Diploma LE Exam Syllabus 2026 : Exam Syllabus |
| The examination primarily consists of questions from the subjects of Physics, Chemistry, and Mathematics. A list of the syllabus is provided below. |
| Mathematics Syllabus Unit Wise Topic – It requires concepts, formulas, identities, graphs, algebraic manipulation, and problem-solving speed—all of these. |
| Probability | - Random experiment
- Sample space
- Events
- Probability on discrete sample space
- Theorems of probability
- Addition rule
- Multiplication rule
- Independent and dependent events
- Conditional probability
- Repeated trials
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| Dynamics | - Displacement, speed and velocity
- Average speed
- Uniform motion
- Uniform acceleration
- Resultant of velocities
- Motion in straight line
- Motion under gravity
- Projectile motion
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| Statics | - Laws of mechanics
- Force
- Resultant of coplanar forces
- Concurrent and parallel forces
- Couples and moments
- Equilibrium of particle
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| 3-Dimensional Coordinate Geometry | - Coordinate axes and planes
- Coordinates of point
- Distance between two points
- Section formula
- Direction cosines and direction ratios
- Projection
- Angle between two lines
- Cartesian and vector equation of line
- Collinearity
- Coplanar and skew lines
- Shortest distance between two lines
- Plane and sphere
- Perpendicular distance from point to plane
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| Vectors | - Scalars and vectors
- Types of vectors
- Position vector
- Components of vector
- Addition and scalar multiplication
- Dot product and cross product
- Triple products
- Geometrical applications
- Coplanarity
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| Set Theory | - Sets and representation
- Finite and infinite sets
- Empty set and equal sets
- Union, intersection, difference
- Ordered pairs
- Cartesian product
- Relations
- Domain, co-domain and range
- Functions
- One-one, onto, identity function
- Composition of functions
- Invertible functions
- Binary operation
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| Boolean Algebra | - Boolean algebraic structure
- Principle of duality
- Boolean functions
- Conditional and biconditional statements
- Valid arguments
- Switching circuits
- Applications of Boolean algebra
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| Mathematical Logic | - Statements
- Venn diagram in logic
- Negation
- Logical connectives
- Compound statements
- Truth tables
- Tautology
- Algebra of statements
- Logic based problem solving
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| Algebra | - Complex numbers
- Argand plane
- Real and imaginary parts
- Modulus and argument
- Triangle inequality
- Polar form
- Square root of complex number
- Cube roots of unity
- De Moivre’s theorem
- Sequence and series
- AP, GP, HP
- AM, GM, HM relation
- Summation formulas
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| Quadratic Equations and Expressions | - Factorization method
- Formula method
- Relation between roots and coefficients
- Nature of roots
- Formation of quadratic equation
- Symmetric functions of roots
- Equations reducible to quadratic form
- Extreme values
- Linear factorization in two variables
- Permutation and combination
- Principle of mathematical induction
- Binomial theorem
- Exponential and logarithmic functions
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| Matrices and Determinants | - Matrix concept and types
- Equality of matrices
- Addition and multiplication
- Scalar multiplication
- Determinants
- Properties of determinants
- Minors and cofactors
- Solving linear equations
- Transpose, adjoint, inverse
- Consistency of system
- Two and three variable equations
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| Trigonometry | - Trigonometric functions
- Periodicity
- Values of trigonometric functions
- Compound angle
- Multiple and sub-multiple angle
- Transformation formula
- Graph of sin, cos, tan
- General solution of trig equations
- Inverse trigonometric functions
- Properties of triangles
- Logarithms
- Height and distance
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| Two Dimensional Coordinate Geometry | - Cartesian coordinates
- Distance formula
- Area of triangle
- Collinearity
- Section formula
- Locus
- Straight line equation
- Intersection of lines
- Angle bisector
- Angle between lines
- Concurrency
- Distance of point from line
- Translation and rotation of axes
- Family of lines
- Circle and its equation
- Tangent, normal, chord
- Parametric form
- Conic sections
- Parabola, ellipse, hyperbola
- Tangent and normal to conics
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Calculus | - Real functions
- Domain and range
- Graphs of functions
- Limit
- Continuity
- Intermediate value property
- Differentiability
- Derivative from first principle
- Derivative rules
- Composite, implicit and parametric differentiation
- Higher order derivatives
- Geometrical meaning of derivative
- Tangent and normal
- Increasing and decreasing function
- Maxima and minima
- Rolle’s theorem
- Mean value theorem
- Approximation by differentials
- Curve sketching
- Integration
- Substitution method
- Integration by parts
- Partial fractions
- Definite integrals
- Area bounded by curves
- 10. Differential Equations
- Definition, order and degree
- General and particular solution
- Formation of differential equation
- Variable separable method
- Homogeneous first order equation
- Second order differential equations
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| Physics Syllabus Unit Wise Topics – A total of 50 questions are asked in Physics. This section is concept-based and may include numerical problems, formula applications, reasoning, and questions based on practical situations. |
| Basics of Communication | |
| Semiconductor Devices | |
| Atomic and Nuclear Physics | Discovery of electron Rutherford experiment Bohr model Hydrogen spectrum Photoelectric effect Einstein photoelectric equation Matter waves De Broglie relation Nucleus, mass number, atomic number Radioactivity Alpha, beta, gamma decay Half-life and mean life Nuclear fission and fusion
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| Electromagnetic Waves | Maxwell, Hertz, Bose, Marconi contributions Electromagnetic spectrum Radio wave to gamma ray Properties and applications
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| Magnetism | Bar magnet properties Magnetic dipole Earth’s magnetic field Para, dia and ferromagnetic substances Electromagnets and permanent magnets Modern theory of magnetism
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| Electromagnetic Induction and Alternating Current | Faraday’s laws and Lenz’s law Self and mutual induction Eddy current AC voltage and current RMS, peak and average values Reactance and impedance LCR circuit Power factor Resonance and Q-factor Transformer AC generator Choke and starter
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| Magnetic Effect of Current | Oersted experiment Biot-Savart law Magnetic field due to wire, loop, solenoid Moving coil galvanometer Ammeter and voltmeter conversion Force on current carrying conductor Torque on current loop Force between parallel conductors Definition of ampere
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| Thermal and Chemical Effect of Current | Joule’s law Thermocouple Seebeck, Peltier and Thomson effect Faraday’s laws of electrolysis Dry cell, lead accumulator Nickel-cadmium and button cells
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| Current Electricity | Drift velocity and mobility Current density Ohm’s law Resistivity and conductivity Superconductivity Carbon resistor and colour code Temperature dependence of resistance Kirchhoff’s laws Wheatstone bridge and meter bridge Potentiometer
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| Electrostatics | Charge and conservation of charge Coulomb’s law Electric field and potential Dipole Gauss theorem and applications Conductors and insulators Polarization and dielectric constant Electrostatic induction Capacitance Capacitor combinations Energy stored in capacitor Van de Graaff generator
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| Wave Optics | Wavefront and Huygens principle Reflection and refraction Coherent and incoherent sources Interference of light Young’s double slit experiment Diffraction Polarization Brewster’s law Polaroids
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| Ray Optics | Refraction at spherical surfaces Thin lens and lens combination Total internal reflection Optical fibre Rainbow Microscopes and telescopes Defects of vision Prism, dispersion and deviation Spectrometer Emission and absorption spectra Scattering of light
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| Introduction and Measurement | Science and scientific method Physics and its relation with society Physical quantities and measurement System of units, SI units Fundamental and derived units Dimensions and dimensional analysis Accuracy and precision Systematic and random errors Standard deviation, RMS value Significant figures and rounding off
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| Mathematical Tools | Scalar and vector quantities Vector addition and subtraction Unit vector, null vector Scalar product and vector product Differentiation and integration in Physics Cartesian coordinate system Graph plotting and interpretation Slope, tangent, curvature Maxima, minima, area under curve
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| Kinematics of Particles | |
| Force and Laws of Motion | Force and interaction Fundamental forces of nature Newton’s laws of motion Momentum and impulse Inertial and non-inertial frames Conservation of linear momentum Motion of connected bodies Rocket propulsion Friction, rolling friction, lubrication Circular motion Centripetal force and acceleration Banking of roads Vertical circle and conical pendulum
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| Work Energy and Power | Work and kinetic energy Power Work-energy theorem Conservative and non-conservative forces Potential energy Conservation of energy Mass-energy equivalence Elastic and inelastic collision Coefficient of restitution
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| Rotation | Centre of mass Moment of inertia Radius of gyration Parallel and perpendicular axis theorem Torque and couple Equilibrium of rigid bodies Angular momentum Conservation of angular momentum Rolling motion
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| Gravitation | Universal law of gravitation Inertial and gravitational mass Gravitational field and potential Hollow and solid sphere Acceleration due to gravity and variation in g Kepler’s laws Satellites
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| Properties of Matter | Intermolecular forces States of matter Elasticity and Hooke’s law Young’s modulus, bulk modulus, rigidity modulus Surface tension and capillarity Excess pressure Kinetic theory of gases Ideal gas law Fluid dynamics Viscosity and Stoke’s law Bernoulli’s theorem and applications
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| Heat and Thermodynamics | Heat and temperature Zeroth law of thermodynamics Temperature scales Thermometers First law of thermodynamics Specific heat Thermodynamic processes Carnot cycle Second law of thermodynamics Efficiency of heat engine Thermal conductivity Black body radiation Wien’s law, Stefan’s law Newton’s law of cooling
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| Oscillations | |
| Waves and Acoustics | Progressive waves Equation of travelling wave Longitudinal and transverse waves Superposition Interference Stationary waves and beats Sound waves in air Velocity of sound Organ pipes Doppler effect Acoustics of buildings Musical sound and decibel scale
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| Universe | Constituents of universe Planets and their distance/mass Stars, brightness, magnitude Luminosity and surface temperature Cosmic background radiation Red shift and Hubble’s law White dwarf, neutron star, black hole
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| Chemistry Syllabus – The Chemistry section is divided into three major parts: Physical Chemistry, Inorganic Chemistry, and Organic Chemistry. These sections are based on a combination of theory, concepts, and reactions. |
| Organic Chemistry |
| Fundamentals | - Hybridization of carbon
- Structural formula
- Catenation
- Spatial arrangement
- Homologous series
- Functional groups
- IUPAC nomenclature
- Physical properties of organic compounds
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| Polymers | - Natural and synthetic polymer
- Rubber
- Polythene
- PVC
- Polyester
- Polymerization techniques
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| Preparation and Reactions of Organic Compounds | - Alkanes
- Alkenes
- Alkynes
- Haloalkanes
- Alcohols
- Ethers
- Aldehydes and ketones
- Carboxylic acids and derivatives
- Aromatic compounds
- Phenol
- Aniline
- Diazo coupling
- Markovnikov and anti-Markovnikov addition
- Aldol, Cannizzaro, Perkin, Benzoin condensation
- Rosenmund reduction
- Grignard reagent
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| General Concept of Organic Reactions | - Bond fission
- Carbocation, carbanion, free radical
- Acidity and basicity
- Inductive and resonance effect
- Nucleophile and electrophile
- Addition, substitution, elimination reactions
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| Isomerism | - Structural isomerism
- Keto-enol tautomerism
- Conformation of ethane and butane
- Geometrical isomerism
- Optical isomerism
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| Physical Chemistry |
| Surface Chemistry | - Adsorption
- Colloids and types
- Properties of colloids
- Emulsions
- Surfactants and micelles
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| Electrochemistry | - Faraday’s law
- Conductance
- Specific, equivalent and molar conductivity
- Kohlrausch law
- Electrochemical cells
- Electrode potential
- Electrochemical series
- EMF numericals
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| Chemical Kinetics | - Rate of reaction
- Factors affecting reaction rate
- Order and molecularity
- First order reaction
- Arrhenius equation
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| Colligative Properties | - Relative lowering of vapour pressure
- Elevation of boiling point
- Depression of freezing point
- Osmotic pressure
- Ideal and non-ideal solution
- Van’t Hoff factor
- Henry’s law
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| Chemical Equilibrium | - Law of mass action
- Equilibrium constant
- Le Chatelier’s principle
- Gaseous dissociation
- Esterification
- Ammonia formation
- Relation between K and ΔG
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| Energetics | - Bond energy
- Enthalpy of reaction
- Exothermic and endothermic reaction
- First law of thermodynamics
- Internal energy
- Pressure-volume work
- Enthalpy of formation, combustion, neutralization
- Resonance energy
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| Volumetry | - Standard solution
- Primary standard
- Normality, molarity, molality
- Percentage, mole fraction, ppm
- Acid-base titration
- Indicators
- Redox titration
- Permanganometry and dichrometry
- Volume strength of H2O2
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| Acids Bases and Salts | - Classical concept
- Bronsted-Lowry concept
- SHAB principle
- Salt classification
- pH, pOH, pKa, pKb
- Relative strengths
- Buffer solution
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| Mole Concept and Numerical Analysis | - Laws of chemical combination
- Mole concept
- Equivalent weight
- Atomic and molecular weight
- Eudiometry
- Chemical equation based numericals
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| Oxidation and Reduction | - Oxidation-reduction as electron transfer
- Oxidation number
- Balancing of redox equations
- Oxidants and reductants
- Role of KMnO4, K2Cr2O7, H2O2, O3, I2, FeSO4 etc.
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| States of Matter | - Gaseous state
- Kinetic theory of gases
- Equation of state
- Graham’s law of diffusion
- RMS velocity
- Molecular speed distribution
- Van der Waals equation
- Liquid state properties
- Vapour pressure
- Surface tension and viscosity
- Solid state
- Crystal systems
- Bravais lattices
- Close packing, FCC, CCP, BCC
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| Atomic Structure | - Bohr and Sommerfeld model
- Rydberg constant
- de Broglie concept
- Heisenberg uncertainty principle
- Orbitals and shapes
- Quantum numbers
- Aufbau principle
- Hund’s rule
- Pauli exclusion principle
- Electronic configuration up to atomic number 34
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| Radioactivity | - Natural and artificial radioactivity
- Alpha, beta, gamma rays
- Disintegration law
- Half-life and average life
- Mass defect and binding energy
- Nuclear reactions
- Fission and fusion
- Isotopes, isobars, isotones
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| Chemical Bonding | - Octet rule
- Ionic, covalent, coordinate bond
- Hydrogen bond
- Sigma, pi bonds
- Hybridization
- VSEPR theory
- Dipole moment
- Resonance
- Shape of molecules and ions
- Molecular orbital theory
- MO diagram of H2, N2, CO, NO etc.
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| Inorganic Chemistry |
| Pollution | - Water pollution
- Air pollution
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| Fertilizers | - Nitrogen fertilizers
- Phosphorus fertilizers
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| Preparation of Important Compounds and Uses | - NaOH
- Na2CO3·10H2O
- Ca(OCl)Cl
- Ca(OH)2
- MgSO4·7H2O
- CuSO4·5H2O
- FeSO4·7H2O
- ZnSO4·7H2O
- AgNO3
- KMnO4
- K2Cr2O7
- Mohr’s salt
- Potash alum
- Plaster of Paris
- Calomel
- Corrosive sublimate
- Vermillion
- Nessler’s reagent
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| Principles of Qualitative Analysis | - Systematic grouping of cations
- Group reagents
- Tests for anions
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| Periodicity of Elements | - Long form periodic table
- s, p, d, f blocks
- Ionization enthalpy
- Electron affinity
- Electronegativity
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| Transition Elements | - 3d series
- General characteristics
- Oxidation states
- Colour
- Magnetic property
- Complex formation
- Catalytic property
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| Metallurgy | - Ores and minerals
- Gangue, flux, slag
- Extraction of iron, copper, lead, magnesium, aluminium, mercury, zinc, silver, gold, tin
- Carbon reduction
- Self reduction
- Electrolytic reduction
- Cyanide process
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| Chemistry of Non-metals and Their Compounds | - Carbon and its compounds
- Industrial fuels and calorific value
- Nitrogen compounds
- Phosphorus compounds
- Sulphur compounds
- Halogens and interhalogens
- Noble gases
- Xe fluorides
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