Basics of IIT-JEE

IIT-JEE (JOINT ENTRANCE EXAMINATION)

1.INTRODUCTION

2.SYALLABUS

3.TEST PAPERS

4.EXAM CENTERS

5.APPLICATIONS

Introduction

The Indian Institutes of Technology are institutions of national importance established

through an Act of Parliament. These Institutes play a leading role in technological

manpower development and have research programmes comparable to the best in the

world. The admissions to the Undergraduate Programmes for all Indian and Foreign

nationals at these institutions are made through the Joint Entrance Examination (JEE).

Institute of Technology- Banaras Hindu University, Varanasi is one of the oldest

institutions devoted to education in various engineering disciplines. Indian School of

Mines, Dhanbad, a deemed university, is the oldest institution of its kind in India. The

admissions to the Undergraduate Programmes at these institutions are also made through

JEE.

All these institutions are known for providing quality education in science and technology

and for research in frontier areas. The environment at these institutions is highly

conducive for

• Building a solid foundation of knowledge,

• Development of personality,

• Confidence building,

• Pursuit of excellence and self-discipline,

• Enhancement of creativity through motivation and drive, which helps to prepare

for the professional and social life.

Today, alumni of these institutions occupy key positions in industry and academia in

India and abroad.

Each Institute has well-equipped modern laboratories, a state-of-the-art library, and

computer networks. The selected candidates live in a pleasant and intellectually

stimulating environment. The teaching methods rely on direct personal contact between

the teacher and the students. Living in such an environment with people having similar

goals and aspirations is an exciting experience during one’s academic life.

Credit-based academic programmes offer flexibility to progress at a student’s own pace.

A minimum level of performance is necessary for satisfactory progress. The medium of

instruction is English. These institutions offer courses leading to Bachelor’s degree in a

number of engineering, technological and scientific disciplines.

M.Sc. Integrated courses in pure and applied sciences and M.Tech. Integrated courses in a

few disciplines are also offered by some of these Institutes. In addition, some IITs offer

Dual Degree M.Tech. programmes wherein both B.Tech. and M.Tech. degrees are

awarded at the end of the programme.

Pattern for JEE

Question Papers

The examination will consist of three separate papers in Physics, Mathematics and

Chemistry, each of two hours duration. The questions in these papers will be of objective

type, which are to be answered on the specially designed machine-gradable sheet using

HB pencils only. Incorrect answers will be awarded negative marks.

Language of Question Papers

Candidates can opt for Question Papers either in English or in Hindi. The option should

be exercised while filling the application form. It cannot be changed at any stage later.

Use of Calculators and Log Tables

Use of calculators and log tables is NOT permitted.

Aptitude Test for B. Arch. and B. Des.

Candidates called for counselling and desirous of joining the B. Arch. and B. Des.

Courses will be required to qualify in an Aptitude Test to be conducted at each

counselling Institute. The test will be of two hours duration from 10.00

a.m. to 12.00 Noon. Candidates who fail to qualify in the Aptitude Test will not be

eligible for admission to either B. Arch. or B. Des. Courses.

Reservation of Seats

SC/ST Candidates

15% and 7.5% seats in each course are reserved for candidates belonging to SC and ST

categories, respectively. Candidates belonging to these categories are admitted on the

basis of relaxed criteria (compared to GE/DS category candidates). In case all the

reserved seats are not filled, a further relaxation is made in the admission criteria and a

limited number of candidates are admitted to a Preparatory Course of one-year duration.

This course attempts to prepare the students in Physics, Mathematics, and Chemistry. On

successful completion of the course, the students will be offered direct admission to the

undergraduate programmes  against the unfilled reserved seats for JEE.

SC and ST candidates will be required to produce the original caste/tribe certificate

issued by a competent authority (list given in Appendix–II) at the time of counselling,

failing which they will not be considered for admission. Seats remaining vacant in these

categories shall not be filled by candidates belonging to any other category.

Persons with Disabilities (PD)

3% seats are reserved for PD (including leprosy-cured) candidates, as specified by the

Government of India, who are otherwise fit to pursue the course and qualify JEE with

relaxed norms relevant to this category. For any category of disability (viz., locomotor,

visual, speech and hearing), benefit would be given to those candidates who have at least

40% permanent physical impairment in relation to a body part / system / extremity /

extremities / whole body, etc.

The candidates in this category will be required to be certified by a Medical Board. The

Medical Board will decide the following:

• Whether the candidate qualifies for the benefits under this category, and

• If the disability is likely to interfere in his/her studies.

The Medical Board duly constituted for this purpose shall meet at the time of counselling

at Delhi on at 3.00 p.m. Candidates, who are not certified by the

Medical Board as PD, will not be counselled under this category.

The decision of the Medical Board shall be held final.

Preferential Allotment of Seats

Two seats are available for preferential allotment of courses in each Institute for children

of defence/paramilitary personnel killed or permanently disabled in action during war or

peacetime operations (DS category). To avail this preferential allotment, candidates must

qualify in the General Category and produce the relevant certificate in original issued by a

competent authority in the Directorate of Resettlement and Rehabilitation, New Delhi

(under the Ministry of Defence, Govt. of India) or in the Ministry of Home Affairs, Govt.

of India, as applicable, at the time of counselling.

Eligibility Criteria

Qualifying Examination

Candidates applying for should have either completed or appearing in 2006 in

any one of the following qualifying examinations :

• The final examination of the 10+2 system, conducted by any recognized

Central/State Board, such as Central Board of Secondary Education, New Delhi;

Council for Indian School Certificate Examination, New Delhi; etc.;

• Intermediate or two-year Pre-University Examination conducted by a recognized

Board/ University.

• Final Examination of the two-year course of the Joint Services Wing of the

National Defence Academy.

• General Certificate Education (GCE) Examination (London/Cambridge/Sri

Lanka) at the Advanced (A) level.

• High School Certificate Examination of the Cambridge University.

• Any Public School/Board/University Examination in India or in any foreign

country recognized by the Association of Indian Universities as equivalent to

10+2 system.

• H.S.C. Vocational Examination.

• Senior Secondary School Examination conducted by the National Open School

with a minimum of five subjects.

• 3 or 4-year Diploma recognized by AICTE or a State Board of Technical

Education.

In case the relevant qualifying examination is not a public examination, the candidate

must have passed at least one public (Board or Pre-University) examination at an earlier

level.

Eligibility Criteria for Candidates appearing in qualifying examination in

(i) The candidates belonging to the general category must secure a minimum of 60%

marks in aggregate in their Qualifying Examination. Candidates belonging to SC, ST and

PD categories must secure a minimum of 55% in aggregate in the Qualifying

Examination. If any Board awards only letter grades without providing an equivalent

percentage of marks on the grade sheet, the candidate should obtain a certificate from the

Board specifying equivalent marks, and submit it at the time of counselling. In case, such

a certificate is not provided by the candidate, the decision of the Joint Implementation

Committee regarding his/her eligibility shall be held final.

(ii) With effect from, a candidate is allowed only two attempts to write JEE.

Furthermore, he/she is allowed to write JEE only in the year in which he/she passes the

qualifying examination and/or in the following year.

(iii) Candidates, who join any of the IITs, IT-BHU Varanasi and ISM Dhanbad

through JEE, will not be permitted to appear in JEE in future.

One-Time Exception

Candidates, who have passed their Qualifying Examination in or earlier, will be

permitted to appear in JEE, as a last chance, irrespective of the marks secured in

the Qualifying Examination, or the number of earlier attempts at JEE, subject to their

satisfying age limit criteria specified in section 8.5. This exception is also applicable to

those candidates who are currently registered in any of the IITs, IT-BHU, Varanasi, and

ISM, Dhanbad.

Important Notes

(i) Those candidates who will be appearing in the qualifying examination in or later

are not eligible to apply for JEE.

(ii) All provisional admissions to candidates who are appearing in the qualifying

examination in the year will stand cancelled, if the proof of having passed the

Qualifying Examination, as per the eligibility criteria specified in section 8.2, is not

submitted to the concerned Institute.

(iii) All admissions will be subject to verification of facts from the original

certificates/documents of the candidates. If an applicant is found ineligible at a later date

even after admission to an Institute, his/her admission will be cancelled. The decision of

the Joint Admission Board regarding the eligibility of any applicant shall be final.

Date of Birth

Only those candidates, whose date of birth falls on or after, are eligible

for JEE. However, in the case of SC, ST and PD candidates, upper age limit is

relaxed by 5 years, i.e., SC, ST and PD candidates, who were born on or after are eligible. Only the date of birth as recorded in the High School/first

Board/Pre-University Certificate will be taken as authentic. Candidates must produce this

certificate in original as a proof of their age at the time of counselling, failing which they

will be disqualified.

Physical Fitness

All qualified candidates will have to submit a Physical Fitness certificate from a

Registered Medical Practitioner in the prescribed format that will be made available to

them at an appropriate time. They will be admitted only if they are physically fit for

pursuing a course of study at the participating Institutes.

Special Requirements for Mining Engineering and Mining Machinery Courses

Candidates opting for these courses should make sure that they are free from colour

blindness. They will be required to submit a certificate from a Registered Medical

Practitioner to this effect at the time of counselling. The standard of visual acuity with or

without glasses will be adhered strictly for candidates seeking admission in Mining as per

DGMS Circular 14 of 1972. Persons with one-eyed vision are not permitted to work

underground. Candidates with above limitations are not allowed to opt for admission to

Mining Engineering or Mining Machinery Engineering.

Women Candidates for Mining Courses

Section 46 (1) of the Mines Act, 1952 states that “No woman shall, notwithstanding

anything contained in any other law, be employed (a) in any part of a mine which is

below ground, (b) in any mine above ground except between the hours 6 a.m. and 7

p.m.”. Women candidates are not admitted to Mining Engineering and Mining Machinery

Engineering at ISM Dhanbad, whereas the corresponding programmes at IIT Kharagpur

and IT-BHU, Varanasi have no such restriction.

Admit Cards

The Admit Card for the examination will be sent by Registered Post/Speed Post only to

those eligible candidates who have submitted the Application Form, complete in all

respects. The Institutes will not be

responsible for any postal delay or irregularity resulting in non-delivery of the Admit

Card. No duplicate Admit Card will be issued.

The Admit Card will bear the name, photograph, signature, date of birth, address,

language of Question Paper, and category of the candidate along with name and address

of the JEE Centre allotted. The candidate should carefully examine the Admit Card

received by him/her for all the entries made therein. In case of any discrepancy, the

candidate should inform the issuing Institute immediately. If the Admit Card is not

received by the candidate should obtain his/her Registration Number

and Examination Centre from the Institute of his/her zone through phone (IVRS)/

Website. On receiving these data, the candidate should write his/her Name, Application

No., Registration No. and Examination Centre on two identical halves of an A4-size

paper. He/she should then affix a photograph and put signature (as given in the

Application Form) on each of them. The candidate should get the photographs and the

signatures attested by the Head of the Institution last attended/gazetted officer/notary

public, and meet the IIT Representative with this paper  in the office of

the Presiding Officer at the Examination Centre. The candidate must bring the

Acknowledgement Card for the receipt of his/her Application Form.

Impersonation is a legally punishable offence. No applicant will normally be permitted

to write the examination without a valid Admit Card. The admit card should be presented

to the invigilators for verification. The candidate’s identity will be verified in

respect of his/her details on the admit card/centre verification record. If the identity is in

doubt, the candidate may not be allowed to appear in the examination. The authorities

may at their discretion permit the candidate to appear for the examination after

completing formalities including taking of thumb impression. No extra time will be

allowed for these formalities to be completed.

Since the successful candidates are required to produce the Admit Card at the time

of counselling and admission, it should be carefully preserved till the admission

through JEE is completed

Merit List

Ranking

Based on the cut-off marks in the individual subjects as well as aggregate marks in the

Examination, a common merit list will be prepared without any relaxed criteria. In

addition, separate merit lists of candidates belonging to SC, ST, and PD categories will be

prepared with different relaxed norms relevant to their categories. While preparing these

merit lists, if a candidate belongs to more than one category of relaxed norms, he/she

shall be considered only in the category in which he/she gets the maximum benefit. There

will not be any separate list of wait-listed candidates.

Tie Breaking

Tie breaking criterion adopted for awarding ranks to the candidates who have scored

same aggregate marks is as follows:

For each subject, the mean marks will be calculated on the basis of marks obtained by

those candidates who have appeared in all three subjects. A candidate will be ranked

higher, if he/she has scored higher marks in the subject having the lowest mean marks. If

two or more candidates score the same marks in the above mentioned subject, then the

marks of the subject with second lowest mean marks will be used for breaking the tie.

Candidates scoring the same marks in all three subjects will be given the same rank.

Regrading and Retotalling

Since the machine-gradable sheets are graded and scrutinized with extreme care, there is

no provision for regrading and retotalling. No photocopies of the machine- gradable

sheets will be made available. No correspondence in this regard will be entertained

Counselling

Candidates qualified for counselling will be informed of their All India Ranks (AIR)

by post and will be called for counselling in order of their AIR. A candidate can also

obtain this information on the website, IVRS or by calling the JEE office from

where he/she received the admit card, one day after the declaration of the results of

JEE. In case a qualified candidate does not receive the counselling letter, the

candidate must still appear for counselling on the dates specified on the back cover

of this brochure at the Institute from where he/she had received the admit card. The

counselling brochure will also be made available on the website.

Counselling is not meant for instant seat-allocation at these Institutes. During counselling,

candidates are helped in exercising their options for courses and Institutes. Seat allocation

is made centrally on a later date on the basis of AIR-cum-choices exercised by the

candidates. Each candidate will be counselled only once as per the schedule.

The dates for counselling (that is, verification of documents and submission of choice

sheets for courses and Institutes) are given on the back cover. During counselling, various

documents for verifying identity, age, marks sheet of qualifying examination, and

category, should be brought, all in original with two photocopies of each. On failing to

establish the authenticity of any one of the above documents, the candidate will not be

considered for admission.

In addition, the candidates must bring a physical fitness certificate from a Registered

Medical Practitioner in a format that will be made available to them at an appropriate

time.

Performance Cards

The performance cards will be sent to all candidates. The performance card of the

examination cannot be used by any person/institution without prior permission of Joint

Admission Board (JAB) of JEE

SYLLABUS:

Physics

General: 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-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.

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, 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 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, 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.

Electricity and magnetism: 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.

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.

Modern physics: Atomic nucleus; Alpha, beta and gamma 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.

Mathematics

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,

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.

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).

Analytical geometry

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.

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's 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.

Integral calculus: Integration as the inverse process of differentiation, indefinite

integrals of standard functions, definite integrals and their properties, Fundamental

Theorems 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.

Vectors: Addition of vectors, scalar multiplication, dot and cross products, scalar triple

products and their geometrical interpretations.

Mathematics

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,

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.

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).

Analytical geometry

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.

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's 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.

Integral calculus: Integration as the inverse process of differentiation, indefinite

integrals of standard functions, definite integrals and their properties, Fundamental

Theorems 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.

Vectors: Addition of vectors, scalar multiplication, dot and cross products, scalar triple

products and their geometrical interpretations.

Chemistry

Physical chemistry

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, neutralisation, 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, pressurevolume

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 DG and

DGo 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 DG; 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, alpha, beta, gamma), 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: Elementary 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 alpha, beta and

gamma 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.

Inorganic Chemistry

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: nomenclature 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.

Organic Chemistry

Concepts: Hybridisation of carbon; Sigma and pi-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 bifunctional

compounds); Conformations of ethane and butane (Newman projections);

Resonance and hyperconjugation; Keto-enol tautomerism; 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: Structure 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: General 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.

SYLLABUS FOR APTITUDE TEST FOR B. Arch. and

B.Des

Freehand drawing: 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. 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, colour, volume and

orientation. Visualization through structuring objects in memory. Imagination

and aesthetic sensitivity: Composition exercise with given elements. Context

mapping. Creativity check through innovative uncommon test with familiar objects.

Sense of colour 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.State/City/Town

ONE TIME EXCEPTION :

Candidates, who have passed their qualifying examination in or earlier, will be

permitted to appear in JEE, as a last chance, irrespective of the marks secured or

the number of earlier attempts at JEE subject to their satisfying the age limit. This one

time exception will also be applicable to the candidates who are currently registered in

any of the IITs, IT-BHU, Varanasi, and ISM, Dhanbad.

PATTERN OF EXAMINATION :

Three Question papers of two hours duration each in Physics, Mathematics, and

Chemistry. All questions will be of objective type in nature designed to test

comprehension and analytical ability of the candidates.

QUESTION PAPER LANGUAGES: English/Hindi

RESERVATION OF SEATS :

• 15% for SC and 7.5% for ST candidates with relaxed qualifying norms for

admission. SC/ST candidates, who do not qualify for admission to the UG

courses, may be offered admission to the Preparatory Course of one-year duration

provided (i) the seats are available, (ii) the candidates satisfy minimum norms,

and (iii) the candidates have not undergone preparatory course earlier in any of

these Institutes. Candidates successfully completing the Preparatory Course will

be offered admission to the first year in the academic year without

appearing in JEE again.

• 3% for PD, including leprosy-cured candidates, who are otherwise fit to pursue

the course and who qualify for admission under relaxed norms relevant for this

category.

PREFERENTIAL ALLOTMENT OF SEATS :

Two seats in each Institute for children of defence/paramilitary personnel killed or

permanently disabled in action during war or peacetime operations (DS) and who qualify

in the General Category.