JEE Advanced 2020 Free Model Papers with Solutions
About Exam
JEE Advanced is a national level entrance exam held once a year by the seven zonal IITs with guidance from the Joint Admission Board (JAB). JEE Advanced is a gateway for candidates seeking admission in bachelor’s programmes, integrated master’s programmes as well as dual degree programmes offered at 23 IITs including Indian School of Mines (ISM)
JEE Advanced which is the second phase after JEE Main exam is an important test for engineering aspirants. This entrance exam is a computer-based exam and is usually conducted by seven different Indian IITs (Indian Institute of Technology) on a rotational basis. The online exam consists of two sessions each for Paper 1 and 2 that is carried out in two stages on the same day. It is mandatory for all the students to appear for both the papers in order to be eligible for the merit list. Candidates have to perform well in the exam as they are granted admissions to various undergraduate courses as well as masters and dual degree programs offered by IITs based on marks scored or ranks in JEE Advanced.
Once aspirants secure the desired score in the JEE Main they will be eligible to appear for JEE Advanced. The main purpose of JEE Advanced is to provide admissions for B.E. or B.Tech. courses and includes 23 IIT and 9 Primer institutes.
- 4 year Bachelors - BTech, BS
- 5 year BArch
- 5 year Dual Degree - BTech, MTech, BS, MS
- 5 year Integrated Masters - MTech, MSc, Dual Degree
Exam Pattern
Detailed information about the examination will be present in JEE Advanced exam pattern . Using the exam pattern, the candidates can check how the examination will be conducted, the type of questions which will be asked, marking scheme and more. One important thing to note about JEE Advanced exam pattern is that it is not fixed i.e., it is open to change every year.
The general details about the JEE Advanced exam pattern are given below:
- Examination Mode – Computer Based Test
- Number of Shits- 2 (9 am to 12 pm & 2 pm to 5 pm)
- Duration of Exam - 3 hours
- Mode of Language – English and Hindi
- Paper in JEE Advanced – Paper I and Paper II. Each paper will be each divided into three parts – Physics, Chemistry and Mathematics.
- Sections – The three parts will each be divided into three sections – Section 1, Section 2 and Section 3.
- Nature of Questions – Multiple Choice Questions, Numerical Questions, Matching List Questions
- Marking Scheme – According to the particular question, the allotted full, partial, zero and negative marks will be given.
Types Of Questions Asked In JEE Advanced
- Section 1 comprises of multiple correct option type questions
- Section 2 comprises of Numerical Value type questions
- Section 3 comprises of Single Correct multiple choice questions (Paper 1) and Matching list type questions (Paper 2)
The exam duration for each paper is 3 hours, the total marks allocated is not constant and it is conducted in English and Hindi. Also, it’s mandatory for students to attempt both the papers. Knowing the examination pattern is crucial for candidates as it reveals the structure of the question paper like the types of questions asked and its marking scheme. However, the most prominent feature of JEE Advanced is its unpredictable paper pattern.
Highlights
- The national-level exam is being conducted in computer-based test (CBT) mode.
- JEE Advanced has two compulsory papers of 3 hours duration each – Paper I and II.
- Questions in each paper is asked from Physics, Chemistry and Mathematics. Candidates need to answer questions from each subject (or section).
- Question types are multiple choice (objective), numerical and list match sets.
- Some questions may have multiple correct options, in which case the candidate needs to get all the options rights to get full marks. If the candidate gets only one or few of the options right, then partial marks will be awarded. If no attempt is made, zero marks will be awarded.
- There are negative marking for some questions. Detailed instructions about the marking scheme will be mentioned in the question paper.
- The exam will be available in English and Hindi languages. But please note that only one language can be chosen. For example, if the candidate selects English at the begging of the test, then it cannot be changed midway to Hindi.
- Total marks is not a constant – An interesting aspect of JEE Advanced that has been observed in the last couple of years is that though the total number of questions remain the same (54 questions for each paper), the total marks can fluctuate.
Eligibility
JEE Advanced 2019 Eligibility Criteria
JEE Advanced 2019 eligibility criteria are the list of requirements and conditions that the candidates have to satisfy to participate in the examination, Before filling the application form, the candidates were advised to check the eligibility criteria of JEE Advanced 2019. Ineligible candidates would be disqualified from the examination process. JEE Advanced eligibility criteria have been listed out below:
- Age Limit – General category candidates should have been born on or after October 1, 1994. Relaxation of 5 years is provided to the candidates belonging to SC/ST/PwD category.
- Qualifying Examination – Should have passed 10+2th standard qualifying (or equivalent) examination in 2018. Those who are appearing for the exam in 2019 will also be eligible for JEE Advanced.
- JEE Main – The candidates should have qualified JEE Main examination. The cutoff for admissions into IITs should also be met by the candidates
- Number of Attempts – For JEE Advanced, the candidates would be able to attempt the examination two times in two consecutive years.
- JEE Admissions – The candidates should have never taken admission in an IIT irrespective of whether they continued the programme or not or just accepted the seat by reporting at the center. The candidates who have earlier joined any IIT but had subsequently cancelled their admission will also not be termed eligible for JEE Advanced.
Preparation Tips
It is important to realize that having a good preparation for JEE is crucial for candidates. JEE preparation requires a smart, systematic and continuous effort
- The first thing that students should do is have a proper timetable. Having a dedicated study time and follow it with religiously. Allocate proper time for each subject so that the entire syllabus is covered and revisions can effectively be done before the exams.
- Another important tip that students can follow is to know the in and out of the syllabus. Being thorough with the syllabus will help students to get an insight into the important topics and focus on spending more time studying these topics.
- It is very crucial for students to get a clear understanding of all the fundamentals as JEE exams are designed specifically to test the student’s knowledge about certain topics and how they approach specific problems as well find solutions.
- Students should know that using too many reference books or inappropriate study material can have a negative impact on their preparation. Thus, they should limit their resources and instead go for the right and helpful books. Students can start their preparation by going through their respective Class XII textbooks and they can also refer to NCERT books as these hold a greater significance. Here students should also remember to study topic wise and not just subject wise.
- In order to prepare effectively for JEE , students should engage themselves in solving past question papers or sample papers as well as attempt mock tests. This will not only help candidates be aware of their preparation level but figure out which areas they need to improve and manage time properly. This will also help raise the confidence level of the aspirants.
- Practice as many model papers or mock tests as possible and assess your weak areas , iexamonline provides free online JEE Advanced Model Practice tests for unlimited practice
- Practice as many as possible previous year Question papers, which helps to understand exam pattern and complexity over years , iexamonline provides a great source of platform to practice previous year question papers online you can check at JEE Advance Previous year Question Papers for online practice
- iexamonline provides a wonderful physics notes based on CBSE Syllabus for preparing various competitive exams please study for improving scores and understanding all physic topics for any exam
JEE Advanced Exam Syllabus
Physics Syllabus - JEE Advanced
- General
- Units and dimensions, dimensional analysis; least count, significant figures; Methods of measurement and error analysis for physical quantities pertaining to the following experiments: Experiments based on using Vernier calipers and screw gauge (micrometer), Determination of g using simple pendulum, Young’s modulus by Searle’s method, Specific heat of a liquid using calorimeter, focal length of a concave mirror and a convex lens using u-v method, Speed of sound using resonance column, Verification of Ohm’s law using voltmeter and ammeter, and specific resistance of the material of a wire using meter bridge and post office box
- Mechanics
- Kinematics in one and two dimensions (Cartesian coordinates only), projectiles; Uniform Circular motion; Relative velocity.
- Newton’s laws of motion; Inertial and uniformly accelerated frames of reference; Static and dynamic friction; Kinetic and potential energy; Work and power; Conservation of linear momentum and mechanical energy.
- Systems of particles; Centre of mass and its motion; Impulse; Elastic and inelastic collisions.
- Law of gravitation; Gravitational potential and field; Acceleration due to gravity; Motion of planets and satellites in circular orbits; Escape velocity.
- Rigid body, moment of inertia, parallel and perpendicular axes theorems, moment of inertia of uniform bodies with simple geometrical shapes; Angular momentum; Torque; Conservation of angular momentum; Dynamics of rigid bodies with fixed axis of rotation; Rolling without slipping of rings, cylinders and spheres; Equilibrium of rigid bodies; Collision of point masses with rigid bodies.
- Linear and angular simple harmonic motions.
- Hooke’s law, Young’s modulus.
- Pressure in a fluid; Pascal’s law; Buoyancy; Surface energy and surface tension, capillary rise; Viscosity (Poiseuille’s equation excluded), Stoke’s law; Terminal velocity, Streamline flow, equation of continuity, Bernoulli’s theorem and its applications.
- Wave motion (plane waves only), longitudinal and transverse waves, superposition of waves; Progressive and stationary waves; Vibration of strings and air columns; Resonance; Beats; Speed of sound in gases; Doppler effect (in sound).
- Thermal Physics
- Thermal expansion of solids, liquids and gases; Calorimetry, latent heat; Heat conduction in one dimension; Elementary concepts of convection and radiation; Newton’s law of cooling; Ideal gas laws; Specific heats (Cv and Cp for monoatomic and diatomic gases); Isothermal and adiabatic processes, bulk modulus of gases; Equivalence of heat and work; First law of thermodynamics and its applications (only for ideal gases); Blackbody radiation: absorptive and emissive powers; Kirchhoff’s law; Wien’s displacement law, Stefan’s law.
- Electricity and Magnetism
- Coulomb’s law; Electric field and potential; Electrical potential energy of a system of point charges and of electrical dipoles in a uniform electrostatic field; Electric field lines; Flux of electric field; Gauss’s law and its application in simple cases, such as, to find field due to infinitely long straight wire, uniformly charged infinite plane sheet and uniformly charged thin spherical shell.
- Capacitance; Parallel plate capacitor with and without dielectrics; Capacitors in series and parallel; Energy stored in a capacitor.
- Electric current; Ohm’s law; Series and parallel arrangements of resistances and cells; Kirchhoff’s laws and simple applications; Heating effect of current.
- Biot–Savart’s law and Ampere’s law; Magnetic field near a current-carrying straight wire, along the axis of a circular coil and inside a long straight solenoid; Force on a moving charge and on a current-carrying wire in a uniform magnetic field.
- Magnetic moment of a current loop; Effect of a uniform magnetic field on a current loop; Moving coil galvanometer, voltmeter, ammeter and their conversions.
- Electromagnetic induction: Faraday’s law, Lenz’s law; Self and mutual inductance; RC, LR and LC circuits with d.c. and a.c. sources.
- Optics
- Rectilinear propagation of light; Reflection and refraction at plane and spherical surfaces; Total internal reflection; Deviation and dispersion of light by a prism; Thin lenses; Combinations of mirrors and thin lenses; Magnification
- Wave nature of light: Huygens’ principle, interference limited to Young’s double-slit experiment
- Modern Physics
- Atomic nucleus; α, β and γ radiations; Law of radioactive decay; Decay constant; Half-life and mean life; Binding energy and its calculation; Fission and fusion processes; Energy calculation in these processes
- Photoelectric effect; Bohr’s theory of hydrogen-like atoms; Characteristic and continuous X-rays, Moseley’s law; de Broglie wavelength of matter waves
Chemistry Syllabus - JEE Advanced
- 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 ΔG and ΔG0 in chemical equilibrium; Solubility product, common ion effect, pH and buffer solutions; Acids and bases (Bronsted and Lewis concepts); Hydrolysis of salts.
- Electrochemistry: Electrochemical cells and cell reactions; Standard electrode potentials; Nernst equation and its relation to ΔG; Electrochemical series, emf of galvanic cells; Faraday’s laws of electrolysis; Electrolytic conductance, specific, equivalent and molar conductivity, Kohlrausch’s law; Concentration cells.
- Chemical kinetics: Rates of chemical reactions; Order of reactions; Rate constant; First order reactions; Temperature dependence of rate constant (Arrhenius equation).
- Solid state: Classification of solids, crystalline state, seven crystal systems (cell parameters a, b, c, α, β, γ), close packed structure of solids (cubic), packing in fcc, bcc and hcp lattices; Nearest neighbours, ionic radii, simple ionic compounds, point defects.
- Solutions: Raoult’s law; Molecular weight determination from lowering of vapour pressure, elevation of boiling point and depression of freezing point.
- Surface chemistry: 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 α, β and γ rays; Kinetics of radioactive decay (decay series excluded), carbon dating; Stability of nuclei with respect to proton-neutron ratio; Brief discussion on fission and fusion reactions.
- 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; σ and π-bonds; Shapes of simple organic molecules; Structural and geometrical isomerism; Optical isomerism of compounds containing up to two asymmetric centres, (R,S and E,Z nomenclature excluded); IUPAC nomenclature of simple organic compounds (only hydrocarbons, mono-functional and bi-functional compounds); Conformations of ethane and butane (Newman projections); Resonance and hyperconjugation; Keto-enoltautomerism; Determination of empirical and molecular formulae of simple compounds (only combustion method); Hydrogen bonds: definition and their effects on physical properties of alcohols and carboxylic acids; Inductive and resonance effects on acidity and basicity of organic acids and bases; Polarity and inductive effects in alkyl halides; Reactive intermediates produced during homolytic and heterolytic bond cleavage; Formation, structure and stability of carbocations, carbanions and free radicals.
- Preparation, properties and reactions of alkanes: Homologous series, physical properties of alkanes (melting points, boiling points and density); Combustion and halogenation of alkanes; Preparation of alkanes by Wurtz reaction and decarboxylation reactions.
- Preparation, properties and reactions of alkenes and alkynes: Physical properties of alkenes and alkynes (boiling points, density and dipole moments); Acidity of alkynes; Acid catalysed hydration of alkenes and alkynes (excluding the stereochemistry of addition and elimination); Reactions of alkenes with KMnO4 and ozone; Reduction of alkenes and alkynes; Preparation of alkenes and alkynes by elimination reactions; Electrophilic addition reactions of alkenes with X2, HX, HOX and H2O (X=halogen); Addition reactions of alkynes; Metal acetylides.
- Reactions of benzene: 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 Syllabus - JEE Advanced
- 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.