# AMUEEE - 2024

**AMUEEE - Aligarh Muslim University Engineering Entrance Examination**

**Eligibility**

All candidates who have cleared Class XII with at least 50% aggregate marks in the following subjects fulfil AMUEEE eligibility criteria 2024 for BTech and BArch admissions. All candidates who hold a diploma in Engineering with a minimum of 50% aggregate marks meet the eligibility criteria for the AMUEEE exam.

**Syllabus**

**Physical World and
Measurement**

Physics-scope and excitement, nature of physical laws; Physics, technology and society. Need for measurement: Units of measurement; systems of units; SI units, fundamental and derived units. Length, mass and time measurements; accuracy and precision of measuring instruments, errors in measurement; significant figures. Dimensions of physical quantities, dimensional analysis and its applications.

**Kinematics **

Frame of reference. Motion in a straight line: Position-time graph, speed and velocity. Uniform and non-uniform motion, average speed and instantaneous velocity. Uniformly accelerated motion, velocity-time, position-time graphs, relations for uniformly accelerated motion (graphical treatment). Elementary concepts of differentiation and integration for describing motion. Scalar and vector quantities: Position and displacement vectors, general vectors and notation, equality of vectors, multiplication of vectors by a real number; addition and subtraction of vectors. Relative velocity. Unit vector; Resolution of a vector in a plane-rectangular components. Motion in a plane. Cases of uniform velocity and uniform accelerationprojectile motion. Uniform circular motion.

**Laws of Motion**

Intuitive concepts of force. Inertia, Newton’s first law of motion; momentum and Newton’s second law of motion; impulse; Newton’s third law of motion. Law of conservation of linear momentum and its applications. Equilibrium of concurrent forces. Static and kinetic friction, laws of friction, rolling friction. Lubrication, Dynamics of uniform circular motion: Centripetal force, examples of circular motion (vehicle on level circular road, vehicle on banked road).

**Work, Energy and Power**

Scalar product of vectors. Work done by a constant force and a variable force; kinetic energy, work-energy theorem, power. Notion of potential energy, potential energy of a spring, conservative forces: conservation of mechanical energy (kinetic and potential energies); non-conservative forces: elastic and inelastic collisions in one and two dimensions.

**Motion of System of
Particles and Rigid Body **

Centre of mass of a two-particle system, momentum conversation and centre of mass motion. Centre of mass of a rigid body; centre of mass of uniform rod. Vector product of vectors; moment of a force, torque, angular momentum, conservation of angular momentum with some examples. Equilibrium of rigid bodies, rigid body rotation and equations of rotational motion. Comparison of linear and rotational motions; moment of inertia, radius of gyration. Values of moments of inertia for simple geometrical objects (no derivation). Statement of parallel and perpendicular axes theorems and their applications.

**Gravitation**

Keplar’s laws of planetary motion. The universal law of gravitation. Acceleration due to gravity and its variation with altitude and depth. Gravitational potential energy; gravitational potential. Escape velocity. Orbital velocity of a satellite. Geo-stationary satellites.

** **

** ****Properties of Bulk
Matter **

** ** Elastic behaviour,
Stress-strain relationship, Hooke’s law, Young’s modulus, bulk modulus, shear,
modulus of rigidity. Pressure due to a fluid column; Pascal’s law and its
applications (hydraulic lift and hydraulic brakes). Effect of gravity on fluid
pressure. Viscosity, Stokes’ law, terminal velocity, streamline and turbulent
flow. Bernoulli’s theorem and its applications. Surface energy and surface
tension, angle of contact, application of surface tension ideas to drops,
bubbles and capillary rise. Heat, temperature, thermal expansion; change of
state-latent heat. Heat transferconduction, convection and radiation, thermal
conductivity.

**Thermodynamics **

Thermal equilibrium and definition of temperature (zeroth law of thermodynamics). Heat, work and internal energy. First law of thermodynamics. Isothermal & adiabatic process. Second law of thermodynamics: reversible and irreversible processes. Heat engines and refrigerators.

**Behaviour of Perfect
Gas and Kinetic Theory **

Equation of state of perfect gas, work done on compressing a gas. Kinetic theory of gases-assumptions, concept of pressure. Kinetic Interpretation of temperature; rms speed of gas molecules; degrees of freedom, law of equipartition of energy (statement only) and application to specific heats of gases; concept of mean free path, Avogadro’s number.

**Oscillations and Waves**

Periodic motion-period, frequency, displacement as a function of time. Periodic functions. Simple harmonic motion (S.H.M) and its equation; oscillations of a springrestoring force and force constant; energy in S.H.M.-kinetic and potential energies; simple pendulum-derivation of expression for its time period; free, forced and damped oscillations (qualitative ideas only), resonance. Wave motion. Longitudinal and transverse waves, speed of wave motion. Displacement relation for a progressive wave. Principle of superposition of waves, reflection of waves, standing waves in strings and organ pipes, fundamental mode and harmonics, Beats, Doppler effect.

**Electrostatics**

Electric charges, Conservation of charge, Coulomb’s low-force between two point charges forces between multiple charges, superposition principle and continuous charge distribution. Electric field, electric field due to a point charge, electric field lines; electric dipole electric field due to a dipole torque on a dipole in uniform electric field. Electric flux, statement of gauss’s theorem and its applications to find field due to infinitely long straight wire uniformly charges infinite plane sheet and uniformly charged thin spherical shell (field inside and outside). Electric potential, potential difference, electric potential due to a point charge, a dipole and system of charge; equipotential surfaces, electrical potential energy of a system of two point charges and of electric dipole in an electrostatic field. Conductors and insulators, free charges and bound charges inside a conductor. Dielectrics and electric polarization, capacitors and capacitance, combination of capacitors in series and in parallel, capacitance of a parallel plate capacitor with and without dielectric medium between the plates, energy stored in a capacitor.

**Current Electricity **

Electric current flow of electric chargers in a metallic conductor drift velocity, mobility and their relation with electric current; Ohm’s Law electrical resistance, V-I characteristics (linear and non-linear), electrical energy and power, electrical resistivity and conductivity. Carbon resistors colour code for carbon resistors; series and parallel combinations of resistors; temperature dependence of resistance. Internal resistance of a cell, potential difference and emf of a cell combination of cells in series and in parallel. Kirchhoff’s laws and simple applications. Wheatstone bridge and metre bridge. Potentiometer – principle and its applications to measure potential difference and for comparing emf of two cells; measurement of internal resistance of a cell.

**Magnetic Effects of
Current and Magnetism **

Concept of magnetic field, Oersted’s experiment. Biot-Savart law and its application to current carrying circular loop. Ampere’s law and its applications to infinitely long straight wire, straight and toroidal solenoids. Force on a moving charge in uniform magnetic and electric fields. Cyclotron. Force on a current – carrying conductor in a uniform magnetic field. Force between two parallel current – carrying conductors – definition of ampere. Torque experienced by a current loop in uniform magnetic field; moving coil galvanometer – its current sensitivity and conversion to ammeter and voltmeter. Current loop as a magnetic dipole and its magnetic dipole moment. Magnetic dipole, moment of a revolving electron, magnetic field intensity due to a magnetic dipole (bar magnet) along its axis and perpendicular to its axis. Torque on magnetic dipole (bar magnet) in a uniform magnetic field; bar magnet as an equivalent solenoid magnetic field line; Earth’s magnetic field and magnetic elements para – dia – and ferro – magnetic substances, with examples. Electromagnets and factors of affecting their strengths. Permanent magnets.

**Electromagnetic
Induction and Alternating Currents **

Electromagnetic Induction; Faraday’s law. Induced emf and current; Lenz’s law, Eddy current self and mutual induction. Alternating currents, peak and rms value of alternating; current/voltage, reactance and impedance; LC oscillations (qualitative treatment only), LCR series circuit, resonance; power in ac circuits wattles current. AC generator and transforme

**Electromagnetic Waves **

Displacement current, Electromagnetic wave and their characteristics (qualitative ideas only) Transverse nature of electromagnetic waves. Electromagnetic spectrum (radio waves, microwaves, infrared, visible, ultraviolet, xrays, gamma rays) including elementary facts about their uses.

**Optics **

Reflection of light spherical mirrors, mirror formula refraction of light, total internal reflection and its applications, optical fibres refraction at spherical surfaces, lenses thin lens formula lens maker’s Formula. Magnification power of a lens, combination of thin lenses in contract. Refraction and dispersion of light through a prism. Scattering of light – blue colour of the sky and reddish appearance of the sun at sunrise and sunset.

Optical instruments: Microscopes and astronomical Telescopes (reflecting and refraction) and their magnifying powers.

Waves optics: Wave front and Huygens principle reflection and refraction of plane wave at a plane surface using wave fronts. Proof of laws of reflection and refraction using Huygen’s principle. Interference, Young’s double slit experiment and expression for fringe width coherent sources and sustained interference of light. Diffraction due to a single slit, width of central maximum. Resolving power of microscopes and astronomical telescopes Polarization, plane polarized light; Brewster’s law. Uses of plane polarized light and polaroids.

**Dual Nature of Matter
and Radiation**

Dual nature of Radiation Photoelectric, Hertz and Lenard’s observations; Einstein’s Photoelectric equation – particle nature of light. Matter waves-wave nature of particles, de Broglie relation. Davission – Germer experiment.

**Atoms & Nuclei**

Alpha-particle scattering experiment, Rutherford’s model of atom; Bohr model, energy levels hydrogen spectrum. Composition and size of nucleus, Radioactivity – alpha, beta and gamma particles/rays and their properties; radioactive decay law Mass-energy relation, mass defect; binding energy per nucleon and its variation with mass number; nuclear fission, nuclear fusion.

**Electronic Devices **

Semiconductors; semiconductor diode – I – V. characteristics in forward and reverse bias, diode as a rectifier; I – V characteristics of LED, photodiode, solar cell and Zener diode: Zener diode as a voltage regulator. Junction transistor, transistor action characteristics of a transistor; transistor as an amplifier (common emitter configuration). Logic gates (OR, AND, NOT, NAND and NOR)

**Communication Systems **

Elements of a communication system (block diagram only); bandwidth of signals (speech, TV and digital data); bandwidth of transmission medium. Propagation of electromagnetic waves in the atmosphere, sky and space wave propagation. Need for modulation. Amplitude-modulate wave.

Communication Systems Elements of a communication system (block diagram only); bandwidth of signals (speech, TV and digital data); bandwidth of transmission medium. Propagation of electromagnetic waves in the atmosphere, sky and space wave propagation. Need for modulation. Amplitude-modulate wave.

**Chemistry**

**Class 11th (Theory), Some Basic
Concepts of Chemistry**

Structure of Atom

Classification of Elements and Periodicity in Properties

Chemical Bonding and Molecular Structure

States of Matter : Gases and Liquids

Chemical Thermodynamics

Equilibrium

Hydrogen

s-Block Elements (Alkali and Alkaline earth metals)

Some p-Block Elements

Organic Chemistry – Some Basic Principles and Techniques

Hydrocarbons

Environmental Chemistry

**Class 12th (Theory)**

Solid State

Solutions

Electrochemistry

Chemical Kinetics

Surface Chemistry

General Principles and Processes of Isolation of Elements

p-Block Elements

d and f-Block Elements

Coordination Compounds

Haloalkanes and Haloarenes

Alcohols, Phenols and Ethers

Aldehydes, Ketones and Carboxylic Acids

Organic Compounds Containing Nitrogen

Biomolecules

Polymers

Chemistry in EveryDay Life

**Mathematics**

**Sets And Functions**

Sets

Relations & Functions

Trigonometric Functions

**Algebra**

Principle Of Mathematical Induction

Complex Number and Quadratic Equations

Linear Inequalities

Permutations And Combinations

Binomial Theorem

Sequence And Series

**Coordinate Geometry**

Straight Lines

Conic Section

Introduction To Three Dimensional Geometry

**Calculus**

Limits And Derivatives

** **

**Mathematical Reasoning**

Mathematical Reasoning

Probability

**Vectors and Three-Dimensional
Geometry**

Vectors

Three-Dimensional Geometry

Linear Programming

Probability

**ARCHITECTURE APTITUDE TEST **

Aesthetic Sensitivity & Drawing aptitude of the Candidates shall be evaluated involving test of perception, imagination, observation, creativity, presentation & Architectural awareness to be presented in visual format relating to.

**Freehand drawing **

This would comprise of simple drawing depicting the total object in its right form and proportion, surface texture, relative location and details of its component parts in appropriate scale. Common domestic or day-to-day life usable objects like furniture, equipment. Etc. from memory.

**Geometrical drawing **

Exercises in geometrical drawing containing lines, angles, triangles, quadrilaterals, polygons, circles, etc. Study of plan (top view), elevation (front or side views) of simple solid objects like prisms, cones, cylinders, cubes, splayed surface holders etc.

**Three – dimensional perception **

Understanding and appreciation of three-dimensional forms with building elements, color, volume and orientation. Visualization through structuring objects in memory.

**Imagination and aesthetic sensitivity **

Composition exercise with given elements, Context mapping, Creativity check through innovative uncommon test with familiar objects. Sense of color grouping or application.

**Architectural awareness **

General interest and awareness of famous architectural creations-both national and international, places and personalities (architects, designers, etc.) in the related domain.

**Exam Date**

MUEEE 2024 Application Starts |
- March 19, 2024 (Open) |

Last Date to apply without late fee |
- April 14, 2024 |

Last Date to apply with late fee |
- April 21, 2024 |

AMUEE Admit Card |
- To be announced |

AMUEEE 2024 Exam Date for B.Tech |
- June 10, 2024 |

AMUEEE 2024 Exam Date for B.Arch |
- June 10, 2024 |

AMUEEE 2024 Result |
- To be announced |

**Official site - https://www.amu.ac.in/**