MET - 2024
As per the MET exam eligibility criteria the candidates submitting the application form of MET must have secured 50% marks in Mathematics, Physics, and any one of the optional subjects in class 12 or A level or IB or American 12th grade or equivalent.
MATHEMATICS
Sets and Functions Sets: Sets and their representations, The empty set, Finite and infinite sets, Equal sets, Subsets, Power set, Universal set, Venn Diagrams, Operation on Sets, Complement of a set, Union and intersection of two sets, Relations and Functions: Cartesian product of sets, relations and functions, Trigonometric Functions: Angles, Trigonometric functions, Trigonometric functions of sum and difference of two angles and trigonometric equations.
Algebra
Mathematical Induction: Motivation, Principle of mathematical induction, Numbers and Quadratic Equations: Complex numbers, Algebra of complex numbers, The modulus and the conjugate of a complex number, Argand plane and polar representation and Quadratic equations, Linear Inequalities: Inequalities, Algebraic solutions of linear inequalities, graphical solution and solution of system of linear inequalities in two variables, Permutations and Combinations: Permutations and Combinations, Derivation of formulae and their connections, Binomial Theorem: Binomial theorem for positive integral indices, General and middle terms, Applications, Sequence and Series: Sequences, Series, Arithmetic progression, Geometric progression, Relationship between AM and GM, sum to n terms of special series, Matrices: Matrix, types, operations, Transpose, Symmetric and skew symmetric matrices, elementary operation, Invertible matrices, Determinants: Properties, Area of a triangle, minors and cofactors, Adjoint and inverse of a matrix, applications
Coordinate Geometry Straight Lines:
Slope of a line, Various forms of the equation of a line, General equation of a line, Distance of a point from a line, Conic Sections: Section of a cone, Circle, Parabola, Ellipse, Hyperbola, Introduction to Three-dimensional Geometry: Coordinate axes and coordinate planes in three-dimensional space, Coordinates of a point in space, Distance between two points, Section formula
Calculus
Limits and Derivatives: Intuitive idea of derivatives, Limits of trigonometric functions, Derivatives, Continuity and Differentiability: Exponential and logarithmic functions, logarithmic differentiation, Derivatives of functions in parametric forms, Second order derivative, Mean value theorem, Applications of Derivatives: Rate of change of quantities, Increasing and decreasing functions, Tangents and normals, Approximations, Maxima and Minima, Integrals and their Application: Integration, methods of integration, Integrals of some particular functions, Integration by partial fractions, Integration by parts, Definite Integral, Fundamental theorem of calculus, Evaluation of definite integrals by substitution, Properties of definite integrals, Area under simple curves and two curves, Differential equations: Basic concepts, General and particular solutions of a differential equation, formation of a differential equation, methods of solving first order, first degree differential equations.
Mathematical Reasoning:
Statements, New statements from old, Special words/phrases, Implications, Validating statements, Statistics and Probability: Measure of dispersion, Range, Mean deviation, Variance and standard deviation, Analysis of frequency distributions, Random experiments, Event, Axiomatic approach to probability, Conditional probability,
PHYSICS
Physical World and Measurement Physical World: Physics-scope and excitement; nature of physical laws; Physics, technology and society, Units and Measurements: Need for measurement: Units of measurement; systems of units; SI units, fundamental and derived units. Length, mass and time measurements; accuracy and precision of measuring instruments; errors in measurement; significant figures. Dimensions of physical quantities, dimensional analysis and its applications.
Kinematics
Motion in a Straight Line: Elementary concepts of differentiation and integration for describing motion, uniform and nonuniform motion, average speed and instantaneous velocity, uniformly accelerated motion, velocity - time and position-time graphs. Relations for uniformly accelerated motion, Motion in a Plane: Scalar and vector quantities; position and displacement vectors, general vectors and their notations; equality of vectors, multiplication of vectors by a real number; addition and subtraction of vectors, relative velocity, Unit vector; resolution of a vector in a plane, rectangular components, Scalar and Vector product of vectors. Motion in a plane, cases of uniform velocity and uniform acceleration-projectile motion, uniform circular motion.
Laws of Motion:
Intuitive concept of force, Inertia, Newton's first law of motion; momentum and Newton's second law of motion; impulse, Newton's third law of motion, Law of conservation of linear momentum and its applications, Equilibrium of concurrent forces, Static and kinetic friction, laws of friction, rolling friction, lubrication, Dynamics of uniform circular motion: Centripetal force, examples of circular motion.
Work, Energy and Power:
Work done by a constant force and a variable force; kinetic energy, work-energy, theorem, power, Notion of potential energy, potential energy of a spring, conservative forces: conservation of mechanical energy (kinetic and potential energies); non-conservative forces: motion in a vertical circle; elastic and inelastic collisions in one and two dimensions.
Motion of System of Particles and Rigid Body
System of Particles and Rotational Motion: Centre of mass of a two-particle system, momentum conservation and centre of mass motion. Centre of mass of a rigid body; centre of mass of a uniform rod. Moment of a force, torque, angular momentum, law of conservation of angular momentum and its applications, Equilibrium of rigid bodies, rigid body rotation and equations of rotational motion, comparison of linear and rotational motions, Moment of inertia, radius of gyration, values of moments of inertia for simple geometrical objects.
Gravitation:
Universal law of gravitation. Acceleration due to gravity (recapitulation only) and its variation with altitude and depth, Gravitational potential energy and gravitational potential, escape velocity, orbital velocity of a satellite, Geostationary satellites.
Mechanical Properties of Solids: Stress-strain relationship, Hooke's law, Young's modulus, bulk modulus, Mechanical Properties of Fluids: Pressure due to a fluid column; Pascal's law and its applications (hydraulic lift and hydraulic brakes), effect of gravity on fluid pressure. Viscosity, Stokes' law, terminal velocity, streamline and turbulent flow, critical velocity, Bernoulli's theorem and its applications. Surface energy and surface tension, angle of contact, excess of pressure across a curved surface, application of surface tension ideas to drops, bubbles and capillary rise, Thermal Properties of Matter: Heat, temperature, (recapitulation only) thermal expansion; thermal expansion of solids, liquids and gases, anomalous expansion of water; specific heat capacity; Cp, Cv - calorimetry; change of state - latent heat capacity. Heat transfer-conduction, convection and radiation, thermal conductivity, qualitative ideas of Blackbody radiation, Wein's displacement Law, Stefan's law, Greenhouse effect.
Thermodynamics:
Thermal equilibrium and definition of temperature (zeroth law of thermodynamics), heat, work and internal energy. First law of thermodynamics, isothermal and adiabatic processes. Second law of thermodynamics: reversible and irreversible processes.
Behaviour of Perfect Gases and Kinetic Theory of Gases
Kinetic Theory: Equation of state of a perfect gas, work done in compressing a gas. Kinetic theory of gases - assumptions, concept of pressure. Kinetic interpretation of temperature; rms speed of gas molecules; degrees of freedom, law of equipartition of energy (statement only) and application to specific heat capacities of gases; concept of mean free path, Avogadro's number.
Oscillations:
Periodic motion - time period, frequency, displacement as a function of time, periodic functions, Simple harmonic motion (S.H.M) and its equation; phase; oscillations of a loaded spring restoring force and force constant; energy in S.H.M. Kinetic and potential energies; simple pendulum derivation of expression for its time period. Free, forced and damped oscillations (qualitative ideas only), resonance, Waves: Wave motion: Transverse and longitudinal waves, speed of travelling wave, displacement relation for a progressive wave, principle of superposition of waves, reflection of waves, standing waves in strings and organ pipes, Beats.
Electrostatics
Electric Charges and Fields: Electric Charges; Conservation of charge, Coulomb's law-force between two-point charges, forces between multiple charges; superposition principle and continuous charge distribution. Electric field, electric field due to a point charge, electric field lines, electric dipole, electric field due to a dipole, torque on a dipole in uniform electric field. Electric flux, statement of Gauss's theorem and its applications to find field due to infinitely long straight wire, uniformly charged infinite plane sheet..
Electrostatic Potential and Capacitance: Electric potential, potential difference, electric potential due to a point charge, a dipole and system of charges; equipotential surfaces, electrical potential energy of a system of two-point charges and of electric dipole in an electrostatic field. Conductors and insulators, free charges and bound charges inside a conductor. Dielectrics and electric polarisation, capacitors and capacitance, combination of capacitors in series and in parallel, capacitance of a parallel plate capacitor with and without dielectric medium between the plates, energy stored in a capacitor.
Current Electricity Current Electricity:
Electric current, flow of electric charges in a metallic conductor, drift velocity, mobility and their relation with electric current; Ohm's law, electrical resistance, V-I characteristics (linear and non-linear), electrical energy and power, electrical resistivity and conductivity; temperature dependence of resistance. Internal resistance of a cell, potential difference and emf of a cell, combination of cells in series and in parallel, Kirchhoff's laws and simple applications, Wheatstone bridge, metre bridge (qualitative ideas only) Potentiometer - principle and its applications to measure potential difference and for 14 comparing EMF of two cells; measurement of internal resistance of a cell (qualitative ideas only.
Moving Charges and Magnetism: Concept of magnetic field, Oersted's experiment. Biot - Savart law and its application to current carrying circular loop. Ampere's law and its applications to infinitely long straight wire. Straight and toroidal solenoids (only qualitative treatment), force on a moving charge in uniform magnetic and electric fields Force on a current-carrying conductor in a uniform magnetic field, force between two parallel current-carrying conductors-definition of ampere, torque experienced by a current loop in uniform magnetic field; moving coil galvanometer-its current sensitivity and conversion to ammeter and voltmeter.
Magnetism and Matter: Current loop as a magnetic dipole and its magnetic dipole moment, magnetic dipole moment of a revolving electron, bar magnet as an equivalent solenoid, magnetic field lines; earth's magnetic field and magnetic elements.
Electromagnetic Induction and Alternating Currents Electromagnetic Induction:
Electromagnetic induction; Faraday's laws, induced EMF and current; Lenz's Law, Eddy currents. Self and mutual induction. Alternating currents, peak and RMS value of alternating current/voltage; reactance and impedance; LC oscillations (qualitative treatment only), LCR series circuit, resonance; power in AC circuits AC generator and transformer.
Electromagnetic Waves:
Electromagnetic waves, their characteristics, their Transverse nature (qualitative ideas only). Electromagnetic spectrum (radio waves, microwaves, infrared, visible, ultraviolet, X-rays, gamma rays) including elementary facts about their uses.
Optics: Ray Optics and Optical Instruments:
Ray Optics, Refraction of light, total internal reflection and its applications, optical fibres, refraction at spherical surfaces, lenses, thin lens formula, lensmaker's formula, magnification, power of a lens, combination of thin lenses in contact, refraction of light through a prism. Optical instruments: Microscopes and astronomical telescopes (reflecting and refracting) and their magnifying powers.
Wave Optics Wave optics: Wave front and Huygen's principle, reflection and refraction of plane wave at a plane surface using wave fronts. Proof of laws of reflection and refraction using Huygen's principle. Interference, Young's double slit experiment and expression for fringe width, coherent sources and sustained interference of light, diffraction due to a single slit, width of central maximum
Dual Nature of Radiation and Matter:
Dual nature of radiation, Photoelectric effect, Hertz and Lenard's observations; Einstein's photoelectric equation-particle nature of light, Experimental study of photoelectric effect: Matter waves-wave nature of particles, de-Broglie relation
Atoms: Alpha-particle scattering experiment;
Rutherford's model of atom; Bohr model, energy levels, hydrogen spectrum, Nuclei Composition and size of nucleus: Nuclear force Mass-energy relation, mass defect, nuclear fission, nuclear fusion.
Electronic Devices Semiconductor Electronics:
Materials, Devices and Simple Circuits Energy bands in conductors, semiconductors and insulators (qualitative ideas only) Semiconductor diode - I-V characteristics in forward and reverse bias, diode as a rectifier; Special purpose p-n junction diodes: LED, photodiode, solar cell
CHEMISTRY
Some Basic Concepts of Chemistry: General Introduction: Importance and scope of chemistry, Nature of matter, laws of chemical combination, Dalton's atomic theory: concept of elements, atoms and molecules, Atomic and molecular masses, mole concept and molar mass, percentage composition, empirical and molecular formula, chemical reactions, stoichiometry and calculations based on stoichiometry.
| 13 Apr '24 - 15 Apr '24 | Admit card - First Attempt |
| 27 Mar '24 - 15 Apr '24 | Application form - Second Attempt |
| 16 Apr '24 - 17 Apr '24 | Exam Date - First Attempt |
| 04 May '24 - 07 May '24 | Slot Booking - Second Attempt |
| 15 May '24 - 17 May '24 | Admit Card - Second Attempt |
| 18 May '24 - 19 May '24 | Exam Date - Second Attempt |
| Jun '24 | Counselling TENTATIVE |
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