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GCET 2024 Syllabus (Available) – Check Section & Subject Wise Syllabus Here

By: Sunil Kushwaha

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The Goa Common Entrance Test (GCET) is organized by the Directorate of Technical Education, Goa, offering many courses for aspiring candidates. Individuals interested in securing admission to various institutes in Goa can apply by filling out the GCET application form to participate in the examination. Annually, many candidates participate in this examination, seeking entry into diverse courses provided by GCET.

GCET facilitates admission into various courses encompassing fields like Medicine, Dentistry, Engineering, Pharmacy, Architecture, Homeopathy, Nursing, and other allied disciplines. The Directorate of Technical Education (DTE) administers various professional colleges in Goa. Aspiring candidates, primarily Goa residents, can apply for this examination to pursue their desired courses in these professional colleges nationwide.

This comprehensive article aims to equip candidates with complete information regarding the GCET examination. It covers essential details such as the GCET syllabus, exam pattern, important dates, and more, providing aspiring candidates with comprehensive insights and guidance to navigate the examination process effectively.

GCET 2024 Syllabus

The candidates have to prefer the syllabus for better preparation of the examination, and those candidates who prefer the syllabus they will be able to prepare well.

Physics Syllabus

  • Unit I: Electrostatics
  • Unit Ii: Current Electricity
  • Unit Iii: Magnetic Effects Of Current And Magnetism
  • Unit Iv: Electromagnetic Induction And Alternating Currents
  • Unit V: Electromagnetic Waves
  • Unit Vi: Optics
  • Unit Vii: Dual Nature Of Matter And Radiation
  • Unit Viii: Atoms And Nuclei
  • Unit Ix: Electronic Devices
  • Unit X: Communication Systems

Chemistry Syllabus

  • Unit I: Solid State
  • Unit Ii: Solutions
  • Unit Iii: Electrochemistry
  • Unit Iv: Chemical Kinetics
  • Unit V: Surface Chemistry
  • Unit Vi: General Principles And Processes Of Isolation of Elements
  • Unit Vii: P-Block Elements
  • Unit Viii: D And F Block Elements
  • Unit Ix: Coordination Compounds
  • Unit X: Haloalkanes And Haloarenes
  • Unit Xi: Alcohols, Phenols, And Ethers
  • Unit Xii: Aldehydes, Ketones, And Carboxylic Acids
  • Unit Xiii: Organic Compounds Containing Nitrogen
  • Unit Xiv: Biomolecules
  • Unit Xv: Polymers
  • Unit Xvi: Chemistry In Everyday Life

Mathematics Syllabus

  • Unit I: Relations And Functions
  • Unit Ii: Algebra
  • Unit Iii: Calculus
  • Unit Iv: Vectors And Three-Dimensional Geometry
  • Unit V: Linear Programming
  • Unit Vi: Probability

Biology

Class 12th

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  • Reproduction
  • Genetics And Evolution
  • Iii Biology And Human Welfare
  • Iv Biotechnology And Its Applications
  • V Ecology And Environment

Section A: Unit.1 Mathematical Physics

  • Review of Vector Algebra
  • Scalar and Vector fields
  • The gradient of a Scalar field
  • Divergence and curl of a vector field and their physical significance
  • Solenoidal fields
  • Guess Divergence theorem
  • Stokes theorem and its applications
  • Vector Identities

Unit. II Electromagnetic fields and waves

  • Gauss’s law in vector notation (differential and integral forms)
  • Applications of Gauss’s law to find electric fields due to a long charged wire
  • Cylindrical and Spherical charge distributions.
  • Derivation of Ampere’s Circuital law
  • Application of Ampere’s circuital law to find magnetic intensity due to long cylindrical wire
  • Due to a long solenoid
  • The differential and integral form of Faraday’s law of electromagnetic induction
  • Equation of continuity
  • Displacement current and its significance
  • Maxwell’s field equations (differential and integral forms)
  • Betatron
  • Electromagnetic wave propagation in free space (e.m, wave equations for fields for free space and their solutions (plane-wave solution)
  • The velocity of e.m. waves
  • The relation between Eo & Bo
  • Definition of Poynting Vector
  • Poynting theorem

Section B: Unit III – Applied Optics

  • Interference in thin films (by reflection and transmission of light)
  • Theory of Newton’s rings by reflected light
  • Determination of wavelength and the refractive index of monochromatic light by Newton’s theory
  • Fraunhofer & Fresnel’s diffractions, Fresnel’s half-period zones, and rectilinear propagation of light
  • Fraunhofer diffraction due to a single slit
  • The plane diffraction grating & its theory for secondary maxima and minimum
  • Unpolarized and polarized light, Nicol Prism
  • The mathematical representation of the polarization of different types
  • Quarter & half-wave plates

Unit IV – Oscillations

  • Free-damped and forced oscillations and their differential equations
  • Logarithmic decrement
  • Power dissipation and quality factor
  • Ultrasonic waves and their production by piezoelectric method and applications (General)

Unit V – Fibre optics

  • Propagation of light in fibres
  • Numerical aperture
  • Single-mode and multimode fibres
  • General applications

Unit I: Relations and Functions

1. Relations and Functions Types of relations: Reflexive, symmetric, transitive, and equivalence relations. One to one and onto functions, composite functions, the inverse of a function. Binary operations. 2. Inverse Trigonometric Functions Definition, range, domain, principal value branches. Graphs of inverse trigonometric functions. Elementary properties of inverse trigonometric functions.

UNIT II: Algebra

1. Matrices Concept, notation, order, equality, types of matrices, zero matrices, the transpose of a matrix, symmetric and skew-symmetric matrices.

Addition, multiplication, and scalar multiplication of matrices, simple properties of addition, multiplication, and scalar multiplication. Non-commutativity of multiplication of matrices and existence of non-zero matrices whose product is the zero matrices (restricted to square matrices of order 2).

The concept of elementary row and column operations. Invertible matrices and proof of the uniqueness of inverse, if it exists; (Here, all matrices will have real entries).

2. Determinants Determinants of a square matrix (up to 3 × 3 matrices), properties of determinants, minors, cofactors, and applications of determinants in finding the area of a triangle.

Adjoint and inverse of a square matrix. Consistency, inconsistency, and several solutions of the system of linear equations by examples, solving a system of linear equations in two or three variables (having a unique solution) using the inverse of a matrix.

UNIT III: Calculus

1. Continuity and Differentiability Continuity and differentiability are the derivatives of composite functions, chain rules, derivatives of inverse trigonometric functions, and derivatives of implicit functions. Concepts of exponential, logarithmic functions.

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Derivatives of x e log and x e. Logarithmic differentiation. The derivative of functions is expressed in parametric forms. Second-order derivatives. Rolle’s and Lagrange’s Mean Value Theorems (without proof) and their geometric interpretations
2. Applications of Derivatives: Rate of change, increasing/decreasing functions, tangents, and normals, approximation, maxima and minima (first derivative test motivated geometrically and second derivative test
given as a provable tool). Simple problems (that illustrate basic principles and understanding of the subject and real-life situations). 3. Integral integration as the inverse process of differentiation. Integration of a variety.

TitleAuthor
Vector AnalysisSpiegel
Mathematical PhysicsRajput & Gupta
PhysicsResnick & Halliday
OpticsBrijlal & Subramaniam
SoundSubramaniam
SoundKhanna & Bedi
Fibre OpticsGhatak, Tyagrajan

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