MUJEE 2025 Syllabus: Check Topic-wise Syllabus Here

Units

Topics

1

Units and Measurement Units are used for measurement, as well as a system of units- S.I.

2

Mechanics Motion in one dimension and  accelerated motion-scalar and vector quantities-Newton’s laws of motion-force and projectile motion-uniform circular motion friction-laws of friction

3

Gravitation, Mechanics of Solids and Fluids The universal law of gravitation, acceleration due to gravity-variation of ‘g’ with altitude, latitude and depth-gravitation potential-escape velocity and orbital velocity.

4

Oscillations and Wave Motion Periodic motion-simple harmonic motion- equations of motion oscillations of spring-simple pendulum-free, forced and damped oscillations resonance.

5

Heat and Thermodynamics Kinetic theory of gases-postulates-pressure of a gas-specific heat capacity-relation between Cp and Cv-first law of thermodynamics.

6

Ray and Wave Optics and Magnetism

7

Electricity and Magnetism Electrostatics-Coulomb’s inverse square law-dielectric constant-electric field-electric lines of force-electric dipole-electric potential-potential difference-electric flux-Gauss theorem-electrostatic induction-capacitor capacitors in parallel

8

Atomic Physics and Relativity Atomic structure-properties of cathode rays and positive rays-specific charge of an electron-atom model-Thomson atom model-Rutherford atom model-Bohr atom model- merits

9

Dual Nature of Matter and Nuclear Physics Matter waves-wave nature of particles De Broglie wavelength-electron microscope. Nuclear properties: radius, mass, binding energy, density, isotopes

10

Electronics and Communication Semiconductors-doping-types-PN junction diode-biassing-diode as a Rectifier- transistors-transistor characteristics-amplifier-gain feedback in amplifiers-logic gates- basic logic gates-NOT, OR, AND, NOR

Units

Topics

1

Some Basic Concepts in Chemistry include Matter and its nature; Dalton’s atomic theory, the concept of atoms, molecules, elements and compounds; physical quantities and their measurements in chemistry; and precision.

2

States of Matter Classification of matter into solid, liquid and gaseous states. Solid State: Classification of solids: molecular, ionic, covalent and metallic solids, amorphous and crystalline solids (elementary idea).

Liquid State: Properties of viscosity and surface tension and the effect of temperature on them (qualitative treatment only).  Dalton’s law of partial pressure, the concept of absolute scale of temperature, the ideal gas equation, and the kinetic theory of gases (only postulates).

3

Chemical Families–Periodic Properties Modern periodic law and present form of the periodic table, s & p block elements, periodic trends in properties of elements, atomic and ionic radii, ionisation enthalpy

4

Atomic Structure Discovery of subatomic particles (electron, proton and neutron); Thomson and Rutherford atomic models and their limitations; nature of electromagnetic radiation, photoelectric effect.

5

Chemical Bonding and Molecular Structure Covalent bonding: Concept of electronegativity, Fajan’s rule, dipole moment; Valence Shell Electron Pair Repulsion (VSEPR) theory and shapes of simple molecules. Quantum mechanical approach to covalent bonding: Valence bond theory–Its important features.

6

Chemical Energetics The first law of thermodynamics is that energy changes during a chemical reaction, as well as internal energy and enthalpy.

7

Chemical Thermodynamics Second law of thermodynamics–Spontaneity of processes; S of the universe.

8

Solutions Different methods for expressing concentration of solution, molarity, mole fraction, percentage (by volume and mass both), vapour pressure of solutions and Raoult’s law-ideal and non-ideal solutions, vapour pressure-composition plots for ideal

9

Chemical Equilibrium Meaning the equilibrium concept of dynamic equilibrium. Equilibria involves physical processes: Solid-liquid, liquid-gas, and solid-gas equilibria, Henry’s law.

Ionic equilibrium: Weak and strong electrolytes, ionisation of electrolytes.

10

Electrochemistry Electrolytic and metallic conduction, conductance in electrolytic solutions, specific and molar conductivities and their variation with concentration: Kohlrausch’s law and its applications

11

Surface Chemistry, Chemical Kinetics and Catalysis Adsorption–Physisorption and chemisorption and their characteristics.

Factors affecting rates of reactions–factors affecting the rate of collisions encountered between the reactant molecules.

12

Purification and Characterisation of Organic Compounds Purification– Crystallisation, sublimation, distillation, differential extraction and chromatography– principles and their applications

Quantitative analysis (basic principles only)

13

Some Basic Principles of Organic Chemistry Tetravalency of carbon; shapes of simple molecules–hybridisation (s and p)

Nomenclature (Trivial and IUPAC) Covalent bond fission– Homolytic and heterolytic.

14

Hydrocarbons Classification, isomerism, IUPAC nomenclature, general preparation methods, properties and reactions.

Alkanes–Conformations: Sawhorse and Newman projections (of ethane); mechanism of halogenation of alkanes. 

Alkenes–Geometrical isomerism; mechanism of electrophilic addition: addition of hydrogen.

Alkynes–Acidic character; addition of hydrogen, halogens, water and hydrogen halides; polymerisation. aromatic hydrocarbons– nomenclature, benzene–structure.

15

Organic Compounds Containing Oxygen General preparation methods, properties, reactions and uses. Alcohols: Identification of primary, secondary.

Ethers: Structure. Aldehyde and Ketones: Nature of carbonyl group; Nucleophilic addition reactions (addition of HCN, NH3 and its derivatives)

Carboxylic acids: Reactions.

16

Organic Compounds Containing Nitrogen General preparation methods, properties, reactions and uses. Amines: Nomenclature, classification, structure

17

Polymers General introduction and classification of polymers, general methods of polymerisation– addition and condensation, copolymerisation; natural and synthetic rubber.

18

Biomolecules Carbohydrates–Classification: aldoses and ketoses; monosaccharides (glucose and fructose), constituent monosaccharides of oligosaccharides (sucrose, lactose, maltose) and polysaccharides (starch, cellulose, glycogen).

19

Chemistry in Everyday Life. Antihistamine–their meaning and common examples.

Units

Topics

1

Sets, Relations and Functions Sets and their representations, union, intersection and complements of sets and their algebraic properties

2

Complex Numbers Complex numbers are in the form a+ib, and their representation is in a plane. Argand diagram. Algebra of complex numbers, modulus.

3

Matrices and Determinants Determinants and matrices of order two and three are properties of determinants.

4

Applications of Matrices and Determinants Computing the rank of a matrix–test of consistency and solution of simultaneous linear equations using determinants and matrices.

5

Quadratic Equations Quadratic equations in real and complex number systems and their solutions. Relation between roots and coefficients, nature of roots.

6

Permutations and Combinations Fundamental principle of counting: permutation as an arrangement and combination as selection, meaning of P(n,r) and C(n,r).

7

Mathematical Induction and its Applications Stating and interpreting the principle of mathematical induction. Using it to prove formulas and facts.

8

Binomial theorem and its Applications Binomial theorem for a positive integral index; general term and middle term.

9

Sequences and Series

Arithmetic, geometric and harmonic progressions. Insertion of arithmetic, geometric and harmonic means between two given numbers.

10

Differential Calculus Polynomials, rational, trigonometric, logarithmic and exponential functions. Inverse functions. Graphs of simple functions. Limits, continuity, differentiation of the sum, difference, product and quotient of two functions.

11

Applications of Differential Calculus Rate of change of quantities, monotonic– increasing and decreasing functions, maxima.

12

Integral Calculus Integral as an antiderivative. Fundamental integrals involving algebraic, trigonometric, exponential and logarithmic functions. Integration by substitution, by parts and by partial fractions. Integration using trigonometric identities. Integral as limit of a sum.

13

Differential Equations Ordinary differential equations, their order and degree. Formation of differential equations.

14

Straight Lines in Two Dimensions Cartesian system of rectangular coordinates in plane, distance formula, area of a triangle. conditions for concurrence of three lines, distance of a point from a line. Equations of internal and external bisectors of angles between two lines, coordinates of centroid, orthocenter.

15

Circles in Two Dimensions Standard form of equation of a circle, general form of the equation of a circle, its radius and centre, equation of a circle in the parametric form, equation of a circle when the endpoints of a diameter are given, points of intersection of a line and a circle with the centre at the origin.

16

Conic Sections in Two Dimensions Sections of cones, equations of conic sections (parabola, ellipse and hyperbola) in standard form, condition for y = mx+c to be a tangent and point(s) of tangency.

17

Vector Algebra Vectors and scalars, addition of vectors, components of a vector in two dimensions and three-dimensional space, scalar and vector products, scalar and vector triple product. Application of vectors to plane geometry.

18

Measures of Central Tendency and Dispersion  Calculation of mean, median and mode of grouped and ungrouped data.

19

Probability of an event; addition and multiplication theorems of probability and their applications; Conditional probability.

20

Trigonometry Trigonometric identities and equations. Inverse trigonometric functions and their properties. Properties of triangles, including incentre.