Notes for JEE Main & Advanced

Recent Notes

Matrices of Rotation of Axes
Matrices
Geometrical Transformations
Matrices
Cayley-Hamilton Theorem
Matrices
Consistency of a System of Linear Equation $\mathbf{AX=B,}$ where $\mathbf{A}$ is a square matrix
Matrices
Homogeneous and Non-homogeneous Systems of Linear Equations
Matrices
Echelon Form of a Matrix
Rank of Matrix
Matrices
Inverse of a Matrix
Matrices
Adjoint of a Square Matrix
Matrices
Special Types of Matrices
Matrices
Transpose of a Matrix
Matrices
Positive Integral Powers of a Matrix
Matrices
Multiplication of Matrices
Matrices
Scalar Multiplication of Matrices
Matrices
Addition and Subtraction of Matrices
Matrices
Trace of a Matrix
Matrices
Types of Matrices
Matrices
Equality of Matrices
Matrices
Order of a Matrix
Definition
Matrices
Some Special Determinants
Determinants
Application of Determinants in Solving a System of Linear Equations
Determinants
Differentiation and Integration of Determinants
Determinants
Product of Two Determinants
Determinants
Minors and Cofactors
Determinants
Properties of Determinants
Definition
Determinants
Lagrange's Mean Value Theorem
Rolle's Theorem
Applications of Derivatives
Greatest and Least Values of a Function Defined on an Interval $[a,\,\,b]$
Applications of Derivatives
Properties of Maxima and Minima
Applications of Derivatives
Higher Order Derivative Test
Applications of Derivatives
Sufficient Criteria for Extreme Values (1st Derivative Test)
Applications of Derivatives
Necessary Condition for Extreme Values
Definition
Definition
Applications of Derivatives
Length of Perpendicular from Origin to the Tangent
Applications of Derivatives
Length of Intercept Made on Axes by The Tangent
Applications of Derivatives
Length of Tangent, Normal, Subtangent, Subnormal
Applications of Derivatives
Angle of Intersection of Two Curves
Applications of Derivatives
Equation of the Tangent and Normal
Applications of Derivatives
Slope of the Tangent and Normal
Applications of Derivatives
Velocity and Acceleration in Rectilinear Motion
Applications of Derivatives
Derivative as the Rate of Change
Differentiation
Deduction of Euler?s Theorem
Differentiation
Euler's Theorem on Homogeneous Functions
Differentiation
Higher Partial Derivatives
Definition
Differentiation
Leibnitz?s Theorem
Differentiation
Differentiation of Integral Function
Differentiation
${{n}^{th}}$ Derivative Using Partial Fractions
Differentiation
Successive Differentiation or Higher Order Derivatives
Differentiation
Differentiation of a Function with Respect to Another Function
Differentiation
Methods of Differentiation
Differentiation
Theorems for Differentiation
Differentiation
Some Standard Differentiation
Introduction
Differentiation
Relation Between A.P., G.P. and H.P.
Geometric Progression
Properties of Arithmetic, Geometric, Harmonic Means Between Two Given Numbers
Special Series
Geometric Progression
Method of Difference
Geometric Progression
Method for Finding Sum
Sum of A.G.P.
Geometric Progression
${{n}^{th}}$term of A.G.P.
Definition
Geometric Progression
Properties of H.P.
Harmonic Mean
Other Series
General Term of an H.P.
Definition
Other Series
Properties of G.P.
Geometric Mean
Geometric Progression
Sum of infinite terms of a G.P.
Geometric Progression
Sum of first 'n' terms of a G.P.
Geometric Progression
Selection of Terms in a G.P.
Geometric Progression
General term of a G.P.
Definition
Geometric Progression
Properties of A.P.
Arithmetic Mean
Arithmetic Progressions
Sum of n terms of an A.P.
Arithmetic Progressions
Selection of Terms in an A.P.
Arithmetic Progressions
General Term of an A.P.
Definition
Arithmetic Progressions
Some Important Results
Trigonometric Equations
Some Properties Related to Circle
Trigonometric Equations
Some Terminology Related to Height and Distance
Trigonometric Equations
Solutions of Triangles
Regular Polygon
Trigonometric Equations
Ex-central Triangle
Pedal Triangle
Trigonometric Equations
Circle Connected With Triangle
Trigonometric Equations
Half Angle Formulae
Area of Triangle
Trigonometric Equations
Napier's Analogy (Law of Tangents)
Trigonometric Equations
Theorem of The Medians: (Apollonius Theorem)
Trigonometric Equations
Projection Formulae
Trigonometric Equations
The Law of Cosines or Cosine Rule
Trigonometric Equations
Relation Between Sides and Angles
Trigonometric Equations
Periodic Functions
Trigonometric Equations
Important Points to be Taken in Case of While Solving Trigonometrical Equations
Trigonometric Equations
Method for Finding Principal Value
Trigonometric Equations
General Solution of The Form $\mathbf{acos}\,\mathbf{\theta +bsin}\,\mathbf{\theta =c}$
Trigonometric Equations
Trigonometrical Equations With Their General Solution
Trigonometric Equations
Trigonometrical Equations and Inequations Definition
Trigonometric Equations
Differentiability of a Function at a Point
Functions
Discontinuous Function
Functions
Continuity From Left and Right
Functions
Continuity of a Function at a Point
Introduction
Functions
Methods of Evaluation of Limits
Functions
Fundamental Theorems on Limits
Functions
Limit of a Function
Inverse Function
Functions
Composite Function
Functions
Periodic Function
Functions
Even and Odd Function
Functions
Conditional Trigonometrical Identities
Trigonometrical Ratios and Identities
Kinds of function
Functions
Algebra of Functions
Functions
Domain, Co-domain and Range of Function
Functions
Definition of Function
Intervals
Functions
Maximum and Minimum Value of a $\mathbf{cos}\,\,\mathbf{\theta }\,\,\mathbf{+}\,\mathbf{b}\,\,\mathbf{sin}\,\,\mathbf{\theta }$
Trigonometrical Ratios and Identities
Some Important Definitions
Functions
Trigonometric Ratio of Sub-multiple of an Angle
Trigonometrical Ratios and Identities
Trigonometric Ratio of Multiple of an Angle
Trigonometrical Ratios and Identities
Formulae to Rransform The Product Into Sum or Difference
Trigonometrical Ratios and Identities
Trigonometrical Ratios In Terms of Each Other
Trigonometrical Ratios and Identities
Trigonometrical Ratios for Some Special Angles
Trigonometrical Ratios and Identities
Trigonometrical Ratios for Various Angles
Trigonometrical Ratios and Identities
Trigonometrical Ratios of Allied Angles
Trigonometrical Ratios and Identities
Trigonometrical Ratios or Functions
Trigonometrical Ratios and Identities
Domain and Range of a Trigonometrical Function
Trigonometrical Ratios and Identities
Angle of Intersection of Two Spheres
Three Dimensional Geometry
Intersection of Straight Line and a Sphere
Three Dimensional Geometry
Condition of Tangency of a Plane to a Sphere
Three Dimensional Geometry
Relation Between an arc and an Angle
Trigonometrical Ratios and Identities
Relation Between Three Systems of Measurement of an Angle
Trigonometrical Ratios and Identities
System of Measurement of AnglesÂ  Â
Trigonometrical Ratios and Identities
Section of a Sphere by a Plane
Three Dimensional Geometry
Equation in Sphere in Various Forms
Three Dimensional Geometry
General Equation of Sphere
Three Dimensional Geometry
Projection of a Line on a Plane
Three Dimensional Geometry
Angle Between Line and Plane
Three Dimensional Geometry
Intersection Point of a Line and Plane
Introduction
Trigonometrical Ratios and Identities
Equation of Plane Through a Given Line
Coplanar Lines
Three Dimensional Geometry
Image of a Point in a Plane
Three Dimensional Geometry
Equation of Planes Bisecting Angle Between Two Given Planes
Three Dimensional Geometry
Locus
Angle Between Two Planes
Three Dimensional Geometry
Foot of Perpendicular from a Point $\mathbf{A(\alpha ,}\,\,\mathbf{\beta ,}\,\,\mathbf{\gamma )}$to a given plane $\mathbf{ax+by+cz+d=0}$.
Three Dimensional Geometry
Transformation of Axes
Equation of Plane Passing Through the Given Point
Three Dimensional Geometry
Area of Some Geometrical Figures
Rectangular Cartesian Coordinates
Definition of Plane and Its Equations
Three Dimensional Geometry
Shortest Distance Between two Straight Lines
Three Dimensional Geometry
Foot of Perpendicular from a Point to The Line
Three Dimensional Geometry
Intersection of Two Lines
Three Dimensional Geometry
Changing Unsymmetrical form to Symmetrical Form
Three Dimensional Geometry
Some Points of a Triangle
Rectangular Cartesian Coordinates
Straight Line in Space
Three Dimensional Geometry
Angle Between Two Lines
Projection
Three Dimensional Geometry
Direction Cosines and Direction Ratios
Three Dimensional Geometry
Triangle and Tetrahedron
Section Formulae
Section Formula
Distance Formula
Three Dimensional Geometry
Properties of Some Geometrical Figures
Rectangular Cartesian Coordinates
Co-ordinates of a Point in Space
Distance Formula
Rectangular Cartesian Coordinates
Polar Co-ordinates
Rectangular Cartesian Coordinates
Cartesian Co-ordinates of a Point
Introduction
Rectangular Cartesian Coordinates
Binomial Distribution
Probability
Total Probability and Baye's Rule
Probability
Conditional Probability
Probability
Addition Theorems on Probability
Probability
Odds in Favour and Odds Against an Event
Probability
Problems Based on Combination and Permutation
Probability
Classical Definition of Probability
Probability
Definitions of Various Terms
Probability
Distance Between The Pair of Parallel Straight LinesÂ Â Â Â Â
Pair of Straight Lines
Removal of the term $\mathbf{xy}$ from $\mathbf{f(X,}\,\mathbf{Y)=a}{{\mathbf{x}}^{\mathbf{2}}}\mathbf{+2hxy+b}{{\mathbf{y}}^{\mathbf{2}}}$ Without Changing the Origin
Pair of Straight Lines
Removal of First Degree Terms
Pair of Straight Lines
Equation of the Lines Joining the Origin to the Points of Intersection of a Given Line and a Given Curve
Pair of Straight Lines
Bisectors of the Angles Between the Lines
Pair of Straight Lines
Angle Between the Pair of Lines
Pair of Straight Lines
Point of Intersection of Lines Represented by $\mathbf{a}{{\mathbf{x}}^{\mathbf{2}}}\mathbf{+ 2hxy+b}{{\mathbf{y}}^{\mathbf{2}}}\mathbf{+ 2gx+ 2fy+c= 0}$
Pair of Straight Lines
Equation of Pair of Straight Lines
Logic Gates
Mathematical Logic and Boolean Algebra
Switching Circuits
Mathematical Logic and Boolean Algebra
Boolean Functions
Introduction
Duality
Mathematical Logic and Boolean Algebra
Algebra of Statements
Mathematical Logic and Boolean Algebra
Negation of Compound Statements
Mathematical Logic and Boolean Algebra
Logical Equivalence
Mathematical Logic and Boolean Algebra
Basic Logical Connectives or Logical Operators
Truth Tables
Mathematical Logic and Boolean Algebra
Types of Statements
Mathematical Logic and Boolean Algebra
Use of Venn Diagrams in Checking Truth and Falsity of Statements
Mathematical Logic and Boolean Algebra
Statements or Propositions
Introduction
Mathematical Logic and Boolean Algebra
Advantages and Limitations of L.P.P.
Linear Programming
To Find The Vertices of Simple Feasible Region Without Drawing a Graph
Linear Programming
Graphical Solution of Two Variable Linear Programming Problem
Linear Programming
Mathematical Formulation of a Linear Programming Problem
Linear Programming
Terms of Linear Programming
Linear Programming
Linear Inequations
Linear Programming
Inverse Trigonometric Ratios of Multiple Angles
Inverse Trigonometric Functions
Formulae for Sum, Difference of Inverse Trigonometric Function
Inverse Trigonometric Functions
Properties of inverse trigonometric functions
Inverse Trigonometric Functions
Domain and Range of Inverse Trigonometric Functions
Inverse Trigonometric Functions
Graphs of Inverse Trigonometric Functions
Inverse Trigonometric Functions
Integration of Hyperbolic Functions
Indefinite Integrals
Integration of Trigonometric Functions
Indefinite Integrals
Integration of Rational Functions by Using Partial Fractions
Indefinite Integrals
Integrals of the form $\int{\frac{a sinx+b cosx}{c sinx+d cosx} }$and $\int{\frac{a\,sinx+bcos\,x+q}{c\,sinx+d\,cosx+r}}$
Indefinite Integrals
Integrals of the form $\int_{{}}^{{}}{\frac{dx}{a+b\mathbf{co}{{\mathbf{s}}^{\mathbf{2}}}x},\,\int_{{}}^{{}}{\frac{dx}{a+b\,\mathbf{si}{{\mathbf{n}}^{\mathbf{2}}}x},}}$$\int_{{}}^{{}}{\frac{dx}{a\,\mathbf{si}{{\mathbf{n}}^{\mathbf{2}}}x+b\,\mathbf{co}{{\mathbf{s}}^{\mathbf{2}}}x}\mathbf{,}}$$\int_{{}}^{{}}{\frac{dx}{{{\mathbf{(}a\,\sin x+b\,\mathbf{cos}\,x\mathbf{)}}^{\mathbf{2}}}}\mathbf{,}}\int_{{}}^{{}}{\frac{dx}{a\,+b\mathbf{si}{{\mathbf{n}}^{\mathbf{2}}}x+c\,\mathbf{co}{{\mathbf{s}}^{\mathbf{2}}}x}}$
Indefinite Integrals
Integrals of the Form $\int{\frac{dx}{a+bcosx+csinx}}\,,\,\,\int{\frac{dx}{asinx+bcosx}}$
Indefinite Integrals
Integrals of the Form $\int{\frac{dx}{a+b\,cos\,x}}$ and $\int{\frac{dx}{a+b\,sin\,x}}$
Indefinite Integrals
Evaluation of the Various Forms of Integrals by Use of Standard Results
Indefinite Integrals
Position of Centre of Gravity in Some Special Cases
Statistics
Integration by Parts
Indefinite Integrals
Centre of Gravity of a Compound Body and Remainder
Statistics
Centre of Gravity
Statistics
Limiting Equilibrium on an Inclined Plane
Statistics
Coefficient of Friction
Friction
Statistics
Equilibrium of Coplanar Forces
Statistics
Triangle Theorem of Couples
Statistics
Integration By Substitution
Couples
Moment
Parallel Forces
Lami's Theorem
Statistics
Polygon Law of Forces
Statistics
Triangle Law of Forces
Statistics
Parallelogram Law of Forces
Statistics
Fundamental Integration Formulae
Introduction
Definition
Indefinite Integrals
Image of a Point in Different Cases
Straight Line
Reflection on The Surface
Concurrent Lines
Straight Line
Position of Two Points with Respect to a Line
Straight Line
Position of a Point with Respect to a Line
Straight Line
Length of Perpendicular
Straight Line
Equations of the Bisectors of The Angles Between two Straight Lines
Straight Line
Equation of Straight Line Through a Given Point Making a Given Angle With a Given Line
Straight Line
Angle Between two Non-parallel Lines
Straight Line
General Equation of Lines Through the Intersection of Two Given Lines
Straight Line
Point of Intersection of Two Lines
Straight Line
General Equation of a Straight Line and its Transformation in Standard Forms
Straight Line
Equation of Parallel and Perpendicular Lines to a Given Line
Straight Line
Equations of Straight Line in Different Forms
Straight Line
Slope (Gradient) of a Line
Definition
Straight Line
Miscellaneous Differential Equation
Differential Equations
Application of Differential Equation
Differential Equations
Linear Differential Equation
Differential Equations
Solution by Inspection
Differential Equations
Exact Differential Equation
Differential Equations
Homogeneous Differential Equation
Differential Equations
Variable Separable Type Differential Equation
Differential Equations
Formation of Differential Equation
Definition
Symmetrical Area
Definite Integrals
Application of Vectors in 3-dimensional Geometry
Vector Algebra
Rotation of a Vector About an Axis
Vector Algebra
Vector Product of Four Vectors
Vector Algebra
Area of Bounded Regions
Definite Integrals
Scalar Product of Four Vectors
Vector Algebra
Vector Triple Product
Vector Algebra
Integration of Piecewise Continuous Functions
Definite Integrals
Scalar Triple Product
Vector Algebra
Volumes and Surfaces of Solids of Revolution
Definite Integrals
Some Important Results of Definite Integral
Definite Integrals
Area Between Two Curves
Definite Integrals
Vector or Cross Product
Vector Algebra
Scalar or Dot Product
Vector Algebra
Linear Independence and Dependence of Vectors
Vector Algebra
Linear Combination of Vectors
Position Vector
Leibnitz's Rule
Definite Integrals
Properties of Vectors
Walli's Formula
Types of Vector
Vector Algebra
Reduction Formulae for Definite Integration
Gamma Function
Definite Integrals
Summation of Series by Integration
Definite Integrals
Representation of Vectors
Introduction
Vector Algebra
Properties of Definite Integral
Definite Integrals
Evaluation of Definite Integral by Substitution
Definition
Definite Integrals
Rectangular or Equilateral Hyperbola
Conic Section
Asymptotes of a Hyperbola
Conic Section
Subtangent and Subnormal of the Hyperbola
Conic Section
Diameter of The Hyperbola
Pole and Polar
Conic Section
Equation of The Chord Joining Two Points on The Hyperbola
Conic Section
Equation of the Chord of the Hyperbola Whose mid point $\mathbf{(}{{\mathbf{x}}_{\mathbf{1}}}\mathbf{,}\,\,{{\mathbf{y}}_{\mathbf{1}}}\mathbf{)}$ is given
Conic Section
Equation of Chord of Contact of Tangents Drawn from a Point to a Hyperbola
Conic Section
Equations of Normal in Different Forms
Conic Section
Equation of Pair of Tangents
Conic Section
Equations of Tangent in Different Forms
Conic Section
Intersection of a Line and a Hyperbola
Conic Section
Position of a Point With Respect to a Hyperbola
Conic Section
Parametric Equations of Hyperbola
Conic Section
Auxiliary Circle of Hyperbola
Conic Section
Special form of Hyperbola
Conic Section
Conjugate Hyperbola
Conic Section
Standard Equation of the Hyperbola
Definition
Conic Section
Subtangent and Subnormal
Conic Section
Diameter of The Ellipse
Pole and Polar
Conic Section
Equation of The Chord Joining Two Points on an Ellipse
Conic Section
Equation of Chord With Mid Point $\mathbf{(}{{\mathbf{x}}_{\mathbf{1}}}\mathbf{,}{{\mathbf{y}}_{\mathbf{1}}}\mathbf{)}$
Chord of Contact
Auxiliary Circle
Conic Section
Equations of Normal in Different Forms
Conic Section
Equation of Pair of Tangents $\mathbf{S}{{\mathbf{S}}_{\mathbf{1}}}\mathbf{=}{{\mathbf{T}}^{\mathbf{2}}}$
Conic Section
Equations of Tangent in Different Forms
Conic Section
Intersection of a Line and an Ellipse
Conic Section
Position of a Point with Respect to an Ellipse
Conic Section
Special Forms of an Ellipse
Conic Section
Parametric Form of The Ellipse
Conic Section
Standard Equation of the Ellipse
Definition
Pole and Polar
Conic Section
Length of Tangent, Subtangent, Normal and Subnormal to ${{\mathbf{y}}^{\mathbf{2}}}\mathbf{= 4ax}\,\,\mathbf{at }\,\mathbf{(a}{{\mathbf{t}}^{\mathbf{2}}}\mathbf{,2at)}$
Conic Section
Length of Tangent, Subtangent, Normal, Subnormal
Conic Section
Diameter of a Parabola
Conic Section
Equation of the Chord Joining any Two Points on the ParabolaÂ
Conic Section
Equation of the Chord of the Parabola Which is Bisected at a Given PointÂ Â
Conic Section
Equation of The Chord of Contact of Tangents to a ParabolaÂ
Co-normal Points
Conic Section
Relation Between $\mathbf{'}{{\mathbf{t}}_{\mathbf{1}}}\mathbf{'}$ and $\mathbf{'}{{\mathbf{t}}_{\mathbf{2}}}\mathbf{'}$ if Normal at $\mathbf{'}{{\mathbf{t}}_{\mathbf{1}}}\mathbf{'}$ Meets the Parabola Again at $\mathbf{'}{{\mathbf{t}}_{\mathbf{2}}}\mathbf{'}$
Conic Section
Point of Intersection of Normals at Any Two Points on The Parabola
Conic Section
Equations of Normal in Different Forms
Conic Section
Equation of Pair of Tangents From a Point to a Parabola
Conic Section
Point of Intersection of Tangents at Any Two Points on The Parabola
Conic Section
Equations of Tangent in Different Forms
Conic Section
Position of a Point and a Line With Respect to a Parabola
Conic Section
Parametric Equations of a Parabola
Conic Section
Special form of Parabola ${{\mathbf{(yk)}}^{\mathbf{2~}}}\mathbf{= 4a}\,\,\mathbf{(xh)= a}$
Conic Section
Standard Equation of The Parabola
Definition
Conic Section
Recognisation of Conics
Conic Section
General Equation of a Conic Section When Its Focus, Directrix and Eccentricity are Given
Conic Section
Definitions of Various Important Terms
Definition
Conic Section
Image of The Circle by The Line Mirror
Limiting Points
Circle and System of Circles
Co-axial System of Circles
Circle and System of Circles
Family of Circles
Circle and System of Circles
Angle of Intersection of Two Circles
Circle and System of Circles
Common Tangents to Two Circles
Pole and Polar
Circle and System of Circles
Diameter of a Circle
Circle and System of Circles
Common Chord of Two Circles
Circle and System of Circles
Chord of Contact of Tangents
Circle and System of Circles
Normal to a Circle at a Given Point
Circle and System of Circles
Power of Point with Respect to a Circle
Director Circle
Pair of Tangents
Circle and System of Circles
Length of Tangent
Circle and System of Circles
Tangent to a Circle at a Given Point
Circle and System of Circles
Intersection of a Line and a Circle
Circle and System of Circles
Position of a Point With Respect to a Circle
Circle and System of Circles
Intercepts on the Axes
Circle and System of Circles
Equation of a Circle in Some Special Cases
Circle and System of Circles
Standard Forms of Equation of a Circle
Definition
Circle and System of Circles
Divisibility Problems
Binomial Theorem and Mathematical Induction
Second Principle of Mathematical Induction
Binomial Theorem and Mathematical Induction
First Principle of Mathematical Induction
Binomial Theorem and Mathematical Induction
Some Important Points
Binomial Theorem and Mathematical Induction
Three / Four Consecutive Terms or Coefficients
Binomial Theorem and Mathematical Induction
Binomial Theorem for any Index
Binomial Theorem and Mathematical Induction
Multinomial Theorem (for Positive Integral Index)
Binomial Theorem and Mathematical Induction
An Important Theorem
Binomial Theorem and Mathematical Induction
Use of Differentiation and Integration in Binomial Theorem
Binomial Theorem and Mathematical Induction
Properties of Binomial Coefficients
Binomial Theorem and Mathematical Induction
Greatest Term and Greatest Coefficient
Binomial Theorem and Mathematical Induction
To Determine a Particular Term in the Expansion
Middle Term
Binomial Theorem and Mathematical Induction
Number of Terms In The Expansion of ${{(a+b+c)}^{n}}$ and ${{(a+b+c+d)}^{n}}$
Binomial Theorem and Mathematical Induction
Independent Term or Constant Term
General Term
Binomial Theorem and Mathematical Induction
Some Important Expansions
Binomial Theorem and Mathematical Induction
Binomial Theorem for Positive Integral Index
Binomial Theorem and Mathematical Induction
Binomial Expression
Binomial Theorem and Mathematical Induction
Number of Divisors
Permutations and Combinations
Multinomial Theorem
Permutations and Combinations
Some Important Results For Geometrical Problems
Derangement
Permutations and Combinations
Division Into Groups
Permutations and Combinations
Conditional Combinations
Permutations and Combinations
Number of Combinations With Repetition and All Possible Selections
Permutations and Combinations
Number of Combinations Without Repetition
Definition
Permutations and Combinations
Circular Permutations
Permutations and Combinations
Conditional Permutations
Permutations and Combinations
Number of permutations with repetition
Permutations and Combinations
Number of Permutations Without Repetition
Permutations and Combinations
Definition of Permutation
Introduction
Permutations and Combinations
Some Important Result
Equations Which Can Be Reduced to Linear, Quadratic and Biquadratic Equations
Rational Algebraic Inequations
Descarte's Rule of Signs
Position of Roots
Wavy Curve Method
Properties of Quadratic Equation
Condition for Common Roots
Higher Degree Equations
Relations Between Roots and Coefficients
Nature of Roots
Solution of Quadratic Equation
Types of Quadratic Equation
Polynomial
Composition of Relations
Set Theory and Relations
Equivalence Classes of An Equivalence Relation
Set Theory and Relations
Types of Relations
Inverse Relation
Definition
Set Theory and Relations
Cartesian Product of Sets
Set Theory and Relations
Laws of Algebra of Sets
Set Theory and Relations
Some important results on number of elements in sets
Set Theory and Relations
Operations on sets
Set Theory and Relations
Venn-Euler Diagrams
Types of Sets
Introduction
Set Theory and Relations
Nomenclature Of Simple Aromatic CompoundsÂ
Organic Chemistry: Some Basic Principles & Techniques
Nomenclature Of Spiro Compounds
Organic Chemistry: Some Basic Principles & Techniques
Nomenclature Of Special Compounds
Organic Chemistry: Some Basic Principles & Techniques
Nomenclature Of Bicyclic Compounds
Organic Chemistry: Some Basic Principles & Techniques
Bond-Line Notation Of Organic Compounds
Organic Chemistry: Some Basic Principles & Techniques
IUPAC System Of Nomenclature Of Complex CompoundsÂ Â Â Â Â Â
Organic Chemistry: Some Basic Principles & Techniques
General Rules For Naming Organic Compounds
Alkyl groups
Organic Chemistry: Some Basic Principles & Techniques
Classification Of Carbon Atoms In Organic Compounds
Organic Chemistry: Some Basic Principles & Techniques
Nomenclature Of Organic Compounds
Organic Chemistry: Some Basic Principles & Techniques
New High Performance Materials
Detergents
Chemistry in Everyday Life
Plant Growth Hormones
Chemistry in Everyday Life
Pheromones, Sex Attractants
Chemistry in Everyday Life
Chemicals in food
Chemistry in Everyday Life
Â Chemical in cosmetics
Chemistry in Everyday Life
Rocket Propellant
Chemistry in Everyday Life
Drugs and Chemotherapy
Dyes
Chemistry in Everyday Life
Classification Of Organic CompoundsÂ Â Â
Organic Chemistry: Some Basic Principles & Techniques
Organometallic Compounds
Haloalkanes and Haloarenes
Some More Important Halogen Derivatives
Haloalkanes and Haloarenes
Halo-Arenes Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â
Haloalkanes and Haloarenes
Allyl iodide or 3-iodopropene-1, $IC{{H}_{\mathbf{2}}}CH\text{ }=\text{ }C{{H}_{\mathbf{2}}}$
Haloalkanes and Haloarenes
Purification And Characterisation Of Organic Compounds
Organic Chemistry: Some Basic Principles & Techniques
Unsaturated Halides (Halo-alkene)
Haloalkanes and Haloarenes
Tetra-Halides (Carbon tetrachloride, $CC{{l}_{4}}$)
Haloalkanes and Haloarenes
Tri-halides (Chloroform and iodoform)
Preparations And Properties Of Dihalides
Haloalkanes and Haloarenes
Properties Of Alkyl Halides
Haloalkanes and Haloarenes
General methods of preparation of Alkyl Halides
Haloalkanes and Haloarenes
Chemical Reactions Involved In The Tests Of Basic Radicals
Volumetric Analysis
Analytical Chemistry
Systematic Procedure For Qualitative Analysis Of Inorganic Salts
Analytical Chemistry
Test For Different Gases
Alloys
Metallurgy
Refractory Materials
Furnaces
Metallurgy
Main Types Of Metallurgical Processes
Metallurgy
Extraction of Metals: Metallurgy
Metallurgy
Metals in Biology
Metallurgy
Occurrence of Metals
Metallurgy
Liquefaction Of GasesÂ
States of Matter
Specific And Molar Heat Capacity Of Gases
States of Matter
Degrees Of Freedom Of A Gaseous MoleculeÂ
States of Matter
The Critical State
States of Matter
Vander Waal's Equation
States of Matter
Real and Ideal gases
States of Matter
Molecular Speeds Or Velocities
States of Matter
Molecular Collisions
States of Matter
Kinetic Theory Of Gases
States of Matter
Graham's Law Of Diffusion And Effusion
States of Matter
Dalton's Law Of Partial Pressures
States of Matter
Ideal Gas Equation
States of Matter
Gay-Lussacs Law (Amonton's law)
Charles Law
Boyle's law
States of Matter
Measurable Properties Of Gases
States of Matter
Characteristics Of Gases
Vitamins
Biomolecules
Digestion of food
Biomolecules
Energy cycle or metabolism
Biomolecules
Â LipidsÂ Â Â Â Â Â Â Â Â Â Â Â Â Â
Nucleic acids
Amino acids
Biomolecules
Polysaccharide (Starch and cellulose)
Disaccharides
Polymers
Molecular Masses of Polymers
Polymers
Some Important Polymer and Their Uses
Rubber
Polymers
General Methods and Mechanism of Polymerisation
Polymers
Classification of Polymers
Polymers
Diazonium salts Â
Nitrogen Containing Compounds
Some important conversions
Aniline
Amines
Nitrogen Containing Compounds
Cyanides and Isocyanides
Nitrogen Containing Compounds
Aromatic Nitro Compounds
Nitrogen Containing Compounds
Alkyl nitrites and nitro alkanes
Nitrogen Containing Compounds
Fructose, fruit sugar $({{C}_{6}}{{H}_{12}}{{O}_{6}})$ or ketohexose
Acid derivatives
Carboxylic Acids
Glucose; $({{C}_{6}}{{H}_{12}}{{O}_{6}})$ or Aldo-hexoseÂ
Carbohydrates
Biomolecules
Aromatic Carboxylic Acids
Carboxylic Acids
Substituted Carboxylic Acids
Carboxylic Acids
Higher Fatty Acids
Carboxylic Acids
Unsaturated Dicarboxylic Acids
Carboxylic Acids
Dicarboxylic Acids
Interconversions
Carboxylic Acids
Individual Members Of Monocarboxylic Acids
Carboxylic Acids
Chemical Properties Of Monocarboxylic Acids
Carboxylic Acids
Acidic Nature Of Monocarboxylic Acids
Carboxylic Acids
Methods Of Preparation Of Monocarboxylic Acid
Classification
Carboxylic Acids
Benzophenone, ${{\mathbf{C}}_{\mathbf{6}}}{{\mathbf{H}}_{\mathbf{5}}}\mathbf{CO}{{\mathbf{C}}_{\mathbf{6}}}{{\mathbf{H}}_{\mathbf{5}}}$
Aldehydes, Ketones
Acetophenone, ${{\mathbf{C}}_{\mathbf{6}}}{{\mathbf{H}}_{\mathbf{5}}}\mathbf{COC}{{\mathbf{H}}_{\mathbf{3}}}\mathbf{,}$ Acetyl Benzene
Aldehydes, Ketones
Aromatic Carbonyl Compounds
Aldehydes, Ketones
Some Commercially Important Aliphatic Carbonyl Compounds
Aldehydes, Ketones
Test Of Aldehydes And Ketones (Distinction)
Aldehydes, Ketones
Chemical Properties Of Carbonyl Compounds
Aldehydes, Ketones
Physical Properties Of Carbonyl Compounds
Aldehydes, Ketones
Preparation Of Carbonyl Compounds
Introduction
Ether
Alcohols, Phenols and Ethers
Derivatives Of Phenol
Alcohols, Phenols and Ethers
Phenol (Carbolic acid), ${{C}_{6}}{{H}_{5}}OH$ or Hydroxy benzene
Alcohols, Phenols and Ethers
Unsaturated Alcohols (Allyl alcohol)
Alcohols, Phenols and Ethers
Trihydric Alcohols.
Alcohols, Phenols and Ethers
Dihydric Alcohols
Alcohols, Phenols and Ethers
Monohydric Alcohols
Alcohols, Phenols and Ethers
Bi-phenyl ${{C}_{6}}{{H}_{5}}\text{ }{{C}_{6}}{{H}_{5}}$
Hydrocarbons
Styrene $({{C}_{6}}{{H}_{5}}CH=C{{H}_{2}})\text{ }$
Hydrocarbons
Xylenes (Dimethyl benzene) ${{C}_{6}}{{H}_{4}}{{(C{{H}_{3}})}_{2}}$
Hydrocarbons
Toluene, methyl benzene or phenyl methane
Hydrocarbons
Directive Effect In Substituted Benzene Derivatives
Hydrocarbons
Benzene $\left( {{\mathbf{C}}_{\mathbf{6}}}{{\mathbf{H}}_{\mathbf{6}}} \right)$
Hydrocarbons
General Characteristics Of Arenes
Hydrocarbons
Aromatic Hydrocarbon
Dienes
Cycloalkene
Hydrocarbons
Distinction Between Alkanes, Alkenes And Alkynes
Hydrocarbons
Separation of alkane, alkene and alkyne Â
Alkynes
Alkenes
Hydrocarbons
Individual members of alkanes
Hydrocarbons
Alkanes [Paraffines] Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â
Hydrocarbons
Characteristics Of Hydrocarbons
Hydrocarbons
Aliphatic Hydrocarbon
Hydrocarbons
Conformational Isomerism Â
Monosaccharides
Biomolecules
Â LipidsÂ Â Â Â Â Â Â Â Â Â Â Â Â Â
Biomolecules
Optical Isomerism
GOC
Geometrical Or Cis-Trans Isomerism
GOC
Constitutional or structural isomerism
Isomerism
GOC
Rearrangement Reactions
GOC
Elimination Reactions
GOC
Types Of Organic Reactions
GOC
Attacking Reagents
GOC
Reaction Intermediates
GOC
Cleavage (Fission Or Breaking) Of Covalent Bonds
GOC
Electromeric Effect
GOC
Inductomeric Effect
GOC
Hyperconjugative Effect
GOC
Resonance Effect Or Mesomeric Effect
GOC
Inductive Effect Or Transmission Effect
GOC
Electronic Displacement In Covalent Bonds
Steric effect
GOC
Hybridisation In Organic Compounds
GOC
Bonding in co-ordination compounds (Werner's Coordination theory)
Coordination Chemistry
Isomerism In Co-ordination Compounds
Coordination Chemistry
Iupac Nomenclature Of Complex Compounds
Coordination Chemistry
Terminology Of Co-ordination Compounds
Coordination Chemistry
Double Salts And Co-ordination Compounds
Coordination Chemistry
Lanthanides And Actinides
The d-and f-Block Elements
Mercury And Its Compounds
The d-and f-Block Elements
Zinc And Its Compounds
The d-and f-Block Elements
Gold and its Compounds
The d-and f-Block Elements
Copper and its Compounds
The d-and f-Block Elements
Iron And Its Compounds
The d-and f-Block Elements
Manganese Containing Compound
The d-and f-Block Elements
Lanthanides And Actinides
The d-and f-Block Elements
Mercury And Its Compounds
The d-and f-Block Elements
Zinc And Its Compounds
The d-and f-Block Elements
Gold and its Compounds
The d-and f-Block Elements
Copper and its Compounds
The d-and f-Block Elements
Iron And Its Compounds
The d-and f-Block Elements
Chromium containing compounds
The d-and f-Block Elements
Physico-Chemical Properties Of d-Block Elements
The d-and f-Block Elements
d-Block Elements Â Â
Oxygen Family
Noble Gases
Halogen Family
Nitrogen Family
Carbon Family
Boron Family
S-Block Elements
Alkaline Earth Metals and Their CompoundsÂ
S-Block Elements
Alkali Metals And Their Compounds
S-Block Elements
Hydrogen Peroxide
Hydrogen & Its Compounds
Hydrogen Peroxide
Water
Hydrogen & Its Compounds
Isotopes of Hydrogen
Hydrogen
Furnaces
Alloys
General Principles and Proccess of Isolation of Elements
Refractory Materials
General Principles and Proccess of Isolation of Elements
Main Types Of Metallurgical Processes
General Principles and Proccess of Isolation of Elements
Extraction of Metals: Metallurgy
General Principles and Proccess of Isolation of Elements
Metals in Biology
General Principles and Proccess of Isolation of Elements
Occurrence of Metals
General Principles and Proccess of Isolation of Elements
Diagonal relationship
Classification of Elements and Periodicity in Properties
Some other periodic properties
Classification of Elements and Periodicity in Properties
Electronegativity
Classification of Elements and Periodicity in Properties
Electron affinity
Classification of Elements and Periodicity in Properties
Ionisation potential or ionisation energy
Classification of Elements and Periodicity in Properties
Covalent, Ionic And Vander Waal's Radii
Classification of Elements and Periodicity in Properties
Effective nuclear charge
Classification of Elements and Periodicity in Properties
The screening effect or shielding effect
Classification of Elements and Periodicity in Properties
Periodicity in properties
Classification of Elements and Periodicity in Properties
Extended or long form of periodic table
Classification of Elements and Periodicity in Properties
Classification Of Element On The Basis Of Electronic Configuration
Classification of Elements and Periodicity in Properties
Earlier Attempt To Classify Elements
Classification of Elements and Periodicity in Properties
Theories Of Catalysis
Surface Chemistry
Application Of Colloids
Surface Chemistry
Motional EMI Due to Rotational Motion
Electro Magnetic Induction
Triode as an Amplifiers
Semiconducting Devices
Constants of Triode Valve
Semiconducting Devices
Characteristic Curves of a Diode
Diode Valve
Semiconducting Devices
Vacuum Tubes and Thermionic Valves
Semiconducting Devices
Thermionic Emission
Semiconducting Devices
Electron Emission from Metal
Semiconducting Devices
Valve Electronics
Semiconducting Devices
Logic Gates Using 'NAND' Gate
Semiconducting Devices
Combination of Logic Gates
The 'NOT' Gate
The 'AND' Gate
The 'OR' Gate
Semiconducting Devices
Logic Gates and Truth Table
Boolean Algebra
Voltage Signal
Semiconducting Devices
Decimal and Binary Number System
Semiconducting Devices
Digital Electronics
Semiconducting Devices
Transistor as an Oscillator
Semiconducting Devices
Different Gains in CE/CB Amplifiers
Semiconducting Devices
Transistor as an Amplifier
Semiconducting Devices
Field-Effect Transistor
Semiconducting Devices
Transistor Configurations
Semiconducting Devices
Working of Transistor
Transistor
Semiconducting Devices
P-N Junction Diode as a Rectifier
Semiconducting Devices
Special Purpose Diodes
Semiconducting Devices
Reverse Breakdown
Biasing
Semiconducting Devices
P-N Junction Diode
Semiconducting Devices
Conductivity of Semiconductor
Semiconducting Devices
Density of Charge Carriers
Semiconducting Devices
P-Type Semiconductor
Semiconducting Devices
N-Type Semiconductor
Semiconducting Devices
Extrinsic Semiconductor
Semiconducting Devices
Intrinsic Semiconductors
Semiconducting Devices
Holes in Semiconductors
Energy Bands
Semiconducting Devices
Single, Poly and Liquid Crystals
Semiconducting Devices
Bonding Forces in Crystals
Semiconducting Devices
Earth's Atmosphere
EM Spectrum
Wave Optics
Properties of EM Waves
Wave Optics
Source, Production and Nature of EM Waves
Wave Optics
Experimental Setup for Producing EM Waves
Wave Optics
History of EM Waves
Wave Optics
Maxwell's Contribution
Wave Optics
Electromagnetic Waves
Wave Optics
Methods of Producing Polarised Light
Wave Optics
Polarisation of Light
Zone Plate
Wave Optics
Diffraction Due to a Circular Aperture
Wave Optics
Diffraction Due to a Circular Disc
Wave Optics
Fresnel's Half Period Zone (HPZ)
Wave Optics
Diffraction Gratings
Wave Optics
Diffraction at Single Slit (Fraunhoffer Diffraction)
Wave Optics
Types of Diffraction
Wave Optics
Hexagonal Close Packed (HCP) Structure
Semiconducting Devices
Diffraction of Light
Wave Optics
Doppler's Effect of Light
Wave Optics
Different Types of Symmetry in Cubic Lattices
Newton's Rings
Wave Optics
Terms Related with Crystal Structure
Solids
Semiconducting Devices
Fresnel's Biprims
Wave Optics
Semiconductor electronics
Lloyd's Mirror
Wave Optics
Interference in Thin Films
Transformer
Electro Magnetic Induction
dc GeneratorÂ Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â
Electro Magnetic Induction
Missing Wavelength in Front of One Slit in YDSE
Wave Optics
ac Generator/Alternator/Dynamo
dc Motor
Eddy Current
LC- Oscillation
Electro Magnetic Induction
Fringe Visibility (V)
Wave Optics
Growth and Decay of Current In LR- Circuit
Electro Magnetic Induction
Shifting of Fringe Pattern in YDSE
Wave Optics
Combination of Inductance
Mutual Induction
Electro Magnetic Induction
Condition for Observing Interference
Useful Results
Wave Optics
Young's Double Slit Experiment (YDSE)
Wave Optics
Interference of Light
Coherence
Wave Optics
Resultant Amplitude and Intensity
Important Terms
Wave Optics
Super Position of Waves
Wave Optics
Reflection and Refraction of Wavefront
Wavefront
Wave Optics
Huygen's Wave Theory
Wave Optics
Newton's Corpuscular Theory
Photometry
Ray Optics
Resolving Limit and Resolving Power
Binocular
Ray Optics
Reflecting Telescope
Ray Optics
Galilean Telescope
Ray Optics
Terrestrial Telescope
Ray Optics
Astronomical Telescope (Refracting Type)
Microscope
Lens Camera
Defects in Eye
Human Eye
Spectrum
Ray Optics
Colours of Objects
Rainbow
Ray Optics
Scattering of Light
Ray Optics
Dispersion Through a Prism
Prism
Defects in Lens
Ray Optics
Silvering of Lens
Ray Optics
Combination of Lens
Self Induction
Cutting of Lens
Ray Optics
Displacement Method
Ray Optics
Lens Immersed in a Liquid
Inductance
Newton's Formula
Periodic EMI
Magnification
Ray Optics
Motional Emi in Loop by Generated Area
Electro Magnetic Induction
Lens Maker's Formula and Lens Formula
Ray Optics
Dynamic (Motional) EMI Due to Translatory Motion
Electro Magnetic Induction
Induced Electric Field
Electro Magnetic Induction
Rules of Image Formation by Lens
Lenz's Law
Electro Magnetic Induction
Focal Length, Power and Aperture of Lens
Ray Optics
Faraday's Laws of Electromagnetic Induction
Magnetic Flux
Lens
Ray Optics
Refraction From Spherical Surface
Ray Optics
Common Examples of TIR
Ray Optics
Total Internal Reflection (TIR)
Ray Optics
Refraction Through a Glass Slab
Ray Optics
Real and Apparent Depth
Refractive Index
Ray Optics
Refraction of Light
Ray Optics
Mirror Formula and Magnification
Ray Optics
Image Formation by Curved Mirrors
Ray Optics
Curved Mirror
Reflection From a Plane Surface (Plane Mirror)
Ray Optics
Reflection of Light
Ray Optics
Real and Virtual Images
Ray Optics
Helium-Neon Laser
Communication System
Principle of Laser
Communication System
Concepts Related to Production of LASER Â
Laser
Communication System
Advantages of Optical Fibres Over Wires
Optical Fibre
Communication System
Optical Communication
Communication System
Impedance of Line
Communication System
Two Wire Transmission Line
Communication System
Line Communication
Remote Sensing
Communication System
Satellite Communication
Communication System
Space Wave Propagation
Communication System
Space Communication
Modem and Fax
Communication System
Data Transmission and Retrieval
Demodulation
Communication System
Pulse Code Modulation
Pulse Modulation
Communication System
Frequency Modulation (FM)
Communication System
Amplitude Modulation (AM)
Modulation
Communication System
Analog and Digital Signals
Communication System
Types of Communication System
Communication System
Basic Communication System
Communication
Communication System
Uses of Radioactive Isotopes
Nuclear Physics
Successive Disintegration and Radioactive Equilibrium
Nuclear Fusion
Nuclear Reactor
Nuclear Physics
Difficulties in Chain ReactionÂ Â Â Â Â Â Â Â Â Â
Chain Reaction
Nuclear Fission
Nuclear Physics
Nuclear Reactions
Binding Energy Curve
Nuclear Physics
Mass Defect and Binding Energy
Nuclear Physics
Nuclear Stability
Nuclear Physics
Pair Production and Pair-Annihilation
Nuclear Physics
Atomic Mass Unit (amu)
Nuclear Force
Size of Nucleus
Types of Nuclei
Thermal Neutrons
Neutron
Nucleus
Nuclear Physics
Electronic Configurations of Atoms
Quantum Numbers
Atomic Physics
Hydrogen Spectrum and Spectral Series
Atomic Physics
Transition of Electron
Energy
Atomic Physics
Bohr's Orbits (for Hydrogen and ${{H}_{2}}$-like Atoms)
Atomic Physics
Draw Backs of Bohr's Atomic Model
Atomic Physics
Bohr's Atomic Model
Atomic Physics
Failure of Rutherford's Model
Atomic Physics
Rutherford's Atomic Model
Atomic Physics
a-Scattering Experiment
Atomic Physics
Thomson's Atomic Model
Uses of X-Rays
Mosley's Law
Photo Electric Effect, X- Rays & Matter Waves
Characteristic X-Rays
Photo Electric Effect, X- Rays & Matter Waves
Continuous X-Rays
Photo Electric Effect, X- Rays & Matter Waves
Classification of X-Rays
Photo Electric Effect, X- Rays & Matter Waves
Absorption of X-Rays
Photo Electric Effect, X- Rays & Matter Waves
Properties of X-Rays
Photo Electric Effect, X- Rays & Matter Waves
Coolidge X-Ray Tube
X-Rays
Compton Effect
Photo Electric Effect, X- Rays & Matter Waves
Important Formulae for Photoelectric Effect
Photo Electric Effect, X- Rays & Matter Waves
Effect of Intensity and Frequency of Light
Photo Electric Effect, X- Rays & Matter Waves
Experimental Setup for Photoelectric Effect
Photo Electric Effect, X- Rays & Matter Waves
Photo-Electric Effect
Photon
Photo Electric Effect, X- Rays & Matter Waves
Heisenberg Uncertainty Principle
Photo Electric Effect, X- Rays & Matter Waves
Davision and Germer Experiment
Photo Electric Effect, X- Rays & Matter Waves
Characteristics of Matter Waves
Photo Electric Effect, X- Rays & Matter Waves
Matter Waves (de-Broglie Waves)
Photo Electric Effect, X- Rays & Matter Waves
Bainbridge Mass Spectrograph
Photo Electric Effect, X- Rays & Matter Waves
Thomson's Mass Spectrograph
Positive Rays
Photo Electric Effect, X- Rays & Matter Waves
Millikans Oil Drop Experiment
Photo Electric Effect, X- Rays & Matter Waves
J.J. Thomson's Experiment
Cathode Rays
Photo Electric Effect, X- Rays & Matter Waves
Electric Discharge Through Gases
Choke Coil
Wattless Current
Alternating Current
Parallel RLC Circuits
Alternating Current
Series RLC-Circuit
Alternating Current
Inductive, Capacitive Circuit (LC-Circuit)
Alternating Current
Resistive, Capacitive Circuit (RC-Circuit)
Alternating Current
Resistive, Inductive Circuit (RL-Circuit)
Alternating Current
Capacitive Circuit (C-Circuit)
Alternating Current
Inductive Circuit (L-Circuit)
Alternating Current
Resistive Circuit (R-Circuit)
Power Factor
Alternating Current
Power in ac Circuits
Alternating Current
Impedance, Reactance, Admittance and Susceptance
Alternating Current
Measurement of Alternating Quantities
Phase
Alternating Current
Important Values of Alternating Quantities
Alternating Current
Alternating Quantities (i or V)
Alternating Current
Magnetic Maps and Neutral Points
Hysteresis Curve
Magnetism
Magnetic Materials
Magnetism
Vibration Magnetometer
Magnetism
Deflection Magnetometer
Magnetism
Tangent Galvanometer
Tangent Law
Magnetism
Magnetic Maps and Neutral Points
Magnetic Effects of Current
Elements of Earth's Magnetic Field
Magnetism
Earth's Magnetic Field (Terrestrial Magnetism)
Force and Field
Magnetism
Various Terms Related to Magnetism
Bar Magnet
Magnetism
Magnetism
Force On a Current Carrying Conductor In Magnetic Field
Hall Effect
Cyclotron
Lorentz Force
Magnetic Effects of Current
Trajectory of a Charged Particle in a Magnetic Field
Magnetic Effects of Current
Moving Coil Galvanometer
Magnetic Effects of Current
Behaviour of Current Loop in a Magnetic Field
Magnetic Effects of Current
Current Loop as a Magnetic Dipole
Magnetic Effects of Current
Standard Cases For Force on Current Carrying Conductors
Magnetic Effects of Current
Force Between Two Moving Charges
Magnetic Effects of Current
Force Between Two Parallel Current Carrying Conductors
Magnetic Effects of Current
Force On a Charged Particle in Magnetic Field
Toroid
Solenoid
Magnetic Effects of Current
Magnetic Field Due to an Infinite Sheet Carrying Current
Magnetic Effects of Current
Magnetic Field Due to a Cylindrical Wire
Magnetic Effects of Current
Magnetic Field Due to a Straight Wire
Magnetic Effects of Current
Magnetic Field at Centre O in Different Conditions of Circular Current
Magnetic Effects of Current
Magnetic Field Due to Circular Current
Ampere's Law
Magnetic Effects of Current
Meaning of Cross and dot
Magnetic Effects of Current
Direction of Magnetic Field
Magnetic Effects of Current
Biot-Savart's Law
Magnetic Effects of Current
Application of Thermo Electric Effect
Thomson's Effect
Peltier Effect
Seeback Effect
Current Electricity, Charging & Discharging Of Capacitors
Electro Chemical Cell
Current Electricity, Charging & Discharging Of Capacitors
Faraday's Law of Electrolysis
Current Electricity, Charging & Discharging Of Capacitors
Chemical Effect of Current
Current Electricity, Charging & Discharging Of Capacitors
Combination of Bulbs
Current Electricity, Charging & Discharging Of Capacitors
Electricity Consumption
Electric Power
Joules Heating
Current Electricity, Charging & Discharging Of Capacitors
Application of Potentiometer
Potentiometer
Current Electricity, Charging & Discharging Of Capacitors
Different Measuring Instruments
Kirchoff's Laws
Current Electricity, Charging & Discharging Of Capacitors
Grouping of Cells
Current Electricity, Charging & Discharging Of Capacitors
Cell in Various Positions
Cell
Current Electricity, Charging & Discharging Of Capacitors
Grouping of Resistance
Current Electricity, Charging & Discharging Of Capacitors
Colour Coding of Resistance
Current Electricity, Charging & Discharging Of Capacitors
Electrical Conducting Materials For Specific Use
Current Electricity, Charging & Discharging Of Capacitors
Stretching of Wire
Current Electricity, Charging & Discharging Of Capacitors
Resistivity (p), Conductivity and Conductance (C)
Resistance
Ohm's Law
Drift Velocity
Current Electricity, Charging & Discharging Of Capacitors
Current Density (J )
Electric Current
Current Electricity, Charging & Discharging Of Capacitors
Kirchhoff?s Law for Capacitor Circuits
Electrostatics & Capacitance
Charging and Discharging of Capacitor in Series RC Circuit
Electrostatics & Capacitance
Grouping of Capacitor
Electrostatics & Capacitance
Capacity of Various Capacitor
Dielectric
Electrostatics & Capacitance
Capacitor or Condenser
Electrostatics & Capacitance
Redistribution of Charges and Loss of Energy
Electrostatics & Capacitance
Combination of Charged Drops
Capacitance
Electrostatics & Capacitance
Gauss's Law and it's Application
Electric Flux
Electric Dipole
Electrostatics & Capacitance
Equilibrium of Charged Soap Bubble
Electrostatics & Capacitance
Force on a Charged Conductor
Electrostatics & Capacitance
Electrostatic Potential Energy
Electrostatics & Capacitance
Neutral Point and Zero Potential
Electrostatics & Capacitance
Time Period of Oscillation of a Charged Body
Electrostatics & Capacitance
Equilibrium of Charges
Electrostatics & Capacitance
Electric Lines of Force
Electrostatics & Capacitance
Motion of Charge Particle in Electric Field
Electrostatics & Capacitance
Equipotential Surface
Electrostatics & Capacitance
Relation Between Electric Field and Potential
Electrostatics & Capacitance
Potential Due to Concentric SpheresÂ
Electrostatics & Capacitance
Electric Field and Potential Due to Various Charge Distribution
Electrostatics & Capacitance
Electric Potential
Electric Field
Coulomb's Law
Electroscope
Electrostatics & Capacitance
Methods of Charging
Electric Charge
Electrostatics & Capacitance
Accoustics of Buildings
Musical Sound
Wave Mechanics
Conditions for No Doppler's Effect
Wave Mechanics
Some Typical Cases of Doppler's Effect
Wave Mechanics
Common Cases in Doppler's Effect
Doppler's Effect
Wave Mechanics
Determination of Unknown Frequency
Beats
Kundt's Tube
Resonance Tube
End Correction
Tuning Fork
Wave Mechanics
Standing Wave in a Organ Pipe
Wave Mechanics
Vibration of Composite Strings
Sonometer
Wave Mechanics
Melde's Experiment
Wave Mechanics
Standing Waves on a String
Wave Mechanics
Terms Related to the Application of Stationary Wave
Wave Mechanics
Characteristics of Standing Waves
Wave Mechanics
Standing Waves or Stationary Waves
Quink's Tube
Wave Mechanics
Interference of Sound Waves
Wave Mechanics
Principle of Superposition
Echo
Wave Mechanics
Reflection and Refraction of Waves
Pressure Waves
Wave Mechanics
Equation of a Plane Progressive Waves
Wave Mechanics
Factors Affecting Velocity of Sound in Gaseous Medium
Wave Mechanics
Velocity of Longitudinal Wave (Sound Wave)
Wave Mechanics
Velocity of Transverse Wave
Wave Mechanics
Important Terms Regarding Wave Motion
Types of Waves
Wave Mechanics
Characteristics of Wave Motion
Waves
Wave Mechanics
Super Position of S.H.M's (Lissajous Figures)
Simple Harmonic Motion
Free, Damped, Forced and Maintained Oscillations
Simple Harmonic Motion
Various Formulae of S.H.M.
Simple Harmonic Motion
Oscillation of Spring Combination
Spring Pendulum
Spring System
Simple Harmonic Motion
Some Other Types of Pendulum
Simple Harmonic Motion
Oscillation of Pendulum in Different Situations
Simple Harmonic Motion
Factor Affecting Time Period of Simple Pendulum
Simple Pendulum
Simple Harmonic Motion
How to Find Frequency and Time Period of S.H.M.
Simple Harmonic Motion
Differential Equation of S.H.M.
Simple Harmonic Motion
Average Value of P.E. and K.E.
Energy in S.H.M.
Simple Harmonic Motion
Comparative Study of Displacement Velocity and Acceleration
Simple Harmonic Motion
Acceleration in S.H.M.
Simple Harmonic Motion
Velocity in S.H.M.
Simple Harmonic Motion
Displacement in S.H.M.
Simple Harmonic Motion
Some Important Definitions
Simple Harmonic Motion
Simple Harmonic Motion
Simple Harmonic Motion
Periodic and Oscillatory (Vibratory) Motion
Simple Harmonic Motion
Temperature of the Sun and Solar Constant
Transmission of Heat
Law of Distribution of Energy (Plank's Hypothesis)
Transmission of Heat
Wien's Displacement Law
Transmission of Heat
Distribution of Energy in the Spectrum of Black Body
Transmission of Heat
Determination of Specific Heat of Liquid
Cooling Curves
Transmission of Heat
Newton's Law of Cooling
Transmission of Heat
Rate of Loss of Heat <img
Stefan's Law
Transmission of Heat
Applications of Kirchoff's Law
Kirchoff's Law
Transmission of Heat
Prevost Theory of Heat Exchange
Transmission of Heat
Perfectly Black Body
Transmission of Heat
Emissive Power, Absorptive Power and Emissivity
Transmission of Heat
Interaction of Radiation with Matter
Transmission of Heat
Colour of Heated Object
Convection
Transmission of Heat
Growth of Ice on Lake
Transmission of Heat
Searle's Experiment
Transmission of Heat
Ingen-Hauz Experiment
Transmission of Heat
Combination of Metallic Rods
Transmission of Heat
Applications of Conductivity in Daily Life
Transmission of Heat
Conduction in Metallic Rod
Conduction
Transmission of Heat
Transmission of Heat
Entropy
Carnot Engine
Thermodynamical Processes
Second Law of Thermodynamics
Thermodynamical Processes
Refrigerator or Heat Pump
Heat Engine
Thermodynamical Processes
Mixed Graphical Representation
Thermodynamical Processes
Reversible and Irreversible Process
Thermodynamical Processes
Quasi Static Process
Thermodynamical Processes
Cyclic and Non-cyclic Process
Thermodynamical Processes
Isothermal Process
Thermodynamical Processes
Isochoric or Isometric Process
Isobaric Process
Thermodynamical Processes
First Law of Thermodynamics (FLOT)
Thermodynamical Processes
Heat, Internal Energy and Work in Thermodynamics
Thermodynamical Processes
Zeroth Law of Thermodynamics
Some Definitions
Thermodynamics
Gaseous Mixture
Kinetic Theory of Gases
Specific Heat in Terms of Degree of Freedom
Kinetic Theory of Gases
Mayer's FormulaÂ Â Â Â Â Â Â Â Â Â
Kinetic Theory of Gases
Specific Heat (${{C}_{P}}$ and ${{C}_{V}}$) of a Gas
Kinetic Theory of Gases
Law of Equipartition of Energy
Kinetic Theory of Gases
Kinetic Energy of Ideal Gas
Kinetic Theory of Gases
Degree of Freedom
Mean Free Path
Kinetic Theory of Gases
MaxwellÃ­s Law (or the Distribution of Molecular Speeds
Kinetic Theory of Gases
Various Speeds of Gas Molecules
Kinetic Theory of Gases
Pressure of an Ideal Gas
Real Gases
Kinetic Theory of Gases
Equation of State or Ideal Gas Equation
Gas Laws
Kinetic Theory of Gases
Assumption of Ideal Gases (or Kinetic Theory of Gases)
Gas
Heating Curve
Thermometry, Calorimetry & Thermal Expansion
Principle of Calorimetry
Thermometry, Calorimetry & Thermal Expansion
Joule's Law (Heat and Mechanical Work)
Thermometry, Calorimetry & Thermal Expansion
Some Important Terms
Thermometry, Calorimetry & Thermal Expansion
Thermal Capacity and Water Equivalent
Thermometry, Calorimetry & Thermal Expansion
Phase Change and Latent Heat
Thermometry, Calorimetry & Thermal Expansion
Specific Heat of Gases
Thermometry, Calorimetry & Thermal Expansion
Specific Heat of Liquid (Water)
Thermometry, Calorimetry & Thermal Expansion
Specific Heat of Solids
Specific Heat
Heat
Thermometry, Calorimetry & Thermal Expansion
Expansion of Gases
Thermometry, Calorimetry & Thermal Expansion
Variation of Density with Temperature
Thermometry, Calorimetry & Thermal Expansion
Thermal Expansion in Liquids
Thermometry, Calorimetry & Thermal Expansion
Application of Thermal Expansion in Solids
Thermometry, Calorimetry & Thermal Expansion
Scales of Temperature
Thermometry, Calorimetry & Thermal Expansion
Thermal Expansion
Thermometers
Thermometry
Temperature
Thermometry, Calorimetry & Thermal Expansion
Poiseuille's Formula
Fluid Mechanics, Surface Tension & Viscosity
Stoke's Law and Terminal Velocity
Fluid Mechanics, Surface Tension & Viscosity
Viscosity and Newton's law of Viscous Force
Fluid Mechanics, Surface Tension & Viscosity
Velocity of Efflux
Fluid Mechanics, Surface Tension & Viscosity
Applications of Bernoulli's Theorem
Fluid Mechanics, Surface Tension & Viscosity
Bernoulli's Theorem
Fluid Mechanics, Surface Tension & Viscosity
Energy of a Flowing Fluid
Fluid Mechanics, Surface Tension & Viscosity
Â Equation of Continuity
Fluid Mechanics, Surface Tension & Viscosity
Critical Velocity and Reynold's Number
Fluid Mechanics, Surface Tension & Viscosity
Streamline, Laminar and Turbulent Flow
Floatation
Fluid Mechanics, Surface Tension & Viscosity
Archimedes Principle
Pascal's Law
Density
Pressure
Introduction
Fluid Mechanics, Surface Tension & Viscosity
Useful Facts and Formulae
Shape of Drops
Ascent Formula
Capillarity
Angle of Contact
Fluid Mechanics, Surface Tension & Viscosity
Shape of Liquid Meniscus
Excess Pressure
Fluid Mechanics, Surface Tension & Viscosity
Formation of Bigger Drop
Fluid Mechanics, Surface Tension & Viscosity
Splitting of Bigger Drop
Fluid Mechanics, Surface Tension & Viscosity
Work Done in Blowing a Liquid Drop or Soap Bubble
Surface Energy
Fluid Mechanics, Surface Tension & Viscosity
Molecular Theory of Surface Tension
Fluid Mechanics, Surface Tension & Viscosity
Applications of Surface Tension
Fluid Mechanics, Surface Tension & Viscosity
Factors Affecting Surface Tension
Fluid Mechanics, Surface Tension & Viscosity
Examples of Surface Tension
Fluid Mechanics, Surface Tension & Viscosity
Force Due to Surface Tension
Surface Tension
Fluid Mechanics, Surface Tension & Viscosity
Intermolecular Force
Fluid Mechanics, Surface Tension & Viscosity
Practical Applications of Elasticity
Elasticity
Important Facts About Elasticity
Elasticity
Factors Affecting Elasticity
Elasticity
Elastic Hysteresis
Elasticity
Interatomic Force Constant
Elasticity
Torsion of Cylinder
Elasticity
Relation between $\mathbf{Y,}\,\mathbf{k,}\,\mathbf{\eta ,}\,$ and $\mathbf{\sigma }$
Elasticity
Relation Between Volumetric Strain, Lateral Strain and Poisson's Ratio
Poisson's Ratio
Elasticity
Modulus of Rigidity
Elasticity
Fractional Change in the Radius of Sphere
Elasticity
Density of Compressed Liquid
Bulk Modulus
Breaking of Wire
Elasticity
Work Done in Stretching a Wire
Elasticity
Young's Modulus (Y)
Elasticity
Hooke's law and Modulus of Elasticity
Elasticity
Stress-strain Curve
Strain
Stress
Elasticity
Elastic Property of Matter
Types of Solids
States of Matter
Elasticity
Comparison Between Interatomic and Intermolecular Forces
Elasticity
Intermolecular Forces
Elasticity
Interatomic Forces
Elasticity
Weightlessness in a Satellite
Weightlessness
Gravitation
Change in the Orbit of Satellite
Gravitation
Energy of Satellite
Gravitation
Angular Momentum of Satellite
Gravitation
Geostationary Satellite
Gravitation
Height of Satellite
Gravitation
Time Period of Satellite
Gravitation
Orbital Velocity of Satellite
Gravitation
Some Properties of the Planet
Gravitation
Velocity of a Planet in Terms of Eccentricity
Gravitation
Kepler's Laws of Planetary Motion
Escape Velocity
Gravitation
Work Done Against Gravity
Gravitation
Gravitational Potential Energy
Gravitation
Gravitational Potential for Different Bodies
Gravitation
Gravitational Potential
Gravitation
Gravitational Field Intensity for Different Bodies
Gravitation
Gravitational Field
Gravitation
Inertial and Gravitational Masses
Gravitation
Mass and Density of Earth
Gravitation
Variation in g Due to Rotation of Earth
Gravitation
Variation in g With Depth
Gravitation
Variation in g With Height
Gravitation
Variation in g Due to Shape of Earth
Gravitation
Acceleration Due to Gravity
Gravitation
Properties of Gravitational Force
Gravitation
Newton's law of Gravitation
Introduction
Gravitation
Collision Between Bullet and Vertically Suspended Block
Work, Energy, Power & Collision
Perfectly Inelastic Collision
Work, Energy, Power & Collision
Rebounding of Ball After Collision With Ground
Work, Energy, Power & Collision
Head on Inelastic Collision
Work, Energy, Power & Collision
Perfectly Elastic Oblique Collision
Work, Energy, Power & Collision
Perfectly elastic head on collision
Collision
Work, Energy, Power & Collision
Position and Velocity of an Automobile w.r.t Time
Important Points
Power
Work, Energy, Power & Collision
Law of Conservation of Energy
Work, Energy, Power & Collision
Velocity of Chain While Leaving the Table
Work, Energy, Power & Collision
Work Done in Pulling the Chain Against Gravity
Work, Energy, Power & Collision
Gravitational Potential Energy
Work, Energy, Power & Collision
Electrical Potential Energy
Work, Energy, Power & Collision
Elastic Potential Energy
Potential Energy
Work, Energy, Power & Collision
Stopping of Vehicle by Retarding Force
Kinetic Energy
Energy
Work, Energy, Power & Collision
Work Depends on Frame of Reference
Work, Energy, Power & Collision
Work Done in Conservative and Non-conservative Field
Work, Energy, Power & Collision
Work Done Calculation by Force Displacement Graph
Work, Energy, Power & Collision
Work Done by a Variable Force
Work, Energy, Power & Collision
Dimension and Units of Work
Work, Energy, Power & Collision
Nature of Work Done
Work, Energy, Power & Collision
Work Done by a Constant Force
Introduction
Work, Energy, Power & Collision
Sticking of a Person with the Wall of Rotor
NLM, Friction, Circular Motion
Sticking of a Block With Accelerated Cart
NLM, Friction, Circular Motion
Velocity at the Bottom of Rough Wedge
NLM, Friction, Circular Motion
Stopping of Two Blocks Due to Friction
NLM, Friction, Circular Motion
Stopping of Block Due to Friction
NLM, Friction, Circular Motion
Coefficient of Friction Between a Body and Wedge
NLM, Friction, Circular Motion
Maximum Length of Hung Chain
NLM, Friction, Circular Motion
Minimum Mass Hung from the String to Just Start the Motion
NLM, Friction, Circular Motion
Motion of an Insect in the Rough Bowl
NLM, Friction, Circular Motion
Motion of Two Bodies one Resting on the Other
NLM, Friction, Circular Motion
Work done against friction
NLM, Friction, Circular Motion
Acceleration of a Block Against Friction
NLM, Friction, Circular Motion
Calculation of Required Force in Different Situation
Angle of Repose
NLM, Friction, Circular Motion
Resultant Force Exerted by Surface on Block
NLM, Friction, Circular Motion
Angle of Friction
NLM, Friction, Circular Motion
Methods of Changing Friction
NLM, Friction, Circular Motion
Friction is a Cause of Motion
NLM, Friction, Circular Motion
Graph Between Applied Force and Force of Friction
NLM, Friction, Circular Motion
Types of Friction
Introduction
NLM, Friction, Circular Motion
Modification of Newton's Laws of motion
NLM, Friction, Circular Motion
Spring Balance and Physical Balance
NLM, Friction, Circular Motion
Motion of Connected Block Over A Pulley
NLM, Friction, Circular Motion
Motion of Blocks Connected by Mass Less String
NLM, Friction, Circular Motion
Motion of Blocks In Contact
NLM, Friction, Circular Motion
Acceleration of Block on Smooth Inclined Plane
NLM, Friction, Circular Motion
Acceleration of Block on Horizontal Smooth Surface
NLM, Friction, Circular Motion
Apparent Weight of a Body in a Lift
NLM, Friction, Circular Motion
Free Body Diagram
NLM, Friction, Circular Motion
Law of Conservation of Linear Momentum
Impulse
NLM, Friction, Circular Motion
Frame of Reference
NLM, Friction, Circular Motion
Newton's Third Law
NLM, Friction, Circular Motion
Â Equilibrium of Concurrent Force
Force
NLM, Friction, Circular Motion
Newton's Second Law
NLM, Friction, Circular Motion
Newton's First Law
Linear Momentum
Inertia
Point Mass
Conical Pendulum
Motion In Two Dimension
Motion in vertical circle
Motion In Two Dimension
Equations of Circular Motion
Motion In Two Dimension
Non-Uniform Circular Motion
Motion In Two Dimension
Reaction of Road On Car
Motion In Two Dimension
Motion of Charged Particle In Magnetic Field
Motion In Two Dimension
Overturning of Vehicle
Motion In Two Dimension
Banking of A Road
Motion In Two Dimension
Bending of A Cyclist
Motion In Two Dimension
Skidding of Object on A Rotating Platform
Motion In Two Dimension
Skidding of Vehicle on A Level Road
Motion In Two Dimension
Work Done by Centripetal Force
Motion In Two Dimension
Centrifugal Force
Motion In Two Dimension
Centripetal force
Motion In Two Dimension
Centripetal Acceleration
Motion In Two Dimension
Variables of Circular Motion
Circular Motion
Motion In Two Dimension
Projectile Motion on An Inclined Plane
Motion In Two Dimension
Horizontal Projectile
Motion In Two Dimension
Oblique Projectile
Motion In Two Dimension
Types of Projectile Motion
Motion In Two Dimension
Principle of Physical Independence of Motions
Motion In Two Dimension
Assumptions of Projectile Motion
Projectile
Motion In Two Dimension
Introduction of Projectile Motion
Motion In Two Dimension
Motion with Variable Acceleration
Motion In One Dimesion
Motion of Body Under Gravity (Free Fall)
Motion In One Dimesion
Equation of Kinematics
Motion In One Dimesion
Velocity-time Graph
Motion In One Dimesion
Position time Graph
Acceleration
Motion In One Dimesion
Speed and Velocity
Motion In One Dimesion
Distance and Displacement
Motion In One Dimesion
Particle or Point Mass or Point object
Rest and Motion
Position
Motion In One Dimesion
Propagation of Errors
Units, Dimensions and Measurement
Errors of Measurement
Units, Dimensions and Measurement
Order of Magnitude
Units, Dimensions and Measurement
Significant Figures in Calculation
Rounding Off
Units, Dimensions and Measurement
Significant Figures
Units, Dimensions and Measurement
Limitations of Dimensional Analysis
Units, Dimensions and Measurement
Application of Dimensional Analysis
Units, Dimensions and Measurement
Important Dimensions of Complete Physics
Units, Dimensions and Measurement
Quantities Having same Dimensions
Dimensions
Practical Units
Units, Dimensions and Measurement
Standards of Length, Mass and Time