BITSAT Model Paper (code: A5TY) Syllabus

7/30/2019 BITSAT Model Paper (code: A5TY) Syllabus

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1BITSAT Model paper (code: A5TY) syllabus

Chemistry:

General topics: Concept of atoms andmolecules; Daltons atomic theory; Moleconcept; Chemical formulae; Balancedchemical equations; Calculations (based onmole concept) involving common oxidationreduction,neutralisation, and displacementreactions; Concentration in terms of molefraction, molarity, molality and normality

Gaseous and liquid states: Absolute scale oftemperature, ideal gas equation; Deviationfrom ideality, van der Waals equation; Kinetictheory of gases; Average, root mean squareand most probable velocities and their relationwith temperature; Law of partial pressures;Vapour pressure; Diffusion of gases.

Atomic structure and chemical bonding:Bohr model, spectrum of hydrogen atom,quantum numbers; Wave-particle duality, deBroglie hypothesis; Uncertainty principle;Qualitative quantum mechanical picture of

hydrogen atom, shapes of s, p and d orbitals;Electronic configurations of elements (up toatomic number 36); Aufbau principle; Paulisexclusion principle and Hunds rule; Orbitaloverlap and covalent bond; Hybridisation(involving s, p and d orbitals only); Orbitalenergy diagrams for homonuclear diatomicspecies; Hydrogen bond; Polarity inmolecules, dipole moment (qualitative aspectsonly); VSEPR model and shapes of molecules(linear, angular, triangular, square planar,pyramidal, square pyramidal, trigonalbipyramidal, tetrahedral and octahedral).

Energetics: First law of thermodynamics;

Internal energy, work and heat, pressurevolumework; Enthalpy, Hesss law; Heat ofreaction, fusion and vapourization; Second lawof thermodynamics; Entropy; Free energy;Criterion of spontaneity.Chemical equilibrium: Law of mass action;Equilibrium constant, Le Chateliers principle(effect of concentration, temperature andpressure); Significance of G and Go inchemical equilibrium; Solubility product,common ion effect, pH and buffer solutions; Acids andbases (Bronsted and Lewisconcepts); Hydrolysis of salts.

Preparation and properties of the following

compounds: Oxides, peroxides, hydroxides,carbonates, bicarbonates, chlorides andsulphates of sodium, potassium, magnesiumand calcium; Boron: diborane, boric acid andborax; Aluminium: alumina, aluminium chlorideand alums; Carbon: oxides and oxyacid(carbonic acid); Silicon: silicones, silicates andsilicon carbide;

Hydrogen, water, ozone, peroxide, Heavy water

Organic Chemistry Concepts: Hybridisation of carbon;Sigma andpi-bonds; Shapes of simple organic molecules;Structural and geometrical isomerism; Optical

isomerism of compounds containing up to twoasymmetric centres, (R,S and E,Znomenclature excluded); IUPAC nomenclatureof simple organic compounds (onlyhydrocarbons, mono-functional and bifunctionalcompounds); Conformations ofethane and butane (Newman projections);Resonance and hyperconjugation; Keto-enoltautomerism; Determination of empirical andmolecular formulae of simple compounds (onlycombustion method); Hydrogen bonds:definition and their effects on physical

properties of alcohols and carboxylic acids;Inductive and resonance effects on acidity andbasicity of organic acids and bases; Polarityand inductive effects in alkyl halides; Reactiveintermediates produced during homolytic andheterolytic bond cleavage; Formation,structure and stability of carbocations,carbanions and free radicals.Preparation, properties and reactions of

alkanes: Homologous series, physicalproperties of alkanes (melting points, boilingpoints and density); Combustion andhalogenation of alkanes; Preparation ofalkanes by Wurtz reaction and decarboxylationreactions.Preparation, properties and reactions ofalkenes and alkynes: Physical properties ofalkenes and alkynes (boiling points, densityand dipole moments); Acidity of alkynes; Acidcatalysed hydration of alkenes and alkynes(excluding the stereochemistry of addition andelimination); Reactions of alkenes with KMnO4and ozone; Reduction of alkenes and alkynes;Preparation of alkenes and alkynes by

elimination reactions; Electrophilic additionreactions of alkenes with X2, HX, HOX andH2O (X=halogen); Addition reactions ofalkynes; Metal acetylides.Reactions of benzene: Structure andaromaticity; Electrophilic substitution reactions:halogenation, nitration, sulphonation, Friedel-Crafts alkylation and acylation; Effect of o-, mandp-directing groups in monosubstitutedbenzenes.

Environmental Chemistry: Environmental pollution,

Atmospheric pollution, water polltuion, Industrial waste,

Green Chemistry


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Mathematics:

Algebra: Algebra of complex numbers,addition, multiplication, conjugation, polarrepresentation, properties of modulus and

principal argument, triangle inequality, cuberoots of unity, geometric interpretations.Quadratic equations with real coefficients,relations between roots and coefficients,formation of quadratic equations with givenroots, symmetric functions of roots.Arithmetic, geometric and harmonicprogressions, arithmetic, geometric andharmonic means, sums of finite arithmetic andgeometric progressions, infinite geometricseries, sums of squares and cubes of the first nnatural numbers.Logarithms and their properties.Matrices as a rectangular array of realnumbers, equality of matrices, addition,

multiplication by a scalar and product ofmatrices, transpose of a matrix, determinant ofa square matrix of order up to three, inverse ofa square matrix of order up to three, propertiesof these matrix operations, diagonal, symmetricand skew-symmetric matrices and theirproperties, solutions of simultaneous linearequations in two or three variables.Trigonometry: Trigonometric functions, theirperiodicity and graphs, addition and subtractionformulae, formulae involving multiple and submultipleangles, general solution oftrigonometric equations.Relations between sides and angles of atriangle, sine rule, cosine rule, half-angle

formula and the area of a triangle, inversetrigonometric functions (principal value only).Analytical geometry (2 dimensions):Cartesian coordinates, distance between twopoints, section formulae, shift of origin.Equation of a straight line in various forms,angle between two lines, distance of a pointfrom a line; Lines through the point ofintersection of two given lines, equation of thebisector of the angle between two lines,concurrency of lines; Centroid, orthocentre,incentre and circumcentre of a triangle.Differential calculus: Real valued functions ofa real variable, into, onto and one-to-onefunctions, sum, difference, product andquotient of two functions, composite functions,absolute value, polynomial, rational,trigonometric, exponential and logarithmicfunctions.Limit and continuity of a function, limit andcontinuity of the sum, difference, product andquotient of two functions, LHospital rule ofevaluation of limits of functions.Even and odd functions, inverse of a function,continuity of composite functions, intermediatevalue property of continuous functions.Derivative of a function, derivative of the sum,difference, product and quotient of twofunctions, chain rule, derivatives of polynomial,rational, trigonometric, inverse trigonometric,exponential and logarithmic functions.Derivatives of implicit functions, derivatives upto order two, geometrical interpretation of thederivative, tangents and normals, increasingand decreasing functions, maximum andminimum values of a function, Rolles Theoremand Lagranges Mean Value Theorem.


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Physics:

General: Units and dimensions, dimensionalanalysis; least count, significant figures;Methods of measurement and error analysis for

physical quantities pertaining to the followingexperiments: Experiments based on usingVernier calipers and screw gauge(micrometer), Determination of g using simplependulum, Youngs modulus by Searlesmethod, Specific heat of a liquid usingcalorimeter, focal length of a concave mirrorand a convex lens using u-v method, Speed ofsound using resonance column, Verification ofOhms law using voltmeter and ammeter, andspecific resistance of the material of a wireusing meter bridge.Mechanics: Kinematics in one and twodimensions (Cartesian coordinates only),projectiles; Uniform Circular motion; Relativevelocity.Newtons laws of motion; Inertial and uniformlyaccelerated frames of reference; Static anddynamic friction; Kinetic and potential energy;Work and power; Conservation of linearmomentum and mechanical energy.Systems of particles; Centre of mass and itsmotion; Impulse; Elastic and inelastic collisions.Law of gravitation; Gravitational potential andfield; Acceleration due to gravity; Motion ofplanets and satellites in circular orbits; Escapevelocity.Rigid body, moment of inertia, parallel andperpendicular axes theorems, moment ofinertia of uniform bodies with simplegeometrical shapes; Angular momentum;Torque; Conservation of angular momentum;Dynamics of rigid bodies with fixed axis ofrotation; Rolling without slipping of rings,14

cylinders and spheres; Equilibrium of rigidbodies; Collision of point masses with rigidbodies.Linear and angular simple harmonic motions.Hookes law, Youngs modulus.Pressure in a fluid; Pascals law; Buoyancy;Surface energy and surface tension, capillaryrise; Viscosity (Poiseuilles equation excluded),Stokes law; Terminal velocity, Streamline flow,equation of continuity, Bernoullis theorem and

its applications.Wave motion (plane waves only), longitudinaland transverse waves, superposition of waves;Progressive and stationary waves; Vibration ofstrings and air columns; Resonance; Beats;Speed oThermal physics: Thermal expansion ofsolids, liquids and gases; Calorimetry, latentheat; Heat conduction in one dimension;Elementary concepts of convection andradiation; Newtons law of cooling; Ideal gaslaws; Specific heats (Cv and Cp formonoatomic and diatomic gases); Isothermaland adiabatic processes, bulk modulus ofgases; Equivalence of heat and work; First law

of thermodynamics and its applications (onlyfor ideal gases); Blackbody radiation:absorptive and emissive powers; Kirchhoffslaw; Wiens displacement law, Stefans law.


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English and logical reasoning:

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BITSAT Model Paper (code: A5TY) Syllabus