Syllabus For KLUEEE K.L University Engineering Entrance Exam : kluniversity.in
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Entrance Exam : KLUEEE Engineering Entrance Examination
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KLUEEE Syllabus :
Physics Syllabus :
Unit 1 : Units and dimensions
Related : Syllabus for OET Online Entrance Test Manipal University : www.syllabus.gen.in/422.html
Fundamental units in the CGS & SI systems – Definitions of SI Units – Supplementary and derived units – Dimensions of Physical quantities – Application of Dimensional Analysis – uses – examples – Limitations of dimensional analysis.
Errors in measurements – variation and average values – Number of observations – Ideas of standard deviation and mean deviation- Systematic and random errors – Significant figures and rounding off – Evaluation of percentage of errors.
Unit 2 : Elements of vectors
Addition and subtraction of Vectors – Laws of addition of vectors – Equal and null vectors – Unit vectors – Unit vectors in Cartesian co-ordinate system – Position vector and its magnitude – Parallelogram law of vectors – Expression for the resultant vector.
Triangle law and polygon law of vectors – Application to relative motion of a boat in a river – Multiplication of a vector with scalar. Scalar product with Examples of work and energy. Vector product with examples of torque and angular momentum.Vector and Scalar products of unit vectors.
Unit 3 : Kinematics-Dynamics
Equations of motion in a straight line under uniform acceleration – Equation of motion of freely falling body, vertically projected body from ground and from a height – Two dimensional motion – Projectiles with examples – Path of a projectile – maximum height, time of flight and range.
Newton’s Laws of motion – Concepts of inertia, momentum force, impulse and types of forces – Collision of two bodies in one dimension – one body at rest – two bodies moving in the same and opposite directions – Elastic and inelastic collisions – Coefficient of restitution.
Unit 4 : Work, Power, and Energy
Definition and units – Expressions for P.E. & K.E. – Work-energy theorem – Law of conservation of energy.
Unit 5 : Centre of Mass
Definition – Co-ordinates of center of mass – Velocity, Acceleration – Characteristics of center of mass – Examples in the case of two dimensional motions – Laws of motion of center of mass – Explosion.
Mathematics Syllabus :
Unit 1 : Algebra
Functions – Types of functions – Algebra of real valued functions, Surds and Logarithms, Mathematical Induction and its applications, Permutations and combinations – Linear and Circular Permutations – Combinations, Binomial Theorem – for a positive integral index – for any rational index – applications – Binomial coefficients – Partial Fractions Exponential and Logarithmic Series
Quadratic Expressions – Quadratic inequations, Theory of Equations – Relations between the roots and coefficients in any equation – Transformation of equations – reciprocal equations – cubic equations – Cardan’s solution – Biquadratic equations – Ferrari and Decarte’s solutions.
Matrices and Determinants – Definition – Types of Matrices – Algebra of Matrices – Properties of determinants of 2X2 and 3X3 order matrices – Simultaneous Linear equations in two and three variables – Rank of matrix. Complex numbers – their properties – Demoivre’s Theorem – Applications – Expansions of Trigonometric functions.
Unit 2 : Trigonometry
Trigonometric functions – Graphs – Periodicity, trigonometric ratios of compound angles, multiple and sub-multiple angles, Transformations, Trigonometric Equations, Inverse Trigonometric functions, Hyperbolic and inverse hyperbolic functions, Properties of Triangles, Heights and Distances (in two dimensional plane)
Unit 3 : Vector Algebra
Scalar Product – Angle between two vectors, properties of scalar product, applications of dot products. Vector Product, Right handed and left handed systems, properties of vector product, applications of cross product. Product of three vectors – Scalar triple product, properties of scalar triple product, vector triple product, vector product of four vectors, scalar product of four vectors.
Lines – Equation of a straight line passing through a given point and parallel to a given vector, passing through two given points, angle between two lines. Skew lines – Shortest distance between two lines, condition for two lines to intersect, point of intersection, collinearity of three points.
Planes – Equation of a plane, passing through a given point and perpendicular to a vector, given the distance from the origin and unit normal, passing through a given point and parallel to two given vectors, passing through two given points and parallel to a given vector, passing through three given non-collinear points, passing through the line of intersection of two given planes, the distance between a point and a plane, the plane which contains two given lines, angle between two given planes, angle between a line and a plane.
Sphere – Equation of the sphere whose centre and radius are given, equation of a sphere when the extremities of the diameter are given.
Chemistry Syllabus :
Unit1 : Atomic Structure
Electromagnetic Radiation: Wave nature – Wave Characteristics: Wave length – frequency – Wave number – units to express these quantities – relationship between them, Atomic Spectrum of Hydrogen – different regions of the spectrum – wave number of the spectral lines in these regions (Rydberg’s equation),. Lyman, Balmer , Paschen , Bracket and Pfund series.
Atomic Models : Rutherford’s model, merits and demerits, Bohr’s Model: Postulates – formulation of the model – Expressions for the energy and radius of the Hydrogen Atomic orbits with derivations – limitations. Zeemen, Stark effects – Sommerfields modifications.
Quantum Numbers: Significance – writing quantum numbers for differentiating electrons in atoms – Pauli’s exclusion principle. Wave nature of electron: De-Broglie wave equation – Heisenberg’s uncertainty principle, (Cartesian coordinates equation only).
Orbitals: Shapes of s,p,d orbitals – orbitals energy sequence – aufbau principle – Hund’s rule. Electronic configuration of elements (from atomic no: 1 to 30 by nlx method) Stability and magnetic behaviour of atoms based on concepts of electronic configuration.