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Home » Important Concept » What is Speed – Definition, Types, Applications, Formulas

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    What is Speed – Definition, Types, Applications, Formulas

    Speed is a fundamental concept in physics that describes how quickly an object moves from one point to another. It measures the rate at which distance is covered over time. Read further to know the definition, types and applications of the concept of Speed in Physics.

    by Simran
    1 year ago
    in Important Concept
    What is Speed?

    What is Speed?

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    Speed Definition

    Speed is a fundamental concept in physics that describes how quickly an object moves from one point to another. It measures the rate at which distance is covered over time. Understanding speed is crucial in various fields, from everyday activities like driving to complex scientific studies. This article gives detailed information on the definition of speed, the different types of speed, its applications in real life, and the formulas used to calculate it. By grasping these concepts, you can better appreciate how speed affects the world around us.

    What is Speed?

    Speed measures how quickly an object changes its position or travels a certain distance. It’s a straightforward concept that tells us how fast something is moving. For instance, if a cyclist covers 60 kilometers in 2 hours, their speed is 30 kilometers per hour.

    Speed is a scalar quantity, which means it only tells us how fast something is going without considering direction. It is typically expressed in units like kilometers per hour (km/h) or meters per second (m/s). In everyday situations, we use speed to gauge how quickly we get from one place to another, whether we’re driving, walking, or cycling.

    In science and engineering, speed is used to analyze and predict the behavior of objects in motion. For example, understanding the speed of a moving vehicle helps in designing safer roads, while knowing the speed of a plane aids in planning flight routes. Speed also plays a key role in sports, where athletes aim to maximize their speed for better performance. Overall, speed is a fundamental concept that impacts many aspects of our daily lives and various scientific disciplines.

    Types of Speed

    Speed can be understood in several ways, depending on how it is measured and how it changes.

    Average speed refers to the overall rate at which an object moves over a period of time. It is calculated by dividing the total distance traveled by the total time taken. For example, if you travel 150 kilometers in 3 hours, the average speed gives a general idea of how fast you were going over that entire journey, even if your speed varied at different times.

    Instantaneous speed measures how fast an object is moving at a specific moment. This is what you see on your car’s speedometer—it tells you the speed at that exact point in time, such as 80 km/h. Unlike average speed, instantaneous speed reflects the current rate of motion and can change from moment to moment.

    Uniform speed occurs when an object moves at a constant rate, covering equal distances in equal intervals of time. A good example of uniform speed is a train moving steadily at 100 km/h on a straight track without accelerating or decelerating. This type of speed remains constant throughout the movement.

    Variable speed is when the speed of an object changes over time. This means the object might speed up, slow down, or vary its speed in different ways. For instance, a car that accelerates from 0 to 60 km/h and then slows down to 30 km/h is experiencing variable speed. This type of speed is common in everyday activities where acceleration and deceleration are frequent.

    Each type of speed helps us understand different aspects of motion, from the overall average of a journey to the precise rate of movement at a given moment, and from steady, constant motion to changing speeds.

    Speed Formula and Calculations

    The basic formula for calculating speed is:

    Where:

    • Speed is the rate at which distance is covered.
    • Distance is the total length of the path traveled.
    • Time is the duration taken to cover that distance.

    To find the speed, simply divide the distance by the time. For example, if you travel 100 meters in 20 seconds, the speed is:

    Units of Speed in Physics

    Speed is measured using different units depending on the situation and region. Here are the most common units used:

    Meters per Second (m/s)

    • Usage: This unit is frequently used in scientific studies and everyday measurements, especially when dealing with smaller distances or speeds. For instance, in physics experiments or calculations involving short distances, meters per second provides a precise measurement of speed. It helps in understanding the speed of objects like particles or small vehicles.

    Kilometers per Hour (km/h)

    • Usage: Kilometers per hour is commonly used for measuring road speeds, particularly in countries that follow the metric system. This unit is practical for everyday use, such as when you’re driving a car or checking the speed limit on highways. It helps in determining how fast a vehicle is moving over long distances.

    Miles per Hour (mph)

    • Usage: Miles per hour is primarily used in the United States and the United Kingdom for road speeds. This unit is familiar to many drivers in these countries and is used to indicate speed limits and vehicle speeds. It helps in understanding and comparing speeds in regions where miles are the standard unit of distance.

    Each unit of speed provides a way to quantify and compare how fast something is moving, making it easier to understand and apply speed measurements in various contexts.

    Speed in Different Types of Motion

    Speed varies depending on the type of motion an object is undergoing. Here are the main types of motion and how speed plays a role in each:

    Uniform Motion

    • Description: In uniform motion, an object moves at a constant speed in a straight line. The speed remains the same throughout the motion.
    • Example: A car traveling at a steady 60 km/h on a straight road is an example of uniform motion. Here, the speed is constant, and there are no changes in direction or speed.

    Accelerated Motion

    • Description: Accelerated motion occurs when an object’s speed increases over time. This means the object is getting faster as it moves.
    • Example: A bicycle speeding up as it goes downhill demonstrates accelerated motion. The bike’s speed increases as it moves down the hill due to gravity.

    Decelerated Motion

    • Description: In decelerated motion, an object’s speed decreases over time. This means the object is slowing down.
    • Example: A car slowing down as it approaches a red traffic light is experiencing decelerated motion. The speed decreases as the car comes to a stop.

    Variable Speed Motion

    • Description: Variable speed motion involves changes in speed as the object moves. The speed may increase and decrease at different times.
    • Example: A runner sprinting, then slowing down, and sprinting again shows variable speed motion. The speed changes throughout the run depending on the runner’s effort and terrain.

    Different Tools and Techniques to Measure Speed

    Several tools and techniques are used to measure speed accurately in various situations. Here’s a look at some common ones:

    Speedometers

    Speedometers are devices built into cars and bikes to measure the vehicle’s speed in real-time. They typically show the speed in kilometers per hour (km/h) or miles per hour (mph). Speedometers help drivers keep track of how fast they are going and ensure they stay within speed limits.

    Radar Guns

    Radar guns are used by law enforcement to measure the speed of moving vehicles, especially on highways. They work by emitting a radar signal that bounces off the moving vehicle. By analyzing the changes in the signal’s frequency, known as the Doppler shift, the radar gun can calculate the vehicle’s speed.

    GPS Devices

    GPS devices calculate speed by tracking the time it takes for a vehicle or person to travel between two locations. They use data from satellites to determine exact positions and measure how quickly the object is moving from one point to another. This method is useful for tracking speed over longer distances and provides accurate readings.

    Tachometers

    Tachometers measure the speed of rotating objects, such as a car’s engine. Instead of measuring speed in km/h or mph, they show how many revolutions per minute (RPM) the engine is making. This information is crucial for understanding engine performance and ensuring it operates efficiently.

    Key Differences Between Speed and Velocity

    Speed and velocity are often used interchangeably, but they have distinct meanings in physics. Here’s a detailed explanation of their differences, followed by a tabular representation for clarity.

    Speed is a scalar quantity that measures how fast an object is moving, regardless of direction. It only has magnitude and tells us the rate at which distance is covered.

    Velocity, on the other hand, is a vector quantity that includes both magnitude and direction. It describes how fast an object is moving in a specific direction.

    Aspect Speed Velocity
    Definition How fast an object is moving. Speed in a specific direction.
    Quantity Type Scalar (only magnitude). Vector (magnitude and direction).
    Direction Does not consider direction. Includes direction.
    Calculation Total distance / Total time. Displacement / Total time.
    Variability Can be constant or variable, regardless of direction. Changes with speed or direction changes.

    Applications of Speed in Real Life

    Speed plays a vital role in various aspects of everyday life and professional fields. Here’s a detailed look at its applications:

     

    Field Application Examples
    Transportation Speed impacts travel times and safety on roads and in the air. Speed limits are set on roads to ensure safe driving conditions and reduce accidents. In aviation, aircraft speeds are calculated to ensure safe and timely flights.
    Sports Speed is a key factor in athletic performance, determining success in competitions. Sprinters, swimmers, and cyclists rely on their speed to outperform competitors and achieve their best times. Training often focuses on increasing speed to enhance performance.
    Engineering Speed calculations are crucial in designing and operating machinery and systems. Engineers use speed data to ensure that engines, turbines, and other rotating machinery operate efficiently and safely. For example, the speed of a conveyor belt in a factory must be accurately controlled to maintain production rates.

    Different Factors Affecting Speed

    Several factors can influence how fast an object moves. Here’s a closer look at the main ones:

    Friction

    Friction is the resistance that occurs when two surfaces rub against each other. It can slow down moving objects by opposing their motion. For example, a car driving on a rough road will experience more friction than one on a smooth highway, which can reduce its speed.

    Air Resistance

    Air resistance, or drag, is the force that acts against an object moving through the air. It increases with the speed of the object and its surface area. For instance, a bicycle rider will face more air resistance when riding fast, and a parachute significantly increases air resistance, slowing down the descent of a skydiver.

    Incline

    When moving uphill, more effort is needed to overcome gravity, which can reduce the speed compared to traveling on a flat surface. Climbing a steep hill requires more power, and thus, the speed is generally lower compared to moving on a level road.

    These factors can all affect how fast an object can travel, whether it’s a vehicle on the road, a person running, or an object falling through the air.

    Speed in Physics Equations and Formulas

    Formula Description Example
    Speed = Distance / Time This basic formula calculates the average speed by dividing the total distance traveled by the total time taken. If a car travels 150 kilometers in 3 hours, its average speed is 50 km/h.
    Instantaneous Speed = ds / dt This formula finds the speed at a specific moment, where ds is a tiny change in distance and dt is a tiny change in time. To find the speed of a car at a precise moment, you measure the distance it covers in a very short time interval.
    Average Speed = Total Distance / Total Time Used to determine the average speed over a period, accounting for any variations in speed. For a journey where you travel 200 kilometers over 4 hours, the average speed is 50 km/h.
    Speed = Distance Covered / Time Taken Similar to the average speed formula, used to find out how fast something is moving over a specific distance and time. If you walk 10 kilometers in 2 hours, your speed is 5 km/h.

    Common Misconceptions About Speed

    Speed vs. Velocity 

    A common mistake is confusing speed with velocity. Speed measures how fast something is moving, but it doesn’t consider direction. For example, if you’re driving at 60 km/h, that’s your speed. Velocity, on the other hand, includes both speed and direction. If you’re driving north at 60 km/h, your velocity is 60 km/h north. This distinction is important in physics and everyday situations because velocity tells you not just how fast you’re going, but also where you’re headed.

    Speed and Acceleration 

    Another misconception is thinking speed and acceleration are the same. Speed tells us how fast an object is moving, while acceleration describes how quickly the speed of an object is changing. For example, if a car is speeding up from 0 to 60 km/h, it is accelerating. Acceleration measures the rate of change in speed, not just how fast the object is moving at any given moment.

    What is Speed in Physics? FAQs

    Q1. What is the definition of speed in physics?

    Speed in physics is the measure of how quickly an object moves or changes its position. It is a scalar quantity that represents the rate at which distance is covered over time, without considering direction.

    Q2. What is the difference between speed and velocity?

    Speed is the rate of motion without considering direction, while velocity includes both the rate of motion and the direction. For example, traveling at 60 km/h north is velocity, while 60 km/h alone is speed.

    Q3. What units are commonly used to measure speed?

    Speed is commonly measured in meters per second (m/s) in scientific contexts, and in kilometers per hour (km/h) or miles per hour (mph) for everyday use, such as in vehicle speedometers.

    Q4. What factors can affect an object's speed?

    Factors affecting speed include friction, which resists motion; air resistance, which opposes objects moving through air; and incline, which can slow down an object moving uphill compared to a flat surface.

    Q5. How is average speed calculated?

    Average speed is calculated by dividing the total distance traveled by the total time taken. It provides an overall measure of how fast an object was moving over a period, regardless of any variations in speed.

     

    Tags: Application of SpeedDefinition of SpeedType of SpeedWhat is Speed - DefinitionWhat is Speed?
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    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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