# NDA Syllabus 2023 - Physics, Chemistry, Math & Other

**NDA 2023: **The NDA or National Defense Academy is one of the most prestigious institutions in India that trains young men to become officers in the Indian Armed Forces. If you are planning to appear for the NDA exam in 2023, it’s important to know the syllabus beforehand to start your preparation on time.

The NDA syllabus consists of two papers, namely Mathematics and General Ability Test. The Mathematics paper covers topics like algebra, trigonometry, calculus, statistics, and probability. On the other hand, the General Ability Test (GAT) is divided into two parts – English and General Knowledge. The English section includes grammar, vocabulary, comprehension, and some basic usage rules. The General Knowledge section includes subjects like history, current affairs, geography, physics, and chemistry.

It’s important to note that the syllabus can vary slightly from year to year, so it’s always a good idea to keep yourself updated with the latest trends and changes. Additionally, make sure to practice mock tests and previous year question papers to gain confidence and familiarity with the exam pattern.

## NDA Syllabus - Paper 1 & 2

**ALGEBRA:**

- Concept Of A Set
- Operations on Set
- Venn Diagrams De Morgan Laws
- Cartesian Product Relation
- Equivalence Relation
- Representation of Real Number on a Line
- Complex Numbers – Basic Properties
- Modulus Argument
- Cube Roots of Unity
- Binary System of Numbers
- Conversion of a number in Decimal
- System to binary system and vice-versa
- Arithmetic
- Geometric & Harmonic Progression
- Quadratic Equations with Real Coefficients
- The solution of Linear Inequations of two variables by Graph
- Permutation and combination
- Binomial theorem and its application
- Logarithms and their applications

**Matrices and Determinant:**

- Types of Matrices
- Operations on Matrices Determinant of a Matrix
- Basic Properties of Determinant
- Adjoint & Inverse of a Square Matrix
- Applications—Solutions of a System of Linear Equations in two or three unknowns by Cramer’s Rule and by Matrix Method.

**Analytics Geometry Of Two and Three Dimension:**

- Rectangular Cartesian Coordinate System
- Diatance Formula
- Equation of a line in various forms
- The angle between two lines
- Equations of a circle in standard and in general form
- Ellipse & Hyperbola
- Eccentricity ad Axis of a Conic
- The point in a three Dimensional space, Distance between two points
- Direction Cosines and Direction Ratios
- The equation of a plane and a Line in various forms
- The angle between two lines & the angle between two planes
- The equation of a sphere

**Trigonometry:**

- Angles And Their Measures In Degrees And In Radians
- Trigonometrical Ratios
- Trigonometric Identities Sum And Difference Formulae
- Multiple And Sub-Multiple Angles
- Inverse Trigonometric Functions
- Applications – Height And Distance
- Properties of Triangles.

**Differential Calculus:**

- Concept Of A Real-Valued Function – Domain
- Range And Graph Of A Function
- Composite Functions
- Derivative Of Function At A Point
- Derivatives Of Sum
- Product And Quotient Of Functions
- Derivative Of A Function With Respect Of Another Function
- Derivative Of A Composite Function
- Second-Order Derivatives
- Increasing And Decreasing Functions
- Application of Derivatives in Problems of Maxima and Minima.

**Syllabus for Integral Calculus:**

- Integration as Inverse Differentiation
- Integration by parts and Substitution
- Standard Integrals Involving Expression of Algebric
- Hyperbolic and Exponential Function
- Trigonometric
- Evaluation of definite Integrals—Determination of areas of plane regions bounded by curves.

**Syllabus for Differential Equation:**

- Definition Of Order And Degree Of A Differential Equation
- Formation Of A Differential Equation
- General And Particular Solution Of A Differential Equation
- Solution Of First Order And First Degree Differential Equations Of Various Types
- Application In Problems Of Growth And Decay

**Statistics:**

- Classification of data
- Frequency distribution
- Cumulative Frequency Distribution—examples
- Graphical Representation – Histogram
- Pie chart
- Frequency Polygon – examples
- Measures of Central Tendency – Mean Median & Mode
- Variance & Standard Deviation Determination & Comparision
- Correlation and Regression

**Syllabus for Probability:**

- Random Experiment
- Outcomes And Associated Sample Space
- Events
- Mutually Exclusive And Exhaustive Events
- Impossible And Certain Events
- Union And Intersection Of Events
- Complementary
- Elementary And Composite Events
- Conditional Probability
- Bayes’ Theorem – Simple Problems
- Random Variable As Function On A Sample Space
- Binomial Distribution
- Examples of Random Experiments Giving Rise to Binominal Distribution.

**Syllabus for Vector Algebra:**

- Vectors In Two And Three Dimensions
- Magnitude And Direction Of A Vector
- Unit And Null Vectors Addition Of Vectors
- Scalar Multiplication Of Vector

**PHYSICS:**

- Newton’s Laws of Motion,
- Force and Momentum,
- The motion of objects,
- Parallelogram of Forces,
- Stability and Equilibrium of bodies,
- Gravitation, elementary ideas of work,
- Velocity and Acceleration,
- Power and Energy,
- Properties of a Magnet,
- Earth as a Magnet
- Siphon, Levers,
- Balloon, Pumps,
- Hydrometer, Pressure Cooker
- Sound waves and their properties,
- Simple musical instruments,
- Natural and Artificial Magnets
- Thermos Flask, Gramophone
- Telegraphs, Telephone, Periscope
- Telescope, Microscope
- Mariner’s Compass
- Lightening Conductors
- Safety Fuses
- Simple Pendulum.
- Simple Pulleys
- Physical Properties and States of Matter
- Mass, Weight, Volume, Density, and Specific Gravity
- Principle of Archimedes
- Pressure Barometer
- Effects of Heat
- change of State and Latent Heat
- Modes of transference of Heat
- Rectilinear propagation of Light
- Reflection and refraction
- Spherical mirrors and Lenses
- Human Eye, Static and Current Electricity
- Measurement of temperature and heat
- conductors and Non-conductors
- Ohm’s Law, Simple Electrical Circuits
- Heating, Lighting, and Magnetic effects of Current
- Measurement of Electrical Power
- Primary and Secondary Cells, Use of X-Rays.

**CHEMISTRY:**

- Preparation and Properties of Nitrogen
- Hydrogen, Oxygen & Carbon Dioxide
- Oxidation & Reduction
- The material used in the preparation of substances like Glass, Soap, Paper, Ink, Cement, Paints, Safety Matches, Gunpowder
- Carbon – different forms
- Physical & Chemical changes
- Symbols, Formulas, and simple Chemical Equations
- Law of Chemical Combination (excluding problems)
- Properties of Air and Water
- Acids, bases and salts, Elements, Mixtures and Compounds
- Fertilizers – Natural and Artificial
- Elementary ideas about the Structure of Atom
- Atomic, Equivalent and Molecular Weights, Valency.

**GENERAL SCIENCE:**

- Basis of Life – Cells, Protoplasms, and Tissues
- Constituents of food, Balanced Diet
- Achievements of Eminent Scientists
- Difference between the living and non-living
- Elementary knowledge of the human body and its important organs
- Food – Source of Energy for man
- Growth and Reproduction in Plants and Animals
- Common Epidemics, their causes, and prevention
- The Solar System – Meteors and Comets, Eclipses.

**HISTORY:**

- Freedom Movement in India
- Bhoodan, Sarvodaya
- National Integration and Welfare State
- Basic Teachings of Mahatma Gandhi
- A broad survey of Indian History, with emphasis on Culture and Civilisation
- Elementary knowledge of Five Year Plans of India
- Elementary study of Indian Constitution and Administration
- Panchayati Raj, Forces shaping the modern world
- Renaissance, Exploration, and Discovery
- War of American Independence
- French Revolution
- Industrial Revolution and Russian Revolution
- Impact of Science and Technology on Society
- Concept of one World
- United Nations, Panchsheel
- Democracy, Socialism, and Communism
- Co-operatives and Community Development
- Role of India in the present world.

**GEOGRAPHY:**

- Origin of Earth, Weathering – Mechanical and Chemical
- Earthquakes and volcanoes
- The atmosphere and its composition
- Temperature and Atmospheric Pressure
- Rocks and their classification
- Planetary Winds, cyclones, and Anti-cyclones
- Humidity, Condensation, and Precipitation
- Major Natural Regions of the World
- Important Sea ports and main sea
- land and air routes of India
- Main items of Imports and Exports of India
- Types of Climate
- The Earth, its shape and size, Lattitudes and Longitudes
- Concept of time, International Date Line
- Movements of Earth and their effects
- Ocean Currents and Tides
- Regional Geography of India
- Climate, Natural vegetation
- Mineral and Power resources
- location and distribution of agricultural and industrial activities.

## NDA 2023 Exam Pattern

The National Defence Academy (NDA) 2023 exam pattern is structured to test the aptitude and knowledge of candidates who wish to join the Indian Armed Forces. The exam is conducted twice a year by the Union Public Service Commission (UPSC). The exam is known for its rigorous selection process that tests not only the candidates’ intellectual abilities but also their physical fitness and personality traits.

The NDA 2023 exam pattern comprises two papers, namely Mathematics and General Ability Test (GAT). The Mathematics paper consists of 120 questions, and the GAT paper consists of 150 questions. The GAT paper includes questions from various subjects such as English, Physics, Chemistry, General Science, Geography, History, and Current Affairs.

To excel in the NDA 2023 exam, candidates need to develop strong conceptual clarity in all subjects and practice regularly. It is essential to focus on time management, accuracy, and speed during the exam. Candidates must also keep themselves physically fit by regularly engaging in running, push-ups, sit-ups, and other exercises.

In conclusion, cracking the NDA 2023 exam requires hard work, dedication, and focus. By leveraging a comprehensive study plan and a disciplined approach, candidates can increase their chances of scoring well and achieving their dream of joining the Indian Armed Forces. Good luck to all the aspirants!

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