concepts required in iit jee

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    TOPICS

    E/M Concept

    Rutherford Experiment

    Bohr's Theory

    Hydrogen Spectrum

    Heisenberg Uncertainty Principle

    Debroglie Duality

    Quantum Numbers

    Electronic Configuration

    Plancks quantum theory

    Pauli’s exclusion principle

    aufbau principle

    hund's rule

    quantum mechanical model of atom including schrodinger equation

    Law Of Chemical Combination

    Mole Concept

    Chemical Formula

    Oxidation States

    Balancing Redox Reaction

    % methods of concentration

    molarity

    molality

    mole fraction

    Ionic Bond

    Covalent Bond

    Coordinate Bond

    Dipolemoment

    Hybridisation

    VBT

    MOT

    Resonance

    Hydrogen Bonding

    Metallic Bonding

    Law Of Mass Action

    Equilibrium Constant

    Lechatlier's Principle

    Solubility Product

    PH

    Hydrolysis Of Salts

    Buffer Solutions

    Ionic equilibrium

    Theory of indicators

    Poly protic acids

    rate of chemical reaction

    Order Of Reaction

    Temperature Dependence Of Rate

    Nuclear chemistry

    molecularity of reaction

    first order reactions

    second order reactions

    third order reactions

    parallel reactions

    simultaneous reactions

    Development Of Periodical Table

    Modern Periodical Table

    IE

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    EA

     Atomic Size

    EN

    physical properties

    reaction with water 

    reaction with air 

    solubility and stability

    solubility in liquid ammonia

    flame coloration

    reducing nature

    other chemical reactions

    preparation and properties of NaOH

    preparation and properties of Na2CO3

    preparation and properties of NaHCO3

    physical properties

    reaction with water 

    reaction with air 

    solubility and stability

    solubility in liquid ammonia

    flame coloration

    reducing nature

    other chemical reactions

    preparation and properties of POP

    preparation and properties of Ca(OH)2

    preparation and properties of bleaching powder 

    Position of hydrogen

    Preparation

    Properties

    Water 

    Heavy water 

    Hydrogenperoxide

    Equivalent Concept

    Simple Titration

    Double Titration

    Back Titration

    Gas Analysis

    Hardness of water 

    % free SO3 in oleum

    volume strength of H2O2

    Gas Laws

    Ideal Gas Equation

    Deviation From Ideality

    Vander Waal's Equation

    Kinetic Theory Of Gases

    Gas Velocities

    Law Of Partial Pressures

    grahams law

    Critical constants

    Joule Thomson effect & Liquefaction of gases

    Electronic Effects

     Acidity Basicity

    Reaction Intermediates

    Nomenclature

    structural isomerism

    tautomerism

    geometrical isomerism

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    optical isomerism

    conformational isomerism

    physical properties

    abnormal behaviour of Boron

    borax

    B2O3

    Boric Acid

    Boranes and Diboranes

    BN and B3N3H6

    halides of Borons

    other compounds of boron

    aluminium compounds

    alums

    physical properties

    allotropes and catenation of carbon

    general reactions

    oxides of group 14

    hydrides of group 14

    halides of group 14

    silicones

    silicates

    glass

    compounds of Sn and Pb

    preparation of alkanes

    physical properties of alkanes

    halogenation of alkanes

    other reactions of alkanes

    preparation of alkenes

    physical properties of alkenes

    electrophilic addition reactions of alkenes

    peroxide effect

    other rections of alkenes

    physical propertiesof alkynes

    preparation of alkynes

    electrophilic addition reactions of alkynes

    other reactions of alkynes

    aromaticity

    preparation of benzene

    physical properties of benzene

    electrophilic substitution reactions

    First Law Of Thermodynamics

    Pressure Volume Work

    Enthalpy Changes

    Hess Law

    Second Law Of Thermodynamics

    Concept Of Entropy

    Free Energy

    Bond Energy

    Thermo chemistry

    Nomenclature

    Isomerism

    Theory Of Coorination Compounds

    Oxidation States

    Effective atomic number (EAN)

    Valence bond Theory

    Crystal field Theory

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    Group 1 To 7

    Nitates

    Sulphates

    Halides

    Sulphides

    Carbonates

    Bicarbonates

    Nitrites

    Classification Of Solids

    Bravais Lattice

    Closed Packing

    Ionic Crystals

    Defects In Solids

    Magnetic properties

    Theory of conductions

    General Features

    Oxidation States

    Spin Only Magnetic Moment

    preparation and properties of KMnO4

    preparation and properties of K2Cr2O7

    preparation and properties of other compounds

    Electro Chemical Cells

    Cell Reactions

    Standard Electrode Potential

    Nernst Equation

    Emf Of Galvanic Cells

    Faraday's Laws Of Electrolysis

    Electrolytic Conductance

    Kohlrausch Law

    Concentration Cells

    Raoult's Law

    Vapour Pressure

    Ideal Non Ideal Solutions

    Lowering Of Vapour Pressure

    Osmotic Pressure

    Elivation In Boiling Point

    Depression In Freezing Point

     Abnormal colligative

    Properties & Van’t Hoff factor 

    Types Of Ore

    Concentration Of Ores

    roasting

    Calcination

    Reduction Of Metallic Ores

    Refining Of Metals

    Ellingham diagram

    physical properties

    allotropes and catenation of Phosphorous

    general reactions

    nitrogen

    abnormal behaviour of nitrogen

    oxides of nitrogen

    hydrides of nitrogen

    nitric acid

    oxides and halides of phosphorous

    oxoacids of phosphorous

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    other compounds of nitrogen family

    physical properties

    allotropes and catenation of sulpher 

    general reactions

    compounds of sulphur 

    abnormal behaviour of oxygen

    oxides of sulphur 

    oxoacids of sulphur 

    other compounds of oxygen family

    ozone

    physical properties

    perparation and properties of Cl2

    general reactions

    poly halides

    abnormal behaviour of fluorine

    oxides of halogens

    oxoacids of halogens

    other compounds of halogen family

    inter halogen compounds

    pseudo halogens

    physical properties

    compounds of Xe

     Alkyl Halides

     Aryl Halides

     Alcohol

    Ethers

    Phenols

     Aldehydes And Ketones

    Carboxylic Acids And Their Derivatives

     Amines

    Carbohydrates

     Amino Acids

    Polymers

    POC

    Concept Of Adsorption

    Colliods

    Emulsion

    Surfactants

    Micelles

    Based on formula for roots

    Based on discriminent

    one common root

    both roots common

    Quadratic expression

    remainder theorem

    formation of QE

    sign of QE

    interval in which roots lie

    definition

    properties of log

    log inequalities

    Log graph

    definition based problems

    modulus

    argument

    properties of modulus

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    properties of argument

    properties of conjugate

    de moivres thm

    nth root of unity

    SL

    C

    E

    H

    Section Formula

    rotation Thm

    Cube roots of unity

    Max. and Min. value of mod. of a complex number 

    Roots of complex equations

    Intersection of a straight line and circle on Argand plane

    definition

    greatest co-efficient

    greatest term

    Binomial Co-efficient of a specific type of term

    binomial series with k.Binomial coefficient

    binomial series with Binomial coefficient/k type

    binomial series with Binomial coefficient/Binomial coefficient miscellaneous

    miscellaneous

    Sum of co-efficient and Relationship between the Co-efficient of the expansion like (a + bx + cx2)

     AP

     AM

    GP

    GM

    HP

    HM

     AGP

    Method of differences

    Vn Method

     AM to GM to HM

    weighted AM

     AM of mth power 

    Problems based on LHL and RHL

    Problems based on existance of limits

    Problems based on trigonometric limits

    Problems based on direct substitution

    Problems based on rationalization or double rationalization

    Problems based on standard results

    Problems based on limits of the form x implies infinity

    Problems based on exponential limits

    Problems based on log limits

    Problems based on 1 to power infinity form

    Problems based on L hospital rule

    Problems based on Newton Lebnitz rule

    Problems based on sandwitz thm

    specially series expansion based problems

    Limit of composite functions

    Max. value and MIn. value of a function using limit

    Distance formulae

    section formulae

    Centroid

    Incentre

    circumcentre

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    orthocentre

    centroid , incentre , circumcentre orthocentre in a right angle and equilateral D

    area of D

    condition of collinearity of 3 points

    slope of a line

    Equation of st Line in - Slope form

    Equation of st Line in - One point form

    Equation of st Line in - two Point form

    Equation of st Line in - intercept form

    Equation of st Line in - parametric form

    Equation of st Line in - normal form

    general form to different form

    ^distance of a point from a line

    distance b/w two parallel lines

    angle b/w two lines

    Eqn of a line Parallel to a given line

    Eqn of a line perpendicular to a given line

    family of st line

    Locus

    Concurrent Line

     Acute angle bisector 

    Obtuse angle bisector 

    rotation of axis

    translation of axis

    pair of st lines

    angle between two pair of st lines

    condition for eqn of second degree to represent two lines

    eqn of pair of line joing pts of intersection of a line and a conic

    Eqn of circle in various forms

    radius and centre of eqn of circle in various forms

    condition on eqn of second degree to represent circle

    position of a point w.r.t. a circle

    parametric eqn of a circle

    Tangent

    normal

    condition of tangency

    chord of contact

    eqn of chord with mid pts

    pair of tangents

    length of tangent

    condition for two circles touching each other 

    condition for two circles touching intersecting other 

    family of circle - passing thrgh pt of intersection of 2 circles

    family of circle - passing thrgh pt of intersection of line and a circles

    family of circle - passing thrgh two points

    family of circle - always touching a st line at given pt

    radical axis and its property

    common chord

    condition for orthogonal intersection

    common tangent Equation

    Length of intercept made by a circle on a line

     Angle between two circles

    Basing on director circle of a circle

    Equation of a chord of mid-point is given

    eqn of parabola in std form

    Problem based on - finding focus, directrix, vertex , latus rectum etc

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    eqn of tangent

    eqn of normal

    eqn of chord with mid pts

    eqn of chord with mid pts

    eqn of pair of tangent

    condition of a line to be tangent to parabola

    geometrical properties of a parabola

    focal chord

    condition for focal chord

    pt of intersection of tangents

    pt of intersection of normals

    Condition for z normals

    Problems based on normal

    Roots of cubic equations

    Std Form

    Problem based on - finding focus, directrix, vertex , latus rectum etc

    position of a pt w.r.t. ellipse

    parametric co-ordinates

    condition of a line to be tangent to Ellipse

    focal distance

    eqn of tangent

    eqn of normal

    eqn of chord of contact

    eqn of chord with mid pts

    eqn of pair of tangent

    condition of a line to be tangent to parabola

    geometrical properties

    focal chord

    pt of intersection of tangents

    pt of intersection of normals

    chord of contact

    director circle

    auxiliary circle

    Point of intersection of tangents

    Co-normal points

     Angle between the tangents

    Basing on director circle of ellipse

    Intersection of ellipse and a circle

    Equation of chord joining two points having eccentric angle

    basic definition

    Std form

    Problem based on - finding focus directrix, vertex , latus rectum etc

    position of a pt w.r.t. hyperbola

    focal distance

    eqn of tangent

    eqn of normal

    eqn of chord of contact

    eqn of chord with mid pts

    eqn of pair of tangent

    condition of a line to be tangent to parabola

    geometrical properties

    focal chord

    pt of intersection of tangents

    pt of intersection of normals

    chord of contact

    director circle

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     Auxiliary circle

    rectangular hyperbola

    eqn of tangent to rectangular hyperbola

    eqn of normal to rectangular hyperbola

    pt of intersection of rectangular hyperbola and a circle

     Asymptotes

    Basic properties of conjugate hyperbola of a hyperbola

    Co-normal points

    Intersection of a rectangular hyperbola with a circle

    Common tangent between hyperbola and circle

    Equation of Asymptotes

    Fundamental principle of counting (multiplication)

    Fundamental principle of counting (addition)

    Permutation of n things taking r at a time p(n,r)

    Permutation of n things, p are alike, q are alike, r are alike

    Permutation of n things taking r at a time, each may be repeated any number of times ( n^r)

    Permutation under condition

     Arrangement around the circular table

     Arrangement of beads around a circular necklace

    Circular permutation of n different things taken r at a times

    combination of n things taking r at a time(c(n,r)

    Combination of n things taken r at a time when k perticular objects occur (C(n-k, r - k))

    C (n, 1) + C (n, 2) + ……+C(n, n) =2^n - 1.

    Out of p + q + r + t things p, q, r and t are alike

    total no of divisors of a number 

    Division into groups

     Arrangement in groups

    Derangements

    Multinomial theorem

    Exponent of prime p in n!.

    Sum of division of a composite number 

    Identities

    Compound angles

    Multiple angles

    Sub-multiple angles

    Transformation

    Graph of trignomety(periodicity) ratio

    Trignometric equations

    Trignometric inequations

    Properties of triangle

    Trignometric ratios

    Heights and distances

    Sum and product formulae

    Extreme value problems

    Relation between different systems of measurement of Angles

    fundamental identities

    Sign of Trigonometric ratios

    Domain & range of Trigonometric ratios

    Trigonometric ratios of Allied angles ( Sum or difference is multiple of 90)

    Trigonometric ratios of sum & difference of two angles

    Transformation Formula - Product into Sum or Difference

    Transformation Formula - Sum and difference into Poduct

    Trigonometric ratios of multiple angles

    Trigonometric ratios of sub-multiple angles

    greatest & least values of trigonometric expressions

    Trigonometric Identities

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    conditional identities

    polygons

    Sum of sine/cos series where angles are in AP

    Product of Cosine where angles are in GP with r = 2 or 1/2

    Principal & General solution

    Conversion to lower degree

    Conversion into quadratic form

    Change of variable

    Inequalities

    Problems based on extreme values

    Solution of Trigonometric Equations - Priciple values

    Solution of Trigonometric Equations - in a given Interval

    Solution of Trigonometric Equations - General Solution

    Solution of Simultaneous trigonometric equation - in one variable

    Solution of Simultaneous trigonometric equation - in two variable

    Trigonometric Inequation

    Solution of Trigonometric Equations - based on extreme values of Trigonometric ratios

    Sine Rule

    Cosine Rule

    Projection formula

    Napier's Analogy

    Half angle formula

     Area of triangle , Heron's formula

    solution of Triangle - Two sides and included angle are given

    solution of Triangle - Two angles and included side are given

    solution of Triangle - Case of Ambiguity

    Circles Connected with a Triangle - Circumcircle

    Circles Connected with a Triangle - Incircle

    Circles Connected with a Triangle - Escribed Circles

    m-n theorem

    apolloneus theorem

    Distence of Circumcentre from the sides

    Distence of incentre from the vertices

    Distence of orthocentre from the vertices

    Distence of orthiocentre from the sides

    Distance between various centres

    Circles circumscribing or inscribing a regular Polygon

    cyclic quadrilaterals

     Addition of matrices

    Multiplication of matrices

    properties of matrix multiplication

    Transpose

     Adjoint

    inverse of matrix

    types of matrices

    system of linear equation and solution

    Conjugate of a matrix

    Equality of two matrices

    Using of determinant to explain some properties of adjoint of matrix

    evaluation of 2X2 det

    evaluation of 3X3 det

    minors and cofactors of a set

    reflection property

    all zero property

    proportionality property

    Switching property

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    Scalar multiple property

    sum property

    property of invarience

    factor property

    triangle property

    product of 2 det

    conjugate of a det

    differentiation of a det

    solution of linear eqn

    cramers rule

    Solution of linear equations using Crammer’s Rule

    sets and types of sets

    number of elements in sets

    operation on sets

    venn diagram based problems

    cartesian products of two sets

    relation and types of relations

    function and types of functions

    one to one functions

    onto functions

    bijective functions

    inverse of a function

    composite function

    binary operation

    modulus function

    GIF

    domain of a function

    Range of a function

     Algebra of a function

    composite function

    even fn

    odd fn

    period of a function

    functional relationship (investigate fn)

    no of solution type problems

    Graphical solution of function

    To check continuity of a fn

    type of discontinuity

    continuity of composite fn

    finding unknown parameters from continuity

    to find points of discontinuity

    no of points of discontinuity

    to check differentiability of a fn

    LHD & RHD of a fn

    existance of derivative

    Problems based on continuity and differentiability using graph

    Problems based on finding unknown parameters

    Problems based on piece wise defined function

    Problems based on investigating fns using functional relationship

    Problems based on first principle

    Using continuity & differentiability to determine number of real roots of a function

    derivative of algebric fn

    derivative of log fn

    derivative of exponential fn

    derivative of trigonometric fn

    derivative of inverse trigonometric

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    derivative of sum and difference of two or more fn

    derivative of product of two fn

    derivative of quotient of two fns

    derivative of implicit fn

    derivative of parametric fn

    derivative of one function w.r.t another fn

    derivative of fn to power fn form

    derivative of infinite series type problems

    chain rule

    first principle

    higher order derivative

    Problems based on Tangents to a curve

    Problems based on Normals to a curve

    Problems based on angle of intersection of two curves

    monotonocity based problems - interval of increase and decrease

    monotonocity based problems - inequality based

    monotonocity based problems - inequality based - using first derivative

    monotonocity based problems - inequality based - using second derivative

    maxima/minima based problems - first derivative test based

    maxima/minima based problems - second derivative test based

    maxima/minima based problems - higher order derivative test based

    maxima/minima based problems - local maxima or minima based

    maxima/minima based problems - global maxima or minima based

    Problems based on substitution - Algebric substitution

    Problems based on substitution - trigonometric substitution

    Problems based on by parts

    Problems based on integration of rational function

    Problems based on integration of irrational function

    integration using complex number 

    integration using standard substitution

    conversion of unknown form to known form

    based on ò ex (f(x) + f`(x)) dx type

    Limit as a sum

    Problems based on a-x property

    Problems based on integral seperator property

    Problems based on a+b-x property

    Problems based on even and odd fn

    Problems based on f(2a-x) = f(x) property

    Problems based on periodic fns

    Problems based on partial derivatives

    lebnitz rule

    inequalities

    piece wise continious fns

    Solving definite integration using graphs

    order and degree of DE

    formation of DE

    solution of DE by variable seperable method

    solution of DE by eqn reducible to variable seperable method

    solution of DE of the homogeneous form

    solution of DE reducible to the homogeneous form

    solution of LDE

    solution of bernoulis eqn

    solution of general form of LDE

    solution of general form of variable seperation

    orthogonal trajectories

    application of DE

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    rate of change problem

    geometrical apllication

    Solution of DE reducible to Bernoulii form

    area bounded by f(x) , x axis, x=a and x=b.

    area bounded by g(y) , y axis, y=a and y=b.

    area bounded by f(x) , g(x) x=a and x=b

    curve and its asymptotes

     Area bounded by a single curve y = f(x)

    Modulus or magnitude

    Types of vectors

     Addition and subtraction of vectors

    Position vectors

    Section formula internal

    Section formula external

    Component of a vector 

    Linear combination

    Linear dependent or independent

    Collinearity of three points

    Collinearity of two vectors

    Collinearity of four points

    Collinearity of three vectors

    Product of two vectors

    Scalar product

    Work done

    Vector product

    Geometrical interpretation of cross product

    Moment of a force

    Triple product

    Scalar triple product

    Vector triple product

    Geometrical interpretation

    Distance formula

    Section formula

    Centriod of a triangle

    Centriod of a tetrahedron

    Direction cosines

    Direction ratios

     Angle between two vectors

     Angle in terms of direction ratios

    Projection of the join of two points

    Line through a point and parallel to a vector (vector form)

    Line through a point and parallel to a vector (cartesiabn form)

    Line passing through two points (v.f.)

    Line passing through two points (c.f.)

     Angle between two lines (v.f.)

     Angle between two lines (c.f.)

    Perpendicular from a point to a line

    Shortest distance between two skew lines

    General equation of a plane

    Plane in normal form ( v. F. )

    Plane in normal form ( C. F. )

    Transformation of general form of normal form

    Plane passing through a point and perpendicular to a vector ( v. F. )

    Plane passing through a point and perpendicular to a vector ( C. F. )

    Equation of a plane in intercept form

    Plane passing through three points ( V.F.)

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    Plane passing through three points ( C.F.)

    Plane passing through two points and parallel to a vector ( v. F.)

    Plane passing through two points and parallel to a vector ( C. F.)

    Plane passing through two points and parallel to two vectors ( V. F.)

    Plane passing through two points and parallel to two vectors ( C. F.)

    Plane parallel to a given plane ( v.F.)

    Plane parallel to a given plane ( c.F.)

     Angle between two planes ( v. F. )

     Angle between two planes ( C. F. )

     Angle between a line and a plane ( V.F)

     Angle between a line and a plane (C.F)

    Planes bisecting the angles between two planes ( v. F. )

    Planes bisecting the angles between two planes ( C. F. )

    Bisector of acute / obtuse angle

    Distance of a point from a plane (V.F

    Distance of a point from a plane (C.F)

    Distance between two parallel planes ( v. F. )

    Distance between two parallel planes ( C. F. )

    Planes passing through the intersection of two planes ( v. F. )

    Planes passing through the intersection of two planes(V.F)

    Two sides of a plane

    Condition for a line to lie in a plane ( v. F. )

    Condition for a line to lie in a plane ( C. F. )

    Condition for two lines to be intersecting coplaner and the plane containing them ( v. F. )

    Condition for two lines to be intersecting coplaner and the plane containing them (C.F.)

    Equation of a sphere ( v. F. )

    Equation of a sphere (C. F. )

    Equation of a sphere through four points ( v. F. )

    Equation of a sphere the extremities of diameter being

    Equation of a sphere the extremities of diameter being given ( c. F. )

    Condition of tangency ( v. F. )

    Condition of tangency ( C. F. )

    Sample space

    Mixed events

    Equally likely events

    Independent events

    Complementary events

    Mutually exclusive events

    Exhaustive events

    Classical definition of probability

     Addition theorem of probability

    Compound probablity

    Conditional probablity

    Bay`s theorem

    Binomial theorem on probability

    Multinomial theorem on probablity

    Binomial distribution

    Random variable

    Definition of inverse functions

    Domain and Range

    Graphs of inverse functions

    Properties of inverse functions

    Inequalities

    Sum of series

    Max and Min. values

    Solution of Inverse trigonometric Equations

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    Inverse circular Function - domain & range

    problems based on inverse trigonometric function of trigonometric functions

    problems based on trigonometric functions of inverse trigonometric function

    Conversion of one ICF to other 

    sum & Difference of Two or more ICFs

    measurement of length using parallex method

    precision and accuracy

    relative error absolute error mean error 

    propagation of error(addition subtractio multiplication and division)

    relative error calculation for any relationship

    significant digits

    calculation of significant digits for aqddition subtraction multiplication division)

    dimentional analysis

    least count(qualitative)

    vernier callipers

    screw gauge

    searls experiment

    organ pipe

    mirror and lens problem

    Vectors

    Scalars

    Dot Product

    Cross product

    Projection & projection vector 

    Type of vectors

     Area as vector 

     Application of cross product

    Equation of straight line

    Equation of plane

    Direction cosines

    Direction of ratios

    Volume of parallelepiped

    Scalar triple product

    Vector triple Product

     Addition of vectors

    uniformly accelerated motion

    motion along horizontal direction

    motion along vertical direction ,

    non uniform accelerated motion

    Use of calculus in Kinematics

    1-D motion

    moption in 2d use of vectors

    uniform accellerated motion in vector form

    non uniform accelerateed motion

    Projectile motion as projection from ground

    Projectile motion as projection from height

    Projectile motion as horizontal projection

    Projectile motion as projection at an angle.

    Projectile motion as projection from incline

    Projectile motion with collision of projectile.

    Circular motion

    Tangential acceleration

    Centripetal acceleration

    Nonuniform circular motion

    Relative Velocity - General

    Rain-Man

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    River - Boat

    Relative motion of two cars

    Wind - Aeroplane

    Graphs in Kinematics

    Distance and displacement

     Average speed and velocity

    Inertial and non inertial frame of referance

    Free body diagram

    tension

    contract forces

    Normal reaction

    Field forces

    Pulleys

    Pseduo force

    Constraint equations

    Static friction

    Kinetic friction

    Limiting friction

     Application of Newton's II law

    Centripetal & centrifugal gorce

    Constraint Equation due Contact between the surfaces

    Constraint equation with the help of tension method

    Conical pendulum

     Accident at circular turn (skidding)

     Accident at circular turn (tuppling)

    Equilibrium of forces

    Newton's first law

    Newton's third law

    Conservative & non-conservative force

    Work energy theorem

    Energy conservation

    Power 

    Motion in vertical circle

    Work done calculation vectorially

    Work done by different forces

    Work done

    Momentum

    Kinetic Energy (KE)

    Kinetic Energy and Momentum

    Potential energy

    Mechanical energy

    chemical energy

    Centre of mass of point size bodies

    Centre of mass of continuous bodies

    Centre of mass of discrete bodies

    Laws of conservation of linear momentum

    impulse

    Elastic collision

    Coefficient of restituion

    Inelastic collision

    Head on collision

    Oblique collision

    Use of vectors in case & collisions

     Acceleration & velocity of COM

    Impulse Momentum theory

    Conservation of Momentum and Energy

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    Moment of inertia

    Moment of inertia of discrete masses

    Moment of inertia of distributed masses

    Radius of Gyration

    Theorem of parrallel axis

    Theorem of perpendicular axes

    Part of solid is cut.

    Pure Rotationa Motion

    Sums on angular displacement when angular velocity is constant

    Sums on angular displacement when angular velocity is varying

    Pulley Problems

    Couple

    Vector form of Torque

    Work done by torque

    Using the equation torque=Moment of interia * angular acceleration

    Torque and angular momentum

    Torque about a point

    Torque along the axis of rotation

    Vector form of Angular Momentum

     Angular momentum for discrete particles

     Angular momentum for continuous mass distribution

    L = Iω

    conservation of angular momentum

     Angular impulse

    Toppling condition

    Finding angular acceleration in toppling

    Instataneous Axis of Rotation

    condition for pure rolling

    Combined translation and rotational motion

    Rolling on a stationary horizontal surface

    Rolling on a surface which is moving with constant velocity

    Rolling on a surface which is moving with constant acceleration

    Rolling on a inclined plane

    Calculating frictional force during pure rolling

    Finding translation and rotational energy when it is pure rolling

    Finding velocity and acceleration of different point in a solid body

    Finding translation and rotational energy when it is pure rolling

    Finding velocity and acceleration of different point in a solid body

    Force between a system of discrete particles

    Finding force due to continuous distribution of mass

    Gravitation force due to hollow,solid sphere.

    Work done in gravitational field

    Variation of g with depth and height

    Variation of g with mass and density

    Variation of g with earth rotation

    Potential energy due to discrete masses

    Potential energy due to continuous masses

    Change in potential energy when some work is done

    Force when potential Energy is given

    Escape Velocity

    Motion of planet and satellites

    Relation between PE,KE and TE for satellites.

    Keplers law

    E – r graph

    V – r graph & its conversion

    Self energy

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    Gauss’s law for gravitation

     Application of gauss’s law n gravitation

    Gravitational potential

    Orbital velocity

    conservation of angular momentum and energy in gravitation

    Centre of gravity

    Variation of Pressure with height

    Pascal law

    Barometer 

    Manometer 

     Archimedes Principle

    Condition for floating

    Pressure difference when it is accelerated vertically

    Pressure difference when it is accelerated horizontally

    Equation of continuity

    Bernoullis theorem

    Viscosity & application of F = - A(dv/dx)

    Stoke's law

    Surface tension

    Hydrostatic force

    Hydrostatic torque

    Siphon tube & its application

    Power developed by viscous force

    Nozzle

    Buoyant force if container is acceleratingin vertical direction

    Terminal velocity

    Posicllilli equation

     Area of cross section of falling liquid

    Velocity profile in a pipe of constant area

    Coalease of bubbler & drops

    Surface tension force

    Surface tension energy

    Terminal velocity

    Venturi meter 

    Capillary action

    Excess Pressure in Drop and Bubble

    Relative density

    Modulii of elasticity

    Elastic potential energy

    Equation of SHM

    Relation between SHM and uniform circular motion

    Frequency of a system performing SHM

    Two body SHM

    Super position principle

    Damped horimonic motion

    Graph between stress & strains

    SHM including rolling

    Reduced mass system

    Phase constant, phase

    Thermometry

    Scales of temperature and their conversions

    Thermal expansion of solids,liquids,gases

     Applications of thermal expansions of solids.liquids,gases

    Ideal gas equation

     Average,RMS, Most probable velocities

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    Molar specific heat capacities

    Kinetic theory of gases and degree of freedom

    Thermodynamics

    Isothermal process

     Adiabatic process

    Polytropic process

    Thermodynamic graphs

     Adiabatic free expansion

    Degree of freedom

    Conversion of PV graph into PT

    Conversion of PV graph into VT

    Conversion of PV graph into T

    Rate of coiling (General case)

    Cyclic process

    Heat transfer - conduction

    Heat transfer - radiation

    Heat transfer - convection

     Application of Stefan's law

    Spectral Distribution of Radiation Energy graph

    Newton's law of cooling.

    Wein's displacement law

    Transverse and longitudinal waves

    Equation of waves

    velocity of longitudinal and transverse waves

    Energy transfer in waves

    Velcoity & Acceleration of particles of medium during wave propagation

    Superposition of waves - Interference

    Superposition of waves - Stationary waves in string

    Energy in Standing Waves

    Superposition of waves - Stationary waves in organ pipe

    Superposition of waves - Stationary waves in rod

    Superposition of waves - Beats

    Transmission and reflection of waves

    Dopple'r effect

    Ultrasonic waves and its application

    Sonar 

    Coulomb's law

    Charge conservation,qunitisation

    Equi potential surfaces

    Electric field

    Electric potential

    Relation between Electrostatic Potenital and Field

    Electric field lines

    Electric flux

    Gauss law

    Electric potential energy

    Earthing a conductor 

    Self energy

    Dipole

    Capacitors

    Effective capacitances in various networks (Series,Parallel..etc)

    Conservation of energy ( I law of thermodynamics based )

    Dielectrics

    Charge distributionon on capacitors

    Force on dielectric

    Electric current and current in a conductor 

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    20/22

    Drift velocity

    Resistance and its properties

    cell and cell combination

    Ohm's law

    Kirchoff's Junction law

    Kirchoff's loop law

    Potentio meter 

    Post office box

    Meter bridge

    Wheatstone bridge

     Ammeter 

    Voltmeter 

    Galvanometer 

    Effective resistances in networks

    R-C circuits - Charging of capacitors

    Discharging of capacitors - R - C circuits

    Effect of charge in temp and resistance

    Biot savarts law

    Magnetic field due to current carrying element

     Amperes law

    Solenoid

    Motion of charged particle in Magnetic field

    Magnetic force on current element

    Torque on a current carrying loop placed in Magnetic filed

    Lorentz force

    Magnetic moment

    Cyclotron

    Tangent Galvanometer 

    Moving Coil Galvanometer 

    Paths followed by charged particle

    Betatron

    Faraday's law

    graph problem of emf and magnetic flux

    lenz law

    magnetic flux

    charge flown due to induced current

    Motional emf 

    general form of motional emf 

    force due to secondary magnetic field

    emf induced due to rotation

    emf induced due to combined motion

    study of motion of conductor in a magnetic field in the light of induced current

    energy methods(analysis of circuit on energy basis)

    torque on a loop in which current is induced

    Induced elecric field(time varing magnetic field)

    eddy currents

    self inductance

    inductor 

    inductor based circuit

    self inductance calculation

    mutual inductance

    mutual inductance calculation

    conservation of magnetic flux

    L-R circuit

    L-C oscillation

     AC(qualitative analysis)

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     Avg value calculation

    RMS value calculation

    graph problems in ac

    phasor diagram

    L in ac

    R in AC

    C in AC

    LR IN AC

    RC IN AC

    LC IN AC

    LCR IN AC

    IMPEDENCE PROBLEM

    POWER IN AC

    POWER FACTOR

    RESONANCE

    CHOKE COIL

    TRANSFORMER

     Angular impulse in time varying magnetic field

    Resonance in AC circuits

    Parallel circuits in AC

    Use of Wheatstone Bridge in Case of AC circuits

    basic property of refraction and reflection

    ideas of object and image

    laws of reflection

    plane mirror problem

    spherical mirror conceptual ideas

    mirror formula

    relative motion of mirror and object

    lateral magnification

    refraction through plane surfaces(basic ideas)

    snell law

    variable index

    refraction through a curved surface

    surface power of a medium

    deviation caused by medium

    lens and their basic properties

    lens and their basic properties

    lens formula and application

    magnification

    combination of lenses

    combination of lenses

    silvering of mirror 

    splitting of lens

    relative motion of lens and object

    lens and coordinate system

    change of focal length of lens placed in different medium

    basic property of prism

    prism formulae

    incomplete prism

    prism with different refractive index

    silvering of prism

    TIR

    TIR in prism

    silvering of prism

    minimum deviation

    thin prism

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    huygen theory of wave fronts

    wave fronts at different surfaces

    conceptual understanding of reflection and refraction

    YDSE

    path difference

    path difference and pahse difference relationship

    Modified YDSE by changing medium

    shifting of fringes(slab introduction)

    intensity variation

    YDSE with white light

    double YDSE problem

    Concept of optical path & optical path difference

    Interference due to thin plates

    Longitudinal magnification

    System similar to YDSE

    photon(basic ideas)

    difference between photon and particle

    energy and momentum of photon

    pressure due to photon beam

    intensity of photon

    power intensity relationship

    photo-electric effect

    photo current variation graph

    photo current variation with intensity of photon beam

    stopping potential

    einstein equation of photo electric effect

    photo electric cell

    dual nature of matter 

    debroglie relation ship

    bohr atom(all formulae)

    energy analysis in case of hydrogen like atom

    transistion of electrons in hydrogen like atom

    em spectrum of hydrogen like atom

    collision of particles with atoms and atomic transistion

    X rays

    continueos and characteristics Xrays

    mosley law

    absorbtion of X ray

    basic ideas about nucleous

    size of the nucleous

    mass defect

    binding energy

    binding energy curve

    binding energy calculation

    energy calculation in fusion and fission reaction

    Q value of the reaction

    radioactivity

    radioactivity law

    half life

    average life

    decay constant

    successive disintegration of nuclei

    α β γ rays

    isotopes