Aspirants, who wish to apply MP-PET 2013 are here by informed that the exam notifications are now out. State level Professional examination Test (PET) conducted in Madhya Pradesh by theMadhya Pradesh Professional Examination Board (Vyavasayik Pariksha Mandal) (MPPEB) Bhopal. Being one of the state level engineering entrance examination body in India, the Madhya Pradesh Professional Examination Board conducts State level Pre-Engineering Test MP PET (or PEPT/PAT) for admission to Bachelors in Engineering, Pharmacy, Dairy, Agriculture, and Forestry. The Candidatesare eligible for admission to Government Engineering Colleges, Private engineering Colleges, and Autonomous Institutions in Madhya Pradesh.
Unit 1 Units and Measurement
Units for measurement, system of units-S.I., fundamental and derived units. Dimensions and their applications.
Unit 2 Description of Motion in one dimension
Motion in a straight line, uniform motion, its graphical representation. Uniformly accelerated motion, and its applications.
Unit 3 Description of Motion in Two and Three dimensions
Scalars and vectors, vector addition, multiplication of a vector by a real number, zero-vector and its properties. Resolution of vectors. Scalar and vector products, uniform circular motion and its applications, projectile motion.
Unit 4 Laws of Motion
Force and inertia-Newton's Laws of motion. Conservation of linear momentum, rocket propulsion. Inertial frames of references. Static and kinetic friction, laws of friction, rolling friction.
Unit 5 Work, Energy and Power
Concept of work, energy and power, Energy-kinetic and potential. Conservation of energy. Elastic collisions in one and two dimensions. Different forms of energy.
Unit 6 Rotational Motion and Moment of Inertia
Centre of mass of a two-particle system. Centre of mass of a rigid body, general motion of a rigid body, nature of rotational motion, torque, angular momentum., conservation of angular momentum and its applications. Moment of Inertia and its physical significance, parallel and perpendicular axes theorem, expression of moment of inertia for ring, disc and sphere.
Unit 7 Gravitation
Acceleration due to gravity, one and two-dimensional motion under gravity. Universal law of gravitation, variation in the acceleration due to gravity of the earth. Planetary motion, artificial satellite - geostationary satellite, gravitational potential energy near the surface of earth, gravitational potential and space velocity.
Unit 8 Properties of Matter
Inter-atomic and inter-molecular forces, states of matter
(B) Liquids : Cohesion and adhesion. Surface energy and surface tension. Flow of fluids, Bernoulli's theorem and its applications. Viscosity, Stoke's Law, terminal velocity.
(C) Ideal gas laws.
Unit 9 Oscillations
Periodic motion, simple harmonic motion and its equation of motion, energy in S.H.M., Oscillations of a spring and simple pendulum.
Unit 10 Waves
Wave motion, speed of a wave, longitudinal and transverse waves, superposition of waves, progressive and standing waves, vibration of strings and air-columns, beats, resonance. Doppler effect in sound.
Unit 11 Heat and Thermodynamics
Thermal expansion of solids, liquids and gases and their specific heats, relationship between Cr and Cu for gases. First law of thermodynamics, thermodynamic processes. Second law of thermodynamics, carnot cycle, efficiency of heat engines.
Unit 12 Transference of Heat
Modes of transference of heat. Thermal conductivity. Black body radiations, Kirchoff's law, Wien's law, Stefan's law of radiation and Newton's law of cooling.
Unit 13 Electrostatics
Charges and their conservation. Coulomb's law. S.I. unit of charge, dielectric constant, electric field, lines of force. Field due to dipole and its behaviour in a uniform electric field, electric flux, Gauss's law in simple geometries. Electric potential, potential due to a point charge. Conductors and insulations, distribution of charge on conductors. Capacitance, parallel plate capacitor, combination of capacitors, energy of capacitor, Van de Graff generator.
Unit 14 Current Electricity
Current as a rate of flow of charges, sources of energy, cells-primary and secondary, grouping of cells, resistance of different materials, temperature dependence, specific resistance, Ohm's law, Kirchoff's law, series and parallel circuits. Wheatstone Bridge, measurement of voltages and currents, potentiometer.
Unit 15 Thermal and Chemical Effects of Currents
Heating effects of current, electric power, simple concept of thermo electricity - (Seeback effect and its explanation), thermocouple, Chemical effects of current and laws of electrolysis.
Unit 16 Magnetic Effects of Currents
Oersted's experiment, Biot-Savert's law (magnetic field due to a current element), magnetic field due to a straight wire, circular loop and solenoid, force on a moving charge in a uniform magnetic field (Lorentz force), forces and torques on currents in a magnetic field, force between two current carrying wires, moving coil galvanometer, ammeter and voltmeter.
Unit 17 Magnetostatics
Bar magnet, magnetic field, lines of force, torque on a bar magnet in a magnetic field, earth's magnetic field, tangent galvanometer, vibration magnetometer, para, dia and ferro-magnetism, magnetic induction, magnetic susceptibility.
Unit 18 Electromagnetic Induction and Alternating Currents
Induced e.m.f., Farady's Law, Lenz's Law, self and mutual induction, alternating currents, impedance and reactance, power in a.c. circuits, LCR series combination, resonant circuits. Transformer, simple motor, and A.C. generator.
Unit 19 Ray Optics
Sources of light, luminous intensity, luminous flux, illuminance and photometry (elementary idea). Reflection and refraction of light at plane and curved surfaces, total internal reflection, optical fibre, deviation and dispersion of light by a prism; Lens formula, magnification and resloving power; microscope and telescope.
Unit 20 Wave Optics
Wave nature of light; Interference ? Young's double slit experiment. Diffraction ? diffraction due to a single slit. Elementary idea of polarization, Doppler effect of light.
Unit 21 Electromagnetic waves
Electromagnetic oscillations. Electromagnetic wave spectrum from gamma to radio waves - their use and propagation, properties of the atmosphere w.r.t. electromagnetic spectrum.
Unit 22 Electrons and Photons
Discovery of electrons, cathode rays, charge on an electron, e/m for an electron, photoelectric effect and Einstein's equation of photoelectric effect.
Unit 23 Atoms, Molecules and Nuclei
Rutherford model of the atom, Bohr's model, energy quantizations, hydrogen spectrum, Atomic masses, size of the nucleus; Radioactivity; rays and their properties - alpha, beta and gamma decay; half life and mean life of radio-active nuclei, Binding energy, mass energy relationship, nuclear fission and nuclear fusion.
Unit 24 Solids and Semi-Conductor Devices
Energy bands in solids, conductors, insulators and semi-conductors, PN junction, diodes, diode as rectifier, junction transistor, transistor as an amplifier.
I : ALGEBRA
Unit 1 Sets,Relations and Functions
Sets and their Representations, Union, intersection and complements of sets and the algebraic properties, Relations, equivalence relations, mappings, one-one, into and onto mappings, composition of mappings.
Unit 2 Complex Numbers
Complex number in the form a+ib and their representation in a plane. Argand diagram. Algebra of complex numbers, Modulus and Arguments (or amplitude) of a complex number, square root of a complex number. Cube roots of unity, triangle-inequality.
Unit 3 Matrices and Determinants
Determinants and matrices of order two and three, properties of determinants. Evaluation of determinants. Area of triangles using determinants, Addition and multiplication of matrices, adjoint and inverse of matrix. Test of consistency and solution of simultaneous linear equations using determinants and matrices.
Unit 4 Quadratic Equations
Quadratic equation 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; Symmetric functions of roots.
Unit 5 Permutation & Combination
Fundamental principle of counting; Permutation as an arrangement. Meaning of P(n,r) and C(n,r) Simple applications.
Unit 6 Mathematical Induction and its applications-
Unit 7 Binomial Theorem and its Applications
Binomial Theorem for a positive integral index; general term and middle term; Binomial Theorem for any index. Properties of Binomial Co-efficients. Simple applications for approximations.
Sequences and Series Arithmetic, Geometric and Harmonic progressions. Special cases of Sn, Sn2, Sn3. Arithmetic-Geometric Series, Exponential Logarithmic series.
II : CALCULUS
Unit 9 Differential Calculus
Polynomials, rational, trigonometric, logarithmic and exponential functions. Inverse functions, Graphs of simple functions, Limits, Continuity; 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 three. Applications of derivative, monotonic functions. Maxima and minima of functions of one variable.
Unit 10 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. Integral as limit of a sum. Properties of definite integrals. Evaluation of indefinite integrals; Determining areas of the regions bounded by simple curves.
Unit 11 Differential Equations
Ordinary differential equations, their order and degree. Solution of differential equations by the method of separation of variables. Solution of homogeneous and linear differential equations.
III : TWO AND THREE DIMENSIONAL GEOMETRY
Unit 12 Two dimensional Geometry
Recall of Cartesian system of Rectangular co-ordinates in a plane, distance formula, area of a triangle, condition for the collinearity of three points and section formula, centroid and in-centre of a triangle. Locus and its equation, translation of axes, slope of a line; parallel and perpendicular lines. Intercepts of a line on the coordinate axes.
Unit 12 The straight line and pair of straight lines
Various forms of equations of a line, intersection of lines, angles between two lines, conditions for concurrency of three lines, distance of point from a line, coordinates of orthocentre and circumcentre of triangle, equation of family of lines passing through the point of intersection of two lines homogeneous equation of second degree in x and y, angle between pair of lines through the origin, combined equation of the bisectors of the angles between a pair of lines, condition for the general second degree equation to represent of pair of lines, point of intersection and angle between two lines represented by S=O and the factors of S.
Unit 12 Circles & system of Circles
Standard form of equation of a circle, general form of the equation of a circle its radius and centre, equation of a circle in the parametric form, equations 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 the circle. Length of the tangent, equation of the tangent, equation of a family of circles through the intersection of two circles, condition for two intersecting circles to be orthogonal.
Unit 12 Conic Section
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.
Unit 13 Three dimensional Geometry
Coordinates of the point in space, distance between the points; Section formula, direction ratios and direction cosines, angle between two intersecting lines, equations of a line and plane in different forms; intersection of a line and a plane, coplanar lines, equation of a sphere, its centre and radius. Diameter form of the equation of a sphere.
IV : VECTORS
Unit 14 Vector Algebra
Vector and Scalars, addtion of vectors, components of a vector in two dimensions and three dimensional space, scalar and vector products, vector triple product. Application of vectors to plane geometry.
V : STATISTICS
Unit 15 Measures of Central Tendency and Dispersion
Calculation of Mean, median and mode of grouped and unpgrouped data. Calculation of standard deviation, variance and mean deviation for grouped and ungrouped data.
Unit 16 Probability
Probability of an event, addition and multiplication theorems of probability and their applications; Conditional probability; Probability distribution of a random variable; Binomial distribution and its properties.
VI : TRIGONOMETRY
Unit 17 TRIGONOMETRY
Trigonometrical ratios, identities and equations. Inverse trigonometric function and their properties. Properties of triangles, solution of triangles. Height and Distances.
VII : STATICS AND DYNAMICS
Unit 18 Statics
Resultant of Coplanar forces; moments and couples. Equilibrium of three concurrent forces.
Unit 19 Dynamics
Speed and velocity, average speed, instantaneous speed, acceleration and retardation, resultant of two velocities, relative velocity an its simple applications. Motion of a particle along a line moving with constant acceleration. Motion under gravity. Laws of motion, Projectile motion.
Unit 1 Atoms, Molecules and Chemical Arithmetic
Measurement in chemistry (significant figures, Dimensional analysis). Chemical classification of matter (mixtures, compounds and elements, and purification), Law of chemcial combination and Daiton's Atomic theory, Atomic Mass (mole concept, determination of chemical formulae). Chemical equation (balancing of chemical equation and calculations using chemical equations).
Unit 2 Elements, their Occurrence and extraction
Earth as a source of elements, elements in biology, extraction of metals (metallurgical process, production of concentrated ore, production of metals and their purification). Mineral wealth of India. Qualitative test of metals.
Unit 3 States of Matter
Gaseous state (measurable properties of gases, Boyle's Law, Charle's Law and absolute scale of temperature, Avogadro's hypothesis, ideal gas equation, Dalton's law of partial pressure). Kinetic molecular theory of gases (the microscopic model of gas, deviation from ideal behaviour).
The solid state (classification of solids, X-ray studies of crystal lattices and unit cells, packing of constituent particles in crystals). Liquid state (Properties of liquids, Vapour pressure, Surface tension, Viscosity).
Unit 4 Atomic Structures
Constituents of the atom (Discovery of electron, Rutherford model of the atom).
Electronic structure of atoms (nature of light and electromagnetic waves, atomic spectra. Bohr's model of Hydrogen atom. Quantum mechanical model of the atom, electronic configurations of atoms, Aufbau principle).
Dual nature of matter and radiation. The uncertainty principle. Orbitals and Quantum numbers. Shapes of orbitals, Electronic configuration of atoms.
Unit 5 Chemical Families –
Periodic Properties Mendeleev's Periodic Table, Modern Periodic Law, Types of elements (inner transition elements-f-block elements). Periodic trends in properties. (lonization energy, electron affinity, atomic radii, valence, periodicity in properties of compounds).
Unit 6 Chemical Bonding and Molecular structure
Chemical bonds and Lewis structure shapes of molecules (VSEPR theory). Quantum theory of the covalent bond (Hydrogen and some simple molecules, carbon compounds. Hybridization, Boron and Beryllium compounds).
Coordinate covalent bond (lonic bond as an extreme case of polar covalent bond, ionic character of molecules and polar molecules. Bonding in solid state (lonic, moelcular and covalent solids, metals). Hydrogen bond, Resonance.
Molecules: Molecular orbital method. Formation of H2,O2, N2, F2 on the basis of MOT. Hybridisation, Dipole moment and structure of molecules.
Unit 7 The Solid State
Structure of simple ionic compounds. Close-packed structures. lonic-radii, Silicates (elementary ideas). Imperfection in solids (point defects only). Properties of solids, Amorphous solids.
The Gaseous state.
Ideal gas equation-Kinetic Theory (fundamentals only)
Unit 8 Solutions
Types of solutions, Vapour-pressure of solutions and Raoult's law. Colligative properties, Non-ideal solutions and abnormal molecular masses. Mole concept-stoichemistry, volumetric analysis-concentration unit.
Unit 9 Chemical Energetics and Thermodynamics
Energy changes during a chemical reaction, Internal energy and Enthalpy (Internal energy, Enthalpy, Enthalpy changes, Origin of Enthalpy change in a reaction, Hess's Law of constant heat summation, numericals based on these concepts). Heats of reactions (heat of neutralization, heat of combustion, heat of fusion and vaporization).
Sources of energy (conservation of energy sources and identification of alternative sources, pollution associated with consumption of fuels. The sun as the primary source).
Second law of thermodynamics : Entropy, Free energy, Spontaneity of a chemical reaction, free energy change and chemical equilibrium, free energy available for useful work.
Unit 10 Chemical Equilibrium
Equilibria involving physical changes (solid-liquid, liquid-gas equilibrium involving dissolution of solid in liquids, gases in liquids, general characteristics of equilibrium involving physical processes).
Equilibria involving chemical systems (the law of chemical equilibrium, the magnitude of the equilibrium constant, numerical problems).
Effect of changing conditions of systems at equilibrium (change of concentration, change of temperature, effect of catalyst-Le Chateliar's principle).
Equilibria involving ions (ionization of electrolytes, weak and strong electrolytes, acid-base equilibrium, various concepts of acids and bases, ionization of water, pH, solubility product, numericals based on these concepts).
Unit 11 Redox Reactions and Electrochemistry
Oxidation and reduction as an electron transfer process. Redox reactions in aqueous solutions-electrochemical cells. EMF of a galvanic cell. Dependence of EMF on concentration and temperature (nearest equation and numerical problems based on it). Electrolysis, Oxidation numbers (rules for assigning oxidation number, redox reactions in terms of oxidation number and nomenclature). Balancing of oxidation-reduction equations.
Electrolytic conduction, Voltaic cell. Electrode potential and Electromotive force, Gibb's free energy and cell potential. Electrode potential and Electrolysis.
Unit 12 Transference of Heat
Rate of reaction, Instantaneous rate of reaction and order of reaction. Factors affecting rates of reactions (factors affecting rate of collisions encountered between the reactant molecules, effect of temperature on the reaction rate, concept of activation energy, catalysis). Effect of light on rates of reactions. Elementary reactions as steps to more complex reactions. How fast are chemical reactions?
Rate expression. Order of a reaction (with suitable examples). Units of rates and specific rate constants. Order of reaction and effect of concentration (study will be confined to first order only). Temperature dependence of rate constant - Fast reactions (only elementary idea). Mechanism of reaction (only elementary idea). Photochemical reactions.
Unit 13 Chemistry of Hydrocarbons
Alkanes (Structure, isomerism, conformation).
Stereo isomerism and chirality (origin of chirality, optical rotation, recemic mixture).
Alkenes (isomerism including cis-trans).
Arenes (structure of benzene, resonance structure, isomerism in arenes).
Sources of hydrocarbons (origin and composition of coal and petroleum, Hydrocarbon from coal and petroleum cracking and reforming, quality of gasoline-octane number, gasoline additives).
Laboratory preparation of alkenes (preparation from alcohols, alkyl halides).
Laboratory preparation of alkynes (preparation from calcium carbide and accetylene).
Physical properties of alkanes (boiling and melting points, solubility and density).
Reactions of hydrocarbons (oxidation, addition, subsitution and miscellaneous reactions).