The following Topics and Sub-Topics are covered in this chapter and are available on MSVgo:

**Introduction**

**Electric Charge**

**Conductors and Insulators**

**Charging by Induction**

**Coulomb’s Law**

**Forces Between Multiple Charges**

**Basic Properties of Electric Charge**

**Electric Field**

**Electric Dipole**

**Gauss’s Law**

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**Introduction**

**Potential**

**Equipotential Surface**

**Potential Energy**

**Polarisation**

**Capacitor**

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**Introduction**

**About Current Electricity**

**Ohm’s Law**

**Kirchhoff’s Rules**

**Resistance and Resistivity**

**Factors on which Resistivity Depends**

**What is a Potentiometer?**

**Resistors in Series and Parallel**

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**Introduction**

**Magnetic Force**

**Motion In A Magnetic Field**

**Motion In Combined Electric And Magnetic Fields**

**Ampere’s Circuital Law**

**The Solenoid And the Toroid**

**Force Between Two Parallel Currents**

**The Moving Coil Galvanometer**

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**Introduction**

**What happens to the dipole moment of a magnet?**

**Magnetic Field Lines**

**Earth’s Magnetism**

**The Magnetization and Magnetic Intensity**

**Hysteresis Curve**

**Relative Magnetic Permeability**

**Magnetic Intensity**

**Magnetic Susceptibility**

**Curie’s Law in Magnetism**

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**Introduction**

**Electromagnetic Induction**

**Magnetic Flux**

**Faraday’s Law of Electromagnetic Induction**

**Lenz’s Law**

**Eddy Currents**

**Inductance**

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**Introduction**

**Alternating Current Vs Direct Current**

**Generation of Alternating Voltage and Current**

**Alternating Current Waveform**

**Important Questions**

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**Topic 1: Introduction**

**Topic 2: Applications of electromagnetic waves**

**Topic 3: Displacement Current**

**Topic 4: Electromagnetic Waves**

**Topic 5: Conclusion**

The following Topics and Sub-Topics are covered in this chapter and are available on MSVgo:

**Topic 1: Introduction**

**Topic 2: Reflection of light by spherical mirrors**

**Topic 3: Refraction**

**Topic 4: Refraction at Spherical Surfaces and by Lenses**

**Topic 5: Dispersion by a prism**

**Topic 6: Optical Instruments**

**Topic 7: Conclusion**

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**Topic 1: Introduction**

**Topic 2: Huygens Wave Theory**

**Topic 3: Maxwell Electromagnetic Theory**

**Topic 4: Wavefront and Wave Normal**

**Topic 5: Coherent and Incoherent Sources**

**Topic 6: Principle of Superposition**

**Topic 7: Plane Polarized Light**

**Topic 8: Properties of Waves**

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**Introduction**

**Electron Emission**

**Photoelectric Effect**

**Experimental Study Of Photoelectric Effect**

**Effect of Intensity of Light on Photocurrent**

**Effect of Potential on Photoelectric Current**

**Effect of Frequency of Incident Radiation on Stopping Potential**

**Einstein’s Photoelectric Equation**

**Wave Nature of Matter**

**Dual Nature of Radiation and matter**

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**Introduction**

**Atomic Structure**

**Alpha Particle Experiment**

**Electron Orbits**

**Atomic Spectra**

**Spectral Series**

**Bohr Model of The Hydrogen Atom**

**Energy Levels**

**The Line Spectra Of The Hydrogen Atom**

**De Broglie’s Duality concept**

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**Introduction**

**What is Nuclei?**

**Atomic Masses and Composition of Nucleus**

**Mass Energy and Nuclear Binding Energy**

**Nuclear Force**

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**Introduction**

**Categories of Semiconductors**

**Some examples of semiconductor device**

**Applications of Semiconductor Devices**

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**Introduction**

**Physical and chemical properties of solids**

**Solid State Chemistry**

**Types of solid states**

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**Topic 1: Introduction**

**Topic 2: Types of Solutions**

**Topic 3: Expression Of Concentration Of Solutions**

**Topic 4: Determination Of Molecular Weight Using Colligative Properties 100**

**Topic 5: Conclusion**

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**Introduction**

**Electrochemical Cells**

**Nernst Equation**

**Electrolysis**

**Types of commercial cells**

**Fuel Cells**

**Corrosion**

**The Conductance Of Electrolytic Solutions**

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**Introduction**

**Rate of a Reaction**

**Unit of the Rate of Reaction**

**Order of a Reaction**

**Molecularity of a Reaction**

**Factors Affecting the Rate of a Reaction**

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**Introduction**

**Adsorption in Surface Chemistry**

**Catalysis**

**Colloids**

**Emulsions**

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**Introduction**

**Characteristics of P-Block Elements**

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**Introduction**

**What are Transition Elements?**

**Position in the Periodic Table**

**Electronic Configurations of the d-Block Elements**

**Electronic Configurations of the f-Block Elements**

**General Properties of the Transition Elements**

**Characteristics of Inner Transition Elements**

**Frequently Asked Questions**

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**Introduction**

**What are Coordination Compounds?**

**Nomenclature of Coordination Compounds**

**Isomerism in Coordination Compounds**

**Importance and Applications of Coordination Compounds**

**Frequently Asked Questions**

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**Introduction**

**Haloalkanes & Haloarenes**

**Definition of Haloalkanes**

**Definition of Haloarenes**

**Classification of Haloalkanes & Haloarenes**

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**Introduction**

**Alcohol Structure and Types**

**Phenol Structure and Types**

**Ether Structure and Types**

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**Introduction**

**What are Aldehydes, Ketones, and Carboxylic Acids?**

**Nomenclature and Structure of Carbonyl Group**

**Structure of Carbonyl Group**

**Preparation of Aldehydes and Ketones**

**Carboxylic Acids**

**Nomenclature and Structure of Carboxyl Group**

**Methods of Preparation of Carboxylic Acids**

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**Introduction**

**Structure of Amines**

**Classification of Amines**

**Physical Properties**

**Uses of Amines**

**Preparation of Amines**

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**Introduction**

**Carbohydrates**

**Monosaccharides**

**Oligosaccharides**

**Polysaccharides**

**Proteins**

**Classification of Amino acids**

**Nucleic Acid**

**Chemical composition of nucleic acid**

**Lipids**

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**Introduction**

**Types Of Reproduction**

**Modes Of Reproduction**

**Fragmentation**

**Sporogenesis**

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**Introduction**

**Evolutionary Genetics**

**Importance of Evolution**

**Mechanisms of Evolution**

**Mechanism of Genome Evolution**

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**Introduction**

**Human Health and Diseases**

**Life Cycle Of Plasmodium**

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**Introduction**

**Application of Biotechnology in Agriculture**

**Application of Biotechnology in Medicine**

**Application of Biotechnology in the Creation of Transgenic Animals**

**Application of Biotechnology in Aquaculture**

**Ethics of Biotechnology**

**Biopiracy**

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**Introduction**

**Introduction to Ecology**

**Important Concepts of Ecology**

**Important Concepts of Environment**

**Abiotic Factors**

**Responses to Abiotic Factors**

**Biological Interactions**

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**Introduction**

**Fundamental Forces in Nature**

**Conservation Laws**

**FAQ**

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**Introduction**

**Systems of Units**

**SI Unit System**

**Measurement of Length**

**Measurement of Mass**

**Measurement of Time**

**Accuracy, Precision, and Errors in Measurement**

**Significant Figures**

**Dimensions of Physical Quantities**

**FAQs**

The following Topics and Sub-Topics are covered in this chapter and are available on MSVgo:

**Introduction**

**Position, Path Length and Displacement**

**Velocity and Speed of Motion**

**Relative Velocity**

**Acceleration of Motion**

**Frequently Asked Questions**

The following Topics and Sub-Topics are covered in this chapter and are available on MSVgo:

**Introduction**

**Motion in a plane**

**What is Relative Motion?**

**What is Projectile Motion?**

**FAQs for Motion in a Plane**

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**Introduction**

**Newton’s First Law of Motion**

**Newton’s Second Law of Motion**

**Newton’s Third Law of Motion**

**FAQs for Laws of Motion**

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**Introduction**

**Kinetic Energy**

**The Concept of Potential Energy**

**The Conservation of Mechanical Energy**

**The Potential Energy of a Spring**

**Various Forms of Energy The Law of Conservation of Energy**

**Collisions**

**Frequently Asked Questions (FAQs)**

The following Topics and Sub-Topics are covered in this chapter and are available on MSVgo:

**Introduction**

**System of particles and rotational motion**

**Centre of Mass**

**Centre of Mass of Two Particle System**

**Linear Momentum of System of Particles**

**Moment of Inertia**

**Theorem of Perpendicular Axes**

**Theorem of Parallel Axes**

**FAQ**

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**Introduction**

**Newton’s law of gravitation**

**Kepler’s laws of planetary motion**

**Acceleration due to gravity**

**Variation of acceleration due to gravity**

**Gravitational field**

**Escape velocity**

**Frequently asked questions (FAQs)**

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**Introduction**

**Elastic behavior of solids**

**Stress and strain**

**Hooke’s law**

**Stress-strain curve**

**Applications of elastic behavior of materials**

**Frequently asked questions**

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**Introduction**

**Pressure and its applications**

**Pascal’s law**

**Streamline flow**

**Bernoulli’s principle and equation**

**Viscosity**

**Surface tension**

**FAQs**

The following Topics and Sub-Topics are covered in this chapter and are available on MSVgo:

**Introduction**

**Heat capacity**

**Thermal expansion**

**Thermal conductivity**

**Thermal stress**

**FAQs**

The following Topics and Sub-Topics are covered in this chapter and are available on MSVgo:

**Introduction**

**Kinetic theory**

**Molecular nature of matter**

**Behaviour of gases**

**Kinetic theory of an ideal gas**

**Law of equipartition of energy**

**Specific heat capacity**

**Mean free path**

**Kinetic molecular theory**

**FAQs**

The following Topics and Sub-Topics are covered in this chapter and are available on MSVgo:

**Introduction**

**Molecular Nature Of Matter**

**Behaviour Of Gases**

**Kinetic Theory Of An Ideal Gas**

**Law Of Equipartition Of Energy**

**Specific Heat Capacity**

**Mean Free Path**

**Kinetic Molecular Theory**

**FAQs**

The following Topics and Sub-Topics are covered in this chapter and are available on MSVgo:

**Introduction**

**Periodic And Oscillatory Motions**

**Simple Harmonic Motion**

**Simple Harmonic Motion And Uniform Circular Motion**

**Velocity And Acceleration in Simple Harmonic Motion**

**Force Law For Simple Harmonic Motion**

**Energy In Simple Harmonic Motion**

**Some Systems Executing (SHM) Simple Harmonic Motion**

**Damped Simple Harmonic Motion**

**Forced Oscillations And Resonance**

**FAQs**

The following Topics and Sub-Topics are covered in this chapter and are available on MSVgo:

**Introduction**

**Properties of Waves**

**Types of Waves**

**FAQs**

The following Topics and Sub-Topics are covered in this chapter and are available on MSVgo:

**Introduction**

**Properties of Matter and Their Measurement**

**Dalton’s Atomic Theory**

**Atomic and Molecular Masses**

**FAQs**

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**Introduction**

**Atomic Models**

**Dalton’s Atomic Theory**

**Thomson Atomic Model**

**Rutherford Atomic Theory**

**Limitations of Rutherford Atomic Model**

**Subatomic Particles**

**Atomic Structure Of Isotopes**

**Bohr’s Atomic Theory**

**Dual Nature Of Matter**

**FAQs**

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**Introduction**

**Dobereiner’s Triads**

**Newland’s Octaves**

**Mendeleev’S Periodic Table**

**Frequently Asked Questions (FAQs)**

The following Topics and Sub-Topics are covered in this chapter and are available on MSVgo:

**Introduction**

**What is Chemical Bond?**

**Octet Rule**

**Types of Chemical Bond**

**Valence Shell Electron Pair Repulsion Theory (VSEPR Theory)**

**Valence Bond Theory**

**Hybridisation**

**Molecular Orbital Theory**

**Hydrogen Bonding**

**Frequently Asked Questions**

The following Topics and Sub-Topics are covered in this chapter and are available on MSVgo:

**Introduction**

**Solids**

**Liquids**

**Homogeneous Equilibrium**

**Gases**

**Bose-Einstein Condensates**

**Conclusion**

**Frequently Asked Questions**

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**Introduction**

**Statistical Thermodynamics**

**Equilibrium Thermodynamics**

**Thermodynamic Systems**

**Thermodynamic Properties**

**Thermodynamic Potentials**

**Frequently Asked Questions**

The following Topics and Sub-Topics are covered in this chapter and are available on MSVgo:

**Introduction**

**What is Chemical Equilibrium?**

**Different Types of Chemical Equilibrium**

**Homogeneous Equilibrium**

**Heterogeneous Equilibrium**

**Factors Affecting Chemical Equilibrium**

**Concentration**

**Pressure**

**Factors Affecting Chemical Equilibrium**

**Temperature**

**Catalyst**

**Frequently Asked Questions**

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**Introduction**

**What do you mean by Oxidation and Reduction Reaction?**

**The various types of redox reactions**

**Have a look at two examples of Redox Reactions-**

**What is Balancing Redox Reaction?**

**Frequently Asked Questions**

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**Introduction**

**Where does hydrogen stand in periodic table?**

**Properties of hydrogen**

**Isotopes of hydrogen**

**Allotropes of hydrogen**

**Different forms of hydrogen**

**Methods of preparation of hydrogen**

**Chemical reactions of hydrogen**

**FAQ**

The following Topics and Sub-Topics are covered in this chapter and are available on MSVgo:

**Introduction**

**S-Block of the periodic table**

**Alkali metals and Alkaline Earth metals**

**Electronic configuration of S block elements**

**Properties of S Block Elements**

**Frequently Asked Questions**

The following Topics and Sub-Topics are covered in this chapter and are available on MSVgo:

**Introduction**

**P-Block Elements**

**Characteristics of P-Block Elements**

**Frequently Asked Questions**

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**Introduction**

**Classification of Organic compounds**

**Isomerism**

**Fundamental Concepts in Organic Reaction Mechanism**

**Qualitative Analysis of Organic Compounds**

**FAQs**

The following Topics and Sub-Topics are covered in this chapter and are available on MSVgo:

**Introduction**

**What are Hydrocarbons?**

**Types of Hydrocarbons**

**Properties of Hydrocarbons**

**FAQs**

The following Topics and Sub-Topics are covered in this chapter and are available on MSVgo:

**Introduction**

**Types of sets**

**Domain Co Domain and Range of a Function**

**Functions in Maths**

**FAQs**

The following Topics and Sub-Topics are covered in this chapter and are available on MSVgo:

**Introduction**

**Basics of Algebra**

**Exponents and Laws of Exponents**

**Laws of Exponents**

**Multiplication Of Algebraic Expressions**

**Multiplication of two monomials**

**Multiplication of Two Binomials**

**FAQs**

The following Topics and Sub-Topics are covered in this chapter and are available on MSVgo:

**Introduction**

**Cartesian System**

**Cartesian Plane & Coordinate Axes**

**Cartesian Plane in One Dimension**

**Cartesian Plane in Two Dimensions**

**Cartesian Plane in Three Dimensions**

**Equation of a Line in Cartesian Plane**

**Quadrants**

**The Coordinate Plane**

**FAQs (Frequently Asked Questions)**

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**Introduction**

**Classifications of Calculus**

**Basics of Differential Calculus**

**Derivatives**

**Basics of Integral Calculus**

**Differentiation and Integration**

**Limits**

**Frequently Asked Questions**

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**Introduction**

**Addition Rule of Probability**

**Binomial Probability**

**Bayes Theorem**

**Compound Events**

**Compound Probability**

**Complementary Events**

**Conditional Probability**

**Coin Toss Probability**

**FAQs (Frequently Asked Questions)**

The following Topics and Sub-Topics are covered in this chapter and are available on MSVgo:

**Introduction**

**Classification of Living Organisms**

**Hierarchy of Classification System**

**Features of the Five Kingdoms**

**FAQs**

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**Introduction**

**Cell**

**Tissues**

**Epithelial tissue**

**Connective tissue**

**Muscular tissue**

**Nervous tissue**

**What we learn from this**

**FAQs**

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**Introduction**

**What is a Cell?**

**Characteristics of Cells**

**Discovery of Cells**

**Cell Theory**

**Types of Cells**

**Functions of Cells**

**FAQs**

The following Topics and Sub-Topics are covered in this chapter and are available on MSVgo:

**Introduction**

**Classifications of Calculus**

**Plant physiology**

**Transportation in plants**

**Mineral nutrition**

**Photosynthesis in higher plants**

**Respiration in plants**

**Plant growth and development**

**Frequently asked questions (FAQs)**

The following Topics and Sub-Topics are covered in this chapter and are available on MSVgo:

**Introduction**

**Digestion and absorption**

**Breathing and exchange of gases**

**Chemical coordination and integration**

**Neural control and coordination**

**Parts of the nervous system**

**Locomotion and movement**

**Excretory products and their elimination**

**Body fluids and circulation**

**FAQs**

The following Topics and Sub-Topics are covered in this chapter and are available on MSVgo:

**Introduction**

**Agricultural Practices**

**Basic Practices of Crop Production**

**Food from Animals**

**FAQs**

The following Topics and Sub-Topics are covered in this chapter and are available on MSVgo:

**Introduction**

**Microorganisms and Us**

**Harmful Microorganisms**

**Food Preservation**

**Nitrogen Fixation**

**FAQs**

The following Topics and Sub-Topics are covered in this chapter and are available on MSVgo:

**Introduction**

**What Are Synthetic Fibres?**

**Plastics**

**FAQs**

The following Topics and Sub-Topics are covered in this chapter and are available on MSVgo:

**Introduction**

**Physical Properties of Metals and non-Metals**

**Chemical Properties of Metals and Non-Metals**

**Uses of Metals and Non-Metals**

**FAQs**

The following Topics and Sub-Topics are covered in this chapter and are available on MSVgo:

**Introduction**

**What is Coal?**

**What is Petroleum?**

**How are Coal and Petroleum formed?**

**What are the Various Uses of Coal?**

**What are the Various Uses of Petroleum?**

**FAQs**

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**Introduction**

**What is Combustion?**

**Ignition Temperature**

**How Do We Control Fire?**

**Types of Combustion**

**What is Flame?**

**What is a Fuel?**

**Fuel Efficiency**

**Consequences of burning Fuel**

**FAQs**

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**Introduction**

**Deforestation and its Causes**

**Consequences of Deforestation**

**FAQs**

The following Topics and Sub-Topics are covered in this chapter and are available on MSVgo:

**Introduction**

**Discovery of the Cell**

**Types of Cells**

**Organisms show variety in cell number shape and size**

**Comparison of Plants and Animals Cells**

**FAQs**

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**Introduction**

**Modes of Reproduction**

**Sexual Reproduction**

**Fertilization**

**Embryo Development**

**Asexual Reproduction**

**FAQs**

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**Introduction**

**Adolescence and Puberty**

**Changes at Puberty**

**Role of Hormones in Initiating Reproductive Function**

**Hormones Other Than Sex Hormones**

**Role of Hormones in Completing the Life History of Insects and Frogs**

**Reproductive Phase of Life in Humans**

**FAQs**

The following Topics and Sub-Topics are covered in this chapter and are available on MSVgo:

**Introduction**

**What is Force?**

**What is Pressure?**

**What are the differences between Force and Pressure?**

**FAQs**

The following Topics and Sub-Topics are covered in this chapter and are available on MSVgo:

**Introduction**

**What is the definition of friction?**

**What are the factors that affect friction?**

**Friction: A necessary evil?**

**Can wheels reduce friction?**

**What are the various types of friction?**

**FAQs**

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**Introduction**

**Characteristics of the sound**

**Sound Produced By Humans**

**Audible and Inaudible Sounds**

**Noise Pollution**

**Sounds Needs a Medium For Propagation**

**Amplitude, Time Period, and Frequency of a Vibration**

**FAQs**

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**Introduction**

**Electroplating**

**Interaction of chemical effects of electric current with electricity**

**FAQs**

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**Introduction**

**What is Natural Phenomena?**

**Static charges**

**Charged objects**

**Interaction Between Charges and Transfer of Charges**

**Lightning**

**Earthquakes**

**FAQs**

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**Introduction**

**What makes light visible?**

**Laws of reflection**

**Regular and Diffused reflection**

**Reflected light can be reflected again**

**Sunlight: White or Coloured?**

**What is inside our eyes?**

**How can we take care of our eyes?**

**FAQs**

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**Introduction**

**The Moon**

**The Stars**

**Constellations**

**The Solar System**

**Some other members of the Solar System**

**FAQs**

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**Introduction**

**Air Pollution**

**Case Study – The Taj Mahal**

**Greenhouse Effect**

**Global warming**

**Case Study – Ganga**

**FAQs**

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**Introduction**

**Natural Numbers**

**Whole Numbers**

**Integers**

**Rational Numbers**

**The Negative of Rational Numbers**

**Reciprocal of a Rational Number**

**Representation of rational numbers on the number line**

**Rational numbers between rational numbers**

**FAQs**

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**Introduction**

**Solving Equations having the variable on both sides**

**Some More Applications**

**Reducing Equations to Simpler Forms**

**Equations Reducible to the Linear Form**

**Some Applications Linear Equations**

**FAQs**

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**Introduction**

**Polygons**

**Introduction to Quadrilaterals**

**Kinds of quadrilaterals**

**FAQs**

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**Introduction**

**Construction Of Quadrilaterals Class 8**

**Some Special Cases Of Practical Geometry**

**FAQs**

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**Introduction**

**Data Handling Examples**

**Circle Graph or Pie Chart**

**Chance and Probability**

**FAQs**

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**Introduction**

**Properties of Square Numbers**

**Estimating Square Root of a Number Through Different Methods**

**FAQs**

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**Introduction**

**Cubes**

**Cubes Roots**

**FAQs**

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**Introduction**

**Use of percentage for comparing quantities**

**Finding Discounts using percentage**

**Using percentage in the calculation of profit and loss**

**Sales Tax using percentage**

**Compound Interest (CI) using percentage**

**Calculation of SI**

**Calculating interest when rate compounded annually or half yearly**

**Applications of Compound Interest Formula**

**FAQs**

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**Introduction**

**What are Expressions?**

**Types of Algebraic Expressions**

**What is an Identity?**

**FAQs**

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**Introduction**

**View of 3D shapes**

**Mapping Space Around Us**

**FAQs**

The following Topics and Sub-Topics are covered in this chapter and are available on MSVgo:

**Introduction**

**Area Of Trapezium**

**Area Of General Quadrilaterals**

**Area Of Polygons**

**Solid Shapes**

**Surface Area Of Cube Cuboid And Cylinder**

**Volume And Capacity**

**Frequently Asked Questions**

The following Topics and Sub-Topics are covered in this chapter and are available on MSVgo:

**Introduction**

**Introduction to Exponents And Powers**

**Laws of Exponents**

**Use Of Exponents To Express Small Numbers In Standard Form**

**FAQs**

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**Introduction**

**Constant of Proportionality**

**Example of Direct Proportion**

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**Introduction**

**What Is Factorisation?**

**Division Of Algebraic Expressions**

**Division Of Algebraic Expressions Continued**

**Factorization Example Problems**

**FAQs**

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**Introduction**

**Introduction to graphs**

**Applications of graphs**

**FAQs**

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**Introduction**

**Numbers in General Form**

**Games with Numbers**

**Tests of Divisibility**

**Frequently Asked Questions**

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**Introduction**

**Euclid’s Division Lemma**

**The Fundamental Theorem of Arithmetic**

**Revisiting Rational Numbers and Their Decimal Expansions**

**Properties of Real Numbers**

**Distributive Property**

**Identity Property**

**Conclusion**

**FAQs**

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**Introduction**

**Notation of a Polynomial**

**Degrees of a Polynomial**

**Terms of a Polynomial**

**Types of Polynomials**

**Polynomial Equations**

**Polynomial Functions**

**Solving Polynomials**

**Polynomial Operations**

**Conclusion**

**FAQs**

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**Introduction**

**Graphical Method Of Solution Of A Pair Of Linear Equations**

**Algebraic Methods Of Solving A Pair Of Linear Equations**

**Conclusion**

**FAQs**

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**Introduction**

**General Form of Quadratic Equations**

**Roots of a Quadratic Equation**

**Nature of Roots**

**Applications of Quadratic Equations**

**FAQs**

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**Introduction**

**What is Arithmetic Progression?**

**General Form of Arithmetic Progression**

**Properties of Arithmetic Progressions**

**What is an Arithmetic Series?**

**Sum of Arithmetic Series**

**FAQs**

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**Introduction**

**Scalene Triangle**

**Isosceles Triangle**

**Equilateral Triangle**

**Acute Angle Triangle**

**Right Angle Triangle**

**Obtuse Angle Triangle**

**Conclusion**

**FAQs**

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**Introduction**

**Cartesian System**

**Cartesian Plane & Coordinate Axes**

**Quadrants**

**The Coordinate Plane**

**FAQs**

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**Introduction**

**Trigonometric Ratios**

**Trigonometric Ratios of Some Specific Angles**

**Trigonometric Ratios Of Complementary Angles**

**Trigonometric Identities**

**FAQs**

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**Introduction**

**Equation of Circle**

**Equation of Tangent of Circle**

**Equation of Tangents and Normal**

**Radical Axis to the Two Circles**

**Summary**

**FAQs**

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**Introduction**

**Addition rule of probability**

**Binomial probability**

**Bayes’ theorem**

**Compound events and compound probability**

**Complementary events**

**Conditional probability**

**Coin toss probability**

**FAQs**

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**Introduction**

**The formula for Probability**

**Types of Probability**

**Complementary Events**

**Conclusion**

**FAQs**

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**Introduction**

**Laws of Reflection**

**Types of Reflection**

**Nature of Light**

**Colours of Light**

**Why Does a Sunflower Appear Yellow?**

**Propagation of Light**

**Fermat’s Theorem**

**Principle of Reversibility of Light**

**Reflection of Light by Other Media**

**Conclusion**

**FAQs**

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**Introduction**

**Laws Of Refraction**

**Refractive Index**

**Factors which affect the refractive index of a medium**

**Causes Of Refraction**

**Effects Of Refraction**

**Refraction of Light In Air and Glass Medium**

**FAQs**

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**Introduction**

**Refraction of Light Through a Prism**

**Power of Accommodation**

**Atmospheric Refraction**

**Scattering of Light**

**The Human Eye and its Construction**

**Defects of Vision Causes and Correction**

**Conclusion**

**FAQs**

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**Introduction**

**Dispersion of White Light by a Glass Prism**

**Dispersion of Light**

**Atmospheric Refraction**

**Scattering of Light**

**Tyndall Effect**

**Recombination of Spectrum of Colours**

**Conclusion**

**FAQs**

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**Introduction**

**What are Electric Current and Electric Circuit?**

**Atomic Structure**

**Conductors and Insulators**

**Models of Electric Current**

**Drift Velocity of Electron**

**Electric Circuit**

**Resistance and Ohm’s Law**

**Electric Power and AC**

**FAQs**

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**Introduction**

**Electric Potential**

**Electric Potential Difference**

**Electric Potential Formula**

**Electric Potential of a Point Charge**

**Drift Velocity of Electron**

**FAQs**

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**Introduction**

**Ohm’s Law Explanation**

**Experimental Verification of Ohm’s Law**

**Ohm’s Law Magic Triangle**

**Ohm’s Law Pie Chart**

**Ohm’s Law Matrix Table**

**Ohm’s Law Applications**

**Limitations of Ohm’s**

**Calculating Electrical Power Using Ohm’s Law**

**Conclusion**

**FAQs**

The following Topics and Sub-Topics are covered in this chapter and are available on MSVgo:

**Introduction**

**Electric current and circuit**

**Electric potential and potential difference**

**Circuit diagram**

**Ohm’s Law**

**The resistance of a system of resistors**

**Heating effect of electric current**

**What is electric power?**

**FAQs**

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**Introduction**

**How to find the magnetic field lines around a bar magnet?**

**How is a magnetic field produced?**

**Earth’s magnetic field**

**FAQs**

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**Introduction**

**Parts of an Electric Motor**

**Types of Electric Motor**

**Uses of an Electric Motor**

**Working of an Electric Motor**

**Conclusion**

**FAQs**

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**Introduction**

**Faraday’s Law of Induction**

**Lenz’s Law and Conservation of Energy**

**Motional Electromotive Force**

**Energy Consideration a Quantitative Study**

**The Experiments of Faraday and Henry**

**Conclusion**

**FAQs**

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**Introduction**

**What Is Energy?**

**Types of Energy**

**Non Renewable Sources of Energy**

**Conclusion**

**FAQs**

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**Introduction**

**Types of Human-Generated Waste**

**Ecosystem – Types and Components**

**Food Chain**

**Effects of Human Activities on the Environment**

**Conclusion**

**FAQs**

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**Introduction**

**3 Rs for Saving the Environment**

**Why Do We Need to Manage Our Resources?**

**Factors to Be Considered During Forest Conservation**

**Environmental impact of some major human activities**

**Sustainable environmental practices**

**Other water-saving methods**

**Some other practices that should be followed**

**FAQs**

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**Introduction**

**Chemical Reactions and Equations**

**Types of chemical reactions**

**FAQs**

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**Introduction**

**How to Balance Chemical Equations**

**Types of Reactions**

**Corrosion and Rancidity**

**FAQs**

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**Introduction**

**What are Acids?**

**What are Bases?**

**What are Salts?**

**Neutralisation In Everyday Life**

**Neutralisation Reaction**

**Conclusion**

**FAQs**

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**Introduction**

**Preparation of Sodium Hydroxide**

**Method of Preparation of Sodium Hydroxide**

**Properties of Sodium Hydroxide**

**Chemical Properties of Sodium Hydroxide**

**Physical Properties of Sodium Hydroxide**

**Uses of Sodium Hydroxide**

**Conclusion**

**FAQs**

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**Introduction**

**What are metals?**

**What are nonmetals?**

**How do metals and nonmetals react?**

**Extraction of metals**

**Enrichment of ores**

**Conclusion**

**FAQs**

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**Introduction**

**Corrosion Definition**

**Factors Affecting Corrosion**

**Types of Corrosion**

**Prevention of Corrosion**

**Conclusion**

**FAQs**

The following Topics and Sub-Topics are covered in this chapter and are available on MSVgo:

**Introduction**

**Types of Carbon Compounds**

**Catenation Property Of Carbon**

**The Existence Of Carbon Compounds**

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**Introduction**

**Understanding Covalent Bond**

**Covalent vs Ionic bonds**

**Types of Covalent Bond**

**Polarization Of Covalent Bond**

**Properties of Covalent Bond**

**Covalent Bonding in Carbon**

**FAQs**

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**Introduction**

**Introduction to Atomic Number and Mass Number**

**Understanding Atomic Number**

**Understanding Mass Number**

**Isotopes and Isobars**

**Why are atomic numbers important?**

**Atomic numbers and protons**

**FAQs**

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**Introduction**

**Properties of Metals**

**Chemical Properties of Metals**

**Reactivity Series**

**Properties Of Non-Metals**

**Differences Between Metals And Non-Metals**

**Conclusion**

**FAQs**

The following Topics and Sub-Topics are covered in this chapter and are available on MSVgo:

**Introduction**

**What are Life Processes?**

**Nutrition**

**Respiration**

**Transportation**

**Excretion**

**FAQs**

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**Introduction**

**What Is Heredity?**

**Mendel’s Pea Experiment – Laws of Inheritance**

**Acquired and Inherited Traits**

**Darwin’s Theory of Evolution**

**Speciation**

**Evolutionary Relationships**

**Homologous and Analogous Organs**

**Human Evolution**

**Conclusion**

**FAQs**

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**Introduction**

**How do organisms reproduce?**

**Modes Of Reproduction**

**Modes of Sexual Reproduction**

**Conclusion**

**FAQs**

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**Introduction**

**What is the Nervous System?**

**Brain**

**Spinal Cord**

**Nerves**

**Reflex Action and Reflex Arcs**

**Hormones in Animals**

**Control And Coordination In Plants**

**FAQs**

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**Introduction**

**What are Numbers?**

**Numbering Orders**

**Use of Commas in Numbers**

**Roman Numerals**

**Conclusion**

**FAQs**

The following Topics and Sub-Topics are covered in this chapter and are available on MSVgo:

**Introduction**

**Definition**

**Properties of Whole Numbers**

**Patterns of Whole Numbers**

**FAQs**

The following Topics and Sub-Topics are covered in this chapter and are available on MSVgo:

**Introduction**

**Factors and Multiples**

**Properties of Multiples**

**Prime and Composite Numbers**

**Some More Divisibility Rules**

**Prime Factorisation**

**Highest Common Factor**

**Lowest Common Multiple**

**Conclusion**

**FAQs**

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**Introduction**

**Basic Geometrical Ideas**

**Conclusion**

**FAQs**

The following Topics and Sub-Topics are covered in this chapter and are available on MSVgo:

**Introduction**

**Measuring Line Segments**

**Angles Right and Straight Obtuse And Reflex**

**Measuring angles**

**Conclusion**

**FAQs**

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**Introduction**

**What are Integers?**

**Types of Integers**

**Properties of an Integer**

**Functions that we can Perform on Integers**

**Conclusion**

**FAQs**

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**Introduction**

**Fraction on the Number Line**

**Proper Fraction**

**Improper and Mixed Fractions**

**Equivalent Fractions**

**Comparing Fractions**

**Addition and Subtraction of Fractions**

**Conclusion**

**FAQs**

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**Introduction**

**Tenths**

**Fractions as Decimals**

**Hundredths**

**Comparing Decimals**

**Using Decimals**

**Addition of Numbers with Decimals**

**Subtraction of Decimals**

**FAQs**

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**Introduction**

**Recording Data**

**Organisation of Data**

**Pictograph**

**A Bar Graph**

**Conclusion**

**FAQs**

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**Introduction**

**Dimensions**

**Measurements**

**Volume**

**Perimeter**

**Conclusion**

**FAQs**

The following Topics and Sub-Topics are covered in this chapter and are available on MSVgo:

**Introduction**

**What is Algebra?**

**The Idea of A Variable**

**What is an Equation?**

**Solution of an Equation**

**Using Expressions Practically**

**Matchstick Patterns**

**FAQs**

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**Introduction**

**Introduction to Ratio and Proportion**

**Definition of Ratio**

**Definition of Proportion**

**Properties of Proportion**

**Ratio and Proportion Formula**

**Conclusion**

**FAQs**

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**Introduction**

**What is symmetry?**

**Line of symmetry**

**Types of symmetry**

**Conclusion**

**FAQs**

The following Topics and Sub-Topics are covered in this chapter and are available on MSVgo:

**Introduction**

**What is practical geometry?**

**Geometrical Tools**

**Basic Geometry Concepts**

**Basic constructions in Practical Geometry**

**Conclusion**

**FAQs**

The following Topics and Sub-Topics are covered in this chapter and are available on MSVgo:

**Introduction**

**Food Variety**

**Food Materials and Sources**

**Plant Parts and Animals Products as Food**

**Conclusion**

**FAQs**

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**Introduction**

**What Do Different Food Items Contain?**

**What Do Various Nutrients Do For Our Body?**

**Balanced Diet Deficiency Diseases**

**Conclusion**

**FAQs**

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**Introduction**

**Understanding Fibres**

**Fibre Materials**

**History of Fibres**

**Some Plant Fibres**

**Spinning cotton yarn**

**Conclusion**

**FAQs**

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**Introduction**

**Why do we need sorting of materials?**

**Classification based on materials**

**Classification based on shape**

**Classification based on raw materials**

**Classification based on state of matter**

**Conclusion**

**FAQs**

The following Topics and Sub-Topics are covered in this chapter and are available on MSVgo:

**Introduction**

**Handpicking**

**Threshing**

**Winnowing**

**Sieving**

**Sedimentation, Decantation and filtration**

**Evaporation**

**Conclusion**

**FAQs**

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**Introduction**

**Types of changes**

**Physical and Chemical changes**

**Ways to bring a change?**

**Burning**

**Separation**

**Conclusion**

**FAQs**

The following Topics and Sub-Topics are covered in this chapter and are available on MSVgo:

**Introduction**

**Plants**

**Parts of a Plant**

**Conclusion**

**FAQs**

The following Topics and Sub-Topics are covered in this chapter and are available on MSVgo:

**Introduction**

**Human Body And Its Movements**

**What Are Balls And Socket Joints?**

**Skeleton System**

**Gait Of Animals**

**How Do Snakes Move?**

**Conclusion**

**FAQs**

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**Introduction**

**Habitat and Adaptation**

**A Journey Through Different Habitats**

**Characteristics of living organisms**

**Conclusion**

**FAQs**

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**Introduction**

**What is Motion?**

**The Story of Transport**

**Types of Motion**

**Standard Units of Measurements**

**Correct Measurement of Length**

**Measuring the Length of A Curved Line**

**FAQs**

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**Introduction**

**What is Light?**

**Luminous vs Non-Luminous Objects**

**Rectilinear Propagation of Light**

**What is Reflection?**

**Conclusion**

**FAQs**

The following Topics and Sub-Topics are covered in this chapter and are available on MSVgo:

**Introduction**

**Electric Cell**

**A Bulb Connected to an Electric Cell**

**An Electric Circuit**

**Electric Switch**

**Electric Conductors and Insulators**

**Conclusion**

**FAQs**

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**Introduction**

**What are Magnets?**

**Poles of Magnet**

**Finding Directions**

**Make Your Magnet**

**Attraction and Repulsion Between Magnets**

**Conclusion**

**FAQs**

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**Introduction**

**How much water do we use?**

**Where do we get water from?**

**Water Cycle**

**Stages of Water Cycle**

**Back to the Oceans**

**How can we Conserve Water?**

**Rainwater Harvesting**

**Conclusion**

**FAQs**

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**Introduction**

**What Is Air Made Up Of?**

**How is the Oxygen in the Atmosphere Replaced?**

**How does Oxygen become Available to Animals and Plants Living in Water and Soils?**

**Conclusion**

**FAQs**

The following Topics and Sub-Topics are covered in this chapter and are available on MSVgo:

**Introduction**

**Household Waste**

**Industrial Waste**

**Other Solid waste (managed by the municipality)**

**Management of Waste**

**Conclusion**

**FAQs**

The following Topics and Sub-Topics are covered in this chapter and are available on MSVgo:

**Introduction**

**Forms of Number System**

**Computer Numeral System**

**Conversion of Number System**

**Conclusion**

**FAQs**

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**Introduction**

**What is Algebra?**

**Elementary Algebra**

**Advanced Algebra**

**Abstract Algebra**

**Linear Algebra**

**Commutative Algebra**

**Conclusion**

**FAQs**

The following Topics and Sub-Topics are covered in this chapter and are available on MSVgo:

**Introduction**

**History of Coordinate Geometry**

**Overview of Coordinate Geometry**

**What is a plane of coordinate and coordinate axes?**

**Cartesian Plane Equation of a Line**

**Conclusion**

**FAQs**

The following Topics and Sub-Topics are covered in this chapter and are available on MSVgo:

**Introduction**

**Geometry Branches**

**Geometry for Plane**

**Polygons in Geometry**

**Geometry Circle**

**Conclusion**

**FAQs**

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**Introduction**

**The Definition of Mensuration**

**Mensuration- Relevant Terminologies**

**Formulas for Mensuration**

**What is 2D Mensuration and 3D Mensuration?**

**Conclusion**

**FAQs**

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**Introduction**

**What is Probability?**

**What is Statistics?**

**Terms Used in Probability and Statistics**

**Conclusion**

**FAQs**

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**Introduction**

**Properties of Matter**

**Evaporation**

**Cooling Via Evaporation**

**Physical Nature of Matter**

**Characteristics of Particles of Matter**

**Diffusion**

**Can Matter Alter Its State?**

**Melting Point**

**Conclusion**

**FAQs**

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**Introduction**

**Purity**

**What is a Mixture?**

**Physical vs Chemical Changes**

**What is a Solution?**

**Separating the Components of a Mixture**

**Air Separation into its Components**

**Difference Between Compounds and Mixtures**

**Conclusion**

**FAQs**

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**Introduction**

**What is the size of an atom?**

**What is Atomic Weight?**

**What is a molecule?**

**Salient features of Dalton’s Atomic Theory**

**Laws of Chemical Combination**

**Sample Questions**

**Conclusion**

**FAQs**

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**Introduction**

**What is the Structure of Atoms?**

**Models of Atoms**

**Thomson’s Atomic Model Limitations**

**Conclusion**

**FAQs**

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**Introduction**

**Definition Of Cell**

**Structure Of Cell**

**The Cell Wall**

**Cytoplasm**

**The nucleus**

**Types Of Cell**

**Conclusion**

**FAQs**

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**Introduction**

**Definition Of Tissues**

**Tissue Types in Animals**

**Tissue Types of Plants**

**Conclusion**

**FAQs**

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**Introduction**

**What Is The Basis Of Classification?**

**System of Classification**

**Classification And Evolution**

**Definition Of Biodiversity**

**Binomial Nomenclature**

**Conclusion**

**FAQs**

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**Introduction**

**What is motion?**

**Types of Motion**

**Laws Of Motion**

**Conclusion**

**FAQs**

The following Topics and Sub-Topics are covered in this chapter and are available on MSVgo:

**Introduction**

**What is Force?**

**First Law of Motion**

**Second Law of Motion**

**Third Law of Motion**

**Conservation of Momentum**

**Conclusion**

**FAQs**

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**Introduction**

**What is Gravitation?**

**Universal Law Of Gravitation**

**Archimedes Principle – Why objects float or fall**

**Conclusion**

**FAQs**

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**Introduction**

**The Work and Energy Principle**

**Law of Conservation Of Energy**

**Work vs. Energy**

**Conclusion**

**FAQs**

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**Introduction**

**What is sound?**

**What is the speed of sound?**

**Nature of the Sound**

**Human Hearing and Speech**

**Conclusion**

**FAQs**

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**Introduction**

**Disease and its types**

**Principles of prevention**

**Principle of treatment**

**Conclusion**

**FAQs**

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**Introduction**

**Definition Of Natural Resources**

**Natural Resources Types**

**Natural Resource Threats**

**Biogeochemical Cycles**

**Conclusion**

**FAQs**

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**Introduction**

**Types of Relations**

**Types of Functions**

**FAQs**

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**Introduction**

**Branches in Algebra**

**Multiplication of Algebraic Expressions**

**BODMAS rule in Algebraic Expression**

**Laws of Exponents**

**Exponents in Algebra**

**FAQs**

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**Introduction**

**Differential Calculus**

**Limits**

**Continuity and Discontinuity**

**Derivatives**

**Integral Calculus**

**Integration**

**FAQs**

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**Introduction**

**Rectangular Coordinate System**

**Distance Between 2 Points**

**Distance From The Origin**

**Area of A Triangle**

**Direction Cosines of Line Direction Ratios**

**Parallel Lines**

**Projection of Line**

**FAQs**

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**Introduction**

**What are the Components of Linear Programming?**

**Characteristics of Linear Programming**

**Linear Programming Applications**

**Importance of Linear Programming**

**Applications of Linear Graphs**

**Linear Equations Application**

**Difference between Linear and Non- Linear Equations**

**FAQs**

The following Topics and Sub-Topics are covered in this chapter and are available on MSVgo:

**Introduction**

**Probability Definition in Math**

**Formula for Probability**

**Probability Tree**

**Types of Probability**

**Theoretical Probability**

**Experimental Probability**

**Axiomatic Probability**

**Probability of an Event**

**Equally Likely Events**

**Complementary Events**

**Probability Density Function**

The following Topics and Sub-Topics are covered in this chapter and are available on MSVgo:

**Introduction**

**Mode of Nutrition in Plants**

**Autotrophic Mode of Nutrition**

**Photosynthesis**

**Other Modes of Nutrition in Plants**

**Parasitic Nutrition**

**Insectivorous Nutrition**

**Saprophytic Nutrition**

**Symbiotic Nutrition**

**How are Nutrients Replenished in the Soil?**

**Conclusion**

**FAQs**

The following Topics and Sub-Topics are covered in this chapter and are available on MSVgo:

**Introduction**

**Different Ways of Taking Food**

**Digestion in Humans**

**Digestion in Grass-Eating Animals**

**Feeding and Digestion in Amoeba**

**Conclusion**

**FAQs**

The following Topics and Sub-Topics are covered in this chapter and are available on MSVgo:

**Introduction**

**What are fibres?**

**Natural Fibre**

**Synthetic Fibres**

**What are the fabrics?**

**Steps to process Fibre into the fabric**

**Importance of Fabrics**

**Used for Insulation**

**Used for hygrometry**

**Used in Sound Absorption**

**Conclusion**

**FAQs**

The following Topics and Sub-Topics are covered in this chapter and are available on MSVgo:

**Introduction**

**Heat and its Properties**

**How Do We Measure Heat?**

**Transfer of Heat**

**What Kinds of Clothes We Wear in Summer and Winter?**

**Conclusion**

**FAQs**

The following Topics and Sub-Topics are covered in this chapter and are available on MSVgo:

**Introduction**

**Acids**

**Bases**

**Indicators**

**Neutralisation**

**Salts**

**Conclusion**

**FAQs**

The following Topics and Sub-Topics are covered in this chapter and are available on MSVgo:

**Introduction**

**What are the Physical Changes?**

**What are Chemical Changes?**

**How Does Chemical Change Happen?**

**Conclusion**

**FAQs**

The following Topics and Sub-Topics are covered in this chapter and are available on MSVgo:

**Introduction**

**What are the weather and climate?**

**What are the different elements of weather?**

**Who predicts the weather?**

**Adaptations of Animals to Climate**

**Conclusion**

**FAQs**

The following Topics and Sub-Topics are covered in this chapter and are available on MSVgo:

**Introduction**

**Air Exerts Pressure**

**High-speed Winds are Accompanied by Reduced Air Pressure**

**Air Expands on Heating**

**Wind Currents are Generated Due to Uneven Heating on the Earth**

**Storms and Cyclones**

**How does a thunderstorm become a cyclone?**

**Conclusion**

**FAQs**

The following Topics and Sub-Topics are covered in this chapter and are available on MSVgo:

**Introduction**

**What is soil?**

**Types of soils**

**Uses of soils**

**Soil Formation**

**Soil Profile**

**Conclusion**

**FAQs**

The following Topics and Sub-Topics are covered in this chapter and are available on MSVgo:

**Introduction**

**Why Do We Respire?**

**What is Cellular Respiration?**

**What Do We Breathe Out?**

**How Do We Breathe Out?**

**Types of Respiration**

**Breathing in Other Animals**

**Do Plants Also Respire?**

**Conclusion**

**FAQs**

The following Topics and Sub-Topics are covered in this chapter and are available on MSVgo:

**Introduction**

**Transportation in Animals**

**Transport of Substances in Plants**

**Conclusion**

**FAQs**

The following Topics and Sub-Topics are covered in this chapter and are available on MSVgo:

**Introduction**

**Modes of Reproduction**

**Conclusion**

**FAQs**

The following Topics and Sub-Topics are covered in this chapter and are available on MSVgo:

**Introduction**

**What is Motion?**

**What is Reference Point?**

**Speed vs. Velocity**

**Types of Speed**

**Measurement of Time**

**Distance-Time Graph**

**How to Make a Distance Time Graph?**

**Periodic Motion**

**Conclusion**

**FAQs**

The following Topics and Sub-Topics are covered in this chapter and are available on MSVgo:

**Introduction**

**Battery**

**Circuit**

**Symbols of Electric Components**

**Circuit Diagram**

**Heating Effect of Electric Current**

**Fuse**

**Magnetic Effect of Electric Current**

**Electromagnet**

**Permanent Magnet vs. Electromagnet**

**Electric Bell**

**Conclusion**

**FAQs**

The following Topics and Sub-Topics are covered in this chapter and are available on MSVgo:

**Introduction**

**Light Travels Along a Straight Line**

**Reflection of Light**

**Laws of Reflection**

**Images**

**Plane Mirrors**

**Right or Left Inversion**

**Spherical Mirrors**

**Playing With Spherical Mirrors**

**Images Formed By Lenses**

**Sunlight — White or Coloured**

**Conclusion**

**FAQs**

The following Topics and Sub-Topics are covered in this chapter and are available on MSVgo:

**Introduction**

**Water – A Precious Resource**

**Forms of Water**

**Importance of Groundwater**

**Depletion of Water Table**

**Water Management**

**Effect of Water Scarcity on Plants**

**What Role Can You Play?**

**Conclusion**

**FAQs**

The following Topics and Sub-Topics are covered in this chapter and are available on MSVgo:

**Introduction**

**Forest Profile**

**Forest Components**

**Importance of forest**

**Conservation of forests**

**FAQs**

The following Topics and Sub-Topics are covered in this chapter and are available on MSVgo:

**Introduction**

**Water – Our Lifeline**

**What is Sewage?**

**Water Freshens Up – An Eventful Journey**

**Wastewater Treatment Plant**

**Collection of wastewater**

**Physical treatment (screening)**

**Primary treatment of wastewater**

**Secondary treatment of wastewater**

**Final treatment**

**Better Housekeeping Practices**

**Alternative Arrangement for Sewage Disposal**

**Sanitation at Public Places**

**Conclusion**

**FAQs**

The following Topics and Sub-Topics are covered in this chapter and are available on MSVgo:

**Introduction**

**What are Natural and Whole Numbers?**

**What are Integers?**

**Properties of Addition And Subtraction of Integers**

**Additive Identity and Additive Inverse of Integers**

**Multiplication of Integers**

**Integrative Properties of Multiplication**

**Division of Integers**

**Representation of Integers on a Number Line**

**Conclusion**

**FAQs**

The following Topics and Sub-Topics are covered in this chapter and are available on MSVgo:

**Introduction**

**What are fractions?**

**Understanding fractions**

**What are decimals?**

**Understanding Decimals**

**Multiplication of Fractions**

**Division of Fractions**

**Conclusion**

**FAQs**

The following Topics and Sub-Topics are covered in this chapter and are available on MSVgo:

**Introduction**

**What is Data Handling?**

**Collecting Data**

**Organisation of Data**

**Representative Value of Data**

**Use of Bar Graph with a Different Purpose**

**Conclusion**

**FAQs**

The following Topics and Sub-Topics are covered in this chapter and are available on MSVgo:

**Introduction**

**Simple Equations**

**Solving an Equation:**

**Setting up of an Equation Takes Four Steps**

**The Concept of Transposition**

**Conclusion**

**FAQs**

The following Topics and Sub-Topics are covered in this chapter and are available on MSVgo:

**Introduction**

**What is a Line?**

**What is a Ray?**

**Pair of Lines**

**Types of Angles**

**Checking for parallel lines**

**Conclusion**

**FAQs**

The following Topics and Sub-Topics are covered in this chapter and are available on MSVgo:

**Introduction**

**Medians of a Triangle**

**Altitudes of a Triangle**

**Exterior Angle of a Triangle and its Property**

**Angle Sum Property of a Triangle**

**Two Special Triangles: Equilateral and Isosceles**

**Sum of the Lengths of Two Sides of a Triangle**

**Right-angled Triangles and Pythagoras Property**

**Conclusion**

**FAQs**

The following Topics and Sub-Topics are covered in this chapter and are available on MSVgo:

**Introduction**

**Congruence of Plane Figures**

**Congruence Among Line Segments**

**Congruence of Angles**

**Congruence of Triangles**

**Criteria for Congruence of Triangles**

**SSS (Side Side Side) Congruence Theorem**

**ASA (Angle Side Angle) Congruence Theorem**

**Angle Angle Side (AAS) Rule**

**Congruence Among Right Angled Triangles**

**Conclusion**

**FAQs**

The following Topics and Sub-Topics are covered in this chapter and are available on MSVgo:

**Introduction**

**Equivalent Ratios**

**Percentage, Another Way Of Comparing Quantities**

**Use Of Percentages**

**Conclusion**

**FAQs**

The following Topics and Sub-Topics are covered in this chapter and are available on MSVgo:

**Introduction**

**What Are Rational Numbers?**

**Positive and Negative Rational Numbers**

**Rational Numbers in Standard Form**

**Comparison of Rational Numbers**

**Operations on Rational Numbers**

**Properties of Rational Numbers**

**Conclusion**

**FAQs**

The following Topics and Sub-Topics are covered in this chapter and are available on MSVgo:

**Introduction**

**Construction of a Line Parallel to a Given Line Through a Point Not on the Line**

**Construction of a Triangle**

**Constructing a Triangle When the Lengths of its Three Sides are Known (SSS Criterion)**

**Constructing a Triangle When the Lengths of Two Sides and the Measure of the Angle Between Them are Known (SAS Criterion)**

**Constructing a Triangle When the Measures of Two of its Angles and the Length of the Side Inclined Between Them is Given (ASA Criterion)**

**Constructing a Right-Angled Triangle When the Length of One Leg and its Hypotenuse are Given (RHS Criterion)**

**FAQs**

The following Topics and Sub-Topics are covered in this chapter and are available on MSVgo:

**Introduction**

**Perimeter and Area**

**Squares and Rectangles**

**Triangles as Parts of Rectangles**

**Area of Parallelogram**

**Area of Triangle**

**Area of Circle**

**Conversion of Units**

**Generalising for Other Congruent Parts of Rectangles**

**FAQs**

The following Topics and Sub-Topics are covered in this chapter and are available on MSVgo:

**Introduction**

**Algebraic Expressions**

**How are Expressions Formed**

**Terms of an Expression**

**Factors of a Term**

**Like and Unlike Terms**

**Finding the Value of an Expression**

**Addition and Subtraction of Algebraic Expressions**

**Using Algebraic Expression Formulas and Rules**

**FAQs**

The following Topics and Sub-Topics are covered in this chapter and are available on MSVgo:

**Introduction**

**The General Form of Exponents**

**Laws of Exponents**

**Applications of Exponents and Powers**

**Conclusion**

**FAQs**

The following Topics and Sub-Topics are covered in this chapter and are available on MSVgo:

**Introduction**

**Mathematical Implication of Symmetry**

**Lines of Symmetry**

**Lines of Symmetry of Regular Polygons**

**Symmetry Types**

**Symmetry in Shapes**

**Conclusion**

**FAQs**

The following Topics and Sub-Topics are covered in this chapter and are available on MSVgo:

**Introduction**

**Drawing Solids on a Flat Surface**

**Oblique Sketches**

**Isometric Sketches**

**Viewing different sections of a solid**

**Conclusion**

**FAQs**

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