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  Home >> Engineering Colleges in India >> Birla Institute of Technology and Science - Pilani

Birla Institute of Technology P.O. Mesra, Ranchi-835215
(Aff. Ranchi University)
The Entrance Examination for admission to B.Sc. (Engg.) course of the Birla Institute of Technology, Ranchi is held every year generally in the month of May.
2. Course
4-year B.E. Degree Courses:
(i) Civil Engineering (60 seats)
(ii) Electrical & Electronics Engg. (45 seats)
(iii) Mechanical Engg. (90 seats)
(iv) Electronics & Communication Engg. (60 seats)
(v) Computer Sciences Engineering (30 seats)
(vi) Production Engg. (30 seats)
(vii) Polymer Engg. (30 seats)
5-year B. Arch. degree course Architecture (20 seats)

3. Reservation of Seats: SC-15%, ST-71%.
4. Minimum Qualification: I.Sc. or 10+2 or equivalent examination with Physics, Chemistry and Mathematics.
5. Age Limit: Minimum 17 years and maximum 21 years.
Upper age limit is relaxable by 5 years for SC/ST candidates on October 1 of the year of examination.
6. Method of Selection: Admission is made through a written test and interview held for the purpose in the last week of May of the year of admission. Test will consist of Qualifying Paper and three Main Papers, viz. in Physics, Chemistry, Mathematics. Each paper will be of two hours' duration. Candidates would also have to appear for an Aptitude Test in B. Arch.
All qualified candidates have to undergo a medical examination to declared fit for the examination.

7. Medium of Examination: English.
8. Examination Centres: North Zone (Punjab, Chandigarh, U.P.): Allahabad, Bareilly, Chandigarh, Dehradun, Ghaziabad, Kanpur, Lucknow, Varanasi.
East Zone (West Bengal, Assam, Tripura, Mizoram, Arunachal Pradesh, Manipur, Sikkim, Nagaland): Kolkata, Guwahati. Central Zone (Delhi, M.P., Jammu & Kashmir, Himachal Pradesh, Haryana): Delhi, Bhopal, Chandigarh, Gurgaon.
South Zone (Tamil Nadu, Andhra Pradesh, Karnataka, Andamans, Orissa): Bangalore, Bhubaneshwar, Chennai, Hyderabad, Trivandrum,
Vijayawada. West Zone (Maharashtra, Gujarat, Rajasthan, Goa, Daman and Diu, Lakshadweep): Ahmedabad, Jaipur and Mumbai.
Bihar and Jharkhand: Bhagalpur, Bokaro, Jamshedpur, Dhanbad, Muzaffarpur, Patna, Ranchi.

9. Application Procedure: Application form can be obtained by post on preparation of requisite amount by Postal Order, payable to the Registrar, Birla Institute of Technology, Mesra, Ranchi, during the months of January/February. The request should accompany it self-addressed and stamped envelope of size 26 cm x 12 cm, bearing postage stamps, clearly mentioning the form required, i.e., Bachelor of Engg. or B. Arch. as the case may be.
10. Last Date: The last date for receipt of completed application form is last week of March.

Detailed Syllabus
B.E: Physics, Chemistry and Maths.
Mathematics
Algebra: Algebra of complex numbers, modulus and arguments, triangle inequality, cube roots of unity. Theory of quadratic equations and expressions, relations between the roots and coefficients sign of a quadratic expression.
Trigonometry: General solution in trigonometric equations, inverse circular function. Solution of triangles, problems on heights and distances. Co-ordinate Geometry of two dimension: Equations of the conic sections in the standard form, focus, directrix and eccentricity of the conic sections, equations of tangents and normals.
Calculus: Function, into, onto, one to one, composite function, inverse of a function.

Limits, continuity of functions. Differentiation of algebraic, logarithmic and inverse functions, sign of derivatives and monotonicity.Integration by transformations, by method of substitution and integration by parts, definite integrals and its properties

Vectors: Scalar and vector products of two and three vectors.
Statics and Dynamics: Composition and resolution of forces, Moments, General conditions of equilibrium of co-planar forces, Friction, Rectilinear motion under acceleration, Projectiles. Probability and Statistics: Probability, addition and multiplication laws, conditional probability, frequency distribution, measure of central tendencies, standard deviation and variance.

Chemistry
Stoichiometry: Calculations involving common oxidation reduction reactions, neutralisation, displacement reaction, mole concept Atomic weight, equivalent weight, gas laws, Avogadro's law, expressing connection in terms of mole fraction, molarlity, molarity, Eudiometry. Atomic structure: Electron, proton, neutron, constitution of nucleus, electronic configuration, quantum number, Pauli's exclusion principle, Hund's rule, radioactivity, Alpha, Beta and Gamma rays, decay laws, half-life, isotopes. Chemical bonding, ionisation potential, electronegativity, electron affinity, Electronic theory of valency, type of bonding.

Modern concept of Redox Reaction, balancing on the basis of ion electron and oxidation number method. Modern concept of acids and bases. Faraday's Laws of electrolysis. Thermo Chemistry: Heat of reaction, heat of formation, heat of combustion, Hess's law, Bond energy

Law of mass action, equilibrium constant, Le Chatelier's principle, chemical kinetics rate of reaction, order of reaction, first order of reaction.
Metallurgical operations: Minerals, ores, gangue, refractory materials, flux slag. General methods of concentration of ores, General methods of extraction and refining of metals with specific examples.
Periodic classification of elements : Periodic laws and tables. Periodicity of ionisation potential; electron affinity: atomic radii volume, ionic radii and electronegativity, classification of elements in s, p, d, and f blocks. Difference between metals and non-metals, transition and non transition metals.
Chemistry of H, Na, Cu, Mg, Ca, Zn, AI, Fe, Ni, S, P, 0 and
halogens.Classification and structural Formulae of organic compounds nomenclature. Homologous series, structural isomerism.

Study of the following compounds with respect to their preparation and properties: (i) Alkanes: Methane, Ethane, Idea primary, secondary and tertiary carbon. Petroleum refining and cracking. (ii) Alkenes: Ethylene, (iii) Alkynes: Acetylene, (iv) Halogen derivatives of alkanes: Ethyl bromide and ethyl Iodide, Chloroform, (v) Alcohols: Methyl alcohol, ethyl alcohol, fermentation, (vi) Ether: Diethyl ether, (vii) Aldehydes and Ketones: Formaldehyde, acetaldehyde, acetone, (viii) Fatty acids: formic acid, acetic acid, (ix) Definition of primary, secondary and tertiary amines, Mathylamine, ethylamine, (x) Aromatic compounds: Introduction to aromatic compound, e.g., benzene, nitrobenzene, aniline and phenol.

Physics
Mechanics and Sound: Motion of particles under various types of forces. Simple Harmonic motion, Rotational motion, Friction, Laws of friction, Inclined plane. Motion of Fluids, Elastic constants waves (progressive and stationary), Super-position of waves. Intensity of sound, Velocity of sound, Doppler Effect.

Heat and Thermodynamics: Mechanical equivalent of heat, First law of thermodynamics, Equation of state for ideal and real gases, Graphical representation of reversible and irreversible processes, Thermodynamic scale of temperature, Entropy, Black body spectrum. Electromagnetism: Magnetic induction, Earth as a magnet, Horizontal intensity, declination dip. Deflection and vibration magnetometers.
Coulomb's Law, Electric lines of force, Distribution of electric charges on conductors, Electric intensity, Electric potential, Capacitor, Energy of a capacitor.
Ohm's law. Specific resistance, Kirchoffs law of networks, Measurement of resistance by Wheatstone bridge, potentiometer. Faraday's laws of electrolysis. Primary and secondary cells, Heating effects of electric current, Galvanometers, Ammeters, Voltmeters
Faraday's law of Electromagnetic induction, Lenz's law; Self and mutual induction, Principle of simple dynamo, Thermo electricity. Optics: Reflection and refraction from plane and spherical surfaces, critical angle, Total internal reflection, lenses and prisms, Dispersion and Spectra, Archromatic combination of prisms and  lenses, simple optical instruments. Telescope, Microscope, Spectrometer, Photometry, Velocity of light, Interference of light, Young's double slit experiment.
Modern Physics: Discharge of electricity through gases, Bohr's theory ofH2 atom. Thermionic emission, Diode as a rectifier, Triode as an amplifier. Semi-conductors, PN junction diode. Crystal structure (simple cube). Bragg's law. X-ray their production and properties, Radioactivity, Atomic nucleus, Proton and neutron, Photoelectric effect, Wave particle duality.

Aptitude Test For Architecture
Free Hand Drawing: Sketching of common use articles or furniture’s of group of things to proportion, from memory. Free Hand Drawing of a given object or pattern on enlarged or reduced scale. Imagination & Creativity Test: Candidate's imagination to conceive creative story out of a given set of pictures of words and express it properly within a limited number of words.
Architectural Awareness: Awareness about:
(i) Monuments, architecture of places of general interest or of architectural importance.
(ii) Contemporary building-General interest of candidate in design and architecture.
Aesthetic Sensitivity and Colour Sense: To develop an aesthetically pleasing and balanced abstract 2-Dimensional and 3-Dimensional pattern of given elements within a specified space.
Perception and application of colour and its various shades and shadows in water poster colours or any other medium by design of unit pattern of tile, cover design, greeting/invitation card, etc.
Note: Candidates must being their own small drawing board, pencil, erasers, instruments, colours, brushes, etc.

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