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# JEE Advanced

## Brief

## Eligibility Criteria

**Date of Birth**
**Qualifying Examination**
**Number of Attempts**
**Earlier admission at IITs/ISM**
## Exam Pattern

**Marking scheme of Paper 1**

**Marking scheme of Paper 2**

**Application Procedure**
**Important Dates**

## Syllabus

**General**
**Mechanics**
**Thermal Physics**
**Electricity and Magnetism**
**Optics**
**Modern Physics**
**Physical chemistry**
**Inorganic Chemistry**
**Organic Chemistry**
**Algebra**
**Trigonometry**
**Analytical Geometry**
**Differential Calculus**
**Integral Calculus**
**Vectors**
**Freehand drawing**
**Geometrical Drawing**
**Three-dimensional perception**
**Imagination and aesthetic sensitivity**
**Architectural awareness**
## How to Prepare

### Books Recommended:-

#### Previous Year Papers:-

click here for paper 1

click here for paper 2

click here for paper 3

click here for paper 4

The Joint Entrance Examination (Advanced) 2017 will be conducted by the seven zonal IITs under the guidance of the Joint Admission Board (JAB) 2017. The performance of a candidate in this examination form the basis for admission to the Bachelor’s, Integrated Master’s and Dual Degree programs (entry at the 10+2 level) in all the IITs and the ISM. The examination consists of two papers, Paper 1 and Paper 2, each of three hours duration. And both the papers are compulsory.

Candidates should have been born on or after October 1, 1992. Five years relaxation is given to SC, ST and PwD candidates, i.e., these candidates should have been born on or after October 1, 1987

A candidate should be among the top 200000 (including all categories) by scoring positive marks in Paper-1 of JEE (Main) 2017. The percentages of various categories are: 27% for OBC-NCL, 15% for SC, 7.5% for ST and the remaining 50.5% is OPEN for all. Within each of these four categories, 3% horizontal reservation is available for PwD (including Dyslexic) candidates.

A candidate should have appeared for the Class XII (or equivalent) examination for the first time in all the subjects in either 2016 or 2017. Candidates who appeared for the Class XII (or equivalent) examination in 2016 and wish to re-appear in the same in 2017 (either for improvement or because they failed in one or more subjects), will have to re-appear in all the subjects in 2017. Those who appeared for the first time in their Class XII (or equivalent) examination in 2015 or earlier are NOT eligible. However, candidates whose Class XII (or equivalent) examination Board results for the academic year 2014-15 were declared after June 2015 are eligible to appear in JEE (Advanced) 2017.

Candidate can attempt JEE (Advanced) a maximum of two times in consecutive years. Therefore, candidates who appeared in JEE (Advanced) 2016 for the first time are also eligible.

A candidate should NOT have been admitted in an IIT/ISM (irrespective of whether or not he/she continued in the program) OR accepted the IIT/ISM seat by reporting at a reporting centre in the past. The candidates whose admission at IITs or ISM was cancelled are also NOT eligible. Candidates who have been admitted to a preparatory course in any of the IITs for the first time in 2016 can appear in JEE (Advanced) 2017. The candidates who have paid seat acceptance fee but not accepted the seat by not reporting at any reporting centre during joint seat allocation in 2016 are also eligible.

- 1. There are two question papers: Paper 1 and Paper 2 of three hours duration each. Both papers are compulsory.
- 2. Paper 1 contains 3 parts, viz., Mathematics, Physics, and Chemistry.
- 3. Each part has 4 sections

Question Type | No. of Questions | Marks per question | Negative per Question | Total Marks |
---|---|---|---|---|

Multiple Choice (with single correct response) | 8 | 3 | -1 | 24 |

Multiple Response (multiple choice with one or more correct answer) | 4 | 4 | -1 | 16 |

Common Data (Linked comprehension type) | 6 | 4 | -1 | 24 |

Multiple Response Matching Type (Matrix-matching type) | 2 | 8 | 0 | 16 |

Total | 20 | 80 |

- 4. Paper 2 contains 3 parts, viz., Mathematics, Physics, and Chemistry.
- 5. Each part has 4 sections

Question Type | No. of Questions | Marks per question | Negative per Question | Total Marks |
---|---|---|---|---|

Multiple Choice (with single correct response) | 4 | 3 | -1 | 12 |

Multiple Response (assertion reason type with one correct response) | 2 | 8 | 0 | 16 |

Integer type (single digit correct answer) | 6 | 4 | -1 | 24 |

Multiple Response Matching Type (Matrix-matching type) | 8 | 4 | -1 | 32 |

Total | 16 | 80 |

- 1. Check and ensure the eligibility as per the above mentioned criteria.
- 2. Apply online for registration at JEE Advanced 2017 online portal (www.jeeadv.ac.in)
- 3. Complete the online application form with all details like language of question paper, choice of city of examination etc.
- 4. Upload the scanned copies of all requisite documents – Class X certificate/Birth certificate, Class XII certificate, Gazette notification in case of name change.
- 5. Pay registration fees which are non-refundable and non-transferable.

S. No. | Activity | Estimate Dates |
---|---|---|

1 | Online registration process begins from | April 2017 |

2 | Online registration process ends | May 2017 |

3 | Download of admit card starts from | May 2017 |

4 | Any correction in the Admit card | May 2017 |

5 | Examination Date | May 2017 |

6 | ORS will be displayed online | June 2017 |

7 | Candidate can request for review of response | June 2017 |

8 | Answer keys will be available online | June 2017 |

9 | Feedback can be restored for Answer keys | June 2017 |

10 | Declaration of Results | June 2017 |

Units and dimensions, dimensional analysis; least count, significant figures; Methods of measurement and error analysis for physical quantities pertaining to the following experiments: Experiments based on using Vernier calipers and screw gauge (micrometer), Determination of g using simple pendulum, Young’s modulus by Searle’s method, Specific heat of a liquid using calorimeter, focal length of a concave mirror and a convex lens using u-vmethod, 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.

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, moment of inertia, parallel and perpendicular axes theorems, 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, 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).

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 andCp for monoatomic and diatomic gases); Isothermal and adiabatic processes, 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.

Coulomb’s law; Electric field and potential; Electrical potential energy of a system of point charges and of electrical dipoles in a uniform electrostatic field; Electric field lines; Flux of 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 the axis of a circular coil and inside a long straight solenoid; Force on a moving charge and on a current-carrying wire in a uniform magnetic field.
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.

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.

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

**General topics:** Concept of atoms and molecules; Dalton’s atomic theory; Mole concept; Chemical formulae; Balanced chemical equations;
Calculations (based on mole concept) involving common oxidation-reduction, neutralization, and displacement reactions; Concentration
in terms of mole fraction, molarity, molality and normality.

**Gaseous and liquid states:** Absolute scale of temperature, ideal gas equation; Deviation from ideality, van der Waals equation;
Kinetic theory of gases, average, root mean square and most probable velocities and their relation with temperature; Law of partial
pressures; Vapour pressure; Diffusion of gases.

**Atomic structure and chemical bonding:** Bohr model, spectrum of hydrogen atom, quantum numbers; Wave-particle duality, de Broglie hypothesis; Uncertainty principle;
Qualitative quantum mechanical picture of hydrogen atom, shapes of s, p and d orbitals; Electronic configurations of elements (up to atomic number 36); Aufbau principle; Pauli’s
exclusion principle and Hund’s rule; Orbital overlap and covalent bond; Hybridisation involving s, p and d orbitals only; Orbital energy diagrams for homonuclear diatomic species;
Hydrogen bond; Polarity in molecules, dipole moment (qualitative aspects only); VSEPR model and shapes of molecules (linear, angular, triangular, square planar, pyramidal, square
pyramidal, trigonal bipyramidal, tetrahedral and octahedral).

**Energetics:** First law of thermodynamics; Internal energy, work and heat, pressure-volume work; Enthalpy, Hess’s law; Heat of reaction, fusion and vapourization; Second law of thermodynamics; Entropy; Free energy; Criterion of spontaneity.

**Chemical equilibrium:** Law of mass action; Equilibrium constant, Le Chatelier’s principle (effect of concentration, temperature and pressure); Significance
of ΔG and ΔG0 in chemical equilibrium; Solubility product, common ion effect, pH and buffer solutions; Acids and bases (Bronsted and Lewis concepts);
Hydrolysis of salts.

**Electrochemistry:** Electrochemical cells and cell reactions; Standard electrode potentials; Nernst equation and its relation to ΔG; Electrochemical series, emf of
galvanic cells; Faraday’s laws of electrolysis; Electrolytic conductance, specific, equivalent and molar conductivity, Kohlrausch’s law; Concentration cells.

**Chemical kinetics:** Rates of chemical reactions; Order of reactions; Rate constant; First order reactions; Temperature dependence of rate constant (Arrhenius equation).

**Solid state:** Classification of solids, crystalline state, seven crystal systems (cell parameters a, b, c, α, β, γ), close packed structure of solids (cubic), packing in fcc, bcc and hcp lattices; Nearest neighbours, ionic radii, simple ionic compounds, point defects.

**Solutions:** Raoult’s law; Molecular weight determination from lowering of vapour pressure, elevation of boiling point and depression of freezing point.

**Surface chemistry: **concepts of adsorption (excluding adsorption isotherms); Colloids: types, methods of preparation and general properties; Elementary ideas of emulsions, surfactants and micelles (only definitions and examples).

**Nuclear chemistry:** Radioactivity: isotopes and isobars; Properties of α, β and γ rays; Kinetics of radioactive decay (decay series excluded), carbon dating; Stability of nuclei with respect to proton-neutron ratio; Brief discussion on fission and fusion reactions.

**Isolation/preparation and properties of the following non-metals:** Boron, silicon, nitrogen, phosphorus, oxygen, sulphur and halogens; Properties of allotropes of carbon (only diamond and graphite), phosphorus and sulphur.

**Preparation and properties of the following compounds:** Oxides, peroxides, hydroxides, carbonates, bicarbonates, chlorides and sulphates of sodium, potassium, magnesium
and calcium; Boron: diborane, boric acid and borax; Aluminium: alumina, aluminium chloride and alums; Carbon: oxides and oxyacid (carbonic acid); Silicon: silicones,
silicates and silicon carbide; Nitrogen: oxides, oxyacids and ammonia; Phosphorus: oxides, oxyacids (phosphorus acid, phosphoric acid) and phosphine; Oxygen: ozone
and hydrogen peroxide; Sulphur: hydrogen sulphide, oxides, sulphurous acid, sulphuric acid and sodium thiosulphate; Halogens: hydrohalic acids, oxides and oxyacids
of chlorine, bleaching powder; Xenon fluorides.

**Transition elements (3d series):** Definition, general characteristics, oxidation states and their stabilities, colour (excluding the details of electronic transitions)
and calculation of spin-only magnetic moment; Coordination compounds: nomenclatu re of mononuclear coordination compounds, cis-trans and ionisation isomerisms, hybridization and
geometries of mononuclear coordination compounds (linear, tetrahedral, square planar and octahedral).

**Preparation and properties of the following compounds:** Oxides and chlorides of tin and lead; Oxides, chlorides and sulphates of Fe2+, Cu2+ and Zn2+; Potassium
permanganate, potassium dichromate, silver oxide, silver nitrate, silver thiosulphate.

**Ores and minerals:** Commonly occurring ores and minerals of iron, copper, tin, lead, magnesium, aluminium, zinc and silver.

**Extractive metallurgy:** Chemical principles and reactions only (industrial details excluded); Carbon reduction method (iron and tin); Self reduction method (copper and lead);
Electrolytic reduction method (magnesium and aluminium); Cyanide process (silver and gold).

**Principles of qualitative analysis:** Groups I to V (only Ag+, Hg2+, Cu2+, Pb2+, Bi3+, Fe3+, Cr3+, Al3+, Ca2+, Ba2+, Zn2+, Mn2+ and Mg2+); Nitrate, halides (excluding fluoride), sulphate and sulphide.

**Concepts:** Hybridisation of carbon; σ and π-bonds; Shapes of simple organic molecules; Structural and geometrical isomerism; Optical
isomerism of compounds containing up to two asymmetric centres, (R,S and E,Z nomenclature excluded); IUPAC nomenclature of simple organic compounds
(only hydrocarbons, mono-functional and bi-functional compounds); Conformations of ethane and butane (Newman projections); Resonance and hyperconjugation;
Keto-enoltautomerism; Determination of empirical and molecular formulae of simple compounds (only combustion method); Hydrogen bonds: definition and their
effects on physical properties of alcohols and carboxylic acids; Inductive and resonance effects on acidity and basicity of organic acids and bases; Polarity
and inductive effects in alkyl halides; Reactive intermediates produced during homolytic and heterolytic bond cleavage; Formation, structure and stability of
carbocations, carbanions and free radicals.

**Preparation, properties and reactions of alkanes:** Homologous series, physical properties of alkanes (melting points, boiling points and density);
Combustion and halogenation of alkanes; Preparation of alkanes by Wurtz reaction and decarboxylation reactions.

**Preparation, properties and reactions of alkenes and alkynes:** Physical properties of alkenes and alkynes (boiling points, density and dipole moments);
Acidity of alkynes; Acid catalysed hydration of alkenes and alkynes (excluding the stereochemistry of addition and elimination); Reactions of alkenes with
KMnO4 and ozone; Reduction of alkenes and alkynes; Preparation of alkenes and alkynes by elimination reactions; Electrophilic addition reactions of alkenes
with X2, HX, HOX and H2O (X=halogen); Addition reactions of alkynes; Metal acetylides.

**Reactions of benzene: **and aromaticity; Electrophilic substitution reactions: halogenation, nitration, sulphonation, Friedel-Crafts alkylation
and acylation; Effect of o-, m- and p-directing groups in monosubstituted benzenes.

**Phenols:** Acidity, electrophilic substitution reactions (halogenation, nitration and sulphonation); Reimer-Tieman reaction, Kolbe reaction.
Characteristic reactions of the following (including those mentioned above): Alkyl halides: rearrangement reactions of alkyl carbocation, Grignard reactions,
nucleophilic substitution reactions; Alcohols: esterification, dehydration and oxidation, reaction with sodium, phosphorus halides, ZnCl2/concentrated HCl,
conversion of alcohols into aldehydes and ketones; Ethers: Preparation by Williamson’s Synthesis; Aldehydes and Ketones: oxidation, reduction, oxime and
hydrazone formation; aldol condensation, Perkin reaction; Cannizzaro reaction; haloform reaction and nucleophilic addition reactions (Grignard addition);
Carboxylic acids: formation of esters, acid chlorides and amides, ester hydrolysis; Amines: basicity of substituted anilines and aliphatic amines,
preparation from nitro compounds, reaction with nitrous acid, azo coupling reaction of diazonium salts of aromatic amines, Sandmeyer and related reactions
of diazonium salts; carbylamine reaction; Haloarenes: nucleophilic aromatic substitution in haloarenes and substituted haloarenes (excluding Benzyne mechanism
and Cine substitution).

**Carbohydrates:** Classification; mono- and di-saccharides (glucose and sucrose); Oxidation, reduction, glycoside formation and hydrolysis of sucrose.

**Amino acids and peptides: **structure (only primary structure for peptides) and physical properties.
Properties and uses of some important polymers: Natural rubber, cellulose, nylon, teflon and PVC.

**Practical organic chemistry:** Detection of elements (N, S, halogens); Detection and identification of the following functional groups: hydroxyl
(alcoholic and phenolic), carbonyl (aldehyde and ketone), carboxyl, amino and nitro; Chemical methods of separation of mono-functional organic
compounds from binary mixtures.

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, 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 probability of events using permutations and combinations.

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).

Two dimensions: Cartesian coordinates, distance between two points, section formulae, shift of origin.
Equation of a straight line in various forms, angle between two lines, 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, 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, distance of a point from a plane.

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, inverse of a function, continuity of composite functions, intermediate value property of continuous functions.

Derivative of a function, 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.

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.

Addition of vectors, scalar multiplication, dot and cross products, scalar triple products and their geometrical interpretations.

This would comprise of simple drawing depicting the total object in its right form and proportion, surface texture, relative location and details of its component parts in appropriate scale. Common domestic or day-to-day life usable objects like furniture, equipment, etc., from memory.

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.

Understanding and appreciation of three-dimensional forms with building elements, colour, volume and orientation. Visualization through structuring objects in memory.

Composition exercise with given elements. Context mapping. Creativity check through innovative uncommon test with familiar objects. Sense of colour grouping or application.

General interest and awareness of famous architectural creations – both national and international, places and personalities (architects, designers, etc.) in the related domain.

Mathematics |
Physics |
Chemistry |

Maths XI & XII by R.D. Sharma | Concepts of Physics by H C Verma, Vol. I & Vol. II | IITJEE Chemistry by O.P Agarwal |

Mathematics by Tata McGraw Hill (TMH) | Problems in General Physics by I E Irodov | Chemistry XI, XII by NCERT |

click here for paper 2

click here for paper 3

click here for paper 4