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Central Board of Secondary
Education
New Delhi
AIEEE - 2009
(All India Engineering Entrance Examination) |
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Syllabus
of Examination |
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MATHEMATICS
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UNIT 1 |
SETS, RELATIONS AND
FUNCTIONS |
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Sets and their
Representations, Union,
intersection and complements
of sets, and their algebraic
properties, Power set; Relations,
Types of Relations equivalence relations,
Functions; one-one, into and
onto function, composition
of functions.
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UNIT 2 |
COMPLEX NUMBERS AND
QUADRATIC EQUATIONS |
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Complex numbers as ordered
pairs of reals,
Representation of complex
numbers in the form a+ib and
their representation in a
plane, Argand diagram,
algebra of complex numbers,
modulus and argument (or
amplitude) of a complex
number, square root of a
complex number, triangle
inequality, Quadratic
equations in real and
complex number system and
their solutions. Relation
between roots and co-efficients,
nature of roots, formation
of quadratic equations with
given roots
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UNIT 3 |
MATRICES AND DETERMINANTS
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Matrices, algebra of
matrices, types of matrices,
determinants and matrices of
order two and three.
Properties of determinants,
evaluation of determinants,
area of triangles using
determinants. Adjoint and
evaluation of inverse of a
square matrix using
determinants and elementary
transformations, Test of
consistency and solution of
simultaneous linear
equations in two or three
variables using determinants
and matrices.
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UNIT 4
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PERMUTATIONS AND
COMBINATIONS
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Fundamental principle of
counting, permutation as an
arrangement and combination
as selection, Meaning of P (n,r)
and C (n,r), simple
application.
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UNIT 5 |
MATHEMATICAL INDUCTION
AND ITS APPLICATION |
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Principle of Mathematical
Induction and its simple applications.
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UNIT 6 |
BINOMIAL THEOREM AND ITS
SIMPLE APPLICATIONS |
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Binomial Theorem for a
positive integral index;
general term and middle
term; Binomial Theorem for
any index. Properties of
Binomial Co-efficients and
Simple applications. |
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UNIT 7
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SEQUENCES AND SERIES
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Arithmetic and Geometric
progressions, insertion of
arithmetic, geometric means
between two given numbers.
Relation between A.M. and
G.M. Sum upto n terms of
special series: Sn, Sn2,
Sn3. Arithmetico - Geometric
progression.
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UNIT 8 |
LIMIT, CONTINUITY AND
DIFFERENTIABILITY:
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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.
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UNIT 9 |
INTEGRAL CALCULUS |
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Integral as an anti -
derivative. Fundamental
integrals involving
algebraic, trigonometric,
exponential and logarithmic
functions. Integration by
substitution, by parts and
by partial fractions.
Integration using
trigonometric identities.
Evaluation of simple
integrals of the type
Integral as limit of a sum.
Fundamental Theorem of
Calculus. Properties of
definite integrals.
Evaluation of definite
integrals, determining areas
of the regions bounded by
simple curves in standard
form.
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UNIT 10 |
DIFFERENTIAL EQUATIONS |
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Ordinary differential
equations, their order and
degree. Formation of
differential equations.
Solution of differential
equations by the method of
separation of variables.
Solution of homogeneous and
linear differential
equations, and those of the
type
dy/dx + p (x) y = q (x) |
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UNIT 11 |
CO-ORDINATE GEOMETRY |
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Cartesian system of
rectangular co-ordinates in
a plane, distance formula,
section formula, locus and
its equation, translation of
axes, slope of a line,
parallel and perpendicular
lines, intercepts of a line
on the coordinate axes. |
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Straight lines |
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Various forms of equations
of a line, intersection of
lines, angles between two
lines, conditions for
concurrence of three lines,
distance of a point from a
line, equations of internal
and external bisectors of
angles between two lines,
coordinates of centroid,
orthocentre and circumcentre
of a triangle, equation of
family of lines passing
through the point of
intersection of two lines. |
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Circles, conic sections |
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Standard form of equation of
a circle, general form of
the equation of a circle,
its radius and centre,
equation of a circle when
the end points of a diameter
are given, points of
intersection of a line and a
circle with the centre at
the origin and condition for
a line to be tangent to a
circle, equation of the
tangent. Sections of cones,
equations of conic sections
(parabola, ellipse and
hyperbola) in standard
forms, condition for y = mx
+ c to be a tangent and
point (s) of tangency.
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UNIT 12 |
THREE DIMENSIONAL
GEOMETRY |
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Coordinates of a point in
space, distance between two
points; Section formula,
direction ratios and
direction cosines, angle
between two intersecting
lines. Skew lines, the
shortest distance between
them and its equation.
Equations of a line and a
plane in different forms;
intersection of a line and a
plane, coplanar lines. |
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UNIT 13 |
VECTOR ALGEBRA |
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Vectors and scalars,
addition of vectors,
components of a vector in
two dimensions and three
dimensional space, scalar
and vector products, scalar
and vector triple product.
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UNIT 14 |
STATISTICS AND PROBABILITY |
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Measures of Dispersion:
Calculation of mean, median,
mode of grouped and
ungrouped data. Calculation
of standard deviation,
variance and mean deviation
for grouped and ungrouped
data. |
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Probability:
Probability of an event,
addition and multiplication
theorems of probability,
Baye’s theorem, probability
distribution of a random
variate, Bernoulli trials
and Binomial distribution. |
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UNIT 15 |
TRIGONOMETRY |
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Trigonometrical identities
and equations.
Trigonometrical functions.
Inverse trigonometrical
functions and their
properties. Heights and
Distances.
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UNIT 16 |
MATHEMATICAL REASONING
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Statements, logical
operations and, or, implies,
implied by, if and only if.
Understanding of tautology,
contradiction, converse and
contrapositive. |
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PHYSICS
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The syllabus contains two
Sections - A and B. Section
- A pertains to the Theory
Part having 80% weightage,
while Section - B contains
Practical Component
(Experimental Skills) having
20% weightage . |
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SECTION A |
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UNIT 1 |
PHYSICS AND MEASUREMENT |
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Physics, 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.
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UNIT 2 |
KINEMATICS |
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Frame of reference. Motion
in a straight line:
Position-time graph, speed
and velocity. Uniform and
non-uniform motion, average
speed and instantaneous
velocityUniformly 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. |
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UNIT 3 |
LAWS OF MOTION |
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Force 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
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UNIT 4 |
WORK, ENERGY AND POWER
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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.
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UNIT 5 |
ROTATIONAL MOTION AND
MOMENT OF INERTIA |
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Centre 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.
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UNIT 6 |
GRAVITATION |
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The 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. Geo-stationary
satellites. |
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UNIT 7 |
PROPERTIES OF SOLIDS AND
LIQUIDS
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Elasti behaviour,
Stress-strain relationship,
Hooke’s Law, Young’s
modulus, bulk modulus,
modulus of rigidity.Pressure
due to a fluid column;
Pascal’s law and its
applications.Viscosity, Stokes’ law,
terminal velocity,
streamline and turbulent
flow, Reynolds number.
Bernoulli’s principle and
its applications. Surface
energy and surface tension,
angle of contact,
application of surface
tension - drops, bubbles and
capillary rise. Heat,
temperature, thermal
expansion; specific heat
capacity, calorimetry;
change of state, latent
heat.
Heat transfer-conduction,
convection and radiation,
Newton’s law of cooling.
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UNIT 8 |
THERMODYNAMICS
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Thermal equilibrium, zeroth
law of thermodynamics,
concept of temperature.
Heat, work and internal
energy. First law of
thermodynamics.Second law of
thermodynamics: reversible
and irreversible processes.
Carnot engine and its
efficiency. |
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UNIT 9 |
KINETIC THEORY OF GASES
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Equation of state of a
perfect gas, work done on
compressing a gas.Kinetic
theory of gases -
assumptions, concept of
pressure. Kinetic energy and
temperature: rms speed of
gas molecules; Degrees of
freedom, Law of
equipartition of energy,
applications to specific
heat capacities of gases;
Mean free path, Avogadro’s
number.
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UNIT 10 |
OSCILLATIONS AND WAVES
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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. |
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UNIT 11 |
ELECTROSTATICS
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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.
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UNIT 12 |
CURRENT ELECTRICITY
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Electric current, Drift
velocity, Ohm’s law,
Electrical resistance,
Resistances of different
materials, V-I
characteristics of Ohmic and
nonohmic conductors,
Electrical energy and power,
Electrical resistivity,
Colour code for resistors;
Series and parallel
combinations of resistors;
Temperature dependence of
resistance. Electric Cell and
its Internal resistance,
potential difference and emf
of a cell, combination of
cells in series and in
parallel. Kirchhoff’s laws
and their applications.
Wheatstone bridge, Metre
bridge. Potentiometer -
principle and its
applications. |
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UNIT 13
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MAGNETIC EFFECTS OF CURRENT
AND MAGNETISM |
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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.
Cyclotron.Force on a
current-carrying conductor
in a uniform magnetic field.
Force between two parallel
current-carrying
conductors-definition of
ampere. Torque experienced
by a current loop in uniform
magnetic field; Moving coil
galvanometer, its current
sensitivity and conversion
to ammeter and
voltmeter.Current loop as a
magnetic dipole and its
magnetic dipole moment. Bar
magnet as an equivalent
solenoid, magnetic field
lines; Earth’s magnetic
field and magnetic elements.
Para-, dia- and ferro-
magnetic substances.Magnetic
susceptibility and
permeability, Hysteresis,
Electromagnets and permanent
magnets. |
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UNIT 14 |
ELECTROMAGNETIC INDUCTION
AND ALTERNATING CURRENTS
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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; Quality
factor, power in AC
circuits, wattless
current. AC generator and
transformer.
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UNIT 15 |
ELECTROMAGNETIC WAVES
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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.
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UNIT 16 |
OPTICS
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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
magnifying powers.Wave
optics: wavefront and
Huygens’ principle, Laws of
reflection and refraction
using Huygen’s 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, uses of plane polarized
light and Polaroids. |
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UNIT 17 |
DUAL NATURE OF MATTER AND
RADIATION
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Dual nature of radiation.
Photoelectric effect, Hertz
and Lenard’s observations;
Einstein’s photoelectric
equation; particle nature of
light. Matter waves-wave
nature of particle, de
Broglie relation.
Davisson-Germer experiment |
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UNIT 18 |
ATOMS AND NUCLEI
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Alpha-particle scattering
experiment; Rutherford’s
model of atom; Bohr model,
energy levels, hydrogen
spectrum.
Composition and size of
nucleus, atomic masses,
isotopes, isobars; isotones.
Radioactivity-alpha, beta
and gamma particles/rays and
their properties;
radioactive decay law.
Mass-energy relation, mass
defect; binding energy per
nucleon and its variation
with mass number, nuclear
fission and fusion. |
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UNIT 19 |
ELECTRONIC DEVICES
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Semiconductors;
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.
Junction transistor,
transistor action,
characteristics of a
transistor; transistor as an
amplifier (common emitter
configuration) and
oscillator. Logic gates (OR,
AND, NOT, NAND and NOR).
Transistor as a switch. |
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UNIT 20 |
COMMUNICATION SYSTEMS
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Propagation of
electromagnetic waves in the
atmosphere; Sky and space
wave propagation, Need for
modulation, Amplitude and
Frequency Modulation,
Bandwidth of signals,
Bandwidth of Transmission
medium, Basic Elements of a
Communication System (Block
Diagram only).
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SECTION-B |
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UNIT 21 |
EXPERIMENTAL SKILLS |
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Familiarity with the basic
approach and observations of
the experiments and
activities: |
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1. |
Vernier callipers -its use
to measure internal and
external diameter and depth
of a vessel. |
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2. |
Screw gauge-its use to
determine thickness/diameter
of thin sheet/wire. |
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3. |
Simple Pendulum-dissipation
of energy by plotting a
graph between square of
amplitude and time. |
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4. |
Metre Scale - mass of a
given object by principle of
moments. |
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5. |
Young’s modulus of
elasticity of the material
of a metallic wire. |
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6. |
Surface tension of water by
capillary rise and effect of
detergents. |
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7. |
Co-efficient of Viscosity of
a given viscous liquid by
measuring terminal velocity
of a given spherical body. |
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8. |
Plotting a cooling curve for
the relationship between the
temperature of a hot body
and time. |
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9. |
Speed of sound in air at
room temperature using a
resonance tube. |
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10. |
Specific heat capacity of a
given (i) solid and (ii)
liquid by method of
mixtures. |
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11. |
Resistivity of the material
of a given wire using metre
bridge. |
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12. |
Resistance of a given wire
using Ohm’s law. |
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13. |
Potentiometer –
(i) Comparison of emf of two
primary cells.
(ii) Determination of
internal resistance of a
cell. |
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14. |
Resistance and figure of
merit of a galvanometer by
half deflection method. |
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15. |
Focal length of:
(i) Convex mirror
(ii) Concave mirror, and
(iii) Convex lens |
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16. |
using parallax method. Plot
of angle of deviation vs
angle of incidence for a
triangular prism. |
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17. |
Refractive index of a glass
slab using a travelling
microscope. |
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18. |
Characteristic curves of a
p-n junction diode in
forward and reverse bias. |
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19. |
Characteristic curves of a
Zener diode and finding
reverse break down voltage. |
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20. |
Characteristic curves of a
transistor and finding
current gain and voltage
gain. |
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21. |
Identification of Diode,
LED, Transistor, IC,
Resistor, Capacitor from
mixed collection of such
items. |
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22. |
Using multimeter to:
(i) Identify base of a
transistor
(ii) Distinguish between npn
and pnp type transistor
(iii) See the unidirectional
flow of current in case of a
diode and an LED.
(iv) Check the correctness
or otherwise of a given
electronic component (diode,
transistor or IC). |
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CHEMISTRY
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UNIT 1 |
SOME BASIC CONCEPTS
IN
CHEMISTRY |
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Matter and its nature,
Dalton’s atomic theory;
Concept of atom, molecule,
element and compound;
Physical quantities and
their measurements in
Chemistry, precision and
accuracy, significant
figures, S.I. Units,
dimensional analysis; Laws
of chemical combination;
Atomic and molecular masses,
mole concept, molar mass,
percentage composition,
empirical and molecular
formulae; Chemical equations
and stoichiometry. |
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UNIT 2 |
STATES OF MATTER |
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Classification of matter
into solid, liquid and
gaseous states.
Gaseous State:
Measurable properties of
gases; Gas laws - Boyle’s
law, Charle’s law, Graham’s
law of diffusion, Avogadro’s
law, Dalton’s law of partial
pressure; Concept of
Absolute scale of
temperature; Ideal gas
equation, Kinetic theory of
gases (only postulates);
Concept of average, root
mean square and most
probable velocities; Real
gases, deviation from Ideal
behaviour, compressibility
factor, van der Waals
equation, liquefaction of
gases, critical constants.
Liquid State:
Properties of liquids -
vapour pressure, viscosity
and surface tension and
effect of temperature on
them (qualitative treatment
only).
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, imperfection in
solids; Electrical, magnetic
and dielectric properties. |
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UNIT 3 |
ATOMIC STRUCTURE
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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. |
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UNIT 4 |
CHEMICAL BONDING AND
MOLECULAR STRUCTURE
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Kossel:
Lewis approach to chemical
bond formation, concept of
ionic and covalent bonds.
Ionic Bonding: Formation of
ionic bonds, factors
affecting the formation of
ionic bonds; calculation of
lattice enthalpy.
Covalent Bonding:
Concept of electronegativity,
Fajan’s rule, dipole moment;
Valence Shell Electron Pair
Repulsion (VSEPR) theory and
shapes of simple molecules.
Quantum mechanical approach
to covalent bonding:
Valence bond theory - Its
important features, concept
of hybridization involving
s, p and d orbitals;
Resonance.
Molecular Orbital Theory:
Its important features,
LCAOs, types of molecular
orbitals (bonding,
antibonding), sigma and
pi-bonds, molecular orbital
electronic configurations of
homonuclear diatomic
molecules, concept of bond
order, bond length and bond
energy.
Elementary idea of metallic
bonding. Hydrogen bonding
and its applications. |
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UNIT 5 |
CHEMICAL THERMODYNAMICS
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Fundamentals of
thermodynamics: System and
surroundings, extensive and
intensive properties, state
functions, types of
processes. |
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First law of thermodynamics
- Concept of work, heat
internal energy and
enthalpy, heat capacity,
molar heat capacity; Hess’s
law of constant heat
summation; Enthalpies of
bond dissociation,
combustion, formation,
atomization, sublimation,
phase transition, hydration,
ionization and solution. |
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Second law of thermodynamics-
Spontaneity of processes; DS
of the universe and DG of
the system as criteria for
spontaneity, DGo (Standard
Gibbs energy change) and
equilibrium constant. |
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UNIT 6 |
SOLUTIONS
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Different methods for
expressing concentration of
solution - molality,
molarity, mole fraction,
percentage (by volume and
mass both), 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 - relative
lowering of vapour pressure,
depression of freezing
point, 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. |
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UNIT 7 |
EQUILIBRIUM
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Meaning of equilibrium,
concept of dynamic
equilibrium.
Equilibria involving
physical processes:
Solid -liquid, liquid - gas
and solid - gas equilibria,
Henry’s law, general
characterics of equilibrium
involving physical
processes.
Equilibria involving
chemical processes: Law
of chemical equilibrium,
equilibrium constants (Kp
and Kc) and their
significance, significance
of DG and DGo in chemical
equilibria, factors
affecting equilibrium
concentration, pressure,
temperature, effect of
catalyst; Le Chatelier’s
principle.
Ionic equilibrium:
Weak and strong
electrolytes, ionization of
electrolytes, various
concepts of acids and bases
(Arrhenius, Br?nsted - Lowry
and Lewis) and their
ionization, acid - base
equilibria (including
multistage ionization) and
ionization constants,
ionization of water, pH
scale, common ion effect,
hydrolysis of salts and pH
of their solutions,
solubility of sparingly
soluble salts and solubility
products, buffer solutions. |
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UNIT 8 |
REDOX REACTIONS AND
ELECTROCHEMISTRY
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Electronic concepts of
oxidation and reduction,
redox reactions, oxidation
number, rules for assigning
oxidation number, balancing
of redox reactions.
Eectrolytic 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. |
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UNIT 9 |
CHEMICAL KINETICS
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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, effect of temperature
on rate of reactions -
Arrhenius theory, activation
energy and its calculation,
collision theory of
bimolecular gaseous
reactions (no derivation).
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UNIT 10 |
SURFACE CHEMISTRY
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Adsorption-
Physisorption and
chemisorption and their
characteristics, factors
affecting adsorption of
gases on solids - Freundlich
and Langmuir adsorption
isotherms, adsorption from
solutions.
Catalysis-
Homogeneous and
heterogeneous, activity and
selectivity of solid
catalysts, enzyme catalysis
and its mechanism.
Colloidal state-
distinction among true
solutions, colloids and
suspensions, classification
of colloids - lyophilic,
lyophobic; multi molecular,
macromolecular and
associated colloids
(micelles), preparation and
properties of colloids -
Tyndall effect, Brownian
movement, electrophoresis,
dialysis, coagulation and
flocculation; Emulsions and
their characteristics |
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SECTION-B |
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INORGANIC CHEMISTRY |
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UNIT 11 |
CLASSIFICATON OF ELEMENTS
AND PERIODICITY IN
PROPERTIES |
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Modem periodic law and
present form of the periodic
table, s, p, d and f block
elements, periodic trends in
properties of
elementsatomic and ionic
radii, ionization enthalpy,
electron gain enthalpy,
valence, oxidation states
and chemical reactivity. |
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UNIT 12 |
GENERAL PRINCIPLES AND
PROCESSES OF ISOLATION OF
METALS |
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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. |
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UNIT 13 |
HYDROGEN |
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Position of hydrogen in
periodic table, isotopes,
preparation, properties and
uses of hydrogen; Physical
and chemical properties of
water and heavy water;
Structure, preparation,
reactions and uses of
hydrogen peroxide;
Classification of hydrides -
ionic, covalent and
interstitial; Hydrogen as a
fuel. |
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UNIT 14 |
S - BLOCK ELEMENTS (ALKALI
AND ALKALINE EARTH METALS) |
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Group - 1 and 2 Elements:
General introduction,
electronic configuration and
general trends in physical
and chemical properties of
elements, anomalous
properties of the first
element of each group,
diagonal relationships.
Preparation and properties
of some important compounds
- sodium carbonate, sodium
chloride, sodium hydroxide
and sodium hydrogen
carbonate; Industrial uses
of lime, limestone, Plaster
of Paris and cement;
Biological significance of
Na, K, Mg and Ca. |
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UNIT 15 |
P - BLOCK ELEMENTS |
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Group - 13 to Group 18
Elements
General Introduction:
Electronic configuration and
general trends in physical
and chemical properties of
elements across the periods
and down the groups; unique
behaviour of the first
element in each group.
Groupwise study of the
p–block elements Group-13:
Preparation, properties and
uses of boron and aluminium;
Structure, properties and
uses of borax, boric acid,
diborane, boron trifluoride,
aluminium chloride and
alums.
Group - 14:
Tendency for catenation;
Structure, properties and
uses of allotropes and
oxides of carbon, silicon
tetrachloride, silicates,
zeolites and silicones.
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.
Group - 16:
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.
Group - 17:
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.
Group -18:
Occurrence and uses of noble
gases; Structures of
fluorides and oxides of
xenon. |
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UNIT 16 |
d – and f – BLOCK ELEMENTS |
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Transition Elements :
General introduction,
electronic configuration,
occurrence and
characteristics, general
trends in properties of the
first row transition
elements - physical
properties, ionization
enthalpy, oxidation states,
atomic radii, colour,
catalytic behaviour,
magnetic properties, complex
formation, interstitial
compounds, alloy formation;
Preparation, properties and
uses of K2Cr2O7 and KMnO4.
Inner Transition Elements
:
Lanthanoids :
Electronic configuration,
oxidation states, chemical
reactivity and lanthanoid
contraction.
Actinoids :
Electronic configuration and
oxidation states.
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UNIT 17 |
CO-ORDINATION COMPOUNDS |
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Introduction to
co-ordination compounds,
Werner’s theory; ligands,
co-ordination number,
denticity, chelation; IUPAC
nomenclature of mononuclear
co-ordination compounds,
isomerism; Bonding-Valence
bond approach and basic
ideas of Crystal field
theory, colour and magnetic
properties; Importance of
co-ordination compounds (in
qualitative analysis,
extraction of metals and in
biological systems). |
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UNIT 18 |
ENVIRONMENTAL CHEMISTRY |
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Environmental pollution:
Atmospheric, water and soil.
Atmospheric pollution:
Tropospheric and
stratospheric
Tropospheric pollutants:
Gaseous pollutants: Oxides
of carbon, nitrogen and
sulphur, hydrocarbons; their
sources, harmful effects and
prevention; Green house
effect and Global warming;
Acid rain;Particulate
pollutants: Smoke, dust,
smog, fumes, mist; their
sources, harmful effects and
prevention.
Stratospheric pollution:
Formation and breakdown of
ozone, depletion of ozone
layer - its mechanism and
effects.
Water Pollution:
Major pollutants such as,
pathogens, organic wastes
and chemical pollutants;
their harmful effects and
prevention.
Soil pollution:
Major pollutants such as:
Pesticides (insecticides,.
herbicides and fungicides),
their harmful effects and
prevention.Strategies to
control environmental
pollution. |
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Section-C |
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Organic Chemistry |
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UNIT 19 |
Purification and
Characterisation of Organic
Compounds |
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Purification
(crystallization,
sublimation, distillation,
differential extraction,
chromatography- principles
and their applications).
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Qualitative analysis -
detection of nitrogen, sulphur, phosphorus and
halogens.
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Quantitative analysis (basic
principles only) –
estimation of carbon,
hydrogen, nitrogen,
halogens, sulphur,
phosphorus(basic principles
only) |
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Calculations of empirical
formula and molecular
formula.
|
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Numerical problems in
organic quantitative
analysis. |
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UNIT 20 |
SOME BASIC PRINCIPLES OF
ORGANIC CHEMISTRY
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Tetravalency of carbon;
Shapes of simple molecules -
hybridization (s and p);
Classification of organic
compounds based on
functional groups: - C = C -
, - C ? C - and those
containing halogens, oxygen,
nitrogen and sulphur;
Homologous series; Isomerism
- structural and
stereoisomerism. |
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Nomenclature (Trivial and
IUPAC) |
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Covalent bond fission:
Homolytic and heterolytic:
free radicals, carbocations
and carbanions; stability of
carbocations and free
radicals, electrophiles and
nucleophiles. |
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Electronic displacement in a
covalent bond:
Inductive effect,
electromeric effect,
resonance and
hyperconjugation.
Common types of organic
reactions - Substitution,
addition, elimination and
rearrangement.
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UNIT 21 |
HYDROCARBONS |
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Classification, isomerism,
IUPAC nomenclature, general
methods of preparation,
properties and reactions: |
| |
Alkanes - Conformations:
Sawhorse and Newman
projections (of ethane);
Mechanism of halogenation of
alkanes. |
| |
Alkenes - Geometrical
isomerism; Mechanism of
electrophilic addition:
addition of hydrogen,
halogens, water, hydrogen
halides (Markownikoff’s and
peroxide effect); Ozonolysis,
oxidation, and
polymerization. |
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Alkynes - Acidic character;
Addition of hydrogen,
halogens, water and hydrogen
halides; Polymerization. |
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Aromatic hydrocarbons -
Nomenclature, benzene -
structure and aromaticity;
Mechanism of electrophilic
substitution: halogenation,
nitration, Friedel – Craft’s
alkylation and acylation,
directive influence of
functional group in
mono-substituted benzene. |
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UNIT 22 |
ORGANIC COMPOUNDS CONTAINING
HALOGENS |
| |
General methods of
preparation, properties and
reactions; Nature of C-X
bond; Mechanisms of
substitution reactions.
Uses; Environmental effects
of chloroform, iodoform,
freons and DDT. |
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UNIT 23 |
ORGANIC COMPOUNDS
CONTAINING OXYGEN
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General methods of
preparation, properties,
reactions and uses.
ALCOHOLS, PHENOLS AND
ETHERS:
Alcohols:
Identification of primary,
secondary and tertiary
alcohols; mechanism of
dehydration.
Phenols:
Acidic nature, electrophilic
substitution reactions:
halogenation, nitration and
sulphonation, Reimer -
Tiemann reaction.
Ethers:
Structure.
Aldehyde and Ketones:
Nature of carbonyl group;
Nucleophilic addition to
>C=O group, relative
reactivities of aldehydes
and ketones; Important
reactions such as -
Nucleophilic addition
reactions (addition of HCN,
NH3 and its derivatives),
Grignard reagent; oxidation;
reduction (Wolff Kishner and
Clemmensen); acidity of ? -
hydrogen, aldol
condensation, Cannizzaro
reaction, Haloform reaction;
Chemical tests to
distinguish between
aldehydes and Ketones.
Carboxylic Acids:
Acidic strength and factors
affecting it. |
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UNIT 24 |
Organic Compounds Containing
Nitrogen
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General methods of
preparation, properties,
reactions and uses.
|
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Amines:
Nomenclature,
classification, structure,
basic character and
identification of primary,
secondary and tertiary
amines and their basic
character.
Diazonium Salts:
Importance in synthetic
organic chemistry. |
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UNIT 25 |
POLYMERS |
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General introduction and
classification of polymers,
general methods of
polymerization - addition
and condensation,
copolymerization; Natural
and synthetic rubber and
vulcanization; some
important polymers with
emphasis on their monomers
and uses - polythene, nylon,
polyester and bakelite. |
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UNIT 26 |
BIO MOLECULES |
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General introduction and
importance of biomolecules. |
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CARBOHYDRATES
- Classification: aldoses
and ketoses; monosaccharides
(glucose and fructose),
constituent monosaccharides
of oligosacchorides
(sucrose, lactose, maltose)
and polysaccharides (starch,
cellulose, glycogen). |
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PROTEINS
- Elementary Idea of ? -
amino acids, peptide bond,
polypeptides; Proteins:
primary, secondary, tertiary
and quaternary structure
(qualitative idea only),
denaturation of proteins,
enzymes. |
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VITAMINS
- Classification and
functions. |
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NUCLEIC ACIDS
- Chemical constitution of
DNA and RNA.
Biological functions of
nucleic acids. |
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UNIT 27 |
CHEMISTRY IN EVERYDAY LIFE |
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Chemicals in medicines:
Analgesics, tranquilizers,
antiseptics, disinfectants,
antimicrobials,
antifertility drugs,
antibiotics, antacids,
antihistamins - their
meaning and common examples.
Chemicals in food:
Preservatives, artificial
sweetening agents - common
examples.
Cleansing agents:
Soaps and detergents,
cleansing action. |
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UNIT 28 |
PRINCIPLES RELATED TO
PRACTICAL CHEMISTRY |
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► |
Detection of extra elements
(N,S, halogens) in organic
compounds; Detection of the
following functional groups:
hydroxyl (alcoholic and
phenolic), carbonyl (aldehyde
and ketone), carboxyl and
amino groups in organic
compounds. |
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► |
Chemistry involved in the
preparation of the
following:
Inorganic compounds: Mohr’s
salt, potash alum.
Organic compounds:
Acetanilide, p-nitroacetanilide,
aniline yellow, iodoform. |
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► |
Chemistry involved in the
titrimetric excercises -
Acids bases and the use of
indicators, oxalic-acid vs
KMnO4, Mohr’s salt vs KMnO4. |
|
► |
Chemical principles involved
in the qualitative salt
analysis:
Cations - Pb2+ , Cu2+, AI3+,
Fe3+, Zn2+, Ni2+, Ca2+,
Ba2+, Mg2+, NH4+.
Anions- CO32-, S2-, SO42-,
NO2-, NO3-, CI-, Br, I.
(Insoluble salts excluded). |
|
► |
Chemical principles involved
in the following
experiments: |
|
1. |
Enthalpy of solution of
CuSO4 |
|
2. |
Enthalpy of neutralization
of strong acid and strong
base. |
|
3. |
Preparation of lyophilic and
lyophobic sols. |
|
4. |
Kinetic study of reaction of
iodide ion with hydrogen
peroxide at room
temperature. |
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Syllabus for Aptitude
Test B Arch / B Planning
|
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Part I |
Awareness of persons,
places, Buildings,
Materials.) Objects, Texture
related to Architecture and
build~ environment.
Visualising three
dimensional objects from two
dimensional drawings.
Visualising. different sides
of three dimensional
objects. Analytical
Reasoning Mental Ability
(Visual, Numerical and
Verbal). |
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Part II |
Three dimensional -
perception: Understanding
and appreciation of scale
and proportion of objects,
building forms and elements,
colour texture, harmony and
contrast. Design and drawing
of geometrical or abstract
shapes and patterns in
pencil. Transformation of
forms both 2 D and 3 D
union, substraction,
rotation, development of
surfaces and volumes,
Generation of Plan,
elevations and 3 D views of
objects. Creating two
dimensional and three
dimensional compositions
using given shapes and
forms. |
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Sketching of scenes and
activities from memory of
urban-scape (public space,
market, festivals, street
scenes, monuments,
recreational spaces etc.),
landscape (river fronts,
jungles, gardens, trees,
plants etc.) and rural life.
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Note: |
Candidates are advised to
bring pencils, own geometry
box set, erasers and colour
pencils and crayons for the
Aptitude Test.
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Welcome to the home page
of AIEEE- 2009. Keep watching this
page for all the recent updates in
AIEEE-2009 |
|
For more Information you
can contact :- |
|
The Assistant
Secretary (AIEEE Unit)
Central Board of Secondary Education
PS 1-2, Institutional Area
IP Extension, Patparganj
Delhi 110 092
Telephone : 011-22239177-80
Extn. 110, 151 & 157
011-22246095, 22246087
Fax : 011-22246095, 22235775
Email Id: pitams.cbse@nic.in |
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