Rajasthan Pre Engineering Test or RPET is conducted by the Board of Technical Education Rajasthan. HSC passed candidates who qualify the entrance test can seek admission to engineering degree, in recognized colleges of Rajasthan. Questions on Physics, Chemistry, and Mathematics are asked for this entrance test. Topics like Dynamics of a Particle, Simple Harmonic Motion, Intermolecular Forces, Radiation, Wave Motion and Electrostatics are included under Physics. From chemistry, aspirants can expect questions on Periodic Law, Chemical Bonding, Chemical Kinetics, Acids and Bases, and so on.

Syllabus for Physics

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

Dynamics of a System of Particles

• Angular acceleration
• Angular momentum
• Centre of mass
• Combined translational and rotational motions
• Kinetic energy of rotation
• Moment of inertia
• Moment of inertia
• Motion under external forces
• Parallel and perpendicular axes theorems
• Radius of gyration
• Rigid bodies
• Torque

Simple Harmonic Motion

• Displacement
• Acceleration
• Compound pendulum as a rigid oscillating body
• Damped harmonic oscillations
• Graphical and mathematical representation
• Kinetic and potential energies
• Lissajous figures
• Mass-spring system
• Simple pendulum
• Velocity

Intermolecular Forces

• Angle of contact
• Attractive and repulsive forces
• Determination of surface tension
• Elasticity
• Hooke’s law
• Surface tension
• Three states of matter
• Van der Waals and metallic bondings
• Young’s modulus

First Law of Thermodynamics

• Adiabatic Process
• Dependence of work and heat on path
• Internal energy
• Isobaric Process
• Isochoric Process
• Isothermal Process
• Mayer’s relation
• Specific heats of an ideal gas

Radiation

• Black-body
• Kirchhoff’s law
• Stefan’s law
• Newton’s law of cooling
• Black-body spectrum
• Wien’s law

Wave Motion

• Progressive wave
• Stationary waves
• Vibration of strings
• Doppler’s principle and its applications

Nature of Light

• Coherent sources
• Diffraction at a circular obstacle
• Electromagnetic nature of light waves
• Fresnel’s biprism
• Fresnel’s half -period zones
• Huygen’s principle
• Light as wave motion
• Measurement of wavelength
• Plane and spherical waves
• Quantum nature of light
• Rectilinear propagation of light
• Reflection and refraction at a plane surface

Electrostatics

• Capacitance
• Capacitors in series and parallel
• Conservation and quantization of charge
• Coulomb’s law
• Electric field
• Electric field and potential due to a dipole
• Electric flux
• Electric potential and potential difference
• Energy stored in a capacitor
• Gauss’s law and its applications in simple cases
• Superposition principle

Electric Circuits

• Kirchoff’s laws
• Wheat-stone bridge
• Potentiometer

Magnetic Field

• Ammeter
• Biot-Savart and Ampere’s laws
• Electromagnetic induction
• Energy stored in an inductor
• Faraday’s and Lenz’s laws
• Magnetic field
• Magnetic moment of a current loop
• Moving coil galvanometer
• Self and mutual inductances
• Transformer
• Voltmeter

Alternating Current Circuits

• Impedance and reactance
• Inductor, capacitor and their series combinations
• Instantaneous and average power in ac circuits
• Phase relations between voltage and current in a resistor
• Power factor
• Rotating coil in a magnetic field

Modern Physics

• Beta and gamma rays
• Binding energy
• Bohr’s orbits
• Bohr’s theory of hydrogen
• Davisson and Germer experiment
• De Broglie hypothesis
• Laws of disintegration
• Nuclear energy by fission and fusion
• Photoelectric effect
• Photons
• Radioactivity
• Thomson’s experiment
• Uncertainty principle

Syllabus for Chemistry

Classical Model of an Atom

• AufBau principle
• Bohr model of an atom
• Calculation of radius of the Bohr’s orbit,
• Hund’s rule
• Isotopes
• Pauli’s exclusion principle
• Quantization of electronic energy levels

The Periodic Law

• Periodic Table
• Electron affinity
• Electro-negativity
• Electronic configuration and the Periodic Table
• Elementary ideas about ionization potential
• Periodicity in properties
• Position of hydrogen

The Theory of Chemical Bonding

• The ionic bond
• Characteristic properties of ionic compounds
• Covalent bond
• Overlapping of orbitals
• Co-ordinate bond
• Oxidation number

Chemical Equilibrium and Ionic Equillibria

• Applications to analytical chemistry
• Arhenius theory
• Dissociation theory
• Generalized expression of law of mass
• Hydrolysis
• Ionic product of water
• Solubility product

Chemical Kinetics

• First and second order reactions
• Order and Molecularity of reaction
• Photochemical reactions

Acids and Bases

• Crystalline and amorphus solids
• Dissociation of acids
• Hydrogen and hydroxyl ions in aqueous solution
• Ion electron concept
• Lewis concept of acids
• Oxidation-reduction
• Solid and liquid state of matter
• Theory of indicators for acid- alkali titrations

Syllabus for Mathematics

Algebra

• Complex number
• Graphical representation of complex numbers
• Triangle inequality
• Complex conjugate co-ordinates
• Roots of a complex number

Quadratic equations and expressions

• Arithmetic, geometric and harmonic progressions
• Binomial theorem
• Mathematical induction
• Permutations and combinations
• Roots and coefficients

Matrices

• Addition of Matrixes
• Inverse of a matrix
• Subtraction and multiplication of Matrixes
• Transpose and adjoint of a matrix

Trigonometry

• De Moivre’s theorem
• Hyperbolic and inverse hyperbolic functions
• Separation of real and imaginary parts of a complex quantity

Co-ordinate Geometry

• Angle between two lines
• Area of a triangle
• Circle, equation of tangent and normal to a circle
• Coordinate axes and planes in three-dimensional space
• Coordinates of point in space
• Distance between two points
• Parabola, tangent and normal
• Parallel and perpendicular lines
• Parametric representation
• Rectangular cartesian co- ordinates
• Section formula
• Straight lines

Calculus

• Derivative of a function at a point
• Derivatives of composite functions
• Functions
• Geometrical interpretation of derivative
• Implicit functions and inverse trigonometrical, logarithmic and exponential functions
• Logarithmic differentiations
• Maximum and minimum values of a function
• Notion of limit and continuity of a function
• Tangents and normals

Other than this, topics related to vectors and probability is asked under the session of mathematics.