JEE Advanced 2021 Syllabus Highlights
A compilation of the JEE Advanced 2021 syllabus that is discussed below will help a candidate to gauge the study plan required to crack JEE Advanced 2021.
- The syllabus for engineering and architecture exams with the topic-wise breakup of each section - Physics, Chemistry, and Mathematics is given below.
- Candidates can refer the books under the JEE Advanced 2021 Reference Books section to prepare for the exam.
JEE Advanced 2021 Syllabus Subject wise
Candidates can go through the below subject wise syllabus for JEE Advanced 2021 exam:
Physics - Mechanics, General, Electricity and Magnetics, Thermal Physics, Optics, Modern Physics.
Chemistry - Physical Chemistry, Organic Chemistry, Inorganic Chemistry.
Mathematics - Algebra, Integral Calculus, Analytical Geometry, Trigonometry, Differential Calculus, Vector.
JEE Advanced 2021 Syllabus Physics
Below you will find JEE Advanced 2021 Physics Syllabus in detail:
1.Mechanics - Kinematics in one and two dimensions (Cartesian coordinates only), projectiles; Uniform circular motion; Relative velocity. Newton’s laws of motion; Inertial and uniformly accelerated frames of reference; Static and dynamic friction; Kinetic and potential energy; Work and power; Conservation of linear momentum and mechanical energy. Systems of particles; Centre of mass and its motion; Impulse; Elastic and inelastic collisions.Law of gravitation; Gravitational potential and field; Acceleration due to gravity; Motion of planets and satellites in circular orbits; Escape velocity.Rigid body, the moment of inertia, parallel and perpendicular axes theorems, the moment of inertia of uniform bodies with simple geometrical shapes; Angular momentum; Torque; Conservation of angular momentum; Dynamics of rigid bodies with fixed axis of rotation; Rolling without slipping of rings, cylinders, and spheres; Equilibrium of rigid bodies; Collision of point masses with rigid bodies.Linear and angular simple harmonic motions.Hooke’s law, Young’s modulus.Pressure in a fluid; Pascal’s law; Buoyancy; Surface energy and surface tension, capillary rise; Viscosity (Poiseuille’s equation excluded), Stoke’s law; Terminal velocity, Streamline flow, an equation of continuity, Bernoulli’s theorem and its applications.Wave motion (plane waves only), longitudinal and transverse waves, superposition of waves; Progressive and stationary waves; Vibration of strings and air columns; Resonance; Beats; Speed of sound in gases; Doppler effect (in sound).
2.General - Units and dimensions, dimensional analysis; least count, significant figures; Methods of measurement and error analysis for physical quantities about the following experiments: Experiments based on using Vernier calipers and screw gauge (micrometer), Determination of g using the simple pendulum, Young’s modulus by Searle’s method, Specific heat of a liquid using a calorimeter, the focal length of a concave mirror and a convex lens using the u-v method, Speed of sound using resonance column, Verification of Ohm’s law using voltmeter and ammeter, and specific resistance of the material of a wire using meter bridge and post office box.
3.Thermal Physics - Thermal expansion of solids, liquids and gases; Calorimetry, latent heat; Heat conduction in one dimension; Elementary concepts of convection and radiation; Newton’s law of cooling; Ideal gas laws; Specific heats (Cv and Cp for monoatomic and diatomic gases); Isothermal and adiabatic processes, the bulk modulus of gases; Equivalence of heat and work; First law of thermodynamics and its applications (only for ideal gases); Blackbody radiation: absorptive and emissive powers; Kirchhoff’s law; Wien’s displacement law, Stefan’s law.
4.Electricity and Magnetism - Coulomb’s law; Electric field and potential; Electrical potential energy of a system of point charges and electrical dipoles in a uniform electrostatic field; Electric field lines; Flux of an electric field; Gauss’s law and its application in simple cases, such as, to find field due to infinitely long straight wire, uniformly charged infinite plane sheet and uniformly charged thin spherical shell. Capacitance; Parallel plate capacitor with and without dielectrics; Capacitors in series and parallel; Energy stored in a capacitor. Electric current; Ohm’s law; Series and parallel arrangements of resistances and cells; Kirchhoff’s laws and simple applications; Heating effect of current. Biot–Savart’s law and Ampere’s law; Magnetic field near a current-carrying straight wire, along with the axis of a circular coil and inside a long straight solenoid; Force on a moving charge and a current-carrying wire in a uniform magnetic field. The magnetic moment of a current loop; Effect of a uniform magnetic field on a current loop; Moving coil galvanometer, voltmeter, ammeter, and their conversions. Electromagnetic induction: Faraday’s law, Lenz’s law; Self and mutual inductance; RC, LR and LC circuits with d.c. and a.c. sources.
5.Optics- Rectilinear propagation of light; Reflection and refraction at plane and spherical surfaces; Total internal reflection; Deviation and dispersion of light by a prism; Thin lenses; Combinations of mirrors and thin lenses; Magnification. Wave nature of light: Huygen’s principle, interference limited to Young’s double-slit experiment.
6.Modern Physics - Atomic nucleus; α, β and γ radiations; Law of radioactive decay; Decay constant; Half-life and mean life; Binding energy and its calculation; Fission and fusion processes; Energy calculation in these processes. Photoelectric effect; Bohr’s theory of hydrogen-like atoms; Characteristic and continuous X-rays, Moseley’s law; de Broglie wavelength of matter waves.
The JEE Advanced Syllabus topics related to Physics in Paper I along with their weightage are given below.
|Centre of Mass, Momentum, and Collision||6-7%|
|Wave Motion and String Waves||6-7%|
The JEE Advanced Syllabus topics related to Physics in Paper-II along with their weightage are given below.
|Measurement and Errors||4-5%|
JEE Advanced 2021 Chemistry Syllabus
Below you will find JEE Advanced 2021 Chemistry Syllabus in detail:
- Physical Chemistry- Gaseous and liquid states, Atom, Energetics, Electro-Chemistry, Chemical equilibrium, Solid State, Nuclear Chemistry.
- Inorganic Chemistry - Isolation/preparation and properties of the following non-metals, Preparation and properties of the following compounds, Transition elements (3d series)Principles of qualitative analysis.
- Organic chemistry - Preparation, properties, and reactions of alkenes and alkynes, Preparation, properties, and reactions of alkenes and alkynes, Phenols, Properties and uses of some important polymers, Practical Organic Chemistry.
The JEE Advanced Syllabus topics related to Chemistry in Paper I along with their weightage are given below.
|Aldehydes, Ketones, and Carboxylic Acids||14-15%|
The JEE Advanced Syllabus topics related to Chemistry in Paper-II along with their weightage are given below.
|Alcohols, Phenols, and Ethers||9-10%|
|Equilibrium in Physical and Chemical Processes||6-7%|
|Haloalkenes and Haloarenes||6-7%|
|Organic Compounds Containing Nitrogen||9-10%|
|Some P-Block Elements||6-7%|
|Study of the First Element: Hydrogen||4-5%|
JEE Advanced 2021 Mathematics Syllabus
Below you will find JEE Advanced 2021 Mathematics Syllabus in detail:
1.Algebra: Algebra of complex numbers, addition, multiplication, conjugation, polar representation, properties of modulus and principal argument, triangle inequality, cube roots of unity, geometric interpretations. Quadratic equations with real coefficients, relations between roots and coefficients, the formation of quadratic equations with given roots, symmetric functions of roots. Arithmetic, geometric and harmonic progressions, arithmetic, geometric and harmonic means, 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. Permutations and combinations, binomial theorem for a positive integral index, properties of binomial coefficients. Matrices as a rectangular array of real numbers, equality of matrices, addition, multiplication by a scalar and product of matrices, transpose of a matrix, Determinant of a square matrix of order up to three, inverse of a square matrix of order up to three, properties of these matrix operations, diagonal, symmetric and skew-symmetric matrices and their properties, solutions of simultaneous linear equations in two or three variables. Addition and multiplication rules of probability, conditional probability, Bayes Theorem, independence of events, computation of the probability of events using permutations and combinations.
2.Analytical Geometry: Two dimensions: Cartesian coordinates, the distance between two points, section formulae, the shift of origin. Equation of a straight line in various forms, 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, concurrency of lines; Centroid, orthocentre, incentre and circumcentre of a triangle. Equation of a circle in various forms, equations of tangent, normal, and chord. Parametric equations of a circle, the intersection of a circle with a straight line or a circle, equation of a circle through the points of intersection of two circles and those of a circle and a straight line. Equations of a parabola, ellipse and hyperbola in standard form, their foci, directrices and eccentricity, parametric equations, equations of tangent and normal. Locus problems. Three dimensions: Direction cosines and direction ratios, equation of a straight line in space, equation of a plane, the distance of a point from a plane.
3.Differential Calculus: Real-valued functions of a real variable, into, onto and one-to-one functions, sum, difference, product and quotient of two functions, composite functions, absolute value, polynomial, rational, trigonometric, exponential and logarithmic functions. Limit and continuity of a function, limit, and continuity of the sum, difference, product, and quotient of two functions, L’Hospital rule of evaluation of limits of functions. Even and odd functions, the inverse of a function, continuity of composite functions, the intermediate value property of continuous functions. The derivative of a function, the derivative of the sum, difference, product and quotient of two functions, chain rule, derivatives of polynomial, rational, trigonometric, inverse trigonometric, exponential and logarithmic functions. Derivatives of implicit functions, derivatives up to order two, geometrical interpretation of the derivative, tangents, and normals, increasing and decreasing functions, maximum and minimum values of a function, Rolle’s theorem and Lagrange’s mean value theorem.
4.Trigonometry: Trigonometric functions, their periodicity, and graphs, addition and subtraction formulae, formulae involving multiple and sub-multiple angles, general solution of trigonometric equations. Relations between sides and angles of a triangle, sine rule, cosine rule, half-angle formula, and the area of a triangle, inverse trigonometric functions (principal value only).
5.Integral Calculus: Integration as the inverse process of differentiation, indefinite integrals of standard functions, definite integrals and their properties, fundamental theorem of integral calculus. Integration by parts, integration by the methods of substitution and partial fractions, application of definite integrals to the determination of areas involving simple curves. Formation of ordinary differential equations, solution of homogeneous differential equations, separation of variables method, linear first-order differential equations.
6.Vectors: Addition of vectors, scalar multiplication, dot and cross products, scalar triple products, and their geometrical interpretations.
The JEE Advanced Syllabus topics related to Mathematics in Paper I along with their weightage are given below.
|Application of Derivatives||14-15%|
|Permutations and Combinations||4-5%|
|Sequence and Series||4-5%|
|Limits and Continuity||6-7%|
The JEE Advanced Syllabus topics related to Mathematics in Paper-II along with their weightage are given below.
|Application of Derivatives||19-20%|
|Area of Bounded Regions||6-7%|
|Limits and Continuity||6-7%|
|Sets, Relations, and Functions||4-5%|
|Theory of Equations||9-10%|
JEE Advanced 2021 Architecture Aptitude Test Syllabus
Freehand Drawing: This comprises of simple drawing depicting the total object in its right form and proportion, surface texture, relative location, and details of its parts in an appropriate scale from the candidate's memory. For instance, common domestic or day-to-day life usable objects like furniture, equipment, etc.,
Geometrical Drawing: Exercises in geometrical drawing containing lines, angles, triangles, quadrilaterals, polygons, circles, etc. Study of plan (top view), elevation (front or side views) of simple solid objects like prisms, cones, cylinders, cubes, splayed surface holders, etc.
Three-Dimensional Perception: Understanding and appreciation of three-dimensional forms with building elements, color, volume, and orientation. Visualization through structuring objects in memory.
Imagination and Aesthetic Sensitivity: Composition exercise with given elements. Context mapping. Creativity checks through the innovative uncommon test with familiar objects. The sense of color grouping or application.
Architectural Awareness: General interest and awareness of famous architectural creations – both national and international, places, and personalities (architects, designers, etc.) in the related domain.
Books for JEE Advanced Preparation
Candidates can find best books for JEE Advanced preparation below. All the three sucjects will be covered separately.
Books for JEE Advanced Physics
You can find some of the best books that you can refer for you JEE Advanced- Physics. Purchasing the best book plays a crucial part in your preparation.
|Author/Publisher||Name of the Book|
|H.C. Verma||Concepts of Physics Vol I and II|
|I.E. Irodov||Problems in General Physics|
|Halliday, Resnick & Walker||Fundamentals of Physics|
|Sears and Zemansky||University Physics|
|Nelson and Parker||Advanced Level Physics|
|A.A Pinsky||Problems in Physics|
|S.S Krotov||Aptitude Test Problems in Physics|
|L.A. Sena||A collection of questions and Problems in Physics|
|V.Zubov & V.Shalnov||Problem in Physics|
|S.L Loney||Elements of Statics Part I|
Books for JEE Advanced Chemistry
Some of the books to consider for your Chemistry preparation for JEE Advanced exam can be found below. Always compare books before making a puchase, and search for the latest edition to be updated by most updated information.
|Name of the Book||Author/Publisher|
|Physical Chemistry||P. Bahadur|
|Organic Chemistry||Arihant Prakashan|
|IIT Chemistry||O.P. Agarwal|
|Concise Inorganic Chemistry||J.D. Lee|
Books for JEE Advanced Mathematics
Mathematics can be tough for some students, getting the best books for this subjects can do wonders. Some of the best books to buy for the JEE Advanced- Maths preparation are as follows.
|Author/Publisher||Name of the Book|
|R. S. Agarwal||Maths XI|
|R. S. Agarwal||Maths XII|
|S.L. Loney||Plane Trigonometry Part I|
|S.L. Loney||Coordinate Geometry|
|Hall & Knight||Higher Algebra|
|I.A. Maron||Problems in Calculus of One Variable|
|Vectors & 3-D Geometry||Arihant Prakashan|
JEE Advanced Preparation Tips
Having a strong preparation plan is always the most crucial part of any exam. This section of the article looks at some of the most basic yet, essential preparation tips. Please find the JEE Advanced Preparation tips below.
- Study Plan: Prepare a healthy study plan, sort subjects/topics to which topics need more attention and time. Allocate time to each subject in accordance with your familiarity with it.
- Time Management: Learn how to manage your time while preparation, allocate time to each subject accordingly.
- Know The Syllabus: Get familiar with the JEE Advanced Syllabus properly.
- Mock Test and Sample Paper: Take many Mock tests and go through Sample papers to know the question paper pattern.