विस्तृत पाठ्यक्रम विश्लेषण देखने के लिए एक पेपर चुनें।
| प्रश्न पत्र | प्रश्नों की संख्या |
|---|---|
| भाग अ :- सामान्य ज्ञान (राजस्थान का इतिहास, कला एवं संस्कृति, परम्पराऐं, विरासत एवं राजस्थान का भूगोल) | 30 |
| भाग - ब :- अस्त्रक्षेप (Ballistic ) | 70 |
नोट:
पाठ्यक्रम
(अ) सामान्य ज्ञान ( लगभग 45 प्रश्न)
राजस्थान का इतिहास, कला एवं संस्कृति, साहित्य, परम्पराऐं एवं विरासत
राजस्थान का भूगोल
भाग - ब :- अस्त्रक्षेप (Ballistic )
1. Modern Physics: Bohr's Theory of Hydrogen atom, Optical and X-ray spectra, Photoelectric effect. Compton effect, Wave nature of matter and Wave-Particle duality, Natural and artificial radio-acitivty, alpha, beta and gamma radiation, chain decay, Nuclear fission and fusion. Elementary particles and their classification.
2. Electronics: Vacuum tubes-diode and triode, p-and n-type materials, p-n diodes and transistors, Circuits for rectification, amplification and oscillations. Logic gates.
3. Electricity and Magnetism: Electric charge, Fields and Potentials, Coulomb's Law, Gauss Law, Capacitance, Dielectrics. Ohm's Law, Kirchoff's Laws, Magnetic field, Ampere's Law, Faraday's Law of electromagnetic induction, Lenz's Law, Alternating currents, LCR Circuits, Series & Parallel resonance, Q- factor, Electromagnetic Waves, Motion of charged particles in electric and magnetic fields. Particle accelerators, Cyclotron, Betatron, Mass spectrometer, Hall effect. Dia, Para and ferro magnetism.
4. Wave & Oscillations : Simple harmonic motion, Travelling & Stationary waves, Super position of waves, Beats. Forced oscillations, Damped oscillations, Resonance, Sound waves, Vibrations of air columns, strings and rods. Ultrasonic waves and their application. Doppler effect.
5. Optics: Thin lens formulae, Systems of two thin lenses. Optical instruments, Eyepieces, Nature and propagation of Light, Interference, Division of amplitude, Simple interferometers. Diffraction - Fraunhofer and Fresnel, Gratings. Resolving power of optical instruments.Polarization, Production and Detection of Polarized light.Lasers and their applications.
6. Mechanics: S.I. units, Motion in one and two dimensions. Newton's laws of motion with applications. Frictional forces, Work, Power and Energy. Conservative and non-conservative systems.Collisions, Conservation of energy.Linear and angular momenta.Rotational kinematics, Rotational dynamics.Artificial Satellites.Surface tension and Viscosity.streamline and turbulent motion. Stoke's law and its application, Special theory of relativity, Mass Energy equivalence.
7. Thermal Physics: Laws of thermodynamics, Heat engines, Thermodynamic potentials and Maxwell's relations. Vander waal's equation of State, Joule-Thomoson effect, Phase transition, heat conduction and specific heat in solids, Kinetic Theory of Gases, Ideal Gas equation, Equipartition of Energy, Mean free path, Brownian Motion, Black-body radiation Planck's Law.
8. Mechanics Concept of particle, rigid body, force, mass, weight, scalar and vector quantities, Vector Algebra, Newton's Laws of motion, motion of a particle in a straight line; Simple Harmonic motion, projectile, circular motion, motion under central forces (inverse square law), escape velocity.
9. Geometry: Analytic Geometry of straight lines referred to Cartesian and polar Coordinates; three dimensional geometry for planes, straight lines, sphere and Cone.
10. Calculus :Real numbers, order completeness property, standard functions, limits, continuity, properties of continuous functions in closed intervals, differentiability, Mean value Theorem, Taylors Theorem, Maxima and Minima. Application to curves tangent normal properties, Curvatute, double points. Definition of a definite integral of continuous function as the limit of a sum, fundamental theorem of integral Calculus, methods of integration, volume and surfaces of solids of revolution. Partial differentiation and its application.alternating series and absolute convergence.
11. Differential Equations : First order differential equations, Singular solutions, geometrical interpretations, linear differential equations with constant coefficients.
12. Algebra : Sets, relations, equivalence relations, Natural numbers, Rational numbers, Real and Complex numbers, division algorithm, derivations, Integral, rational real and complex roots of a polynomial, Relation between roots and Coefficients, elementary symmetric functions, Groups, fields and their elementary properties.
13. Matrices : Addition and multiplication, elementary row and column operation, rank determinants, inverse, solutions of systems of linear equations.
14. Kinetic theory of gases and gas laws. Maxwell's law of distribution of velocities. Van der Vaals equation.Law of corresponding states. Specific heat of gases, ration Cp/Cv.
Thermodynamies - The first law of thermodynamics. Isothermal and adiabatic expansions.heat capacities and thermochemistry. Heats of reaction.Bond energies.Krichoff's equation. Criteria for spontaneous changes, Second law of thermodynamics. Free energy, Criteria for chemical equilibrium,
Chemical equilibria - Law of mass action and its application to homogeneous and heterogeneous equilibrua; Le Chatelier principle and its application to chemical equilibria.
Chemical Kinetics - Molecularity and order of a reation. First order and second order reactions. Temperature coefficient and energy of activation.Collision theory of reaction rates.
Electrochemistry - Faraday's laws of electrolysis, conductivity of an electrolyte. Equivalent conductivity and its variation with dilution.Solubility of sparingly soluble salts. Electrolytic dissociation.Ostwald's dilution law. Solubility product. Strength of acids and bases.Hydrolysis of salts.Hydrogen ion concentration.Buffer action. Theory of indicators. Reversible cells- Ionic product of water.Potentiometric titrations. Phase rule- Explanation of terms involved. Application to one and two component systems.Distribution law.
Catalysis - Homogeneous and heterogeneous catalysis. Promoters and Poisons.
(2) Alkanes, alkenes and alkynes- simple derivatives of aliphatic compounds; halides, alcohols, aldehydes, ketones, acids, amines and nitro compounds; monohydroxy, ketonic and amino acids.
Carbohydrates - Classification and general reactions, general idea on the chemistry of starch and celluose.
Benzene and common monofunctionalbenzenenoid compounds, concept of aromaticity as applied to benezene, naphthalene and pyrole-orientation influence in aromatic substitution-chemistry and uses of diazonium salts. Basic principles underlying spectral techniques (UV-visile,IR, Raman and NMR).
(3) Atomic number, Electronic configuration of elements, Aufbauprinciple, Paulis Exclusion Principle, salient characteristics of 's', 'p', 'd' and 'f' block elements.
Atomic and ionic radii, ionisation potential, electron affinity and electronegativity.
Natural and artificial radioactivity theory of nuclear disintegration; nuclear bindings, energy, nuclear reaction, fission,, and fusion, radioactive isotopes and their uses.
Electronic Theory of Valency.Elementary ideas about sigma and pi-bonds, hybridization and directional nature of covalent bonds.Shapes of simple molecules bond order and bond length.
Oxidation states and oxidation numbers.Common redox reactions; ionic equations.
Chemistry of common elements and their compounds, treated from the point of view of periodic classification. Principles of extraction of metals, as illustrated by sodium, copper, aluminium, iron and nickel. Common ion effect, solubility products and their applications in qualitative inorganic analysis.