HITSEEE 2025 Syllabus

Physics and measurement

• Errors in measurement
• Dimensions of physical quality
• Dimensional analysis and

Laws of motion

• Force and inertia
• Newton’s first/second/third laws of motion
• Static and kinetic friction
• Laws of friction
• Dynamics of uniform circular motion

Kinematics

• Uniform and non-uniform motion
• Scalars and vectors
• Motion in a plane
• Work, energy and power
• Kinetic and potential energies

Gravitation

• Universal law of gravitation
• Kepler’s law of planetary motion
• Gravitational potential energy
• Escape velocity

Rotational motion

• Basic concepts of rotational motion
• Rigid body rotation
• Equations of rotational motion
• Moment of inertia

Thermodynamics

• Thermal equilibrium
• Heat, work and internal energy
• First/second law of thermodynamics

Properties of solids and liquids

• Hooke’s law
• Pascal’s law (its applications)
• Surface energy and surface tension
• Newton’s law of cooling

Kinetic theory of gases

• Kinetic energy and temperature
• Degrees of freedom
• Avogadro’s number

Oscillations and waves

• Periodic motion
• Wave motion

Current electricity

• Electric field and current
• Electrical resistivity
• Kirchoff’s law
• Color code of resistors

Communication systems

• Amplitude and frequency modulation
• Bandwidth of signals
• Basic elements of communication system

Atoms and nuclei

• Rutherford’s model of atom
• Bohr model
• Mass and energy relation
• Nuclear fusion and fission

Optics

• Reflection/refraction of light at plane/spherical surfaces
• Lens formula
• Power of a lens
• Wave optics
• Mirror formula

Some basics concepts of chemistry

• Matters , its nature
• Atom, molecule, compound and elements -concept
• SI units
• Chemical equations and stoichiometry

States of matter

• Gaseous state
• Liquid state
• Solid state

Chemical bonding and molecular structure

• Ionic bonding
• Covalent bonding
• Quantum mechanical approach to covalent bonding

Atomic structure

• Thomson/rutherford atomic models (limitations)
• Bohr model of hydrogen atom
• Quantum mechanical model of atom
• Shapes of p, s, and d orbitals

Chemical thermodynamics

• First/second law of thermodynamics
• Heat capacity and molar heat capacity
• Concept of heart, work and energy, enthalpy

Solutions

• Methods for expressing concentration of solutions
• Ideal and nonideal solutions
• Colligative properties - dilute solutions
• Abnormal value of molar mass

Equilibrium

• Equilibria involving physical processes
• Henry’s law
• Ionic equilibrium

Redox reactions and electrochemistry

• Kohlrausch’s law
• Redox reactions
• Balancing of redox reactions

Surface chemistry

• Colloidal state
• Preparation/properties of colloids
• Tyndall effect
• Adsorption from solutions

Environmental chemistry

• Environmental pollution
• Formation of ozone layer, its depletion
• Organic wastes and chemical pollutants
• Soil pollution
• Gaseous pollutants

D and F block elements

• Transition elements
• Inner transition elements
• General trends in first row transition elements

Hydrogen

• Hydrogen position in periodic table
• Properties/uses of hydrogen
• Chemical properties of water

S block elements

• Group 1 and 2 elements
• Sodium carbonate and sodium hydroxide
• Industrial uses of lime

P block elements

• Group 13 to group 18 elements
• Physical and chemical properties of elements
• Unique behavior of the first element in each group

Phenols, ethers and alcohols

• Alcohols
• Phenols
• Ethers
• Aldehyde and ketones

Organic compounds containing nitrogen

• Amines
• Diazonium salts
• Nomenclature

Polymers

• Classification/general introduction of polymers

Chemistry in everyday life

• Chemicals in food
• Chemicals in medicines

Sets, relations and functions

• Sets and representation
• Power set
• TYpes of relations
• Composition of functions

Complex numbers and quadratic equations

• Square root of complex numbers
• Triangle inequality
• Relation between roots and coefficients

Matrices and determinants

• Matrices
• Algebra of matrices
• Properties of determinants
• Area of triangles using determinants

Mathematical induction

• Principle of mathematical induction, simple applications

Permutations and combinations

• Counting’s fundamental principle
• Binomial theorem and the simple applications
• General term and middle term

Sequence and series

• Arithmetic/ geometric progression
• Insertion of arithmetic
• Geometric progression

Limit, continuity and differentiability

• Polynomials, trigonometric, logarithmic function
• Application of derivatives
• Graphs of simple functions limits, differentiability and continuity

Integral calculus

• Integral as antiderivative
• Fundamental theorem of calculus
• Properties of definite integrals

Differential equations

• Ordinary differential equations
• Formation/solutions of differential equations

Co-ordinate Geometry

• Distance and section formula
• Slope of a line
• Straight lines, circles and conic sections

Three-dimensional geometry

• Distance between two points
• Section formula
• Skew lines
• Intersection of line and plane

Vector algebra

• Vectors and scalars
• Addition of vectors
• Statistics and probability
• Measures of dispersion
• Probability

Trigonometry

• Trigonometric identities and equations
• Heights and distances