Bihar DECE LE Syllabus 2026: Exam Pattern, Subject-Wise Syllabus, Important Dates, Full Details

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• Wrong Answer: -1 Mark (Negative Marking)
• Unattempt Questions: 0 Marks

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Physics: Unit-wise Topics

• 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

• 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

• Rectilinear motion

• Uniform and uniformly accelerated motion

• Freely falling bodies

• Motion in two and three dimensions

• Projectile motion

• Relative velocity

• Frame of reference

• 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

• 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

• 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

• 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

• 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

• 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

• Periodic motion

• Oscillatory motion

• Simple harmonic motion

• Energy in SHM

• Simple pendulum

• Damped and forced oscillations

• Resonance

• Composition of SHM

• 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

• 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

• 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

• 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

• 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

• 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

• Joule’s law

• Thermocouple

• Seebeck, Peltier and Thomson effect

• Faraday’s laws of electrolysis

• Dry cell, lead accumulator

• Nickel-cadmium and button cells

• 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

• 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

• Bar magnet properties

• Magnetic dipole

• Earth’s magnetic field

• Para, dia and ferromagnetic substances

• Electromagnets and permanent magnets

• Modern theory of magnetism

• Maxwell, Hertz, Bose, Marconi contributions

• Electromagnetic spectrum

• Radio wave to gamma ray

• Properties and applications

• 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

• Energy bands

• Conductors, semiconductors, insulators

• PN junction diode

• Rectifier

• Solar cell

• LED

• Transistor

• Amplifier

• Logic gates

• Binary system

• Boolean algebra

• Truth table

• Analog and digital signals

• Modulation and demodulation

• Digital transmission

• Fax and modem

• Space communication

• Satellite communication

• Optical fibre

• Laser and applications

A. Physical Chemistry

• Laws of chemical combination
• Mole concept
• Equivalent weight
• Atomic and molecular weight
• Eudiometry
• Chemical equation based numericals

• Oxidation-reduction as electron transfer
• Oxidation number
• Balancing of redox equations
• Oxidants and reductants
• KMnO4, K2Cr2O7, H2O2, O3, I2, FeSO4 आदि की भूमिका

• 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

• 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

• 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

• 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.

• Classical concept
• Bronsted-Lowry concept
• SHAB principle
• Salt classification
• pH, pOH, pKa, pKb
• Relative strengths
• Buffer solution

• Standard solution
• Primary standard
• Normality, molarity, molality
• Percentage, mole fraction, ppm
• Acid-base titration
• Indicators
• Redox titration
• Permanganometry and dichrometry
• Volume strength of H2O2

• 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

• Law of mass action
• Equilibrium constant
• Le Chatelier’s principle
• Gaseous dissociation
• Esterification
• Ammonia formation
• Relation between K and ΔG

• 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

• Rate of reaction
• Factors affecting reaction rate
• Order and molecularity
• First order reaction
• Arrhenius equation

• Faraday’s law
• Conductance
• Specific, equivalent and molar conductivity
• Kohlrausch law
• Electrochemical cells
• Electrode potential
• Electrochemical series
• EMF numericals

• Adsorption
• Colloids and types
• Properties of colloids
• Emulsions
• Surfactants and micelles

• Long form periodic table
• s, p, d, f blocks
• Ionization enthalpy
• Electron affinity
• Electronegativity

• 3d series
• General characteristics
• Oxidation states
• Colour
• Magnetic property
• Complex formation
• Catalytic property

• 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

• Carbon and its compounds
• Industrial fuels and calorific value
• Nitrogen compounds
• Phosphorus compounds
• Sulphur compounds
• Halogens and interhalogens
• Noble gases
• Xe fluorides

• Systematic grouping of cations
• Group reagents
• Tests for anions

• 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

• Nitrogen fertilizers
• Phosphorus fertilizers

• Water pollution
• Air pollution

B. Organic Chemistry

• Hybridization of carbon
• Structural formula
• Catenation
• Spatial arrangement
• Homologous series
• Functional groups
• IUPAC nomenclature
• Physical properties of organic compounds

• Structural isomerism
• Keto-enol tautomerism
• Conformation of ethane and butane
• Geometrical isomerism
• Optical isomerism

• Bond fission
• Carbocation, carbanion, free radical
• Acidity and basicity
• Inductive and resonance effect
• Nucleophile and electrophile
• Addition, substitution, elimination reactions

• 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

• Natural and synthetic polymer
• Rubber
• Polythene
• PVC
• Polyester
• Polymerization techniques

Mathematics: Unit-wise Topics

• 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

• Boolean algebraic structure
• Principle of duality
• Boolean functions
• Conditional and biconditional statements
• Valid arguments
• Switching circuits
• Applications of Boolean algebra

• Statements
• Venn diagram in logic
• Negation
• Logical connectives
• Compound statements
• Truth tables
• Tautology
• Algebra of statements
• Logic based problem solving

• 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

• 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

• 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

• 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

• 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

• 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

• 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

• 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

• Laws of mechanics
• Force
• Resultant of coplanar forces
• Concurrent and parallel forces
• Couples and moments
• Equilibrium of particle

• Displacement, speed and velocity
• Average speed
• Uniform motion
• Uniform acceleration
• Resultant of velocities
• Motion in straight line
• Motion under gravity
• Projectile motion

• 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