Admissions
to the undergraduate programmes (B.Tech.) at IIST for the year 2012
will be made through an All India Admission Test (ISAT-2012). A brief
information about ISAT – 2012 is given below. More detailed information
will be available at the ISAT-2012 website from 8th November 2011.
All questions will be of objective type and will consist of three
separate sections in Physics, Chemistry and Mathematics. The answer for
each question is to be recorded on a specially designed machine-gradable
sheet of paper.
Correct answers will be awarded three marks each. Every incorrect answer will be awarded one negative mark.
Candidates must make sure that they satisfy all the eligibility conditions given below for appearing in ISAT-2011:
1. Citizenship
Only Indian citizens are eligible to write ISAT-2012.
2. Date of Birth
The date of birth of candidates belonging to GEN, OBC categories should be on or after October 1, 1987, while the date of birth of those belonging to SC, ST and PD categories should be on or after October 1, 1982.
(The date of birth as recorded in the high school/first Board/ Pre-University certificate/or its equivalent will be accepted).
3. Year of passing Qualifying Examination (QE)
A candidate must have passed the QE for the first time, in the calendar year 2011 or 2012. Those who are going to appear in the QE after July 1, 2012 or expecting the results of QE later than July 1, 2012 are not eligible to apply for ISAT-2012.
4. Minimum Percentage of Marks in Class X or equivalent examination.
Candidates
belonging to GEN and OBC categories must secure at least 70% marks in
aggregate in their Class X or equivalent examination, while, those
belonging to SC, ST and PD categories must secure at least 60% marks in
aggregate in their Class X or equivalent examination.
5. Minimum Percentage of Marks in 10 + 2 or equivalent examination
Candidates
belonging to GEN and OBC categories must secure at least 70% marks in
the aggregate in their Physics, Chemistry and Mathematics (PCM) papers
in their QE, while, those belonging to SC,ST and PD categories must
secure at least 60% marks in the aggregate in their PCM papers in their
QE.
6. RESERVATION OF SEATS
As
per Government of India rules candidates belonging to certain
categories are admitted to seats reserved for them based on relaxed
criteria. These categories are:
* Scheduled Castes (SC)
* Scheduled Tribes (ST)
* Other Backward Castes (OBC) belonging to Non-Creamy Layer (NCL)
* Physically Disabled (PD) candidates.
The candidate has to choose any three different cities, in the order of preference, from the following 30 Test Centres:
Ahmedabad, Allahabad, Bangalore, Bhopal, Calicut, Chandigarh, Chennai,
Cuttack, Dehradun, Delhi, Dispur, Hubli, Hyderabad, Imphal, Jaipur,
Jodhpur, Kolkata, Lucknow, Madurai, Mumbai, Nagpur, Panaji, Patna,
Ranchi, Raipur, Shillong, Silchar, Srinagar, Thiruvananthapuram and
Visakhapatnam.
The
total number of seats for the undergraduate programmes in IIST for the
year 2011 is 156. The branch-wise distribution of seats is as follows:
B.Tech. in Aerospace Engineering: 59 seats
B.Tech. in Avionics: 58 seats
B.Tech. in Physical Sciences: 39 seats
B.Tech in Aerospace
B.Tech in Avionics
B.Tech in Physical
Mechanics
1. Units and Measurements : The international
system of units, Measurement of Length, mass and time, Accuracy,
precision of instruments and errors in measurement, Significant figures,
Dimension of physical quantities, Dimensional formulae and equations,
Dimensional analysis and its applications.
2. Motion in a straight
line : Position, path length and displacement, Average velocity and
speed, Instantaneous velocity and speed, Acceleration, Kinematic
equations for uniformly accelerated motion, Relative velocity
3.
Motion in a plane : Scalars and Vectors, Multiplication of vectors by
real numbers, Addition and Subtraction of vectors- graphical method,
Resolution of vectors, Vector addition – analytical method, Motion in a
plane, Motion in a plane with constant acceleration, Relative velocity
in two dimensions, projectile motion, Uniform circular motion.
4.
Laws of motion : The law of inertia, Newton’s first, second and third
law of motion, Conservation of momentum, Equilibrium of particle, Common
forces in mechanics, Circular motion
5. Work, Power and Energy : The
work energy theorem, Kinetic and Potential energy, Work-Energy theorem
for variable force, The conservation of mechanical energy, Power, The
potential energy of a spring, Collisions
6. System of particles and
rotational motion : Centre of mass, Motion of centre of mass, Linear
momentum of a system of particles, vector product of two vectors,
Angular velocity and linear velocity relations, Torque and angular
momentum, Equilibrium of a rigid body, Moment of Inertia, Theorem of
perpendicular and parallel axes, Kinematics and Dynamics of rotational
motion about a fixed axis, Angular momentum in case of rotation about a
fixed axis, Rolling motion
7. Gravitation : Kepler’s laws, Universal
law of gravitation, gravitation constant, Acceleration due to gravity of
the earth, Acceleration due to gravity below and above the surface of
earth, Gravitational potential energy
Electromagnetism
1.
Electric charges and Fields : Electric charges, Conductors and
Insulators, Basic properties of electric charge, Coulomb’s law, Force
between multiple charges, Electric field and flux, Electric dipole,
Continuous charge distribution, Gauss’s law and its applications
2.
Electrostatic Potential and capacitance : Electrostatic potential,
Potential due to a point charge and systems of charges, Potential due to
an electric dipole, Equipotential surfaces, Potential energy in an
external field, Electrostatics ofconductors, Dielectric and
polarization, Capacitors and capacitance, The parallel plate capacitor,
Combination of capacitors, Energy stored in a capacitor
3. Current
Electricity : Electric current, Electric currents in conductors, Ohm’s
law, Drift of electrons and origin of resistivity, Resistivity and its
temperature dependence, Electrical energy and power, Combination of
resistors (Series and Parallel) , Cells, emf, internal resistance, Cells
in series and parallel, Kirchoff’s laws, Wheatstone bridge, Meter
bridge, and Potentiometer
4. Moving charges and Magnetism : Magnetic
force, Motion in a magnetic field, Motion in a combined electric and
magnetic fields, Magnetic field due to a current element and Biot-Savart
law, Magnetic field on the axis of a circular current loop, Ampere’s
circuital law, The solenoid and toroid, Force between, two parallel
currents, Torque and current loop and Magnetic dipole, The moving coil
Galvanometer
5. Magnetism and Matter : The bar magnet, The earth’s
magnetism, Magnetic properties of materials, Permanent magnets and
electromagnets
6. Electromagnetic induction : Magnetic flux,
Faraday’s law of induction, Lenz’s law and conservation of energy,
Motional electromagnetic force, Energy consideration : A quantitative
study, Inductance and AC Generator
7. Alternating current : AC
Voltage applied to a resistor, an inductor, a capacitor, Ac Voltage
applied to a series LCR circuit, Power in AC Circuit, LC Oscillations,
Transformers
Optics and Waves
1. Ray Optics and
Optical Instruments : Reflection of light by spherical mirrors,
refraction, Total internal reflection, Refraction at Spherical surfaces
and by Lenses, Refraction through a Prism, Dispersion by a prism, Some
natural phenomenon due to a sunlight, Optical instruments,
2. Wave
Optics : Huygens Principle, Refraction and reflection of plane waves
using Huygens Principle, Coherent and Incoherent addition of waves,
Interference of light waves and Young’s experiment, Diffraction,
Polarisation
3. Oscillations : Periodic and oscillatory motions,
Simple harmonic motion and uniform circular motion, Velocity and
acceleration in simple harmonic motion, Force and energy in simple
harmonic motion, Damped SHM and forced oscillations and resonance
4.
Waves : Transverse and longitudinal waves, Displacement and speed of a
traveling wave, Principle of superposition of waves, Reflection of
waves, Beats, Doppler effect
5. Dual nature of radiation and matter :
Photoelectric effect, Wave theory of light and particle nature of
light, Wave nature of matter
Properties of Matter, Thermodynamics
1.
Mechanical properties of solids : Elastic behavior of solids, Stress
and strain, Hooke’s law, Applications of elastic behavior of materials
2.
Mechanical properties of fluids : Pressure, Streamline flow,
Bernoulli’s principle, Viscosity, Reynold’s number, Surface tension
3.
Thermal properties of matter : Temperature and heat, Measurement of
Temperature, Ideal-gas equation and absolute temperature, Thermal
expansion, Specific heat capacity, Calorimetry, Change of state, Heat
Transfer, Newton’s law of cooling
4. Thermodynamics : Thermal
equilibrium, Zeroth law of thermodynamics, Heat, Internal energy and
work, First law of thermodynamics, Specific heat capacity, Thermodynamic
state variables and equation of state, Thermodynamic processes, Heat
engines, Refrigerators and heat pumps, Second law of thermodynamics,
Reversible and irreversible processes, Carnot engine
5. Kinetic
theory : Molecular nature of matter, Behavior of gases, Kinetic theory
of an ideal gas, Law of equipartition of energy, Mean free path
Laboratory related questions
1.
Vernier calipers, Screw gauge measurements, Traveling microscopes,
Spectrometers, Meter bridges, Potentiometers and Wheatstone bridge,
Minimum deviation measurements, Refraction and reflection of light
experiments etc, Galvanometer, Ammeter, Voltmeter
Inorganic Chemistry
Basic Concepts of Chemistry
Particulate nature of matter, laws of chemical combination, Dalton’s
atomic theory: concept of elements, atoms and molecules. Atomic and
molecular masses, molecular formula, stoichiometry. Structure of Atom
Atomic number, isotopes and isobars. Different atomic models and
limitations, shells and sub-shells, dual nature of matter and light, de
Broglie’s relationship, Heisenberg uncertainty principle, orbitals,
quantum numbers, shapes of s, p, and d orbitals, Aufbau principle, Pauli
exclusion principle and Hund’s rule, electronic configuration of atoms,
stability of half filled and completely filled orbitals.
Classification of Elements and Periodicity in Properties Periodic table, periodic trends in properties of elements
Chemical Bonding and Molecular Structure
Valence electrons, ionic bond, covalent bond, bond parameters, Lewis
structure, polar character of covalent bond, covalent character of ionic
bond, valence bond theory, resonance, geometry of covalent molecules,
VSEPR theory, hybridization involving s, p and d orbitals and shapes of
some simple molecules, molecular orbital theory of homonuclear diatomic
molecules Hydrogen
Occurrence, isotopes, preparation, properties and uses of hydrogen
and its compounds. s-Block Elements (Group 1 and Group 2 elements)
Electronic configuration, occurrence, anomalous properties of the
first element of each group, diagonal relationship, trends in the
variation of properties and in chemical reactivity, uses. Preparation
and properties of compounds of Na, Ca, Mg and their biological
importance.
p-Block Elements
General Introduction to p-Block Elements Elements of Group 13, 14 15,16, 17and 18
Electronic configuration, occurrence, variation of properties,
oxidation states, trends in chemical reactivity, anomalous properties of
first element of the group. Chemical and physical properties of boron,
aluminium, carbon, silicon, nitrogen, phosphorous, oxygen, sulphur,
halogens and important compounds of the elements.
d and f Block Elements
Electronic configuration, occurrence and characteristics of
transition metals, general trends in properties of the first row
transition metals.
General Principles and Processes of Isolation of Elements
Concentration, oxidation, reduction electrolytic method and refining;
occurrence and principles of extraction of aluminium, copper, zinc and
iron.
Lanthanides: Electronic configuration, oxidation states, chemical reactivity and lanthanide contraction.
Actinides: Electronic configuration, oxidation states.
Coordination compounds: Ligands, coordination number, colour,
magnetic properties and shapes, IUPAC nomenclature of mononuclear
coordination compounds, bonding; isomerism, importance of coordination
compounds.
Physical Chemistry
States of Matter
Three states of matter, intermolecular interactions, type of bonding,
melting and boiling points, molecular, ionic, covalent and metallic
solids, amorphous and crystalline solids, unit cell in two dimensional
and three dimensional lattices, calculation of density of unit cell,
packing in solids, voids, number of atoms per unit cell in a cubic unit
cell, point defects, electrical and magnetic properties. Boyle’s law,
Charles’ law, Gay Lussac’s law, Avogadro’s law, ideal behaviour,
empirical derivation of gas equation, Avogadro’s number, ideal gas
equation, deviation from ideal behaviour, liquefaction of gases,
critical temperature. Liquid State.
Solutions
Types of solutions, solubility of gases in liquids, solid solutions,
colligative properties -relative lowering of vapour pressure, elevation
of boiling point, depression of freezing point, osmotic pressure,
determination of molecular masses
Thermodynamics
Systems, surroundings, work, heat, energy, extensive and intensive
properties, state functions. First law of thermodynamics – internal
energy and enthalpy, heat capacity and specific heat, measurement of AU
and AH, Hess’s law of constant heat summation, enthalpy of: bond
dissociation, combustion, formation, atomization, sublimation, phase
transition, ionization, and dilution. Entropy as a state function, free
energy change for spontaneous and nonspontaneous process, equilibrium.
Equilibrium
Equilibrium in physical and chemical processes, dynamic nature of
equilibrium, law of mass action, equilibrium constant, factors affecting
equilibrium – Le Chatelier’s principle; ionic equilibrium -ionization
of acids and bases, strong and weak electrolytes, degree of ionization,
concept of pH. Hydrolysis of salts, buffer solutions, solubility
product, common ion effect.
Redox Reactions
Redox reactions, oxidation number, balancing redox reactions, applications of redox reactions.
Electrochemistry
Conductance in electrolytic solutions, specific and molar
conductivity variations of conductivity with concentration, Kohlrausch’s
Law, electrolysis and laws of electrolysis, dry cell – electrolytic
cells and Galvanic cells; lead accumulator, EMF of a cell, standard
electrode potential, Nernst equation and its application to chemical
cells, fuel cells; corrosion.
Chemical Kinetics
Rate of a reaction, factors affecting rates of reaction, order and
molecularity of a reaction; rate law and specific rate constant,
integrated rate equations and half life (only for zero and first order
reactions); concept of collision theory.
Surface Chemistry
Physisorption and chemisorption; factors affecting adsorption of
gases on solids; catalysis: homogenous and heterogeneous, activity and
selectivity: enzyme catalysis; colloidal state: distinction between true
solutions, colloids and suspensions, Tyndall effect, Brownian movement,
electrophoresis, coagulation; emulsions – types of emulsions.
Nuclear chemistry: Radioactivity: isotopes and isobars; Properties of
a, P, and y rays; Kinetics of radioactive decay (decay series
excluded), carbon dating; Stability of nuclei with respect to
proton-neutron ratio; fission and fusion reactions.
Organic Chemistry
Basic Principles and Techniques
Methods of purification, qualitative and quantitative analysis,
classification and IUPAC nomenclature of organic compounds. Electronic
displacements in a covalent bond: inductive effect, electromeric effect,
resonance and hyper conjugation. Homolytic and heterolytic fission of a
covalent bond: free radicals, carbocations, carbanions; electrophiles
and nucleophiles, types of organic reactions.
Hydrocarbons
Alkanes, alkenes and alkynes: Nomenclature, isomerism, physical
properties, methods of preparation. Conformations (ethane only),
structure of double bond (ethene), geometrical isomerism, structure of
triple bond (ethyne), chemical reactions.
Aromatic hydrocarbons: Introduction, IUPAC nomenclature; Benzene:
resonance, aromaticity; chemical properties: mechanism of electrophilic
substitution, influence of functional group in mono-substituted benzene.
Haloalkanes and haloarenes: Nomenclature, nature of C-X bond,
physical and chemical properties, mechanism of substitution reactions,
environmental effects of compounds
Alcohols, Phenols and Ethers
Nomenclature, methods of preparation, physical and chemical
properties, uses. Identification of primary, secondary and tertiary
alcohols, mechanism of dehydration. Acidic nature of phenol,
electrophilic substitution reactions.
Aldehydes, Ketones and Carboxylic Acids Aldehydes and Ketones:
Nomenclature, nature of carbonyl group, methods of preparation, physical
and chemical
SETS, RELATIONS AND FUNCTIONS:
Sets and their representation;
Union, intersection and complement of sets and their algebraic
properties; Power set; Relation, Types of relations, equivalence
relations, functions;. one-one, into and onto functions, composition of
functions.
COMPLEX NUMBERS AND QUADRATIC EQUATIONS:
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.
PERMUTATIONS AND COMBINATIONS:
Fundamental
principle of counting, permutation as an arrangement and combination as
selection, Meaning of P (n,r) and C (n,r), simple applications.
MATHEMATICAL INDUCTION:
Principle of Mathematical Induction and its simple applications.
BINOMIAL THEOREM AND ITS SIMPLE APPLICATIONS:
Binomial
theorem for a positive integral index, general term and middle term,
properties of Binomial coefficients and simple applications.
SEQUENCES AND SERIES:
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.
LIMIT, CONTINUITY AND DIFFERENTIABILITY:
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 up to 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.
INTEGRAL CALCULUS:
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.
Differential Equations:
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 of the type:
dy/dx + p (x) y = q (x)
CO-ORDINATE GEOMETRY:
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.
Straight lines
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.
Circles, conic sections
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.
Three Dimensional Geometry:
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.
MATRICES AND DETERMINANTS:
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.
Vector Algebra:
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.
Trigonometry:
Trigonometrical
identities and equations. Trigonometrical functions. Inverse
trigonometrical functions and their properties. Heights and Distances.
STATISTICS AND PROBABILITY:
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.
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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