| SLIET Entrance Test (SET) : Sliet Entrance Test SET II
Conducted by Sant Longowal Institute of Engineering and Technology
(SLIET), Punjab
For admission to Diploma Programme
Paper-I : (English & Mathematics)
(i) English & General Knowledge,
- General Science
- Events of National & International Importance
- Fill in the blanks
- Correction of sentences
- Change of Voice
- Current Events
- Indian National Movement
- History of India
(ii) Mathematics
Algebra : Solution of quardratic equations, relationship between
their roots and coefficients. Equations reducible to quadratic form. Symmetric
Functions of roots. Formation of a quadratic equation with given roots.
Arithmetic progression, Geometric progression and Arithmetico-Geometric
series. Series of natural numbers (Sn, Sn2, Sn3).
Mathematical induction. Permutations and Combinations, Binomial theorem
for any index. Complex numbers. Algebra of complex numbers. Modulus and
argument of a complex number. Conjugate of a complex number. triangle
inequality. Cube roots of unity. De-Moivre's Theorem with simple applications.
Vectors, their Scalar product and cross product. Scalar triple product
and its applications.
Trigonometry : Trigonometric ratios and their relations. Trigonometric
Identities. T-ratios of allied angles. Addition and Subtraction formulae.
Transformation of product into sum or difference and vice-versa. T-ratios
of multiple and sub-multiple angles. Inverse trigonometric functions.
Solution of trigonometric equations. Solution of triangles. Heights and
distances.
Matrices and Determinants : Determinants of order 2 and
3, their elementary properties. Cramer's rule. Definition of a matrix.
Types of matrices. Equality of matrices. Operations on matrices. Singular
and non-singular matrices. Minors and cofactors. Adjoint and inverse of
a matrix. Application of matrices in solving simultaneous linear equations
in 2 and 3 variables.
Coordinate Geometry : Rectangular Cartesian co-ordinates. Distance
between two points. Section formulae. Locus of a point. Equation of a
straight line in various forms. Angle between two given lines. Condition
for two lines to be parallel or perpendicular. Distance of a point from
a line. Line through point of intersection of two given lines. Concurrency
of lines. Equation of a circle in various forms. Intersection of a circle
with a straight line. Equations of tangent and normal to a circle. Intersection
of two circles. Parametric representation of equation of a circle. Equations
of the parabola, ellipse and hyperbola in the standard forms. Condition
for y = mx + c to be a tangent and point of tangency.
Calculus : Function, its domain and range. Limit, continuity
and differentiability of a function. Derivative of sum, difference, product
and quotient of two functions. Derivative of algebraic, trigonometric,
exponential, logarithmic, hyperbolic and Inverse trigonometric functions.
Chain rule. Derivative of functions expressed in implicit and parametric
forms. Logarithmic differentiation. Tangents and Normals. Maximum and
Minimum values of a function. Integration as the inverse process of differentiation.
Integration by parts, by substitution and by partial fractions. Inergration
of rational and irrational functions. Definite integral and its application
for the determination of area (simple cases).
Paper-II: (Physics and Chemistry)
(i) Physics
Units and dimensions, SI Units, displacement, velocity, acceleration.
Projectiles, circular motion, concepts of relative motion; Newton's Law
of motion, concepts of uniformly accelerated frames, momentum, frictional
force, spring force and gravitational force, work, energy, power, conservation
of momentum and energy. Universal law of gravitation, gravitational potential
and fields, acceleration due to gravity. Angular momentum, torque, equilibrium
of rigid bodies. Hook's Law. Young's modulus, shear and bulk moduli, Bernoulli's
theorem and its applications. Simple concept of amplitude, frequency and
phase, longitudinal and transverse waves, harmonic and wave motions, superposition
of waves, progressive and stationary waves, vibration of strings and aircolumns,
resonance, beats. Velocity of sound, Echoes, Doppler effect. Thermal expansion
of solids, liquids and gases. Kinetic theory of gases, specific heats,
Isothermal and adiabatic process, laws of thermodynamics & their applications,
Stefans law and Newton's law of cooling, Coulombs law, electric fields
and electric potentials, lines of forces. Capacitance, dielectric constant,
parallel plate capacitor, capacitor in series and parallel, energy stored
in capacitor, charging and discharging of capacitors. Electric current,
Ohms law, series and parallel arrangements of resistance and cells. Kirchoffs
law and its applications to network, heating effects of current. Biot
Savarts law and its application. Force on a moving charge and on a current
carrying wire in magnetic field. Magnetic moment of a current loop, effect
of a uniform magnetic field on current loop, moving coil glavanometer,
voltmeter, ammeter. Electromagnetic induction, Faradays and Lenz's law,
definitions of self and mutal-inductance. Rectilinear propagation of light.
Reflection and refraction at plane and curved surface, total internal
reflection and critical angles. Deviation and dispersion of light by a
prism. Thin lens, combinations of mirror and lens, magnifications, microscope,
telescope.
Wave nature of light, interference, diffraction and polarization, Radioactivity,
alpha, beta and gamma radiations, laws of radioactivity, decay constant,
half life and mean life. Photoelectric effect. Bohr's theory of hydrogen
like atoms, x-rays production and properties. Atomic nucleus, binding
energy and its calculation. Fission and fusion processes.
Elementary concepts of thermionic emission and work function, diode valve
as a rectifier, Elementary ideas of conductor, semi-conductor and insulator,
intrinsic and extrinsic semi-conductor, P-N junctions as a rectifier.
Reference Book : Physics Class XI and XII Published by NCERT.
(ii) Chemistry :
Atomic Structure & Classification of Elements: Rutherford's
Model, spectra of hydrogen atom, Bohr's model, quantum numbers, Pauli's
exclusion principle, Hund's rule, Aufbau principle, electronic configuration
of elements, shapes of s,p and d orbitals. Periods and groups, classification
of elements with respect to s, p and d-block, periodicity in properties,
namely atomic and ionic radii, ionization energy, electronegativity and
oxidation states.
Stoichiometry : Calculations involving common oxidation reduction,
neutralization and displacement reactions, use of mole concept.
Behaviour of Gases : Avogadro's Law, equation of state
and ideal gas, Vander waal's equation, diffusion of gases, kinetic theory
of gases, average, root mean square and most probable velocity and their
relation with temperature, Gay Lussac's Law.
Solutions : Expressing concentration in terms of mole fraction,
molality, molarity and normality, Raoult's Law and molecular weight determination
from lowering of vapour pressure.
Chemical Equilibrium, Kinetics and Energetics: Law of mass action,
equilibrium constants Kc, Kp and their relationships, Le- Chatelier's
principle and its applications, ionic equilibria in aqueous solutions,
solubility product, common ion effect, acid-base theories (Bronsted and
Lewis), hydrolysis of salts, pH, buffer solutions. Rate of reaction, order
of reaction, molecularity, rate constant and half-life period of first
order reaction, variations of rate constant with temperature (Arrhenius
equation). Heat of formation, heat of combustion and heat of reaction,
Hess's Law, bond energy.
Electrochemistry : Faraday's Law of electrolysis, galvanic cells,
cell reactions, Nernst equation, standard potential, and electrochemical
series, e.m.f. of cells involving the following electrodes only: Zn/Zn++,
Fe++/Fe+++, Sn/Sn++,(Pt)H2/H+,Cl
2(Pt).
Ores and Minerals : Commercially important ores of iron, tin.
Their isolation, purification and properties, silicon, aluminum, tin,
lead, iron, copper, silver and zinc with their extractive metallurgy (chemical
principles and reactions only, industrial details excluded). i) Carbon
reduction method (iron and tin); ii) Self reduction method (copper and
lead); iii) Electrolytic reduction method (magnesium and alminium); iv)
Cyanide process (silver). Transition elements (only the first series)
definition, general characteristics properties viz. variable oxidation
states, colour [details of electronic transition excluded], paramagnetism,
[formation of complexes, stereochemistry excluded].
Preparation and Properties of the following Compounds : Oxides,
hydroxides, carbonates, bicarbonates, chlorides and alums, oxides and
chlorides of tin and lead, ferrous sulphate, Mohr's salt, ferric oxide
and ferric chloride, copper sulphate, oxide and sulphate of zinc, silver
nitrate and silver bromide. Hydrogen peroxide, carbon oxides and
carbides, silicones and silicone carbides, nitrogen and phosphorous, oxides
and oxy acids of ammonia, fertilizers, sulphur, oxides, sulphurous and
sulphuric acids, sodium thiosulphate and hydrogen sulphide, halogens,
oxyacids of chlorine, bleaching powder.
Isolation, Preparation and Properties of Non-Metals : Silicon,
nitrogen, phosphorous, oxygen, sulphur, fluorine, chlorine, bromine and
iodine (properties of allotropes of carbon, preparation and properties
of ozone included).
Alkanes, Alkenes Alkynes and Benzene: Preparation of alkanes (Wurtz
reaction and decarboxylation reaction), substitution reaction of alkanes
(including mechanism). Preparation by dehydrohalogenation of respective
alkyl halides and by dehydration of alcohols, addition reactions (Markownikoff's
and anti-Markownikoff's rule including mechanism, ozonolysis). Structure,
nitration, sulphonation, halogenation, acylation and alkylation reactions,
effect of o-, p- and m- directing groups in monosubstituted benzenes.
Characteristics Reaction of following : Alcohols (esterification,
dehydration, oxidation, reactions with sodium, phosphorous halides and
zinc-chloride/conc.HCl), phenols (halogenation, nitration, sulphonation
and Reimer-Teimann reaction), aldehydes and ketones (oxidation, reduction,
oxime and hydrazone formation, aldol condensation, Cannizaro's reaction,
haloform and Grignard reactions).
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