SCIENCE 

                                                                                                                                  PHYSICS (A) 

 General Physics

Units and dimensions, vector and scalar quantities, products ( scalar and vector), gradient, divergence & curl, Gauss and Stoke theorems and applications

 Newtonian Mechanics

 Motion, force and Acceleration equations of motion, Kinetic and potential energy, Linear and angular momentum, conservation of energy and momentum ,conservative and non-conservative forces, Rotatory motion, centrifugal and centripetal forces, gravitational force, central force, Kepler's laws of planetary motion, geo stationary, satellites, acceleration due to gravity, escape velocity simple and compound pendulums. gravity, escape velocity.

 Rotational Mechanics 

 Moment of inertia, Theorems of parallel and perpendicular axes, Moment of inertia of ring, circular disc, sphere and cylinder, Angular momentum and  Torque.

Fluid Mechanics 

 Viscosity, Streamline and Turbulent motion, critical velocity. Stoke's and Poissollis’s formula. Bernoulli theorem and uses. 

Surface tension

 Excess pressure inside curved surfaces, surface energy and full of liquid through capillary

 Elasticity

Elastic Constants and their mutual relations Bending moment, cantilever.

 Theory of relativity, variation of mass, length and time with velocity, mass energy equivalence.

Heat

 Concept of heat and temperature, Various scales of temperature, absolute temperature, Thermal expansion of solids, gases and liquids, good and bad conductors, radiation of heat, blackbody radiation, Rayleigh- Jean's Law, Planck Law, Wien’s law, Newtons law of cooling and Stefan's law, internal energy, Isothermal and Adiabatic changes, 1& II Law of thermodynamics, Carrot engine, Entropy, Maxwell's thermodynamic relations, Joule’s Thomson effect, Clausius Clapeyron equations.

 Waves and Oscillations:   

Simple harmonic motion; progressive and stationary waves ,Phase and Group velocities ,Damped harmonic motion, forced oscillation and resonance, Sharpness of resonance, super position of waves ,Beats and Lissajous figures ,Doppler effect.

 Optics:

 Spherical mirrors and lenses, Reactive indices, Formulae for focal lengths, Coaxial lens system, Combination of thin lenses, Eye pieces: Ramsden and Huygen's eye piece, aberrations of lenses, Human eye, Hypermetropia and myopia. Basic concepts of Interference, Diffraction and polarization, Theory of Biprism, Newtons rings, Fresnel and Fraunhoffer diffraction, Zone plate, Gratings Double refraction, Plane, Circular and Elliptical Polarisation, quarter and half wave plates. Rayleigh criterion and resolving power of prism and grating Introduction of laser, Ruby and Helium Neonlaser.

 Electricity and Magnetism:

 Primary and Secondary cells, internal resistance, electromotive force, combinations of resistance and capacitances, current drift velocity and conductivity, galvanometer ,Ammeter and voltmeter ,Wheatstone's bridge and applications ,Biot-Savart law, Ampere's Circuital law, electro- magnetic induction, Faradays law & Lenz's law, self and mutual inductions, Alternating current, Series and parallel resonance (LCR)circuits ,para-dia and Ferromagnetism, Maxwell's electromagnetic field equations, Displacement current Electromagnetic waves.

 Modern Physics:

 Atomic-structure, vector atom model and Bohr model, Paull's Exclusion principle, optical and X-ray spectra, Photoelectric effect, Compton effect and Zeeman effect, Paschen Back effect, Raman effect, de Broglie waves uncertainty principle, Schrodinger equation and applications, Radioactivity, Metal. Semiconductor and insulaters. P N Junctions, Zener diode, Transistors: Construction and applications. Logic gates, Truth tables, Boolean Algebra.

.                                                                                                               (B) CHEMISTRY 

General Organic Chemistry

 Hyper conjugation, Inductive effect, Resonance, and Aromaticity and their applications. Electrophiles and nucleophiles. and reaction intermediates (carbocation, carbanion, free radical, carbine and benzyne)

 Reaction mechanism 

SN„ SN2, E„ and E2 reaction, electrophilic addition of alkenes, alkynes and free radical addition of alkenes. Nucleophilic addition of carbonyl compounds. Electrophilic aromatic substitution, ortho/para/meta directing groups and activating and deactivating groups in ArSE reaction . 

Mechanism of name reaction:

 Aldol reaction, Perkin reaction, Cannizzaro reaction, Benzo in condensation, Witting reaction, Reimer-Tiemann reaction ,Hoffmann Bromamide reaction, Knoevenagel reaction ,Michael addition

. Carbohydrates:

(only glucose and fructose) mutarotation formation of ozazone, oxidation and reduction.

 Polymer: 

Natural (starch, cellulose, rubber and silk) and synthetic polymers, Nylon, Terylene ,Polyethylene ,PVC ,and Teflon ).

 Isomerism:

 Structural and stereoisomerism (enantiomerism , diast ereomerism R/S and E/Z nomenclature).

 Absorption Spectroscopy UV: 

Chromophore, auxochrome, bathochromic and hypsochromic shift, effect of conjugation and stability on λmax Woodward- Fieser rule for calculation of max of polyenes. I R: Absorption frequency of Various functional groups and Factors on which Vmax depend.

 Structure of Atom 

Bohr's model, quantum numbers and Modern Atomic Theory.

Periodic properties

Atomic and ionic radii, ionization potential, electron affinity, electronegativity Lattice energy, hydration energy and their relation to solubility of ionic compounds.

Chemical bonding

Ionic, covalent, coordinate and hydrogen bonding. Shape of molecules.

 Coordination Chemistry

3d block elements, nomenclature of complexes, ligands (monodentate, bidentate, polydentate), Werner theory and valence bond theory, Biologically active coordination compounds (haemoglobin, myoglobin, vitamin B12, chlorophyll)

 Oxidation and Reduction

Oxidation number, redox reaction and standard electrode potential of half cell and its application in inorganic chemistry.

 Radioactivity

Natural radioactivity, radioactive decay, properties of, and Rays,half life period, nuclear fission and nuclear fusion. 

Chemical kinetics and catalysis

Molecularity, order of reaction, examples of zero, first and second order reaction, examples of catalytic and enzymatic reactions.

Thermodynamics

First and second law of thermodynamics, enthalpy of a system and capacity at constant volume and pressure, relation between Cp and Cv Extensive and intensive property.

Chemical equilibrium

Law of mass action, Le-Chatelier principle and its application, degree of dissociation, relation between Kp and Kc activity and activity coefficient.

Ionic equilibrium

Dissociation of weak acid (Ka) and weak base.(K ), hydrolysis of salts of weak acid and Weak base, strong acid-weak base and weak acid- strong base. Solubility and solubility product. Dissociation constant of water (Kw), buffer solution and pH of the buffer solution.

A.MECHANICS 

1. Vector algebra: scalar and vector products, vector identities, background of vector calculus, concept of line, surface and volume integrals, physical meaning of gradient, divergence and curl, Gauss and Stoke's theorems. 

Centre of mass, rotating frame of reference, coriolis force, motion of rigid bodies, moment of inertia, theorem of parallel and perpendicular axes, movement of inertia of sphere, ring, cylinder and disc. Angular momentum, torque, central force, Kepler's Law, motion of satellite (including geostationary satellite), Galilieon transformation, special theory of relativity, Michelson - Morley experiment, Lorentz transformation equations, variation of mass and length with velocity, time dilation, addition of velocities and mass energy equivalence relation. Stream line and turbulent motions, Reynold's number, Stoke's law, Poiseulle's formula, flow of liquid through narrow tube. Bernoulli's formula with applications, surface tension, Stress- strain relationship, Hooke's Law, modulii of elasticity and interrelation between them Poisson's ratio, elastic energy. Physical world and measurement, Kinematics, Laws of motion, Work energy and power, Gravitation.

2.THERMAL PHYSICS  

Concept of temperature and the zeroth law, first law of thermodynamics and internal energy, isothermal and adiabatic changes, second law of thermodynamics, Entropy, Carnot cycle and Carnot engine, absolute scale of temperature. Maxwell's thermodynamical relations. The Clausius- Clapeyron equation, porus plug experiment and Joule Thomson effect. Kinetic theory of gases, Maxwell distribution law of velocities, calculation of mean velocity, root mean square velocity and the Most probable velocity, degrees of freedom, Law of equipartition of energy, specific heats of gases, mean free path, transport phenomena. Black body radiation, Stefan's law, Newtons law of cooling Wien's law, Rayleigh Jeans’ law, Planck's law, solar constant. Production of low temperatures by adiabatic demagnetization. Behaviour of ideal gas and molecular theory of gasses.

3.WAVE AND OSCILLATION 

Oscillation, simple harmonic motion, stationary and progressive waves, damped harmonic-motion, forced oscillations and resonance, sharpness of resonance, wave equation, Plane and spherical waves superposition of waves. Fourier analysis of periodic waves- square and triangular waves, phase and group velocities, Beats.

4.OPTICS 

Cardinal points of a coaxial system, simple problems on combination of thin lenses eyepiece- Ramsdon and Huygens eyepieces. Huygen's principle, conditions for sustained interference Young double slit experiment division of amplitude and wavefront, Fresnel biprism, Newtons rings, Michelson interferometer, diffraction by straight edge, single, double and multiple slits. Rayleigh's criterion, resolving power of optical instruments. Polarization, production and detection of polarized light (linear circular and elliptical) Brewster's law, Huygen's theory of double refraction, optical rotation, polarimeter

5.LESER 

Temporal and spatial coherence, stimulated emission, basic ideas about laser emission, Ruby and He-Ne lasers

6.ELECTRICITY AND MAGNETISM 

Gauss law and its applications, electric potential, Kirchoff's laws and their applications, Wheatstone's bridge, Biot-Savart law, Ampere's circuital law, and their applications. Magnetic induction and field strength, magnetic field on the axis of circular coil, Electro magnetic induction, Faraday's and Lenz's law, self and mutual inductances, alternating current, L.C.R. circuits, series and parallel resonance Circuits, quality factor. Maxwell's equations and electromagnetic waves transverse nature of electromagnetic waves, Poynting vector, dia-, para-, ferro-, antiferro- and feri-magnetism (qualitative approach only), hysteresis .

7.MODERN PHYSICS 

Bohr's theory of hydrogen atom, electron spin, Pauli's exclusion principle, optical and X-ray spectra, spatial quantization and Stern-Gerlach experiment, vector model of the atom, spectral terms, fine structure of spectral lines J-J and L-S coupling, Zeeman effect, Raman effect, photoelectric effect, Compton effect, de Broglie waves, wave-particle duality, Uncertainty principle, postulates of quantum mechanics, Schrodinger wave equation and its applications to (i) particle in a box (ii) motion across a step potential (iii) one dimensional harmonic oscillator, and eigen values, Einstein's and debye theory of specific heat of solids. Band theory of solids energy band, Kronig-Penny model in one dimension, energy gap, distinction between metals, semiconductors and insulators, variation of Fermi level with temperature and effective mass. Radio activity, alfa, beta and gamma radiations, elementary theory of alpha decay, nuclear binding energy, Semi empirical mass formula, nuclear fission and fussion and nuclear reactors elementary particles, particle accelerator, cyclotron, linear accelerator, Elementary idea's of super conductivity.

8.ELECTRONICS 

Intrinsic and extrinsic semiconductors, PN junction, Zener diode and their characteristics, unipolar and bipolar transisters solar cells, use of diode and transistor for rectification, amplification, oscillation, modulation and detection, r.f. waves. Logic gates and their truth tables, some applications.

 0. General Physics & Kinematics (3 Core topics)  

 •  Physical world and measurement
• Kinematics
•  Laws of motion
1. Mechanics  (7 Topics and 59 subtopics )  

I . Vector Calculus (7 Core  topics)  

 •  Scalar and vector products
•  Vector identities
•  Background of vector calculus
•  Concept of line, surface and volume integrals
•  Physical meaning of gradient, divergence and curl
•  Gauss's divergence theorem
•  Stokes' theorem

II . Rigid Body Dynamics (9 Core topics)  

 •  Centre of mass
•  Rotating frame of reference
•  Coriolis force
•  Motion of rigid bodies
•  Moment of inertia
•  Theorem of parallel and perpendicular axes
•  Moment of inertia of sphere, ring, cylinder and disc
•  Angular momentum
•  Torque

III . Central Forces & Gravitation (5 Core topics)  

 •  Central force motion
•  Kepler's Laws of planetary motion
•  Motion of satellite
•  Geostationary satellite
•  Gravitation principles, work, energy, and power

IV. Special Relativity (9 Core topics)  

 •  Galilean transformation
•  Special theory of relativity
•  Michelson-Morley experiment
•  Lorentz transformation equations
•  Variation of mass with velocity
•  Length contraction
•  Time dilation
•  Addition of velocities
•  Mass-energy equivalence relation

V. Fluid Mechanics (6 Core topics)  

 •  Streamline and turbulent motions

•  Reynolds number
•  Stokes' law
•  Poiseuille's formula
•  Flow of liquid through narrow tube
•  Bernoulli's formula with applications
VI. Properties of Matter (6 Core topics)  

 •  Surface tension
•  Stress-strain relationship
•  Hooke's Law
•  Modulii of elasticity and interrelation between them
•  Poisson's ratio
•  Elastic energy

2. Thermal Physics (4 Topics | 33 sub topics)  

I. Thermodynamics Foundations (7 Core topics)  

 •  Concept of temperature and the zeroth law
•  First law of thermodynamics and internal energy
•  Isothermal and adiabatic changes
•  Second law of thermodynamics
•  Entropy
•  Carnot cycle and Carnot engine
•  Absolute scale of temperature
II.Thermodynamic Relations (4 Core topics)  

 •  Maxwell's thermodynamical relations
•  The Clausius-Clapeyron equation
•  Porous plug experiment and Joule Thomson effect
•  Production of low temperatures by adiabatic demagnetization

    Kinetic Theory of Gases (9 Core topics) 

   •  Behaviour of ideal gas and molecular theory of gases
•  Kinetic theory of gases
•  Maxwell distribution law of velocities
•  Calculation of mean velocity, root mean square velocity and the Most probable velocity
•  Degrees of freedom
•  Law of equipartition of energy
•  Specific heats of gases
•  Mean free path
•  Transport phenomena
    Radiation (7 Core topics)  

 •  Black body radiation
•  Stefan's law
•  Newton's law of cooling
•  Wien's law
•  Rayleigh Jeans' law
•  Planck's law
•  Solar constant
3. Waves & Oscillations (2 Topics | 14 sub topics)    

 I. Oscillations & Resonance (6 Core topics)  

 •  Oscillation
•  Simple harmonic motion
•  Damped harmonic-motion
•  Forced oscillations and resonance
•  Sharpness of resonance
•  Quality factor

II.  Wave Propagation (6 Core topics)  

 •  Wave equation
•  Plane and spherical waves
•  Superposition of waves
•  Fourier analysis of periodic waves - square and triangular waves
•  Phase and group velocities
•  Beats
4. Optics (4 Topics | 26 sub topics)  

I. Geometrical Optics (4 Core Items)  

 •  Cardinal points of a coaxial system
•  Simple problems on combination of thin lenses
•  Ramsden eyepiece
•  Huygens eyepiece
 II. Interference  (7 Core topics)  

 •  Huygen's principle
•  Conditions for sustained interference
•  Young double slit experiment
•  Division of amplitude and wavefront
•  Fresnel biprism
•  Newtons rings
•  Michelson interferometer

 III. Diffraction & Resolving Power (4 Core Items)  

 •  Diffraction by straight edge
•  Single, double and multiple slits
•  Rayleigh's criterion
•  Resolving power of optical instruments

 IV. Polarization (6 Core topics)  

 •  Polarization
•  Production and detection of polarized light (linear circular and elliptical)
•  Brewster's law
•  Huygen's theory of double refraction
•  Optical rotation
•  Polarimeter
5. Laser (1 Topic | 6Sub topics)  

I. Laser Fundamentals & Systems (5 Core topics)  

 •  Temporal and spatial coherence
•  Stimulated emission
•  Basic ideas about laser emission
•  Ruby laser
•  He-Ne laser
6. Electricity & Magnetism (4 Topics | 27 sub topics)  

I. Electrostatics & DC Circuits  (4 Core topics)  

 •  Gauss law and its applications
•  Electric potential
•  Kirchhoff's laws and their applications
•  Wheatstone's bridge

7. Modern Physics (5 Topics | 41 topics ) 

 I. Atomic Physics & Spectroscopy (11 Core topics )    

•  Bohr's theory of hydrogen atom
•  Electron spin
•  Pauli's exclusion principle
•  Optical and X-ray spectra
•  Spatial quantization and Stern-Gerlach experiment
•  Vector model of the atom
•  Spectral terms
•  Fine structure of spectral lines
•  J-J and L-S coupling
•  Zeeman effect
•  Raman effect
II. Quantum Mechanics Foundations (7 Core topics )  

 •  Photoelectric effect
•  Compton effect
•  de Broglie waves
•  Wave-particle duality
•  Uncertainty principle
•  Postulates of quantum mechanics
•  Schrodinger wave equation

III. Quantum Mechanics Applications (3 Core topics)  

 •  Application: Particle in a box
•  Application: Motion across a step potential
•  Application: One dimensional harmonic oscillator and eigen values

IV. Solid State Physics (7 Core topics)  

 •  Einstein's and debye theory of specific heat of solids
•  Band theory of solids
•  Energy band, Kronig-Penny model in one dimension
•  Energy gap
•  Distinction between metals, semiconductors and insulators
•  Variation of Fermi level with temperature and effective mass
•  Elementary ideas of super conductivity
V. Nuclear & Particle Physics (8 Core topics)  

 •  Radio activity
•  Alfa, beta and gamma radiations
•  Elementary theory of alpha decay
•  Nuclear binding energy
•  Semi empirical mass formula
•  Nuclear fission and fusion and nuclear reactors
•  Elementary particles
•  Particle accelerator, cyclotron, linear accelerator
8. Electronics (3 Topics | 16 topics)  

I. Semiconductor Devices (4 Core topics)    

•  Intrinsic and extrinsic semiconductors
•  PN junction, Zener diode and their characteristics
•  Unipolar and bipolar transistors
•  Solar cells

III.  Electronic Circuits & Communication (2 Core topics) 

   •  Use of diode and transistor for rectification, amplification, oscillation, modulation and detection
• R.f. waves

 IV. Digital Electronics (2 Core topics)

 •  Logic gates and their truth tables
•  Some applications