RNET 2021 Salary

MATHEMATICS SYLLABUS

Algebra : Algebra of Complex numbers, Graphical representation of complex numbers modules, argument of complex numbers, conjugate of a complex number, triangle inequality, cube roots of unity, arithmetic, geometric and harmonic progression. Arithmetic, geometric and harmonic means between two numbers. Sum of squares and cubes of first natural numbers. Theory of equation, relations between roots and coefficients. Quadratic expressions, quadratic equations in one variable, permutations and combinations. Binomial ( any index ) theorem, exponential and logarithmic series, determinants up to third order and their order and their elementary properties matrices types of matrices, adjoin and inverse of matrix, elementary applications in solving simultaneous equation upto three variables.

Trigonometry: Trigonometry functions and their graphs, addition and subtraction formulae; formulae involving multiple and submultiples angles, general solutions of trigonometrical equations, relation between sides and angles of a triangle. Solution of triangles, inverse trignometrical functions, height and distance (simple problems ).

Co-Ordinate Geometry of Two Dimensions : Cartesian coordinates straight line, pair of straight lines, distance of a point from a line, angle between two lines. Circle, tangents and normals, system of circles. Conic section, parabola, ellipse and hyperbola in standard forms with elementary properties, tangents and normals.

Co-Ordinate Geometry of Three Dimensions : Rectangular co-ordinate system, direction cosines and direction ratios, equation of plane in standard forms. Perpendicular distance from a point, equation of a line, angles between two lines.

Vector Algebra : Definition of vector, addition of vector, components in three dimensional space, scalar and vector products. Triple products, simple applications in geometry and mechanics.

Differential Calculus : Function, polynomial, rational trigonometric, logarithmic and exponential, inverse functions. Limit continuity and differentiability of functions, differentiation of rational, trigonometric and exponential functions. Application of derivative in elementary problem in mechanics, increasing and decreasing functions. Maxima and Minima of function of one variable, Roll’s theorem and mean value theorem, Tangent and normal.

Integral Calculus : Integration as the inverse process of differentiation, integration by parts, substitution and by partial fraction, definite integral. Areas under simple curves.

Differential Equations : Formulation of differential equations, order ‘n’ and degree of differential equations, solution of differential equations by separation of variable method. Homogeneous form linear differential equation of first order.

Statistics : Probability addition and multiplication laws, conditional probability, Binomial distribution, simple problems in correlation and regression.

Numerical Methods : Solution of equation by the method of bisection, false position and Newton Raphson. Numerical integration by trapezoided and Simpson’s rule.

Linear Program : Definition and formation of linear programming problems, solution by graphical method.

PHYSICS SYLLABUS

Unit and Dimensions, Dimensional Analysis, S. I. Units, Motion in two dimensions ( cases of uniform velocity and uniform acceleration ), general relation among position and velocity, uniform circular motion and inertia. Newton’s laws of motion, Conservation of momentum and energy. Static and kinetic friction. Work, energy and power elastic collisions, potential energy, gravitational potential energy and its angular conservations to its kinetic energy. Potential energy of a spring. Rigid body rotation and conservation of its momentum, moment of inertia, theorems of parallel and perpendicular axis. ( moment of inertia of uniform ring, disc, thin rod and cylinder only ).

Acceleration due to gravity and its variation, universal law of gravitation, geostationary satellites, escape velocity. Hooke’s law, Young’s modulus, shear and bulk modulus, surface energy and surface tension, kinetic theory of gases, gas laws, kinetic energy and temperature.

Specific heats for constant volume and constant pressure, mechanical equivalent of heat, isothermal and adiabatic processes. Heat conduction in one dimension, convection and radiation, Stefan’s law and Newton’s law of cooling.

Periodic motion, simple harmonic motion, Oscillations due to spring. Wave motion, principle of superposition, progressive and stationary waves, beats and Doppler Effect.

Wave nature of light, interference , Young’s double slit experiment, velocity of light and Doppler effect in light.

Reflection, refraction, total internal reflection, curved mirrors, lenses, mirror and lens formulae. Dispersion in prism, absorption and emission spectra.

The human eye, defects of vision, magnification and resolving power of telescope and microscope.

“e” and “e/m” for and electron, Einstein’s photoelectric equation, photocells.

Bohr’s model of an atom, Hydrogen spectrum, composition of nucleus, atomic masses and isotopes, radioactivity, laws of radioactive decay, decay constant, half life and mean life, mass energy relation, fissions, X-rays, properties and uses.

Elementary ideas of conductor, semi conductor and insulator, intrinsic and extrinsic semiconductors, p-n junction.

Bar magnets, lines of force, torque on a bar magnet due to magnetic field, earth’s magnetic field, tangent galvanometer, vibration magnetometer.

Coulomb’s law of electrostatic, dielectric constant, electric field and potential due to a point charge, dipole, dipole field, Gauss’s law in a simple geometrics.

Electrostatic potential, capacitance, parallel plate and spherical capacitors in series and parallel, energy of a capacitor.

Electric current, Ohm’s law, Kirchhoff’s laws, resistances in series and parallel temperature dependence of resistance, Wheatstone bridge, potentiometer.

Measurement of voltage and current

Electric power, heating effects of currents, chemical effects and law of electrolysis, thermoelectricity, Biot Savart law, magnetic fields due to a straight wire, circular loop and solenoid.

Force on a moving charge in a magnetic field (Lorentz force), magnetic moment of a current loop, effect of a uniform magnetic field of a current loop, force between two current carrying conductors, moving coil galvanometer, ammeter and voltmeter.

Electromagnetic induction, induced e.m.f., Faraday’s law, Lenz’s law, self and mutual inductance alternating current, impedance and reactance, growth and decay of current in L-R circuit, elementary idea of dynamo and transformer.

CHEMISTRY SYLLABUS

General and Physics Chemistry :

Structure of atom : constitutions of nucleus: Bohr’s atom model: quantum numbers, Aufbau principle, electronic configuration of elements ( upto Kr ) : De-Broglie relation, shapes of orbitals.

Chemical bond : electrovalent, covalent and coordinate bonds, Hybridization ( sp ) : hydrogen bond : shapes of molecules ( VSEPR theory ) : bond polarity, resonance, elements of VBT and MOT.

Solutions : models of expressing concentrations of solutions: types of solutions, Raoult’s law of colligative properties, non-ideal solution, abnormal molecular weights.

Solid state : crystal lattices, unit cells, structure of ionic compounds : close packed structure ionic radii, imperfections (point defects): properties of solids.

Nuclear chemistry : radioactive radiations: half-life, radioactive decay, group displacement law, structure and properties of nucleus : nucleus reaction, disintegration series artificial transmutation : isotopes and their uses : radiocarbon dating.

Chemical equilibrium : chemical equilibrium, law of mass action: Kp and Kc : Le Chatelier principle and its applications. Ionic equilibrium in solutions, solubility product, common ion effect, theories of acids and base hydrolysis of salts: PH : buffers.

Thermo chemistry and thermodynamics : energy changing due to chemical reaction : intrinsic energy enthalpy, first law of thermodynamics : Hess’s law heats of reactions: second law of thermodynamics : free energy.

Spontaneity of a chemical reaction : free energy change and chemical equilibrium: free energy as energy available for useful work. Chemical kinetic : rate of a reaction, factors affecting the rates, rate constant, rate expression, order of reaction, first order rate constant expression and characteristics, Arrhenous equation.

Electrochemistry : oxidation, oxidation number and ion- electron methods. Electrolytic conduction, Faraday’s law: voltaic cell, electrode potentials, electromotive force, Gibb’s energy and cell potentials. Ernest equation, commercial cells, fuel cell, electrochemical theory of corrosion.

Surface chemistry, colloids and catalysis: Adsorption, colloids ( types preparation and properties ), Emulsions, Micelles, catalysis types and characteristics.

Inorganic Chemistry :

Principle and metallurgical operations : furnaces, ore concentration, extraction, purification metallurgies of Na, Al, Fe, Cu, Ag, Zn and Pb and their properties.

Chemical periodicity: s.p.d and f-block elements, periodic table : periodicity : atomic and ionic radii valency, ionization energy, electron affinity electro negativity, metallic character.

Comparative study of elements : comparative study of following families of elements 1. Alkali metals 2. Alkaline earth metals 3. Nitrogen family 4. Oxygen family 5. Halogens 6. Noble gases.

Transition metals : electronic configuration of 3d metal ions, oxidation states, other general characteristics properties, potassium permanganate, potassium dichromate.

Co-ordination compounds : simple nomenclature, bounding and stability, classification and bonding in organometallics.

Chemical analysis : chemistry involved simple inorganic, qualitative analysis: calculations based on acid base titrimetry.

Organic Chemistry :

Calculations of empirical and molecular formula of organic compounds, nomenclature of organic compounds, common functional groups isomerism structure and shapes of alkanes, alkanes and benzene.

Preparation, properties and uses of alkynes, alkynes, benzene petroleum, cracking octane number, gasoline additives.

Nomenclature, physical and chemical properties, correlation of physical properties with structural properties and uses of haloalkanes, halobenzenes, alcohols and phenols: general ideas of some polyhalogen compounds viz dicholorothanes dichloroethers, chloroform, carbon tetrachloride, D.D.T, benzene hexachloride.

Nomenclature, methods of preparation, chemical properties, correlations of physical properties with structures and uses of ethers, aldehydes, ketones, carboxylic acids and their derivatives, brief account of the chemistry of cyanides, isocyanides, amines and nitro compounds.

Polymers : classification, preparation and uses of common natural and synthetic polymers.

Bio-molecules : classification, structure and biological importance of carbohydrates, amino acids, peptides, proteins and enzymes, nucleic acids and lipids.