Gitumoni BaruahSenior Executive Content
MET 2023 syllabus has been released by the authorities of the Manipal Academy of Higher Education (MAHE). Candidates can now check the subjects and topics that have to be studied for the entrance examination through the MET syllabus 2023. To be well-prepared for the examination, the candidates are advised to check and refer to the MET syllabus. The units and topics from Physics, Chemistry, Mathematics and English mentioned in the MET 2023 syllabus are similar to the 11th and 12th standard qualifying examinations. Read the full article to know more about MET Syllabus 2023.
MET 2023 Syllabus
The candidates can check the MET syllabus 2023 from the table given below.
MET Syllabus for Physics
Units | Topics |
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Dynamics |
Newton’s Laws of Motion: First law of motion - force and inertia with examples -momentum - second law of motion, derivation of F=ma, mention of spring force F=kx, mention of basic forces in nature - impulse and impulsive forces with examples - second law as applied to the variable mass situation - third law of motion - Identifying action and reaction forces with examples - derivation of the law of conservation of momentum with examples in daily life - the principle of rocket propulsion - inertial and non-inertial frames - apparent weight in a lift and rocket/satellite - problems. Fluid Dynamics: Explanation of streamline and turbulent motion - mention of the equation of continuity - mention of expressions for PE, KE and pressure energy of an element of a liquid flowing through a pipe – statement and explanation of Bernoulli's Theorem and its application to the uplift of an aircraft sprayer. Surface Tension: Concept of adhesive and cohesive forces - definition of Surface energy and surface tension and angle of contact - explanation of the capillary rise and mention of its expression - mention of application of surface tension to (i) formation of drops and bubbles (ii) capillary action in the wick of a lamp (iii) action of detergents. Work - Power - Energy: Work done by a force - F.S - unit of work - graphical representation of work done by a constant and variable force - power - units of power - energy - derivation of expression for gravitation potential energy and kinetic energy of a moving body - statement of work-energy theorem - mention of expression for the potential energy of a spring - statement and explanation of the law of conservation of energy - illustration in the case of a body sliding down on an inclined plane - discussion of special case = 90 degrees, for a freely falling body - explanation of conservative and non-conservative forces with examples - explanation of elastic and inelastic collisions with examples - coefficient of restitution - problems. Gravitation: Statement and explanation of Law of Gravitation - definition of G - derivation of relation between g and G - mention of expression for the variation of g with altitude, depth and latitude - statement and explanation of Kepler’s Laws of planetary motion - definition of orbital velocity and escape velocity and mention of their expressions - satellites - basic concepts of geostationary satellites, launching of satellites - IRS and communication satellites - a brief explanation of Inertial mass and gravitational mass - weightlessness - remote sensing and essentials of space communication - problems. Concurrent Co-planner forces: Definition of resultant and equilibrant - statement of the law of parallelogram of forces - derivation of expression for magnitude and direction of two concurrent coplanar forces - law of triangle of forces and its converse - Lami’s Theorem - problems. |
Heat |
Gas Laws: Statement and explanation of Boyle’s Law and Charles’ Law - definition of Pressure and Volume Coefficient of a gas - absolute zero - Kelvin scale of temperature - mention of the perfect gas equation - explanation of isothermal and adiabatic changes - mention of Van-der-Waal’s equation of state for real gases. Mode of heat transfer: Conduction of heat - steady-state - temperature gradient - definition of the coefficient of thermal conductivity - basic concepts of convection of heat - radiation - properties of thermal radiation - radiant energy - definition of emissivity and absorptivity - perfect black body - statement and explanation of Kirchhoff’s Law. Newton’s Law of cooling - Stefan’s Law - Wien’s Displacement and Planck’s Law - qualitative explanation of Solar Constant and surface temperature of the sun - principle and working of total radiation pyrometer - problems. Unit 3- Geometrical Optics Waves: Waves around us - brief note on light waves, sound waves, radio waves, microwaves, seismic waves - wave as a carrier of energy - classification of waves. (i) based on medium - mechanical and electromagnetic waves (ii) based on the vibration of particles in the medium - Longitudinal & Transverse waves - one, two & three-dimensional waves with an example - definition of wave amplitude, wave frequency, wave period, wavelength and wave velocity - concept to establish the relation between the path of the phase of a wave - derivation v=f difference and phase difference - definition of a progressive wave - and its characteristics - derivation of the equation of a progressive wave - different forms of a progressive wave equation - definition of wave intensity - mention of expression of wave intensity and its unit - statement and explanation of principles of superposition of waves with examples - problems. Sound: Properties of sound - speed of sound in a gas - explanation of Newton’s Formula for speed of sound - correction by Laplace - Newton - Laplace Formula - discussion of factors affecting speed i.e. pressure, temperature, humidity and wind - definition of sound intensity - explanation of loudness and its unit - definition of intensity level and it's unit - mention of the relation between intensity and loudness - the distinction between noise and musical note - characteristics of a musical note - the phenomenon of beats and its theory - application of beats (i) to find the frequency of a note (ii) to tune the musical instruments -Doppler Effect - derivation of expression for apparent frequency in general case and discussion to special cases - qualitative comparison of Doppler Effect in sound and light - problems. Refraction at a plane surface: Refraction through a parallel-sided glass slab - derivation of expressions for lateral shift and normal shift (object in a denser medium) - total internal reflection and its applications -optical fibres and its application in communication - problems. Refraction through a prism: Derivation of expression for the refractive index in terms of A and D -dispersion through a prism - experimental - arrangement for pure spectrum - deviation produced by a thin prism - dispersive power - mention of condition for dispersion without deviation - problems. Refraction at a spherical surface: Derivation of the relation - connecting n,u,v and r for refraction at a spherical surface (concave towards a point object in a denser medium) derivation of lens maker’s formula -the power of a lens - magnification - derivation of expression for the equivalent focal length of combination of two thin lenses in contact - mention of expression for the equivalent focal length of two thin lenses separated by a distance - problems. |
Physical Optics |
Introduction to Theories of Light: A brief explanation of Newton’s corpuscular theory, Huygen’s wave theory and Maxwell’s electromagnetic theory - mention of expression for o, qualitative explanation of Hertz’s experiment – brief eom speed of light C=1/ explanation of Planck’s quantum theory of radiation -dual nature of light. Interference: Explanation of the phenomenon theory of interference - derivation of conditions for constructive and destructive interference. Young’s Double-slit Experiment, derivation of expression for fringe width - qualitative explanation of interference at thin films and Newton’s rings - problems. Diffraction: Explanation of the phenomenon - the distinction between Fresnel and Fraunhofer Diffraction -qualitative explanation of diffraction at single slit and analysis of diffraction pattern (Fraunhofer type) - qualitative explanation of plane diffraction grating at normal incidence - limit of resolution - resolving power - Rayleigh’s Criterion - definition and mention of expression for resolving powers of microscope and telescope - problems. Polarisation: Explanation of the phenomenon - representation of polarized and unpolarised light -explanation of plane of polarization and plane of vibration - methods of producing plane-polarized light: by reflection - Brewster’s Law, refraction, double refraction, selective absorption - construction and application of polaroids - optical activity-specific rotatory power - construction and working of Laurent’s half shade polarimeter - mention of circularly and elliptically polarized light - problems. Speed of light: Michelson’s rotating mirror experiment to determine of light - the importance of speed of light. |
Electrostatics |
Electric charges: Concept of charge - Coulomb’s Law, absolute and relative permittivity - SI unit of charge. Electrostatic Field: Concept of electric field - definition of field strength - derivation of expression for the field due to an isolated change, the concept of dipole - mention of expression for the field due to a dipole -definition of dipole moment - mention of expression for torque on a dipole - explanation of polarization of a dielectric medium - dielectric strength - the concept of lines of force and their characteristics - explanation of electric flux - statement and explanation of Gauss theorem and its applications to derive expressions for electric intensity (a) near the surface of a charged conductor (b) near a spherical conductor - the concept of electric potential - derivation of the relation between electric field and potential - derivation of expression for potential due to an isolated charge - explanation of potential energy of a system of charges - problems. Capacitors: Explanation of capacity of a conductor and factors on which it depends - definition of capacitance and its unit - derivation of expression for capacity of a spherical conductor - the principle of a capacitor - derivation of expression for the capacitance of parallel plate capacitor - mention of expression for the capacitance of spherical and cylindrical capacitors - derivation of expression for energy stored in a capacitor - derivation of expression for the equivalent capacitance of capacitors in series and parallel - mention of uses of capacitors - problems. |
Current Electricity |
Electric current: Microscope view of current through conductors (random motion of electrons) - explanation of drift d -velocity and mobility - derivation of expression for current I = neA deduction of Ohm’s Law - the origin of resistance - definition of resistivity - temperature coefficient of resistance - concept of superconductivity - explanation of critical temperature, critical field and high-temperature superconductors - mention of uses of superconductors - thermistors and mention of their uses - colour code for resistors -derivation of expression for effective resistance of resistances in series and parallel -derivation of expression for branch currents - definition of emf and internal resistance of a cell - Ohm’s law applied to a circuit -problems. Kirchoff’s Laws: Statement and explanation of Kirchoff’s Laws for the electrical network - explanation of Wheatstone’s network - derivation of the condition for its balance by applying Kirchoff’s laws - the principle of metre bridge - problems. Magnetic effect of electric current: Magnetic field produced by electric current - statement and explanation of Biot - Savart (Laplace’s) Law - derivation of expression for the magnetic field at any point on the axis of a circular coil carrying current and hence expression for the magnetic field at the centre - current in a circular coil as a magnetic dipole - explanation of magnetic moment of the current loop - mention of expression for the magnetic field due to (i) a straight current-carrying conductor (ii) at a point on the axis of a solenoid - basic concepts of terrestrial magnetism - statement and explanation of Tangent law -construction and theory of tangent galvanometer - problems. The mechanical effect of electric current: Mention of expression for the force on a charge moving in a magnetic field - mention of expression for force on a conductor carrying current kept in a magnetic field - statement of Fleming’s left hand rule - explanation of magnetic field strength in terms of flux density - derivation of expression for the force between two parallel conductors carrying currents and hence definition of ampere -mention of expression for torque on a current loop kept in an uniform magnetic field - construction and theory of moving coil galvanometer - conversion of a pointer galvanometer into an ammeter and voltmeter -problems. Electromagnetic Induction: Statement explanation of Faraday’s laws of electromagnetic induction and Lenz’s Law - derivation of expression for emf induced in a rod moving in a uniform magnetic field - explanation of self induction and mutual induction - mention of expression for energy stored in a coil -explanation of eddy currents - alternating currents - derivation of expression for sinusoidal emf - definition of phase and frequency of ac - mention of the expression for instantaneous, peak, rms, and average values - derivation of expression for current in case of ac applied to a circuit containing (i) pure resistor (ii) inductor (iii) capacitor - derivation of expression for impedance and current in LCR series circuit by phasor diagram method - explanation of resonance - derivation of expression for resonant frequency - brief account of sharpness of resonance and Q-factor - mention of expression for power in ac circuits - power factor and wattless current - qualitative description of choke -basic ideas of magnetic hysteresis - construction and working of transformers - mention of sources of power loss in transformers - ac meters - principle and working of moving iron meter - qualitative explanation of transmission of electrical power - advantages of ac and dc - problems. |
Atomic Physics |
Introduction to atomic physics: Mention of the types of electron emission - description and theory of Dunnington’s method of finding e/m of an electron - explanation of types of spectra: emission and absorption spectra - brief account of Fraunhoffer lines - qualitative explanation of electromagnetic spectrum with emphasis on frequency. Photo electric effect: Explanation of photo electric effect - experiment to study photo electric effect - experimental observations - Einstein’s photo electric equation and its explanation - principle and uses of photo cells: (i) photo emissive (ii) photo voltaic (iii) photo conductive cells - problems. Dual nature of matter: Concept of matter waves - arriving at the expression for de Brogile Wave length - principle and working of G.P. Thomson’s experiment - principle of Electron Microscope - Scanning Electron Microscope Transmission Electron Microscope and Atomic -Force Microscope. Bohr’s Atom model: Bohr’s atomic model for Hydrogen like atoms - Bohr’s postulates - arriving at the expressions for radius, velocity, energy and wave number - explanation of spectral series of Hydrogen -energy level diagram - explanation of ionization and excitation energy - limitations of Bohr’s theory -qualitative explanation of Sommerfeld & Vector atom models - problems. Scattering of light: Explanation of coherent and incoherent scattering - blue of the sky and sea - red at sunrise and sunset - basic concepts and applications of Raman Effect. Lasers: Interaction between energy levels and electromagnetic radiation - laser action - population inversion - optical pumping - properties of lasers - construction and working of Ruby laser - mention of applications of lasers - brief account of photonics. Nuclear Physics: Characteristics of nucleus - qualitative explanation of liquid drop model - qualitative explanation of nuclear magnetic resonance (NMR) and its applications in medical diagnostics as MRI -nuclear forces and their characteristics - explanation of Einstein’s mass - energy relation - definition of amu and eV - arriving at 1amu = 931 Mev - examples to show the conversion of mass into energy and vice-versa - mass defect - binding energy - specific binding energy - BE curve - packing fraction. Nuclear fission with equations - nuclear chain reaction - critical mass - controlled and un-controlled chain reactions - types of nuclear reactors and mention of their principles - disposal of nuclear waste. Nuclear fusion - stellar energy (carbon & proton cycles) - problems. Radioactivity: Laws of radioactivity (i) -mSoddy’s group displacement laws (ii) decay law - derivation of N=NOe- explanation of decay constant - derivation of expression for half life - mention of expression for mean life - relation between half and mean life - units of activity: Bequerrel and Curie - Artificial transmutation: Artificial radioactivity - radio isotopes and mention of their uses - brief account of biological effects of radiations and safety measures - problems. Elementary particles: Basic concepts of - decay - neutrino hypothesis leptons and hadrons - qualitative explanation of Quarks. Solid state electronics: Qualitative explanation of Bond Theory of solids - classification of conductors, insulators and semiconductors - intrinsic and extrinsic semiconductors - p-type and n-type semiconductors - construction and action of pn-junction - forward and reverse biasing - half wave and full wave rectification -function and application of light emitting diodes - photo diode - laser diode - transistors - npn and pnp transistors - action of transistor - npn transistor as an amplifier in CE mode. Digital Electronics: Logic gates - AND, OR, NOR & NAND symbols and truth table - applications of logic gates (Boolean equations) - half adder and full adder. Soft condensed matter physics: Liquid crystals - classification, thermotropic ( nematic, cholesteric and smectic) and lyotropic liquid crystals - mention of applications of liquid crystals - basic concepts of emulsions, gels & foams. |
MET Syllabus for Chemistry
Units | Topics |
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Stoichiometry |
Equivalent mass of elements - definition, principles involved in the determination of equivalent masses of elements by hydrogen displacement method, oxide method, chloride method and inter conversion method (experimental determination not needed). Numerical problems. Equivalent masses of acids, bases and salts. Atomic mass, Molecular mass, vapour density-definitions. Relationship between molecular mass and vapour density. Concept of STP conditions. Gram molar volume. Experimental determination of molecular mass of a volatile substance by Victor Meyer’s method. Numerical problems.Mole concept and Avogadro number, numerical problems involving calculation of Number of moles when the mass of substance is given, the mass of a substance when number of moles are given and number of particles from the mass of the substance. Numerical problems involving mass-mass, mass-volume relationship in chemical reactions.Expression of concentration of solutions-ppm, normality, molarity and mole fraction. Principles of volumetric analysis- standard solution, titrations and indicators-acid-base (phenolphthalein and methyl orange) and redox (Diphenylamine). Numerical problems. |
Atomic Structure |
Introduction- constituents of atoms, their charge and mass.Atomic number and atomic mass.Wave nature of light, Electromagnetic spectrum-emission spectrum of hydrogen-Lyman series, Balmer series, Paschen series, Brackett series and Pfund series. Rydberg’s equation. Numerical problems involving calculation of wavelength and wave numbers of lines in the hydrogen spectrum. Atomic model- Bohr’s theory, (derivation of equation for energy and radius not required). Explanation of origin of lines in hydrogen spectrum. Limitations of Bohr’s theory. Dual nature of electron- distinction between a particle and a wave. de Broglie’s Theory. Matter-wave equation (to be derived). Heisenberg’s uncertainty principle (Qualitative). Quantum numbers - n, l, m and s and their significance and inter relationship. Concept of orbital- shapes of s, p and d orbitals. Pauli’s Exclusion Principle and Aufbau principle. Energy level diagram and (n+1) rule. Electronic configuration of elements with atomic numbers from 1 to 54. Hund’s rule of maximum multiplicity.General electronic configurations of s, p and d block elements. |
Periodic Properties |
Periodic table with 18 groups to be used.Atomic radii (Van der Waal and covalent) and ionic radii: Comparison of size of cation and anion with the parent atom, size of isoelectronic ions. Ionization energy, electron affinity, electronegativity- Definition with illustrations. Variation patterns in atomic radius, ionization energy, electron affinity, electronegativity down the group and along the period and their interpretation. |
Oxidation Number |
Oxidation and reduction-Electronic interpretation.Oxidation number: definition, rules for computing oxidation number. Calculation of the oxidation number of an atom in a compound/ion. Balancing redox equations using oxidation number method, calculation of equivalent masses of oxidising and reducing agents. |
Gaseous State |
Gas Laws: Boyle’s Law, Charles’ Law, Avogadro’s Hypothesis, Dalton’s Law of partial pressures, Graham’s Law of diffusion and Gay Lussac’s Law of combining volumes. Combined gas equation. Kinetic molecular theory of gases-postulates, root mean square velocity, derivation of an equation for the pressure exerted by a gas. Expressions for r.m.s velocity and kinetic energy from the kinetic gas equation.Numerical problems. Ideal and real gases, Ideal gas equation, value of R (SI units). Deviation of real gases from the ideal behaviour. PV-P curves. Causes for the deviation of real gases from ideal behaviour. Derivation of Van der Waal’s equation and interpretation of PV-P curves |
Chemical Kinetics |
Introduction. Commercial importance of rate studies. Order of a reaction. Factors deciding the order of a reaction-relative concentrations of the reactants and mechanism of the reaction. Derivation of equation for the rate constant of a first order reaction. Unit for the rate constant of a first order reaction. Half-life period. Relation between half-life period and order of a reaction. Numerical problems.Determination of the order of a reaction by the graphical and the Ostwald’s isolation method. Zero order, fractional order and pseudo first order reactions with illustrations. Effect of temperature on the rate of a reaction-temperature coefficient of a reaction. Arrhenius interpretation of the energy of activation and temperature dependence of the rate of reaction. Arrhenius Equation. Influence of catalyst on energy profile. Numerical problems on energy of activation. |
Organic Compounds with Oxygen-2, Amines |
Phenols Uses of phenol. Aldehydes and Ketones: Uses of methanol, benzaldehyde and acetophenone Monocarboxylic Acids Uses of methanoic acid and ethanoic acid. Amines Uses of Aniline |
Hydrocarbons-2 |
Stability of Cycloalkanes-Baeyer’s Strain theory-interpretation of the properties of Cycloalkanes, strain less ring. Elucidation of the structure of Benzene - Valence Bond Theory and Molecular Orbital Theory. Mechanism of electrophilic substitution reactions of Benzene-halogenations, nitration, sulphonation and Friedel Craft’s reaction. |
Haloalkanes |
Monohalogen derivatives: |
Coordination Compounds |
Co-ordination compound: Definition, complex ion, ligands, types of ligands-mono, bi, tri and polydentate ligands. Co-ordination number, isomerism (ionization linkage, hydrate), Werner’s Theory, Sidgwick’s Theory, and E A N rule, Nomenclature of coordination, compounds. Valence Bond Theory: sp^{3}, dsp^{2} and d^{2}sp^{3} hybridisation taking [Ni(Co)4], [Cu(NH_{3})_{4}]SO_{4}, K_{4}[Fe(CN)6] respectively as examples. |
Chemical Bonding-2 |
Covalent bonding-molecular orbital theory: linear combination of atomic orbitals (Qualitative approach), energy level diagram, rules for filling molecular orbitals, bonding and anti bonding orbitals, bond order, electronic configuration of H2, Li2 and O2 Non existence of He2 and paramagnetism of O2. Metallic bond: Electron gas theory (Electron Sea model), definition of metallic bond, correlation of metallic properties with nature of metallic bond using electron gas theory. |
Chemical Thermodynamics-2 |
Spontaneous and non-spontaneous process. Criteria for spontaneity-tendency to attain a state of minimum energy and maximum randomness. Entropy - Entropy as a measure of randomness, change in entropy, unit of entropy. Entropy and spontaneity. Second law of thermodynamics. Gibbs’ free as a driving force of a reaction Gibbs’ Equation. Prediction of feasibility of a process in terms of • G using Gibbs’ Equation. Standard free energy change and its relation to Kp (equation to be assumed). Numerical problems. |
Solid State |
Crystalline and amorphous solids, differences. Types of crystalline solids - covalent, ionic, molecular and metallic solids with suitable examples. Space lattice, lattice points, unit cell and Co- ordination number. |
Electrochemistry |
Electrolytes and non-electrolytes. Electrolysis-Faraday’s Laws of electrolysis. Numerical problems. Arrhenius theory of electrolytic dissociation, Merits and limitations. Specific conductivities and molar conductivity-definitions and units. Strong and weak electrolytes-examples. Factors affecting conductivity.Acids and Bases: Arrhenius’ concept, limitations. Bronsted and Lowry’s concept, merits and limitations. Lewis concept, Strengths of Acids and Bases - dissociation constants of weak acids and weak bases. Ostwald’s dilution law for a weak electrolytes-(equation to be derived) - expression for hydrogen ion concentration of weak acid and hydroxyl ion concentration of weak base - numerical problems. Ionic product of water. pH concept and pH scale. pKa and pkb values-numerical problems. Buffers, Buffer action, mechanism of buffer action in case of acetate buffer and ammonia buffer. Henderson’s equation for pH of a buffer (to be derived). Principle involved in the preparation of buffer of required pH-numerical problems. Ionic equilibrium: common ion effect, solubility. 2B and AB2product, expression for Ksp of sparingly soluble salts of types AB, A B2Relationship between solubility and solubility product of salts of types AB, A. Applications of common ion effect and solubility product in inorganic2and AB qualitative analysis. Numerical problems. Electrode potential: Definition, factors affecting single electrode potential. Standard electrode potential. Nernst’s equation for calculating single electrode potential (to be assumed). Construction of electro-chemical cells-illustration using Daniel cell. Cell free energy change [•Go =-nFEo (to be assumed)]. Reference electrode: Standard Hydrogen Electrode-construction, use of SHE for determination of SRP of other single electrodes. Limitations of SHE. |
Organic Chemistry |
Inductive effect, Mesomeric effect and Electromeric effect with illustrations, Conversion of methane to ethane and vice versa and Methanol to ethanol and vice versa |
Isomerism -2 |
Stereo isomerism: geometrical and optical isomerismGeometrical isomerism-Illustration using 2-butene, maleic acid and fumaric acid as example, Optical Isomerism-Chirality, optical activity-Dextro and Laevo rotation (D and L notations). |
Carbohydrates |
Biological importance of carbohydrates, classification into mono, oligo and poly saccharides. Elucidation of the open chain structure of Glucose. Haworth’s structures of Glucose, Fructose, Maltose and Sucrose (elucidation not required). |
Oils and Fats |
Biological importance of oils and fats, Fatty acids-saturated, unsaturated, formation of triglycerides. Generic formula of triglycerides. Chemical nature of oils and fats-saponification, acid hydrolysis, rancidity refining of oils, hydrogenation of oils, drying oils, iodine value. |
Amino Acids and Proteins |
Aminoacidsa Biological importance of proteins, - General formula |
Metallurgy -2 |
Physico-chemical concepts involved in the following metallurgical operations - |
Industrially Important Compounds |
Manufacture of Caustic soda by Nelson’s cell Method, Ammonia by Haber’s process, Sulphuric acid by Contact process and Potassium dichromate from chromite.Uses of the above compounds. |
Group 18, Nobel Gases |
Applications of noble gases. Isolation of rare gases from Ramsay and Raleigh’s Method and separation of individual gases from noble gas mixture (Dewar’s charcoal adsorption method).Preparation of Pt XeF6 by Neil Bartlett. |
d- Block elements (transition elements) |
Definition. 3d series: electronic configurations, size, variable oxidation states, colour, magnetic properties, catalytic behaviour, complex formation and their interpretations. |
Theory of Dilute Solutions |
Vant Hoffs theory of dilute solutions, colligative property. Examples of colligative properties-lowering of vapour pressure, elevation in boiling points, depression in freezing point and osmotic pressure. |
Colloids |
Introduction. Colloidal system and particle size. Types of colloidal systems. Lyophilic and lyiphobic sols, examples and differences. Preparation of sols by Bredig’s arc method and peptisation. Purification of sols-dialysis and electrodialysis. Properties of sols-Tyndall effect, Brownian movement electrophoresis, origin of charge, coagulation, Hardy and Schulze rule, Protective action of sols. Gold number. Gold number of gelatin and starch. Applications of colloids. Electrical precipitation of smoke, clarification of drinking water and formation of delta. |
MET Syllabus for Mathematics
Units | Topics |
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Partial Fractions | Rational functions, proper and improper fractions, reduction of improper fractions as a sum of a polynomial and a proper fraction. Rules of resolving a rational function into partial fractions in which denominator contains (i) Linear distinct factors, (ii) Linear repeated factors, (iii) Non repeated non factorizable quadratic factors [problems limited to evaluation of three constants]. |
Logarithims | (i) Definition Of logarithm (ii) Indices leading to logarithms and vice versa (iii) Laws with proofs: (a) logam+logan = loga(mn) (b) logam - logan = loga(m/n) (c) logamn = nlogam (d) log b m = logam/logab (change of base rule) (iv) Common Logarithm: Characteristic and mantissa; use of logarithmic tables, problems, theorem |
Mathematical Induction | (i) Recapitulation of the nth terms of an AP and a GP which are required to find the general term of the series (ii) Principle of mathematical Induction proofs of a. ?n =n(n+1)/2 b.?n2 =n(n+1)(2n+1)/6 c. ?n3 = n2 (n+1)2/4 By mathematical induction Sample problems on mathematical induction |
Summation of Finite Series | (i) Summation of series using ?n, ?n2, ?n3 (ii) Arithmetico-Geometric series (iii) Method of differences (when differences of successive terms are in AP) (iv) By partial fractions |
Theory of Equations | (i) Fundamental Theorem of Algebra: An nth degree equation has n roots (without proof) (ii) Solution of the equation x2 +1=0.Introducing square roots, cube roots and fourth roots of unity (iii) Cubic and biquadratic equations, relations between the roots and the co-efficients. Solutions of cubic and biquadratic equations are given certain conditions (iv) Concept of synthetic division (without proof) and problems. Solution of equations by finding an integral root between - 3 and +3 by inspection and then using synthetic division. Irrational and complex roots occur in conjugate pairs (without proof). Problems based on this result in solving cubic and biquadratic equations. |
Binomial Theorem | Permutation and Combinations: Recapitulation of nPr and nCr and proofs of (i) general formulae for nPr and nCr (ii) nCr = nCn-r (iii) nCr-1 + n C r = n+1 C r (1) Statement and proof of the Binomial theorem for a positive integral index by induction. Problems to find the middle term(s), terms independent of x and term containing a definite power of x. (2) Binomial co-efficient - Proofs of (a) C 0 + C 1 + C 2 + …………………..+ C n = 2 n (b) C 0 + C 2 + C 4 + …………………..= C 1+ C 3 + C 5 + ………2 n – 1 |
Mathematical Logic | Proposition and truth values, connectives, their truth tables, inverse, converse, contrapositive of a proposition, Tautology and contradiction, Logical Equivalence - standard theorems, Examples from switching circuits, Truth tables, problems. |
Graph Theory | Recapitulation of polyhedra and networks (ii) Types of graphs: Finite graph, multiple graph, simple graph, (p,q) graph, null graph, complete graph, bipartite graph, complete graph, regular graph, complete graph, self complementary graph, subgraph, supergraph, connected graph, Eulerian graph and trees. (iii) The following theorems: (1) In a graph with p vertices and q edges ?deg n i = 2 q (iv) Definition of connected graph, Eulerian graphs and trees - simple probles. |
Analytical Geometry | 1. Co-ordinate system (i) Rectangular co-ordinate system in a plane (Cartesian) (ii) Distance formula, section formula and mid-point formula, centroid of a triangle, area of a triangle - derivations and problems. (iii) Locus of a point. Problems. 2 .Straight line (i)Straight line: Slope m = (tan?) of a line, where ? is the angle made by the line with the positive x-axis, slope of the line joining any two points, general equation of a line - derivation and problems. (ii) Conditions for two lines to be (i) parallel, (ii) perpendicular. Problems. (iii) Different forms of the equation of a straight line: (a) slope - point form (b) slope intercept form (c) two points form(d) intercept form and (e) normal form - derivation; Problems. (iv) Angle between two lines point of intersection of two lines condition for concurrency of three lines. Length of the perpendicular from the origin and from any point to a line. Equations of the internal and external bisectors of the angle between two lines- Derivations and Problems. 3. Pair of straight lines (i) Pair of lines, homogenous equations of the second degree. General equation of second degree. Derivation of (1) condition for pair of lines (2) conditions for pair of parallel lines, perpendicular lines and distance between the pair of parallel lines.(3) Condition for pair of co-incidence lines and (4) Angle and point of intersection of a pair of lines. |
Limits and Continuity | (1) Limit of a function - definition and algebra of limits. (2) Standard limits (with proofs) (3) Statement of limits (without proofs): (4) Evaluation of limits which tale the form Lim f(x)/g(x)[0/0 form]’ Lim f(n)/g(n) |
Trigonometry | Measurement of Angles and Trigonometric Functions |
Elements of Number Theory | (i) Divisibility - Definition and properties of divisibility; statement of the division algorithm. Congruence modulo m - definition, proofs of the following properties: (1) ?mod m" is an equivalence relation Conditions for the existence of the solution of linear congruence ax ? b (mod m) (statement only), Problems on finding the solution of ax ? b (mod m) |
Group theory | Groups - (i) Binary operation, Algebraic structures. Definition of semigroup, group, Abelian group - examples from real and complex numbers, Finite and infinite groups, order of a group, composition tables, Modular systems, modular groups, group of matrices - problems.
A non-empty subset H of a group G is a subgroup of G iff (i) " a, b ? H, a*b ? H and (ii) For each a ? H,a-1? H (b) A non-empty subset H of a group G is a subgroup of G iff a, b ? H, a * b-1 ? H. Problems. |
Vectors | (i) Definition of vector as a directed line segment, magnitude and direction of a vector, equal vectors, unit vector, position vector of point, problems. 2. cos(A±B) = cosAcosB ? sinAsinB |
Matrices and Determinants | (i) Recapitulation of types of matrices; problems |
Circles | (i) Definition, equation of a circle with centre (0,0) and radius r and with centre (h,k) and radius r. Equation of a circle with (x1 ,y1) and (x2,y2) as the ends of a diameter, general equation of a circle, its centre and radius - derivations of all these, problems. |
Conic Sections (Analytical Geometry) | Definition of a conic 2. Ellipse 3 Hyperbola |
Complex numbers | (i) Definition of a complex number as an ordered pair, real and imaginary parts, modulus and amplitude of a complex number, equality of complex numbers, algebra of complex numbers, polar form of a complex number. Argand Diagram, Exponential form of a complex number. Problems. |
Differentiation | (i) Differentiability, derivative of function from first principles, Derivatives of sum and difference of functions, product of a constant and a function, constant, product of two functions, quotient of two functions from first principles. Derivatives of Xn , e x, a x, sinx, cosx, tanx, cosecx, secx, cotx, logx from first principles, problems. |
Applications of Derivatives | (i) Geometrical meaning of dy/dx, equations of tangent and normal, angle between two curves. Problems. |
Inverse Trigonometric Functions | (i) Definition of inverse trigonometric functions, their domain and range. Derivations of standard formulae. Problems. General solutions of Trigonometric Equations |
Integration |
(i) Statement of the fundamental theorem of integral calculus (without proof). Integration is the reverse process of differentiation. Standard formulae. Methods of integration, (1) substitution, (2) partial fractions, (3) integration by parts. Problems. |
Definite Integrals | (i) Evaluation of definite integrals, properties of definite integrals, problems. |
Differential Equations | Definitions of order and degree of a differential equation, Formation of a first-order differential equation, Problems. Solution of first-order differential equations by the method of separation of variables, equations reducible to the variable separable form. General solution and particular solution. Problems. |
For the MET 2023 Syllabus - Click Here
MET 2023 Exam Pattern
Along with the MET 2023 syllabus, the candidates are also advised to check the exam pattern. The authorities have released the MET exam pattern 2023 on the official website. Candidates can know details regarding the exam mode, duration, type of questions, total number of questions, marking scheme and more through the MET exam pattern. To be well-prepared for the exam, the candidates are advised to be familiar with the pattern and syllabus of MET 2023.
MET 2023 Syllabus Frequently Asked Questions (FAQs)
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Yes. Candidates will not be required to submit their application form number and date of birth to access the MET mock test. The candidates will have to register and complete the application process of MET to access the mock test link. The authorities will send the mock test link online through th...Yes. Candidates will not be required to submit their application form number and date of birth to access the MET mock test. The candidates will have to register and complete the application process of MET to access the mock test link. The authorities will send the mock test link online through the candidate's registered email address. After receiving the mock test link, the candidates can click on the link and attempt the mock test. However, the system specifications as mentioned by the authorities have to be MET for the mock test to run smoothly.
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Can I skip questions in MET mock test?
Yes. Candidates will be allowed to skip questions in MET mock test. The authorities provide the candidates an option to skip questions and later return to solve it if they wish to. This allows the candidates to attempt easy questions quickly and spend their remaining time on the difficult ones. H...Yes. Candidates will be allowed to skip questions in MET mock test. The authorities provide the candidates an option to skip questions and later return to solve it if they wish to. This allows the candidates to attempt easy questions quickly and spend their remaining time on the difficult ones. However, the skipped questions have to be answered before the examination ends otherwise it will be counted as unattempted. In MCQs, the candidates are advised to be careful as there is negative marking.
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What is the pattern of the MET mock test?
MET mock test pattern is similar to the entrance examination. The total duration of the mock test is 2 hours and the candidates will have to answer 60 Multiple Choice Questions (MCQ) and Numerical Answer Type NAT Questions. No extra time will be provided to the candidates in the mock test. For ev...MET mock test pattern is similar to the entrance examination. The total duration of the mock test is 2 hours and the candidates will have to answer 60 Multiple Choice Questions (MCQ) and Numerical Answer Type NAT Questions. No extra time will be provided to the candidates in the mock test. For every correct answer, 4 marks will be allotted. There is no negative marking in Numerical Answer Type Questions, however, for Multiple Choice Questions, 1 mark will be deducted for every wrong answer.
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Do I need to book slots for MET mock test?
No. Candidates do not need to book any slots for MET mock test. The link to access the MET mock test will be sent to the registered email address of all the candidates who completed the application process. The candidates will be able to access and attempt the mock test as per their availability....No. Candidates do not need to book any slots for MET mock test. The link to access the MET mock test will be sent to the registered email address of all the candidates who completed the application process. The candidates will be able to access and attempt the mock test as per their availability. Since the mock test is of 2 hours, the candidates will be required to allot enough time for the test and be well prepared. Mock tests are considered a good preparation method since it acts as a replica of the entrance examination.
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What is the duration of the MET mock test?
The duration of the MET mock test is similar to the entrance examination. Candidates will be allotted 2 hours to complete the mock test. All of the questions have to be answered within the allotted duration. Once the time is over, the paper will be automatically submitted and no answers can be ma...The duration of the MET mock test is similar to the entrance examination. Candidates will be allotted 2 hours to complete the mock test. All of the questions have to be answered within the allotted duration. Once the time is over, the paper will be automatically submitted and no answers can be marked or submitted. Candidates will have to prepare themselves and boost their time management skills to complete the examination within the allotted duration.
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What are the system specifications for MET 2023 mock test?
To access the MET mock test smoothly, the candidates are required to meet certain system specifications. For the mock test, the operation system should be Windows 10 (Pro, Enterprise, and Education editions) / Windows 8/8.1 (32-bit and 64-bit) (all editions) / Windows 7 (32-bit and 64-bit) (all e...To access the MET mock test smoothly, the candidates are required to meet certain system specifications. For the mock test, the operation system should be Windows 10 (Pro, Enterprise, and Education editions) / Windows 8/8.1 (32-bit and 64-bit) (all editions) / Windows 7 (32-bit and 64-bit) (all editions) and should include an Up-to-date Service pack, device drivers and security patches. The processor should be 2 core (4 vCPU) or above with 2.2 GHz or more clock speed with 2 GB RAM or above. The screen resolution should be 1024 x 768 and above. For the mock test to work smoothly, the internet browser should be the latest version of Google Chrome and the internet speed should be 2 MBPS or more.
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Do I need to be registered to access the MET mock test?
Yes. The candidates will have to fill out and complete the MET registration process to access the mock test. The authorities will send out the MET mock test link online through email to the registered candidates. If the candidates are not registered, then they will not be able to access the link ...Yes. The candidates will have to fill out and complete the MET registration process to access the mock test. The authorities will send out the MET mock test link online through email to the registered candidates. If the candidates are not registered, then they will not be able to access the link for the MET mock test. Candidates are advised to attempt the MET mock test to be aware of how the examination will be held and understand the process, marking scheme and more.
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Will MAHE release the MET 2023 mock test?
Yes. MAHE will release the MET mock test online. Candidates will be able to access the MET mock test from the link that will be sent to their registered email address. Through the mock test, the candidates will be able to attempt and understand the pattern of the examination. MET mock test will a...Yes. MAHE will release the MET mock test online. Candidates will be able to access the MET mock test from the link that will be sent to their registered email address. Through the mock test, the candidates will be able to attempt and understand the pattern of the examination. MET mock test will also let the candidates be prepared for the entrance examination as it will let them practice and become aware about their progress and commonly made mistakes. It is to be noted that the pattern of the mock test will be similar to the MET.
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What are the list of B.Tech programmes for which the MET cutoff will be prepared?
Through MET admission process, the candidates will be able to apply for admissions into various B.Tech courses. However, the number of courses vary as per the campus. The list of the total B.Tech courses for which the MET cutoff will be prepared by the MAHE authorities are - B.Tech Biotechnology,...Through MET admission process, the candidates will be able to apply for admissions into various B.Tech courses. However, the number of courses vary as per the campus. The list of the total B.Tech courses for which the MET cutoff will be prepared by the MAHE authorities are - B.Tech Biotechnology, B.Tech Chemical engineering, B.Tech (Hons) Chemical engineering (Computer Aided Process engineering), B.Tech (Hons) Chemical engineering (Petroleum engineering), B.Tech Civil, B.Tech (Hons) Civil engineering (Geoinformatics), B.Tech Artificial Intelligence and Data Science, B.Tech Computer & Communication, B.Tech Computer Science and engineering, B.Tech Computer Science and engineering (Artificial Intelligence), B.Tech Computer Science and engineering (Cyber Security), B.Tech Computer Science and engineering (Artificial Intelligence and Machine Learning), B.Tech (Hons) Computer Science and engineering (Artificial Intelligence and Machine Learning), B.Tech (Hons) Computer Science and engineering (Internet of Things and Intelligent System), B.Tech Data Science and engineering, B.Tech Information Technology, B.Tech Biomedical engineering, B.Tech Electrical and Computer engineering, B.Tech Electrical and Electronics engineering, B.Tech Electronics and Communication engineering, B.Tech Electronics and Instrumentation engineering, B.Tech Cyber Physical Systems, B.Tech Aeronautical engineering, B.Tech Automobile engineering, B.Tech Industrial engineering, B.Tech Mechanical engineering, B.Tech (Hons) Mechanical engineering (Robotics) and B.Tech Mechatronics.
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What is the expected MET 2023 cutoff?
Based on the previous year cutoff trends, the expected MET 2023 cutoff has been prepared. For MIT Manipal, the cutoff ranks is expected to range from 583 to 35385. For SMIT Sikkim, the cutoff can range from 17622 to 35488 and for MU Jaipur, the expected MET cutoff can range from 10787 to 35584. C...Based on the previous year cutoff trends, the expected MET 2023 cutoff has been prepared. For MIT Manipal, the cutoff ranks is expected to range from 583 to 35385. For SMIT Sikkim, the cutoff can range from 17622 to 35488 and for MU Jaipur, the expected MET cutoff can range from 10787 to 35584. Candidates can check the expected MET cutoffs to know their probable admission status. However, it is to be noted that the cutoffs are indicative and may not match with the official cutoffs that will be released.
5 Institutes accepting MET
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- Total Fees: ₹ 11.57 Lakh
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- 4 years
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- Full Time
- Total Fees: ₹ 3.46 Lakh
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- 2 years
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- Full Time
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- Total Fees: ₹ 14.92 Lakh
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- 4 years
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- Full Time
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- Total Fees: ₹ 12.80 Lakh
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- 4 years
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- Full Time
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Do I need any login credentials for MET mock test?
Reply to Saakshi Varsha Lama