# BITSAT Syllabus 2020 – Physics, Chemistry, Mathematics, & Biology

By | May 9, 2020 BITS, Pilani organizes this university-level engineering entrance exam for admissions to undergraduate engineering courses at its four campuses. The courses that come under this are BE, BPharm and MSc programs. This exam is conducted annually, and approximately 3 lakh students appear in it. The four campuses of BITS are located in Pilani, Goa, Hyderabad, and Dubai. In this article, you will get complete information regarding the BITSAT Syllabus 2020

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## BITSAT Syllabus 2020

A candidate who has applied for BITSAT must stay updated with the syllabus of the examination. Knowing the syllabus saves a lot of time as the candidates know what must be studied. The syllabus is divided into five parts. The complete part-wise syllabus is given below:

• Part 1: Physics
• Part 2: Chemistry
• Part 3: English
• Part 4: Mathematics
• Part 5: Biology

### Physics:

 1. Units & Measurement Units (Different systems of units, SI units, fundamental and derived units) Dimensional Analysis Precision and significant figures Fundamental measurements in Physics (Vernier callipers, screw gauge, Physical balance etc.) 2. Kinematics Properties of vectors Position, velocity and acceleration vectors Motion with constant acceleration Projectile motion Uniform circular motion Relative motion 3. Newton’s Laws of Motion Newton’s laws (free body diagram, resolution of forces) Motion on an inclined plane The motion of blocks with pulley systems Circular motion – centripetal force 4. Impulse and Momentum Definition of impulse and momentum Conservation of momentum Collisions The momentum of a system of particles Center of mass 5. Work and Energy Work done by a force Kinetic energy and work-energy theorem Power Conservative forces and potential energy Conservation of mechanical energy 6. Rotational Motion Description of rotation (angular displacement, angular velocity and angular acceleration) Rotational motion with constant angular acceleration Moment of inertia, Parallel and perpendicular axes theorems, rotational kinetic energy Torque and angular momentum Conservation of angular momentum Rolling motion 7. Gravitation Newton’s law of gravitation Gravitational potential energy, Escape velocity The motion of planets – Kepler’s laws, satellite motion 8. Mechanics of Solids and Fluids Elasticity Pressure, density and Archimedes’ principle Viscosity and Surface Tension Bernoulli’s theorem 9. Oscillations Kinematics of simple harmonic motion Spring mass system, simple and compound pendulum Forced & damped oscillations, resonance 10. Waves Progressive sinusoidal waves Standing waves in strings and pipes Superposition of waves, beats Doppler Effect 11. 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 thermodynamics 2nd law of thermodynamics, Carnot engine – Efficiency and Coefficient of performance 12. 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 (parallel plate capacitor, capacitors in series and parallel) 13. 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). 14. Magnetic Effect of Current Biot-Savart’s law and its applications Ampere’s law and its applications Lorentz force, force on current carrying conductors in a magnetic field Magnetic moment of a current loop, torque on a current loop, Galvanometer and its conversion to voltmeter and ammeter 15. 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 16. 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 17. Modern Physics Dual nature of light and matter – Photoelectric effect, De Broglie wavelength Atomic models – Rutherford’s experiment, Bohr’s atomic model Hydrogen atom spectrum Radioactivity Nuclear reactions : Fission and fusion, binding energy 18. 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.

### Mathematics:

 1. Algebra Complex numbers, addition, multiplication, conjugation, polar representation, properties of modulus and principal argument, triangle inequality, roots of complex numbers, geometric interpretations; Fundamental theorem of algebra. Theory of Quadratic equations, quadratic equations in real and complex number system and their solutions, the relation between roots and coefficients, nature of roots, equations reducible to quadratic equations. Arithmetic, geometric and harmonic progressions, arithmetic, geometric and harmonic means, arithmetic and geometric series, sums of finite arithmetic and geometric progressions, infinite geometric series, sums of squares and cubes of the first n natural numbers. Logarithms and their properties. Exponential series. Permutations and combinations, Permutations as an arrangement and combination as selection, simple applications. Binomial theorem for a positive integral index, properties of binomial coefficients, Pascal’s triangle Matrices and determinants of order two or three, properties and evaluation of determinants, addition and multiplication of matrices, adjoint and the inverse of matrices, Solutions of simultaneous linear equations in two or three variables, elementary row and column operations of matrices, types of matrices, applications of determinants in finding the area of triangles. Sets, Relations and Functions, algebra of sets applications, equivalence relations, mappings, one-one, into and onto mappings, the composition of mappings, binary operation, the inverse of a function, functions of real variables like polynomial, modulus, signum and greatest integer. Mathematical reasoning and methods of proofs, Mathematically acceptable statements. Connecting words/phrases – consolidating the understanding of “ if and only if (necessary and sufficient) condition”, “implies”, “and/or”, “implied” by”, “and”, “or”, “ there exists” and through a variety of examples related to real life and Mathematics. Validating the statements involving the connecting words – the difference between contradiction, converse and contrapositive., Mathematical induction Linear Inequalities, solution of linear inequalities in one variable ( Algebraic) and two variables (Graphical). 2. Trigonometry Measurement of angles in radians and degrees, positive and negative angles, trigonometric ratios, functions with their graphs and identities. The solution of trigonometric equations. Inverse trigonometric functions 3. Two-dimensional Coordinate Geometry Cartesian coordinates, the distance between two points, section formulae, the shift of origin. Straight lines and pair of straight lines: Equation of straight lines in various forms, the angle between two lines, the distance of a point from a line, lines through the point of intersection of two given lines, equation of the bisector of the angle between two lines, concurrent lines. Circles: Equation of a circle in standard form, parametric equations of a circle. Conic sections: parabola, ellipse and hyperbola their eccentricity, directrices & foci. 4. Three-dimensional Coordinate Geometry Co-ordinate axes and coordinate planes, the distance between two points, section formula, direction cosines and direction ratios, equation of a straight line in space and skew lines. The angle between two lines whose direction ratios are given, the shortest distance between two lines. Equation of a plane, the distance of a point from a plane, condition for coplanarity of three lines, angles between two planes, the angle between a line and a plane. 5. Differential calculus Domain and range of a real-valued function, Limits and Continuity of the sum, difference, product and quotient of two functions, Differentiability. The derivative of different types of functions (polynomial, rational, trigonometric, inverse trigonometric, exponential, logarithmic, implicit functions), the derivative of the sum, difference, product and quotient of two functions, chain rule, parametric form. Geometric interpretation of derivative, Tangents and Normals. Increasing and decreasing functions, Maxima and minima of a function. Rolle’s Theorem, Mean Value Theorem and Intermediate Value Theorem. 6. Integral calculus Integration as the inverse process of differentiation, indefinite integrals of standard functions Methods of integration: Integration by substitution, Integration by parts, integration by partial fractions, and integration by trigonometric identities. Definite integrals and their properties, Fundamental Theorem of Integral Calculus, applications in finding areas under simple curves. Application of definite integrals to the determination of areas of regions bounded by simple curves. Integration as the inverse process of differentiation, indefinite integrals of standard functions Methods of integration: Integration by substitution, Integration by parts, integration by partial fractions, and integration by trigonometric identities. Definite integrals and their properties, Fundamental Theorem of Integral Calculus, applications in finding areas under simple curves. Application of definite integrals to the determination of areas of regions bounded by simple curves. 7. Ordinary Differential Equations Order and degree of a differential equation, formulation of a differential equation whole general solution is given, variables separable method. The solution of homogeneous differential equations of the first order and first degree Linear first-order differential equations 8. Probability Various terminology in probability, axiomatic and other approaches of probability, addition and multiplication rules of probability. Conditional probability, total probability and Baye’s theorem Independent events Discrete random variables and distributions with mean and variance. 9. Vectors Direction ratio/cosines of vectors, the addition of vectors, scalar multiplication, position vector of a point dividing a line segment in a given ratio. Dot and cross products of two vectors, the projection of a vector on a line. Scalar triple products and their geometrical interpretations. 10. Statistics Measures of dispersion Analysis of frequency distributions with equal means but different variances 11.Linear Programming Various terminology and formulation of Linear Programming The solution of linear Programming using graphical method, feasible and infeasible regions, feasible and infeasible solutions, optimal feasible solutions (up to three non-trivial constraints)

### English Proficiency:

(a) English Proficiency: The paper is designed to test candidates proficiency in English and tests their basic grammar skills, vocabulary, reading skills and how effective are they in English writing:

 1. Grammar Agreement, Time and Tense, Parallel construction, Relative pronouns Determiners, Prepositions, Modals, Adjectives Voice, Transformation Question tags, Phrasal verbs 2. Vocabulary Synonyms, Antonyms, Odd Word, One Word, Jumbled letters, Homophones, Spelling Contextual meaning. Analogy 3. Reading Comprehension Content/ideas Vocabulary Referents Idioms/Phrases Reconstruction (rewording) 4. Composition Rearrangement Paragraph Unity Linkers/Connectives

(b) Logical Reasoning – The test is conducted to test candidates reasoning power in verbal and nonverbal areas. The test checks a candidate’s logical level thinking and analyses how well they can think about it. Here we listed important topics which will be asked in the BITSAT Exam from Logical reasoning section.

 1. Verbal Reasoning Analogy: Analogy means correspondence. In the questions based on analogy, a particular relationship is given and another similar relationship has to be identified from the alternatives provided. Classification: Classification means to assert the items of a given group on the basis of certain common quality they possess and then spot the odd option out. Series Completion: Here series of numbers or letters are given and one is asked to either complete the series or find out the wrong part in the series. Logical Deduction – Reading Passage: Here a brief passage is given and based on the passage the candidate is required to identify the correct or incorrect logical conclusions. Chart Logic: Here a chart or a table is given that is partially filled in and asks to complete it in accordance with the information given either in the chart/table or in the question. 2. Nonverbal Reasoning Pattern Perception: Here a certain pattern is given and generally a quarter is left blank. The candidate is required to identify the correct quarter from the given four alternatives. Figure Formation and Analysis: The candidate is required to analyze and form a figure from various given parts. Paper Cutting: It involves the analysis of a pattern that is formed when a folded piece of paper is cut into a definite design. Figure Matrix: In this more than one set of figures is given in the form of a matrix, all of them following the same rule. The candidate is required to follow the rule and identify the missing figure. Rule Detection: Here a particular rule is given and it is required to select from the given sets of figures, a set of figures, which obeys the rule and forms the correct series.

### Biology:

 1:  Diversity in Living World Biology – its meaning and relevance to mankind What is living; Taxonomic categories and aids; Systematics and Binomial system of nomenclature. Introductory classification of living organisms (Two-kingdom system, Five-kingdom system); Plant kingdom – Salient features of major groups (Algae to Angiosperms); Animal kingdom –Salient features of Nonchordates up to phylum, and Chordates up to class level. 2:  Cell: The Unit of Life; Structure and Function Cell wall; Cell membrane; Endomembrane system (ER, Golgi apparatus/Dictyosome, Lysosomes, Vacuoles); Mitochondria; Plastids; Ribosomes; Cytoskeleton; Cilia and Flagella; Centrosome and Centriole; Nucleus; Microbodies. Structural differences between prokaryotic and eukaryotic, and between plant and animal cells. Cell cycle (various phases); Mitosis; Meiosis. Biomolecules – Structure and function of Carbohydrates, Proteins, Lipids, and Nucleic acids. Enzymes – Chemical nature, types, properties and mechanism of action. 3:  Genetics and Evolution Mendelian inheritance; Chromosome theory of inheritance; Gene interaction; Incomplete dominance; Co-dominance; Complementary genes; Multiple alleles; Linkage and Crossing over; Inheritance patterns of hemophilia and blood groups in humans. DNA –its organization and replication; Transcription and Translation; Gene expression and regulation; DNA fingerprinting. Theories and evidences of evolution, including modern Darwinism. 4:  Structure and Function – Plants Morphology of a flowering plant; Tissues and tissue systems in plants; Anatomy and function of root, stem (including modifications), leaf, inflorescence, flower (including position and arrangement of different whorls, placentation), fruit and seed; Types of fruit; Secondary growth; Absorption and movement of water (including diffusion, osmosis and water relations of cell) and of nutrients; Translocation of food; Transpiration and gaseous exchange; Mechanism of stomatal movement. Mineral nutrition – Macro- and micro-nutrients in plants including deficiency disorders; Biological nitrogen fixation mechanism. Photosynthesis – Light reaction, cyclic and non-cyclic photophosphorylation; various pathways of carbon dioxide fixation; Photorespiration; Limiting factors. Respiration – Anaerobic, Fermentation, Aerobic; Glycolysis, TCA cycle; Electron transport system; Energy relations. 5: Structure and Function  – Animals Human Physiology – Digestive system – organs, digestion and absorption; Respiratory system – organs, breathing and exchange and transport of gases. Body fluids and circulation – Blood, lymph, double circulation, regulation of cardiac activity; Hypertension, Coronary artery diseases. Excretion system – Urine formation, regulation of kidney function Locomotion and movement – Skeletal system, joints, muscles, types of movement. Control and co-ordination – Central and peripheral nervous systems, structure and function of neuron, reflex action and sensory reception; Role of various types of endocrine glands; Mechanism of hormone action. 6: Reproduction, Growth and Movement in Plants Asexual methods of reproduction; Sexual Reproduction – Development of male and female gametophytes; Pollination (Types and agents); Fertilization; Development of embryo, endosperm, seed and fruit (including parthenocarpy and elminth). Growth and Movement – Growth phases; Types of growth regulators and their role in seed dormancy, germination and movement; Apical dominance; Senescence; Abscission; Photoperiodism; Vernalisation; Various types of movements. 7: Reproduction and Development in Humans Male and female reproductive systems; Menstrual cycle; Gamete production; Fertilization; Implantation; Embryo development; Pregnancy and parturition; Birth control and contraception. 8:  Ecology and Environment Meaning of ecology, environment, habitat and niche. Ecological levels of organization (organism to biosphere); Characteristics of Species, Population, Biotic Community and Ecosystem; Succession and Climax. Ecosystem – Biotic and abiotic components; Ecological pyramids; Food chain and Food web; Energy flow; Major types of ecosystems including agroecosystem. Ecological adaptations – Structural and physiological features in plants and animals of aquatic and desert habitats. Biodiversity and Environmental Issues – Meaning, types and conservation strategies (Biosphere reserves, National parks and Sanctuaries), Air and Water Pollution (sources and major pollutants); Global warming and Climate change; Ozone depletion; Noise pollution; Radioactive pollution; Methods of pollution control (including an idea of bioremediation); Deforestation; Extinction of species (Hot Spots). 9:  Biology and Human Welfare Animal husbandry – Livestock, Poultry, Fisheries; Major animal diseases and their control. Pathogens of major communicable diseases of humans caused by fungi, bacteria, viruses, protozoans and elminthes, and their control. Cancer; AIDS. Adolescence and drug/alcohol abuse; Basic concepts of immunology. Plant Breeding and Tissue Culture in crop improvement. 10:  Biotechnology and its Applications Microbes as ideal system for biotechnology; Microbial technology in food processing, industrial production (alcohol, acids, enzymes, antibiotics), sewage treatment and energy generation. Steps in recombinant DNA technology – restriction enzymes, NA insertion by vectors and other methods, regeneration of recombinants Applications of R-DNA technology in human health –Production of Insulin, Vaccines and Growth hormones, Organ transplant, Gene therapy. Applications in Industry and Agriculture – Production of expensive enzymes, strain improvement to scale up bioprocesses, GM crops by transfer of genes for nitrogen fixation, herbicide-resistance and pest-resistance including Bt crops. Author: Yashrika Bhardwaj

Yashrika is an Electronics Engineer passionate about technology and integrating it with innovative ideas to give startups an initial boost that they require.

## 2 thoughts on “BITSAT Syllabus 2020 – Physics, Chemistry, Mathematics, & Biology”

1. Manish Shrisvatava

Mujhe PDF Chahiye BITSAT k syllabus ka

2. Ravi Kumar

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