Syllabus for Module 4 JEE Main & Advanced
Physics
Module 4 |
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Descriptions |
18. Electrostatics: Electric charges: conservation of charge. Coulomb's law forces between two point charges, forces between multiple charges: superposition principle and continuous charge distribution. Electric field: electric field due to a point charge, electric field lines. Electric dipole, electric field due to a dipole. Torque on a dipole in a uniform electric field. Electric flux. Gauss's law and its applications to find field due to infinitely long uniformly charged straight wire, uniformly charged infinite plane sheet, and uniformly charged thin spherical shell. Electric potential and its calculation for a point charge, electric dipole and system of charges; equipotential surfaces, electrical potential energy of a system of two point charges and of electric dipole in an electrostatic field. |
19. Conductors: Conductors and insulators. Dielectrics and electric polarization, capacitor and capacitance, the combination of capacitors in series and parallel, capacitance of a parallel plate capacitor with and without dielectric medium between the plates. Energy stored in a capacitor. |
20. Current Electricity: Electric current. Drift velocity, mobility, and their relation with electric current.. Ohm's law. Electrical resistance. I-v characteristics of ohmic and non-ohmic conductors. Electrical energy and power. Electrical resistivity and conductivity. Series and parallel combinations of resistors; temperature dependence of resistance.
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21. Magnetic Effects of Current : Biot - savart law and its application to current carrying circular loop. Ampere's law and its applications to infinitely long current carrying straight wire and solenoid. Force on a moving charge in uniform magnetic and electric fields. Force on a current-carrying conductor in a uniform magnetic field. The force between two parallel currents carrying conductors-definition of ampere. Torque experienced by a current loop in a uniform magnetic field: moving coil galvanometer, its current sensitivity, and conversion to ammeter and voltmeter |
22. Magnetism: Current loop as a magnetic dipole and its magnetic dipole moment. Bar magnet as an equivalent solenoid, magnetic field lines; magnetic field due to a magnetic dipole (bar magnet) along its axis and perpendicular to its axis. Toruqe on a magnetic dipole in a uniform magnetic field. Para-, dia- and ferromagnetic substances. The effects of temperature on magnetic properties. |
23. Electromagnetic Induction And Alternating Currents: Electromagnetic induction: faraday's law. Induced emf and current: lenz’s law, eddy currents. Self and mutual inductance. Alternating currents, peak and rms value of alternating current/ voltage: reactance and impedance: lcr series circuit, resonance: power in ac circuits, wattless current. AC generator and transformer. |
24. Electromagnetic Waves: Displacement current. Electromagnetic waves and their characteristics, transverse nature of electromagnetic waves, electromagnetic spectrum (radio waves, microwaves, infrared, visible, ultraviolet. X-rays. Gamma rays), applications of e.m. waves. |
Chemistry
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18. Solid State: Classification of solids: molecular, ionic, covalent and metallic solids, amorphous and crystalline solids (elementary idea); Bragg's Law and its applications: Unit cell and lattices, packing in solids (fcc, bcc and hcp lattices), voids, calculations involving unit cell parameters, an imperfection in solids; Electrical and magnetic properties. |
19. Solutions: Different methods for expressing the concentration of solution - molality, molarity, mole fraction, percentage (by volume and mass both), the vapour pressure of solutions and Raoult's Law - Ideal and non-ideal solutions, vapour pressure - composition, plots for ideal and non-ideal solutions; Colligative properties of dilute solutions - a relative lowering of vapour pressure, depression of freezing point, the elevation of boiling point and osmotic pressure; Determination of molecular mass using colligative properties; Abnormal value of molar mass, Van’t Hoff factor and its significance. |
20. Electrochemistry: Electrolytic and metallic conduction, conductance in electrolytic solutions, molar conductivities and their variation with concentration: Kohlrausch’s law and its applications.
Electrochemical cells - Electrolytic and Galvanic cells, different types of electrodes, electrode potentials including standard electrode potential, half - cell and cell reactions, emf of a Galvanic cell and its measurement: Nernst equation and its applications; Relationship between cell potential and Gibbs' energy change: Dry cell and lead accumulator; Fuel cells. |
21. Chemical Kinetics:
Rate of a chemical reaction, factors affecting the rate of reactions: concentration, temperature, pressure, and catalyst; elementary and complex reactions, order and molecularity of reactions, rate law, rate constant and its units, differential and integral forms of zero and first-order reactions, their characteristics and half-lives, the effect of temperature on the rate of reactions, Arrhenius theory, activation energy and its calculation, collision theory of bi-molecular gaseous reactions (no derivation). |
22. Surface Chemistry and General principles of isolation of elements: Surface Chemistry: General Principles and Processes of Isolation of Elements: Modes of occurrence of elements in nature, minerals, ores; Steps involved in the extraction of metals - concentration, reduction (chemical and electrolytic methods), and refining with special reference to the extraction of Al. Cu, Zn, and Fe; Thermodynamic and electrochemical principles involved in the extraction of metals. |
23. p – Block Elements: Group -15 Properties and uses of nitrogen and phosphorus; Allotrophic forms of phosphorus; Preparation, properties, structure, and uses of ammonia, nitric acid, phosphine, and phosphorus halides, (PCl3. PCl5); Structures of oxides and oxoacids of nitrogen and phosphorus.
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24. d and f Block Elements: Transition elements Inner Transition Elements: Lanthanoids - Electronic configuration, oxidation states, and lanthanoid contraction. Actinoids - Electronic configuration and oxidation states. |
Mathematics
Module 4 |
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Descriptions |
19. Solution Of Triangles And Its Application: (Height and Distance) |
20. Matrices: Matrices, algebra of matrices, type of matrices, determinants, and matrices of order two and three. |
21. Determinants: Evaluation of determinants, area of triangles using determinants, Adjoint, and evaluation of inverse of a square matrix; Test of consistency and solution of simultaneous linear equations in two or three variables using matrices. |
22. Application of Derivatives: Applications of derivatives: rate of change of quantities, monotonic increasing/decreasing functions, maxima and minima of functions of one variable, tangents and normal. |
23. Integral Calculas: Integral as an anti-derivative, Fundamental Integrals involving algebraic, trigonometric, exponential, and logarithms functions. Integrations by substitution, by parts, and by partial fractions. Integration using trigonometric identities.
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