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Jamia Millia Islamia (JMI) - Diploma in Engineering (Evening)

Syllabus

ScienceMathematics
All Questions will be Objective / Multiple Choice Types.

Syllabus for Diploma Engineering (Evening) Entrance Test
Science

Distance and displacement, Vectors, their addition, subtraction and resolution: speed and velocity,. Uniform and circular motion, acceleration, mass and weight, momentum, impulse: first, second and third law of motion, conservation of momentum, principle of moments “couples, centre of gravity, work, K.B., P.B., Conservation of energy, Mechanical properties of solids, stress and strain, Hook’s law. Archimedes principles. Relative density and specific gravity, floatation and stability of floating bodies. Characteristic of a wave, v=n relation, longitudinal and transverse wave. Sound wave and ultrasonic waves, Spherical mirror,. F -2R, relation formulae of Refraction, refractive index, refraction through a glass slab and prism, total internal reflection. Lenses and their power formulae of lenses, microscope and telescope. Couloumb’s Law, electric intensity, electrostatic potential due to a charge, electric current. Magnetic field to a current, interaction of two current carrying wires, ‘electromagnetic, dynamo, principle of microscope, telephone, earth’s magnetism. Chemical combination, behaviour of gases, diffusion, relative density of gasses, Gay-Lussac’s and Avogadro’s Law, Avogadro’s number, mole concept, atomic and molecular weight. Structure of atom, cathode rays, positive rays, protons and neutrons, isotopes and isobar, electronic configuration, chemical bond, electrovalent, covalent coordinate bond, periodic law, gradation of the properties, Oxidation and reduction, Halogens (CI2, Br2, I2) bleaching action of chlorine, hydrogen sulphide, allotropy, SO2 and H2SO4, Nitrogen and Phosphorous, ammonia, fixation of nitrogen and nitrogen cycle. Metallurgical process and metals, chemical properties of the following metals and their reaction with O2 (Na, Mg, Fe, Cu); Cl2, Br2, I2 - (Na, Mg, Zn, Fe, Cu); S(Zn, Cu, Fe);
Acids -(Sn, Fe, Cu); Hard water, soft water, distilled water, solutions colloids and suspension, types of solution, dissolution, effect of temperature and pressure on the solubility of gases, liquids and solids in water, ionisation, ionic reaction, strong and weak acids, pH scale, rates of reaction and chemical equilibrium, factors affecting reaction rates, Le-Chattelier’s Principle, Law of Mass Action. Carbon, structure of carbon atom, allotropic forms of carbon. Hydrocarbon, Saturated and Unsaturated, homologous series, petro-chemicals and petro-chemical, combustion and its type, fire extinguishers, Fuels (solids, liquid and gaseous), characteristics of a good fuel, calorific value.

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Mathematics

Set language and notation, the number system, Numbers and fraction, functions, their values and graphs, mapping system of equations, inequations and their graphical representation, consistent inconsistent and dependent equations, simultaneous equations and their solution, quadratic polynomials, logarithm to the base 10, properties of logarithm, computation using log tables (percentage, profit and loss, discount, simple and compound interest), Areas of Triangles, parallelogram, trapezium and circles, surface area and volume of a cuboid, cube, cone and sphere, field book, lines, angles and triangles, theorems and problems based upon vertically opposite angles, congruence of triangles (SAS, ASA, SSS and RHS), properties and problems based upon them, similar triangles, theorems of similar triangles and proportion, Pythagoras theorem and their problems, quadrilateral, theorems of parallelograms and Rhombus and their problems, circle through three points, Equal chords are equidistant from the centre and converse, theorem on angle subtended at centre by an area of a circle, angle in a semi-circle is right angle and converse. Theorems on alternate segment, theorem on parallelograms and triangles on the same base and between the same parallel, construction of triangle, quadrilateral, circumcircle, incircle and excribed circles of a triangle, trigonometrical ratios of angles, sin, Cos, Tan for 00, 30°, 45°, 60°, and 90° Simple identifies, height and distance problems with the use of trigonometric tables, collection and presentation of date, frequency distributions, bar charg, frequency polygons, histograms and cumulative frequency graphs, piecharts and pictographs, mean, raw and grouped data.
JMI Discussion

entrance test
By Devendra  on : 25, Mar, 2008, 12:07:30 AM (IST)
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