WB JELET 2024 Syllabus (PDF Download) - Check Course-Wise Important Topics Here

Kinematics

• Resolution and composition of vectors, scalar multiplication of vectors.
• Speed, velocity, acceleration, uniform/non-uniform, rectilinear/ circular Position/ velocity-time graph.

• Common measurement errors. Error, accuracy, precision, resolution, significant figure.
• CGS, MKS, SI Dimensions of common physical quantities, dimensional analysis.

• Definition, measures, and units. Law of conservation of energy. Kinetic and potential

• Conditions of equilibrium. Conservation of momentum.
• Newton’s laws of motion. Force, momentum, inertia, moment of inertia, impulse, couples, moment.
• Centripetal and centrifugal forces.
• Static and dynamic friction, angle of repose, banking of roads.
• Angular displacement/ velocity/ acceleration/ momentum, torque.

• Stress-strain relationship, Hook’s law, Young’s modulus, Bulk modulus, Rigidity modulus, Poisson’s ratio, and the relation between them. Elastic energy.
• Deforming force and restoring force, elastic, and plastic body.

• Gravitational potential energy. Vertical linear/ vertical circular/ projectile motion.
• The universal law of Acceleration is due to gravity and its variation on/ above/ below the Earth’s surface.

• Cohesive and adhesive forces.
• Definition, dimension, and SI unit of surface tension.
• Surface energy.
• The angle of contact.
• Formation of droplets, bubbles; and their adhesion.
• Capillarity, the shape of the liquid meniscus in a capillary tube, the rise of liquid in a capillary Effect of impurity and temperature on surface tension.

• Linear, areal, and volume expansion.
• Coefficients of expansions and their relation.
• Change of density with temperature.

• Pascal’s law.
• Hydraulic lift.
• Buoyancy.
• Conditions of equilibrium of the floating body.
• Archimedes’ principle.
• Streamline flow and turbulent flow of a fluid, critical velocity.
• Equation of continuity and Bernoulli’s theorem.
• Viscosity, Newton’s formula for viscous force, coefficient of viscosity.
• Stokes law and terminal velocity.
• Effect of temperature on viscosity.

• Thermal equilibrium, calorimetry.
• Zeroth law of thermodynamics.
• Heat, work, temperature, and internal First law of thermodynamics.
• Specific heats of gas, their relation, and their ratio.
• Isothermal, isobaric, isochoric, and adiabatic processes.

• Conduction, convection, radiation.
• Thermal conductivity (formula, definition, dimensions, and SI unit).

• Refraction of light through plane surface.
• Laws of refraction.
• Refractive index, its relationship with the velocity of light in different media.
• Total internal reflection and critical angle.
• Principle of optical fiber.

• Reflection of light in plane Formation of image.

• Photoemission, Work function.
• Photoelectric current, its variation with intensity and frequency of incident radiation.
• Stopping potential, Threshold frequency.
• Concept of photon.
• Einstein’s photoelectric Principle of solar photo-voltaic cells and their uses.

• Convex and concave lenses.
• Formation of image.
• Relation between u, v, f. Power of a lens (in different mediums).
• Equivalent focal length & power of two thin lenses in contact.

Covalent bonds in Carbon, Silicon, and Germanium. Electrovalent, H-bond in HF, water, and ice, Covalent, and coordinate bonds. Classification of solids - crystalline and amorphous. Relationship between structure and properties of crystalline solids namely ionic solids, covalent solids, and molecular solids.

Quantum numbers, Bohr model of the atom, de Broglie wave equation, orbit and Orbitals, Aufbau principle, Hund’s rule of maximum multiplicity, Pauli’s Exclusion principle, and electronic configuration of elements. Concept of hybridization sp3, sp2, sp and shape of molecules. Mass number, isotopes, Definition of Atomic number, isotones, and isobars.

Oxidation and Reduction by electronic concept, Arrhenius theory, Redox Titration, balancing chemical equations by ion-electron method, Electrolysis, Faraday’s Laws, electrolysis of CuSO₄ solution using Pt-electrode and Cu-electrode. Application of electrolysis such as Electroplating, Electrochemical Cells, Secondary Cell-lead storage cell, Electro-refining and Electrotyping, Primary cell-dry- Dry Cell, and Electrochemical series.

Acids, Bases, and Salts (Arrhenius and Lewis concept). Mole concept,  Avogadro number, weight, and volume relations. Acidity, basicity, neutralization reaction, hydrolysis of Salts. Indicators and choice of indicator, principles of acidimetry and alkalimetry. Buffer Solubility product principle. Common ion effect with relation to group analysis. Equivalent Weight of acids, bases, & salts; strength of solution- normality, molarity, molality, formality, and percentage strength, standard solution- primary and secondary standards, concept of pH, and pH scale.

Minerals, Ores, Gangue, Flux, Slag, General method of extraction of metals concerning Iron, copper, and Aluminium. Definition of Alloy, purposes of making Alloy, Composition, and uses of alloys such as brass, bronze, German silver, duralumin, nichrome, bell metal, gunmetal, Monel metal, alnico, Dutch metal, babbitt metal, stainless steel. Amalgams, properties, and uses of cast iron, wrought iron, steel, and sponge iron. Uses of different alloy steels.

Reversible and irreversible reactions, exothermic and endothermic reactions, chemical equilibrium, Le Chatelier’s Industrial preparation of Ammonia by Haber’s Process, Nitric acid by Ostwald’s process, and Sulphuric acid by Contact Process. Catalyst and catalysis.

Uses of Benzene, Naphthalene and phenol. Classification, Organic compounds, Homologous series, Functional groups, Properties and preparation of Methane, Isomerism, Ethylene and Acetylene, Methylated spirit, Rectified spirit, Power alcohol, and Proof spirit.

Ion-exchange process, phosphate conditioning, and Calgon treatment. Soft and Hard water, the action of soap on water, causes of hardness, units of hardness, types of Hardness, disadvantages of using hard water, estimation of total hardness by EDTA method, removal of hardness by Permutit process.

Definition of Matrix and its order. Equality of two matrices. Different types of Matrices (Rectangular, square, row, column, upper triangular, lower triangular, diagonal, scalar, identity, null). Addition, subtraction, multiplication of a matrix by a scalar, and multiplication of two matrices. Transpose of a matrix, symmetric and skew-symmetric matrices, simple problems. Statement of Cauchy Hamilton Theorem and application for determining the inverse of a matrix. Singular and non-singular matrices, adjoint, and inverse of a matrix of order 3. Eigen Values of matrix up to order 3. Diagonalization of matrices.

Concept of polar coordinates and its relation to Cartesian coordinates. The conic section in 2D – Definition, simple properties, Tangent,s, and Normal.

Rate measurement. Geometric meaning of derivative. Maxima and Minima (one variable)

Definition of complex numbers, Cartesian and polar. Algebra of complex numbers (Equality, Addition, Subtraction, Multiplication). Cube roots of unity and its properties. De Moivre’s theorem (statements only) and simple problems. The exponential form of complex numbers. Modulus, amplitude, and conjugate of a complex number.

The rank of a matrix is up to order 3. Definition and expansion of determinants of order 2 and 3. Minor and cofactors. Elementary properties of Determinants (statements only) and simple problems. Linear homogeneous and non-homogeneous system of equations – statements of the relevant results and their applications. Solutions of linear simultaneous equations (up to 3 unknowns) by Cramer’s Rule.

Definition of a vector quantity. Concept of Position vector and Ratio formula. Algebra of vectors – equality, addition, subtraction, and scalar multiplication. Rectangular resolution of a vector. Linear dependence and independence of vectors. Scalar (Dot) product of two vectors with properties. Applications: Application of dot product in work done by a force and projection of one vector upon another, application of the cross product in finding vector area and moment of a force. Vector (cross) product of two vectors with properties. Scalar and vector triple product and their geometrical interpretations. Linear combination of 3 vectors.

Concept of the function of one variable – Domain and range. Limit and continuity. Standard limits. Type of different functions including periodic functions. Types of discontinuity. Statements and Applications of Roll’s Theorem, Mean Value Theorem. Derivative of functions (1st order and 2nd order). Indeterminant Form. L’Hospital’s rule.

Definition of ordinary differential equation, order, and degree. Separation of variables. Homogeneous type. Solution of differential equation of first order and first degree. Solution of differential equation of first order but not of the first degree. Exact type. Linear type. Solution of linear second-order differential equation with constant coefficients. Particular integral for polynomial function eax, sina,x and cosax, [F(-a2)≠0] eaxV where V is a function. Complementary Functions (C.F). Simple problem.

Evaluation of partial derivatives. Definition and meaning of partial derivative. Euler’s theorem (1st order) on homogeneous functions for 2 variables (without proof). Definition and examples of homogeneous functions. Problems.

Definition of Integration as the inverse process of differentiation. Integration of standard functions. Integration by partial fraction. Integration by substitution. Integration by parts. Rules for integration (sum, difference, scalar multiple).

Definition of definite integral and simple problems. Application of definite integral – area of bounded region. Properties of definite integral with simple problems.

The classical definition of probability, simple problems. Definition of random experiment, sample space, event, occurrence of events, and types of events (e.g., Impossible, mutually exclusive, Exhaustive, Equally likely). Statements of total probability, compound probability Base’s Theorem, and simple problems.