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**UPSEE 2020 BTech Engineering Scheme of Examination :**

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The UPSEE 2020 Engineering Entrance Test Question paper consists of objective multiple type questions.

**The ****UPSEE 2020 Engineering Entrance Test** **Question paper consists of Physics, Chemistry and Mathematics 50 objective type questions, each of Physics, Chemistry and Mathematics with a total of 150 questions and total of 600 Marks**

**Section A PHYSICS**

**Measurement :** Dimensional analysis and error estimation, dimensional compatibility and significant figures.

**Motion in one dimension :** Average velocity, instantaneous velocity, one-dimensional motion with constant accelerations, freely falling bodies.

**Laws of Motion :** Force and inertia, Newtons laws of motion, and their significance.

Motion in two dimensions : Projectile motion, uniform circular motion, tangential and radial acceleration in curve-linear motion, relative motion and relative acceleration.

**Work, Power and Energy :** Work done by a constant and variable forces, kinetic and potential energy, power, Conservative and non-conservative forces, conservation of energy, gravitational energy, work energy theorem, potential energy stored in a spring.

**Linear Momentum & collisions :** Linear momentum & impulse, conservation of linear momentum for two particle system, collisions, collision in one dimension, collision in two dimension, rocket propulsion.

**Rotation of a rigid body about a fixed axis : **Angular velocity and angular acceleration, rotational kinematics, rotational motion with constant angular acceleration relationship between angular and linear quantities, rotational energy, moment of inertia for a ring, rod, spherical shell, sphere and plane lamina, torque and angular acceleration, work and energy in rotational motion, rolling motion of a solid sphere and cylinder.

**Gravitation :** Gravitational field, Keplers laws and motion of planets, planetary and satellite motion, geostationary satellite.

**Oscillatory motion :** Harmonic motion, oscillatory motion of mass attached to a spring, kinetic & potential energy, Time Period of a simple pendulum, comparing simple and harmonic motion with uniform circular motion, forced oscillations, damped oscillations and resonance.

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**Mechanics of solids and fluids :** States of matter youngs modulus, bulk modulus, shear modulus of rigidity, variations of pressure with depth, Buoyant forces and Archimedes principle, Pascals law, Bernoullis theorem and its application, surface energy, surface tension, angle of contact, capillary rise, coefficient of viscosity, viscous force, terminal velocity, Stokes law, stream line motion, Reynolds numbers.

**Heat and thermodynamics :** First law of thermodynamics, specific heat of an ideal gas at constant volume and constant pressure, relation between them, thermodynamics process (reversible, irreversible, isothermal, adiabatic), second law of thermodynamics, concept of entropy and concept of absolute scale, efficiency of a Carnot engine, thermal conductivity, Newtons law of cooling, black body radiation, Wiens displacement law, Stefans law.

**Wave :** Wave motion, phase, amplitude and velocity of wave, Newtons formula for longitudinal waves, propagation of sound waves in air, effect of temperature and pressure on velocity of sound, Laplaces correction, Principle of superposition, formation of standing waves, standing waves in strings and pipes, beats, Dopplers effect.

**Electrostatics :** Coulombs law, electric field and potential due to point charge, dipole and its field along the axis and perpendicular to axis, electric flux, Gausss theorem and its applications to find the field due to infinite sheet of charge, and inside the hallow conducting sphere, capacitance, parallel plate capacitor with air and dielectric medium between the Plates, series and parallel combination of capacitors, energy of a capacitor, displacement currents.

**Current Electricity :** Concept of free and bound electrons, drift velocity and mobility, electric current, Ohms law, resistivity, conductivity, temperature dependency of resistance, resistance in series and parallel combination, Kirchhoffs law and their application to network of resistances, principle of potentiometer, effect of temperature on resistance and its application.

Nuclear Instability, radioactive decay laws, Emission of Alpha, Beta and Gamma Rays, Mass - defect, Mass Energy equivalence, Nuclear Fission, Nuclear Reactors, Nuclear Fusion. Classification of conductors, Insulators and semiconductors on the basis of energy bands in solids, PN junction, PN Diode, junction Transistors, Transistor as an amplifier and Oscillator.

Principles of Logic Gates ( AND, OR and NOT ) Analog Vs Digital communication, Difference between Radio and television, Signal propagation, Principle of LASER and MASER, Population Inversion, Spontaneous and stimulated Emission

**Section B CHEMISTRY**

**Atomic Structure :** Bohrs concept. Quantum numbers, Electronic configuration, molecular orbital theory for homo-nuclear molecules, Paulis exclusion principle.

**Chemical Bonding :** Electrovalency, co-valency, hybridization involving s, p and d orbitals hydrogen bonding.

**Redox Reactions :** Oxidation number, oxidising and reducing agents, balancing of equations.

**Chemical Equilibrium and Kinetics :** Equilibrium constant (for gaseous system only) Le Chateliers principle, ionic equilibrium, Ostwalds dilution law, hydrolysis, pH and buffer solution, solubility product, common-ion effect, rate constant and first order reaction

**Acid-Base Concepts :** Bronsted Lowry & Lewis.

**Electrochemistry :** Electrode potential and electro-chemical series.

**Catalysis :** Types and applications.

**Colloids : **Types and preparation, Brownian movement, Tyndall effect, coagulation and peptization.

**Colligative Properties of Solution :** Lowering of vapor pressure, Osmotic pressure, depression of freezing point, elevation of boiling point, determination of molecular weight.

**Periodic Table :** Classification of elements on the basis of electronic configuration, properties of s,p and d block elements, ionization potential, electronegativity & electron affinity.

**Preparation and Properties of the following : **Hydrogen peroxide. copper sulfate, silver nitrate, plaster of paris, borax, Mohrs salt, alums, white and red lead, microcosmic salt and bleaching powder, sodium thiosulfate.

**Thermo-chemistry :** Exothermic & endothermic reactions Heat of reaction, Heat of combustion & formation, neutralization, Hesss law.

**General Organic Chemistry :** Shape of organic compounds, Inductive effect, mesomeric effect, electrophiles & nucleophiles, Reaction intermediates: carbonium ion, carbanions & free radical, Types of organic reactions, Cannizzaro Friedel Craft, Perkin, Aldol condensation.

**Isomerism :** Structural, Geometrical & Optical IUPAC : Nomenclature of simple organic compounds.

**Polymers :** Addition & condensation polymers Carbohydrates: Monosaccharides.

**Preparation and Properties Of the Followings :** Hydrocarbons, monohydric alcohols, aldehydes, ketones, monocarboxylic acids, primary amines, benzene, nitrobenzene, aniline, phenol, benzaldehyde, benzoic acid, Grignard Reagent.

**Solid State :** Structure of simple ionic compounds, Crystal imperfections (point defects only), Born-Haber cycle

**Petroleum :** Important industrial fractions, cracking, octane number, anti-knocking compounds.

**Section C MATHEMATICS**

**Algebra :** Sets relations & functions, De-Morgans Law, Mapping Inverse relations, Equivalence relations, Peanos axioms, Definition of rationals and integers through equivalence relation, Indices and surds, Solutions of simultaneous and quadratic equations, A.P., G.P. and H.P., Special sums i.e. ∑n2 and ∑n3(n∑N ), Partial fraction, Binomial theorem for any index, exponential series, Logarithm and Logarithmic series. Determinants and their use in solving simultaneous linear equations, Matrices, Algebra of matrices, Inverse of a matrix, Use of matrix for solving equations.

**Probability :** Definition, Dependent and independent events, Numerical problem on addition and multiplication, theorem of probability.

**Trigonometry :** Identities, Trigonometric equations, properties of triangles, solution of triangles, heights and distances, Inverse function, Complex numbers and their properties, Cube roots of unity, De-Moivres theorem.

**Co-ordinate Geometry :** Pair of straight lines, Circles, General equation of second degree, parabola, ellipse and hyperbola, tracing of conics.

**Calculus :** Limits & continuity of functions, Differentiation of function of function, tangents & normal, Simple examples of Maxima & Minima, Indeterminate forms, Integration of function by parts, by substitution and by partial fraction, definite integral, application to volumes and surfaces of frustums of sphere, cone and cylinder. Differential equations of first order and of first degree.

**Vectors :** Algebra of vectors, scalar and vector products of two and three vectors and their applications.

**Dynamics : **Velocity, composition of velocity, relative velocity, acceleration, composition of accelerations, Motion under gravity, Projectiles, Laws of motion, Principles of conservation of momentum and energy, direct impact of smooth bodies.

**Statics :** Composition of coplanar, concurrent and parallel forces moments and couples resultant of set of coplanar forces and condition of equilibrium, determination of centroid in simple cases, Problems involving friction.

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