IIT JAM 2026 Most expected questions: Check Paper Wise Topics

• Diodes, Logic gates, Boolean algebra

• Phase transitions, Maxwell relations, First law, Second law

• Damped oscillations, Superposition of SHM, SHM

• Interference, Polarization. Ray optics

• Nuclear physics, Quantum mechanics, Relativity

• Flux, EMI, EM waves, Electrostatic potential

• Vector calculus, Matrices, Series

• Bernoulli’s theorem, Collisions, Moment of inertia, Central force.

• Pauli’s Exclusion Principle, Hund’s rule
• Schrödinger’s wave equation (mathematical treatment)
• Bohr’s theory, de Broglie postulate, Heisenberg’s Uncertainty Principle
• Planck’s black body radiation, Photoelectric effect
• Quantum numbers, hydrogen atom wave functions

• Maxwell-Boltzmann distribution of velocities
• Critical state, law of corresponding states
• Ideal and real gases, van der Waals equation
• Kinetic molecular theory, mean free path, viscosity

• Crystal structures (NaCl, CsCl, KCl, diamond, graphite)
• Miller indices, X-ray diffraction, Bragg’s law
• Defects, lattice energy, semiconductors

• Effect of solute concentration and temperature on properties
• Vapour pressure, surface tension, viscosity

• Le Chatelier’s principle
• Gibbs phase rule, phase diagrams
• Raoult’s law, colligative properties
• pH, buffers, solubility product

• Chemical potential, Gibbs Duhem equation, Laws of thermodynamics, thermochemistry, Enthalpy, entropy, Gibbs free energy

• Arrhenius equation, activation energy
• Catalysis: homogeneous, heterogeneous, enzyme catalysis
• Order & molecularity, rate laws

• EMF, Nernst equation, electrode potentials
• onductivity, molar conductivity, Kohlrausch’s law
• Debye-Hückel-Onsager equation

• Vectors, matrices, determinants
• Functions, maxima & minima
• Elementary statistics

• Named reactions: Hofmann, Wolff, Simmons-Smith, Reimer-Tiemann, Michael, Wittig, McMurry, Favorskii, Baeyer-Villiger
• Pericyclic reactions: Diels-Alder, electrocyclic, sigmatropic
• Nucleophilic substitution, elimination reactions

• UV, IR, and 1H NMR basics for structure elucidation
• Functional group tests

• Carbohydrates, amino acids, peptides, nucleic acids
• Terpenes, steroids, Alkaloids

• lattice energy,Born-Haber cycle, Intermolecular forces
• Ionic & covalent bonding, hybridization

• Properties of d-block elements, Homogeneous catalysis
• Organometallic compounds, Crystal field theory

• Minimal and Characteristic Polynomials
• Cayley-Hamilton Theorem
• Vector Spaces & Linear Combinations
• Basis, Dimension & Subspaces
• Linear Transformations & Matrix Representation
• Rank, Invertibility & Systems of Linear Equations

Differential Equations

• Wronskian & Theory of Linear DEs
• Orthogonal Trajectories
• First Order First Degree DE
• Linear Independence of Solutions
• Second Order Linear DE with Constant Coefficients (CAPI)
• Exact Differential Equations

• limsup and liminf, Power Series & Radius of Convergence, Ratio & Root Tests
• Series Manipulation Techniques

• Area and Volume Problems
• Surface Integrals & Curve Rotation Problems
• Double Integrals & Change of Order
• Leibniz Theorem

• Limits, Continuity & Differentiability
• Mean Value Theorem variants
• Intermediate Value Theorem
• Uniform Continuity

• Partial Derivatives
• Directional Derivatives & Gradient
• Constrained Optimization (Lagrange Multipliers)
• Maxima, Minima & Saddle Points
• Directional Derivatives & Gradient

• Normal Subgroups & Cosets
• Cyclic Groups & Generators
• Abelian Groups
• Homomorphisms, Isomorphisms & Kernels

• Signaling mechanisms: G-proteins, second messengers (cAMP, IP3), endocrine/paracrine pathways

• Organelles: Structure and function of mitochondria, ER, Golgi, nucleus

• Cell types: Prokaryotic vs. Eukaryotic cells

• Organelles: Structure and function of mitochondria, ER, Golgi, nucleus

• Techniques: CRISPR basics, gel electrophoresis, PCR, DNA cloning
• Central Dogma: DNA replication (enzymes, origin of replication), Translation (ribosome structure, tRNA, codon usage), Transcription (initiation to termination)
• Genetic material: Watson-Crick model, DNA/RNA structure

• Enzymology: Michaelis-Menten kinetics, Inhibitors, Enzyme-substrate complex
• Metabolism: Urea cycle, ETC, Beta-oxidation, TCA cycle, Glycolysis

• Immunity: Innate vs. acquired immunity, antigen-antibody interaction, vaccines

• Bacterial growth curve, sterilization methods

• Classification: Bacteria, protozoa, viruses, fungi

• Reactions: Cannizzaro reaction, SN1, SN2, E1, E2 mechanisms; Aldol condensation
• Biomolecules: Amino acids, peptides, nucleotides, lipids – basic structure & reactivity
• Functional groups: Ketones, carboxylic acids, amines, aldehydes, Alcohols 

• Chemical kinetics: Arrhenius equation, Rate laws, order of reaction,
• Solutions: Colligative properties, Raoult's Law, Concentration terms
• Thermodynamics: Gibbs free energy, First & second law, enthalpy, entropy

• Chemical bonding: VSEPR theory, molecular orbital theory, hybridization
• Coordination chemistry: Crystal field theory, Nomenclature
• Periodic properties: Electronegativity, Trends in atomic size,  ionization energy