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Home » Important Concept » What is Friction?: Definition, Types, Applications, Examples

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    What is Friction?: Definition, Types, Applications, Examples

    Friction is the force that acts when two surfaces touch and attempt to move against each other. This article explores the types of friction, factors affecting it, its applications, and real-life examples to highlight its significance.

    by Simran
    2 years ago
    in Important Concept
    What is Friction?

    What is Friction?

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    Friction is the force that acts when two surfaces touch and attempt to move against each other. It resists this movement, making it harder for one surface to slide over the other. For instance, friction between your shoes and the ground prevents slipping when you walk, and it helps you grip tools effectively. This force is vital in daily life, influencing how we interact with objects, keep from sliding, and ensure cars grip the road or machines function properly. 

    Understanding friction helps us manage movement and improve efficiency in various technologies. This article explores the types of friction, factors affecting it, its applications, and real-life examples to highlight its significance.

    What is Friction?

    Friction is the force that resists the movement between two surfaces that are touching each other. Think about sliding a book across a table: the book doesn’t keep sliding indefinitely; it slows down and eventually stops because of friction. This force works along the surfaces that are in contact and can either make movement easier or harder. 

    For example, friction helps you grip things like a pen or a steering wheel, preventing them from slipping out of your hand. It also plays a crucial role in daily activities by helping to control movement, such as stopping a car or walking without slipping. Without friction, many everyday tasks would be difficult or even dangerous.

    Types of Friction

    Friction comes in several types, each with its own unique characteristics and effects:

    Static Friction

    Static friction is the force that prevents an object from starting to move when a force is applied. It acts to keep the object stationary until you apply enough force to overcome it. For instance, when you try to push a heavy box across the floor, static friction holds it in place. This frictional force needs to be overcome to get the box moving. Static friction is crucial for initiating movement and helps keep objects from sliding unintentionally. It is generally stronger than kinetic friction because it resists the start of motion more effectively.

    Kinetic Friction

    Kinetic friction, also known as dynamic friction, occurs when two surfaces are sliding against each other. It works in the opposite direction of the movement, slowing down the motion. For example, when a sled moves across snow, kinetic friction acts to slow it down. This type of friction is usually less than static friction because the surfaces are already in motion relative to each other. As a result, it requires less force to keep an object moving than to start its movement.

    Rolling Friction

    Rolling friction occurs when an object rolls over a surface rather than sliding. It is typically less than sliding or kinetic friction because the area of contact is smaller and the rolling motion reduces resistance. For example, rolling a wheelbarrow is easier than dragging it. Rolling friction is what allows wheels, bearings, and other round objects to move smoothly and efficiently. It is crucial for vehicles and machinery, making movement easier and more efficient.

    Fluid Friction

    Fluid friction, also known as drag, happens when an object moves through a fluid, such as air or water. This type of friction affects the speed and efficiency of the object’s movement through the fluid. For example, a boat moving through water or a car driving through air experiences fluid friction. The friction between the object and the fluid creates resistance that slows down the object. Fluid friction plays a significant role in various applications, such as in aerodynamics and hydrodynamics, impacting how efficiently objects move through different fluids.

    Factors Affecting Friction in Physics

    Several factors affect friction between surfaces, including surface roughness, normal force, material type, and lubrication. Each factor influences how much resistance is encountered during movement.

    Surface Roughness

    The texture of a surface, or its roughness, plays a significant role in determining the amount of friction. Surfaces with a rough texture create more friction because their irregularities interlock and resist movement. For example, the coarse texture of sandpaper creates high friction, making it ideal for sanding wood or metal. Conversely, a smooth surface, like polished marble or glass, has fewer irregularities, resulting in less friction and smoother motion. This difference in texture means that objects will slide more easily on smoother surfaces but will face more resistance on rougher ones.

    Surface roughness also affects how objects wear over time. On rough surfaces, friction can cause more wear and tear as the irregularities scratch and damage the materials. In contrast, smoother surfaces may experience less wear, but they can still suffer from other forms of surface damage.

    Normal Force

    The normal force is the perpendicular force exerted by a surface to support the weight of an object resting on it. This force directly impacts the amount of friction between the surfaces. A higher normal force means more friction because the surfaces are pressed together more firmly. For instance, when you push down harder on a table with a heavy book, the friction between the book and the table increases. This is why a heavy object like a car tire on the road creates more friction compared to a lighter object like a bicycle tire. The increased normal force from the heavier weight makes it harder to slide or move the object.

    Normal force is not only related to weight but also to how the surfaces are oriented. For example, if you tilt a surface, the normal force changes, which can affect the frictional force. On a slope, the component of the weight perpendicular to the surface decreases, reducing the normal force and, consequently, the friction.

    Material Type

    Different materials have varying frictional properties based on their texture, hardness, and composition. The type of material significantly affects how much friction it generates. For instance, rubber on concrete has a high coefficient of friction due to the grip provided by rubber’s texture, which helps in traction and prevents slipping. In contrast, steel on ice has a low coefficient of friction because the ice provides a slippery surface, making it easy for skates or other steel objects to glide.

    The frictional properties of materials are also affected by their temperature and surface treatments. For example, materials can become stickier when heated or, conversely, more slippery when cooled. Surface treatments, such as coating or texturing, can also modify friction. For instance, applying a rough coating to a surface can increase friction, while a smooth coating can reduce it.

    Lubrication

    Lubrication is a key method for controlling and reducing friction between surfaces. By applying lubricants like oil, grease, or even water, a thin layer is created between the surfaces, which reduces direct contact and the resulting friction. This layer helps the surfaces slide over each other more smoothly. For example, in a car engine, oil reduces friction between moving parts, which helps prevent overheating and wear.

    Lubrication not only makes moving parts function more efficiently but also extends their lifespan. In industrial machinery, regular lubrication is crucial to keep machines running smoothly and to avoid breakdowns caused by excessive friction. Different lubricants are used depending on the specific needs of the application, including factors like temperature, pressure, and the type of materials in contact.

    Applications of Friction

    • Transportation
    • Sports
    • Everyday Tasks
    • Machinery

    Examples of Friction

    Walking

    When you walk, friction between your shoes and the ground is essential for maintaining your balance and preventing slips. This frictional force acts as a grip, allowing your feet to push against the ground and propel you forward. Without sufficient friction, your shoes would slide, making walking difficult and potentially causing you to fall. For instance, walking on a slippery surface like ice would be challenging because the friction is significantly reduced, making it harder to maintain balance and move safely.

    Driving

    Friction is vital for safe driving. The contact between car tires and the road surface allows for acceleration, braking, and turning. When you press the brake pedal, friction between the brake pads and the wheels generates a force that slows the vehicle down. Similarly, friction between the tires and the road helps you navigate curves and maintain control of the car. If the friction between the tires and the road surface is low, such as on a wet or icy road, it becomes more difficult to control the vehicle, increasing the risk of skidding or accidents.

    Braking

    In both bicycles and cars, braking relies on friction to slow down or stop. When you apply the brakes, friction between the brake pads and the wheels creates resistance, which reduces the speed of the vehicle. This frictional force is crucial for stopping safely and controlling the vehicle’s speed. For example, on a bicycle, the friction between the brake pads and the wheel rims allows you to decelerate smoothly. Without this friction, braking would be less effective, leading to longer stopping distances and potential safety hazards.

    Writing

    Friction is also important when writing with a pen or pencil. The friction between the pen tip and the paper creates the marks you see on the page. As you move the pen, the friction between the ink and the paper surface allows you to write smoothly and legibly. The amount of friction affects the quality of writing; too little friction can make writing feel slippery and less controlled, while too much friction can make the writing process feel harsh or scratchy. This friction is essential for creating clear and readable text.

    Benefits and Drawbacks of Friction

    Friction has both benefits and drawbacks, affecting how we interact with objects and how systems operate:

    Benefits

    Safety: Friction is crucial for safety as it helps control movement and prevents accidents. For example, tire tread patterns are specifically designed to increase friction with the road, improving grip and reducing the risk of skidding. This is especially important in wet or slippery conditions where good traction can prevent dangerous slides and maintain stability.

    Functionality: Friction enables us to perform various tasks more effectively. When you grip tools or handle objects, the friction between your hands and the tools ensures that you can hold and use them properly. For example, friction between a screwdriver handle and your hand prevents it from slipping, allowing you to apply the necessary force without losing control.

    Drawbacks

    Wear and Tear: Excessive friction can cause surfaces and components to wear down over time. For instance, the friction between engine parts in a car leads to gradual wear, which can result in reduced performance and the need for repairs. This wear and tear can shorten the lifespan of parts and require more frequent maintenance.

    Energy Loss: Friction can lead to energy loss as it converts useful energy into heat. This reduces the efficiency of machines and systems. For example, in a conveyor belt system, friction between the belt and the rollers generates heat, which not only wastes energy but also requires more power to maintain operation. This extra energy consumption can increase operating costs and reduce overall efficiency.

    Overall, while friction is essential for many everyday functions and safety, managing its negative effects is important to maintain efficiency and reduce wear.

    How to Reduce Friction?

    Reducing friction can improve efficiency and performance in various situations. Here are some common methods to achieve this:

    Lubrication

    Lubrication involves applying substances like oil or grease to surfaces in contact. This creates a thin layer between the surfaces, reducing direct contact and thus lowering friction. For example, adding oil to a bicycle chain makes it easier for the chain to move over the years. 

    Without lubrication, the chain would experience more resistance, making pedaling harder and potentially causing wear on the components. Lubricants are essential in many machines and vehicles to ensure smooth operation and reduce wear and tear.

    Smooth Surfaces

    Making surfaces smoother can also help reduce friction. When surfaces are polished or finished to be very smooth, there are fewer microscopic bumps and irregularities that can cause resistance. For instance, in machinery, polished metal surfaces create less friction compared to rough, unfinished ones. 

    This smoothness allows parts to move more easily against each other, leading to smoother operation and increased efficiency. In everyday life, a polished table surface will be easier to clean and slide objects over compared to a rough one.

    Ball Bearings

    Ball bearings are small, round components used in machinery to reduce friction. They consist of balls that roll between two surfaces, allowing smooth, rolling motion rather than sliding. Ball bearings are commonly found in wheels, motors, and other moving parts. 

    By using ball bearings, the contact area is reduced, which lowers friction and helps parts move more easily. For example, ball bearings in a skateboard’s wheels help it roll smoothly, reducing the effort needed to push it along.

    Friction in Nature

    Friction is not just a human-made concept; it also occurs naturally in the world around us:

    Animal Movement

    Animals use friction to their advantage in various ways. For example, geckos have feet covered with tiny, hair-like structures that increase friction, allowing them to climb smooth surfaces like glass. 

    This natural adaptation helps them cling to surfaces and move effortlessly. Similarly, other animals, like cheetahs, have specially adapted paws that provide better traction and enable them to run at high speeds.

    Earthquakes

    Friction plays a crucial role in earthquakes. It occurs between tectonic plates, which are massive sections of the Earth’s crust. As these plates move, friction builds up due to the roughness of their surfaces. 

    When the stress exceeds the frictional force, the plates suddenly slip, releasing energy in the form of seismic waves. This sudden release causes the ground to shake and results in an earthquake. Understanding this natural friction is key to studying and predicting seismic activity.

    Measuring Friction

    Friction can be quantified and measured to understand and manage it better:

    Coefficient of Friction

    The coefficient of friction is a numerical value that represents how much friction exists between two surfaces. It is determined through experiments and varies depending on the materials and conditions. For example, rubber on concrete has a high coefficient of friction, while ice on steel has a low one. This value helps in calculations and predictions related to force and movement. It’s used in engineering and physics to design systems and ensure safety.

    Frictional Force Calculation

    To calculate the frictional force, the formula used is:

    where Ff is the frictional force, μ is the coefficient of friction, and N is the normal force (the force pressing the surfaces together). This formula helps determine how much force is needed to overcome friction and move an object. For instance, if you know the coefficient of friction between a sled and snow and the weight of the sled, you can calculate the force needed to pull it.

    Historical Perspective

    The understanding of friction has developed over time through the contributions of various scientists:

    Early Theories

    Early observations of friction were made by ancient scientists like Aristotle and Galileo. Aristotle recognized that friction opposes motion, while Galileo conducted experiments to explore how friction affects the speed of sliding objects. These early studies laid the groundwork for more detailed research into how friction works.

    Modern Understanding

    In the 19th century, scientists like Charles-Augustin de Coulomb developed more precise laws and equations to describe friction. Coulomb’s laws provided a mathematical framework for understanding and calculating frictional forces. His work was crucial in advancing the study of friction and its practical applications in engineering and physics, forming the basis for modern friction analysis and technology.

    What is Friction? FAQs

    Q1. What is the basic definition of friction?

    Friction is a force that opposes the relative motion or tendency of motion between two surfaces in contact. It acts parallel to the surfaces and can either help or hinder movement.

    Q2. What are the different types of friction?

    The main types of friction are static friction (preventing motion), kinetic (or dynamic) friction (resisting moving objects), rolling friction (when objects roll over a surface), and fluid friction (resisting motion through a fluid like air or water).

    Q3. How does friction affect everyday activities?

    Friction plays a crucial role in daily life, from helping you walk without slipping to enabling cars to grip the road. It also affects how efficiently machines operate and how easily objects can be handled.

    Q4. What factors influence the amount of friction between surfaces?

    Several factors affect friction, including surface roughness (rough surfaces create more friction), normal force (greater pressure increases friction), material type (different materials have different frictional properties), and lubrication (reduces friction by creating a slippery layer between surfaces).

    Q5. How can friction be reduced in practical applications?

    Friction can be reduced by using lubricants like oil or grease, smoothing surfaces, and employing ball bearings. These methods help minimize resistance and improve efficiency in machinery, vehicles, and other systems.

    Tags: Applications of FrictionDefinition of FrictionWhat is Friction?
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    Difference between heat and temperature Measurement of Temperature Centre of mass of solid hollow sphere hemisphere
    Work Energy Theorem Potential Energy Application of Newtons second law of motion
    Newton Third Law of Motion Conservation of Mechanical Energy Free Body Diagram
    Resultant Force Vertical Circular Motion Work Done
    Coulombs Law Electric Dipole Stress
    Normal Stress and Types Moment of Inertia Waves
    Transverse Wave Connected Motion Longitudinal Strain
    Radiation Young's Modulus Convection
    Dipole Electric Field Static Friction Nuclear Fission
    Pseudo Force Nuclear Fusion Beta Decay
    Nuclear Force Alpha Decay Energy in Simple Harmonic Motion
    Lamis Theorem Velocity and Acceleration Time Graph Moment of Inertia of Rigid Bodies
    Gauss’s Law Periodic and Oscillatory Motion Newton's Law of Cooling
    Perpendicular & Parallel Axis Theorem Friction On Inclined Plane Kirchhoff's Law
    Shear Strain Gamma Decay Charge Contained Symmetrical Objects
    Parallel and Perpendicular Mirrors Photoelectric Effect Transformer
    Density Surface Tension Angle of Contact
    Longitudinal Wave Heat Capacity Centre of Gravity
    Permanent Magnets and Electromagnets Torque Einstein's Photoelectric Equation
    Progressive Wave Inclined Plane Mirrors Types of Transformers
    Velocity of Image in Plane Mirror Concave Lens Eye and its Defects
    Fluid Atmospheric and Gauge Pressure Excess Pressure Inside Bubble and Drop
    Capillarity Sound Wave Pascal's Law
    Stress Strain Curve Compound Microscope Telescopes
    Power in AC Circuit Impedance in Series LCR Circuit Mean and RMS Value
    Mirror Formula Alternating Current Magnification in Spherical Mirror
    Cells Power of Mirror and Lens Resistor Color Code
    Kirchhoff's Rule Conversion of Galvanometer to Ammeter X-rays Production
    Properties of X-Rays Continuous X-ray Thermal Expansion
    Hysteresis Curve Angular Impulse Interference of Sound
    Simple Pendulum Simple Harmonic Motion Voltmeter
    Ammeter Wheatstone Bridge Meter Bridge
    Prism Superposition of Waves Interference of Waves
    Resolution of Vectors Thermal Stress and Strain Velocity and Acceleration
    Scalar Product Vector Product Torsional Pendulum
    Combination of Resistors Electroplating Uses Scope and Excitement of Physics
    Conduction What is Science Speed of Traveling Wave
    Distance Formula Kinematics of Circular Motion Non Uniform Motion
    Gamma Rays Radio Waves Displacement
    Electromagnetic Spectrum Maxwell’s Equations  
    118 Elements and Their Symbols and Atomic Numbers Acetone Acid And Base Difference
    Acids Bases and Salts Actinides Addition Reaction
    Adsorption Chromatography Aldol Condensation Alkali Metals
    Ammonium Chloride Applications of Redox Reactions Argon
    Arrhenius Equation Rate Constant And Temperature Atomic Number Mass Number Aufbau Principle
    Aufbau Principle, Paulis Exclusion Principle and Hands Rule Bakelite: Structure and Uses Benzene Reactions
    Benzoic Acid - Structure and Properties Biodegradable and Non Biodegradable Calcium Oxide
    Cathode Ray Experiment Charles Law Chemical And Its Composition
    Chemical Formula of Common Compounds Classification Of Carbohydrates and Its Structure Classification of Organic Compounds
    Coefficient of Viscosity - Definition, Formula and Example Colligative Properties beRelative Lowering of Vapour Pressure Colloidal Solution
    Components of Air Condensation Conformation
    Cracking Meaning Crystallization Decantation
    Decomposition Reaction Dehydration of Alcohols Difference Between Alkali and Base
    Difference Between Atom And Ion Difference Between Atom and Molecule Difference Between CNG and LPG
    Difference between Compound and Mixture Difference Between Element And Compound Difference Between Exothermic and Endothermic Reactions
    Difference Between Mixture and Solution Difference Between Molecule and Compounds Difference Between Organic And Inorganic Compounds
    Difference between Physical and Chemical Change Difference between Vapor and Gas Disaccharides
    Discovery of Protons and Neutrons Distillation Effects of Burning Fossil Fuels
    Electromeric Effect Electron Configuration Electronic Configuration of First 30 Elements
    Electronic Configuration of Iron Electroplating Process Endothermic Reaction
    Enthalpy Change Enzyme Catalysis Ester
    Ester Hydrolysis Ethanoic Acid Exothermic Reaction
    Filtration Fuel Types Functions of Nucleic Acids
    Glycerin Glycine Structure Glycogen
    Gravimetric Analysis Group 17 Trends Properties Heat Capacity Cp Cv Relation
    Heavy Water Homogeneous Mixture and Heterogeneous Mixture Hunds Rule
    Hybridization Hydrochloric Acid Hydrogen Peroxide
    Introduction: Importance of Forest IR Spectroscopy Iron
    Krypton Lewis Dot Structures Metallic Bonds
    Metals and Nonmetals Methanol Mineral Resources
    Mixtures Modern Periodic Table and Its Significance Mole Concept
    Monosaccharides NaHCO3 Natural Polymers
    Neutralization Reaction Non Metals Oxalic Acid
    Oxygen Periodic Table Elements Periodic Trends in Properties of Elements
    Pesticides Phenol Preparation Phosphoric Acid
    Physical and Chemical Properties of Carbon Physical And Chemical Properties of Water Physical Change and Chemical Change
    Polarity Polymers Uses Polyvinyl Alcohol
    Positron Potassium Potassium Dichromate - Formula, Properties and Uses
    Potassium Permanganate Precipitation Reaction Preparation of Benzene
    Preparation Properties and uses of Sodium Chloride Properties of Boron Family Properties of Solution
    Redox Titration Relation Between Normality And Molarity Rusting Iron Prevention
    Rutherford Atomic Model Rutherford Atomic Model Shapes of Molecules Vsepr Theory
    Shapes of Orbitals Sieving SilkWorm - Life Cycle of Silkworm, Diagram
    Silver Nitrate Soaps And Detergents Sodium Hydroxide
    Structure of Benzene Sublimation Synthetic Fibres And Natural Fibres
    Synthetic Polymers Tollens Test Toluene
    Transition Metals Tyndall Effect Types of Organic Reactions
    Types of Solutions Types of Titration - Acid Base Titration Unsaturated Solutions
    Ununoctium Ununpentium Uses of Acetone
    Uses of Air Uses of Bauxite Uses of Carboxylic Acid
    Uses of Coal Uses of Ethers Health In Care Industry Uses of Formaldehyde
    Uses of Graphite Uses of Methanol and Ethanol Uses of Minerals
    Uses Of Nitric Acid Uses of Phenol Uses of Propanol
    Uses of Sulfuric Acid Uses of Water Valence Bond Theory
    Volumetric Analysis Waste Water Cycle Process
    What is Dipole Moment? What is Eutrophication? What is Metallurgy?
    Wurtz Reaction Mohr’s Salt Titration with KMnO4 Gattermann Reaction
    Benzene Brown Ring Test Calcium Carbonate
    Cotton and its Various Uses Difference between Petrol and Diesel Engine Difference between Sigma and Pi Bond
    Element-Manganese (Mn) Friedel Crafts Reaction Hofmann Elimination
    Isomerism Laws of Chemical Combination Mannich Reaction
    Methods of separation Molisch’s Test Name Reactions
    NMR Spectroscopy Non – Aqueous Titration Ozonolysis Mechanism – Ozonolysis of Alkenes and Alkynes
    Periodic Classification of Elements Pinacol Pinacolone Rearrangement Planck’s Quantum Theory
    Pseudo First Order Reaction Rosenmund Reduction Mechanism Salt Analysis
    Saponification Science in Everyday life and Its Importance Sericulture: Rearing of Silkworm to Produce Silk
    Spectrophotometer Principle Zone Refining  
    Reactivity Series Difference between isotropic and anisotropic Introduction to p-Block elements
    Plant fibres Inert Gases: Uses Benzoin Condensation
    Difference between primary cell and secondary cell Partition Chromatography Applications of colloids
    Displacement Reactions Handpicking Biogas: Uses of Biogas
    Acid Rain Types of Chemical Reactions SN2 Reaction Mechanism
    Complexometric Titration markovnikov rule Kohlrausch Law
    Electrode Valency Chart Order of Reaction
    Band Theory Difference Between Rusting and Corrosion Potentiometric Titration
    Frenkel Defect Deforestation Stephen Reaction Mechanism
    Gattermann – Koch Reaction Mechanism Electronegativity Industrial Waste: Types
    Ethylene Charge to Mass Ratio of an Electron Fehling Solution
    Photochemical Reactions Difference Between Endpoint and Equivalence Point Second Order Reaction
    Etard Reaction Forms of water Preparation of Acetanilide
    Metallic Minerals and Non-Metallic Minerals Ferric Chloride Henry's Law
    Preparation of Mohr's salt Schottky Defect Claisen rearrangement
    Calcium sulphate Sodium carbonate Rubber
    Ethyl acetate Conductometric Titration Resorcinol
    Difference Between Evaporation and Condensation States of Matter Boric Acid
    Types of Minerals Finkelstein Reaction Electronegativity Chart
    Difference between Solid, Liquid and Gas in tabular form Aromaticity Drawbacks of Rutherford's Atomic Model
    Thermosetting Polymers Preparation of Alkanes Examples of Bases
    Suzuki Coupling Reaction Standard Electrode Potential Disadvantages of Plastics
    Reducing Agent Van't Hoff Factor Hard Water and Soft Water
    Organometallic compounds Gay Lussac's Law Slaked Lime
    Borax Tetravalency of Carbon Boyle's Law
    Ellingham Diagram Crystal Defects : Point Defects HVZ Reaction (Hell-Volhard-Zelinsky Reaction)
    Classification of Drugs Preparation of Sulfuric Acid Lucas test
    Xenon Difluoride Bravais Lattice Classification of Oxides
    Elimination Reaction preparation of polythene, Teflon and polyacrylonitrile Difference between cations and anions
    Uses of Limestone Fructose Azeotropes
    Lewis Acid and Base Emulsification Dielectric properties of solids
    Zwitterion Birch Reduction Mechanism Oxidation and Reduction
    Electrophilic Substitution Reaction Suspensions Aromatic Compounds
    Ores and Minerals Adsorption theory of heterogeneous catalysis Wittig Reaction
    Difference between evaporation and boiling Intensive And Extensive Properties Of Matter Electronic Configuration of Group 16 Elements
    Difference Between Elements and Atoms Sodium Oxide Gypsum
    Difference Between Alloy and Composite Chemical Equations Thorium
    Lead Acid Battery Isotopes of Hydrogen Significant Figure Rules
    Electrophilic Addition Reactions Of Alkenes Isothermal Expansion of an Ideal Gas Potassium Chloride - KCl
    Aluminum Oxide Difference Between Acetic Acid and Glacial Acetic Acid Difference Between Polar and Nonpolar
    Difference Between Baking Powder and Baking Soda Test for Phenolic group To prepare colloidal solution of starch
    Uses of Mica Pi Bonds Potassium Chlorate
    Schmidt Reaction High density Polyethylene Huckel's Rule
    Discovery of Proton Aluminium Ore: Extraction of Aluminium Benzene Hexachloride
    Caustic Potash or Potasium Hydroxide Electromagnetic Radiation - Wave Nature Atomic Number and Mass Number, Isotopes and Isobars
    Preparation of Potash Alum Beckmann Rearrangement Heterogeneous Equilibrium
    Butane Factors Affecting Electrolytic Conductance Scandium
    Homogeneous Equilibrium Phenols Nomenclcature Galvanic Corrosion
    Chlorine Trifluoride Robinson Annulation Copper
    Pyridine Silver Carbonate Harmful Effects of Radiation
    Water Electrolytes and Nonelectrolytes Rules for filling Electrons in Orbitals
    Purification of Colloids Instantaneous and Average Rate of Reaction Density
    Hydrogen Hydrogen Peroxide Strength of Solution
    Chromatography Phosphorus Phosphorus Halides
    Hydrogen Glucose Electrolysis
    Discovery of Electron Catalysis Receptors as Drug Target
    Nutrition Respiration & Reproduction in Eubacteria Charge of Electron Osmosis
    Acidic Buffer Solution Basic Buffer Solution Covalent Bond
    Voids    
    Additive and Multiplicative Identity Adjacent and Vertical Angles Algebra Symbols
    Area Of Hemisphere Area Of Hollow Cylinder Area of Pentagon
    Area of Rectangle Bodmas Rule Branches of Mathematics
    Chance and Probability Circumference of a Circle Congruence Of Triangles
    Construction of Angles Cuboid and Cube Decimals In Daily Life
    Divisibility Rules Dot Product of Two Vectors Empirical Probability
    Equivalent Fractions Even Odd Prime Composite Numbers Frequency Polygons
    Geometric Tools Integers Lines
    Maths Project Number System Numeral System
    Odd Numbers Perfect Cube Of Numbers Perfect Numbers
    Perpendicular Bisector Precision Prime Factorization of Hcf And Lcm
    Prime Numbers Probability and Statistics Symbols Quadrilateral
    Reflection Symmetry Roman Numerals Set Theory Symbols
    Surface Area and Volume Three Dimensional Shapes Triangular Numbers
    Trigonometry Trigonometry Table Two Lines Symmetry
    Types of Angles Value of Pi Variables And Constants In Algebraic Expressions
    Z Score Table Addition Table Algebraic Expression
    Algebraic Identities Apollonius Theorem Applications of Trigonometry
    Area of a Sphere Area of Equilateral Triangle Area of Isosceles Triangle
    Area of Quadrilateral Area of Trapezium Area of Triangle
    Area Segment Circle Ascending Order Average and Mean
    Basic Proportionality Theorem Bisection Method Centroid
    Circumcenter of a Triangle Cm to inch converter Co-Prime Numbers
    Compound Interest Coordinate Geometry Correlation
    Cos 30 Degrees Cube Cylinder
    Difference Between Fraction And Rational Numbers Difference Between Percentage and Percentile Differential Equations
    Differentiation Formulas Even Numbers Factorisation
    Frequency Distribution Table Statistics Graphical Representation HCF and LCM
    Height and Distance Horizontal Line How to Find the Percentage of Marks?
    Math Tricks Maths Equations Mensuration
    Obtuse Angled Triangle Odd Numbers Onto Function
    Pentagon Pentagonal Prism Perimeter of Square
    Perimeter of Triangle Probability Profit and Loss
    Properties of a Triangle Properties of Isosceles Triangle Rational Numbers
    Rational Numbers and Their Properties Real Number Relation between Mean, Median and Mode
    Rhombus Rotation Semicircle
    Sin 30 Degrees Solving Linear Equations Square Root
    Statistics Supplementary Angles Surface Area of a Hemisphere
    Surface Area of a Sphere Surface Areas and Volume Symmetric and Skew Symmetric Matrix
    Tables of 2 to 30 The volume of a Cylinder Trapezium
    Triangular Prism Trigonometric Ratios Types of Triangles
    Types of Vectors Value of Log Infinity Value of Root 3
    Value of Root 5 Vertical Line Volume of a Cube
    Volume of Hemisphere Whole numbers Algebraic Identities
    Differentiation and Integration Greater Than and Less Than Symbols Laplace Transform
    Linear Graph Trigonometric Ratios Orthocenter
    Orthogonal Matrix Square Root from 1 to 25 Log 0 Value
    Altitude of a Triangle Binary Subtraction Cayley Hamilton Theorem
    Diagonal Matrix Difference Between Constants and Variables Difference Between Linear and Nonlinear Equations
    Geometric Progression Sum of GP Like Fractions Unlike Fractions Difference between Place Value and Face Value
    Sin 60 Degrees Singular Matrix Value of Cos 120
    Antilog Table Consistent And Inconsistent Systems Cube Root of Unity
    Direct and Inverse Proportion Euclid Division Lemma Extrapolation
    Frustum of Cone Greater Than Symbol Elementary Transformation of Matrix
    Integration Limits and Derivatives Methods of Integration
    Polynomial Rational Numbers Between Two Rational Numbers Relations and Functions
    Relation and Its Types Right Circular Cone Sequence and Series
    Square Root Of 4 Square Root Of 5 Square Root Of 7
    Statements in Mathematical Reasoning Trapezoids Binary Multiplication
    Definite Integral Square Root of 1 Value of sin 15
    Continuity and Differentiability Axiomatic Definition of Probability Area Of Quadrant
    Rectangle Operations on Rational Numbers Pascals Triangle
    Acute Angled Triangle Angle of Elevation Angle Sum Property of a Triangle
    Tables of 2 to 30 The volume of a Cylinder Trapezium
    Area of a Scalene Triangle Centroid of a Triangle Heptagon
    Octagon Permutation and Combination Scalene Triangle
    Similar Triangles Surface Area of Cube Surface Area of Cylinder
    Volume of Cone Volume of Cuboid Value of Log 1
    Decimal Number System Conversion of Units What is Proper Fraction?
    Rolle's Theorem Vertical Angles Trigonometry Values
    Sec 0 Greatest Integer Function Mean Deviation & Frequency Distribution
    Concentric Circles Symmetry Variance
    Laws of Exponents Length of Tangent Alternative Hypothesis
    Control Charts Straight Angle LCM Of Two Numbers
    Bivariate Analysis Surds Square Root of 10
    Cos 90 Value Prime Numbers and Composite Numbers Decimal to Binary
    Difference Between Square & Rhombus Symmetric Matrix Relation Between Inch and cm
    Sin 45 Value Divisibility Rules For 13 Profit and Loss Percentage
    Linear Pair Of Angles Line Segment Rational and Irrational Numbers
    Euclid Geometry Sec 30 Complimentary and Suplementary Angles
    Square root and Cube Root LCM Nature of Roots of a Quadratic Equation
    Vertices, Faces and Edges Quadrilateral Angle Sum Property Geometry Symbols
    Isosceles Triangle Numbers in Words Angle Between Two Planes
    Complex Numbers Addition and Subtraction of Integers Natural Numbers and Whole Numbers
    Is 91 a Prime Number? Difference Between Cube and Cuboid Distributive Property
    Difference Between Rhombus and Parallelogram Skip Counting Trigonometry Functions of Sum and Difference of Angles
    Logarithm Table Vector And Scalar Quantities Data Organization
    PEMDAS Secant of a Circle Vector Space
    Angle Bisector Theorem Mutually Exclusive Events Statistical Inference
    Difference Between Area and Volume How to Find Prime Numbers? 3D Shapes
    Division of Line Segment Binary Addition Ordinate
    Line Graph Boolean Algebra Latus Rectum of Conic Section
    Differential Equation And It's Types Involute Similarity of Triangles
    Simple Equations Application Types of Polygon Equation of A Circle
    Law of Tangents Data Sets Binary to Octal Conversion
    Rational Numbers on a Number Line Cross Section Construction of Triangle
    Circles Factors of 36 Probability Distribution
    Difference Between Parametric and Non-Parametric Test Number Patterns Whole Numbers Parts of Circle
    Square Root of 9 Parallel Lines Oblique Sketch
    Direct Proportion Cosine Rules Construction of Quadrilaterals
    Right Circular Cylinder Hexadecimal number system Remainder Theorem
    Volume of a Prism Missing Numbers Sec 90
    Derivatives Multiple of 9 Metric System of Measurement
    Parallelogram, Trapezium and Kite Cumulative Frequency Distribution Ratio to Percentage
    Factors of 98 Total Probability Theorem Commutative Property
    Basic Set Theory Difference Between Area and Surface Area Identity Function
    Geometric Distribution Combination Sum of Squares
    Factors of 25 Triangle Inequality Complement of a Set
    Factor of 105 Arc Categorical Data
    Construction of a Rhombus Hexadecimal to Octal Conversion Decimal Expansion of Rational Numbers
    Distance Between Two Points Estimation of Numbers Multiplication Theorem of Probability
    Properties of Definite Integrals Right Angle Triangle Theorem Section Formula in 3 Dimension
    Solids Trigonometric Equations Variance and Standard Deviation
    Disjoint Set Application of Linear Equations Area and Perimeter
    Factors of 91 Concave Polygon Factors of 42
    General Equation of a Line Factors of 100 Factors of a Number
    Multiplicative Inverse Linear Differential Equations Inverse Cosine
    Comparing Quantities using Percentage Fractional Part Function Definition of Signum function
    Trigonometric Functions Ellipse Integration By Parts
    Sets Matrix Types of Sets
    Bijective Functions Algebra of Functions Composite Functions
    Binary Operations Domain Codomain & Range Functions Parametric Equation of a Circle
    Venn Diagram Tangent to a Circle Binomial Theorem
    L'Hospital Rule Relations Operation on Sets
    Particular Cases of a Circle Terms Related to an Ellipse Equality of Matrices
    Reflexive, Symmetric & Equivalence Relation Types of Functions Matrix Multiplication
    Tangents to an Ellipse Inverse Trigonometric Functions  
    Active Transport Adaptive radiation evolution Aerobic and Anaerobic Respiration
    Agricultural Implements Algae Alimentary Canal Anatomy
    Angiosperms And Gymnosperms Difference Animal Cell Apiculture Beekeeping
    Apoplast Asexual Reproduction Animals Autotrophic Nutrition
    Biodiversity Biotic and Abiotic Bryophyta
    Budding Camouflage Cattle Farming Animal Husbandry
    Cell Structure and Function Cell Wall and Cell Membrane Cells
    Chloroplasts Chromatin Classification of Animal Kingdom
    Composition of Lymph Conduction of Nerve Impulse Cyclic and Non Cyclic 
    Cyclic Photophosphorylation Cytoplasm Structure Function Difference Between Active and Passive Transport
    Difference Between Archaea And Bacteria Difference Between Blood And Lymphth Difference Between Cerebellum And Cerebrum
    Difference Between Chromosome And Chromatid Difference Between Diffusion and Osmosis Difference Between DNA and RNA
    Difference Between Haploid And Diploid Difference Between Plant Cell and Animal Cell Difference between Renewable and Non Renewable Resources
    Difference Between Unicellular And Multicellular Organisms Difference Between Vertebrates and Invertebrates Difference between Voluntary and Involuntary Muscles
    Difference Between Xylem and Phloem Different Types Ecological Pyramids Diffusion - Means of Transport
    Disadvantages of Dams Ecology Endemic Species
    Endocrine System Ductless Glands Energy Flow In Ecosystem Excretion and Its Importance
    Food Production Food Web Fragmentation
    Gemmules Gibberellins Grassland Adaptations
    Guttation Gymnosperms Harmful Microorganisms
    Homeostasis Human Body Anatomy Human Heart
    Invertebrates Kingdom Monera Protista Fungi Law of Segregation and Law of Dominance
    Life process Light-dependent Reactions Lipids
    Living Things Macromolecule Meiosis 1 Stages and Process
    Mendelian Disorders Microbodies Modern Synthetic Theory of Evolution
    Monera Nephron Function Renal Tubules Nuclear Membrane
    Nucleolus Nucleus Our Environment
    Parasitism Parts of Plants Passive Transport
    Plant Cell Plant Kingdom Plantae Plant Respiration
    Plants Plastids Protista
    Red Data Book Reproductive System of Earthworm Ribosomes
    Scientific Names of Animals and Plants Seed germination Sensory Perception
    Snail Skeletal System Spermatogenesis Structure Of Eye
    Taxonomic Hierarchy Taxonomy Algae
    Thallophyte Types of Soil Vacuoles
    What Is Adaptation Agricultural Practices Animal Kingdom
    Alimentary Canal Coelenterata Conservation of Forest and Wildlife
    Difference between Endosmosis and Exosmosis Difference between Afforestation and Deforestation Difference between Algae and Fungi
    Difference between Cereals and Pulses Difference Between Fragmentation and Regeneration Difference Between Neurosis and Psychosis
    Difference Between Nucleotide and Nucleoside Difference Between Sea and Ocean Difference Between Turtles and Tortoises
    Difference Between Wildlife Sanctuary and National Park Modes of Plant Reproduction Ecological Pyramid and Its Types
    Double Fertilization in Angiosperms Ecosystem Enzymes
    Fertilisation in Plants Five Kingdoms Classification Flower
    Ganongs Potometer Health and Hygiene Herbivores and Carnivores
    Heterotrophic Nutrition Human Digestive System Vertebrates and Invertebrates
    Morphology of Leaves Modifications of Root Phylum Aschelminthes
    Diffusion Osmosis Prokaryotic Cells
    Reproduction Flora And Fauna Overview of Food Chain
    Difference Between Rabi And Kharif Crops Vegetative Propagation Angiosperms Characteristics
    Soil Profile Types of Pollution Human Excretory System
    Sense Organs Rainwater Harvesting Prokaryotic And Eukaryotic Cells
    Living And Non Living Things The Nucleus Irrigation
    Endoplasmic Reticulum Difference Between Data And Information Mitochondria
    Nitrogen Cycle Diagram of Animal Cell Meristematic Tissue
    Law of Segregation Law of Dominance Eukaryotic Cells Food Sources Animal Plant Products
    Photosynthesis Respiration Ozone Layer Depletion
    Kingdom Fungi Aerobic Anaerobic Respiration Cell Organelles
    Peristalsis Bacteria Oogenesis
    Leaves Morphology Types Modification Mitosis and Meiosis Dna Structure
    How Do Organisms Reproduce Diagram of Stomata Monohybrid Cross Inheritance One Gene
    Mechanism of Breathing Soil Erosion Plasmolysis
    Urine Formation Osmoregulation Porifera Flagella
    Amoeba Aerobic Respiration Pteridophyta
    Arteries And Veins Difference Reflex Action Stomata
    Cell Wall Diagram of Neuron A Guide To Composition And Function Of Lymph
    Difference Between Ligaments And Tendons Insectivorous Plants Nutrition Modes Living Organisms
    Mendel Laws Of Inheritance Nutrition In Amoeba Calorific Value
    Air Pollution Control Fertilization In Plants Life Processes
    Binary Fission Omnivores Saprophytes
    Asexual Reproduction Deficiency Diseases Light Reaction Vs Dark Reaction
    Global Warming Wildlife Sanctuary Viviparous Oviparous Embryo Development
    Glycolysis Food Preservation Methods Food Poisoning Crops
    Biofertilizers Biodiversity Conservation Difference Between Endocrine And Exocrine Glands
    Greenhouse Effect Gases Diagram Of Digestive System Crop Production And Management
    Types Of Pollination Introduction and Characteristics of Living Beings Meristematic Cells
    Taxonomical Aids _Flora, Manual, Monograph And Catalogues Types of leaves structure of skeletal muscle
    spirometry human respiratory system herbarium
    dinoflagellates general characters and structure of leaf halophiles and their features
    Exchange of Gases Simple Permanent tissue Morphology of root and its types
    Complex permanent tissues Regions of Root History of classification and its need
    Breathing And Exchange Of Gases Transport of Gases Regulation of Respiration
    Disorders of Respiratory System Interaction of Haemoglobin with Other Gases Amniocentesis
    Anatomy of flowering plants ASSISTED REPRODUCTIVE TECHNOLOGIES (ARTs) Meristematic Cells
    Phloems Population explosion Reproductive Health
    RCH (Reproductive and Child Health Care) Medical termination of Pregnancy (MTP) Plant kingdom
    Biological Systems of Classification & Branches of Taxonomy Pteridophytes Gymnosperms
    Angiosperms Life cycle Patterns Anatomy of Roots
    Contraceptives Anatomy of stem Algae
    Bryophytes Tissues and its types STDs (Sexually Transmitted Diseases)
    Cell - The Basic Unit of Life & its Historical background Cell theory and its modification An Overview of Cell
    Secondary growth in dicot stem Tissue system and types Prokaryotic (Bacterial) cell
    Ribosomes Eukaryotic cell Cell: The basic unit of life
    Cytoskeleton Centrosome and Centriole Cilia and flagella
    Nucleus Chromosomes Evolution
    Movement and Locomotion Human Reproduction Absorption and Translocation of Solutes
    Soil as a reservoir of Essential Elements LOCOMOTION AND MOVEMENT Mechanism of Muscle Contraction
    Morphology in Flowering Plants Contractile proteins Muscular System
    Thyroid Puberty Hormones
    Origin of Universe Hypothalamus Cell wall
    Mitochondria Special Chromosomes Microbodies
    Introduction, Hydroponics and the study of mineral requirements of the plants Criteria of essentiality and Categorisation of Essential elements Deficiency symptoms of essential elements and toxicity
    The Stem The Root Cytoplasm and cell membrane
    Mineral Nutrition Disorders Related To Reproductive System Phylum Ctenophora
    Role of Macronutrients Role of Micronutrients Phylum - Coelenterata / Cnidaria
    Reptilia Aves Mammalia
    Anatomy of the leaf Animal kingdom Phylum Annelida
    Phylum Mollusca Phylum Echinodermata Vertebrata
    Chordates Disorders of circulatory system Abiotic Factors
    Male Reproductive System Kingdom Animalia Responses to Abiotic Factors
    Female Reproductive System Mammary Glands Pregnancy and Embryonic Development
    Cell Cancer Disorders of the Digestive System
    Infertility Morphology of Cockroach Blood and Plasma
    Alternation of Generations and Classification Predation Phaeophyceae and Rhodophyceae
    Phylum Coelenterata Phylum Porifera Phylum Platyhelminthes
    Chromosomal Disorders Competition Taxonomic Aids
    Alternation of generation in Pteridophytes Disorders of muscular and skeletal system General Characteristics of Living
    Digestive Glands Stomach Testis
    Buccal cavity Seed Common Diseases in Humans
    Permanent Tissue Permanent Tissues Xylem Pteridophytes Characteristics
    Parasitism and Commensalism Water Pollution and Its Control Differentiation, Dedifferentiation and Redifferentiation
    Organism and its Environment Carbohydrates Greenhouse Effect Gases
    Amino Acids
     
    Dynamic State of Body Constituents Photosynthesis Chloroplast
    Features of Living Beings Blood Group  Lipids
    Kingdom Protista dense connective tissue connective tissue cartilage
    connective tissue blood plant cell viruses
    the stem Connective Tissue Bone Viroids Prions Lichens
    Animal cell Prokaryotic Cell Taxonomic Aids Herbarium and Museum
    Sphygmomanometer and ECG Population Attributes Noise pollution
    Diaphragm Parts of a Plant Photoperiodism
    Poultry Farming Nucleic Acids Cell Cycle
    Principles of Biotechnology Antibiotics IVF
    Glands Kranz Anatomy Sexual Reproduction in Plants
    Cytokinin Plant Development Biofertilizers
    Photorespiration Auxin Nutrient Cycling
    Types of Flowers Taxonomic Hierarchy and Categories Epidermal Tissue System
    Calyx and Corolla Ethylene Fertilization and Implantation
    Types of Fruits Inflorescence Types of Growth
    Macronutrients Family Liliaceae ETC and Oxidative Phosphorylation
    Classification of Wood Ground Tissue System Secondary Growth in Stem
    Plant Vascular System Electron Transport System Transpiration
    Difference Between Types of Cells Ovary Structure Birth Control
    Epithelial Tissue Endomembrane System Cell Envelopes and Cell Membrane
    Muscle Types Axial Skeleton Acquired Immunity
    Lung Volumes and Capacities Suspension and Migration Prokaryotic Cells
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