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10. Surface Chemistry .......................................................................................................................4911. Metallurgy .....................................................................................................................................5112. Periodic Properties .....................................................................................................................5313. Chemistry of Non-metals .............................................................................................................5714. Chemistry of Metals .....................................................................................................................6315. Chemistry of Representative Elements .......................................................................................6716. Transition Metals Including Lanthanides .....................................................................................7117. Coordination Compounds and Organometallics ..........................................................................7718. General Organic Chemistry .........................................................................................................8119. Hydrocarbons ...............................................................................................................................8720. Halides, Hydroxy Compounds & Ethers ......................................................................................9321. Aldehydes, Ketones, Carboxylic Acids & Their Derivatives ........................................................9922. Nitrogen Containing Compounds ...............................................................................................10323. Polymers ....................................................................................................................................10724. Biomolecules ..............................................................................................................................10925. Chemistry in Action ....................................................................................................................113 SOLvEd PAPEr - 2009 ............................................................................................................115 SOLvEd PAPEr - 2010 ............................................................................................................123

MATHEMATICS1. Set, Relations and Functions ....................................................................................................... 12. Complex Numbers ........................................................................................................................ 73. Matrices and Determinants ..........................................................................................................114. Quadratic Equations.....................................................................................................................175. Permutations and Combinations ..................................................................................................236. Mathematical Induction and its Applications ...............................................................................277. Binomial Theorem ........................................................................................................................298. Sequences and Series .................................................................................................................359. Differential Calculus .....................................................................................................................4110. Integral Calculus ..........................................................................................................................5111. Differential Equations ...................................................................................................................6312. Two Dimensional Geometry .........................................................................................................6713. Three Dimensional Geometry ......................................................................................................8114. Vector Algebra ..............................................................................................................................8915. Statistics .......................................................................................................................................9516. Probability ....................................................................................................................................9917. Trigonometry ..............................................................................................................................10318. Mathematical Logic ....................................................................................................................10919. Statics ........................................................................................................................................ 11120. Dynamics ..................................................................................................................................115

SOLvEd PAPEr - 2009 ............................................................................................................121 SOLvEd PAPEr - 2010 ............................................................................................................129

SOLvEd PAPEr - 2011 (Physics, Chemistry, Mathematics) ................................................. 1 SOLvEd PAPEr - 2012 (Physics, Chemistry, Mathematics) ................................................21

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seCtion A

Unit - I: Physics and MeasurementPhysics, technology and society, S. I. units, fundamental and derived units, least count, accuracy and precision of measuring instruments, errors in measurement, significant figures. Dimensions of physical quantities, dimensional analysis and its applications.

Unit - II: KinematicsFrame of reference, motion in a straight line: position-time graph, speed and velocity, uniform and non-uniform motion, average speed and instantaneous velocity. Uniformly accelerated motion, velocity-time, position-time graphs, relations for uniformly accelerated motion. Scalars and vectors, vector addition and subtraction, zero vector, scalar and vector products, unit vector, resolution of a vector, relative velocity, motion in a plane, projectile motion, uniform circular motion.

Unit - III: Laws of MotionForce and inertia, Newton’s first law of motion, momentum, Newton’s second law of motion, impulse, Newton’s third law of motion, law of conservation of linear momentum and its applications, equilibrium of concurrent forces.

Static and kinetic friction, laws of friction, rolling friction. Dynamics of uniform circular motion: centripetal force and its applications.

Unit - Iv: Work, Energy and Power Work done by a constant force and a variable force, kinetic and potential energies, work-energy theorem, power.

Potential energy of a spring, conservation of mechanical energy, conservative and non-conservative forces, elastic and inelastic collisions in one and two dimensions.

Unit - v: rotational MotionCentre of mass of a two-particle system, centre of mass of a rigid body, basic concepts of rotational motion, moment of a force, torque, angular momentum, conservation of angular momentum and its applications, moment of inertia, radius of gyration, values of moments of inertia for simple geometrical objects, parallel and perpendicular axes theorems and their applications.

Rigid body rotation, equations of rotational motion.Unit - vI: GravitationThe universal law of gravitation.Acceleration due to gravity and its variation with altitude and depth.Kepler’s laws of planetary motion.Gravitational potential energy, gravitational potential.Escape velocity, orbital velocity of a satellite, geostationary satellites.

* For latest information, please refer JEE 2013 Information Bulletin

PHYSICS