PHYSICS
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Carbon resistors, carbon resistors’ color code for; series and parallel combinations of resistors; temperature dependence of resistance. Electric charges and their conservation. Coulomb’s law-force between two point charges, Oersted’s experiment. Biot – Savart law and its application to current, forces between multiple charges; superposition principle and continuous charge distribution, Electric field, electric field due to a point charge. The internal resistance of a cell, potential difference, and emf of a cell, a combination of cells in series and in parallel, Concept of the magnetic field. Carrying circular loop. Ampere’s law, applications of ampere’s law to an infinitely long straight wire, toroidal and straight solenoids
Mirror formula. Refraction of light, total internal reflection, and its applications, optical fibers, Faraday’s law/induced emf/current; Electromagnetic induction; Lenz’s Law, Self/mutual inductance, Eddy currents, Alternating currents, Reflection of the light and also refraction on the spherical surfaces, spherical mirrors, lenses, lens- maker’s formula, thin lens formula, Magnification etc.
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CHEMISTRY
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Packing in solids, Redox reactions; conductance in electrolytic solutions, specific and molar conductivity variations of conductivity with concentration, Tyndall effect, Brownian movement, electrophoresis, coagulation; emulsions – types of emulsion, Haloalkanes. Classification of the solids depending on the different binding forces like ionic/molecular/ covalent/metallic solids, Nomenclature, nature of C-X bond, physical and chemical properties, crystalline solids and amorphous solids (elementary idea).
Unit cell in 2D/3D lattices, calculation of density of any cell, Kohlrausch’s Law, electrolysis, properties of colloids, mechanism of substitution reactions, Optical rotation, Aldehydes and Ketones: Nomenclature, nature of carbonyl group, methods of preparation, physical and chemical properties, and mechanism of nucleophilic addition etc.
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MATHEMATICS
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Binary operations, Inverse Trigonometric Functions Definition, range, domain, principal value branches. Graphs of inverse trigonometric functions, Relations and Functions Types of relations: Reflexive, symmetric, transitive and equivalence relations. One to one and onto functions, composite functions.
The change of matrix, matrices that are symmetric and skew-symmetric. the inverse of a function. Vectors and scalars, magnitude and direction of a vector, multiplication and scalar multiplication of matrices, simple properties of addition, Matrices Concept, notation, order, equality, types of matrices, zero matrices, Continuity and Differentiability, a derivative of composite functions, chain rule, etc.
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