JEE-Main
Periodic motion - period, frequency, displacement as a function of time. Periodic functions.
Simple harmonic motion (S.H.M.) and its equation; phase
oscillations of a spring -restoring force and force constant; energy in S.H.M. - kinetic and potential energies
Simple pendulum - derivation of expression for its time period; Free, forced and damped oscillations, resonance
Wave motion. Longitudinal and transverse waves, speed of a wave
Displacement relation for a progressive wave.
Principle of superposition of waves, reflection of waves, Standing waves in strings and organ pipes, fundamental mode and harmonics, Beats, Doppler effect in sound
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 in an electrostatic field
Conductors and insulators, Dielectrics and electric polarization, capacitor, combination of capacitors in series and in parallel
capacitance of a parallel plate capacitor with and without dielectric medium between the plates, Energy stored in a capacitor
Reflection and refraction of light at plane and spherical surfaces, mirror formula, Total internal reflection and its applications,
Deviation and Dispersion of light by a prism, Lens Formula, Magnification, Power of a Lens
Combination of thin lenses in contact, Microscope and Astronomical Telescope (reflecting and refracting) and their magnifyingpowers
Wave optics: wavefront and Huygens principle
Interference, Young's double slit experiment and expression for fringe width, coherent sources and sustained interference of light
Diffraction due to a single slit, width of central maximum
Resolving power of microscopes and astronomical telescopes, Polarisation, plane polarized light; Brewster's law
Discovery of sub-atomic particles (electron, proton and neutron); Thomson and Rutherford atomic models and their limitations; Nature of electromagnetic radiation, photoelectric effect;
Spectrum of hydrogen atom, Bohr model of hydrogen atom - its postulates, derivation of the relations for energy of the electron and radii of the different orbits, limitations of Bohr’s model
Dual nature of matter, de-Broglie’s relationship, Heisenberg uncertainty principle
Elementary ideas of quantum mechanics, quantum mechanical model of atom, its important features, ?? and ??2, concept of atomic orbitals as one electron wave functions; Variation of ?? and ??2 with r for 1s and 2s orbitals
various quantum numbers (principal, angular momentum and magnetic quantum numbers) and their significance
shapes of s, p and d - orbitals, electron spin and spin quantum number; Rules for filling electrons in orbitals aufbau principle
Pauli’s exclusion principle and Hund’s rule, electronic configuration of elements, extra stability of half-filled and completely filled orbitals
Electronic concepts of oxidation and reduction, redox reactions, oxidation number, rules for assigning oxidation number, balancing of redox reactions
Electrolytic and metallic conduction, conductance in electrolytic solutions, specific and 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; Corrosion and its prevention
General Introduction:
Preparation, properties and uses of boron and aluminium; Structure, properties and uses of borax, boric acid, diborane, boron trifluoride, aluminium chloride and alums.
Tendency for catenation; Structure, properties and uses of allotropes and oxides of carbon, silicon tetrachloride, silicates, zeolites and silicones.
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 phospho
Preparation, properties, structures and uses of dioxygen and ozone; Allotropic forms of sulphur; Preparation, properties, structures and uses of sulphur dioxide, sulphuric acid (including its industrial preparation); Structures of oxoacids of sulphur
Preparation, properties and uses of chlorine and hydrochloric acid; Trends in the acidic nature of hydrogen halides; Structures of Interhalogen compounds and oxides and oxoacids of halogens
Occurrence and uses of noble gases; Structures of fluorides and oxides of xenon
Real - valued functions, algebra of functions, polynomials, rational, trigonometric, logarithmic and exponential functions, inverse functions.
Graphs of simple functions. Limits, continuity and differentiability.
Differentiation of the sum, difference, product and quotient of two functions.
Differentiation of trigonometric, inverse trigonometric, logarithmic, exponential, composite and implicit functions; derivatives of order upto two.
Rolle’s and Lagrange’s Mean Value Theorems.
Applications of derivatives: Rate of change of quantities, monotonic - increasing and decreasing functions, Maxima and minima of functions of one variable, tangents and normals.
JEE-Main
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Integral Calculus
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Fundamental integrals involving algebraic, trigonometric, exponential and logarithmic functions. Integration by substitution, by parts and by partial fractions.
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