The JEE Advanced exam delves deeper into subjects like Physics, Chemistry, and Mathematics compared to JEE Main. Here are some advanced topics in each subject, including those not typically covered in the JEE Main exam:
Physics:
- Modern Physics:
- Photoelectric effect
- Compton effect
- Dual nature of radiation and matter
- Nuclear physics
- Radioactivity
- Binding energy and mass defect
- Thermodynamics and Kinetic Theory:
- Laws of thermodynamics
- Heat engines
- Thermodynamic processes
- Kinetic theory of gases
- Distribution of molecular speeds
- Electromagnetic Induction and Alternating Currents:
- Faraday’s laws of electromagnetic induction
- Lenz’s law
- Self and mutual inductance
- Alternating currents and circuits
- Reactance and impedance
- Optics:
- Interference and diffraction
- Polarization
- Optical instruments
- Wavefronts and Huygens’ principle
- Aberrations in lenses
- Fluid Mechanics:
- Pascal’s law
- Archimedes’ principle
- Bernoulli’s theorem
- Viscosity
- Surface tension
Chemistry:
- Physical Chemistry:
- Chemical kinetics
- Electrochemistry
- Thermodynamics and thermochemistry
- Chemical equilibrium
- Solid state chemistry
- Inorganic Chemistry:
- Coordination compounds
- Transition elements
- Hydrogen and its compounds
- P-block elements
- D-block elements
- Organic Chemistry:
- Stereochemistry
- Aromaticity and aromatic compounds
- Carbonyl compounds
- Carboxylic acids and their derivatives
- Biomolecules and polymers
- Environmental Chemistry:
- Green chemistry
- Environmental pollution
- Atmospheric chemistry
- Water chemistry
- Soil chemistry
- Chemical Kinetics:
- Rate laws
- Rate constants
- Order of reactions
- Factors affecting reaction rate
- Collision theory
Mathematics:
- Vectors and 3D Geometry:
- Vector algebra
- Scalar and vector products
- Lines and planes in space
- Direction cosines and ratios
- Distance between points and lines
- Matrices and Determinants:
- Matrix algebra
- Determinants and their properties
- Rank of a matrix
- Inverse of a matrix
- Eigenvalues and eigenvectors
- Probability and Statistics:
- Probability distributions
- Random variables
- Measures of central tendency
- Dispersion and skewness
- Regression and correlation analysis
- Differential Equations:
- Ordinary differential equations
- Partial differential equations
- Linear and non-linear differential equations
- Boundary value problems
- Laplace transforms
- Complex Numbers:
- Algebra of complex numbers
- Polar form and De Moivre’s theorem
- Roots of unity
- Argand diagram
- Complex functions and mappings
These advanced topics extend beyond the scope of the JEE Main exam and require a deeper understanding and proficiency in the respective subjects. Aspirants aiming for success in the JEE Advanced exam should prioritize studying and mastering these topics thoroughly.
