# KUK Entrance Syllabus 2013

**KUK 2013 Entrance Exam Syllabus**

## KUK Physics Syllabus

**KUK 2013 Physics Syllabus**

**Syllabus for Entrance Test of B. Pharmacy 4 – Year :**

**Part – I : Physics ( 1 – 30 Questions ) – 30 Marks**

**Introduction**

What is Physics? Scope an excitement. Physics in relation to science study and technology.

**Physical word & Measurement**

Unit for measurement, fundamental and derived units, dimensions, order of magnitude, accuracy and errors in measurement.

**Description of Motion in One Dimension**

Objects in motion, motion in one dimension. Motion in a straight line, uniform motion, its graphical representation and formulae. General relation between position and velocity, application to uniformly accelerated motion, acceleration in general, one – dimensional motion.

**Description of Motion in Two and Three Dimensions**

Vectors in two dimensions, general vectors, vectors and scalars, vector addition and multiplication by a real number, zero vector and its properties. Resolution of a vector in a plane, rectangular components. Motion in two dimensions, cases of uniform velocity and uniform acceleration for motion in a plane, uniform circular motion, motion of objects in three – dimensional space.

**Laws of Motion**

Force and inertia. First law of motion. Second law of motion. Impulse, Kinds of forces in nature. Third law of motion, conservation of momentum, rocket propulsion, equilibrium of concurrent forces. Static and Kinetic friction, laws of friction, rolling friction, lubrication, inertial and non – inertial frames.

**Work, Energy and Power**

Scalar product of vectors, work done by a constant and a variable force, unit of work, kinetic energy, power. Elastic collisions, Potential energy of a mass. Different forms of energy, mass – energy equivalence, conservation of energy.

**Rotational Motion**

Inter – dependence of Newton’s law of motion, centre of mass of a rigid body, general motion of a rigid body, nature of rotational motion. Plane ( rotational ) motion of a single particle, torque, angular momentum and its geometrical and physical meaning, conservation of angular momentum, examples of circular motion ( car on a level circular road, car on a banked road ), pendulum, comparison of linear and rotational motions, properties of moment of inertia, parallel axis theorem, examples of two dimensional rigid body motion ( mass point on sting wound on cylinder, cylinder rolling without slipping ).

**Gravitation**

Acceleration due to gravity, one – dimensional motion under gravity, two dimensional motion under gravity, universal law of gravitation, the gravitational constant, mass of earth, inertia and gravitational mass, variations in the acceleration due to gravity of the earth, geo – stationary satellites, gravitational potential, escape velocity.

**Molecules**

Atomic hypothesis, Brownian motion, Avogadro’s number and Avogadro’s hypothesis. Inter – atomic and inter – molecular forces. States of matter. Properties of Matter

**Solids :**Crystalline and glassy solids, Hooke’s Law Young’s modulus, stress vs. strain, bulk modulus, pure sheer, Friction and lubrication.

**Fluids :**Surface energy and surface tension, capillary rise, viscosity, streamline flow, Reynold’s number. Bernoulli’s theorem.

**Gases :**Boyle’s law, Charle’s law and absolute temperature. Kinetic theory of gases. Pressure, kinetic energy and temperature, gas laws and Avogadro’s number.

**Heat and Thermodynamics**

Mechanical equivalent of heat, specific heat, calorimeter, first law of thermodynamics, thermodynamic states, equation of state and isothermals, pressure – temperature phase diagram, thermodynamics processes, heat engines, second law of thermodynamics, efficiency of heat engines. Conduction, convection and radiation.

**Oscillations**

Simple harmonic motion ( S.H.M. ), uniform circular motion. Kinetic energy and potential energy in S.H.M., simple pendulum, forces oscillations, resonances and damped oscillations.

**Waves**

Wave motion, speed of wave motion, principles of superposition, reflection of waves, harmonic waves, standing waves, and normal modes, beats, Doppler effect, musical scale, acoustics of buildings.

**Electrostatics**

Frictional electricity, charges, conservation of charges, elementary unit, Coulomb’s law, dielectric constant, electric field due to a point charge, dipole, dipole field and dipole’s behavior in and electric field, flux, conductors and insulators, presence of free charges and bound charges inside a conductor, Capacitance ( parallel plate, spherical, cylindrical ), series and parallel, energy of capacitor, Van de Graff generator, atmospheric electricity.

**Current Electricity**

Electric current, resistance of different materials, temperature dependence , resistivity, colour code for carbon resistances ohm’s law, Kirchoff’s law, resistance in series and parallel circuits, wheatstone’s bridge, measurement of voltages and currents, potentiometer, concept of e.m.f., terminal voltage and internal resistance of a cell.

**Thermal and Chemical Effects of Currents**

Electric power, Heating effects of current, chemical effects and law of electrolysis, cells ( primary and secondary ), thermoelectricity, thermocouple.

**Magnetic Effects of Currents**

Oersted’s observation, Biot – Savart law ( magnetic field due to current element ),magnetic field due to a straight wire, circular loop and solenoid, force on a moving charge in a magnetic field ( Lorentz force ), cyclotron, forces and torques on current in a magnetic field, force between two currents, definition of Ampere, Moving coil galvanometer and conversion into ammeter and voltameter.

**Magnetism**

Bar magnet ( comparison with a solenoid ), line of force, torque on a bar magnet in a magnetic field, Earth’s magnetic fields, tangent galvanometer, vibration magnetometer, para, dia and ferromagnetism.

**Electromagnetic Induction and Alternating Currents**

Induced e.m.f. Faraday’s law, Lenz’s law, e.m. induction, self and mutual inductance, alternation currents, impedance and reactance, power in a.c. circuits with L,C& R; series and parallel resonant circuits, electrical machines and devices, transformer, a.c. generator, choke and starter.

**Electromagnetic Waves**

Electromagnetic oscillation, history of e.m. waves ( Maxwell, Hertz Bose, Marconi ) electromagnetic spectrum ( radio, microwave, infrared, optical, ultraviolet, x – rays and gamma – rays ) including elementary facts about their uses and propagation properties in the atmosphere w.r.t. various parts of electromagnetic spectrum.

**Ray Optics and Optical Instruments**

Sources of light, Photometry, ray optics as a limiting case of wave optics, reflection, total internal reflection, curved mirrors, lenses, mirror and lens formulae, dispersion by a prism, spectrometer and spectra, absorption and emission, scattering, rainbow, magnification and resolving power, telescope microscope.

**Wave Optics**

Wave front and Huygen’s principle. Interference Young’s double slit experiment Diffraction due to a single slit, diffraction grating, polarization of transverse waves, application related to these phenomena.

**Electrons and Photons**

Electrical conduction of gases, discovery of electron, e / m for an electron, particle nature of light, Einstein’s photoelectric equation, photocells.

**Atoms, Molecules and Nucleus**

Rutherford model of atom, Bhor model, energy quantization, hydrogen spectrum, composition of nucleus, atomic masses, isotopes, size of nucleus, radioactivity, mass – energy relation, fission, fusion, nuclear holocaust.

**Solids and Semi – Conductor Devices**

Energy bands in solids, conductors, insulators and semi – conductors, p – n junction diodes, solar cells, junction transistor, diode as rectifier, transistor as amplifier and oscillator, logic gates and combination of gases.

**Universe**

The constituents of the universe, planets, elementary idea about determination of their distances and masses, stars, brightness, magnitude scale, luminosity, surface temperature, stellar spectra, energy source of stars.

## KUK Chemistry Syllabus

**KUK 2013 Chemistry Syllabus**

**Part – II : Chemistry ( 31 – 60 Questions ) – 30 Marks**

**Atomic Structure**

Dual nature of matter and radiation, de Broglie equation, uncertainty principle, orbitals and quantum numbers, shapes of s, p and d orbitals, electronic configuration, atoms, molecules, molecular orbital method.

**Periodic Properties of Elements**

Modern periodic law, periodic trends in properties ( atomic radii, ionization energy, electron affinity, electro negativity, valence ).

**Chemical Bonds and Molecules**

Chemical bonds ( ionic, covalent, coordinate ), hybridization, shapes of molecules ( VSEPER theory ), valence bond theory and molecular orbital theory of covalent bond, molecular orbital description of homo nuclear diatomic molecules, hydrogen bond resonance, metallic bond ( elementary treatment ).

**Solid State**

Structure of simple ionic compounds, close-packed structures, ionic radii, silicates ( elementary ideas ), imperfection in solids ( points defects only ), properties of solids, amorphous solids.

**Chemical Thermodynamics**

Energy changes during a chemical reaction, First law of Thermodynamics ( internal energy, enthalpy, applications of First law of Thermodynamics ), Second law of thermodynamics ( entropy, free energy ), spontaneity of a chemical reaction, free energy change and chemical equilibrium, free energy available for useful work. Third law of Thermodynamics.

**Chemical Equilibrium**

Law of mass action, chemical equilibrium, effects of changing the conditions of systems of equilibrium, ( change of concentration, pressure and temperature, Lechatelier principle ), ionization of electrolytes, weal and strong electrolytes, various concepts of acids and bases, ionization of water, pH, solubility product, numerical based on these concepts.

**Chemical Kinetics**

Rate of chemical reaction, rate expression, unit of rate, constant and specific rate constant, order of reaction ( first order reaction only ), concentration and temperature dependence of rate constant, fast reactions ( elementary idea ), mechanism of reactions ( elementary idea ), photochemical reactions ).

**Solutions**

Type of solutions, Raoult’s law, colligative properties of dilute solutions, calculation of molecular masses, electrolytic solution, abnormal molecular masses.

**Electro Chemistry**

Electrolysis, electrolytic conductance ( specific, equivalent and molar conductances ), voltagic, galvanic cell, electrode potential and electromotive force, Gibb’s free energy and cell potential, primary cells including fuel cell, corrosion.

**Surface and Catalysis**

Absorption, colloids, preparation and general properties, emulsion, micelles, homogeneous and heterogeneous catalysis, structure of catalysts and theories of catalysis.

**Nuclear Chemistry**

Nature of radiation from radioactive substances, nuclear structure and nuclear properties, nuclear reactions, radioactive disintegration series, artificial transmutation of elements, nuclear fission of fusion, isotopes and their uses, radio carbon dating, synthetic elements.

**Chemistry of Representative Elements**

The chemistry of s and p – block elements, electronic configuration, general characteristics, properties and oxidation states of the following :

Group 1 | Elements | Alkali metals |

Group 2 | Elements | Alkaline earth metals |

Group 13 | Elements | Boron family |

Group 14 | Elements | Carbon family |

Group 15 | Elements | Nitrogen family |

Group 16 | Elements | Oxygen family |

Group 17 | Elements | Halogen family; Hydrogen |

Group 18 | Elements | Noble gases |

**Transition Metals Including Lanthanides**

Definitions, electronic configuration and general characteristic properties, oxidation states of transition metals, general properties of First row transition metals and their compounds – oxides, halides and sulphides, General properties of second and third row transition elements ( Group – wise discussion ), Preparation and uses of potassium dichromate, potassium permanganate, Inner transition elements : oxidation states, lanthanide contraction.

**Coordinate Chemistry and Organo Metallics**

Coordination compounds – nomenclature, isomerism in coordination compounds, bounding in coordination compounds, stability of coordination compounds, applications of coordination compounds, compounds containing metal – carbon bonds, applications of organo metallic compounds.

**Chemistry of Carbon Compounds**

**Hydro Carbons**

a) Alkanes sp3 hybridization, sigma bond, tetrachedral structure, fees rotation about sigma bond chain isomerism.

b) Alkenes sp2 hybridization, carbon – carbon double bond, sigma and pi bonds, planar structure of ethylene, cistrans isomereism.

c) Alkenes sp hybridization, carbon – carbon triple bond, linear structure of acetylene.

d) Aerenes Delocalization of electrons in benezenes and resonance energy, orth, para and meta isomers.

e) Systematic nomenclature ( compounds having carbon atoms upto sis ).

f) Prospectus and reactions of hydrocarbons : change in physical properties with chain length, chemical properties, combustion and controlled oxidation, free radicals, halogenations, aromatization and cracking of alkanes. Properties of alkenes and alkynes, Markownikoff’s rule. Reactions of benzene ( mechanisms not required ).

g) Sources and synthesis of hydrocarbons : Refining of petroleum, reforming, octane number, pyrolysis of coal, common laboratory preparations of alkanes, alkenes and alkynes.

**Characterization of Organic Compounds**

Detection of elements, calculation of empirical and molecular formulae from weight percentage data of elements and molecular weight.

**Alkyland Aryl Halides**

Nomenclature, isomerism, optical isomerism, racemic mixture, general methods of preparation and properties of alkyl and aryl halides. A few important polyhalogen compounds – chloroform, carbon tetrachloride, DDT, benzene hexachloride.

**Compounds with Functional Groups Containing Oxygen**

Nomenclature, general methods of preparation and properties of ethers, aldehydes, ketones, carboxylic acids and their derivaties ( acyl halides, acid anhydrides, amides and esters ). Preparation, correlation of physical properties with their structures. Chemical properties and uses.

**Compounds with Functional Group Containing Nitrogen**

A brief description of chemistry of cyanides and isocynides, nitro compounds and amines and their methods of preparation, correlation of physical properties with structure, chemical reaction and uses.

**Polymers**

Classification of polymers, Natural and synthetic polymers, Preparation and uses of Teflon, PVC, Polystyrene, Nylon – 66, Terylene.

**Biomolecules**

Carbohydrates : Monosaccharides, Disaccharides, Polyaccharides Amino acides and Peptides – structure and classification, Proteins and Enzymes – structure of proteins, Role of enzymes, Nucleic Acids – DNA and RNA, Biological functions of Nucleic acids – Protein synthesis and replication. Lipids – structure, membranes and their functions.

**Chemistry of Biological Processes**

Carbohydrates and their metabolism : Haemoglobin, blood and respiration, Immune System, Vitamins and hormones, simple idea of Chemical evolution.

**Chemistry in Action**

Dyes, chemical in medicines, Rocket propellants.

## KUK Biology / Maths Syllabus

**KUK 2013 Biology Syllabus**

**Part – III : Biology ( Botany & Zoology ) ( 61 – 90 questions ) – 30 Marks i.e. 15 each**

Living World, Diversity of Life, Cell and Cell Division, Genetics and Morphology of Plants and Animals.

Physiology of plants, Physiology of animals, Reproduction, Development and Growth, Ecology and Environment and Biology in Human Welfare.** OR**

**KUK 2013 Mathematics Syllabus**

**Mathematics ( 61 – 90 questions ) – 30 Marks**

**Sets and Binary Operation**

Algebra of sets, Cartesian product of sets, Function, A binary operation defined in Set A as a function from A x A into A. Associatively and commutatively of binary operation. Inverse of an element in A.

**Complex Number**

Complex number of the form a+ib, representation of complex number in plane, Argand diagram, algebra of complex number, real and imaginary parts of complex number, modulus and argument of complex number, square root of complex number, cube root of unity, triangle inequality.

**Quadratic Equations**

Solutions of quadratic equation by factorization and formula methods, relation between roots and coefficients, formation of equation symmetric function of roots.

**Sequences and Series**

Nth term of A.P. sum of N terms of A.P., A.M. between two nos., nth terms of G.P., Sum of n terms of G.P., Sum of infinite terms of G.P., G.M., arithmetic – Geometric series.

**Statistics**

Barograph, Pie Chart, Median, Mean, Standard deviation. Mean deviation from mean and median.

**Permutations and Combinations**

Permutations as arrangement, meaning of simple and applications including circular permutation.

**Mathematical Induction and Binomiar Theorem**

Principal of Mathematical Induction with application, Statement and proof of binomial theorem for positive index. General and particular term of Binomial Theorem for any index. Applications to approximation, properties of Binomial coefficient.

**Exponential and Logarithms Series**

The infinite series fore : proof that e lies between 2 and 3, Infinite series for log ( 1+x ) and log ( 1+x ) / ( 1 – x ). Calculation of the logarithm of a number using suitable logarithmic series.

**Trigonometry**

Allied angles, sum and difference formulae, A – B, and C – D formulae, Trigonometric equations, conditional identities, Sine formula, Cosine formula, area of triangle, simple solution of triangle using formulae, height and distance, inverse trigonometric functions graphs, properties of Inverse trigonometric functions and their proofs.

**Co – ordinate Geometry**

Distance formula, section formula, area of triangle, condition of co – linearity, controid, In centre, locus parallel and perpendicular lines, formation of equation of straight lines in different forms. Intersection of two lines, condition for general second degree equation to represent two straight lines.

**Circles**

Equation of circle, parametric and diametric forms, point of intersection of a line and a circle, condition for a line to be tangent to a circle, equation and length of tangent to a circle form a point. Intersection of two circles, condition that two interesting circles are orthogonal.

**Conic Section**

Equation of conic section and point of tangency.

**Matrices and Determinates**

Matrix as a rectangular arrangement of numbers, type of matrices, Quality of matrices, Addition, Scalar multiplication and multiplication of matrices : Linear combination of matrices, non – commutatively and associatively of matrix notations, Determinant, Minors and cofactors of determinant, expansion of a determinant, properties and elementary transformation of determinates. Application of determinants in solution of equations and area of a triangle. Crammer’s rule, Adjoint and inverse of a matrix and its properties, Application of matrices in solving simultaneous equations in three variables.

**Vectors and Three Dimensional Geometry**

Vector and directed line segment, Magnitude and direction of a vector, Equal vectors. Unit vector, Zero vector. Position vector of a point. Components of a vector, Vector in two and three dimensions, Addition of vectors, Multiplication of a vector by a scalar, Position vector of a point dividing a given straight line in a given ratio, scalar ( dot ) product of the two vectors, cross product of the two vectors, scalar triple product, Applications of vectors in the use of establishment of various geometrical results, Work done=force x displacement, Moment of a force about a point, moment of a couple about a point, Proof of cosine rule. Angle in a semi – circle is a right angle.

Applications of vector product in finding area of a triangle as an area of a parallelogram as. Proof of sine rule. Applications of scalar triple product in finding volume of a parallelepiped, co planarity of vector using scalar triple product. Decomposition of a vector into three non – coplanar directions, as vectors in 3 – D direction ratios and direction cosines for any vector, angle between two vectors where d.c.’s are given.

Distance between two points, condition of the intersection of two lines, shortest distance between two lines, equation of a plane containing a given point and normal to a given direction, angle between two planes, angle between a line a plane. Distance of a point from the plane. Equation of any plane passing through the intersection of the two planes. Equation of a sphere in the form, Equation of sphere with the positions vectors as the extremities of a diameter in the form.

**Differential Calculus**

Concept of real function, its domain and range, graphs of functions. Composition of functions, meaning of Fundamental theorems of limits. Continuity of a function at a point, over an open / close interval, Properties of continuous function, Continuity of polynomial, trigonometric, exponential, logarithmic and inverse trigonometric functions.

Derivative of function, its geometrical and physical significance, relationship between continuity and differentiability. Derivatives of x,x”, sin x, cos x, tan x, theorems relation to the derivatives of the sum, difference, product and quotient of functions, derivative of a function ( chain rule ), derivative of trigonometric functions, inverse trigonometric functions, logarithmic functions and exponential functions, differentiation of implicit functions, logarithmic differentiation, derivatives of functions expressed in parametric form, derivatives of higher order.

Application of the derivative, motion in a straight line, motion under gravity, rate o change of quantities, increasing and decreasing functions and sign of the derivative, maxima and minima ( absolute, local ), Rolle’s theorem, mean value theorem, curve sketching, meaning of differential, errors and approximations.

**Integral Calculus**

Integration as the inverse of differentiation, indefinite integral or ant derivative, Properties of integrals, Fundamental integrals involving algebraic, trigonometric and exponential functions, integration by substitution, integration by parts.

**Definite Integral**

Definition of definite integral as the limit of a sum, fundamental theorem of calculus, evaluation of definite integrals, transformation of definite integrals by substitution, properties of definite integrals, evaluation of some definite integrals using the above properties. Definite integral and area bounded by a curve between two ordinates and x – axis, area between two curves.

**Differential Equations**

Differential equations, order and degree, formation of a differential equation, general and particular solution of a differential equation, solution of differential equation by the method of Variables Separable, Homogeneous equations and their solution, solution of the liner equation of first order with constant coefficients.

**Correlation and Regression**

Bi – variable frequency distributions as arising from observation of two variables on the same unit of observation. Marginal and conditional frequency distributions derived from a bi – variable frequency distribution. The concept of relationship between variables introduced as the dependence of conditional distribution on the values of the conditioning variable.

Distinction between relationship and functional relationship. Correlation analysis as the measurement of the strength of relationship between the quantitative variable and regression analysis as the method of predicting the values of one quantitative variable form those of the other quantitative variable. Definition and calculation of the correlation coefficient, positive and negative correlation, perfect correlation.

Use of the scatter diagram in interpreting the values of the correlation coefficient. Calculation of the regression coefficient and the two lines of regression by the method of least square. Use of the lines of regression for prediction, error of prediction and its relation with the coefficient correlation.

**Probability**

Random experiment and the associated sample space ( i.e. set of all outcomes ), events as subjects of the sample space, occurrence of an event. Sure event, impossible event, mutually exclusive event, elementary event, equally likely elementary events. Definition of probability of an event as the ratio of the number of favourable equally likely events to the total number of equally likely events. Addition rule for mutually exclusive events.

Combination of events through the operations ( and, ‘not’ and their set representation ). Probability of the events ‘A’ or ‘B’ ‘Not A’ conditional probability, Independent events, Independent experiments, Calculation of probabilities of events associated with independent experiments.

Random variable as a function on a sample space ( only randon variable taking finite number of the values be considered ). Distribution of random variable derived from the probabilities of events on the sample space on which the random variable is defined. Binomial Distribution : examples of different random experiments giving rise to random variable with the binomial distribution.

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