Joint Admission Test for M.Sc. (JAM) is an all-India examination conducted across the country jointly by Indian Institutes of Technology and Indian Institute of Science. JAM is an all India Entrance examination for admission to M.Sc. (Two Year), Joint M.Sc.-Ph.D., M.Sc.-Ph.D. Dual Degree and other Post-Bachelor’s Degree programmes at the IITs and to the Integrated Ph.D. programmes at IISc.
Functions, maxima and minima, integrals, ordinary differential equations, vectors and matrices, determinants, elementary statistics, and probability theory.
Fundamental particles, Bohr’s theory of the hydrogen-like atom, wave-particle duality, uncertainty principle, Schrödinger’s wave equation, quantum numbers, shapes of orbitals, Hund’s rule and Pauli’s exclusion principle, electronic configuration of simple homonuclear diatomic molecules.
Equation of state for ideal and non-ideal (van der Waals) gases, Kinetic theory of gases, Maxwell-Boltzmann distribution law, equipartition of energy.
Crystals and crystal systems, X-rays, NaCl and KCl structures, close packing, atomic and ionic radii, radius ratio rules, lattice energy, Born-Haber cycle, isomorphism, the heat capacity of solids.
Reversible and irreversible processes, first law and its application to ideal and no ideal gases, thermochemistry, second law, entropy, and free energy, Criteria for spontaneity.
Law of mass action, Kp, Kc, Kx and Kn, the effect of temperature on K, ionic equilibria in solutions, pH and buffer solutions, hydrolysis, solubility product, phase equilibria–phase rule and its application to one-component and two-component systems, colligative properties.
Conductance and its applications, transport number, galvanic cells, EMF and free energy, concentration cells with and without transport, polarography, concentration cells with and without transport, Debey-Huckel-Onsager theory of strong electrolytes.
Reactions of various order, Arrhenius equation, collision theory, transition state theory, chain reactions – normal and branched, enzyme kinetics, photochemical processes, catalysis.
Gibbs adsorption equation, adsorption isotherm, types of adsorption, the surface area of adsorbents, surface films on liquids.
Beer-Lambert law, fundamental concepts of rotational, vibrational, electronic and magnetic resonance spectroscopy.
Electronic effects (resonance, inductive, hyperconjugation) and steric effects and its applications (acid/base property), optical isomerism in compounds with and without any stereo Centres (allenes, biphenyls), conformation of acyclic systems (substituted ethane/n-propane/n-butane) and cyclic systems (mono- and di-substituted cyclohexanes).
Chemistry of reactive intermediates (carbocations, carbanions, free radicals, carbenes, nitrenes, benzynes etc…), Hofmann-Curtius-Lossen rearrangement, Wolff rearrangement, Simmons-Smith reaction, Reimer-Tiemann reaction, Michael reaction, Darzens reaction, Wittig reaction and McMurry reaction, Pinacol-pinacolone, Favorskii, benzilic acid rearrangement, dienone-phenol rearrangement, Baeyer-Villeger reaction; oxidation and reduction reactions in organic chemistry, organometallic reagents in organic synthesis (Grignard, organolithium and organocopper), Diels-Alder, electrocyclic and sigmatropic reactions, functional group inter-conversions and structural problems using chemical reactions.
Identification of functional groups by chemical tests; elementary UV, IR and 1H NMR spectroscopic techniques as tools for structural elucidation.
Chemistry of alkaloids, steroids, terpenes, carbohydrates, amino acids, peptides, and nucleic acids.
Monocyclic, bicyclic and tricyclic aromatic hydrocarbons, and monocyclic compounds with one hetero atom: synthesis, reactivity, and properties.
Periodic Table Periodic classification of elements and periodicity in properties, general methods of isolation and purification of elements.
Types of bonding, VSEPR theory, and shapes of molecules, hybridization, dipole moment, ionic solids, the structure of NaCl, CsCl, diamond and graphite, lattice energy.
General concepts on group relationships and gradation in properties, the structure of electron-deficient compounds involving main group elements
Characteristics of 3d elements, oxide, hydroxide, and salts of first row metals
structure, isomerism, reaction mechanism, and electronic spectra, VB, MO and Crystal Field theoretical approaches for structure, colour and magnetic properties of metal complexes, organometallic compounds having legends with back bonding capabilities such as metal carbonyls, carbenes, nitrosyls and metallocenes, homogenous catalysis
Essentials and trace elements of life, basic reactions in the biological systems and the role of metal ions, especially Fe2+, Fe3+, Cu2+ and Zn2+, structure and function of Haemoglobin and myoglobin and carbonic anhydrase
Basic principles, instrumentations and simple applications of conductometry, potentiometry and UV-vis spectrophotometry; analysis of water, air and soil samples
Principles of qualitative and quantitative analysis, acid-base, oxidation-reduction and complexometric titrations using EDTA, precipitation reactions, use of indicators, use of organic reagents in inorganic analysis, radioactivity, nuclear reactions, applications of isotopes