KVPY 2024 Prelims Syllabus: A Comprehensive Guide
Class 11 Syllabus
Physics
- Units and Measurement: Units of measurement, fundamental and derived units, SI units, dimensional analysis.
- Motion in a Straight Line: Position, displacement, velocity, acceleration, uniform and non-uniform motion, equations of motion, graphical representation of motion.
- Motion in a Plane: Projectile motion, uniform circular motion, angular velocity, angular acceleration, centripetal force.
- Laws of Motion: Newton’s laws of motion, momentum, impulse, conservation of linear momentum, work, energy, power, potential energy, kinetic energy, work-energy theorem, conservation of mechanical energy.
- Gravitation: Universal law of gravitation, acceleration due to gravity, gravitational potential energy, escape velocity, Kepler’s laws of planetary motion.
- Properties of Solids and Liquids: Elastic behavior, stress, strain, Hooke’s law, Young’s modulus, bulk modulus, shear modulus, surface tension, viscosity, Bernoulli’s theorem.
- Thermodynamics: Thermal equilibrium, temperature, heat, specific heat capacity, calorimetry, change of state, latent heat, heat transfer, conduction, convection, radiation, thermal expansion, ideal gas laws, kinetic theory of gases.
- Oscillations and Waves: Simple harmonic motion, periodic motion, amplitude, frequency, time period, energy in SHM, damped oscillations, forced oscillations, resonance, wave motion, transverse and longitudinal waves, superposition of waves, interference, diffraction.
Chemistry
- Basic Concepts of Chemistry: Atomic structure, Bohr’s model, quantum numbers, electronic configuration, periodic table, periodicity, chemical bonding, ionic bonding, covalent bonding, metallic bonding, hybridization, VSEPR theory, molecular geometry.
- States of Matter: Gases, liquids, solids, intermolecular forces, properties of gases, ideal gas equation, kinetic theory of gases, liquid state, solid state, types of solids, amorphous and crystalline solids.
- Chemical Thermodynamics: Thermodynamic terms, enthalpy, entropy, Gibbs free energy, Hess’s law, spontaneity of reactions, equilibrium constant, Le Chatelier’s principle.
- Solutions: Types of solutions, concentration terms, colligative properties, Raoult’s law, ideal and non-ideal solutions, osmotic pressure.
- Chemical Kinetics: Rate of reaction, factors affecting rate of reaction, rate law, order and molecularity of reactions, integrated rate laws, activation energy, collision theory.
- Surface Chemistry: Adsorption, absorption, catalysis, colloids, types of colloids, properties of colloids.
- Electrochemistry: Electrolytic cells, galvanic cells, Faraday’s laws of electrolysis, standard electrode potential, Nernst equation, electrochemical series.
- Chemical Bonding and Molecular Structure: Lewis structure, VSEPR theory, hybridization, molecular orbital theory, bonding in diatomic molecules, hydrogen bonding, dipole moment.
- Coordination Compounds: Coordination compounds, IUPAC nomenclature, isomerism, Werner’s theory, applications of coordination compounds.
- Alkanes, Alkenes, Alkynes: Nomenclature, IUPAC nomenclature, isomerism, reactions of alkanes, alkenes, alkynes.
- Haloalkanes and Haloarenes: Nomenclature, preparation, properties, reactions.
- Alcohols, Phenols and Ethers: Nomenclature, preparation, properties, reactions.
- Aldehydes and Ketones: Nomenclature, preparation, properties, reactions.
- Carboxylic Acids: Nomenclature, preparation, properties, reactions.
- Amines: Nomenclature, preparation, properties, reactions.
- Biomolecules: Carbohydrates, proteins, lipids, nucleic acids.
- Polymers: Natural and synthetic polymers, types of polymers, polymerization reactions.
- Chemistry in Everyday Life: Chemistry in medicines, food, agriculture, environment.
Mathematics
- Sets, Relations and Functions: Sets, types of sets, operations on sets, relations, types of relations, functions, types of functions, inverse functions, composite functions.
- Trigonometry: Trigonometric ratios, trigonometric identities, inverse trigonometric functions, solutions of trigonometric equations.
- Algebra: Quadratic equations, theory of equations, progressions, binomial theorem, permutations and combinations, mathematical induction.
- Coordinate Geometry: Straight lines, circles, conic sections, parametric equations.
- Calculus: Limits, continuity, differentiation, applications of derivatives, integration, definite integrals, applications of integrals.
- Vectors: Vectors, scalar and vector products, scalar triple product, vector equations of lines and planes.
- Three Dimensional Geometry: Direction cosines, direction ratios, distance formula, equation of a plane, equation of a line, angle between lines and planes.
- Probability: Probability, conditional probability, Bayes’ theorem, random variables, probability distributions.
- Statistics: Measures of central tendency, measures of dispersion, correlation, regression.
Class 12 Syllabus
Physics
- Electrostatics: Electric charges, Coulomb’s law, electric field, electric potential, electric potential energy, electric dipole, Gauss’s theorem, applications of Gauss’s theorem, electric flux, capacitors, capacitance, energy stored in a capacitor, combination of capacitors.
- Current Electricity: Electric current, drift velocity, Ohm’s law, resistance, resistivity, temperature dependence of resistance, combination of resistors, Kirchhoff’s laws, Wheatstone bridge, potentiometer, electric power, heating effect of current, Joule’s law, chemical effects of current, electrolysis, Faraday’s laws of electrolysis.
- Magnetic Effects of Current and Magnetism: Magnetic field due to a current carrying conductor, Biot-Savart law, Ampere’s circuital law, magnetic field due to a solenoid, magnetic dipole moment, torque on a magnetic dipole in a magnetic field, magnetic flux, Faraday’s law of electromagnetic induction, Lenz’s law, motional EMF, self-inductance, mutual inductance, AC generator, transformer.
- Electromagnetic Waves: Electromagnetic spectrum, properties of electromagnetic waves, transverse nature of electromagnetic waves.
- Ray Optics and Wave Optics: Reflection of light, refraction of light, Snell’s law, total internal reflection, critical angle, optical fibers, lens, power of a lens, combination of lenses, human eye, defects of vision, correction of defects of vision, microscope, telescope.
- Dual Nature of Radiation and Matter: Photoelectric effect, de Broglie hypothesis, matter waves, Davisson-Germer experiment.
- Atoms and Nuclei: Rutherford’s model of atom, Bohr’s model of atom, quantum numbers, electronic configuration, X-rays, radioactivity, alpha decay, beta decay, gamma decay, nuclear fission, nuclear fusion, nuclear reactor.
- Semiconductors: Semiconductors, types of semiconductors, p-type semiconductor, n-type semiconductor, p-n junction diode, forward bias, reverse bias, diode as a rectifier, transistor, transistor as an amplifier, transistor as a switch, logic gates, integrated circuits.
- Communication Systems: Communication systems, modulation, demodulation, amplitude modulation, frequency modulation, digital communication, satellite communication.
Chemistry
- Solid State: Classification of solids, types of solids, crystal lattices, unit cell, packing efficiency, voids, point defects, electrical and magnetic properties of solids.
- Solutions: Types of solutions, concentration terms, colligative properties, Raoult’s law, ideal and non-ideal solutions, osmotic pressure, abnormal molecular masses.
- Electrochemistry: Electrolytic cells, galvanic cells, Faraday’s laws of electrolysis, standard electrode potential, Nernst equation, electrochemical series, batteries, fuel cells, corrosion.
- Chemical Kinetics: Rate of reaction, factors affecting rate of reaction, rate law, order and molecularity of reactions, integrated rate laws, activation energy, collision theory, Arrhenius equation, catalysis.
- Surface Chemistry: Adsorption, absorption, catalysis, colloids, types of colloids, properties of colloids, emulsions, gels, applications of colloids.
- General Principles and Processes of Isolation of Elements: Principles of metallurgy, extraction of metals, refining of metals.
- p-Block Elements: Group 15 elements, Group 16 elements, Group 17 elements, Group 18 elements, trends in properties, preparation, properties and uses of compounds.
- d- and f-Block Elements: Transition elements, general properties of transition elements, lanthanoids, actinoids, trends in properties, preparation, properties and uses of compounds.
- Coordination Compounds: Coordination compounds, IUPAC nomenclature, isomerism, Werner’s theory, bonding in coordination compounds, applications of coordination compounds.
- Haloalkanes and Haloarenes: Nomenclature, preparation, properties, reactions, SN1 and SN2 reactions, elimination reactions.
- Alcohols, Phenols and Ethers: Nomenclature, preparation, properties, reactions, dehydration reactions, oxidation reactions.
- Aldehydes and Ketones: Nomenclature, preparation, properties, reactions, aldol condensation, Cannizzaro reaction.
- Carboxylic Acids: Nomenclature, preparation, properties, reactions, esterification reaction, acid hydrolysis.
- Amines: Nomenclature, preparation, properties, reactions, diazonium salts.
- Biomolecules: Carbohydrates, proteins, lipids, nucleic acids, enzymes, vitamins, hormones.
- Polymers: Natural and synthetic polymers, types of polymers, polymerization reactions, biodegradable polymers.
- Chemistry in Everyday Life: Chemistry in medicines, food, agriculture, environment, detergents, soaps, dyes, polymers.
Mathematics
- Relations and Functions: Types of relations, equivalence relations, functions, types of functions, inverse functions, composite functions.
- Inverse Trigonometric Functions: Inverse trigonometric functions, properties of inverse trigonometric functions, solutions of inverse trigonometric equations.
- Matrices: Matrices, types of matrices, operations on matrices, determinant of a matrix, inverse of a matrix, applications of matrices.
- Determinants: Determinants, properties of determinants, minors and cofactors, adjoint of a matrix, inverse of a matrix, applications of determinants.
- Linear Programming: Linear programming problems, graphical method, simplex method.
- Continuity and Differentiability: Continuity of a function, differentiability of a function, derivatives of various functions, applications of derivatives.
- Applications of Derivatives: Rate of change, maxima and minima, tangents and normals, approximation.
- Integrals: Indefinite integrals, definite integrals, properties of definite integrals, applications of definite integrals.
- Differential Equations: Differential equations, order and degree of a differential equation, formation of differential equations, methods of solving differential equations.
- Probability: Probability, conditional probability, Bayes’ theorem, random variables, probability distributions, binomial distribution, Poisson distribution, normal distribution.
- Statistics: Measures of central tendency, measures of dispersion, correlation, regression, probability distributions.
Sample Tables
Table 1: KVPY Exam Pattern
| Category | Duration | Total Marks | Number of Questions |
|---|---|---|---|
| SA Stream (Class 11) | 3 hours | 120 | 80 |
| SX Stream (Class 12) | 3 hours | 120 | 80 |
Table 2: KVPY Subject-wise Weightage
| Subject | SA Stream (%) | SX Stream (%) |
|---|---|---|
| Physics | 33.33 | 33.33 |
| Chemistry | 33.33 | 33.33 |
| Mathematics | 33.33 | 33.33 |
Note: The syllabus and exam pattern are subject to change. Please refer to the official KVPY website for the latest information.
Frequently Asked Questions (FAQs) about the KVPY Prelims Syllabus 2024:
General FAQs:
Q1: What is the KVPY exam and who can apply?
A1: The Kishore Vaigyanik Protsahan Yojana (KVPY) is a national scholarship program for students pursuing basic science courses in India. Students in Class 11 and 12 can apply.
Q2: What is the exam pattern for the KVPY Prelims?
A2: The exam is a 3-hour pen-and-paper based test with 80 multiple-choice questions, each carrying 1.5 marks. There is a negative marking of 0.5 marks for incorrect answers.
Q3: What are the eligibility criteria for the KVPY exam?
A3: Eligibility criteria vary based on the stream (SA or SX) and the year of study. Refer to the official KVPY website for detailed information.
Q4: How can I prepare for the KVPY exam?
A4: Focus on understanding the concepts from your Class 11 and 12 syllabus. Practice previous years’ papers and mock tests to get familiar with the exam pattern and difficulty level.
Q5: When is the KVPY exam conducted?
A5: The exam is usually conducted in the month of November/December. The exact dates are announced on the official KVPY website.
Physics FAQs:
Q1: What are the key concepts in electromagnetism that I should focus on?
A1: Understand Coulomb’s law, electric field, potential, Gauss’s theorem, capacitors, magnetic field due to current, Faraday’s law, Lenz’s law, and electromagnetic waves.
Q2: How important is the understanding of semiconductors and communication systems?
A2: These topics are important for both conceptual understanding and application-based questions. Focus on the basics of semiconductors, p-n junctions, transistors, and communication systems.
Chemistry FAQs:
Q1: What are the important topics in chemical kinetics and surface chemistry?
A1: Focus on rate laws, order and molecularity of reactions, activation energy, catalysis, adsorption, and colloids.
Q2: How should I approach the organic chemistry portion of the syllabus?
A2: Understand the nomenclature, preparation, properties, and reactions of various functional groups. Practice naming reactions and mechanisms.
Mathematics FAQs:
Q1: What are the key concepts in calculus and differential equations?
A1: Master the concepts of limits, continuity, differentiation, integration, and methods of solving differential equations.
Q2: How can I improve my problem-solving skills in probability and statistics?
A2: Practice various types of probability problems, understand different probability distributions, and learn the concepts of measures of central tendency and dispersion.
Note: These are just a few examples of frequently asked questions. The actual questions may vary depending on the specific syllabus and the exam year. It is always recommended to refer to the official KVPY website for the most up-to-date information.