# UPSEE 2020 B.Tech. Admission - UPSEE Paper 1 Syllabus

The Uttar Pradesh State Entrance Examination is conducted for admission to the first year of various Undergraduate level programmes offered by different colleges under Dr. APJ Abdul Kalam Technical University, Lucknow. The exam is conducted for **eight papers** and the UPSEE syllabus for each paper is different. Here in this article, we will be listing the **UPSEE Paper-1 syllabus** which is conducted for admission to B.Tech./ B.Tech. (Agriculture Engineering/ MCA(Integrated)/M.Tech. (Dual Degree)/ B.Tech. (Bio-Technology)/ B.Pharm.

The paper comprises of 150 objective type questions of 600 marks from Physics, Chemistry, and Mathematics.

Type of Questions - Objective Type Number of Questions - 150 (50 in each section) Total Marks - 600 Sections - Physics, Chemistry, and Mathematics Exam Duration - 3 Hours |

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## UPSEE Paper-1 Syllabus

As mentioned above, Paper-1 syllabus comprises of 3 sections:

- Physics
- Chemistry
- Mathematics

Here is the syllabus for all three -

### Section A - Physics

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

**Laws of Motion:** Force and inertia, Newton's laws of motion, and their significance.

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

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

**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, work-energy theorem, gravitational energy, 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 dimensions, rocket propulsion.

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

**Gravitation:** Gravitational field, Kepler's 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.

**Mechanics of solids and fluids:** States of matter young's modulus, shear modulus of rigidity, bulk modulus, Buoyant Forces and Archimedes principle, variations of pressure with depth, Pascal's law, Bernoulli's theorem and its application, surface tension, surface energy, angle of contact, capillary rise, viscous force, coefficient of viscosity, terminal velocity, streamline motion, Stoke's law, Reynold's 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, efficiency of a Carnot engine, concept of entropy and concept of absolute scale, thermal conductivity, Newton's law of cooling, black body radiation, Stefan's law, Wien's displacement law.

**Wave:** Wave motion, phase, amplitude and velocity of the wave, Newton's formula for longitudinal waves, propagation of sound waves in air, the effect of temperature and pressure on velocity of sound, Principle of superposition, Laplace's correction, formation of standing waves, standing waves in strings and pipes, beats, Doppler's effect.

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

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

**Magnetic Effect of Current:** Magnetic field due to current, magnetic field due to solenoid, Biot-Savart's law, motion of charge in a magnetic field, magnetic flux, force on a current carrying conductors and torque on a current loop in a magnetic field, forces between two parallel current carrying conductors, moving coil galvanometer and its conversion into ammeter and voltmeter.

**Magnetism in Matter:** The magnetization of substance due to orbital and spin motions of electrons, diamagnetism, magnetic moment of atoms, ferromagnetism, paramagnetism, earth's magnetic field and its components and their measurement.

**Electromagnetic induction: **Induced Emf., Lenz's law, Faraday's law, electromagnetic induction, B-H curve, self and mutual induction, hysteresis loss and its importance, eddy currents.

**Ray Optics and optical instruments:** Sources of light, wave nature of light, luminous intensity, luminous flux, illuminance, photometry, reflection of light , Huygen's theory for propagation of light and rectilinear propagation of light, total internal reflection, reflection and refraction at spherical surfaces, spherical and chromatic aberration and their removal, focal length of a combination of lenses, refraction and dispersion of light due to a prism, reflecting and refracting telescope, simple and compound microscope, magnifying power and resolving power.

**Wave Optics:** Coherent and incoherent sources of light, interference, young's double slit experiment diffraction due to a single slit, linearly polarized light, Polaroid.

**Modern Physics:** Photo-electric equation, quantization, matter waves, Bohr's model of hydrogen atom and its spectra, Planck's hypothesis, ionization potential, solar spectrum and Fraunhofer lines, Rydberg constant, fluorescence and phosphorescence, X-Rays and their productions, characteristic and continuous spectra. Nuclear Instability, radioactive decay laws, Emission of ????, ???? and ???? rays, Mass - defect, Mass Energy equivalence, Nuclear Fusion, Nuclear Fission Nuclear Reactors. Classification of conductors, Insulators and semiconductors on the basis of energy bands in solids, PN Diode, PN junction, Transistor as an amplifier and Oscillator, junction Transistors. Principles of Logic Gates ( AND, OR and NOT ) Analog Vs Digital communication, Principle of LASER and MASER, Difference between Radio and television, Signal propagation, Population Inversion, Spontaneous and Stimulated Emission.

### Section B - Chemistry

**Atomic Structure: **Bohr's concept. Quantum numbers, Electronic configuration, molecular orbital theory for homo-nuclear molecules, Pauli's 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 Chatelier's principle, ionic equilibrium, Ostwald's dilution law, hydrolysis, pH and buffer solutions, 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, Mohr's 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, Hess's law.

**General Organic Chemistry: **Shape of organic compounds, Inductive effect, mesomeric effect, electrophiles & nucleophiles, Reaction intermediates: carbonium ions, 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-Morgan's Law, Equivalence relations, Mapping Inverse relations, Peano's axioms, Definition of rationals and integers through equivalence relation, Indices and surds, A.P., G.P. and H.P., Solutions of simultaneous and quadratic equations, 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, Inverse of a matrix, Algebra of matrices, 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, Complex numbers and their properties, Inverse function, Cube roots of unity, De-Moivre's theorem.

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

**Calculus:** Limits & continuity of functions, tangents & normal, Differentiation of function of function, Simple examples of Maxima & Minima, Integration of function by parts, by substitution and by partial fraction, Indeterminate forms, 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, Projectiles, Motion under gravity, 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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