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JEE Physics Topic-wise Previous Year Questions with Solutions

Best JEE Previous Year Questions with Solutions for Chemistry and Mathematics - Download Free PDF

Solving JEE previous year questions topic-wise is one of the most targeted strategies for cracking both JEE Main and JEE Advanced. Students who skip this step often struggle because the JEE paper setters consistently revisit certain question patterns - for example, electrochemistry questions regularly feature Nernst equation calculations, and coordinate geometry problems frequently test the condition of tangency. This collection on EduRev covers every major topic in JEE Chemistry and JEE Mathematics, with separate sets for JEE Main (including the 2021-2024 window) and JEE Advanced (2018-2024). Each question comes with a detailed solution, helping you understand not just the answer but the reasoning process. Practising these JEE Main previous year questions PDFs chapter-by-chapter reveals which topics carry the highest weightage, allowing you to allocate revision time more efficiently. Available on EduRev for free access and PDF download.

JEE Previous Year Questions - Chemistry Topics

Some Basic Concepts of Chemistry

This topic covers mole concept, stoichiometry, empirical and molecular formulas, and limiting reagents. A common error in JEE is miscalculating the moles of a product when a limiting reagent is involved. Questions from this chapter appear regularly in JEE Main and test calculation speed and conceptual clarity on concentration terms like molality and normality.

Atomic Structure

Atomic structure questions in JEE test Bohr's model, quantum numbers, electronic configuration, and photoelectric effect calculations. A tricky area for students is determining the number of radial and angular nodes for a given orbital. JEE Advanced questions on this topic often require multi-step reasoning involving energy levels and de Broglie wavelength.

Chemical Bonding and Molecular Structure

This chapter covers VSEPR theory, hybridisation, molecular orbital theory, and dipole moments. JEE questions frequently ask students to predict bond angles or identify the odd-one-out based on hybridisation - a point where many students confuse sp² and sp³ species. Both JEE Main and JEE Advanced include questions on resonance structures and formal charge calculations.

Solutions

Solutions as a JEE topic includes Raoult's law, colligative properties, osmotic pressure, and van't Hoff factor. Students frequently lose marks by forgetting to apply the degree of dissociation when calculating osmotic pressure of electrolytes. JEE Advanced questions in this topic are particularly numerical and require careful unit handling.

Thermodynamics

Thermodynamics in JEE covers laws of thermodynamics, Hess's law, Gibbs free energy, and spontaneity conditions. A recurring JEE Main question type involves calculating ΔG from ΔH and ΔS at a given temperature. The sign of entropy change for processes involving gases is a commonly tested and frequently confused concept.

Chemical Equilibrium

This chapter tests equilibrium constants (Kp and Kc), Le Chatelier's principle, and degree of dissociation. JEE questions often involve calculating equilibrium concentrations after an initial disturbance. Students commonly make errors when converting between Kp and Kc by applying the wrong value of Δn (change in moles of gas).

Ionic Equilibrium

Ionic equilibrium covers pH calculations, buffer solutions, solubility product, and common ion effect. JEE frequently tests the Henderson-Hasselbalch equation and the conditions under which precipitation occurs. Students often struggle with distinguishing hydrolysis of salts of weak acids vs. weak bases when predicting the pH of a salt solution.

Redox Reactions

Redox reaction questions in JEE test balancing by oxidation number method and half-reaction method, identifying oxidising and reducing agents, and disproportionation reactions. JEE Advanced has featured questions where a single element acts both as oxidising and reducing agent, which is a concept students frequently overlook during revision.

Electrochemistry

Electrochemistry in JEE covers the Nernst equation, EMF calculations, Faraday's laws of electrolysis, and conductance. A very common JEE Main question type is computing the mass deposited at an electrode using Faraday's first law. JEE Advanced questions often link electrochemical cells to thermodynamic quantities like ΔG and equilibrium constants.

Chemical Kinetics

Chemical kinetics questions cover rate laws, integrated rate equations, half-life, and Arrhenius equation. JEE problems often require determining the overall order of a reaction from experimental concentration-rate data. A frequent student error is confusing the half-life formula for first-order reactions (independent of concentration) with that for second-order reactions.

Solid State

Solid state chemistry in JEE tests crystal systems, packing efficiency, unit cell calculations, and defects. Questions frequently ask for the number of atoms per unit cell in FCC or BCC structures. Students often lose marks on radius ratio calculations used to predict the coordination number of ions in ionic solids.

Gaseous State

The gaseous state topic includes ideal gas law, van der Waals equation, kinetic theory of gases, and mean free path. JEE questions often test the root mean square, average, and most probable speeds of gas molecules. A common mistake is applying ideal gas equations to conditions of high pressure where real gas corrections are necessary.

Surface Chemistry

Surface chemistry covers adsorption isotherms, catalysis, colloids, and emulsions. JEE questions distinguish between physisorption and chemisorption based on energy and reversibility. A frequently tested concept is the Freundlich adsorption isotherm and how the extent of adsorption varies with pressure and temperature.

General Organic Chemistry

General Organic Chemistry (GOC) covers inductive effect, resonance, hyperconjugation, reaction intermediates, and acidity-basicity of organic compounds. JEE Advanced frequently tests the stability order of carbocations and carbanions, where students confuse hyperconjugation with resonance stabilisation. Getting GOC right is essential because it underpins all subsequent organic chemistry topics.

Hydrocarbons

Hydrocarbons questions in JEE cover alkanes, alkenes, alkynes, and aromatic compounds, including reaction mechanisms like Markovnikov addition and Birch reduction. A key JEE Advanced concept is the distinction between electrophilic aromatic substitution directing effects of different substituents on a benzene ring.

Haloalkanes and Haloarenes

This chapter tests SN1 vs. SN2 mechanisms, stereochemistry of substitution, elimination reactions, and the reactivity of aryl halides. JEE problems often ask students to predict whether a given substrate undergoes SN1 or SN2 based on the degree of substitution at the carbon bearing the leaving group.

Alcohols, Phenols and Ethers

JEE questions on this topic cover the preparation and reactions of alcohols, the acidity of phenols, and the cleavage of ethers under acidic conditions. Students frequently lose marks by misidentifying whether a given alcohol undergoes oxidation to an aldehyde or ketone, which depends on whether the carbon is primary or secondary.

Aldehydes, Ketones and Carboxylic Acids

This topic covers nucleophilic addition to carbonyl groups, Aldol condensation, Cannizzaro reaction, and acidity of carboxylic acids. A recurring JEE confusion is the distinction between compounds that give a positive Tollens' test and those that don't - students often incorrectly include ketones in that list.

Amines

Amines questions in JEE test basicity order, Gabriel synthesis, Hofmann bromamide reaction, and diazonium salt reactions. JEE frequently asks students to rank amines by basicity - a concept where steric effects in aniline vs. aliphatic amines cause systematic confusion. Coupling reactions of diazonium salts are high-yield JEE Advanced topics.

Biomolecules

Biomolecules in JEE covers carbohydrates, proteins, nucleic acids, enzymes, and vitamins. Questions frequently test the classification of sugars (reducing vs. non-reducing), peptide bond formation, and the structure of DNA vs. RNA. Students often confuse α-amino acids and β-amino acids when answering protein structure questions.

Polymers

Polymer chemistry in JEE tests addition vs. condensation polymerisation, natural vs. synthetic polymers, and the properties of specific polymers like Nylon-6,6 and Bakelite. A common mistake is misidentifying the monomers of a given polymer - especially in distinguishing between Nylon-6 (caprolactam) and Nylon-6,6 (hexamethylenediamine + adipic acid).

Chemistry in Everyday Life

This chapter tests drugs, dyes, food additives, and cleansing agents. JEE Main questions frequently ask about the classification of drugs - analgesics, tranquilisers, antiseptics, and antibiotics - and students often confuse broad-spectrum antibiotics with narrow-spectrum ones. This is considered a scoring topic that requires factual memory over calculation.

Principles Related to Practical Chemistry

This topic covers qualitative salt analysis, detection of functional groups, and basic laboratory techniques tested in JEE Main. Questions often ask about the colour of precipitates formed during cation or anion group analysis. Students frequently confuse the reagents used for detection of different functional groups such as aldehydes, ketones, and carboxylic acids.

Classification of Elements and Periodicity

This chapter tests periodic trends in ionisation energy, electron affinity, electronegativity, atomic radius, and anomalous properties of second-period elements. JEE frequently exploits exceptions such as the higher second ionisation energy of Mg compared to Al, which contradicts a naive reading of the periodic trend. Both JEE Main and JEE Advanced include questions on this topic.

Hydrogen

The hydrogen chapter covers isotopes of hydrogen, hydrides (ionic, covalent, metallic), water structure and properties, and hydrogen peroxide. JEE Main questions often test the bleaching action of hydrogen peroxide and the structure of ice. Students frequently confuse the oxidation states of hydrogen in different types of metal hydrides.

s-Block Elements

s-Block element questions in JEE cover Group 1 and Group 2 metals, their reactions with water and oxygen, anomalous behaviour of lithium and beryllium, and compounds like caustic soda and washing soda. The diagonal relationship between lithium and magnesium is a frequently tested JEE concept that students often overlook.

p-Block Elements

p-Block elements is one of the highest-weightage inorganic topics in JEE, covering Groups 13-18 including allotropy of carbon, oxoacids of nitrogen, phosphorus, sulphur, and the inter-halogen compounds. JEE Advanced frequently asks about the structure and hybridisation of oxoacids, where students make errors with expanded octets.

d- and f-Block Elements

This chapter covers transition metals, their variable oxidation states, magnetic properties, coloured compounds, and lanthanide contraction. JEE questions frequently test why Cu²⁺ is more stable than Cu⁺ in aqueous solution - a thermodynamic argument involving hydration enthalpy. Lanthanide contraction and its effect on the size of 5d elements is a key JEE Advanced concept.

Coordination Compounds

Coordination compounds questions cover IUPAC nomenclature, Werner's theory, crystal field theory, and magnetic properties of complexes. JEE Advanced questions often ask students to calculate the number of unpaired electrons in a complex and determine whether it is paramagnetic. A common error is confusing inner orbital and outer orbital complexes in VBT.

General Principles and Processes of Isolation of Elements

This chapter tests metallurgical processes including concentration of ores, reduction methods (pyrometallurgy, hydrometallurgy, electrometallurgy), and refining techniques. JEE Main questions regularly ask which ore is used for a specific metal and which reduction process applies - students confuse the Hall-Héroult process (aluminium) with the van Arkel method (titanium).

Environmental Chemistry

Environmental chemistry in JEE covers air and water pollution, greenhouse effect, ozone depletion, and BOD. JEE Main questions test specific pollutants - for instance, the role of CFCs in ozone layer depletion and the threshold BOD value for clean water. This chapter is relatively straightforward conceptually but requires precise factual recall.

JEE Previous Year Questions - Mathematics Topics

Complex Numbers and Quadratic Equations

JEE questions on complex numbers test Argand plane, modulus-argument form, roots of unity, and cube roots. A frequently tested JEE Advanced concept is the geometrical interpretation of complex number inequalities. Quadratic equation questions often involve the nature of roots, sum and product relationships, and the location of roots with respect to a given value.

Sequences and Series

Sequences and series questions in JEE cover AP, GP, HP, AGP, and special series. A high-frequency JEE Main question type involves finding the sum of a series that is neither purely arithmetic nor geometric. JEE Advanced questions have tested telescoping series and the sum of infinite geometric progressions in multi-step problems.

Permutations and Combinations

Permutations and combinations is one of the most concept-intensive topics in JEE Mathematics, covering arrangements, selections, derangements, and multinomial theorem applications. A classic JEE mistake is using permutation when combination is required - particularly when distributing identical objects into distinct groups, where most students default to the wrong counting method.

Matrices and Determinants

JEE questions on matrices and determinants test matrix multiplication, inverse, rank, eigenvalues (conceptually), Cramer's rule, and properties of determinants. A common source of error is the incorrect application of row operations while expanding a determinant - particularly when a row has been swapped without changing the sign accordingly.

Binomial Theorem

Binomial theorem questions test general term, middle term, coefficient of a specific power, and properties of binomial coefficients. JEE Main frequently asks for the term independent of x in a binomial expansion - a question type students can lose marks on by failing to correctly equate the power of x to zero after substituting the general term formula.

Logarithms

Logarithm questions in JEE test change of base, logarithmic inequalities, and solving equations involving logarithms. A recurring JEE Main problem type involves finding the number of digits in a number using log₁₀, which requires understanding the relationship between the characteristic of a logarithm and the number of digits.

Linear Inequalities

Linear inequalities in JEE tests graphical solutions, solution sets of systems of linear inequalities, and their application in optimisation problems. JEE Main questions on this topic often involve identifying the correct feasible region from a system of two or three inequalities. Students frequently make sign errors when multiplying or dividing an inequality by a negative number.

Trigonometric Ratios, Functions and Equations

This topic covers trigonometric identities, graphs of trig functions, general solutions of trig equations, and inverse values. JEE Advanced has tested questions where the general solution of a trigonometric equation yields multiple valid answers requiring careful domain checking. A common error is missing solutions by only considering the principal value range.

Inverse Trigonometric Functions

Inverse trigonometric function questions test principal value branches, composition identities, and simplification. JEE frequently uses the identity sin⁻¹x + cos⁻¹x = π/2 and related forms in multi-step problems. Students consistently lose marks when they apply inverse trig identities outside the valid domain restrictions specified for each function.

Sets, Relations and Functions

JEE questions on sets, relations, and functions test domain and range determination, types of functions (injective, surjective, bijective), and composition of functions. A classic JEE Main problem type involves identifying whether a given function is one-one by checking whether the derivative changes sign - a concept at the intersection of calculus and algebra.

Limits and Derivatives

Limits questions in JEE test L'Hôpital's rule, standard limits, and sandwich theorem. JEE Advanced has featured limits that require both algebraic manipulation and standard limit forms in combination. A common student error is applying L'Hôpital's rule to a limit that is not in 0/0 or ∞/∞ indeterminate form, leading to incorrect answers.

Continuity and Differentiability

Continuity and differentiability questions test piecewise functions for continuity at breakpoints, Rolle's theorem, mean value theorem, and differentiability of modulus functions. JEE Main regularly presents piecewise-defined functions where students must verify both left-hand and right-hand limits - a step that is skipped under exam pressure.

Application of Derivatives

This topic covers maxima and minima, tangent and normal equations, rate of change, and increasing/decreasing functions. JEE Advanced has included problems requiring both the first and second derivative tests within the same question. A frequent error is finding a critical point but failing to verify whether it corresponds to a maximum, minimum, or point of inflection.

Indefinite Integrals

Indefinite integration in JEE tests substitution, integration by parts, partial fractions, and special forms involving trigonometric substitutions. A common JEE Main question type involves a rational function requiring partial fraction decomposition before integration. Students often forget the constant of integration in intermediate steps, which then distorts subsequent calculations.

Definite Integrals

Definite integral questions test King's property, Leibniz rule, and reduction formulas. JEE Advanced frequently uses the property ∫f(x)dx = ∫f(a+b-x)dx over [a,b] to simplify otherwise unsolvable integrals. Students who have not practised recognising when to apply symmetry properties often attempt brute-force integration and run out of time.

Application of Integrals

Application of integrals in JEE tests area under curves, area between two curves, and area of regions bounded by lines and parabolas. JEE Advanced questions on this topic have required setting up double-condition integrals where the boundary curve changes over different subintervals - a detail students miss when they don't sketch the region carefully.

Differential Equations

Differential equations questions in JEE cover variable separable, homogeneous, and linear first-order equations. JEE Advanced has tested problems where recognising the correct method (homogeneous substitution vs. linear integrating factor) is itself the key challenge. Students frequently apply the integrating factor formula to equations that are not yet written in standard linear form.

Straight Lines

Straight lines questions test slope forms, distance formulas, angle between lines, and family of lines. JEE frequently uses the concept of a family of lines passing through the intersection of two given lines - a powerful technique that many students are not comfortable applying under exam conditions. Both JEE Main and JEE Advanced regularly feature this topic.

Circles

Circle questions in JEE test equations of tangents and normals, chord of contact, radical axis, and common tangents. JEE Advanced has featured problems requiring the radical axis of three circles, a concept that students rarely practise despite its fairly regular appearance. The condition for orthogonality of two circles is another frequently tested result.

Parabola

Parabola questions test standard form, focal chord properties, tangent and normal equations, and the chord joining two parametric points. JEE Advanced questions on parabola often combine the focal chord condition (t₁t₂ = -1) with other conic properties in a single problem. Students frequently confuse the equation of the directrix with that of the latus rectum.

Ellipse

Ellipse questions in JEE test the standard equation, eccentricity, director circle, tangent conditions, and focal distances. A common mistake in JEE is confusing the relationship between the semi-major axis, semi-minor axis, and eccentricity - particularly when the ellipse is given with its major axis along the y-axis instead of the x-axis.

Hyperbola

Hyperbola questions cover asymptotes, rectangular hyperbola, conjugate hyperbola, and the condition for a line to be tangent. JEE Advanced has featured problems where the asymptotes of a hyperbola must be found and used to define a conjugate hyperbola - a multi-step problem type requiring firm conceptual grounding in the difference from ellipse properties.

Probability

Probability questions in JEE test Bayes' theorem, conditional probability, binomial distribution, and geometric probability. JEE Advanced has included problems where Bayes' theorem must be applied over three or more hypotheses simultaneously - a format that students find challenging when they haven't drilled the formula with varied examples. The binomial distribution mean and variance are also frequently tested.

Statistics

Statistics questions in JEE test mean, median, mode, variance, and standard deviation of grouped and ungrouped data. JEE Main frequently asks students to compute the variance of a dataset after a linear transformation of each data point - a concept where applying the shortcut formula (variance is unaffected by a shift) saves significant calculation time.

Vector Algebra

Vector algebra questions test dot product, cross product, scalar triple product, and vector equations of lines and planes. JEE Advanced questions on vectors often combine cross product with the condition of coplanarity or perpendicularity in a single problem. Students regularly confuse the formula for the angle between two vectors with the formula for the projection of one vector onto another.

3D Geometry

3D geometry questions cover direction cosines, equations of lines and planes in three dimensions, shortest distance between skew lines, and angle between a line and a plane. JEE Advanced has tested the condition for a line to lie in a given plane, which requires satisfying two conditions simultaneously - a subtlety students often miss by checking only one condition.

Mathematical Induction

Mathematical induction questions in JEE test the principle of induction through divisibility, inequality, and algebraic identity proofs. JEE Main questions on induction typically ask students to identify the correct inductive step or verify the base case. A common mistake is assuming that the inductive hypothesis directly implies the result for n+1 without explicit algebraic demonstration.

Mathematical Reasoning

Mathematical reasoning in JEE tests logical connectives, truth tables, tautologies, contrapositive, and converse statements. JEE Main questions frequently present compound propositions and ask students to identify the equivalent form - a topic where students confuse the contrapositive (always equivalent) with the converse (not always equivalent) of a conditional statement.

How Topic-wise JEE Previous Year Questions Help You Score Higher in JEE Main and JEE Advanced

Solving JEE Main previous year questions topic-wise is fundamentally different from attempting full mock tests - it allows you to measure performance at the granular level of each chapter. For instance, if you consistently get Electrochemistry questions wrong, that signals a gap in Nernst equation application rather than a broader Chemistry problem. The collection available on EduRev covers both JEE Main (2018-2024) and JEE Advanced (2018-2024), giving you a statistically meaningful sample for each topic. Working through these questions in order of difficulty also reveals how JEE Advanced questions on the same topic (such as Definite Integrals) are structurally more complex than their JEE Main counterparts.

JEE Main and JEE Advanced Previous Year Questions with Solutions - Topic-wise Coverage for Chemistry and Mathematics

A well-structured set of JEE previous year questions with detailed solutions is the most reliable resource for understanding what the examiners actually test. For Chemistry, topics like Coordination Compounds and p-Block Elements carry disproportionately high weightage in JEE Advanced, while Electrochemistry and Chemical Kinetics appear almost every year in JEE Main. For Mathematics, Definite Integrals and 3D Geometry are consistently high-scoring areas for students who practise them with previous year questions. All topic-wise question sets for both JEE Main and JEE Advanced are accessible on EduRev, with solutions that explain the correct method step by step.

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FAQs on JEE Physics Topic-wise Previous Year Questions with Solutions

1. Which JEE Physics topics appear most frequently in previous year question papers?
Ans. Mechanics, thermodynamics, electromagnetism, and optics dominate JEE Physics previous year questions. These core topics collectively account for over 60% of the exam. Reviewing topic-wise previous year questions helps identify high-weightage areas. Mechanics particularly emphasizes kinematics, circular motion, and energy conservation. Students should prioritise solving past problems from these sections to understand recurring question patterns and difficulty levels before attempting mock tests.
2. How do I solve rotational dynamics problems from JEE previous years without getting confused?
Ans. Rotational dynamics problems require clear distinction between linear and angular quantities-moment of inertia replaces mass, torque replaces force, and angular acceleration replaces linear acceleration. Most JEE previous year questions test moment of inertia calculations and torque applications simultaneously. Start by drawing free-body diagrams, identify the rotation axis, then apply Newton's second law for rotation (τ = Iα). Practice topic-wise previous year solutions systematically to recognise when pure rolling or slipping conditions apply.
3. Why do electromagnetic induction questions in JEE always involve Faraday's law and Lenz's law together?
Ans. Faraday's law quantifies induced EMF using magnetic flux change, while Lenz's law determines the direction of induced current-they're complementary principles. JEE previous year papers combine both because real electromagnetic phenomena require understanding both magnitude and direction. Questions typically present coil rotation, sliding conductors, or changing magnetic fields. Solving previous year electromagnetic induction problems reveals that identifying flux change rate (dΦ/dt) and applying Lenz's sign convention correctly determines marks, not calculation complexity alone.
4. What's the difference between Ray optics and Wave optics questions in JEE previous years?
Ans. Ray optics previous year questions focus on reflection, refraction, and lens behaviour using geometric principles-answerable through equations like lens formula and mirror formula. Wave optics problems involve interference, diffraction, and polarisation, requiring wavelength and path difference concepts. JEE exams test both equally. Ray optics typically appears in numerical problem-solving, while wave optics emphasises conceptual understanding. Reviewing topic-wise previous year solutions clarifies which optical phenomenon requires which approach for efficient problem-solving.
5. How should I approach modern physics questions from JEE previous years when photoelectric effect and atomic models appear together?
Ans. Modern physics previous year questions integrate photoelectric effect (energy-based), atomic structure (quantum numbers), and nuclear physics (binding energy) concepts. The photoelectric effect typically tests Einstein's equation (E = hf - φ), while atomic models involve Bohr's postulates and spectral series. JEE previous year papers strategically combine these topics because understanding photon energy, electron transitions, and nuclear stability together builds stronger conceptual foundations. Practising integrated solutions from past papers prevents treating these subtopics in isolation.
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