The Board of Technical Education, Rajasthan has announced that the Rajasthan Pre Engineering Test (RPET) - 2014 for admission to undergraduate programmes in different disciplines of Engineering (B Tech/ B.E) for academic session 2014–15 will be conducted on May 21, 2014.
Detailed Syllabus for Physics is as follows:
Measurement and Units: Dimensions of a physical quantity, uses of dimensional analysis, Errors in measurement.
Dynamics of a Particle: Newton's laws, motion in one, two and three dimensions, relative motion, inertial frames, circular motion, spring force, gravitational force, law of gravitation, variation of gravity with altitude, escape velocity, satellite motion, work, kinetic and potential energies, conservation of energy, momentum and angular momentum, elastic collisions in one and two dimensions.
Dynamics of a System of Particles: Centre of mass, motion under external forces, rigid bodies, rotation of a rigid body about a fixed axis, torque, angular acceleration, angular momentum, moment of inertia, radius of gyration, kinetic energy of rotation, combined translational and rotational motions, parallel and perpendicular axes theorems, moment of inertia of a ring, disc, cylinder and sphere. [ READ MORE ]
Detailed Syllabus for Chemistry is as follows:
Development of Classical Model of an Atom: Bohr model of an atom, calculation of radius of the Bohr's orbit, quantisation of electronic energy levels, Spectral evidence for quantisation, introductory concept of four quantum numbers, Pauli's exclusion principle, Hund's rule, AufBau principle, concept of the spatial distributions of s and p orbitals. Isotopes.
The Periodic Law: Long form of the Periodic Table. Electronic configuration and the Periodic Table. Periodicity in properties, elementary ideas about ionisation potential, electron affinity, electronegativity and atomic radii. Position of hydrogen.
The Theory of Chemical Bonding: The ionic bond, characteristic properties of ionic compounds. The covalent bond. Introductory concept of overlapping of orbitals, σ and π bonds, Co-ordinate bond. Oxidation number. Characteristic properties of covalent compounds, hybridisation as illustrated by common molecules like NH3, H2O, CH4, C2H4 and C2H2. [ READ MORE ]
Detailed Syllabus for Mathematics is as follows:
Algebra: Complex number as an ordered pair of real numbers; real and imaginary parts, absolute value, graphical representation of complex numbers, triangle inequality, complex conjugate co-ordinates, roots of a complex number.
Theory of quadratic equations and expressions; relation between roots and coefficients. Arithmetic, geometric and harmonic progressions. Permutations and combinations. Elementary applications of mathematical induction. Binomial theorem. Determinants of order two and three and their elementary properties.
Matrices: definition, addition, subtraction and multiplication, transpose and adjoint of a matrix, inverse of a matrix.
Trigonometry: De Moivre's theorem and its applications; hyperbolic and inverse hyperbolic functions, separation of real and imaginary parts of a complex quantity.
Co-ordinate Geometry: Rectangular cartesian co- ordinates, distance between two points, area of a triangle. Straight lines, angle between two lines, parallel and perpendicular lines. Circle, equation of tangent and normal to a circle. Pole, polar, radical axis. Parametric representation. Parabola, tangent and normal, its properties. [ READ MORE ]