Saakshi Varsha LamaAssistant Manager 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)
Q. Where can I check the MET 2023 syllabus?
Q. Which subjects have to be studied for MET 2023?
Q. Do I have to study the entire MET syllabus for the exam?
Q. Is the MET syllabus similar to the 12th standard syllabus?
Q. Will MET be held as a computer-based test?
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Comments
Yes, the official exam day guidelines will be available on the MET 2023 admit card. Candidates are advised to check and follow the MET 2023 exam day guidelines at the centre so that they do not face any problems. It is to be noted that all candidates will have to report at the centre at least an ...Yes, the official exam day guidelines will be available on the MET 2023 admit card. Candidates are advised to check and follow the MET 2023 exam day guidelines at the centre so that they do not face any problems. It is to be noted that all candidates will have to report at the centre at least an hour before the commencement of the examination. No electronic devices, including calculator will be allowed inside the centre. Candidates are also requested to follow the COVID-19 protocols and guidelines specified by the authorities.
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Can I show the soft copy of the MET 2023 admit card at the exam centre?
No, the authorities will not accept the soft copy of the MET 2023 admit card at the examination centre. The candidates will be required to present their MET 2023 admit card printout at the examination centre along with the identity proof and other required documents. If the candidates are unable ...No, the authorities will not accept the soft copy of the MET 2023 admit card at the examination centre. The candidates will be required to present their MET 2023 admit card printout at the examination centre along with the identity proof and other required documents. If the candidates are unable to produce the photocopy of their admit card and original identity proof, then they will not be allowed to enter the centre and attempt the examination. Therefore, all candidates are advised to download and print out the admit card.
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What other documents are required at the exam centre along with the MET 2023 admit card?
While reporting at the exam centre, the candidates will have to present their MET 2023 admit card. Along with the MET hall ticket 2032, the candidates will also have to bring their application form photocopy and identity proof. Some of the acceptable identity proofs are Passport/Driving License/V...While reporting at the exam centre, the candidates will have to present their MET 2023 admit card. Along with the MET hall ticket 2032, the candidates will also have to bring their application form photocopy and identity proof. Some of the acceptable identity proofs are Passport/Driving License/Voter ID card/PAN card/School ID or any government approved identity proof. If the candidates fail to produce any of the above-mentioned documents, then they will not be allowed to attempt the examination.
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Which details are available on the MET 2023 admit card?
MET 2023 admit card will consist of important details related to the candidate and the examination. Candidates are advised to check each details carefully and in case of any mistakes, they will have to immediately inform the authorities. Important details such as candidate's name, application for...MET 2023 admit card will consist of important details related to the candidate and the examination. Candidates are advised to check each details carefully and in case of any mistakes, they will have to immediately inform the authorities. Important details such as candidate's name, application form number, group, course, category, MET 2023 admit card number, exam date, timings and duration of the exam will be available on the admit card. The photograph and signature of the candidate will also be present on the MET 2023 admit card.
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The signature on the MET 2023 admit card is blurred. Do I need to contact the university officials for rectification?
In case, the signature in the MET 2023 admit card is showing blurred, the candidates are advised to immediately contact the officials. The authorities should be informed so that no problems arise during the examination date. In case, the candidates are allowed to use the same MET 2023 admit card ...In case, the signature in the MET 2023 admit card is showing blurred, the candidates are advised to immediately contact the officials. The authorities should be informed so that no problems arise during the examination date. In case, the candidates are allowed to use the same MET 2023 admit card at the exam centre, the authorities may provide some approval note to let the examination invigilators know about the problem. Therefore, the candidates are advised to contact the authorities and understand the situation thoroughly.
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I want to change my MET 2023 exam city preference. Can I change it after downloading the MET 2023 hall ticket?
No, the candidates will not be able to change the exam city preferences after downloading the MET 2023 admit card. The authorities will not entertain any requests for exam city changes after the application and slot booking process has been completed. Therefore, the candidates are advised to be c...No, the candidates will not be able to change the exam city preferences after downloading the MET 2023 admit card. The authorities will not entertain any requests for exam city changes after the application and slot booking process has been completed. Therefore, the candidates are advised to be careful while selecting their preferred exam city during the application and slot booking process. Allotment of exam centres for MET 2023 will be done as per the preferences submitted by the candidates and no changes will be entertained.
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I need to correct the spelling in my MET 2023 admit card. What is the procedure?
There is no online facility provided to correct the details in the MET 2023 admit card. In case the candidates find any errors in their personal details on the MET 2023 hall ticket, then they are advised to contact the authorities immediately. The corrections have to be done as soon as possible s...There is no online facility provided to correct the details in the MET 2023 admit card. In case the candidates find any errors in their personal details on the MET 2023 hall ticket, then they are advised to contact the authorities immediately. The corrections have to be done as soon as possible since MET admit card is an important document that will be required at the examination centre. Therefore, the candidates are advised to carefully check their MET 2023 admit card for any mistakes before downloading.
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Will the authority release any notification regarding the release of the MET 2023 hall ticket?
No, Manipal University will not release any notification regarding MET 2023 hall ticket. Candidates will be required to check the official MET 2023 dates to know the schedule of the examination and admission process. There is no official MET 2023 hall ticket date as it will be generated and be av...No, Manipal University will not release any notification regarding MET 2023 hall ticket. Candidates will be required to check the official MET 2023 dates to know the schedule of the examination and admission process. There is no official MET 2023 hall ticket date as it will be generated and be available for download after the candidates complete the slot booking process. Therefore, the candidates have to be aware of when the MET 2023 slot booking process will commence for each session so that they are able to complete the process before the final date and download the admit card.
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What is the process to download the MET 2023 admit card?
MET 2023 admit card has been released online for all registered candidates. The official link for the MET admit card 2023 is manipalotbs. Com. To generate the MET admit card, the candidates will have to log in using their application form number and OTBS password. The profile information had to b...MET 2023 admit card has been released online for all registered candidates. The official link for the MET admit card 2023 is manipalotbs. Com. To generate the MET admit card, the candidates will have to log in using their application form number and OTBS password. The profile information had to be checked and confirmed and the candidates had to book their examination date and timings as per their preference and availability. After the slots are confirmed and booked, the candidates will be able to download the MET 2023 admit card.
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Can I access the MET 2023 admit card offline?
No, candidates will not be able to access the MET 2023 admit card offline. The authorities will not send the MET 2023 hall ticket to the candidates through any offline mode i.e. post or in person. Candidates will be required to complete the slot booking process and download the generated admit ca...No, candidates will not be able to access the MET 2023 admit card offline. The authorities will not send the MET 2023 hall ticket to the candidates through any offline mode i.e. post or in person. Candidates will be required to complete the slot booking process and download the generated admit card. In case the candidates are not able to access their admit card or download it, then they are advised to immediately contact the authorities. Since the admit card is an important document, the candidates should have it printed out and ready before the examination.
3 Institutes accepting MET
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- 4 years
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- Full Time
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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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Will the exam guidelines be available in the MET 2023 admit card?
Reply to Saakshi Varsha Lama