Alkaline earth metals

• Salts

p- d- and f-block elements

• Group 13 elements

• Group 14 elements

• Group 15 elements

• Group 16 elements

• Group 17 and group 18 elements

• d-Block elements

• f-Block elements

• Coordination Compounds

Principles of Organic Chemistry and Hydrocarbons

• Classification

• Covalent bond

• Alkanes

• Alkenes and alkynes

• Aromatic hydrocarbons

• Haloalkanes and haloarenes

Stereochemistry

• Conformations

• Geometrical isomerism in alkenes

Biological, Industrial and Environmental chemistry

• Carbohydrates

• Proteins

• Nucleic Acids

• Vitamins

• Polymers

• Pollution

• Chemicals in medicine

Theoretical Principles of Experimental Chemistry

• Volumetric Analysis

• Qualitative analysis

• Physical Chemistry Experiments

• Purification Methods

• Quantitative Analysis of Organic Compounds

• Principles of Organic Chemistry Experiments

• Basic Laboratory Technique

Grammar

• Agreement, Time and Tense, Parallel construction, Relative pronouns

• Determiners, Prepositions, Modals, Adjectives

• Voice, Transformation

• Question tags, Phrasal verbs

Vocabulary

• Synonyms, and antonyms

• Homophones

• Contextual meaning

Reading Comprehension

• Vocabulary

• Referents

• Idioms/Phrases

• Reconstruction

Composition

• Rearrangement

• Paragraph Unity

• Linkers/Connectives

Verbal Reasoning

• Analogy

• Classification

• Series Completion

• Logical deduction

Non-verbal Reasoning

• Pattern identification

• Figure formation and analysis

• Paper cutting

• Figure matrix

• Rule identification

Algebra

• Complex numbers

• Quadratic equations

• Progressions

• Logarithm

• Exponential series

• Permutations and combinations

• Binomial Theorem

• Matrices operations

• Set theory

• Mathematical reasoning

• Linear inequalities

Trigonometry

• Radians and degrees

• Measurement of angles

• Positive and negative angles

• Trigonometric ratio

• Trigonometric equations and its solutions

• Inverse trigonometric functions

Coordinate Geometry – Two-dimension

• Cartesian coordinates

• Lines

• Circles

• Conic sections

Coordinate Geometry – Three dimension

• Planes

Differential Calculus

• Derivatives if functions

• Geometric interpretation

• Maxima and minima of a function

• Rolle’s theorem

Integral Calculus

• Inverse of differentiation

• Methods of integration

• Definite integrals

• Application of integrals

Differential Equations

• Order and degree of differential equations

• Solution of homogenous equations

• Linear first order equations

Probability

• Definitions, operations

• Conditional probability

• Independent events

• Random Variables

Vectors

• Dot and cross product

• Geometrical interpretations

Statistics

• Measure of dispersion

• Analysis of frequency distribution

Linear Programming

• Terminology and formulation of linear programming

• Solution using graphical methods

• Feasible and infeasible solutions

• Optimizing solutions

Mathematical Modeling

• Use of matrices, calculus and linear programming for formulating real-life problems

Diversity in the Living world

• The relevance of biology to mankind

• Taxonomy and categories

• Two and five-kingdom systems

• Classification of the living organism

• Plant kingdom – algae to angiosperms

• Animal kingdom – non-chordates and chordates

Cell: The Unit of life – Structure, and function

• Cell parts – wall, membrane, endomembrane, ribosomes, mitochondria, nucleus, etc.

• Prokaryotic and eukaryotic cells

• Plant and animal cells

• Mitosis and meiosis

• Biomolecules

• enzymes

Genetics and Evolution

• Mendelian inheritance

• Linkage and crossing over

• DNA

• Genetic regulation and expression

• Theories of evolution

Plants – Structure and function

• Morphology

• Absorption of water and food

• Photosynthesis

• Respiration

• Mineral nutrition

Animals – Structure and function

• Human physiology

• Fluids and circulation

• Excretion system

• Locomotion and movement

• Control and coordination

Growth in plants

• Reproduction – sexual and asexual

• Growth phases

• Dormancy, germination, and movement

• Apical dominance

• Types of movements

Growth in Humans

• Reproductive systems – male and female

• Classification of ecology

• Energy flow

• Ecological adaptations

• Biodiversity and environmental issues

Biology and human welfare

• Animal husbandry

• Diseases like cancer and AIDS

• Adolescence and drug usage

• Immunology

• Plant breeding and tissue culture

Biotechnology and its Applications

• Microbes and microbial technology

• Food processing

• Recombinant DNA technology

• Applications of R-DNA in human health

• Industrial and agricultural applications