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T.S.Chanakya Mumbai and Marine Engineering Research Institute, Kolkata.
Merchant Navy
Entrance Exam
For Indian male citizens Combined Entrance Examination for admission to the 3-year Navigation course leading to B.Sc. (Nautical Sciences) Degree on Training Ship Chanakya (formerly T.S. Rajendra), Mumbai and 4-year Marine Engineering Course at Marine Engineering Research Institute, Kolkata is held every year generally in the month of the May. Only male Indian citizens are eligible to appear in the entrance examination. They are required to take the Joint Entrance Examination, to be concluded by IIT’s on the month of May.
2. Seats: T.S. Chanakya, Mumbai-SO seats; M.E.R.I., Kolkata - 120 seats.
3. Minimum Qualification: Candidate must have passed Std. XII under the 10+2 system or equivalent examination with individual passing in Mathematics, Physics and Chemistry as separate subjects. Candidates who have appeared or intend to appear at any such examination will be accepted provisionally, provided they furnish proof of having passed the examination at the time of personal interview or by latest by the time of joining the courses.
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4. Age Limit: Candidates must not exceed the age limit of 20 years as on Oct. 1 of the year of examination. The upper age limit for Scheduled Castes and Scheduled Tribes candidates is 25 years.
5. Reservation of Seats : 15% seats are reserved for Scheduled Castes and 75% seats for Scheduled Tribes, provided suitable candidates are available.
6. Application Procedure: Details of training programme at the two institutions can be obtained in December/January from the (i) Directorate General of Shipping, Jahaz Bhawan, W.H. Marg, Ballard Estate, Mumbai-400033. (ii) T.S. Chankya, Karave, New Mumbai-400706, (iii) LBS College of Advanced Maritime Studies and Research, Hay Bunder Road, Mumbai-400033, (iv) Marine Engineering and Research Institute, Hay Bunder Road, Mumbai-400033, and (v) Marine Engineering' and Research Institute, P-19, Taratola Road, Kolkata-700038 by sending a self - addressed envelope (30 cm x 12 cm) bearing the postage alongwith a crossed Indian postal order.
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7. Selection: The eligible candidates are required to appear at a Joint Entrance Exam. * The subjects of the written test, the time allowed and the maximum marks for each subject will as under:
Paper |
Subject |
Max. Marks |
Time Allowed |
1. |
English |
100 |
3 hours |
2. |
Mathematics |
100 |
3 hours |
3. |
Physics |
100 |
3 hours |
4. |
Chemistry |
100 |
3 hours |
N.B. (i) Candidates need only to obtain 35% marks in English
Papers and marks secured will not be added to the total marks.
(ii) A candidate has, however, to secure atleast pass marks (35%) in each of the remaining papers in order to be considered for inclusion in the merit list and called for interview (100 marks).
8. Centres of Examination : Ahmedabad, Bangalore, Bhopal, Mumbai, Kolkata, Chandigarh, Cuttack, Delhi, Ernakulam, Guwahati, Hyderabad, Jaipur, Lucknow, Chennai, Port Blair, Ranchi, Srinagar.
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9. Interview: Based on the result of written examination, candidates will be called for a personal interview and Medical Examination at Mumbai.
10. Medium of Training: The Training Programme at the
Institutions will be conducted in English only.
Detailed Syllabus
English : Guided Composition-essay and paragraph to test presentation of ideas and clarity of expression, reading comprehension, precise writing, English grammar, usage, structure and forms of transformation, vocabulary, ability to recognise and use common and useful English words and phrase.
Physics: Units and dimensions, SI Units. Displacement, velocity, kinematics in one and two dimensions with constant acceleration, projectiles, concepts of relative motion, circular motion.
Newton's laws of motion, concepts of inertial frames, momentum. Forces: Friction, spring force, tension and gravitational force, work, energy and power, conservation of momentum and energy. Universal law of gravitation variation of the acceleration due to gravity with altitude and latitude, Kepler's law, motion of planets and satellites assuming circular orbits.
Simple harmonic motion.
Centre of mass of a system of particles, elastic and inelastic collisions in one dimensions.
Rigid bodies: Moments of inertia of simple shapes like ring, disk, cylinder and sphere, angular momentum torque. Conservation of angular momentum.
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Hooke's law: Young's modulus, shear and bulk moduli. Principle of buoyancy, pressure in a fluid.
Wave motion: Concepts of amplitude, frequency and phase, longitudinal and transverse waves, progressive and stationary waves, vibration of strings and air columns, resonance, beats,
velocity of sound, echoes, Doppler’s effect, quality and pitch of sounds.
Thermal expansion of solids, liquids and gases. Ideal gas laws, absolute temperature, specific heat, Cp' Cv’ and y; isothermal and adiabatic processes. Calorimetry, latent heat, equivalence of heat and work, conduction, convection and radiation. Elements of kinetic theory of gases, pressure of an ideal gas, equipartition of energy, temperature. Coulomb's law, electric field, lines of force, electric potential, capacitance, dielectric constant, parallel plate capacitors, capacitors in series and parallel, energy stored in a capacity.
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Electric current: Ohm's law, series and parallel arrangements of resistances and cells, Kirchoffs laws, wheat-stone bridge and applications, heating effects of current, magnetic field due to a current, magnetic moment of a current loop, force on a moving coil galvanometer, voltmeter, ammeter, electromagnetic induction. Faraday's and Lenz's laws, self mutual inductances.
. Rectilinear propagation and velocity of light, reflection and refraction at plane and curved surfaces, total internal reflection, critical angle, prism, minimum deviation, disperdon, spectrometer and spectra. Curved mirrors and thin lenses, magnification, microscope, telescope.
Wave nature of light, interference phenomena. Young's double slit experiment, frige width.
Cathode rays, law of radioactivity, nature of alpha, beta and gamma rays, laws of radio-active decay, half-life, photons, photoelectric effect. Bohr's theory of hydrogen-like atoms, X-rays, production and properties. Atomic nucleus, binding energy, nuclear energy by fission and fusion. Diode rectification and triode amplification.
Chemistry : Electron, proton and neutron: Constitution of nucleus; properties of alpha, beta and gamma rays, Rutherford's scattering experiment, Bohr's atomic model (mathematical details excluded), quantum numbers, Pauli's exclusion principle, Hund's rule, Aufbau principle, electronic configuration of elements (up to atomic number 36), shapes of s, p and d orbitals.
Periodic Tables: Periods and groups, classification of elements with respect to s, p and d-blocks, periodicity in properties, namely, atomic and ionic radii, ionisation energy, electron affinity and electronegativity.
Chemical Bond: Electrovalent (ionic) and covalent (including coordinate) bonds, polarity in molecules, dipole moment (qualitative aspect only), concept of hybridisation involving s and p orbitals only, hydrogen bond.
Behaviour of Gases: Avogadro’s law, equation of state for an ideal gas, diffusion of gases, kinetic theory of gases, root mean square velocity and its relation with temperature, average velocity, Gay Lussac's law.
Stoichiometry: Balancing equations for chemical reactions (including oxidation-reduction reactions using ion-electron and oxidation number methods), calculations involving oxidation reduction, neutralisation and displacement reactions, use of mole concept.
Solutions: Expressing concentration in terms of mole fraction, molality, molarity and normality, lowering of vapour pressure, Raoult's law.
Concepts of Chemical Equilibrium: Laws of mass action, equilibrium constant, exothermic and endothermic reactions, Le Chatelier's principle and its applications, ionic equilibria in aqueous solubility product, common ion effect, acid-base equilibria, hydrolysis of salts, pH, buffer solutions. Simple numerical problems based on above.
Thermochemistry: Heat of formations, heat of combustion and heat of reaction, Hess's law.
Chemical Kinetics: Rates of reactions, order of reactions, rate, constant and half-life period of first order reactions, elementary concepts of catalysis, Faraday's laws of electrolysis, galvanic cells, cell reaction and e.m.f. of cells involving the following electrodes only: Zn/Zn++; Cu/Cu++; Fe/Fe++; Sn/Sn++; Pt, H2/H+; Cl/Cl2, Pt.
Electrochemical Series: Hydrogen and hydrogen peroxide preparation, properties and uses.
Sodium, Potassium, Magnesium minerals, extraction, properties and hydroxides, carbonates, bicarbonates.
Aluminium: Minerals, extraction, properties and uses, compounds, alumina, aluminium, chloride and alums.
Carbon: Occurence, allotropes and oxides.
Tin and Lead: Important minerals, extraction, properties and uses, compounds, oxides and chlorides.
Nitrogen and Phosphorous: Sources, compounds, oxides and oxyacids, ammonia, fertilisers.
Oxygen and Sulphur: Properties, allotropes, compounds, hydrogen sulphate, sodium thiosulphate, oxides, sulphurous and sulphuric acids.
Chlorine, Bromine and Iodine: Preparation, properties and uses, compounds, hydrochloric acids, oxy-acids of chlorine; bleaching powder.
Iron, Copper, Silver and Zinc :Occurence, extraction; refining properties and uses, compounds, ferrous sulphate; ferric oxide", ferric chloride, copper sulphate; silver nitrate, silver bromide; zinc oxide and zinc sulphide.
Note: In the case, all the compounds mentioned above their preparation, properties and uses are included. Concepts of hybridisation of carbon, sigma and pi-bonds, resonance, homologous series, structural isomerism, nomenclature.
Alkanes: Substitution reactions, alkanes and alkynes, addition
reactions, ozoanalysis.
Benzene: Structure, nitration, sulphonation, halogenation and acylation reaction.
Characteristics reactions of the following functional groups: Alcohol (esterification, dehydration, oxidation, reactions with sodium and phosphorus halides), Phenol (halogenation, nitration, sulphonation); aldehyde and ketone (Oxidation, reduction oxime and hydrazone formation, aldol, condensation and Canizzaro's reaction), carboxylic acid (formation of ester, amide and acid chloride).
Preparation, properties and uses of the following: Ethanol, ethylene, acetylene, di-ethylether, chloroform; carbon tetrachloride formaldehyde, acetaldehyde, acetone, formic and acetic anhydride, ethyl and aniline.
Mathematics
Algebra: Complex number as an ordered pair of real numbers, geometrical representation, real and imaginary .parts, absolute value and conjugation, triangle inequality.
Theory of quadratic equations and expression: Relationship between roots and coefficients, linear and quadratic in equations in one variable; arithmetic, geometric and harmonic progressions, permutations and combinations, elementary applications of mathematical induction. Binomial theorem for a positive integral index.
Determinants of order two and three and their elementary properties, solutions of simultaneous linear equations in two and three variables.
Coordinate Geometry: Rectangular Cartesian co-ordinates, distance between two points, area of a triangle, straight line, angle between two lines, parallel and perpendicular lines, distance of a point from a line, circle, equation of tangent and normal to a circle, parametric representation.
Trigonometry: Trigonometric functions and their graphs, additions and substraction formulae, multiple and submultiple angles, general solutions of trigonometric equations, solutions of triangles, simple applications in finding heights and distances.
Calculus: Functions, into, onto, and one-one functions, polynomial, rational, trigonometric, logarithmic and exponential functions.
Notion of limit and continuity of a function, derivative of a point, derivatives of sum, differences, product and quotients of functions, derivatives of polynomial, rational, trigonometric, inverse trigonometric, logarithmic and exponential functions, geometrical interpretation of derivative, tangents and normals, sign of the derivative and monotonicity, maximum and minimum values of function, derivatives of composite and implicit functions.
Integration as the inverse process of differentiation, integration by parts and by substitution, definite integral and its application of areas (simple cases).
Vectors: Additions of vectors, multiplications by a scalar, scalar product, cross product and scalar triple product with geometrical applications.
Probability: Probability, sum and product laws, conditional probability.
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