Bihar Polytechnic Lateral Entry Syllabus | PDF Download
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15/04/2023
Bihar Polytechnic Lateral Entry Syllabus | PDF Download – Students who are applied for Bihar Polytechnic Lateral Entrance Exam 2023 and looking for its syllabus can Download Syllabus PDF from here by just clicking on the link. Bihar Polytechnic Lateral Exam Important Topics with details are given below.
conductor). Conductors and insulators, Concept of polarization and dielectric constant, Electrostatic induction,
Capacitance, parallel plate, cylindrical and spherical capacitors, grouping of capacitors, Energy of capacitors,
loss of energy due to sharing of charge Van de Graff generator.
16. Current Electricity
Concept of Drift velocity and Mobility, Current density and electric current, Ohm’s law, resistivity, conductivity
of various materials, zero conductivity and superconductivity (elementary idea). Carbon resistors and their
colour code, temperature dependence of resistance, Kirchoff’s current and voltage laws and their simple
applications, Whetstone bridge and its application in meter bridge, Principle of Potentiometer and its application
for comparison of emf.
17. Thermal and Chemical effect of current
Heating effect of current Joule’s law, Thermocouple, elementary idea of Seebeck, peltier and Thomson effect,
Faraday’s law of electrolysis and their verification, Dry cell, Lead accumulator, Nickel-cadmium cell, Button
cells.
18. Magnetic effect of current
Oersted’s experiment. Biot Savart law, magnetic field due to a straight ware and a circular loop carrying
current, magnetic field due to a solenoid, Moving coil galvanometer and its conversion in to an ammeter and
a voltmeter. Force on a conductor carrying current, torque on a current loop in a magnetic field, force between
two parallel conductors carrying current, definition of Ampere.
19. Electromagnetic Induction and Alternating Current
Faraday’s and Lenz’s lays self and mutual induction- deduction of coefficients, eddy currents, Induced emf in
a coil rotating in a uniform magnetive field. Alternative voltage and current, RMS, Peak and average values of
voltage and current Reactance and impedance for L, C and R, Behaviour of circuits with L,C and R (Phasor
diagrams only), Power factor, resonant circuits, Q-factor. Electrical machines and devices- transformer, AC
Generator, Choke and starter.
20. Magnetism
Properties of bar magnets, field and potential due to a magnetic dipole, Current loop as a magnetic dipole,
torque on a magnetic dipole placed in a uniform magnetic field lones, Comparison of magnetic fields due to a
bar magnet and a solenoid carrying current. Earth’s magnetic field and elementary idea about its origin, Para
dia and ferromagnetic substances with examples, Electomagnets and permanent magnets, elementary idea
about modern theory of magnetism.
21. Electromagnetic waves (Qualitative treatment)
History of electromagnetic waves ( Contributions of Maxwell, Hertz, Bose, Marconi), Electromagnetic spectrum
( radiowaves, microwave infrared, optical, ultraviolet, x-ray and Gamma rays). Simple ideas about their properties
and applications.
22. Atomic and Nuclear Physics
Discovery of electron, Rutherford scattering experiment, Bohr model of atom, hydrogen spectrum, Photoelectric
effect, particle nature of light, Einstein’s photoelectric equation, photocell, matter waves, De Broglie relation.
Composition of nucleus, Size of nucleus, atomic number and mass number, mass-energy per nucleon with
mass number, Radioactivity, α, β, and γ rays. Simple explanation of α, β, and γ decay. Radioactive decay law,
half life and mean life, nature of nuclear forces, nuclear fission and fusion.
23. Semiconductor devices
Energy bands in solids, band gap conductors semiconductors and insulators, P-n junction semiconductor
diode, diole as a rectifier, solar cell, LED, Junction transistor, transistor action, collector amplifiers ( elementary
idea), Logic gates (AND, OR and NOT gates) and combination of gats NAND and NOR), Binary number
system and Boolean algebra, Truth table.
24. Basics of Communication (Qualitative treatment)
Analog and digital signals and their mutual conversion, Amplitude, Frequency and pulse modulation
and their demodulation, Principles of digital transmission and retrieval of information, Fax and Modem.
Space communication-Propagation of electromagnetic waves in the atmosphere, Sky and space wave
propagation, Satellite communication, Applications in Remote Sensing. Line communication two wire lines,
cables, telephone links, Optical communication-optical fibres, Basic principles of Lasers and their applications,
elementary principles of light modulation.
DECE LE Math Syllabus
1. Set Theory
Sets and their representation, Finite and infinite sets, Empty Set, Equal sets, (Union, Intersection and Difference).
Application of sets, ordered pairs, Cartesian product of sets, Relations, domain, co-domain and range, function-into and onto functions, One-one into and one-one onto functions, constant functions,
Identity functions, composition of functions, Invertible functions, Binary operations.
2. Boolean Algebra
Boolean Algebra as an algebraic structure, Principle of duality, Boolean functions, conditional and biconditional statements, valid arguments, switching circuits, Applications of Boolean algebra to switching circuits.
3. Mathematical Logic
Statements, use of venn diagram in logic, Negation operation. Basic logical connectives and compound statements including their negations, Truth tables, Tautology, Duality, Algebra of statements
Application of logic in solving simple problems.
4. Algebra
complex numbers, representation of complex numbers as points on Agrand Plane, algebra of complex numbers, real and imaginary parts, modulus and argument of complex numbers. Triangle inequality, Polar representations of complex numbers. Square root of a complex number, cube roots of unit, De-moivre’s Theorem with application to find the nth rooth of a complex number. Sequence and examples of finite and infinite sequences.
5. Quadratic equations and expressions
Revision of “Solutions of Quadratic Equations by factorizations and by using formula, Relations between roots and coefficients, nature of Roots, Formation of Quadratic equations with given roots”.
Symmetric functions of roots, equations reducible to quadratic forms, extreme values of quadratic expressions in one variable, conditions for resolutions into linear factors of a quadratic expressions in two variables.
Permutations and combinations and problems based on them, principle of mathematical Induction and simple applications.
Binomial theorem : Statements, Proof of Binomial theorem for positive integral index and problems, statements only of Binomial theorem for any index, exponentials functions and logarithmic functions
6. Matrices and Determinants
Concepts of a matrix, types of matrices, equality of Matrices (only real entries).
Addition, scalar multiplication and multiplication of matrices, statements and important results on operations of matrices.
Determinants of square matrix, properties of determinants, Minors and cofactors, solving system of linear equations, Transpose, adjoint and inverse of matrix.
Consistency and inconsistency of system of a linear equations in 2 and 3 variable using inverse of a matrix.
7. Trigonometry
Definition of trigonometric functions, periodic functions, concept of periodic of trigonometric functions, values of trigonometric functions of particular values of x. Compound angles, multiple and submultiple angles, Tansformation formula. Conditional identities.”
Graphs of sine, cosine, tangent and their reciprocal functions.
General solutions of trigonometrical equations and inverse circular functions.
Properties of triangles
Logarithms
height and distances
8. Two Dimensional co-ordinate Geometry —
Cartesian system of co-ordinates, Distance formula, Area of a triangle, conditions of colinearity of 3 points, section formula, centre locus and in centre locus and its equation.
Standard general equation of a straight line, Intersection of Lines, Equations of bisectors of angle between two straight lines. Angle between two line, concurrency of 3 lines, distances of a point from a line.
Translation and rotation of axes, Equation of family of lines through and intersection of two lines. Equation of a circle, general equation of a circle equation of tangent, normal and chord to a circle.
Parametric equation of a circle intersection of a circle with a straight line or a circle. Equation of a circle through the points of intersection of two circle and that a circle and straight line. Section of a cone, Equations of the conic sections (Parabola, hyperbola, ellipse in standard forms. Equation of tangent and normal).
9. Calculus
Concept of a real function, its domain and range, types of functions and their graphs, Limit of a function. Continuity of a function, Intermediate value property of continuous function.
Relation between continuity and differentiability, Derivative of some simple functions from first principle.
Derivative of a composite function, implicit function, inverse circular functions, Derivatives of functions in parametric form, Derivatives upto order three.
dy/dx as a rate measurer, geometrical interpretation of dy/dx. Equation of tangents and normals. Increasing and decreasing functions and sign of derivatives, Maxima and minimum, Rollea’s Theorem and mean value theorem (without proof). Approximation by differentials, Curve sketching of simple curves.
Integrations as the inverse process of the differentiation. Integration by substitution and by parts ,partial function and their use in integration rational function.
Definite integrals and its simple properties.
Definite integrals as the limit of a sum.
Determination of area enclosed by standard curves (straight lines, circle, parabolas ellipse)
10. Differential Equations
Definition, order and degree, General and particular solution, Formation of differential equations,
Solutions of differential equations by variable method. Homogeneous differential equations of first order, Solution of second order differential equations.
11. Vectors
vectors and scalars, Types of vector- equal, unit zero, position vector of a point, Local and free vectors etc.
Components of a vector, Addition of vectors, Multiplication by scalars, scalar and vector products of 2 vectors with their geometrical meaning, scalar and vector-triple products.
Application of geometry, Moment of a vector about a line.
Coplanarity of three- vector of four points using scalar triple product.
12. Dimensional co-ordinate geometry
Co-ordinate axes and co- ordinate planes in 3 dimensional space, coordinates of a point in space .distance between 2 points ,section formula, direction co- sines, and direction ratio of a line joining 2 points, projection of the join of 2 points on a given line.
Angle between two lines whose direction cosines are given cartesian and vector equations of a line through (i) a point and parallel to a given vector (ii) two points.
Collinearity of 3 points , coplanar and skew lines, Shortest distance between 2 linnes, condition of intersection of 2 lines and 2 planes and a plane.
Conditions of coplanarity of 2 lines in vector and cartesian from length of perpendicular of a point from a plane by both vectors and cartesian method. Equation of a sphere, its centre, radius, diameter.
13. Statics
Statics- Basic concepts of laws of mechanics, and force. Resultant of coplanar, concurrent and parallel forces couples and members, conditions of equilibrium of particle under 3 concurrent forces.
14. Dynamics
Dynamics- Basic concepts of displacement, speed , velocity, average speed, uniform velocity uniform asseleration, resultant of 2 velocities, motion of a article in a straight line motion under gravity, projectile motion.
15. Probability
Probability Random experiments and sample space, events , probability on a discrete sample space, theorems of probability, addition rule multiplication rule, independent and independent events, experiments conditional probability repeated trials.
DECE LE Chemistry Syllabus
PHYSICAL CHEMISTRY
Mole concept and related numerical analysis
Laws of chemical combination. Mole concept, equivalent weights, atomic weights, molecular weight, eudiometry,
problems based on chemical equations.
Oxidation-reduction as electron transfer processes, Oxidation numbers, calculation of oxidation numbers, balancing of redox equations by oxidation number method and ion-electron method, equivalent weights of oxidants and reductants, Roles of K2Cr2O7′ KMnO4 , O3 , H2O2 , SO2 , I2 , FeSO4
States of matter (A) Gaseous stste, Kinetic theory of gases, equation of state, Grahams law of diffusion, Root Mean Square Velocity. Graphical distribution of molecular speeds of ideal gases and the effect of temperature, Most probable, velocity, average speed, Van der Waals equation and significance of Van der waals constants. (B) The liquid state, Properties of liquids, Concept of vapour pressure, surface tension and viscosity (C) The Solid State. The crystalline state and types of erystals. Seven crystal systems and 14 Bravais lattices, close packing in crystals, fee, ccp and bcc lattices.
Atomic structure. The Bohr and Sommerfeld models and related calculations, Spectral distribution and the Rydberg constant, deBroglie concept and Heisenberg Uncertainty Principle. The three dimensional atom as in quantum mechanics, Shapes of orbitals, Quantum numbers, Aufbau principle, Hund’s rule, Pauli exclusion principle, electronic configuration of elements, and ions (upto at no.34)
Radioactivity. Artificial and natural radioactivity,α, β and γ cause of radioactivity disintegration law, group displacement law, half-life period, average life, mass defect, binding energy, balancing of nucleate reactions, Fission and fusion,isotopes and their uses, isobars and isotones.
Chemical bonding: Octet concept, Types of bond- ionic covalent, coordinate, hydrogen bond ; Vander Waals attractions σ−π and ζ− (tau) bonds, Hybridisation VSEPR theory, dipole moment, resonance, shape of molecules and jons (CH4,NH3, H2O, SO4 , -2 and NO3
Concept of molecular orbitals, MO diagrams of some homonuclear and hetronuclear diatomic molecules (H2, H2, N2, CO and NO).
Classical concepts, modern concepts (Bronsted-Lowis and SHAB Principles). Salts and their classifications pH and pOH, pKa and pKb, relative strengths of acids and bases, buffer solutions.
Volumetry Standard solutions and primary standards, strength parameter (normality, molarity, molality, %age, mole fraction and ppm). Acid-base titration and indicators (phenolphthalein and methyl orange), redox titrationpemanganometry dichrometry, volume strength of H2 O2 solution.
Energetics, Bond energy and enthalpy of reaction, exo and endo-thermic reactions, first law of thermodynamics, internal energy, pressure-volume-works relationships for gases, enthalpy, extensive and intensive, properties of formation, combustion, neutralization, hydrogenation,fusion and vaporization, Resonance energy.
Chemical and related equilibria, Law of mass action, equilibrium constant Le Chatelier’s principle, Equilibrium constants of the following reactions- gaseous dissociation of HI, SO3 and PCI5 , Esterification and formation of ammonia. Relation between K and ∆ G.
Colligative properties of solutions, Relative lowering of vapour pressure, elevation of boiling point, depression of freezing points, osmotic pressure, ideal and non-ideal solutions, Vant Hoff factor- dissociation and association, Henry’s faw.
Chemical Kinetics. Rate of chemical reactions, factors affecting rate of reactions, molecularity and order of reactions, rate constants of first order reaction and its characteristics, temperature dependence of rate constant Arrhenius equation.
Electrochemistry. Faraday’s law, Electrolytic conductance- specific, equivalent and molar conductivities, kohalarausch’s law, Electrochemical cells and their cell reactions. Electrode potential, electrochemical series, simple calculations based on emf of galvanic cells.
Surface chemistry, Elementary idea of adsorption (excluding isotherms), Colloids and their types, Properties of colloids, elementary concepts of emulsions, surfactants and micelles.
DECE LE INORGANIC CHEMISTRY Syllabus
Periodicity of elements. The long periodic table, classification of elements in terms of s,p, d and f meteoroids, periodicity and enthalpy of ionization, electron affinity and electronegativty.
Transition elements. 3d series only. General characteristics, Oxidation states and their stability colur, magnetic properties, complexing properties and catalytic properties.
Metallurgy, Ores and minerals, gaugue, flux and slag. Commonly occurring ores of iron, copper, lead, magnesium, aluminium, mercury, zinc, silver, gold and tin. General principles and reactions involved in carbon reduction (Fe and Sn), self reduction methods (Cu and Pb), electrolytic reduction method (Al and Mg), cyanide process (Ag and au).
Chemistry of non metals and their compounds. Carbon- oxides, carbides, halides, fluorene, Industrial fuels, calorific value of fuels, Nitrogen- N2, NH2 and HNO3, phosphourous- PH3 oxides, orthometer and pyro-oxy-acis. Sulphur SO2 , H2 S, H2 SO4 (contact process only), Halogens- Hydrides, oxides and oxyacids, Inter-halogens. Noble gases, Isolation and fluorides of Xe.
Principles of qualitative analysis – Systematic grouping of cations and related group reagents, test for anions (other than fluorides,phosphates,silicates and borates)
Preparation of important compounds and their uses, NaOH, Na, CO3 10H2O. Ca (OCI) Cl. Ca (OH)2 , MgSO4, 7H2O, CuSO4, 5H2O, FeSO4 , 7H2O, ZnSO4 , 7H2O, AgNO3 , KMnO4 , K2Cr2O, Mohrs salt, potash alum, plaster of Paris, calomel, corrosive sublimate, vermillion and nesslers reagent.
Fertilizers – nitrogen and phosphorous containing
Pollution – water and air.
DECE LE ORGANIC CHEMISTRY SYLLABUS
Fundamentals. Hybridisation of carbon, structural formulae of organic compounds. Catenation, spatial arrangements around sp3, sp2 hybridised carbon atoms, Homologous series and classification of organic compounds, functional groups, nomenclature (IUPAC) of hydrocarbons, mono-and bi-functional group containing compounds. Physical properties of organic, compounds – boiling. pt, melting pt, solubility and density.
Isomerism – structural including keto-enol tautomerism, confirmation of ethane and butane- Newmann’s projection only. geometrical isomerism – cis and trans, optical isomerism with reference to one and two stereo-geinc centres (RS nomenclature not required).
General concept – of Organic reactions. Fission of bonds. reaction intermediates- carbocations, free radicals and carbanions, acidity and basicity due to inductive and resonance effects, Nucleophiles and electrophiles, types of organic reactions-addition substitution and elimination.
Principle – involved in the preparation of organic compounds and related chemical reactions. (a) Alkanes – from unsaturated hydrocarbons, alkyl halides and carboxylic acids, combustion and monohalogenation of alkanes, cracking and refining of petroleum, octane number. (b) Alkenes – Form alkyl halides and alcohols, their chemical reactions with Cl2 ,aqueous acis, quos KMnO4 ozone and boron hydride Markownikoff and anti-markinokoff addition, hydrogenation of alkenes. (c) Alkynes- from metal acetylide and halogen derivatives, reduction, some electrophilic additions, acidity of acetylene. (d) Halogen derivatives of alkanes – form alcohol, alkynes and alkynes, Chloroform, haloform reactions, nucleophilic substitution and elimination reaction in monohalogen derivatives, an elementary treatment of Grignard reagent. (e) Alcohol – from alkyl halides, aldehydes’ and ketones, Reactions of alcohols-oxidation esterification, dehydration and reaction with PCl5 (f) Ether- form alkyl halide and alcohol. Reactions Hl, PCL5 and acetyl chloride. (g) Aldehydes and ketones – from alcohol, alkynes, carboxylic acid salts, Reactions with hydroxylamine, phenyl hydrazine, Tollens reagent, Aldol condensation, Prekin reaction Canizzaro reaction and Benzoin condensation. (h) Carboxylic acids and their derivatives- from cyanides alcohos and esters. reactions with PCl5 alcohol ammonia, Rosenmund’s reduction. (h) Carbosylic acids and their derivatives- from cyanides alcohols and esters. Reactions with PCl5 alcohol ammonia, Rosenmund’s reduction. (i) Aromatic compounds – aromaticity, benzene, phenol and aniline, Diazo coupling.
Polymer – natural and synthetic- rubber, polythene, PVC, polyester, techniques of polymerisation.
