UNIT 1: Units and Measurements
Units of measurements, System of units, SI Units, fundamental and derived units, least count, ignificant 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, 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, 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, impulse, 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-energy theorem, power.
The potential energy of a spring, conservation of mechanical energy, conservative and non- conservative forces, motion in a vertical circle. Elastic and inelastic collisions in one and two dimensions.
UNIT 5: Rotational Motion
Centre of mass of a two-particle system, centre of 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, Stoke’s 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 and the concept of temperature, zeroth law of thermodynamics, 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 capacitance, 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, I-V 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 electromagnetic 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
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, 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 amplitude and 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. Surface 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 a given 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
(i) Convex mirror
(ii) Concave mirror and
(iii)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 breakdown voltage.
18. Identification of diode, LED, resistor, a capacitor from a mixed collection of such items.
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Wednesday, November 19, 2025
Syllabus for JEE Main Paper 1 BE/BTech Physics
Syllabus JEE Main Paper 1/2 BE/B.Tech/B.Arch Mathematics
UNIT 1: SETS, RELATIONS AND FUNCTIONS:
Sets and their representation; Union, intersection and complement of sets and their algebraic properties; Power set; Relations, 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 numbers, modulus and argument (or amplitude) of a complex number, Quadratic equations in real and complex number systems and their solutions; Relations between roots and coefficients, 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 inverse of a square matrix; 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, permutations and combinations; 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; polynomial, rational, trigonometric, logarithmic and exponential functions; inverse functions. 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 upto 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 integrals involving algebraic, trigonometric, exponential and logarithmic functions. Integration by substitution, by parts and by partial fractions. 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 by simple curves in standard forms.
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 equation of the type
UNIT 10: CO-ORDINATE GEOMETRY :
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 centre, 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, direction ratios and direction cosines and the angle between two intersecting lines. Equation of a line; Skew lines, the shortest distance between them and its equation.
UNIT 12: VECTOR ALGEBRA :
Vectors and scalars, the addition of vectors, components of a vector in two dimensions and three-dimensional spaces, scalar and vector products.
UNIT 13: STATISTICS AND PROBABILITY :
Measures of dispersion; 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 variable.
UNIT 14: TRIGONOMETRY :
Trigonometrical identities and trigonometrical functions, inverse trigonometrical functions their properties.
Eligibility Criteria JEE Main 2026
Qualification and Age Limit
For appearing in the JEE (Main) - 2026, there is no age limit for the candidates. The candidates who have passed the class XII / equivalent Examination in 2024, 2025 or appearing in 2026 irrespective of their age can appear in JEE (Main) - 2026 Examination. However, the candidates may be required to fulfill the age criteria of the Institute(s) to which they are desirous of taking admission.
List of Qualifying Examinations
i. The final Examination of the 10+2 system, conducted by any recognized Central/ State Board, such as the Central Board of Secondary Education, New Delhi; Council for the Indian School Certificate Examinations, New Delhi; etc.
ii. Intermediate or two-year Pre-University examination conducted by a recognized Board/University.
iii. Final examination of the two-year course of the Joint Services Wing of the National Defence Academy.
iv. Senior Secondary School Examination conducted by the National Institute of Open Schooling with a minimum of five subjects.
v. Any Public School/ Board/ University examination in India or any foreign country is recognized as equivalent to the 10+2 system by the Association of Indian Universities (AIU).
vi. Higher Secondary Certificate Vocational Examination.
vii. A diploma recognized by AICTE or a State board of technical education of at least 3 years duration.
viii. General Certificate Education (GCE) examination (London/Cambridge/Sri Lanka) at the
Advanced (A) level.
ix. High School Certificate Examination of the Cambridge University or International
Baccalaureate Diploma of the International Baccalaureate Office, Geneva.
x. Candidates who have completed the Class XII (or equivalent) examination outside India or
from a Board not specified above should produce a certificate from the Association of Indian
Universities (AIU) to the effect that the examination they have passed is equivalent to the Class XII Examination.
xi. In case the Class XII Examination is not a public examination, the candidate must have passed
at least one public (Board or Pre-University) examination earlier.
xii. Board of Open Schooling and Skill Education (BOSSE), Sikkim.
- Candidates those who have passed the Class XII / Equivalent Examination in 2024, 2025 or those who are appearing in the Class XII / equivalent Examination in 2026, are eligible to appear in JEE (Main) - 2026.
- Candidates who passed the Class XII / equivalent Examination in 2023 or before are not eligible to appear in JEE (Main) - 2026. Passing year for class XII (or Equivalent Examination) means the year, in which the result of the candidate has been declared as ‘pass’ for the first time in that particular Examination (Class XII/ Equivalent Examination).
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JEE Main 2026 Marking Scheme
Multiple Choice Questions
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 (without selecting any option) 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.
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 (without filling any Numerical value): 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 Candidates who appeared for that particular shift.
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.
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JEE Main 2026 Examination Pattern
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. There will be negative marking for incorrect answer in Section A and Section B. For each question in Section B, a candidate 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.
Paper 1 BE/BTech
Subject: Mathematics
No. of Questions Section A- 20
No. of Questions Section B- 5
Maximum Marks 100
Subject: Mathematics
No. of Questions Section A- 20
No. of Questions Section B- 5
Maximum Marks 100
Subject: Mathematics
No. of Questions Section A- 20
No. of Questions Section B- 5
Maximum Marks 100
Total No. of Questions- 75
Paper 2A (B. Arch)
Mathematics (Part-I) and Aptitude Test (Part-II) in Computer Based Test (CBT) mode and Drawing Test (Part-III) in Pen and Paper Based (offline) mode, to be attempted on drawing sheet of A4 size.
Mathematics
Section A 20 Questions; Section B 5 Questions
Maximum Marks 100
Aptitude Test 50 Questions 200 Marks
Drawing Test 2 Questions 100 Marks
Total Number of Questions 77
Maximum Marks 400
Part –I: In Section A, 20 questions will be MCQs and in Section B, 05 (five) questions will have
answers to be filled as a numerical value. There will be negative marking for both Section A
and Section B (except Drawing Test). For each question in Section B, a candidate 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. The answer should be rounded off to the nearest integer.
Paper 2B (B. Planning)
Part-I: Mathematics, Part-II: Aptitude Test, and Part-III: Planning- Based Questions in Computer-Based Test (CBT) mode.
Mathematics
Section A 20 Questions; Section B 5 Questions
Maximum Marks 100
Aptitude Test 50 Questions 200 Marks
Planning 25 Questions 100 Marks
Total Number of Questions 100
Maximum Marks 400
Part –I: In Section A, 20 questions will be MCQs and in Section B, 05 (five) questions will have answers to be filled as a numerical value. There will be negative marking for both Section A and Section B. For each question in Section B, 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. The answer should be rounded off to the nearest integer.
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Subject Combination JEE Main 2026 Examination
JEE Main 2026 Paper 1: B.E. / B.Tech. Computer Based Test (CBT)” mode
only
Subjects: 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.
JEE Main 2026 Paper 2A B.Arch
Part-I: Mathematics
Objective Type - Multiple Choice Questions (MCQs) and Questions for which
the answer is a numerical value
Part-II: Aptitude Test
Objective Type - Multiple Choice Questions (MCQs)
Computer Based Test (CBT) mode only
Part-III: Drawing Test
Questions to test drawing aptitude
“Pen and Paper Based” (offline) mode to be attempted on a Drawing sheet of A4 size.
JEE Main 2026 Paper 2B Planning
Part-I: Mathematics
Objective Type - Multiple Choice Questions (MCQs) and Questions for which the answer is a numerical value
Part-II: Aptitude Test
Objective Type - Multiple Choice Questions (MCQs)
Computer Based Test (CBT) mode only
Part-III: Planning Based Questions
Objective Type - Multiple Choice Questions (MCQs)
Computer Based Test (CBT) mode only
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