BITSAT Syllabus
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BITSAT
Syllabus – Part I: Physics
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1.
Units & Measurement
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1.1
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Units (Different systems of units, SI units,
fundamental and derived units)
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1.2
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Dimensional Analysis
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1.3
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Precision and significant figures
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1.4
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Fundamental measurements in Physics (Vernier
calipers, screw gauge, Physical balance etc)
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2. Kinematics
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2.1
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Properties of vectors
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2.2
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Position, velocity and acceleration vectors
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2.3
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Motion with constant acceleration
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2.4
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Projectile motion
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2.5
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Uniform circular motion
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2.6
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Relative motion
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3. Newton’s
Laws of Motion
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3.1
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Newton’s laws (free body diagram, resolution of
forces)
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3.2
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Motion on an inclined plane
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3.3
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Motion of blocks with pulley systems
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3.4
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Circular motion – centripetal force
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3.5
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Inertial and non-inertial frames
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4. Impulse
and Momentum
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4.1
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Definition of impulse and momentum
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4.2
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Conservation of momentum
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4.3
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Collisions
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4.4
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Momentum of a system of particles
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4.5
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Center of mass
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5.
Work and Energy
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5.1
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Work done by a force
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5.2
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Kinetic energy and work-energy theorem
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5.3
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Power
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5.4
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Conservative forces and potential energy
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5.5
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Conservation of mechanical energy
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6.
Rotational Motion
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6.1
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Description of rotation (angular displacement,
angular velocity and angular acceleration)
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6.2
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Rotational motion with constant angular acceleration
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6.3
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Moment of inertia, Parallel and perpendicular axes
theorems, rotational kinetic energy
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6.4
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Torque and angular momentum
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6.5
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Conservation of angular momentum
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6.6
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Rolling motion
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7.
Gravitation
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7.1
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Newton’s law of gravitation
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7.2
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Gravitational potential energy, Escape velocity
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7.3
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Motion of planets – Kepler’s laws, satellite motion
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8.
Mechanics of Solids and Fluids
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8.1
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Elasticity
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8.2
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Pressure, density and Archimedes’ principle
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8.3
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Viscosity and Surface Tension
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8.4
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Bernoulli’s theorem
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9.
Oscillations
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9.1
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Kinematics of simple harmonic motion
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9.2
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Spring mass system, simple and compound pendulum
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9.3
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Forced & damped oscillations, resonance
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10.
Waves
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10.1
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Progressive sinusoidal waves
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10.2
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Standing waves in strings and pipes
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10.3
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Superposition of waves, beats
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10.4
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Doppler Effect
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11.
Heat and Thermodynamics
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11.1
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Kinetic theory of gases
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11.2
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Thermal equilibrium and temperature
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11.3
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Specific heat, Heat Transfer – Conduction, convection
and radiation, thermal conductivity, Newton’s law of cooling
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11.4
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Work, heat and first law of thermodynamics
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11.5
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2nd law of thermodynamics, Carnot engine –
Efficiency and Coefficient of performance
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12.
Electrostatics
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12.1
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Coulomb’s law
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12.2
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Electric field (discrete and continuous
charge distributions)
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12.3
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Electrostatic potential and Electrostatic potential
energy
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12.4
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Gauss’ law and its applications
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12.5
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Electric dipole
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12.6
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Capacitance and dielectrics (parallel plate
capacitor, capacitors in series and parallel)
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13.
Current Electricity
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13.1
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Ohm’s law, Joule heating
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13.2
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D.C circuits – Resistors and cells in series and
parallel, Kirchoff’s laws, potentiometer and Wheatstone bridge,
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13.3
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Electrical Resistance (Resistivity, origin and
temperature dependence of resistivity).
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14.
Magnetic Effect of Current
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14.1
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Biot-Savart’s law and its applications
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14.2
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Ampere’s law and its applications
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14.3
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Lorentz force, force on current carrying conductors
in a magnetic field
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14.4
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Magnetic moment of a current loop, torque on a
current loop, Galvanometer and its conversion to voltmeter and ammeter
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15.
Electromagnetic Induction
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15.1
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Faraday’s law, Lenz’s law, eddy currents
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15.2
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Self and mutual inductance
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15.3
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Transformers and generators
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15.4
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Alternating current (peak and rms value)
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15.5
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AC circuits, LCR circuits
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16.
Optics
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16.1
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Laws of reflection and refraction
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16.2
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Lenses and mirrors
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16.3
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Optical instruments – telescope and microscope
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16.4
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Interference – Huygen’s principle, Young’s double
slit experiment
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16.5
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Interference in thin films
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16.6
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Diffraction due to a single slit
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16.7
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Electromagnetic waves and their characteristics (only
qualitative ideas), Electromagnetic spectrum
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16.8
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Polarization – states of polarization, Malus’ law,
Brewster’s law
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17.
Modern Physics
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17.1
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Dual nature of light and matter – Photoelectric
effect, De Broglie wavelength
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17.2
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Atomic models – Rutherford’s experiment, Bohr’s
atomic model
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17.3
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Hydrogen atom spectrum
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17.4
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Radioactivity
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17.5
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Nuclear reactions : Fission and fusion, binding
energy
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18. Electronic
Devices
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18.1
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Energy bands in solids (qualitative ideas only),
conductors, insulators and semiconductors;
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18.2
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Semiconductor diode – I-V characteristics in forward
and reverse bias, diode as a rectifier; I-V characteristics of LED,
photodiode, solar cell, and Zener diode; Zener diode as a voltage regulator.
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18.3
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Junction transistor, transistor action, characteristics
of a transistor; transistor as an amplifier (common emitter configuration)
and oscillator
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18.4
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Logic gates (OR, AND, NOT, NAND and NOR). Transistor
as a switch.
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BITSAT
Syllabus – Part II: Chemistry
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1.
States of Matter
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1.1
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Measurement: Physical quantities and SI units,
Dimensional analysis, Precision, Significant figures.
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1.2
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Chemical reactions: Laws of chemical combination,
Dalton’s atomic theory; Mole concept; Atomic, molecular and molar masses;
Percentage composition empirical & molecular formula; Balanced chemical
equations & stoichiometry
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1.3
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Three states of matter, intermolecular interactions,
types of bonding, melting and boiling points Gaseous state: Gas Laws, ideal
behavior, ideal gas equation, empirical derivation of gas equation, Avogadro
number, Deviation from ideal behaviour – Critical temperature, Liquefaction
of gases, van der Waals equation.
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1.4
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Liquid state: Vapour pressure, surface tension,
viscosity.
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1.5
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Solid state: Classification; Space lattices &
crystal systems; Unit cell in two dimensional and three dimensional lattices,
calculation of density of unit cell – Cubic & hexagonal systems; Close
packing; Crystal structures: Simple AB and AB2 type ionic crystals, covalent
crystals – diamond & graphite, metals. Voids, number of atoms per unit
cell in a cubic unit cell, ImperfectionsPoint defects, non-stoichiometric
crystals; Electrical, magnetic and dielectric properties; Amorphous solids –
qualitative description. Band theory of metals, conductors, semiconductors
and insulators, and n- and p- type semiconductors.
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2.
Atomic Structure
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2.1
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Introduction: Subatomic particles; Atomic number,
isotopes and isobars, Thompson’s model and its limitations, Rutherford’s
picture of atom and its limitations; Hydrogen atom spectrum and Bohr model
and its limitations.
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2.2
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Quantum mechanics: Wave-particle duality – de Broglie
relation, Uncertainty principle; Hydrogen atom: Quantum numbers and
wavefunctions, atomic orbitals and their shapes (s, p, and d), Spin quantum
number.
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2.3
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Many electron atoms: Pauli exclusion principle;
Aufbau principle and the electronic configuration of atoms, Hund’s rule.
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2.4
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Periodicity: Brief history of the development of
periodic tables Periodic law and the modern periodic table; Types of
elements: s, p, d, and f blocks; Periodic trends: ionization energy, atomic,
and ionic radii, inter gas radii, electron affinity, electro negativity and
valency. Nomenclature of elements with atomic number greater than 100.
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3. Chemical
Bonding & Molecular Structure
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3.1
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Valence electrons, Ionic Bond: Lattice Energy and
Born-Haber cycle; Covalent character of ionic bonds and polar character of
covalent bond, bond parameters
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3.2
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Molecular Structure: Lewis picture & resonance
structures, VSEPR model & molecular shapes
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3.3
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Covalent Bond: Valence Bond Theory- Orbital overlap,
Directionality of bonds & hybridization (s, p & d orbitals only),
Resonance; Molecular orbital theory- Methodology, Orbital energy level
diagram, Bond order, Magnetic properties for homonuclear diatomic species
(qualitative idea only).
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3.4
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Dipole moments; Hydrogen Bond
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4.
Thermodynamics
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4.1
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Basic Concepts: Systems and surroundings; State
functions; Intensive & Extensive Properties; Zeroth Law and Temperature
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4.2
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First Law of Thermodynamics: Work, internal energy,
heat, enthalpy, heat capacities and specific heats, measurements of ∆U and
∆H, Enthalpies of formation, phase transformation, ionization, electron gain;
Thermochemistry; Hess’s Law, Enthalpy of bond dissociation, combustion,
atomization, sublimation, solution and dilution
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4.3
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Second Law: Spontaneous and reversible processes;
entropy; Gibbs free energy related to spontaneity and non-spontaneity,
non-mechanical work; Standard free energies of formation, free energy change
and chemical equilibrium
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4.4
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Third Law: Introduction
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5.
Physical and Chemical Equilibria
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5.1
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Concentration Units: Mole Fraction, Molarity, and
Molality
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5.2
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Solutions: Solubility of solids and gases in liquids,
Vapour Pressure, Raoult’s law, Relative lowering of vapour pressure,
depression in freezing point; elevation in boiling point; osmotic pressure,
determination of molecular mass; solid solutions, abnormal molecular mass,
van’t Hoff factor. Equilibrium: Dynamic nature of equilibrium, law of mass
action
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5.3
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Physical Equilibrium: Equilibria involving physical
changes (solid-liquid, liquid-gas, solid-gas), Surface chemistry, Adsorption,
Physical and Chemical adsorption, Langmuir Isotherm, Colloids and emulsion,
classification, preparation, uses.
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5.4
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Chemical Equilibria: Equilibrium constants (KP, KC),
Factors affecting equilibrium, LeChatelier’s principle.
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5.5
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Ionic Equilibria: Strong and Weak electrolytes, Acids
and Bases (Arrhenius, Lewis, Lowry and Bronsted) and their dissociation;
degree of ionization, Ionization of Water; ionization of polybasic acids, pH;
Buffer solutions; Henderson equation, Acid-base titrations; Hydrolysis;
Solubility Product of Sparingly Soluble Salts; Common Ion Effect.
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5.6
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Factors Affecting Equilibria: Concentration,
Temperature, Pressure, Catalysts, Significance of ΔG and ΔG0 in Chemical
Equilibria.
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6.
Electrochemistry
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6.1
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Redox Reactions: Oxidation-reduction reactions
(electron transfer concept); Oxidation number; Balancing of redox reactions;
Electrochemical cells and cell reactions; Standard electrode potentials; EMF
of Galvanic cells; Nernst equation; Factors affecting the electrode
potential; Gibbs energy change and cell potential; Secondary cells; dry
cells, Fuel cells; Corrosion and its prevention.
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6.2
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Electrolytic Conduction: Electrolytic Conductance;
Specific and molar conductivities; variations of conductivity with
concentration , Kolhrausch’s Law and its application, Electrolysis, Faraday’s
laws of electrolysis; Electrode potential and electrolysis, Commercial
production of the chemicals, NaOH, Na, Al.
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7.
Chemical Kinetics
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7.1
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Aspects of Kinetics: Rate and Rate expression of a
reaction; Rate constant; Order and molecularity of the reaction; Integrated
rate expressions and half life for zero and first order reactions
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7.2
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Factor Affecting the Rate of the Reactions:
Concentration of the reactants, catalyst; size of particles, Temperature
dependence of rate constant concept of collision theory (elementary idea, no
mathematical treatment); Activation energy
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7.3
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Mechanism of Reaction: Elementary reactions; Complex
reactions; Reactions involving two/three steps only.
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7.4
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Surface Chemistry: Adsorption – physisorption
and chemisorption; factors affecting adsorption of gasses on solids;
catalysis: homogeneous and heterogeneous, activity and selectivity: enzyme
catalysis, colloidal state: distinction between true solutions, colloids and
suspensions; lyophillic, lyophobic multi molecular and macromolecular
colloids; properties of colloids; Tyndall effect, Brownian movement,
electrophoresis, coagulations; emulsions–types of emulsions.
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8. Hydrogen
and s-block elements
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8.1
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Hydrogen: Element: unique position in periodic table,
occurrence, isotopes; Dihydrogen: preparation, properties, reactions, and
uses; Molecular, saline, ionic, covalent, interstitial hydrides; Water:
Properties; Structure and aggregation of water molecules; Heavy water;
Hydrogen peroxide: preparation, reaction, structure & use, Hydrogen as a
fuel.
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8.2
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s-block elements: Abundance and occurrence; Anomalous
properties of the first elements in each group; diagonal relationships;
trends in the variation of properties (ionization energy, atomic & ionic
radii).
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8.3
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Alkali metals: Lithium, sodium and potassium:
occurrence, extraction, reactivity, and electrode potentials; Biological
importance; Reactions with oxygen, hydrogen, halogens water; Basic nature of
oxides and hydroxides; Halides; Properties and uses of compounds such as
NaCl, Na2CO3, NaHCO3, NaOH, KCl, and KOH.
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8.4
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Alkaline earth metals: Magnesium and calcium:
Occurrence, extraction, reactivity and electrode potentials; Reactions with
O2, H2O, H2 and halogens; Solubility and thermal stability of oxo salts; Biological
importance of Ca and Mg; Preparation, properties and uses of important
compounds such as CaO, Ca(OH)2, plaster of Paris, MgSO4, MgCl2, CaCO3,
and CaSO4.
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9. p-
d- and f-block elements
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9.1
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General: Abundance, distribution, physical and
chemical properties, isolation and uses of elements; Trends in chemical
reactivity of elements of a group; electronic configuration, oxidation
states; anomalous properties of first element of each group.
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9.2
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Group 13 elements: Boron; Properties and uses of
borax, boric acid, boron hydrides & halides. Reaction of aluminum with
acids and alkalis;
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9.3
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Group 14 elements: Carbon: carbon catenation,
physical & chemical properties, uses, allotropes (graphite, diamond,
fullerenes), oxides, halides and sulphides, carbides; Silicon: Silica,
silicates, silicone, silicon tetrachloride, Zeolites, and their uses
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9.4
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Group 15 elements: Dinitrogen; Preparation, reactivity
and uses of nitrogen; Industrial and biological nitrogen fixation; Compound
of nitrogen; Ammonia: Haber’s process, properties and reactions; Oxides of
nitrogen and their structures; Properties and Ostwald’s process of nitric
acid production; Fertilizers – NPK type; Production of phosphorus; Allotropes
of phosphorus; Preparation, structure and properties of hydrides, oxides,
oxoacids (elementary idea only) and halides of phosphorus, phosphine.
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9.5
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Group 16 elements: Isolation and chemical reactivity
of dioxygen; Acidic, basic and amphoteric oxides; Preparation, structure and
properties of ozone; Allotropes of sulphur; Preparation/production properties
and uses of sulphur dioxide and sulphuric acid; Structure and properties of
oxides, oxoacids (structures only).
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9.6
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Group 17 and group 18 elements: Structure and
properties of hydrides, oxides, oxoacids of halogens (structures only);
preparation, properties & uses of chlorine & HCl; Inter halogen
compounds; Bleaching Powder; Uses of Group 18 elements, Preparation,
structure and reactions of xenon fluorides, oxides, and oxoacids.
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9.7
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d-Block elements: General trends in the chemistry of
first row transition elements; Metallic character; Oxidation state;
ionization enthalpy; Ionic radii; Color; Catalytic properties; Magnetic
properties; Interstitial compounds; Occurrence and extraction of iron,
copper, silver, zinc, and mercury; Alloy formation; Steel and some important
alloys; preparation and properties ofK2Cr2O7, KMnO4.
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9.8
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f-Block elements: Lanthanoids and actinoids;
Oxidation states and chemical reactivity of lanthanoids compounds; Lanthanide
contraction and its consequences, Comparison of actinoids and lanthanoids.
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9.9
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Coordination Compounds: Coordination number; Ligands;
Werner’s coordination theory; IUPAC nomenclature; Application and importance
of coordination compounds (in qualitative analysis, extraction of metals and
biological systems e.g. chlorophyll, vitamin B12, and hemoglobin); Bonding:
Valence-bond approach, Crystal field theory (qualitative); Isomerism
including stereoisomerisms.
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10. Principles
of Organic Chemistry and Hydrocarbons
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10.1
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Classification: General Introduction, classification
based on functional groups, trivial and IUPAC nomenclature. Methods of
purification: qualitative and quantitative,
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10.2
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Electronic displacement in a covalent bond:
Inductive, resonance effects, and hyperconjugation; free radicals;
carbocations, carbanions, nucleophiles and electrophiles; types of organic
reactions, free radial halogenations.
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10.3
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Alkanes: Structural isomerism, general properties and
chemical reactions, free redical helogenation, combustion and pyrolysis.
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10.4
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Alkenes and alkynes: General methods of preparation
and reactions, physical properties, electrophilic and free radical additions,
acidic character of alkynes and (1,2 and 1,4) addition to dienes
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10.5
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Aromatic hydrocarbons: Sources; properties;
isomerism; resonance delocalization; aromaticity; polynuclear hydrocarbons;
IUPAC nomenclature; mechanism of electrophilic substitution reaction,
directive influence and effect of substituents on reactivity; carcinogenicity
and toxicity.
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10.6
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Haloalkanes and haloarenes: Physical properties,
nomenclature, optical rotation, chemical reactions and mechanism of
substitution reaction. Uses and environmental effects; di, tri,
tetrachloromethanes, iodoform, freon and DDT.
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11. Stereochemistry
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11.1
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Conformations: Ethane conformations; Newman and
Sawhorse projections.
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11.2
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Geometrical isomerism in alkenes
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12. Organic
Compounds with Functional Groups Containing Oxygen and Nitrogen
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12.1
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General: Nomenclature, electronic structure,
important methods of preparation, identification, important reactions,
physical and chemical properties, uses of alcohols, phenols, ethers,
aldehydes, ketones, carboxylic acids, nitro compounds, amines, diazonium
salts, cyanides and isocyanides.
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12.2
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-hydrogen in carbonyl compounds, effect of
substituents on alphacarbon on acid strength, comparative reactivity of acid
derivatives, mechanism of nucleophilic addition and dehydration, basic
character of amines, methods of preparation, and their separation, importance
of diazonium salts in synthetic organic chemistry.aSpecific: Reactivity of
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13. Biological
, Industrial and Environmental chemistry
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13.1
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Carbohydrates: Classification; Monosaccharides;
Structures of pentoses and hexoses; Simple chemical reactions of glucose,
Disaccharides: reducing and non-reducing sugars – sucrose, maltose and
lactose; Polysaccharides: elementary idea of structures of starch, cellulose
and glycogen.
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13.2
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Proteins: Amino acids; Peptide bond; Polypeptides;
Primary structure of proteins; Simple idea of secondary , tertiary and
quarternary structures of proteins; Denaturation of proteins and enzymes.
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13.3
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Nucleic Acids: Types of nucleic acids; Primary
building blocks of nucleic acids (chemical composition of DNA & RNA);
Primary structure of DNA and its double helix; Replication;Transcription and
protein synthesis; Genetic code.
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13.4
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Vitamins: Classification, structure, functions in
biosystems; Hormones
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13.5
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Polymers: Classification of polymers; General methods
of polymerization; Molecular mass of polymers; Biopolymers and biodegradable
polymers; methods of polymerization (free radical, cationic and anionic
addition polymerizations); Copolymerization: Natural rubber; Vulcanization of
rubber; Synthetic rubbers. Condensation polymers.
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13.6
|
Pollution: Environmental pollutants; soil, water and
air pollution; Chemical reactions in atmosphere; Smog; Major atmospheric
pollutants; Acid rain; Ozone and its reactions; Depletion of ozone layer and
its effects; Industrial air pollution; Green house effect and global warming;
Green Chemistry, study for control of environmental pollution
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13.7
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Chemicals in medicine, health-care and food: Analgesics,
Tranquilizers, antiseptics, disinfectants, anti-microbials, anti-fertility
drugs, antihistamines, antibiotics, antacids; Preservatives, artificial
sweetening agents, antioxidants, soaps and detergents.
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14. Theoretical
Principles of Experimental Chemistry
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|
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14.1
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Volumetric Analysis: Principles; Standard solutions
of sodium carbonate and oxalic acid; Acid-base titrations; Redox reactions
involving KI, H2SO4, Na2SO3, Na2S2O3and H2S; Potassium permanganate in
acidic, basic and neutral media; Titrations of oxalic acid, ferrous ammonium
sulphate with KMnO4, K2 Cr2O7/Na2S2O3, Cu(II)/Na2S2O3.
|
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14.2
|
Qualitative analysis of Inorganic Salts: Principles
in the determination of the cations Pb2+, Cu2+, As3+, Mn2+, Zn2+, Co2+, Ca2+,
Sr2+, Ba2+, Mg2+, NH4+, Fe3+, Ni2+ and the anions CO32-, S2-, SO42-,
SO32-, NO2–, NO3–, Cl–, Br–, I–, PO43-, CH3COO–, C2O42-.
|
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14.3
|
Physical Chemistry Experiments: preparation and
crystallization of alum, copper sulphate. Benzoic acid ferrous sulphate,
double salt of alum and ferrous sulphate, potassium ferric sulphate;
Temperature vs. solubility; Study of pH charges by common ion effect in case
of weak acids and weak bases; pH measurements of some solutions obtained from
fruit juices, solutions of known and varied concentrations of acids, bases
and salts using pH paper or universal indicator; Lyophilic and lyophobic
sols; Dialysis; Role of emulsifying agents in emulsification. Equilibrium
studies involving ferric and thiocyanate ions (ii) [Co(H2O)6] 2+ and chloride
ions; Enthalpy determination for strong acid vs. strong base neutralization
reaction (ii) hydrogen bonding interaction between acetone and chloroform; Rates
of the reaction between (i) sodium thiosulphate and hydrochloric acid, (ii)
potassium iodate and sodium sulphite (iii) iodide vs. hydrogen peroxide,
concentration and temperature effects in these reactions.
|
|
14.4
|
Purification Methods: Filtration, crystallization,
sublimation, distillation, differential extraction, and chromatography.
Principles of melting point and boiling point determination; principles of
paper chromatographic separation – Rf values.
|
|
14.5
|
Qualitative Analysis of Organic Compounds: Detection
of nitrogen, sulphur, phosphorous and halogens; Detection of carbohydrates,
fats and proteins in foodstuff; Detection of alcoholic, phenolic, aldehydic,
ketonic, carboxylic, amino groups and unsaturation.
|
|
14.6
|
Quantitative Analysis of Organic Compounds: Basic
principles for the quantitative estimation of carbon, hydrogen, nitrogen,
halogen, sulphur and phosphorous; Molecular mass determination by silver salt
and chloroplatinate salt methods; Calculations of empirical and molecular
formulae.
|
|
14.7
|
Principles of Organic Chemistry
Experiments: Preparation of iodoform, acetanilide, p-nitro
acetanilide, di-benzayl acetone, aniline yellow, beta-naphthol; Preparation
of acetylene and study of its acidic character.
|
|
14.8
|
Basic Laboratory Technique: Cutting glass tube
and glass rod, bending a glass tube, drawing out a glass jet, boring of cork.
|
BITSAT Syllabus – Part III
(a) English Proficiency
(b) Logical Reasoning
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(a) English Proficiency This test is designed to
assess the test takers’ general proficiency in the use of English language as
a means of self-expression in real life situations and specifically to test
the test takers’ knowledge of basic grammar, their vocabulary, their ability
to read fast and comprehend, and also their ability to apply the elements of
effective writing
|
|
|
1.
Grammar
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|
|
1.1
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Agreement, Time and Tense, Parallel construction,
Relative pronouns
|
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1.2
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Determiners, Prepositions, Modals, Adjectives
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1.3
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Voice, Transformation
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1.4
|
Question tags, Phrasal verbs
|
|
2.
Vocabulary
|
|
|
2.1
|
Synonyms, Antonyms, Odd Word, One Word, Jumbled
letters,Homophones, Spelling
|
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2.2
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Contextual meaning.
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2.3
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Analogy
|
|
3.
Reading Comprehension
|
|
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3.1
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Content/ideas
|
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3.2
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Vocabulary
|
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3.3
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Referents
|
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3.4
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Idioms/Phrases
|
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3.5
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Reconstruction (rewording)
|
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4.
Composition
|
|
|
4.1
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Rearrangement
|
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4.2
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Paragraph Unity
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4.3
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Linkers/Connectives
|
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(b) Logical Reasoning – The test is given to the
candidates to judge their power of reasoning spread in verbal and nonverbal
areas. The candidates should be able to think logically so that they perceive
the data accurately, understand the relationships correctly, figure out the
missing numbers or words, and to apply rules to new and different contexts.
These indicators are measured through performance on such tasks as detecting
missing links, following directions, classifying words, establishing
sequences, and completing analogies.
|
|
|
5.
Verbal Reasoning
|
|
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5.1
|
Analogy: Analogy means correspondence. In the
questions based on analogy, a particular relationship is given and another
similar relationship has to be identified from the alternatives provided.
|
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5.2
|
Classification: Classification means to assort the
items of a given group on the basis of certain common quality they possess
and then spot the odd option out.
|
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5.3
|
Series Completion: Here series of numbers or letters
are given and one is asked to either complete the series or find out the
wrong part in the series.
|
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5.4
|
Logical Deduction – Reading Passage: Here a brief
passage is given and based on the passage the candidate is required to
identify the correct or incorrect logical conclusions.
|
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5.5
|
Chart Logic: Here a chart or a table is given that is
partially filled in and asks to complete it in accordance with the
information given either in the chart / table or in the question.
|
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6.
Nonverbal Reasoning
|
|
|
6.1
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Pattern Perception: Here a certain pattern is given
and generally a quarter is left blank. The candidate is required to identify
the correct quarter from the given four alternatives.
|
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6.2
|
Figure Formation and Analysis: The candidate is
required to analyze and form a figure from various given parts.
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6.3
|
Paper Cutting: It involves the analysis of a pattern
that is formed when a folded piece of paper is cut into a definite design.
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6.4
|
Figure Matrix: In this more than one set of figures
is given in the form of a matrix, all of them following the same rule. The
candidate is required to follow the rule and identify the missing figure.
|
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6.5
|
Rule Detection: Here a particular rule is given and
it is required to select from the given sets of figures, a set of figures,
which obeys the rule and forms the correct series.
|
BITSAT
Syllabus – Part IV: Mathematics
|
1. Algebra
|
|
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1.1
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Complex numbers, addition, multiplication,
conjugation, polar representation, properties of modulus and principal
argument, triangle inequality, roots of complex numbers, geometric
interpretations; Fundamental theorem of algebra.
|
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1.2
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Theory of Quadratic equations, quadratic equations in
real and complex number system and their solutions, relation between roots
and coefficients, nature of roots, equations reducible to quadratic
equations.
|
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1.3
|
Arithmetic, geometric and harmonic progressions,
arithmetic, geometric and harmonic means, arithmetico-geometric
series, sums of finite arithmetic and geometric progressions,
infinite geometric series, sums of squares and cubes of the first n natural
numbers.
|
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1.4
|
Logarithms and their properties.
|
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1.5
|
Exponential series.
|
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1.6
|
Permutations and combinations, Permutations as an
arrangement and combination as selection, simple applications.
|
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1.7
|
Binomial theorem for a positive integral index,
properties of binomial coefficients, Pascal’s triangle
|
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1.8
|
Matrices and determinants of order two or three,
properties and evaluation of determinants, addition and multiplication of
matrices, adjoint and inverse of matrices, Solutions of simultaneous
linearequations in two or three variables, elementary row and column
operations of matrices, Types of matrices, applications of determinants in
finding the area of triangles.
|
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1.9
|
Sets, Relations and Functions, algebra of sets
applications, equivalence relations, mappings, one-one, into and onto
mappings, composition of mappings, binary operation, inverse of function,
functions of real variables like polynomial, modulus, signum and greatest
integer.
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1.10
|
Mathematical reasoning and methods of proofs ,
Mathematically acceptable statements. Connecting words/phrases –
consolidating the understanding of “ if and only if (necessary and
sufficient) condition”, “implies”, “and/or”, “implied” by”, “and”, “or”, “
there exists” and through variety of examples related to real life and
Mathematics. Validating the statements involving the connecting words –
difference between contradiction, converse and contra positive., Mathematical
induction
|
|
1.11
|
Linear Inequalities, solution of linear inequalities
in one variable ( Algebraic) and two variables (Graphical).
|
|
2. Trigonometry
|
|
|
2.1
|
Measurement of angles in radians and degrees,
positive and negative angles, trigonometric ratios, functions with their
graphs and identities.
|
|
2.2
|
Solution of trigonometric equations.
|
|
2.3
|
Inverse trigonometric functions
|
|
3. Two-dimensional
Coordinate Geometry
|
|
|
3.1
|
Cartesian coordinates, distance between two points,
section formulae, shift of origin.
|
|
3.2
|
Straight lines and pair of straight lines: Equation
of straight lines in various forms, angle between two lines, distance of a
point from a line, lines through the point of intersection of two given
lines, equation of the bisector of the angle between two lines, concurrent
lines.
|
|
3.3
|
Circles: Equation of circle in standard form,
parametric equations of a circle.
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3.4
|
Conic sections : parabola, ellipse and hyperbola
their eccentricity, directrices & foci.
|
|
4. Three
dimensional Coordinate Geometry
|
|
|
4.1
|
Co-ordinate axes and co-ordinate planes, distance
between two points, section formula, direction cosines and direction ratios,
equation of a straight line in space and skew lines.
|
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4.2
|
Angle between two lines whose direction ratios are
given, shortest distance between two lines.
|
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4.3
|
Equation of a plane, distance of a point from a
plane, condition for coplanarity of three lines, angles between two planes,
angle between a line and a plane.
|
|
5. Differential
calculus
|
|
|
5.1
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Domain and range of a real valued function, Limits
and Continuity of the sum, difference, product and quotient of two functions,
Differentiability.
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|
5.2
|
Derivative of different types of functions
(polynomial, rational, trigonometric, inverse trigonometric, exponential,
logarithmic, implicit functions), derivative of the sum, difference, product
and quotient of two functions, chain rule, parametric form.
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5.3
|
Geometric interpretation of derivative, Tangents and
Normals.
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5.4
|
Increasing and decreasing functions, Maxima and
minima of a function.
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5.5
|
Rolle’s Theorem, Mean Value Theorem and Intermediate
Value Theorem.
|
|
6. Integral
calculus
|
|
|
6.1
|
Integration as the inverse process of
differentiation, indefinite integrals of standard functions
|
|
6.2
|
Methods of integration: Integration by substitution,
Integration by parts, integration by partial fractions, and integration by
trigonometric identities.
|
|
6.3
|
Definite integrals and their properties, Fundamental
Theorem of Integral Calculus, applications in finding areas under simple
curves.
|
|
6.4
|
Application of definite integrals to the
determination of areas of regions bounded by simple curves.
|
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7. Ordinary
Differential Equations
|
|
|
7.1
|
Order and degree of a differential equation,
formulation of a differential equation whole general solution is given,
variables separable method.
|
|
7.2
|
Solution of homogeneous differential equations of
first order and first degree
|
|
7.3
|
Linear first order differential equations
|
|
8. Probability
|
|
|
8.1
|
Various terminology in probability, axiomatic and
other approaches of probability, addition and multiplication rules of
probability.
|
|
8.2
|
Conditional probability, total probability and Baye’s
theorem
|
|
8.3
|
Independent events
|
|
8.4
|
Discrete random variables and distributions with mean
and variance.
|
|
9. Vectors
|
|
|
9.1
|
Direction ratio/cosines of vectors, addition of
vectors, scalar multiplication, position vector of a point dividing a line
segment in a given ratio.
|
|
9.2
|
Dot and cross products of two vectors, projection of
a vector on a line.
|
|
9.3
|
Scalar triple products and their geometrical
interpretations.
|
|
10.
Statistics
|
|
|
10.1
|
Measures of dispersion
|
|
10.2
|
Analysis of frequency distributions with equal means
but different variances
|
|
11.Linear
Programming
|
|
|
11.1
|
Various terminology and formulation of linear
Programming
|
|
11.2
|
Solution of linear Programming using graphical
method, feasible and infeasible regions, feasible and infeasible solutions,
optimal feasible solutions (upto three nonitrivial constraints)
|
BITSAT
Syllabus – Part V: Biology
|
1: Diversity
in Living World
|
|
|
1.1
|
Biology – its meaning and relevance to mankind
|
|
1.2
|
What is living; Taxonomic categories and aids;
Systematics and Binomial system of nomenclature.
|
|
1.3
|
Introductory classification of living organisms
(Two-kingdom system, Five-kingdom system);
|
|
1.4
|
Plant kingdom – Salient features of major groups
(Algae to Angiosperms);
|
|
1.5
|
Animal kingdom –Salient features of Nonchordates up
to phylum, and Chordates up to class level.
|
|
2: Cell:
The Unit of Life; Structure and Function
|
|
|
2.1
|
Cell wall; Cell membrane; Endomembrane system (ER,
Golgi apparatus/Dictyosome, Lysosomes, Vacuoles); Mitochondria; Plastids;
Ribosomes; Cytoskeleton; Cilia and Flagella; Centrosome and Centriole;
Nucleus; Microbodies.
|
|
2.2
|
Structural differences between prokaryotic and
eukaryotic, and between plant and animal cells.
|
|
2.3
|
Cell cycle (various phases); Mitosis; Meiosis.
|
|
2.4
|
Biomolecules – Structure and function of
Carbohydrates, Proteins, Lipids, and Nucleic acids.
|
|
2.5
|
Enzymes – Chemical nature, types, properties and
mechanism of action.
|
|
3: Genetics
and Evolution
|
|
|
3.1
|
Mendelian inheritance; Chromosome theory of
inheritance; Gene interaction; Incomplete dominance; Co-dominance;
Complementary genes; Multiple alleles;
|
|
3.2
|
Linkage and Crossing over; Inheritance patterns of
hemophilia and blood groups in humans.
|
|
3.3
|
DNA –its organization and replication; Transcription
and Translation;
|
|
3.4
|
Gene expression and regulation; DNA fingerprinting.
|
|
3.5
|
Theories and evidences of evolution, including modern
Darwinism.
|
|
4: Structure
and Function – Plants
|
|
|
4.1
|
Morphology of a flowering plant; Tissues and tissue
systems in plants; Anatomy and function of root, stem (including
modifications), leaf, inflorescence, flower (including position and
arrangement of different whorls, placentation), fruit and seed; Types of
fruit; Secondary growth;
|
|
4.2
|
Absorption and movement of water (including
diffusion, osmosis and water relations of cell) and of nutrients;
Translocation of food; Transpiration and gaseous exchange; Mechanism of
stomatal movement.
|
|
4.3
|
Mineral nutrition – Macro- and micro-nutrients in
plants including deficiency disorders; Biological nitrogen fixation
mechanism.
|
|
4.4
|
Photosynthesis – Light reaction, cyclic and
non-cyclic photophosphorylation; various pathways of carbon dioxide fixation;
Photorespiration; Limiting factors.
|
|
4.5
|
Respiration – Anaerobic, Fermentation, Aerobic;
Glycolysis, TCA cycle; Electron transport system; Energy relations.
|
|
5:
Structure and Function – Animals
|
|
|
5.1
|
Human Physiology – Digestive system – organs,
digestion and absorption; Respiratory system – organs, breathing and exchange
and transport of gases.
|
|
5.2
|
Body fluids and circulation – Blood, lymph, double
circulation, regulation of cardiac activity; Hypertension, Coronary artery
diseases.
|
|
5.3
|
Excretion system – Urine formation, regulation of
kidney function
|
|
5.4
|
Locomotion and movement – Skeletal system, joints,
muscles, types of movement.
|
|
5.5
|
Control and co-ordination – Central and peripheral
nervous systems, structure and function of neuron, reflex action and sensory
reception; Role of various types of endocrine glands; Mechanism of hormone
action.
|
|
6: Reproduction, Growth and Movement in Plants
|
|
|
6.1
|
Asexual
methods of reproduction;
|
|
6.2
|
Sexual Reproduction – Development of male and female
gametophytes; Pollination (Types and agents); Fertilization; Development of
embryo, endosperm, seed and fruit (including parthenocarpy and elminth).
|
|
6.3
|
Growth and Movement – Growth phases; Types of growth
regulators and their role in seed dormancy, germination and movement;
|
|
6.4
|
Apical dominance; Senescence; Abscission; Photo-
periodism; Vernalisation;
|
|
6.5
|
Various types of movements.
|
|
7: Reproduction
and Development in Humans
|
|
|
7.1
|
Male and female reproductive systems;
|
|
7.2
|
Menstrual cycle; Gamete production; Fertilisation;
Implantation;
|
|
7.3
|
Embryo development;
|
|
7.4
|
Pregnancy and parturition;
|
|
7.5
|
Birth control and contraception.
|
|
8: Ecology
and Environment
|
|
|
8.1
|
Meaning of ecology, environment, habitat and niche.
|
|
8.2
|
Ecological levels of organization (organism to
biosphere); Characteristics of Species, Population, Biotic Community and
Ecosystem; Succession and Climax. Ecosystem – Biotic and abiotic components;
Ecological pyramids; Food chain and Food web;
|
|
8.3
|
Energy flow; Major types of ecosystems including
agroecosystem.
|
|
8.4
|
Ecological adaptations – Structural and physiological
features in plants and animals of aquatic and desert habitats.
|
|
8.5
|
Biodiversity and Environmental Issues – Meaning, types
and conservation strategies (Biosphere reserves, National parks and
Sanctuaries), Air and Water Pollution (sources and major pollutants); Global
warming and Climate change; Ozone depletion; Noise pollution; Radioactive
pollution; Methods of pollution control (including an idea of
bioremediation); Deforestation; Extinction of species (Hot Spots).
|
|
9: Biology
and Human Welfare
|
|
|
9.1
|
Animal husbandry – Livestock, Poultry, Fisheries;
Major animal diseases and their control. Pathogens of major communicable
diseases of humans caused by fungi, bacteria, viruses, protozoans and
elminthes, and their control.
|
|
9.2
|
Cancer; AIDS.
|
|
9.3
|
Adolescence and drug/alcohol abuse;
|
|
9.4
|
Basic concepts of immunology.
|
|
9.5
|
Plant Breeding and Tissue Culture in crop
improvement.
|
|
10: Biotechnology
and its Applications
|
|
|
10.1
|
Microbes as ideal system for biotechnology;
|
|
10.2
|
Microbial technology in food processing, industrial
production (alcohol, acids, enzymes, antibiotics), sewage treatment and
energy generation.
|
|
10.3
|
Steps in recombinant DNA technology – restriction
enzymes, NA insertion by vectors and other methods, regeneration of
recombinants
|
|
10.4
|
Applications of R-DNA technology in human health
–Production of Insulin, Vaccines and Growth hormones, Organ transplant, Gene
therapy.
|
|
10.5
|
Applications in Industry and Agriculture – Production
of expensive enzymes, strain improvement to scale up bioprocesses, GM crops
by transfer of genes for nitrogen fixation, herbicide-resistance and
pest-resistance including Bt crops.
|
Reminder: Dear applicants to receive more
information in PDF regarding this syllabus you must visit Official Notification.
Take a Look on Below Table
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