Practicing Success

Complete Examination Info

IIT-JEE - 2024

Ace Your

IIT-JEE Preparation Today

file_1705039910209

JEE MAIN 2024

IMPORTANT INFORMATION AT A GLANCE

Important Dates:

EVENTS

(a) Session-1: JEE (Main) - January 2024

Online Submission of Application Form

01 November 2023 to 30 November 2023(up to

09:00 P.M.)

Last date for successful transaction of prescribed Application Fee

30 November 2023 (up to 11:50 P.M.)

Announcement of the City of Examination

By the second week of January 2024

Downloading Admit Cards from the NTA website

03 days before the actual date of theExamination

Dates of Examination

Between 24 January and 01 February 2024

Display of Question Paper attempted by the

Candidate and Answer Keys for inviting challenges

To be displayed on the NTA website

Declaration of Result

12 February 2024

(b) Session-2: JEE (Main) - April 2024

Online Submission of Application Form

02 February 2024 to 02 March 2024(up to 09:00

P.M.)

Last date for successful transaction of prescribedApplication Fee

02 March 2024 (up to 11:50 P.M.)

Announcement of the City of Examination

By the third week of March 2024

Downloading Admit Cards from the NTA website

03 days before the actual date of the Examination

Dates of Examination

Between 01 April and 15 April 2024

Display of Question Paper attempted by the

Candidate and Answer Keys for inviting challenges

To be displayed on the NTA website

Declaration of Result

25 April 2024

(c) Duration of Examination for each Session of JEE (Main) - 2024 :

Paper 1 (B.E./B.Tech.)or Paper 2A (B.Arch.)or Paper 2B (B.Planning.)

03 Hours

B.Arch. & B.Planning (both)

03 Hours 30 Minutes

(d) Timing of Examination for each Session: JEE (Main) - 2024 :

Duration of Examination

First Shift

Second Shift

For 3 Hours Paper

09.00 A.M. to 12.00 Noon (IST)

03.00 P.M. to 06.00 P.M.

(IST)

For 3 Hours 30 Minutes Paper

09.00 A.M. to 12.30 P.M. (IST)

03.00 P.M. to 06.30 P.M.

(IST)

Fee Payable for JEE (Main) – 2024 for each session:

(Through Credit Card/Debit Card (except Master/Visa Card)/Net Banking/UPI):

Fee payable for JEE (Main) – 2024 (through Credit Card /Debit Card (exceptMaster/Visa Card) / Net-Banking/UPI)

Type of Candidate

Centres inIndia (Fee in )

CentresOutside India (Fee in ₹)

Paper 1: B.E./B. Tech

or

Paper 2A: B. Arch

or

Paper 2B: B.Planning

General

Male

1000

5000

Female

800

4000

-EWS/ OBC(NCL)

Male

900

4500

Female

800

4000

SC/ST/PwD

Male

500

2500

Female

500

2500

Third Gender

500

3000

Paper 1: B.E./B. Tech &Paper 2A: B. Arch

or

Paper 1: B.E./B. Tech &Paper 2B: B.

Planning

or

Paper 1: B.E./B.Tech,Paper 2A: B. Arch & Paper 2B: B.Planning

or

Paper 2A: B. Arch & Paper 2B: B.Planning

General/Gen-EWS/OBC (NCL)

Male

2000

10000

Female

1600

8000

SC/ST/PwD

Male

1000

5000

Female

1000

5000

Third Gender

5000

Processing charges and Goods & Service Taxes (GST) are to be paid by the candidate, as applicable.

  1. A candidate has the option to apply for one Session or both Sessions (Session 1 and Session 2 of 2024) together and pay the exam fee accordingly. In other words, if a candidate wishes to apply only for one Session, he/she has to pay the Examination Fee only for that Session during the current application period and will have the opportunity to apply again for Session 2 (April 2024).

  2. If a candidate wishes to apply for Session 2, the candidate can log in and pay the Examination Fee for Session 2 during that period.

  1. The application window for Session 2 will be re-opened as per the details available in the Informatin Bulletin and will also be notified separately through a Public Notice.

  2. The fee can be submitted only online through Net Banking, Credit Card, Debit Card, or UPI Services. Processing charges and GST as applicable are chargeable from the candidate (in addition to the examination fee) by the concerned Bank/Payment Gateway Integrator. For details/procedure, please see Appendix-II.

  3. The Confirmation Page of the online Application Form for each session will be generated only after the successful payment of the fee by the Candidate. In case the Confirmation Page is not generated after payment of the fee, then the candidate may have to approach the concerned Bank/Payment Gateway (in the helpline numbers and email given in Appendix-II) to ensure the successful payment or to obtain the refund of duplicate /multiple payments.

    1. Candidates must read carefully the Instructions (including how to fill up the Application Form online) given in the Information Bulletin available on the NTA Website. Candidates not complying with the instructions shall be summarily disqualified.

    2. Candidates can apply for JEE (Main) – 2024 Session 1 and Session 2 through the “Online” mode only. The Application Form in any other mode will not be accepted.

    3. Submission of the Application Form could be made by the candidate online through the NTA website: https:// jeemain.nta.ac.in/

    4. Instructions for filling Online Application Form:

      • Download the Information Bulletin and Replica of the Application Form. Read thesecarefully to ensure your eligibility.

        • Follow the steps given below to Apply Online: Step 1: Registration Process:

        Candidate needs to select any one of the following to register for JEE (Main):

        • To log in/create a Digi locker account through the NAD portal. Or;

        • To log in/create an Academic Bank of Credits ID (ABC ID) through the ABC ID. Or;

        • To log in using an Indian Indian Passport Number. Or;

        • To log in using a Non-Indian Passport Number. Or;

        • To log in using a PAN Card Number. Or;

        • To log in using an Aadhaar Enrollment Number.

          The candidates are advised to register through Digi Locker/ABC ID.

          Those candidates who do not wish to register through the Digi Locker / ABC ID, need to report early (one hour prior to the entry time) at the examination Centre on the day of the examination.

          Candidate needs to select options for Authentication at the Examination Centre.

        • Authenticate through an Aadhaar Card

        • Authenticate through Valid Government ID with a Photograph

        Please note that for authentication through non-Aadhaar options Candidate needs to reach the Exam Centre 1 hour earlier than other Candidates to get their Biometrics recorded at the Exam Centre.

        Candidate must write his / her Full Name, the same as printed on the certificate/marksheet of Class 10 / equivalent Examination otherwise the form will be rejected.

        The candidate should submit the required details while filling the Online Application Form and is also required to create a PASSWORD, choose Security Question, and enter his/her Answer.

        After successful submission of the personal details, an Application number will be generated and it will be used to complete the remaining Steps of the Application Form and will also be required for all future reference/correspondence.

        This application number will also be used/referred for both Sessions of JEE (Main) - 2024. For subsequent logins, the candidate will be able to login directly with the respective system- generated Application Number and created Password.

        Step 2: Application Form:

        The Candidates can log in with the system-generated Application Number and pre-created Password or Digi locker ID / ABC ID and their password for completing the Application Form including filling up personal details, applying for the Paper, choosing the Examination Cities, providing the details of Educational Qualifications, and uploading the images and documents (if any).

        Upload Scanned Images of the Candidate’s Photograph, Signature, and PwD Certificate/ UDID Card (Swawlamban Card) (wherever applicable):

        1. The recent photograph should be either in colour or black & white with 80% face(without mask) visible including ears against

          a white background.

        2. The scanned photograph and signature should be in JPG/JPEG format (clearly legible).

        3. The size of the scanned photograph should be between 10 kb to 200 kb (clearly legible).

        4. The size of the scanned signature should be between 4 kb to 30 kb (clearly legible)

        5. The size of the scanned copy of the PwD certificate should be in pdf between 50 kb to 300kb (clearly legible)

          Step 3: Fee Payment:

          After completing Step 1 and Step 2, the candidates have to pay the requisite examination fee. The fee can be only submitted online through Net Banking, Credit Card, Debit Card, and UPI. Processing charges and GST as applicable are chargeable to the candidate (in addition to the examination fee) by the concerned Bank.

          The Confirmation Page of the online Application Form will be generated only after successful payment by the Candidate. In case the Confirmation Page is not generated after payment of fee, then the candidate may have to approach the concerned Bank (in the helpline number and e- mail given in the Information Bulletin) for ensuring the successful payment or for obtaining the refund of duplicate/multiple payments.

          • Download, save, and print a copy of the Confirmation Page of the Application Form (which would be downloadable only after the successful remittance of the fee) for future reference.

          • All 3 Steps can be done together or at separate times. The submission of the Application of a candidate could be considered successful and his/her candidature would be confirmed only onthe successful transaction/receipt of the prescribed application fee from him/her.

    5. Candidates shall ensure that the information entered by them in their respective online Application Forms is correct.

    6. All candidates must ensure that they have provided the correct e-mail address and mobile number. A copy of the Confirmation Page and Final Score Card of JEE (Main) – 2024 will also be sent to the registered e-mail address of the Candidate as well as the Parent/Guardian.

    7. Information provided by the candidates in their respective online Application Forms, like, the name of the candidate, contact details, address details, category, PW status, educational qualification details, date of birth, choice of examination cities, etc. will be treated as final. Any request for change in such particulars will not be considered by NTA under any circumstances.

    8. NTA does not edit/modify/alter any information entered by the candidates after completion ofthe application process under any circumstances. Any request for change in information thereafter will not be entertained. Therefore, candidates are advised to exercise utmost caution before filling up the correct details in the Application Form.

    9. NTA disclaims any liability that may arise to a candidate(s) due to incorrect information provided by him/her in his/her online Application Form.

    10. Candidates must ensure that their email address and mobile number to be registered in their online Application Form are their own, as relevant/important information/ communication will be sent by NTA through e-mail on the registered mail address and/or through SMS on the registered mobile number only. NTA shall not be responsible for any non-communication/miscommunication with a candidate in the email address or mobile number given by him/her other than his/her own. Candidates are advised to visit the NTA Website and check their e- mails regularly for the latest updates.

    11. Candidates shall appear at their own cost at the Examination Centre on the date, shift, andtime indicated on their Admit Cards issued by the NTA in due course through its website.

EXAMINATION SCHEME

    1. Mode of Examination

      JEE (Main) - 2024 is being conducted in the following modes:

      1. Paper 1 (B.E. /B. Tech.) in “Computer Based Test (CBT)” mode only.

      2. Paper 2A (B. Arch): Mathematics (Part-I) and Aptitude Test (Part-II) in “Computer Based Test (CBT)” mode only and Drawing Test (Part-III) in pen and paper (offline) mode, to be attempted on drawing sheet of A4 size.

      3. Paper 2B (B. Planning): Mathematics (Part-I), Aptitude Test (Part-II), and Planning-Based Questions (Part-III) in Computer-Based Test (CBT) mode only.

      Medium of the Question Papers: Drawing from the National Education Policy (NEP), the JEE (Main) 2024 is being conducted in English, Hindi, Assamese, Bengali, Gujarati, Kannada Malayalam, Marathi Odia, Punjabi, Tamil, Telugu, and Urdu.

    2. Choice of Medium of Question Papers

,

S. No.

Language

Examination Centres

1.

English

All Examination Centres

2.

English and Hindi

All Examination Centres in India

3.

English and Assamese

Examination Centres in Assam

4.

English and Bengali

Examination Centres in West Bengal, Tripura, and Andaman & Nicobar Islands

5.

English and Gujarati

Examination Centres in Gujarat, Daman & Diu, Dadra

& Nagar Haveli

6.

English and Kannada

Examination Centres in Karnataka

7.

English and Malayalam

Examination Centres in Kerala and Lakshadweep

8.

English and Marathi

Examination Centres in Maharashtra

9.

English and Odia

Examination Centres in Odisha

10.

English and Punjabi

Examination Centres in Punjab, Chandigarh, and Delhi/New Delhi (including Faridabad, Ghaziabad, Gurugram, Meerut, Noida/Greater Noida)

11.

English and Tamil

Examination Centres in Tamil Nadu, Puducherry, andAndaman & Nicobar Islands

12.

English and Telugu

Examination Centres in Andhra Pradesh and Telangana

13.

English and Urdu

All Examination Centres in India

The option of language for Question Paper should be exercised carefully while filling up theApplication Form online and it cannot be changed at a later stage.

Please note that for the correctness of the questions in all the question papers, the English version will be taken as final. Candidates while attempting the QP must choose the same medium as opted whileregistering in the Application form.

3.3 Scheme of Examination

Subject combinations for each paper, type of questions in each paper, and mode of examination aregiven in the table below:

PAPER

SUBJECTS

TYPE OF QUESTIONS

MODE OF EXAMINATION

Paper 1: B.E./B.Tech.

Mathematics,Physics and Chemistry

Objective Type - Multiple Choice Questions (MCQs) and Questions for which the answer is a numerical value, with equal weightage to Mathematics,

Physics, and Chemistry

Computer Based Test(CBT)” mode only

3.4 Pattern of Examination

Paper1: B.E./ B. Tech. in Computer Based Test (CBT) mode:

Subject-wise

Subject

Section A

Section B

Marks

distribution of

Mathematics

20*

10*

100

Questions, Total

Number of Questions,

Physics

20*

10*

100

and Marks

Chemistry

20*

10*

100

90

300

*Each Subject will have two sections. Section A will be of Multiple-Choice Questions (MCQs) and Section B will contain Questions whose answers are to be filled in as a numerical value.In Section B, candidates have to attempt any 05 (five) questions out of 10. There will be negative marking for both Section A and Section B. For each question in Section B, acandidate has to enter the correct integer value of the answer using the mouse and the on- screen virtual numeric keypad in the place designated to enter the answer. For Section B, the

answer should be rounded off to the nearest integer.

Marking Scheme for MCQs

Correct Answer or the Most

Appropriate Answer

Four marks (+4)

Incorrect Answer

Minus one mark (-1)

Unanswered / Marked for Review

No mark (0)

Marking Scheme for questions for which the answer is a Numerical value

Correct Answer

Four marks (+4)

Incorrect Answer

Minus one mark (-1)

Unanswered / Marked for Review

No mark (0)

Method of determining merit

Conversion of the raw score in Mathematics, Physics, and Chemistry, andthe conversion of the total into NTA scores.

Overall merit shall be prepared by merging NTA scores of all shifts of all days.

Method of resolving ties

Tie between candidates obtaining equal Total NTA scores in Paper 1: B.E./B.Tech will be resolved in the following manner in descending order:

  1. NTA score in Mathematics, followed by

  2. NTA score in Physics, followed by

  3. NTA score in Chemistry, followed by

  4. Candidate with less proportion of a number of attempted incorrect answers and correct answers in all the subjects in the Test, followed by

  5. Candidate with less proportion of a number of attempted incorrect answers and correct answers in Mathematics in the Test, followed by

  6. Candidate with less proportion of a number of attempted incorrect answers and correct answers in Physics in the Test, followed by

  7. Candidate with less proportion of a number of attempted incorrect answers and correct answers in Chemistry in the Test followed by

  8. Older in Age followed by

  9. Application Number in ascending order

Important Note:

  1. For Multiple Choice Questions: To answer a question, the candidates need to choose one option corresponding to the correct answer

    or the most appropriate answer. However, if any anomaly or discrepancy is found after the process of challenges of the key verification, it shall be addressed in the following manner:

    1. Correct answer or the most appropriate answer: Four marks (+4)

    2. Any incorrect option marked will be given minus one mark (-1).

    3. Unanswered/Marked for Review will be given no mark (0).

    4. If more than one option is found to be correct then Four marks (+4) will be awarded to only those who have marked any of the correct options.

    5. If all options are found to be correct then Four marks (+4) will be awarded to all those who have attempted the question.

    6. If none of the options is found correct or a Question is found to be wrong or a Question is dropped then full marks will be awarded to all candidates who have appeared irrespective of the fact whether the question has been attempted or not attempted by the candidate.

  2. For Numerical Value Questions:

There will be negative marking for Section B. However, if any anomaly or discrepancy is found after the process of challenges of the key verification, it shall be addressed in the following manner:

  1. Correct Answer: Four marks (+4)

  2. Incorrect Answer: Minus one mark (-1)

  3. Unanswered/Marked for Review: No mark (0).

  4. If a question is found to be incorrect or the Question is dropped then Four marks (+4) will be awarded to all those who have attempted the question. The reason could be due to human error or technical error.

  5. Candidates are advised to do the calculations with the constants given (if any) in the questions. The answer should be rounded off to the nearest integer.

Duration of Test

The total time duration for Paper 1 (B.E. /B.Tech.) is given in the table below:

Paper

Subjects

Total Time Duration

For Non-PwD Candidates

*For PwD Candidates

Paper 1 (B.E./B.Tech.)

Physics, Chemistry, and

Mathematics

03 hours

04 hours

*Note: - Compensatory time for PwD Candidates of 20 minutes for a one-hour examination

e-A dmit Card

ADMIT CARD

The e-Admit Card will be issued provisionally to the candidates through the NTA website: https://jeemain.nta.ac.in/, subject to the fulfillment of the eligibility conditions and receipt of the prescribed application fee by NTA.

The candidate has to download the Admit Card from the NTA website. The candidate will appear in the examination at the given Centre on the date and shift/timing as indicated in his/her e-Admit Card.

No candidate will be allowed to appear at the examination Centre, on the date and shift/time other than that allotted to him/her in his/her Admit Card.

In case a candidate is unable to download his/her Admit Card from the website, he/she should approach the NTA Help Line Number: 011-40759000 between 10.00 A.M. to 05.00 P.M.

The candidates are advised to read the instructions on the Admit Card carefully and strictly follow them during the examination.

In case of any discrepancy in the particulars of the candidate or his/her photograph and signature shown in the e-Admit Card and Confirmation Page, the candidate may immediately approach the NTA Help Line from 10:00 A.M. to 05:00 P.M. In such a case, the candidate would appear in the examination with the already downloaded Admit Card. However, NTA will take necessary action to make corrections in the record later.

IMPORTANT INSTRUCTIONS FOR THE CANDIDATES

  1. Candidates are advised to report at the Examination Center well on time i.e. 02 hours before the commencement of the examination.

  2. Candidates should take their seats immediately after the opening of the Examination Hall. If the candidates do not report on time due to any reason i.e. traffic jam, train/bus delay, etc, they are likely to miss some of the important instructions to be announced in the Examination Rooms/Halls. The NTA shall not be responsible for any delay.

  3. The candidate must show, on-demand, the Admit Card downloaded/printed from the NTA website for admission in the examination room/hall. The Test Centre Staff on duty is authorized to verify the identity of candidates and may take steps to verify and confirm the identity credentials. Candidates are requested to extend their full cooperation. Candidates who do not possess valid Admit Cards and authorized Photo IDs shall not be permitted to take the examination under any circumstances by the Centre Superintendent.

  4. A seat indicating Roll Number will be allotted to each candidate. Candidates should find and sit in their allocated seats only. In case a candidate ventures to change his/her seat and doesnot sit on the seat allotted to him/her could face cancellation of candidature. No plea wouldbe entertained in this regard.

  5. The candidate should ensure that the Question Paper available on the computer is as per his/her opted subject indicated in the Admit Card. In case, the subject of the Question Paperis other than his/her opted subject, the same may be brought to the notice of the Invigilator concerned.

  6. The candidates may approach the Centre Superintendent/Invigilator in the room for any technical assistance, first aid emergency, or any other information during the course of the examination.

    For any queries or issues regarding the Computer Based Test, the candidates may contact on Helpline Numbers available on the Joint Entrance Examination (Main) website.

  7. In case a candidate, by furnishing false information, appears in more than one shift/date, his candidature will be cancelled and his result will not be declared.

  8. For those who are unable to appear on the scheduled date of the test for any reason, a re-test shall not be held by the NTA under any circumstances.

Note: Candidates shall appear at their own cost at the Centre on the Date and Shift as indicated in their Admit Card issued by the NTA. Under no circumstances the choice of cities for the Centre and shift provided in the Admit Card shall be changed.

Syllabus for JEE (Main) – 2024

Syllabus for JEE Main Paper 1 (B.E./B.Tech.)- Mathematics, Physics, and Chemistry

MATHEMATICS

UNIT 1: SETS, RELATIONS, AND FUNCTIONS:

Sets and their representation: Union, intersection, and complement of sets and their algebraic properties; Power set; Relation, Type of relations, equivalence relations, functions; one-one, into and onto functions, the composition of functions.

UNIT 2: COMPLEX NUMBERS AND QUADRATIC EQUATIONS:

Complex numbers as ordered pairs of reals, Representation of complex numbers in the form a

+ ib and their representation in a plane, Argand diagram, algebra of complex number, modulus, and argument (or amplitude) of a complex number, Quadratic equations in real and complex number system and their solutions Relations between roots and co-efficient, nature of roots, the formation of quadratic equations with given roots.

UNIT3: MATRICES AND DETERMINANTS:

Matrices, algebra of matrices, type of matrices, determinants, and matrices of order two and three, evaluation of determinants, area of triangles using determinants, Adjoint, and evaluation of inverse of a square matrix using determinants and, Test of consistency and solution of simultaneous linear equations in two or three variables using matrices.

UNIT 4: PERMUTATIONS AND COMBINATIONS:

The fundamental principle of counting, permutation as an arrangement and combination as section, Meaning of P (n,r) and C (n,r), simple applications.

UNIT 5: BINOMIAL THEOREM AND ITS SIMPLE APPLICATIONS:

Binomial theorem for a positive integral index, general term and middle term, and simple applications.

UNIT 6: SEQUENCE AND SERIES:

Arithmetic and Geometric progressions, insertion of arithmetic, geometric means between two given numbers, Relation between A.M and G.M.

UNIT 7: LIMIT, CONTINUITY, AND DIFFERENTIABILITY:

Real–valued functions, algebra of functions, polynomials, rational, trigonometric, logarithmic, and exponential functions, inverse function. Graphs of simple functions. Limits, continuity, and differentiability. Differentiation of the sum, difference, product, and quotient of two functions. Differentiation of trigonometric, inverse trigonometric, logarithmic, exponential, composite, and implicit functions; derivatives of order up to two, Applications of derivatives:

Rate of change of quantities, monotonic-Increasing and decreasing functions, Maxima and minima of functions of one variable,

UNIT 8: INTEGRAL CALCULAS:

Integral as an anti-derivative, Fundamental integral involving algebraic, trigonometric, exponential, and logarithmic functions. Integrations by substitution, by parts, and by partial functions. Integration using trigonometric identities.

Evaluation of simple integrals of the type

The fundamental theorem of calculus, properties of definite integrals. Evaluation of definite integrals, determining areas of the regions bounded by simple curves in standard form.

UNIT 9: DIFFRENTIAL EQUATIONS

Ordinary differential equations, their order, and degree, the solution of differential equation by the method of separation of variables, solution of a homogeneous and linear differential

UNIT 10: CO-ORDINATE GEOMETRY

𝑑𝑦

𝑑𝑥

+ 𝑝(𝑥)𝑦 = 𝑞(𝑥)

Cartesian system of rectangular coordinates in a plane, distance formula, sections formula, locus, and its equation, the slope of a line, parallel and perpendicular lines, intercepts of a line on the co-ordinate axis.

Straight line

Various forms of equations of a line, intersection of lines, angles between two lines, conditions for concurrence of three lines, the distance of a point form a line, co-ordinate of the centroid, orthocentre, and circumcentre of a triangle,

Circle, conic sections

A standard form of equations of a circle, the general form of the equation of a circle, its radius and central, equation of a circle when the endpoints of a diameter are given, points of intersection of a line and a circle with the centre at the origin and sections of conics, equations of conic sections (parabola, ellipse, and hyperbola) in standard forms,

UNIT 11: THREE DIMENSIONAL GEOMETRY

Coordinates of a point in space, the distance between two points, section formula, directions ratios, and direction cosines, and the angle between two intersecting lines. Skew lines, the shortest distance between them, and its equation. Equations of a line

UNIT 12: VECTOR ALGEBRA

Vectors and scalars, the addition of vectors, components of a vector in two dimensions and three-dimensional space, scalar and vector products,

UNIT 13: STATISTICS AND PROBABILITY

Measures of discretion; calculation of mean, median, mode of grouped and ungrouped data calculation of standard deviation, variance, and mean deviation for grouped and ungrouped data.

Probability: Probability of an event, addition and multiplication theorems of probability, Baye's theorem, probability distribution of a random variate,

UNIT 14: TRIGONOMETRY

Trigonometrical identities and trigonometrical functions, inverse trigonometrical functions,and their properties

PHYSICS

UNIT 1: PHYSICS AND MEASUREMENT

Units of measurements, System of Units, S I Units, fundamental and derived units, least count, significant figures, Errors in measurements, Dimensions of Physics quantities, dimensional analysis, and its applications.

UNIT 2: KINEMATICS

The frame of reference, motion in a straight line, Position- time graph, speed and velocity; Uniform and non-uniform motion, average speed and instantaneous velocity, uniformly accelerated motion, velocity-time, position-time graph, relations for uniformly accelerated motion, Scalars and Vectors, Vector. Addition and subtraction, scalar and vector products, Unit Vector, Resolution of a Vector. Relative Velocity, Motion in a plane, Projectile Motion, Uniform Circular Motion.

UNIT 3: LAWS OF MOTION

Force and inertia, Newton’s First law of motion; Momentum, Newton’s Second Law of motion,Impulses; Newton’s Third Law of motion. Law of conservation of linear momentum and its applications. Equilibrium of concurrent forces.

Static and Kinetic friction, laws of friction, rolling friction.

Dynamics of uniform circular motion: centripetal force and its applications: vehicle on a level circular road, vehicle on a banked road.

UNIT 4: WORK, ENERGY, AND POWER

Work done by a constant force and a variable force; kinetic and potential energies, work-energytheorem, power.

The potential energy of spring conservation of mechanical energy, conservative and non- conservative forces; motion in a vertical circle: Elastic and inelastic collisions in one and two dimensions.

UNIT5: ROTATIONAL MOTION

Centre of the mass of a two-particle system, Centre of the mass of a rigid body; Basic concepts of rotational motion; moment of a force; torque, angular momentum, conservation of angular momentum and its applications;

The moment of inertia, the radius of gyration, values of moments of inertia for simple geometrical objects, parallel and perpendicular axes theorems, and their applications. Equilibrium of rigid bodies, rigid body rotation and equations of rotational motion, comparison of linear and rotational motions.

UNIT 6: GRAVITATION

The universal law of gravitation. Acceleration due to gravity and its variation with altitude and depth. Kepler’s law of planetary motion. Gravitational potential energy; gravitational potential. Escape velocity, Motion of a satellite, orbital velocity, time period, and energy of satellite.

UNIT 7: PROPERTIES OF SOLIDS AND LIQUIDS

Elastic behaviour, Stress-strain relationship, Hooke's Law. Young's modulus, bulk modulus, and modulus of rigidity. Pressure due to a fluid column; Pascal's law and its applications. Effect of gravity on fluid pressure.

Viscosity. Stokes' law. terminal velocity, streamline, and turbulent flow.critical velocity. Bernoulli's principle and its applications.

Surface energy and surface tension, angle of contact, excess of pressure across a curved surface,application of surface tension - drops, bubbles, and capillary rise. Heat, temperature, thermal expansion; specific heat capacity, calorimetry; change of state, latent heat. Heat transfer- conduction, convection, and radiation.

UNIT 8: THERMODYNAMICS

Thermal equilibrium, zeroth law of thermodynamics, the concept of temperature. Heat, work, and internal energy. The first law of thermodynamics, isothermal and adiabatic processes.

The second law of thermodynamics: reversible and irreversible processes.

UNIT 9: KINETIC THEORY OF GASES

Equation of state of a perfect gas, work done on compressing a gas, Kinetic theory of gases - assumptions, the concept of pressure. Kinetic interpretation of temperature: RMS speed of gas molecules: Degrees of freedom. Law of equipartition of energy and applications to specific heat capacities of gases; Mean free path. Avogadro's number.

UNIT 10: OSCILLATIONS AND WAVES

Oscillations and periodic motion – time period, frequency, displacement as a function of time. Periodic functions. Simple harmonic motion (S.H.M.) and its equation; phase: oscillations of a spring -restoring force and force constant: energy in S.H.M. - Kinetic and potential energies; Simple pendulum - derivation of expression for its time period:

Wave motion. Longitudinal and transverse waves, speed of the travelling wave. Displacement relation for a progressive wave. Principle of superposition of waves, reflection of waves. Standing waves in strings and organ pipes, fundamental mode, and harmonics. Beats.

UNIT 11: ELECTROSTATICS

Electric charges: Conservation of charge. Coulomb's law forces between two point charges, forces between multiple charges: superposition principle and continuous charge distribution.

Electric field: Electric field due to a point charge, Electric field lines. Electric dipole, Electric field due to a dipole. Torque on a dipole in a uniform electric field.

Electric flux. Gauss's law and its applications to find field due to infinitely long uniformly charged straight wire uniformly charged infinite plane sheet, and uniformly charged thin spherical shell. Electric potential and its calculation for a point charge, electric dipole and system of charges; potential difference, Equipotential surfaces, Electrical potential energy of a system of two point charges and of electric dipole in an electrostatic field.

Conductors and insulators. Dielectrics and electric polarization, capacitors and capacitances, the combination of capacitors in series and parallel, and capacitance of a parallel plate capacitor with and without dielectric medium between the plates. Energy stored in a capacitor.

UNIT 12: CURRENT ELECTRICITY

Electric current. Drift velocity, mobility, and their relation with electric current. Ohm's law. Electrical resistance. V-l characteristics of Ohmic and non-ohmic conductors. Electrical energy and power. Electrical resistivity and conductivity. Series and parallel combinations of resistors; Temperature dependence of resistance.

Internal resistance, potential difference, and emf of a cell, a combination of cells in series and parallel. Kirchhoff’s laws and their applications. Wheatstone bridge. Metre Bridge.

UNIT 13: MAGNETIC EFFECTS OF CURRENT AND MAGNETISM

Biot - Savart law and its application to the current carrying circular loop. Ampere's law and its applications to infinitely long current carrying straight wire and solenoid. Force on a moving charge in uniform magnetic and electric fields.

Force on a current-carrying conductor in a uniform magnetic field. The force between two parallel currents carrying conductors-definition of ampere. Torque experienced by a current loop in a uniform magnetic field: Moving coil galvanometer, its sensitivity, and conversion to ammeter and voltmeter.

Current loop as a magnetic dipole and its magnetic dipole moment. Bar magnet as an equivalent solenoid, magnetic field lines;

Magnetic field due to a magnetic dipole (bar magnet) along its axis and perpendicular to its axis. Torque on a magnetic dipole in a uniform magnetic field. Para-, dia- and ferromagnetic substances with examples, the effect of temperature on magnetic properties.

UNIT 14: ELECTROMAGNETIC INDUCTION AND ALTERNATING CURRENTS

Electromagnetic induction: Faraday's law. Induced emf and current: Lenz’s Law, Eddy currents. Self and mutual inductance. Alternating currents, peak and RMS value of alternating current/ voltage: reactance and impedance: LCR series circuit, resonance: power in AC circuits, wattless current. AC generator and transformer.

UNIT 15: ELECTROMAGNETIC WAVES

Displacement current. Electromagnetic waves and their characteristics, Transverse nature of electromagnetic waves, Electromagnetic spectrum (radio waves, microwaves, infrared, visible, ultraviolet. X-rays. Gamma rays), Applications of e.m. waves.

UNIT 16: OPTICS

Reflection of light, spherical mirrors, mirror formula. Refraction of light at plane and spherical surfaces, thin lens formula, and lens maker formula. Total internal reflection and its applications. Magnification. Power of a Lens. Combination of thin lenses in contact. Refraction of light through a prism. Microscope and Astronomical Telescope (reflecting and refracting ) and their magnifying powers.

Wave optics: wavefront and Huygens' principle. Laws of reflection and refraction using Huygens principle. Interference, Young's double-slit experiment, and expression for fringe width, coherent sources, and sustained interference of light. Diffraction due to a single slit, width of central maximum. Polarization, plane-polarized light: Brewster's law, uses of plane-polarized light and Polaroid.

UNIT 17: DUAL NATURE OF MATTER AND RADIATION

Dual nature of radiation. Photoelectric effect. Hertz and Lenard's observations; Einstein's photoelectric equation: particle nature of light. Matter waves-wave nature of particle, de Broglie relation.

UNIT 18: ATOMS AND NUCLEI

Alpha-particle scattering experiment; Rutherford's model of atom; Bohr model, energy levels, hydrogen spectrum. Composition and size of nucleus, atomic masses, Mass-energy relation, mass defect; binding energy per nucleon and its variation with mass number, nuclear fission,and fusion.

UNIT 19: ELECTRONIC DEVICES

Semiconductors; semiconductor diode: I-V characteristics in forward and reverse bias; diode as a rectifier; I-V characteristics of LED. the photodiode, solar cell, and Zener diode; Zener diode as a voltage regulator. Logic gates (OR. AND. NOT. NAND and NOR).

UNIT 20: EXPERIMENTAL SKILLS

Familiarity with the basic approach and observations of the experiments and activities:

  1. Vernier calipers -its use to measure the internal and external diameter and depth of a vessel.

  2. Screw gauge-its use to determine the thickness/ diameter of thin sheet/wire.

  3. Simple Pendulum-dissipation of energy by plotting a graph between the square of amplitudeand time.

  4. Metre Scale - the mass of a given object by the principle of moments.

  5. Young's modulus of elasticity of the material of a metallic wire.

  6. Surf ace tension of water by capillary rise and effect of detergents,

  7. Co-efficient of Viscosity of a given viscous liquid by measuring the terminal velocity of agiven spherical body,

  8. Speed of sound in air at room temperature using a resonance tube,

  9. Specific heat capacity of a given (i) solid and (ii) liquid by method of mixtures.

  10. The resistivity of the material of a given wire using a metre bridge.

  11. The resistance of a given wire using Ohm's law.

  12. Resistance and figure of merit of a galvanometer by half deflection method.

  13. The focal length of;

    1. Convex mirror

    2. Concave mirror, and

    3. Convex lens, using the parallax method.

  14. The plot of the angle of deviation vs angle of incidence for a triangular prism.

  15. The refractive index of a glass slab using a travelling microscope.

  16. Characteristic curves of a p-n junction diode in forward and reverse bias.

  17. Characteristic curves of a Zener diode and finding reverse break down voltage.

  18. Identification of Diode. LED,. Resistor. A capacitor from a mixed collection of such items.

CHEMISTRY

PHYSICAL CHEMISTRY

UNIT I: SOME BASIC CONCEPTS IN CHEMISTRY

Matter and its nature, Dalton's atomic theory: Concept of atom, molecule, element, and compound: Laws of chemical combination; Atomic and molecular masses, mole concept, molar mass, percentage composition, empirical and molecular formulae: Chemical equations and stoichiometry.

UNIT 2: ATOMIC STRUCTURE

Nature of electromagnetic radiation, photoelectric effect; Spectrum of the hydrogen atom. Bohr model of a hydrogen atom -its postulates, derivation of the relations for the energy of the electron and radii of the different orbits, limitations of Bohr's model; Dual nature of matter, de Broglie's relationship. Heisenberg uncertainty principle. Elementary ideas of quantum mechanics, quantum mechanics, the quantum mechanical model of the atom, and its important features. Concept of atomic orbitals as one-electron wave functions: Variation of and 2 with r for 1s and 2s orbitals; various

quantum numbers (principal, angular momentum, and magnetic quantum numbers) and their significance; shapes of s, p, and d - orbitals, electron spin, and spin quantum number: Rules for filling electrons in orbitals – Aufbau principle. Pauli's exclusion principle and Hund's rule, electronic configuration of elements, and extra stability of half-filled and completely filled orbitals.

UNIT 3: CHEMICAL BONDING AND MOLECULAR STRUCTURE

Kossel-Lewis approach to chemical bond formation, the concept of ionic and covalent bonds.

Ionic Bonding: Formation of ionic bonds, factors affecting the formation of ionic bonds; calculation of lattice enthalpy.

Covalent Bonding: Concept of electronegativity. Fajan’s rule, dipole moment: Valence Shell Electron Pair Repulsion (VSEPR ) theory and shapes of simple molecules.

Quantum mechanical approach to covalent bonding: Valence bond theory - its important features, the concept of hybridization involving s, p, and d orbitals; Resonance.

Molecular Orbital Theory - Its important features. LCAOs, types of molecular orbitals (bonding, antibonding), sigma and pi-bonds, molecular orbital electronic configurations of homonuclear diatomic molecules, the concept of bond order, bond length, and bond energy.

Elementary idea of metallic bonding. Hydrogen bonding and its applications.

UNIT 4: CHEMICAL THERMODYNAMICS

Fundamentals of thermodynamics: System and surroundings, extensive and intensive properties, state functions, Entropy, types of processes.

The first law of thermodynamics - Concept of work, heat internal energy and enthalpy, heat capacity, molar heat capacity; Hess’s law of constant heat summation; Enthalpies of bond dissociation, combustion, formation, atomization, sublimation, phase transition, hydration, ionization, and solution.

The second law of thermodynamics - Spontaneity of processes; S of the universe and Gof the system as criteria for spontaneity. G (Standard Gibbs energy change) and equilibrium constant.

UNIT 5: SOLUTIONS

Different methods for expressing the concentration of solution - molality, molarity, mole fraction, percentage (by volume and mass both), the vapour pressure of solutions and Raoult's Law - Ideal and non-ideal solutions, vapour pressure -composition, plots for ideal and non- ideal solutions; Colligative properties of dilute solutions - a relative lowering of vapour

pressure, depression of freezing point, the elevation of boiling point and osmotic pressure; Determination of molecular mass using colligative properties; Abnormal value of molar mass, van’t Hoff factor and its significance.

UNIT 6: EQUILIBRIUM

Meaning of equilibrium is the concept of dynamic equilibrium.

Equilibria involving physical processes: Solid-liquid, liquid-gas - gas and solid-gas equilibria, Henry's law. General characteristics of equilibrium involving physical processes.

Equilibrium involving chemical processes: Law of chemical equilibrium, equilibrium constants (Kp and Kc) and their significance, the significance of G and G in chemical equilibrium, factors affecting equilibrium concentration, pressure, temperature, the effect of catalyst; Le Chatelier’s principle.

Ionic equilibrium: Weak and strong electrolytes, ionization of electrolytes, various conceptsof acids and bases (Arrhenius. Bronsted - Lowry and Lewis) and their ionization, acid-base equilibria (including multistage ionization) and ionization constants, ionization of water. pH scale, common ion effect, hydrolysis of salts and pH of their solutions, the solubility of sparingly soluble salts and solubility products, and buffer solutions.

UNIT 7: REDOX REACTIONS AND ELECTROCHEMISTRY

Electronic concepts of oxidation and reduction, redox reactions, oxidation number, rules for assigning oxidation number, and balancing of redox reactions.

Electrolytic and metallic conduction, conductance in electrolytic solutions, molar conductivities and their variation with concentration: Kohlrausch’s law and its applications.

Electrochemical cells - Electrolytic and Galvanic cells, different types of electrodes, electrode potentials including standard electrode potential, half-cell and cell reactions, emf of a Galvanic cell and its measurement: Nernst equation and its applications; Relationship between cell potential and Gibbs' energy change: Dry cell and lead accumulator; Fuel cells.

UNIT 8: CHEMICAL KINETICS

Rate of a chemical reaction, factors affecting the rate of reactions: concentration, temperature, pressure, and catalyst; elementary and complex reactions, order and molecularity of reactions, rate law, rate constant and its units, differential and integral forms of zero and first-order reactions, their characteristics and half-lives, the effect of temperature on the rate of reactions, Arrhenius theory, activation energy and its calculation, collision theory of bimolecular gaseous reactions (no derivation).

INORGANIC CHEMISTRY

UNIT 9: CLASSIFICATION OF ELEMENTS AND PERIODICITY IN PROPERTIES

Modem periodic law and present form of the periodic table, s, p. d and f block elements, periodic trends in properties of elements atomic and ionic radii, ionization enthalpy, electron gain enthalpy, valence, oxidation states, and chemical reactivity.

UNIT 10: P- BLOCK ELEMENTS

Group -13 to Group 18 Elements

General Introduction: Electronic configuration and general trends in physical and chemical properties of elements across the periods and down the groups; unique behaviour of the first element in each group.

UNIT 11: d - and f- BLOCK ELEMENTS

Transition Elements: General introduction, electronic configuration, occurrence and characteristics, general trends in properties

of the first-row transition elements - physical properties, ionization enthalpy, oxidation states, atomic radii, colour, catalytic behaviour, magnetic properties, complex formation, interstitial compounds, alloy formation; Preparation, properties, and uses of K2Cr2O7, and KMnO4.

Inner Transition Elements

Lanthanoids - Electronic configuration, oxidation states, and lanthanoid contraction.

Actinoids - Electronic configuration and oxidation states.

UNIT 12: CO-ORDINATION COMPOUNDS

Introduction to coordination compounds. Werner's theory; ligands, coordination number, denticity. chelation; IUPAC nomenclature of mononuclear co-ordination compounds, isomerism; Bonding-Valence bond approach and basic ideas of Crystal field theory, colour and magnetic properties; Importance of co-ordination compounds (in qualitative analysis, extraction of metals and in biological systems).

ORGANIC CHEMISTRY

UNIT 13: PURIFICATION AND CHARACTERISATION OF ORGANIC COMPOUNDS

Purification - Crystallization, sublimation, distillation, differential extraction, and chromatography - principles and their applications.

Qualitative analysis - Detection of nitrogen, sulphur, phosphorus, and halogens.

Quantitative analysis (basic principles only) - Estimation of carbon, hydrogen, nitrogen, halogens, sulphur, and phosphorus. Calculations of empirical formulae and molecular formulae: Numerical problems in organic quantitative analysis,

UNIT 14:SOME BASIC PRINCIPLES OF ORGANIC CHEMISTRY

Tetravalency of carbon: Shapes of simple molecules - hybridization (s and p): Classification of organic compounds based on functional groups: and those containing halogens, oxygen, nitrogen, and sulphur; Homologous series: Isomerism -structural and stereoisomerism.

Nomenclature (Trivial and IUPAC)

Covalent bond fission - Homolytic and heterolytic: free radicals, carbocations, and carbanions; stability of carbocations and free radicals, electrophiles, and nucleophiles.

Electronic displacement in a covalent bond

- Inductive effect, electromeric effect, resonance, and hyperconjugation.

Common types of organic reactions- Substitution, addition, elimination, and rearrangement.

UNITS 15: HYDROCARBONS

Classification, isomerism, IUPAC nomenclature, general methods of preparation, properties, and reactions.

Alkanes - Conformations: Sawhorse and Newman projections (of ethane): Mechanism of halogenation of alkanes.

Alkenes - Geometrical isomerism: Mechanism of electrophilic addition: addition of hydrogen, halogens, water, hydrogen halides (Markownikoffs and peroxide effect): Ozonolysis and polymerization.

Alkynes - Acidic character: Addition of hydrogen, halogens, water, and hydrogen halides: Polymerization.

Aromatic hydrocarbons - Nomenclature, benzene - structure and aromaticity: Mechanism of electrophilic substitution: halogenation, nitration.

Friedel-Craft's alkylation and acylation, directive influence of the functional group in mono- substituted benzene.

UNIT 16: ORGANIC COMPOUNDS CONTAINING HALOGENS

General methods of preparation, properties, and reactions; Nature of C-X bond; Mechanismsof substitution reactions. Uses; Environmental effects of chloroform, iodoform freons, and DDT.

UNIT 17: ORGANIC COMPOUNDS CONTAINING OXYGEN

General methods of preparation, properties, reactions, and uses.

ALCOHOLS, PHENOLS, AND ETHERS

Alcohols: Identification of primary, secondary, and tertiary alcohols: mechanism of dehydration.

Phenols: Acidic nature, electrophilic substitution reactions: halogenation. nitration and sulphonation. Reimer - Tiemann reaction.

Ethers: Structure.

Aldehyde and Ketones: Nature of carbonyl group; Nucleophilic addition to >C=O group, relative reactivities of aldehydes and ketones; Important reactions such as - Nucleophilic addition reactions (addition of HCN. NH3, and its derivatives), Grignard reagent; oxidation: reduction (Wolf Kishner and Clemmensen); the acidity of -hydrogen. aldol condensation, Cannizzaro reaction. Haloform reaction, Chemical tests to distinguish between aldehydes and Ketones.

Carboxylic Acids

Acidic strength and factors affecting it,

UNIT 18: ORGANIC COMPOUNDS CONTAINING NITROGEN

General methods of preparation. Properties, reactions, and uses.

Amines: Nomenclature, classification structure, basic character, and identification of primary, secondary, and tertiary amines and their basic character.

Diazonium Salts: Importance in synthetic organic chemistry.

UNIT 19: BIOMOLECULES

General introduction and importance of biomolecules.

CARBOHYDRATES - Classification; aldoses and ketoses: monosaccharides (glucose and fructose) and constituent monosaccharides of oligosaccharides (sucrose, lactose, and maltose).

PROTEINS - Elementary Idea of -amino acids, peptide bond, polypeptides. Proteins: primary, secondary, tertiary, and quaternary structure (qualitative idea only), denaturation of proteins, enzymes.

VITAMINS – Classification and functions.

NUCLEIC ACIDS – Chemical constitution of DNA and RNA.Biological functions of nucleic acids.

Hormones (General introduction)

UNIT 20: PRINCIPLES RELATED TO PRACTICAL CHEMISTRY

Detection of extra elements (Nitrogen, Sulphur, halogens) in organic compounds; Detection of the following functional groups; hydroxyl (alcoholic and phenolic), carbonyl (aldehyde and ketones) carboxyl, and amino groups in organic compounds.

  • The chemistry involved in the preparation of the following: Inorganic compounds; Mohr’s salt, potash alum.

    Organic compounds: Acetanilide, p-nitro acetanilide, aniline yellow, iodoform.

    The chemistry involved in the titrimetric exercises – Acids, bases, and the use of indicators,oxalic-acid vs

  • KMnO4, Mohr’s salt vs KMnO4

  • Chemical principles involved in the qualitative salt analysis: Cations – Pb2+, Cu2+, Al3+, Fe3+,

Zn2+, Ni2+, Ca2+, Ba2+, Mg2+, NH4+

Anions- CO2−, S2-,SO2−, NO3-, NO2-, Cl-, Br-, I- ( Insoluble salts excluded).

3 4

Chemical principles involved in the following:

  1. Enthalpy of solution of CuSO4

  2. Enthalpy of neutralization of strong acid and strong base.

  3. Prearation of lyophilic and lyophobic sols