Chemistry Paper-I (100 Marks) I. Atomic Structure and Quantum ChemElectromagnetic spectrum, photoelectric effect, Bohr’s atomic model, wave andparticle nature of light matter, de Broglie’s equation, Heisenberg’s uncertaintyprinciple, wave functions and Born interpretation of wave functions, probabilitydensity, Eigen functions and Eigen values, Hamiltonian operator, Schrödinger waveequation and its solution for particle in one and three dimensional […]
Statistics Part – I (50 marks) I. Descriptive StatisticsDefinition, Importance and scope of Statistics, Descriptive and Inferential Statistics,Presentation of the Data, Tables, Graphs and Charts: Stem-and leaf diagram, Boxand Whisker Plots. Measures of Central Tendency/location, Measures ofDispersion/Variability: Measures of Skewness and Kurtosis. II. Basic ProbabilityBasic Probability Concepts, Additive and Multiplicative laws of Probability, Joint andMarginal
Pure Mathematics Section-A (40- marks) I. Modern Algebra Group, subgroups, LaGrange’s theorem, Cyclic groups, Normal subgroups, Quotientgroups. Fundamental theorem of homomorphism. Isomorphism theorems of groups,Inner automorphisms. Conjugate elements, conjugate subgroups. Commutatorsubgroups. Ring, Subrings, Integral domains, Quotient fields, Isomorphism theorems, Fieldextension and finite fields. Vector spaces, Linear independence, Bases, Dimension of a finitely generatedspace. Linear
Physics PAPER—I (Marks-100) I. Mechanics Vectors: Dots, Cross and triple products, Gradient, divergence, curl andapplications. Newtonian laws of motion: calculus based approach to kinematics, forces anddynamics, conservation law of energy; conservation of linear and angularmomentum; Dynamics of rigid body; spin and precession; gyroscope;Gravitation; planetary motion and satellites; Kepler’s laws; centripetal forces Special theory of
Geology Part- I (50-marks) I. Introduction to Physical GeologyIntroduction and scope of geology, its importance and relationship with othersciences; Earth as a member of the solar system: its origin, age, composition andinternal structure; Introduction to rocks and minerals; Weathering and erosion;Isostasy; Geological Time Scale.II. Stratigraphy and PalaeontologyPrinciples of stratigraphy; Laws of superposition and faunal succession;
