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JOINT ADMISSION TEST FOR M.Sc.-2009 November 25, 2008

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JOINT ADMISSION TEST FOR M.Sc.-2009

 
ACADEMIC PROGRAMS

The following are the M.Sc. (Two Year)/M.Sc.-Ph.D. Dual Degree and other Post-B.Sc. programs at different IITs to which admissions shall be made on the basis of JAM-2009.

IIT Bombay (IITB): Two-year Master of Science (M.Sc.) programs in: (i) Applied Statistics and Informatics, (ii) Applied Geology, (iii) Applied Geophysics, (iv) Biotechnology, (v) Chemistry, (vi) Mathematics, and (vii) Physics.
M.Sc.-Ph. D. Dual Degree programs in: (i) Energy, and (ii) Physics.

IIT Delhi (IITD): Two-year Master of Science (M.Sc.) programs in: (i) Chemistry, (ii) Mathematics, and (iii) Physics.

IIT Guwahati (IITG): Two-year Master of Science (M.Sc.) programs in: (i) Chemistry, (ii) Mathematics and Computing, and (iii) Physics.

IIT Kanpur (IITK): Two-year Master of Science (M.Sc.) programs in: (i) Chemistry, (ii) Mathematics, (iii) Physics, and (iv) Statistics.
M.Sc.- Ph.D. Dual Degree program in Physics (Transfer from M.Sc.-Ph.D. Dual Degree program to M.Sc. Physics program is not permitted).

IIT Kharagpur (IITKgp): M.Sc.- Ph.D. Dual Degree programs in: (i) Chemistry, (ii) Geological Sciences, (iii) Geophysics, (iv) Mathematics and (v) Physics.

IIT Madras (IITM): Two-year Master of Science (M.Sc.) programs in: (i) Chemistry, (ii) Mathematics, and (iii) Physics.

IIT Roorkee (IITR): Two-year Master of Science (M.Sc.) programs in: (i) Applied Geology, (ii) Applied Mathematics, (iii) Biotechnology, (iv) Chemistry, (v) Industrial Mathematics and Informatics, and (vi) Physics.
Master of Technology (M.Tech.) program in Geophysical Technology.
Master of Technology (M.Tech.) program in Geological Technology.
Three-year Interdisciplinary Master of Computer Applications (MCA) program.

From the session 2009-10 IIT Kharagpur is introducing M.Sc.-Ph.D. Dual Degree programs in Chemistry, Geological Sciences, Geophysics, Mathematics and Physics instead of M.Sc. Two Year programs. The admissions to these programs will be through JAM-2009. A student admitted to a Dual Degree program will be allowed to enroll for Ph.D. provided he/she has certain minimum CGPA at the end of the fourth semester; otherwise he/she will have to leave with a M.Sc. degree. A student may also on his/her own, decide not to continue with the Ph.D. program and leave with an M.Sc. degree after the end of the fourth semester.

The academic programs, their durations and number of seats available in different institutes with program codes are listed below.

Academic programs Available at Different Institutes for JAM-2009

Sl. No.

Name of the Academic program

Duration
(Semester)

Number of Seats Available at Different IITs* and program Codes**

     
IIT Bombay
IIT Delhi
IIT Guwahati
IIT Kanpur
IIT Kharagpur
IIT Madras
IIT Roorkee
1. M.Sc. Applied Geology

4

25

(13)

-

-

-

-

-

14

(73)

2. M.Sc. Applied Geophysics

4

13

(14)

-

-

-

-

-

-

3. M.Sc. Applied Mathematics

4

-

-

-

-

-

-

14

(74)

4. M.Sc. Applied Statistics

and Informatics

4

32

(18)

-

-

-

-

-

-

5. M.Sc. Biotechnology

4

24

(11)

-

-

-

-

-

33

(71)

6. M.Sc. Chemistry

4

34

(12)

46

(21)

39

(31)

35

(41)

-

46

(61)

22

(72)

7. M.Sc. Industrial Mathematics and Informatics

4

-

-

-

-

-

-

14

(75)

8. M.Sc. Mathematics

4

26

(15)

46

(22)

-

34

(42)

-

46

(62)

-

9. M.Sc. Mathematics and Computing

4

-

-

39

(32)

-

-

-

-

10. M.Sc. Physics

4

33

(16)

46

(23)

39

(33)

25

(43)

-

46

(63)

22

(76)

11. M.Sc. Statistics

4

-

-

-

34

(45)

-

-

-

12. M.Sc.-Ph.D Dual Degree in Chemistry

-

-

-

-

-

39

(51)

-

-

 

13. M.Sc. Ph.D. Dual Degree in Energy

-

15

(19)

14. M.Sc.-Ph.D Dual Degree in Geological Sciences

-

-

-

-

-

26

(52)

-

-

15. M.Sc.-Ph.D Dual Degree in Geophysics

-

-

-

-

-

21

(53)

-

-

16. M.Sc.-Ph.D Dual Degree in Mathematics

-

-

-

-

-

26

(54)

-

-

17. M.Sc.- Ph.D. Dual Degree program in Physics

-

10

(17)

-

-

12

(44)

39

(55)

-

-

18. M.Tech. Geological Technology

6

-

-

-

-

-

-

12

(79)

19. M.Tech. Geophysical Technology

6

-

-

-

-

-

-

12

(78)

20. Master of Computer Applications

6

-

-

-

-

-

-

42

(77)

* The number of seats may vary at the time of admission.

** The numbers in parentheses denote the program code.

 

MINIMUM EDUCATIONAL QUALIFICATIONS FOR ADMISSION

M.Sc. Applied Geology (IITB, IITR)/M.Tech. Geological Technology (IITR)/M.Sc.-Ph.D. Dual Degree in Geological Sciences (IITKgp)
Bachelor’s degree with Geology as a subject for three years/six semesters and any two subjects among Mathematics, Physics, Chemistry and Biological Science. The candidate must have Mathematics at (10+2) level.

M.Sc. Applied Geophysics (IITB)
Bachelor’s degree with both Physics and Mathematics as subjects for two years and at least one of them as a subject for three years.

M.Sc.-Ph.D. Dual Degree in Geophysics (IITKgp)
Bachelor’s degree with two subjects among Physics, Mathematics and Geology for at least two years/four semesters each and the remaining one for at least one year / two semesters.

M.Tech. Geophysical Technology (IITR)
Bachelor’s degree with Mathematics and Physics as subjects and any one among the following subjects: Chemistry, Geology, Statistics, Electronics and Computer Science.

M.Sc. Applied Mathematics (IITR)/M.Sc. Industrial Mathematics and Informatics (IITR)/M.Sc. Mathematics (IITB, IITD, IITK, IITM)/M.Sc. Mathematics and Computing (IITG)/M.Sc.-Ph.D. Dual Degree in Mathematics (IITKgp)
Bachelor’s degree with Mathematics as a subject for at least two years/four semesters.

M.Sc. Applied Statistics and Informatics (IITB)/M.Sc. Statistics (IITK)
Bachelor’s degree with either Mathematics or Statistics as a subject for at least two years/four semesters.

M.Sc. Biotechnology (IITB, IITR)
Bachelor’s degree in any branch of Science/ Agriculture / Pharmacy / Veterinary / Engineering / Medicine (MBBS).

M.Sc. Chemistry (IITB, IITD, IITG, IITK, IITM, IITR)/M.Sc.-Ph.D. Dual Degree in Chemistry (IITKgp)
Bachelor’s degree with Chemistry as a subject for three years/six semesters and Mathematics at (10+2) level.

M.Sc. Physics (IITB, IITD, IITG, IITK, IITM, IITR) / M.Sc.-Ph.D. Dual Degree program in Physics (IITB, IITK, IITKgp)
Bachelor’s degree with Physics as a subject for at least two years/four semesters and Mathematics for at least one year/two semesters.

M.Sc.-Ph.D. Dual Degree program in Energy (IITB)
Bachelor’s degree with any one of Chemistry, Mathematics and Physics for two years/four semesters, and any one of the remaining two subjects for at least one year/two semesters.

Master of Computer Applications [MCA] (IITR)
Bachelor’s degree with Mathematics as a subject for at least one year for annual system candidates/at least two papers of Mathematics for semester system candidates.

 

ELIGIBILITY REQUIREMENTS FOR ADMISSION

JAM-2009 qualified candidates shall have to fulfill the following eligibility criteria for admissions in IITs.

•  At least 55% aggregate marks (taking into account all subjects, including languages and subsidiaries, all years combined) for General/OBC Category candidates and at least 50% aggregate marks (taking into account all subjects, including languages and subsidiaries, all years combined) for SC/ST and PD Category candidates in the qualifying degree.

For candidates with letter grades/CGPA (instead of percentage of marks), the equivalent percentage of marks will be decided by the admitting institute(s).

At the time of admission, all admitted candidates will have to submit a physical fitness certificate from a registered medical practitioner in the prescribed form. At the time of registration, the admitted candidates may have to undergo a physical fitness test by a medical board constituted by the Admitting Institute. In case a candidate is not found to be physically fit to pursue his/her chosen course of study, his/her admission may be cancelled.

Note:

(i) It will entirely be the responsibility of the candidate to prove that he/she satisfies the minimum educational qualifications and eligibility requirements for admissions.

(ii) The Admitting Institute has the right to cancel, at any stage, the admission of a candidate who is found admitted to a course to which he/she is not entitled, being unqualified or ineligible in accordance with the ordinances and regulations in force.

 
   
 

JOINT ADMISSION TEST FOR M.Sc.-2009 November 25, 2008

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JOINT ADMISSION TEST FOR M.Sc.-2009

 

IMPORTANT DATES FOR JAM-2009

Issue of Application Form and Information Brochure at Bank Counters / by Post only from IIT Kharagpur / Commencement of Online Registration November 24, 2008
(Monday)
Last date for receipt of requests at IIT Kharagpur for issue of application material by Post January 07, 2009
(Wednesday)
Last date for issue of Application Form and Information Brochure at Bank Counters January 16, 2009
(Friday)
Last date for Online Registration on the website January 19, 2009
(Monday)
Last date for receipt of completed Application Form along with Pay-in-slip and Demand Draft (if any) / Online Registration Form along with Demand Draft at the Organizing Institute ( IIT Kharagpur) January 22, 2009
(Thursday)
Date of JAM-2009 Test May 3, 2009
(Sunday)
Announcement of the Result of JAM-2009 Test

 

At 17:00 hrs on May 25, 2009
(Tuesday)
Issue of Admission Form by JAM Office of the Organizing Institute / downloading from the Website of Organizing Institute starts May 26, 2009
(Tuesday)
Last date for receipt of completed Admission Form at Organizing Institute along with Demand Draft of Rs. 300/- only June 09, 2009
(Tuesday)

 

 

list of institutions participating in AIEEE 2009 November 21, 2008

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A. National Institutes of Technology(NITs)

1. National Institute of Technology , Agartala

2. Motilal Nehru National Institute of Technology, Allahabad (U.P.)

3. Maulana Azad National Institute of Technology, Bhopal (MadhyaPradesh)

4. National Institute of Technology, Calicut (Kerela)

5. National Institute of Technology, Durgapur (West Bengal)

6. National Institute of Technology, Hamirpur (Himachal Pradesh)

7. Malviya National Institute of Technology, Jaipur (Rajasthan)

8. Dr. B R Ambedkar National Institute of Technology, Jalandhar(Punjab)

9. National Institute of Technology, Jamshedpur (Jharkhand)

10. National Institute of Technology, Kurukshetra (Haryana)

11. Visvesvaraya National Institute of Technology, Nagpur(Maharashtra)

12. National Institute of Technology, Patna (Bihar)

13. National Institute of Technology, Rourkela (Orissa)

14. National Institute of Technology, Silchar (Assam)

15. National Institute of Technology, Hazartbal, Srinagar (J & K)

16. Sardar Vallabhbhai National Institute of Technology, Surat(Gujarat)

17. National Institute of Technology, Surathkal, Mangalore(Karnataka)

18. National Institute of Technology, Tiruchirapalli (Tamil Nadu)

19. National Institute of Technology, Warangal (Andhra Pradesh)

20. National Institute of Technology, Raipur (Chhattisgarh)

B. Indian Institutes of Information Technology (IIITs, IIITM &

IIITDM)

1. Indian Institute of Information Technology, Jhalwa, Allahabad

(U.P.)

2. Indian Institute of Information Technology, Amethi , Allahabad(UP)

3. Atal Bihari Vajpayee Indian Institute of Information Technology &Management, Gwalior (M.P.)

4. Pandit Dwarka Prasad Mishra Indian Institute of InformationTechnology, Design & Manufacturing, Jabalpur (M.P.)

5. Indian Institute of Information Technology, Design &Manufacturing, Kanchipuram, Tamil Nadu

C. Self Financed Deemed Universities/Universities/Other

Institutions

(Subject to the final approval from MHRD, Govt. of India

and Central Councilling Board)

1. International Institute of Information Technology, Hyderabad(A.P.)

2. Birla Institute of Technology (Mesra Centre), Mesra, Ranchi(Jharkhand)

3. Birla Institute of Technology (Patna Centre), Mesra, Ranchi

4. Birla Institute of Technology, (Deogarh Centre), Mesra, Ranchi

5. Kalinga Institute of Industrial Technology, Bhubhaneswar(Orissa)

6. Shanmugha Arts, Science, Technology & Research Academy(Sastra), Thanjavur (Tamil Nadu)

7. LNM Institute of Information Technology, Jaipur (Rajasthan)

APPENDIX – I

Tentative list of institutions participating in AIEEE 2009

8. Sri Chandrasekharendra Saraswati Viswa Mahavidyalaya,

Kanchipuram (Tamil Nadu)

9. Dr. M.G.R. Educational and Research Institute, Chennai (Tamil

Nadu)

10. Faculty of Engineering & Technology, Gurukul Kangri

Vishwavidyalaya, Haridwar (Uttarakhand)

11. Jaipur National University, Jagatpura, Jaipur (Rajasthan)

12. Lovely Professional University, Phagwara, Distt. Kapurthala

(Punjab)

13. Shri Mata Vaishno Devi University, Gandhinagar, Jammu Tawi

(J & K)

14. Kalasalingam University, Anand Nagar, Krishnan Koil (TN)

15. Sir Padampat Singhania University, Udaipur (Rajasthan)

16. Siksha ‘O’ Anusandhan University, Bhubaneswar (Orissa)

D. Other Central Government/State Government Funded

Institutions

1. Indian Institute of Carpet Technology, Bhadohi (U.P.) (IICT, Bhadohi)

2. School of Planning and Architecture, I.P. Estate, New Delhi (SPA,

Delhi).

3. National Insitute of Foundary & Forge Technology, P.O. Hatia,

Ranchi (Jharkhand), (NIFFT, Ranchi)

4. Assam University, Silchar (Assam)

5. J.K. Institute of Applied Physics & Technology, University of

Allahabad, Allahabad- 211002 (U.P.)

6. Tezpur University, NAPAAM, Tezpur (Assam)

7. M.J.P. Rohilkhand University, Bareilly (UP)

8. School of Planning and Architecture, Bhopal

9. School of Planning and Architecture, Vijayawada

E. States/UTs

The States/Institutes listed below are likely to use AIEEE-2009 ranks

to fill seats through their own counselling.

1. Haryana

2. Uttarakhand

3. Himachal Pradesh (All India Quota will be filled through Central

Counselling Board)

4. Army Institute of Technology, Pune, Maharashtra

5. 15% All India Quota in Delhi College of Engineering and N.S.I.T.,Delhi under Delhi University will be filled through CentralCounselling Board.

RULE OF CENTRAL COUNSELLING BOARD FOR AIEEE 2009

As per the direction of the MHRD 50% of the seats in NITs will be filled

from AIEEE eligible candidates of States where NITs are located and

rest 50% will be filled on All India Merit basis. MHRD will make efforts

to establish NITs for those States/UTs which do not have NITs as of

now. In case, the new NITs are not established before the start of

admission based on AIEEE 2009, seats will be made available for the

eligible students of such States/UTs which do not have any NIT, so

as to keep the number of seats for such States/UTs at the level of

2007, after making due adjustment for the number of seats filled by

eligible candidates of these States/UTs.

A list of the participated institutions will be furnished by Central

Counseling Board 2009 at appropriate time which will be available on

 

SCHEDULE & PATTERN of IIT JEE-2009 November 10, 2008

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SCHEDULE & PATTERN of JEE-2009

Schedule

 

The date and the schedule of JEE-2009:

 

April 12, 2009 (Sunday)

Paper- 1:    09.00 AM – 12.00 NOON (IST)

 

Paper- 2 :   02.00 PM – 05.00 PM (IST)

 

The schedule will remain unaltered even if the above date is declared a public holiday.

 

Pattern

 

Question Papers

 

There will be two question papers, each of three hours duration. Both the question papers would consist of three separate sections on Chemistry, Mathematics and Physics. Questions in these papers will be of objective type, which are to be answered on a specially designed machine-gradable sheet (ORS – Optical Response Sheet) using HB pencils only. Incorrect answers will be awarded negative marks.

 

Language and Font of Question Papers

 

Candidates can opt for Question Papers either in English or in Hindi. This option should be exercised while filling the application form. It cannot be changed at any later stage.

 

Visually impaired candidates, on request, will be provided with question papers with 20% enlarged font.

 
Calculating Aids

 

Use of log tables and any electronic calculating aids are NOT permitted in JEE-2009.

 

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 on June 11 and June 15, 2009. The test will consist of one paper of three hours duration – from 10:00 to 13:00 hrs. Candidates who fail to qualify in the Aptitude Test will not be eligible for admission to either B.Arch. or B.Des. courses. Question papers for aptitude test for B.Arch and B.Des will be in English only. The candidate should write the test only once, either on June 11 or June 15, 2009.

 

SYLLABUS IITJEE November 9, 2008

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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, 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 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, ), 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 determ- ination 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 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 bi-functional 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.

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 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 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.

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

 

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 galvano- meter, 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.