MANIPAL UGET 2014 EXAMINATION SYLLABUS
The Manipal UGET 2014 Examination Syllabus for arithmetic, Physics, Chemistry and General English subjects is as follows. The test are composed on the topics mentioned herein:
1. Manipal UGET 2014 test program - English
Broadly, this paper includes queries on general English like recognizing of errors, sentence improvement, vocabulary etc.
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2. Manipal UGET 2014 test program - Physics
DYNAMICS
Newton’s laws of motion: 1st 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 variable mass state of affairs - third law of motion - distinctive action and reaction forces with examples - derivation of law of conservation of momentum with examples in standard of living - principle of reaction propulsion - mechanical phenomenon and non-inertial frames - apparent weight in a very raise and rocket/satellite - issues.
Fluid Dynamics: rationalization of contour and turbulent motion - mention of equation of continuity - mention of expressions for letter, KE ANd pressure energy of part of a liquid flowing through a pipe - statement and rationalization of Bernoulli’s theorem and its application to uplift of an craft sprayer.
Surface tension: idea of adhesive and cohesive forces - definition of Surface energy and physical phenomenon and angle of contact - rationalization of capillary rise and mention of its expression - mention of application of physical phenomenon to (i) formation of drops and bubbles (ii) capillarity in wick of a lamp (iii) action of detergents.
Work - power - energy: Work done by a force - F.S - unit of labor - graphical illustration of labor done by a relentless ANd variable force - power - units of power - energy - derivation of expression for gravitation mechanical energy and K.E. of a moving body - statement of labor - energy theorem - mention of expression for mechanical energy of a spring - statement and rationalization of law of conservation of energy - illustration within the case of a body slippy down on an simple machine - discussion of special case = 90o for a freely falling body - rationalization of conservative and non conservative forces with examples - rationalization of elastic and inflexible collisions with examples - constant of restitution - issues.
Gravitation: Statement and rationalization of law of gravitation - definition of G - derivation of relation between g and G - mention of expression for variation of g with altitude, depth and latitude - statement and rationalization of Kepler’s laws of planetary motion - definition of orbital speed and speed and mention of their expressions - satellites - basic ideas of geo-stationary satellites, launching of satellites - authority and communication satellites - temporary rationalization of mass and mass - weight - remote sensing and necessities of area communication - issues.
Concurrent Co-planar forces: Definition of resultant and equilibrant - statement of law of quadrangle of forces - derivation of expression for magnitude and direction of 2 simultaneous planar forces - law of triangle of forces and its converse - Lami’s theorem - issues.
HEAT
Gas laws: Statement and rationalization of Boyle’s law and Charle’s law - definition of Pressure and Volume constant of a gas - temperature - Kelvin scale of temperature - mention of gas equation - rationalization of equal and adiabatic changes - mention of Van-der-Waal’s equation of state for real gases.
Mode of warmth transfer: conductivity of warmth - steady state - gradient - definition of constant of thermal physical phenomenon - basic ideas of convection of warmth - radiation - properties of thermal radiation - energy - definition of emissivity and absorption factor - excellent black body - statement and rationalization of Kirchhoff’s law. Newton’s law of cooling - Stefan’s law - Wien’s displacement and Planck’s law - qualitative rationalization of rate and surface temperature of sun - principle and dealing of total pyrometer - issues.
GEOMETRICAL OPTICS
Waves: Waves around North American nation - temporary note on light-weight waves, sound waves, radio waves, small waves, seismal waves - wave as a carrier of energy - classification of waves. (i) supported medium - mechanical and magnetic force waves (ii) supported vibration of particles within the medium - Longitudinal & thwartwise waves - one, 2 & 3 dimensional waves with example - definition of wave amplitude, wave frequency, wave amount, wavelength and wave speed - idea to determine the relation between path of section of a wave - derivation v=f distinction and section distinction - definition of a progressive wave - and its characteristics - derivation of equation of a progressive wave - totally different varieties of a progressive differential equation - definition of wave intensity - mention of expression of wave intensity and its unit - statement and rationalization of principles of superposition of waves with examples - issues.
Sound: Properties of sound - speed of sound in a very gas - rationalization of Newton’s formula for speed of sound - correction by Laplace|Pierre Simon de Laplace|mathematician|astronomer|uranologist|stargazer} - Newton - Laplace formula - discussion of things poignant speed i.e. pressure, temperature, wetness and wind - definition of sound intensity - rationalization of loudness and its unit - definition of magnitude and its unit - mention of relation between intensity and loudness - distinction between noise and musical notation - characteristics of a musical notation - development of beats and its theory - application of beats (i) to seek out the frequency of a note (ii) to tune the musical instruments -Doppler impact - derivation of expression for apparent frequency generally case and discussion to special cases - qualitative comparison of Doppler effect in sound and lightweight - issues.
Refraction at a plane surface: Refraction through a parallel sided glass block - derivation of expressions for lateral shift and traditional shift (object in a very denser medium) - total internal reflection and its applications -optical fibers and its application in communication - issues.
Refraction through a prism: Derivation of expression for the ratio in terms of A and D -dispersion through a prism - experimental - arrangement for pure spectrum - deviation created by a skinny prism - dispersive power - mention of condition for dispersion while not deviation - issues.
Refraction at a spherical surface: Derivation of the relation - connecting n,u,v and r for refraction at a spherical surface (concave towards some extent object in a very denser medium) derivation of lens maker’s formula -power of a lens - magnification - derivation of expression for the equivalent distance of combination of 2 skinny lenses in-tuned - mention of expression for equivalent distance of 2 skinny lenses separated by a distance - issues.
PHYSICAL OPTICS
Introduction to Theories of Light: a short rationalization of Newton’s scientific theory, Huygen’s undulatory theory and Maxwell’s magnetic force theory - mention of expression for o, qualitative rationalization of Hertz’s experiment – temporary eomÖspeed of sunshine C=1/ rationalization of Planck’s scientific theory of radiation -dual nature of sunshine.
Interference: rationalization of the development theory of interference - derivation of conditions for constructive and harmful interference.
Young’s double slit experiment, derivation of expression for fringe breadth - qualitative rationalization of interference at skinny films and Newton’s rings - issues.
Diffraction: rationalization of the development - distinction between physicist and Fraunhoffer optical phenomenon -qualitative rationalization of optical phenomenon at single slit and analysis of optical phenomenon pattern (Fraunhoffer type) -qualitative rationalization of plane grating at traditional incidence - limit of resolution - resolution - Rayleigh’s criterion - definition and mention of expression for resolution powers of magnifier and telescope - issues.
Polarisation: rationalization of the development - illustration of polarized and unpolarised light-weight -explanation of plane of polarization and plane of vibration - ways of manufacturing plane polarized light-weight : by reflection - Brewster’s law, refraction, refraction, selective absorption - construction and application of polaroids - optical activity - specific turn power - construction and dealing of Laurent’s [*fr1] shade optical device - mention of circularly and elliptically polarized light-weight - issues.
Speed {of light-weight|of sunshine}: Michelson’s rotating mirror experiment to work out of sunshine - importance of speed of light.
ELECTROSTATICS
Electric charges: idea of charge - Coulomb’s law, absolute and relative permittivity - SI unit of charge.
Electrostatic Field: idea of electrical field - definition of intensity level - derivation of expression for the sphere owing to AN isolated modification, idea of dipole - mention of expression for the sphere owing to a dipole -definition of moment - mention of expression for force on a dipole - rationalization of polarization of a nonconductor medium - nonconductor strength - idea of lines of force ANd their characteristics - rationalization electrical|of electrical} flux - statement and rationalization of Gauss theorem and its applications to derive expressions for electric intensity (a) close to the surface of a charged conductor (b) close to a spherical conductor - idea of electrical potential - derivation of the relation between field and potential - derivation of expression for potential owing to an isolated charge - rationalization of mechanical energy of a system of charges - issues.
Capacitors: rationalization of capability of a conductor and factors on that it depends - definition of capacitance and its unit - derivation of expression for capability of a spherical conductor - principle of a electrical condenser - derivation of expression for capacitance of parallel plate electrical condenser - mention of expression for capacitance of spherical and cylindrical electrical condensers - derivation of expression for energy keep in a very capacitor - derivation of expression for equivalent capacitance of capacitors nonparallel and parallel - mention of uses of capacitors - issues.
3. Manipal UGET 2014 test program - arithmetic
MATHEMATICS - I
ALGEBRA
PARTIAL FRACTIONS
Rational functions, correct and improper fractions, reduction of improper fractions as a add of a polynomial and a correct fraction.
Rules of resolution a rational perform into partial fractions within which divisor contains
(i) Linear distinct factors, (ii) Linear perennial factors, (iii) Non perennial non factorizable quadratic factors [problems restricted to analysis of 3 constants].
LOGARITHMS
(i) Definition Of log
(ii) Indices resulting in logarithms and the other way around
(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 exponent tables,problems theorem
MATHEMATICAL INDUCTION
(i) Recapitulation of the ordinal terms of AN AP and a medico that square measure needed to seek out the final 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 issues on mathematical induction
SUMMATION OF FINITE SERIES
(i) Summation of series victimization ∑n, ∑n2, ∑n3
(ii) Arithmetico-Geometric series
(iii) technique of variations (when variations of sequential terms square measure in AP)
(iv) By partial fractions
THEORY OF EQUATIONS
(i) basic THEOREM OF ALGEBRA: AN ordinal degree equation has n roots(without proof)
(ii) answer of the equation x2 +1=0.Introducing sq. roots, cube roots and fourth roots of unity
(iii) three-dimensional and biquadratic equations, relations between the roots and also the co-efficients. Solutions of three-dimensional and biquadratic equations given bound conditions
(iv) idea of artificial division (without proof) and issues. answer of equations by finding AN integral root between - three and +3 by examination and so victimization artificial division.
Irrational and sophisticated roots occur in conjugate pairs (without proof). issues supported this lead to determination three-dimensional 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 theorem for a positive integral index by induction. issues to seek out the center term(s), terms freelance of x and term containing an exact power of x.
(2) Binomial co-efficient - Proofs of
(a) C zero + C one + C a pair of + …………………..+ C n = a pair of n
(b) C zero + C a pair of + C four + …………………..= C one+ C three + C five + ………2 n - 1
MATHEMATICAL LOGIC
Proposition and truth values, connectives, their truth tables, inverse, converse, contrapositive of a proposition, Tautology and contradiction, Logical Equivalence - commonplace theorems, Examples from switch circuits, Truth tables, problems.
check here Manipal UGET 2014 Seats Reservation.
1. Manipal UGET 2014 test program - English
Broadly, this paper includes queries on general English like recognizing of errors, sentence improvement, vocabulary etc.
............................................
2. Manipal UGET 2014 test program - Physics
DYNAMICS
Newton’s laws of motion: 1st 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 variable mass state of affairs - third law of motion - distinctive action and reaction forces with examples - derivation of law of conservation of momentum with examples in standard of living - principle of reaction propulsion - mechanical phenomenon and non-inertial frames - apparent weight in a very raise and rocket/satellite - issues.
Fluid Dynamics: rationalization of contour and turbulent motion - mention of equation of continuity - mention of expressions for letter, KE ANd pressure energy of part of a liquid flowing through a pipe - statement and rationalization of Bernoulli’s theorem and its application to uplift of an craft sprayer.
Surface tension: idea of adhesive and cohesive forces - definition of Surface energy and physical phenomenon and angle of contact - rationalization of capillary rise and mention of its expression - mention of application of physical phenomenon to (i) formation of drops and bubbles (ii) capillarity in wick of a lamp (iii) action of detergents.
Work - power - energy: Work done by a force - F.S - unit of labor - graphical illustration of labor done by a relentless ANd variable force - power - units of power - energy - derivation of expression for gravitation mechanical energy and K.E. of a moving body - statement of labor - energy theorem - mention of expression for mechanical energy of a spring - statement and rationalization of law of conservation of energy - illustration within the case of a body slippy down on an simple machine - discussion of special case = 90o for a freely falling body - rationalization of conservative and non conservative forces with examples - rationalization of elastic and inflexible collisions with examples - constant of restitution - issues.
Gravitation: Statement and rationalization of law of gravitation - definition of G - derivation of relation between g and G - mention of expression for variation of g with altitude, depth and latitude - statement and rationalization of Kepler’s laws of planetary motion - definition of orbital speed and speed and mention of their expressions - satellites - basic ideas of geo-stationary satellites, launching of satellites - authority and communication satellites - temporary rationalization of mass and mass - weight - remote sensing and necessities of area communication - issues.
Concurrent Co-planar forces: Definition of resultant and equilibrant - statement of law of quadrangle of forces - derivation of expression for magnitude and direction of 2 simultaneous planar forces - law of triangle of forces and its converse - Lami’s theorem - issues.
HEAT
Gas laws: Statement and rationalization of Boyle’s law and Charle’s law - definition of Pressure and Volume constant of a gas - temperature - Kelvin scale of temperature - mention of gas equation - rationalization of equal and adiabatic changes - mention of Van-der-Waal’s equation of state for real gases.
Mode of warmth transfer: conductivity of warmth - steady state - gradient - definition of constant of thermal physical phenomenon - basic ideas of convection of warmth - radiation - properties of thermal radiation - energy - definition of emissivity and absorption factor - excellent black body - statement and rationalization of Kirchhoff’s law. Newton’s law of cooling - Stefan’s law - Wien’s displacement and Planck’s law - qualitative rationalization of rate and surface temperature of sun - principle and dealing of total pyrometer - issues.
GEOMETRICAL OPTICS
Waves: Waves around North American nation - temporary note on light-weight waves, sound waves, radio waves, small waves, seismal waves - wave as a carrier of energy - classification of waves. (i) supported medium - mechanical and magnetic force waves (ii) supported vibration of particles within the medium - Longitudinal & thwartwise waves - one, 2 & 3 dimensional waves with example - definition of wave amplitude, wave frequency, wave amount, wavelength and wave speed - idea to determine the relation between path of section of a wave - derivation v=f distinction and section distinction - definition of a progressive wave - and its characteristics - derivation of equation of a progressive wave - totally different varieties of a progressive differential equation - definition of wave intensity - mention of expression of wave intensity and its unit - statement and rationalization of principles of superposition of waves with examples - issues.
Sound: Properties of sound - speed of sound in a very gas - rationalization of Newton’s formula for speed of sound - correction by Laplace|Pierre Simon de Laplace|mathematician|astronomer|uranologist|stargazer} - Newton - Laplace formula - discussion of things poignant speed i.e. pressure, temperature, wetness and wind - definition of sound intensity - rationalization of loudness and its unit - definition of magnitude and its unit - mention of relation between intensity and loudness - distinction between noise and musical notation - characteristics of a musical notation - development of beats and its theory - application of beats (i) to seek out the frequency of a note (ii) to tune the musical instruments -Doppler impact - derivation of expression for apparent frequency generally case and discussion to special cases - qualitative comparison of Doppler effect in sound and lightweight - issues.
Refraction at a plane surface: Refraction through a parallel sided glass block - derivation of expressions for lateral shift and traditional shift (object in a very denser medium) - total internal reflection and its applications -optical fibers and its application in communication - issues.
Refraction through a prism: Derivation of expression for the ratio in terms of A and D -dispersion through a prism - experimental - arrangement for pure spectrum - deviation created by a skinny prism - dispersive power - mention of condition for dispersion while not deviation - issues.
Refraction at a spherical surface: Derivation of the relation - connecting n,u,v and r for refraction at a spherical surface (concave towards some extent object in a very denser medium) derivation of lens maker’s formula -power of a lens - magnification - derivation of expression for the equivalent distance of combination of 2 skinny lenses in-tuned - mention of expression for equivalent distance of 2 skinny lenses separated by a distance - issues.
PHYSICAL OPTICS
Introduction to Theories of Light: a short rationalization of Newton’s scientific theory, Huygen’s undulatory theory and Maxwell’s magnetic force theory - mention of expression for o, qualitative rationalization of Hertz’s experiment – temporary eomÖspeed of sunshine C=1/ rationalization of Planck’s scientific theory of radiation -dual nature of sunshine.
Interference: rationalization of the development theory of interference - derivation of conditions for constructive and harmful interference.
Young’s double slit experiment, derivation of expression for fringe breadth - qualitative rationalization of interference at skinny films and Newton’s rings - issues.
Diffraction: rationalization of the development - distinction between physicist and Fraunhoffer optical phenomenon -qualitative rationalization of optical phenomenon at single slit and analysis of optical phenomenon pattern (Fraunhoffer type) -qualitative rationalization of plane grating at traditional incidence - limit of resolution - resolution - Rayleigh’s criterion - definition and mention of expression for resolution powers of magnifier and telescope - issues.
Polarisation: rationalization of the development - illustration of polarized and unpolarised light-weight -explanation of plane of polarization and plane of vibration - ways of manufacturing plane polarized light-weight : by reflection - Brewster’s law, refraction, refraction, selective absorption - construction and application of polaroids - optical activity - specific turn power - construction and dealing of Laurent’s [*fr1] shade optical device - mention of circularly and elliptically polarized light-weight - issues.
Speed {of light-weight|of sunshine}: Michelson’s rotating mirror experiment to work out of sunshine - importance of speed of light.
ELECTROSTATICS
Electric charges: idea of charge - Coulomb’s law, absolute and relative permittivity - SI unit of charge.
Electrostatic Field: idea of electrical field - definition of intensity level - derivation of expression for the sphere owing to AN isolated modification, idea of dipole - mention of expression for the sphere owing to a dipole -definition of moment - mention of expression for force on a dipole - rationalization of polarization of a nonconductor medium - nonconductor strength - idea of lines of force ANd their characteristics - rationalization electrical|of electrical} flux - statement and rationalization of Gauss theorem and its applications to derive expressions for electric intensity (a) close to the surface of a charged conductor (b) close to a spherical conductor - idea of electrical potential - derivation of the relation between field and potential - derivation of expression for potential owing to an isolated charge - rationalization of mechanical energy of a system of charges - issues.
Capacitors: rationalization of capability of a conductor and factors on that it depends - definition of capacitance and its unit - derivation of expression for capability of a spherical conductor - principle of a electrical condenser - derivation of expression for capacitance of parallel plate electrical condenser - mention of expression for capacitance of spherical and cylindrical electrical condensers - derivation of expression for energy keep in a very capacitor - derivation of expression for equivalent capacitance of capacitors nonparallel and parallel - mention of uses of capacitors - issues.
3. Manipal UGET 2014 test program - arithmetic
MATHEMATICS - I
ALGEBRA
PARTIAL FRACTIONS
Rational functions, correct and improper fractions, reduction of improper fractions as a add of a polynomial and a correct fraction.
Rules of resolution a rational perform into partial fractions within which divisor contains
(i) Linear distinct factors, (ii) Linear perennial factors, (iii) Non perennial non factorizable quadratic factors [problems restricted to analysis of 3 constants].
LOGARITHMS
(i) Definition Of log
(ii) Indices resulting in logarithms and the other way around
(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 exponent tables,problems theorem
MATHEMATICAL INDUCTION
(i) Recapitulation of the ordinal terms of AN AP and a medico that square measure needed to seek out the final 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 issues on mathematical induction
SUMMATION OF FINITE SERIES
(i) Summation of series victimization ∑n, ∑n2, ∑n3
(ii) Arithmetico-Geometric series
(iii) technique of variations (when variations of sequential terms square measure in AP)
(iv) By partial fractions
THEORY OF EQUATIONS
(i) basic THEOREM OF ALGEBRA: AN ordinal degree equation has n roots(without proof)
(ii) answer of the equation x2 +1=0.Introducing sq. roots, cube roots and fourth roots of unity
(iii) three-dimensional and biquadratic equations, relations between the roots and also the co-efficients. Solutions of three-dimensional and biquadratic equations given bound conditions
(iv) idea of artificial division (without proof) and issues. answer of equations by finding AN integral root between - three and +3 by examination and so victimization artificial division.
Irrational and sophisticated roots occur in conjugate pairs (without proof). issues supported this lead to determination three-dimensional 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 theorem for a positive integral index by induction. issues to seek out the center term(s), terms freelance of x and term containing an exact power of x.
(2) Binomial co-efficient - Proofs of
(a) C zero + C one + C a pair of + …………………..+ C n = a pair of n
(b) C zero + C a pair of + C four + …………………..= C one+ C three + C five + ………2 n - 1
MATHEMATICAL LOGIC
Proposition and truth values, connectives, their truth tables, inverse, converse, contrapositive of a proposition, Tautology and contradiction, Logical Equivalence - commonplace theorems, Examples from switch circuits, Truth tables, problems.
check here Manipal UGET 2014 Seats Reservation.