Physics

  • General: Units and dimensions, Dimensional analysis; least count, significant figures; Methods of measurement and error analysis for physical quantities.
  • Mechanics: Kinematics in one and two dimensions; Projectile motion; Uniform circular motion; Concept of force; Newton's laws of motion; Inertial and non-inertial frames of reference; Static and kinetic friction; Work and energy; Power; Conservation of energy and momentum; Elastic and inelastic collisions; Centre of mass; Centre of gravity; Rotational motion; Torque; Angular momentum; Conservation of angular

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Chemistry

  • Physical Chemistry:
  • General topics: Concept of atoms and molecules; Mole concept and molar mass; Percentage composition; Empirical and molecular formula; Chemical equations; Stoichiometry.
  • Gaseous and liquid states: Gas laws; Ideal gas equation; Kinetic theory of gases; Deviation from ideal behavior; van der Waals equation; Liquid state; Vapor pressure; Viscosity; Surface tension.
  • Atomic structure: Bohr's model; Quantum mechanical model; Heisenberg's uncertainty principle; Wave-particle duality; Quantum

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Mathematics

  • Algebra: Complex numbers, algebra of complex numbers, representation of complex numbers in a plane, triangle inequality, Quadratic equations, Arithmetic, geometric and harmonic progressions, Logarithms and their properties, Permutations and combinations, Binomial theorem for positive integral index, Matrices and determinants, Linear equations, System of linear equations, Trigonometry, Trigonometric functions, Trigonometric identities, Trigonometric equations, Inverse trigonometric functions, Properties of triangles.
  • Calculus: Differential calculus, Functions, Limits, Continuity, Differentiability, Differentiation, Applications of derivatives, Integral calculus, Indefinite integration, Definite integration,

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