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PHYSICSCLASS XI

CHAPTER WISE IMPORTANT TOPIC FORJEE Main & JEE Advanced-2015

CHAPTER THREE MOTION IN A STRAIGHT LINE

3.6 KINEMATICS EQUATIONS FOR UNIFORMLY ACCELERATED MOTION

Instantaneous Acceleration [JEE Main-2015 & JEE Advanced-2015]

CASE II C : If particle is dropped with u = 0 from tower of height H

i.e., Particle falling freely under gravity [JEE Main-2015]

CHAPTER FOUR MOTION IN A PLANE

4.7 MOTION IN A PLANE

4.7.1 Position Vector and Displacement

Trajectory of a Particle [JEE Main-2015]

Equation of trajectory [JEE Main-2015]

Finding trajectory equation [JEE Main-2015]

4.8 MOTION IN A PLANE WITH CONSTANT ACCELERATION [JEE Main-2015]

4.10 PROJECTILE MOTION

RELATIVE VELOCITY IN ONE DIMENSION [JEE Main-2015 & JEE Advanced-2015]

4.9 RELATIVE VELOCITY IN TWO DIMENSION

Projectile motion of particle relative to moving frame

(i.e., Train, Truck, Bus, Car, Plane ......). [JEE Advanced-2015]

CHAPTER FIVE LAWS OF MOTION

5.3 THE LAW OF INERTIA & 5.4 NEWTON’S FIRST LAW OF MOTION

MOMENTUM [JEE Main-2015]



5.11 SOLVING PROBLEMS IN MECHANICS [JEE Main-2015]

SPRING PARTICLE SYSTEM [JEE Main-2015]

5.9.1 FRICTION

Laws of Static Friction [JEE Advanced-2015]

Kinetic Friction [JEE Main-2015]

CHAPTER SIX WORK, ENERGY AND POWER

6.3 Work [JEE Advanced-2015]

6.11 POWER [JEE Advanced-2015]

6.4 KINETIC ENERGY [JEE Main-2015; JEE Advanced-2015]

6.9 THE POTENTIAL ENERGY OF A SPRING [JEE Main-2015]

6.6 THE WORK-ENERGY THEOREM FOR A VARIABLE FORCE

[JEE Main-2015 & JEE Advanced-2015]

6.8 THE CONSERVATION OF MECHANICAL ENERGY

Stability [JEE Main-2015]

CHAPTER FIVE, SIX & SEVEN IMPULSE, CONSERVATION OF

LINEAR-MOMENTUM, CENTER OF MASS & COLLISIONS

IMPULSE [JEE Main-2015]

5.7 LAW OF CONSERVATION OF LINEAR–MOMENTUM [JEE Advanced-2015]

In one dimension [JEE Advanced-2015]

In two dimensions [JEE Advanced-2015]

7.2 CENTRE OF MASS

Position of centre of mass of two particles in one dimension [JEE Advanced-2015]

Continuous system [Main Only-2015]

7.3 MOTION OF THE CENTRE OF MASS [JEE Advanced-2015]

6.12 COLLISION

6.12.1 Elastic and Inelastic Collisions [JEE Advanced-2015]



6.12.2 Collision in One Dimension [JEE Advanced-2015]

Elastic [JEE Advanced-2015]

Perfectly Inelastic Collision in One Dimension [JEE Main-2015]

6.12.3 Collisions in Two Dimensions

Oblique inelastic collision [JEE Advanced-2015]

CHAPTER SEVEN CIRCULAR AND ROTATIONAL MECHANICS

5.10 CIRCULAR MOTION [JEE Main-2015 & JEE Advanced-2015]

7.11 KINEMATICS OF ROTATIONAL MOTION ABOUT A FIXED AXIS


Average and Instantaneous Angular Velocity [JEE Advanced-2015]

Relations among Angular Variables for Constant Angular Acceleration


7.6 ANGULAR VELOCITY AND ITS RELATION WITH LINEAR VELOCITY


Vector relation between linear and angular velocity and acceleration


Application of uniform circular motion [JEE Advanced-2015]

Vertical circular motion [JEE Advanced-2015]

Conical Pendulum [JEE Advanced-2015]

7.9 MOMENTS OF INERTIA (OR ROTATIONAL INERTIA)

7.10 THEOREMS OF PERPENDICULAR AND PARALLEL AXES [JEE Main-2015]

Theorem of perpendicular axes for a lamina [JEE Main-2015]

Disc [JEE Advanced-2015]

Sphere [JEE Advanced-2015]

7.7.2 Angular Momentum of a Particle [JEE Main-2015]

7.13 ANGULAR MOMENTUM IN CASE OF ROATION ABOUT A FIXED AXIS


Particle travelling as a projectile [JEE Main-2015]

7.12 DYNAMICS OF ROTATIONAL MOTION ABOUT A FIXED AXIS




7.8 EQUILIBRIUM OF RIGID BODIES : NEWTON'S 1ST LAW [JEE Advanced-2015]

Newton's second law for rotation [JEE Advanced-2015]

Work, Power and the Work-Kinetic Energy theorem [JEE Advanced-2015]

Law of Conservation of Mechanical energy in Rotational Motion [JEE Advanced-2015]

7.14 ROLLING MOTION [JEE Advanced-2015]

Uniform pure rolling [JEE Advanced-2015]

Accelerated pure rolling [JEE Advanced-2015]

Pure Rolling Motion on rough inclined plane [JEE Advanced]

Conservation of angular momentum in pure rolling motion on rough horizontal plane

[JEE Main-2015]

CHAPTER EIGHT GRAVITATION

8.1 INTRODUCTION

8.3 UNIVERSAL LAW OF GRAVITATION [JEE Main-2015]

8.4 THE GRAVITATIONAL CONSTANT

Gravitational Field [JEE Main-2015]

8.7 GRAVITATIONAL POTENTIAL ENERGY [JEE Main-2015 & JEE Advanced-2015]

Gravitational Potential V [JEE Main-2015 & JEE Advanced-2015]

8.5 ACCELERATION DUE TO GRAVITY OF THE EARTH [JEE Main-2015]

Variations in `g' [JEE Main-2015]

8.6 Acceleration due to gravity above the surface of earth [JEE Main-2015]

8.7 Acceleration due to gravity below the surface of earth [JEE Advanced-2015]

8.8 ESCAPE SPEED [JEE Main-2015 & JEE Advanced-2015]

8.9 EARTH SATELLITES [JEE Main-2015 & JEE Advanced-2015]

Orbital velocity vo [JEE Main-2015]

8.11 GEOSTATIONARY AND POLAR SATELLITES

8.10 ENERGY OF AN ORBITING SATELLITE [JEE Main-2015 & JEE Advanced-2015]



8.12 WEIGHTLESSNESS

BINARY STAR SYSTEM [JEE Advanced-2015]

CHAPTER NINE MECHANICAL PROPERTIES OF SOLIDS

9.6 ELASTIC MODULI

9.6.1 Young’s Modulus [JEE Main-2015; JEE Advanced-2015]

CHAPTER TEN MECHANICAL PROPERTIES OF FLUIDS

10.2 PRESSURE [JEE Main-2015; JEE Advanced-2015]

10.2.3 Atmospheric Pressure and Gauge Pressure

Buoyancy and Archimedes Principle [JEE Main-2015]

Condition of flotation and stability of floating body [JEE Advanced-2015]

10.3 STREAMLINE FLOW [JEE Main-2015; JEE Advanced-2015]

Equation of continuity [JEE Main-2015; JEE Advanced-2015]

10.4 BERNOULLI’S PRINCIPLE [JEE Main-2015; JEE Advanced-2015]

10.5 VISCOSITY

Stoke's law of viscosity drag [JEE Main-2015]

Terminal velocity [JEE Main-2015]

10.7 SURFACE TENSION

10.7.1 Surface energy [JEE Advanced-2015]

10.7.5 Capillary Rise [JEE Main-2015]

CHAPTER ELEVEN THERMAL PROPERTIES OF MATTER

11.4 IDEAL-GAS EQUATION AND ABSOLUTE TEMPERATURE

Expansion of Gases [JEE Advanced-2015]

11.5 THERMAL EXPANSION

EXPANSION OF SOLIDS [JEE Main-2015]

EFFECT OF THERMAL EXPANSION [JEE Main-2015]

11.7 CALORIMETRY

Principle of calorimetry [JEE Advanced-2015]11.8 CHANGE OF STATE



11.8.1 Latent Heat [JEE Main-2015]Heat of transformation [JEE Main-2015]

11.9 HEAT TRANSFER11.9.1 Conduction [JEE Main-2015; JEE Advanced-2015]

SERIES AND PARALLEL COMBINATION OF THERMAL RESISTANCES[JEE Advanced-2015]

11.9.3 Radiation [JEE Advanced-2015]Spectral distribution of black body radiation [JEE Advanced-2015]Stefan-Boltzman’s law [JEE Advanced-2015]

11.10 NEWTON’S LAW OF COOLING [JEE Main-2015]

CHAPTER TWELVE THERMODYNAMICS12.4 HEAT, INTERNAL ENERGY AND WORK

INTERNAL ENERGY [JEE Advanced-2015]WORK DONE BY A GAS (OR PdV WORK) [JEE Advanced-2015]

12.5 FIRST LAW OF THERMODYNAMICSSPECIFIC HEAT CAPACITIES OF GASES [JEE Main-2015]

12.8 THERMODYNAMIC PROCESSES [JEE Main-2015; JEE Advanced-2015]12.8.1 Quasi-static processes [JEE Main-2015]

Cyclic Process [JEE Main-2015]

12.13 CARNOT CYCLE [JEE Main-2015]

CHAPTER THIRTEEN KINETIC THEORY13.3 BEHAVIROU OF GASES

VANDER WAAL'S EQUATION OF STATE FOR REAL GASES [JEE Advanced-2015]13.5 LAW OF EQUIPARTITION OF ENERGY [JEE Main-2015]13.7 MEAN FREE PATH

CHAPTER FOURTEEN SIMPLE HARMONIC MOTION14.3 SIMPLE HARMONIC MOTION [JEE Main-2015; JEE Advanced-2015]

Differential equation of SHM [JEE Main-2015; JEE Advanced-2015]14.4 SIMPLE HARMONIC MOTION AND UNIFORM CIRCULAR MOTION

[JEE Main-2015; JEE Advanced-2015]SOME PHYSICAL QUANTITIES OF INTEREST IN SHM[JEE Main-2015; JEE Advanced-2015]Displacement [JEE Main-2015; JEE Advanced-2015]

14.5 VELOCITY AND ACCELERATION IN SIMPLE HARMONIC MOTION[JEE Main-2015; JEE Advanced-2015]



Acceleration [JEE Main-2015; JEE Advanced-2015]14.6 FORCE LAW FOR SIMPLE HARMONIC MOTION [JEE Main-2015; JEE Advanced-2015]14.7 ENERGY IN SIMPLE HARMONIC MOTION [JEE Advanced-2015]14.8 SOME SYSTEMS EXCUTING SIMPLE HARMONIC MOTION [JEE Advanced-2015]

14.8.1 Oscillations due to a Spring [JEE Advanced-2015]14.8.2 The Simple Pendulum [Main Only-2015]Physical pendulum [JEE Advanced-2015]Some more examples of SHM [JEE Main-2015; JEE Advanced-2015]When Restoring Force is due to Hydrostatic Pressure or Thrust

[JEE Main-2015; JEE Advanced-2015]Super Position of S.H.M.'s [JEE Advanced-2015]

CHAPTER FIFTEEN WAVES15.1 INTRODUCTION [JEE Main-2015]

Intensity of wave [JEE Main-2015]15.2 TRANSVERSE AND LONGITUDINAL WAVES [JEE Main-2015; JEE Advanced-2015]

Velocity of Transverse Wave [JEE Main-2015; JEE Advanced-2015]15.3 DISPLACEMENT RELATION IN A PROGRESSIVE WAVE

[JEE Main-2015; JEE Advanced-2015]15.4 THE SPEED OF A TRAVELLING WAVE

15.4.1 Speed of a Transverse Wave on Stretched String [JEE Advanced-2015]15.4.2 Speed of a Longitudinal Wave (Speed of Sound) [JEE Main-2015]

15.5 THE PRINCIPLE OF SUPERPOSITION OF WAVESCharacteristics of Standing Waves [JEE Advanced-2015]

15.6 REFLECTION AND REFRACTION OF WAVESStanding Wave in a Organ Pipe [JEE Advanced-2015]Open organ pipe [JEE Main-2015; JEE Advanced-2015]Resonance Tube [JEE Advanced-2015]Kundt’s Tube [JEE Main-2015]Beats [JEE Main-2015; JEE Advanced-2015]

15.8 DOPPLER’S EFFECT [JEE Main-2015; JEE Advanced-2015]



CLASS XIICHAPTER WISE IMPORTANT TOPIC FOR

JEE Main & JEE Advanced - 2015

CHAPTER ONE ELECTRIC CHARGES AND FIELDS

1.6 COULOMB'S LAW [JEE Main-2015]

1.7 FORCE BETWEEN MULTIPLE CHARGES [JEE Main-2015]

1.8 ELECTRIC FIELD [JEE Advanced-2015]

1.8.2 Physical significance of electric field [JEE Advanced-2015]

Motion of a charged particle in an electric field [JEE Advanced-2015]

1.9 ELECTRIC FIELD LINES [JEE Advanced-2015]

1.10 ELECTRIC FLUX [JEE Advanced-2015]

1.13 CONTINOUS CHARGE DISTRIBUTION [JEE Main-2015]

1.14 GAUSS'S LAW [JEE Advanced-2015]

1.15 APPLICATIONS OF GAUSS'S LAW [JEE Advanced-2015]

1.15.3 Field due to a uniformly charged thin spherical shell

[JEE Main-2015; JEE Advanced-2015]

1.15.4 Electric field and potential due to a solid sphere of charge [JEE Main-2015]

1.15.5 Electric field due to a non-conducting solid sphere of charge[JEE Main-2015; JEE Advanced-2015]

1.15.6 Electric field intensity due to a uniformly charged

infinite long cylinder at any outside point [JEE Advanced-2015]

CHAPTER TWO ELECTROSTATIC POTENTIAL AND CAPACITANCE

2.1 INTRODUCTION [JEE Main-2015]

Line Integral of electrostatic field is path independent [JEE Main-2015]

Properties of line integral of electric field [JEE Main-2015]

2.3 ELECTRIC POTENTIAL DUE TO A POINT CHARGE

Electric Potential due to Continuous Charge Distribution [JEE Main-2015]

Potential due to Some Standard Charge Configurations



2.5 POTENTIAL DUE TO A SYSTEM OF CHARGES [JEE Main-2015]

2.7 POTENTIAL ENERGY OF A SYSTEM OF CHARGES [JEE Advanced-2015]

Electric Potential Energy of a System of Charges [JEE Advanced-2015]

2.8 POTENTIAL ENERGY IN AN EXTERNAL FIELD [JEE Main-2015]

2.8.1 Potential energy of a single charge [JEE Main-2015]

2.9 ELECTROSTATICS OF CONDUCTORS [JEE Advanced-2015]

Charges appearing on different surfaces of concentric spherical shells

[JEE Advanced-2015]

2.11 CAPACITORS AND CAPACITANCE [JEE Advanced-2015]

Sharing of Charge [JEE Advanced-2015]

Redistribution of Charge [JEE Advanced-2015]

2.14 COMBINATION OF CAPACITORS [JEE Advanced-2015]

2.14.1 Capacitors in Series

2.14.2 Capacitors in Parallel [JEE Advanced-2015]

Multiple Dielectric Capacitors; Series combination of dielectrics [JEE Main-2015]

Two Laws in Capacitors [JEE Advanced-2015]

2.15 ENERGY STORED IN A CAPACITOR [JEE Advanced-2015]

CHAPTER THREE CURRENT ELECTRICITY

3.4 OHM’S LAW [JEE Main-2015; JEE Advanced-2015]

Dependence of the Resistance [JEE Main-2015]

3.8 TEMPERATURE DEPENDENCE OF RESISTIVITY [JEE Main-2015]

3.9 ELECTRICAL ENERGY, POWER [JEE Advanced-2015]

3.10 COMBINATION OF RESISTORS–SERIES AND PARALLEL [JEE Main-2015]

Some Applications [JEE Main-2015]

3.11 CELLS, EMF AND INTERNAL RESISTANCE

Relation among E, V and r [JEE Advanced-2015]

3.12 CELLS IN SERIES AND IN PARALLEL [JEE Main-2015; JEE Advanced-2015]

Parallel Grouping [JEE Main-2015]

3.13 KIRCHHOFF’S RULES



3.15 METER BRIDGE [JEE Main-2015; JEE Advanced-2015]

3.16 POTENTIOMETER [JEE Main-2015; JEE Advanced-2015]

3.17 GALVANOMETER [JEE Main-2015]

3.20 RC CIRCUITS [JEE Main-2015; JEE Advanced-2015]

CHAPTER FORTH MOVING CHARGES AND MAGNETISM

4.2 MAGNETIC FORCE

4.2.2 Magnetic Field, Lorentz Force [JEE Advanced-2015]

4.2.3 Magnetic force on a current-carrying conductor [JEE Advanced-2015]

4.3 MOTION IN A MAGNETIC FIELD [JEE Main-2015; JEE Advanced-2015]

4.5 MAGNETIC FIELD DUE TO A CURRENT ELEMENT, BIOT-SAVART LAW [JEE Advanced-2015]

4.6 Application of Biot-Savart law [JEE Main-2015; JEE Advanced-2015]

4.6.1 Field due to a straight current-carrying wire


4.6.2 Field due to a current loop (or its segment) at its centre


4.6.3 Magnetic Field on the axis of a Circular Current Loop [JEE Advanced-2015]

4.7 AMPERE’S CIRCUITAL LAW [JEE Advanced-2015]

Magnetic field created by a long current carrying wire [JEE Advanced-2015]

4.8 THE SOLENOID AND THE TOROID

4.8.1 The solenoid [JEE Advanced-2015]

4.10 TORQUE ON CURRENT LOOP, MAGNETIC DIPOLE [JEE Advanced-2015]

4.10.2 Circular current loop as a magnetic dipole [JEE Advanced-2015]

CHAPTER SIX ELECTROMAGNETIC INDUCTION

6.4 FARADAY’S LAWS OF INDUCTION [JEE Advanced-2015]

6.5 LENZ’S LAW AND CONSERVATION OF ENERGY [JEE Main-2015]

6.6 MOTIONAL ELECTROMOTIVE FORCE [JEE Main-2015; JEE Advanced-2015]

6.11 GROWTH AND DECAY OF CURRENT IN L-R CIRCUIT [EE Advanced-2015]

6.12 OSCILLATORY DISCHARGE OF L-C CIRCUIT [JEE Main-2015; JEE Advanced-2015]

6.13 INDUCED ELECTRIC FIELD [JEE Advanced-2015]



CHAPTER SEVEN ALTERNATING CURRENT

7.5 AC VOLTAGE APPLIED TO AN CAPACITOR

Impedance [JEE Advanced-2015]

7.6 AC VOLTAGE APPLIED TO A SERIES LCR CIRCUIT [JEE Main-2015; JEE Advanced-2015]

7.6.3 Resonance [JEE Main-2015]

7.9 TRANSFORMERS [JEE Advanced-2015]

CHAPTER NINE RAY OPTICS AND OPTICAL INSTRUMENTS

1. REFLECTION AT PLANE SURFACE(S)

Reflection at ideal plane mirror [JEE Main-2015; JEE Advanced-2015]

Laws of reflection [JEE Main-2015; JEE Advanced-2015]

Formation of image by two inclined mirrors [JEE Main-2015]

2. REFLECTION AT CURVED SURFACE

Quantitative discussion for an axial point object [JEE Advanced-2015]

3. REFRACTION OF LIGHT AT PLANE SURFACE (S)

Refractive index [JEE Main-2015]

IInd Law (Snell's law) [JEE Main-2015; JEE Advanced-2015]

Critical Angle of Incidence [JEE Main-2015; JEE Advanced-2015]

Shifting of image [JEE Advanced-2015]

Refraction of light through two surfaces [JEE Advanced-2015]

Refraction Through Slab (s) [JEE Advanced-2015]

Combination of slabs [JEE Main-2015]

Refraction through a prism placed in air [JEE Main-2015; JEE Advanced-2015]

4. REFRACTION AT A SPHERICAL SURFACERelation between position of object, image and centre of the sphericalrefracting system for an axial point object [JEE Main-2015; JEE Advanced-2015]

5. REFRACTION THROUGH LENS(S)Quantitative Discussion of a thin spherical lens placed in aMedium for an axial point object [JEE Advanced-2015]

Magnification [JEE Main-2015; JEE Advanced-2015]

Calculation of focal length of lens [JEE Main-2015]

Compound Lens [JEE Advanced-2015]



Effect of Silvering A surface of a Thin spherical Lens [JEE Main-2015]

7. EYE AND OPTICAL INSTRUMENTSMicroscope [JEE Main-2015]

Telescopes [JEE Main-2015]

CHAPTER TEN WAVE OPTICS

10.4 COHERENT AND INCOHERENT ADDITION OF WAVES [JEE Advanced-2015]

10.5 INTERFERENCE OF LIGHT WAVES AND YOUNG’S EXPERIMENT [JEE Advanced-2015]

Young’s Double Slit Experiment (YDSE)

Shifting of Fringe Pattern in YDSE [JEE Advanced-2015]

Interference in reflected light [JEE Main-2015]

10.7 POLARISATION [JEE Main-2015]

CHAPTER ELEVEN DUAL NATURE OF RADIATION AND MATTER

11.1 INTRODUCTION

11.1.1 Millikan's oil-drop experiment for determining charge on electron

[JEE Main-2015; JEE Advanced-2015]11.3 PHOTOELECTRIC EFFECT [JEE Advanced 2015]

11.4 EXPERIMENTAL STUDY OF PHOTOELECTRIC EFFECT

11.4.1 Effect of intensity of light on photocurrent [JEE Main-2015]

11.4.2 Effect of Potential on Photoelectric Current [JEE Main-2015]

11.4.3 Effect of frequency of incident radiation on stopping potential [JEE Main-2015]

11.4.4 Effect of time [JEE Main-2015]

11.6 EINSTEIN’S PHOTOELECTRIC EQUATION : ENERGY QUANTUM OF RADIATION [JEE Main-2015]

11.7 PARTICLE NATURE OF LIGHT : THE PHOTON [JEE Advanced-2015]

11.7.1 Intensity of Light due to a Light Source [JEE Main-2015]

11.8 WAVE NATURE OF MATTER [JEE Main-2015; JEE Advanced-2015]

11.9 DAVISSON-GERMER EXPERIMENT [JEE Main-2015; JEE Advanced-2015]

CHAPTER TWELVE ATOMS

12.4 BOHR MODEL OF THE HYDROGEN ATOM [JEE Main-2015; JEE Advanced-2015]

Energy of electron in nth Orbit [JEE Main-2015]



12.5 THE LINE SPECTRUM OF THE HYDROGEN ATOM [JEE Main-2015; JEE Advanced-2015]

12.6 de BROGLIE’S EXPLANATION OF BOHR’S SECOND POSTULATE OF QUANTISATION [JEE Advanced-2015]

Effect of Nucleus motion on energy of atom [JEE Main-2015; JEE Advanced-2015]

X-rays [JEE Advanced-2015]

Characteristics of X-rays [JEE Advanced-2015]

Continous X-rays [JEE Advanced-2015]

CHAPTER THIRTEEN NUCLEI

13.2 ATOMIC MASSES, COMPOSITION OF NUCLEUS AND SIZE OF NUCLEUS [JEE Advanced-2015]

13.3 SIZE OF THE NUCLEUS [JEE Main-2015; JEE Advanced-2015]

13.4 MASS-ENERGY AND NUCLEAR BINDING ENERGY [JEE Main-2015; JEE Advanced-2015]

13.6 RADIOACTIVITY [JEE Advanced-2015]

13.6.1 Law of radioactive decay

Rutherford and Soddy’s law [JEE Main-2015]

Approach for Numerical Problems [JEE Advanced-2015]

Alpha, Beta and Gamma decay [JEE Advanced-2015]

13.7 NUCLEAR ENERGY [JEE Main-2015; JEE Advanced-2015]

13.7.1 Nuclear Fission [JEE Advanced-2015]

13.7.3 Nuclear Fusion – Energy Generation in Stars [JEE Advanced-2015]

CHAPTER FOURTEEN SEMICONDUCTOR ELECTRONICS : MATERIALS,DEVICES AND SIMPLE CIRCUITS

14.7 APPLICATION OF JUNCTION DIODE AS A RECTIFIER [JEE Main-2015]

14.9 JUNCTION TRANSISTOR

14.9.1 Transistor : structure and action [JEE Main-2015]

14.10 DIGITAL ELECTRONICS AND LOGIC GATES

14.10.1 Logic gates [JEE Main-2015]



MATHEMATICSCHAPTER WISE IMPORTANT TOPIC FOR

JEE Main & JEE Advanced-2015

CALCULUS1. FUNCTION AND GRAPH OF FUNCTION

1.1 FUNDAMENTALS [JEE Main-2014; JEE Advnaced-2015]1.2 DOMAIN OF A REAL VALUED FUNCTION OF A REAL VARIABLE [JEE Main-2015]1.3 RANGE OF A FUNCTION [JEE Main-2015; JEE Advnaced-2015]1.4 ONE-ONE, ONTO, MANYONE FUNCTION [JEE Main-2015; JEE Advnaced-2015]1.7 FINDING THE COMPOSITE FUNCTION [JEE Advanced-2015]1.8 INVERSE FUNCTION [JEE Main-2015]1.9 GRAPH OF THE FUNCTION [JEE Main-2015]

2. LIMIT2.2 PRELIMINARY AND EXISTENCE OF LIMIT [JEE Main-2015; JEE Advnaced-2015]

Rationalisation or Double rationalisation Method [JEE Main-2015; JEE Advnaced-2015]

2.3 TRIGONOMETRIC LIMIT 00

??

FORM [JEE Main-2015]

2.5 LIMIT 1 [JEE Advanced-2015]2.8 L’ HOSPITAL RULE [Only JEE Main] 83-84

3. CONTINUITY OF FUNCTION3.1 EXISTENCE OF LIMIT [JEE Main-2015]3.2 CONTINUITY [JEE Main-2015; JEE Advnaced-2015]

4. DIFFERENTIABILITY OF FUNCTION4.1 DEFFINITION OF DIFFERENTIABILITY [JEE Main-2015; JEE Advnaced-2015]4.2 CONTINUITY OF A DIFFERENTIABLE FUNCTION [JEE Main-2015; JEE Advnaced-2015]4.3 DIFFERENTIABILITY OF A CONTINUOUS FUNCTION [JEE Advanced-2015]



4.4 FUNCTIONAL RELATION [JEE Main-2015; JEE Advnaced-2015]

5. DIFFERENTIATION5.1 DIFFERENTIAL CO-EFFICIENT OF ALGEBRIC FUNCTION [JEE Advanced-2015]5.4 LOGARITHMIC FUNCTION [JEE Main-2015]5.5 IMPLICIT FUNCTION [JEE Main-2015]5.7 INVERSE FUNCTION [JEE Main-2015]5.9 (Variable)Variable type [JEE Advanced-2015]

6. MAXIMA AND MINIMA6.1 MAXIMUM AND MINIMUM VALUE OF A FUNCTION [JEE Main-2015; JEE Advnaced-2015]6.2 FORMULAE OF GEOMETRY AND MENSURATION [JEE Main-2015]6.3 INCREASING AND DECREASING FUNCTION (MONOTONOCITY)

7. GEOMETRICAL MEANING OF dy/dx7.1 SLOPE OF TANGENT [JEE Main-2015; JEE Advnaced-2015]7.2 EQUATION OF TANGENT AND TANGENCY [JEE Main-2015]7.5 FINDING x & y (CO ORDINATES OF THE POINT) IF SLOPE OF TANGENT IS GIVEN

[JEE Advanced-2015]

8. PHYSICAL APPLICATIONS OF DERIVATIVES

dy/dx AS A RATE MEASURE8.1 THE RATE OF CHANGE OF ONE VARIABLE IS GIVEN AND THE RATE OF

CHANGE OF OTHER IS TO BE FOUND OR THE RATE OF CHANGE OFTWO VARIABLES ARE TO BE COMPARED [JEE Main-2015]

8.3 INTERPRETATION OF dy/dx AS RATE MEASURE [JEE Main-2015]

9. ROLLE’S THEOREM & LAGRANGE’S MEAN VALUE THEOREM9.1 DIRECT APPLICATION OF ROLLE’S THEOREM AND LAGRANGE’S

MEAN VALUE THEOREM [JEE Main-2015]9.2 FINDING C OF ROLLE’S THEOREM OR LAGRANGE’S MEAN VALUE

THEOREM OR ON VERIFYING THESE THEOREMS [JEE Advanced-2015]

10. INDEFINITE INTEGRATION10.1 DIRECT FORMULAE [JEE Main-2015]



10.2 INTEGRATION BY SUBSTITUTION [JEE Main-2015; JEE Advnaced-2015]

10.12 ? ?pm na x ; x a bx dxa x

? ??? ? [JEE Main-2015; JEE Advnaced-2015]

11. DEFINITE INTEGRATION

11.1a

b

a

c

c

bf x dx f x dx f x dxz z z? ?( ) ( ) ( )

where c, is a point inside or outside the interval [a, b].

In general form :

If a < c1 < c2 < c3 < ...... < cn < b then

f x dx f x dx f x dx f x dx f x dxa

b

a

c

c

c

c

c

c

b

n( ) ( ) ( ) ( ) ...... ( )z z z z z? ? ? ? ?1

1

2

2

3[JEE Advanced-2015]

11.20 0

a af x dx f a x dxz z? ?( ) ( ) Or

a

b

a

bf x dx f a b x dxz z? ? ?( ) ( ) Corollary :

(i) cos sin/ /n nxdx xdx

0

2

0

2? ?z z? ; (ii) lnsin lncos/ /

xdx xdx0

2

0

2? ?z z?

[JEE Main-2015; JEE Advnaced-2015]

11.3–z z=

a

a af x dx f x dx( ) ( )2

0 or 0

According as f(x) is even or odd function of x. [JEE Advanced-2015]

11.4 f x dx f x dx f a x dxa a a

( ) ( ) ( )0

2

0 02z z z? ? ?

Corollary : 0

20

20

a af x dx f x dxz z?

RS|T|

( ) ( ) ,,

if f(2a- x)= f(x) if f(2a - x)= -f(x)

[JEE Advanced-2015]

11.6 If f(a + x) = f(x), then 0 0

na af x dx n f x dxz z?( ) ( )

or, f x dx f x dx f x dx f x dx f x dxna a

a

a

a

a

n a

na( ) ( ) ( ) ( ) .... ( )

( )0 0

2

2

3

1z z z z z? ? ? ? ??




11.8 (i) If the function f(x) increases and has a concave graph in the

interval [a, b], then ( ) ( ) ( ) ( ) ( ) ( )b a f a x dx b a f a f b

a

b? ? ? ? ?z f

2

(ii) If the function f(x) increases and has a convex graph in the

interval [a, b], then ( ) ( ) ( ) ( ) ( ) ( )b a f a f b x dx b a ba

b? ? ? ? ?z2

f f [JEE Advanced-2015]

11.10 Suppose that f(x, ) are continuous functions when c d and a x b,

then b

ar ( ) f (x, )dx,? ? ?? ?? where r ( )??

is the derivative of I () w.r.t. and f’ (x, ) is the derivative off(x, ) w.r.t. , keeping x constant. [JEE Main-2015; JEE Advnaced-2015]

11.13 NEWTON LEIBNITZ FORMULAType A Limit [JEE Advanced-2015]Type B Continuity and differentiability [JEE Advanced-2015]Type D Monotonocity [JEE Advanced-2015]Type E Functional equation of function [JEE Main-2015; JEE Advnaced-2015]

12. DEFINITE INTEGRATION AS THE LIMIT OF A SUM12.1 SERIES OF THE LIMIT OF A SUM [JEE Advanced-2015]

13. AREA13.3 STRAIGHT LINE WITH PARABOLA [JEE Main-2015; JEE Advnaced-2015]13.5 STRAIGHT LINE WITH TRIGONOMETRIC FUNCTION

[JEE Main-2015; JEE Advnaced-2015]13.7 LOGARITHMIC FUNCTION, EXPONENTIAL FUNCTION AND

STRAIGHT LINE WITH LOGARITHMIC FUNCTION ANDEXPONENTIAL FUNCTION [JEE Main-2015; JEE Advnaced-2015]

13.10 PARABOLA [JEE Main-2015]13.12 GENERAL [JEE Advanced-2015]13.13 FINDING AREA INCLUDED BETWEEN A CURVE, X-AXIS AND

TWO ORDINATES OR A CURVE, Y-AXIS AND TWO ABSCISSAE [JEE Advanced-2015]



13.14 FINDING THE AREA INCLUDED BETWEEN TWO CURVES ANDTWO ORDINATES (OR TWO ABSCISSAE) [JEE Advanced-2015]

14. DIFFERENTIAL EQUATION14.2 FORMATION OF DIFFERENTIAL EQUATION [JEE Main-2015; JEE Advnaced-2015]14.3 VARIABLE SEPARABLE FORM [JEE Main-2015; JEE Advnaced-2015]14.5 EQUATION REDUCIBLE TO HOMOGENEOUS FORM [JEE Main-2015]14.7 LINEAR EQUATION [JEE Main-2015; JEE Advnaced-2015]14.11 ORTHOGONAL TRAJECTORY [JEE Advanced-2015]

ALGEBRA1. COMPLEX NUMBER

1.3 PROBLEMS BASED ON CONJUGATE, MODULUS AND PUTTING A COMPLEXNUMBER IN THE FORM OF A + IB & ALGEBRIC OPERATION OFCOMPLEX NUMBER [JEE Main-2015]1.3.2 Conjugate [JEE Main-2015]

1.4 PROBLEMS BASED ON ARGUMENT, MODULUS-ARGUMENT FORM OF A COMPLEXNUMBER, EXPONENTIAL AND LOGARITHM, TRIGONOMETRICAL RATIO ANDINVERSE FUNCTION OF ANY COMPLEX NUMBER [JEE Main-2015]1.4.1 Argument [JEE Main-2015]

1.5 PROBLEMS BASED ON TRIANGLE INEQUALITY [JEE Main-2015]1.6 PROBLEMS BASED ON CUBE CUBE ROOT OF ANY REAL NUMBER AND ITS PROPERTIES

1.6.1 Cube roots of unity [JEE Main-2015]1.7 PROBLEMS BASED ON PROPERTIES OF MODULUS, CONJUGATE AND ARGUMENT

[JEE Main-2015; JEE Advnaced-2015]1.9 PROBLEMS BASED ON SOLVING EQUATION INVOLVING COMPLEX NUMBER

[JEE Main-2015; JEE Advnaced-2015]1.10 PROBLEMS BASED ON APPLICATION OF COMPLEX NUMBER IN GEOMETRY 46-49

1.10.2 Application of Modulus, Conjugate and Argument [JEE Main-2015]1.10.3 Straight Line [JEE Advnaced-2015]

1.11 PROBLEMS BASED ON LOCUS [JEE Main-2015; JEE Advnaced-2015]



2. QUADRATIC EQUATION AND EXPRESSION2.2 PROBLEMS BASED ON RELATION IN THE COEFFICIENTS OF A QUADRATIC

EQUATION WHEN A RELATION BETWEEN ITS ROOTS ARE GIVEN[JEE Main-2015; JEE Advnaced-2015]

2.3 PROBLEMS BASED ON NATURE (OR CHARACTER) OF THE ROOTS OFA QUADRATIC EQUATION [JEE Advnaced-2015]

2.4 PROBLEMS BASED ON VALUE OF A SYMMETRIC EXPRESSION OF AND , WHERE AND ARE ROOTS OF A QUADRATIC EQUATION [JEE Main-2015]

2.6 PROBLEMS BASED ON COMMON ROOTS [JEE Main-2015; JEE Advnaced-2015]2.7 PROBLEMS BASED ON SIGN SCHEME [JEE Main-2015]2.8 PROBLEMS BASED ON SOLUTION OF DIFFERENT TYPES OF

EQUATIONS INVOLVING MODULUS, LOGARITHM, EXPONENTIAL ANDGREATEST INTEGER FUNCTION2.8.3 Logarithmic Equation [JEE Advnaced-2015]2.8.5 Exponential Equations [JEE Main-2015; JEE Advnaced-2015]

2.9 PROBLEMS BASED ON MAXIMUM AND MINIMUM VALUE OFANY RATIONAL EXPRESSION [JEE Advnaced-2015]

2.12 PROBLEMS BASED ON RELATION BETWEEN ROOTS AND COEFFICIENTS OF CUBIC[JEE Main-2015]

2.14 INEQUALITY2.14.3 A.M. G.M. H.M. [JEE Main-2015; JEE Advnaced-2015]

3. SEQUENCE AND SERIES3.2 PROBLEMS BASED ON FORMULA TN = A + (N – 1) D [JEE Main-2015]3.3 PROBLEMS BASED ON PROPERTIES OF A.P. [JEE Advnaced-2015]3.5 PROBLEMS BASED ON SUM TO N TERMS OF AN A.P.[JEE Main-2015; JEE Advnaced-2015]3.7 PROBLEMS BASED ON FORMULA TN = ARN-1 [JEE Main-2015]3.10 PROBLEMS BASED ON SUM OF N TERMS OF A G.P.

3.10.1 Sum of n terms of a G.P. [JEE Main-2015; JEE Advnaced-2015]3.10.2 Arithmetico-geometric Progression (A.G.P) [JEE Main-2015]

3.12 PROBLEMS BASED ON H.P.3.12.1 nth term of H.P. [JEE Advnaced-2015]

3.14 PROBLEMS BASED ON A.P., G.P. AND H.P. [JEE Advnaced-2015]3.15 PROBLEMS BASED ON A.M., G.M. AND H.M. [JEE Advnaced-2015]



3.16 PROBLEMS BASED ON SUMMATION OF THE SERIES[JEE Main-2015; JEE Advnaced-2015]

4. PERMUTATION AND COMBINATION

4.3 APPLICATION OF nPr

Type B Number of Permutation when repetition is allowed [JEE Advanced-2015]Type D Permutation of objects not all of which are distinct


4.6 APPLICATION OF nCr

Type A Restricted Combination [JEE Main-2015; JEE Advnaced-2015]Type B Number of Combinations when a given Number of things are

to be selected from different groups of things [JEE Main-2015]Type C : Open Selection [JEE Main-2015]

4.8 MULTINOMIAL THEOREM [JEE Main-2015]

4.10 COMBINATORIAL NUMBER THEORY [JEE Main-2015; JEE Advnaced-2015]

5. BINOMIAL THEOREM

5.1 BINOMIAL EXPANSION WITH POSITIVE INTEGRAL INDEX [JEE Main-2015]5.3 THE COEFFICIENT OF Xr IN THE BINOMIAL EXPANSION

Type A Finding the coefficient of xr [JEE Main-2015; JEE Advnaced-2015]

5.7 CONSECUTIVE COEFFICIENTS OR CONSECUTIVE TERMS [JEE Main-2015]

5.8 DIVISIBILITY [JEE Main-2015]

5.9 SUMMATION OF THE SERIES [JEE Main-2015; JEE Advanced-2015]

Type F : Exponential Series [JEE Main-2015]5.10 BINOMIAL EXPANSION WITH NEGATIVE INTEGER OR POSITIVE

OR NEGATIVE FRACTION INDEX

Type C The Coefficient of xr in The Binomial Expansion [JEE Main-2015]5.11 EXPONENTIAL SERIES [JEE Main-2015]

6. PROBABILITY

5A. BASIC CONCEPTS OF PROBABILITY THEORY [JEE Main-2015; JEE Advnaced-2015]5B. COMPOUND PROBABILITY [JEE Main-2015; JEE Advnaced-2015]5C. CONDITIONAL PROBABILITY [JEE Main-2015; JEE Advnaced-2015]

5D. TOTAL PROBABILITY [JEE Advanced-2015]



5E. BAYES’S THEOREM [JEE Main-2015; JEE Advnaced-2015]5F. BINOMIAL PROBABILITY [JEE Main-2015; JEE Advnaced-2015]5H. BERNOULLI’S TRIAL [JEE Main-2015]

7. DETERMINANT7.1 THE VALUE OF DETERMINANT [JEE Main-2015; JEE Advnaced-2015]7.2 PROPERTIES OF A DETERMINANT [JEE Main-2015; JEE Advanced-2015]7.3 SOLUTION OF EQUATIONS IN THE FORM OF DETERMINANTS

[JEE Main-2015; JEE Advnaced-2015]7.4 CONSISTENCY OF SYSTEM OF NON HOMOGENEOUS LINEAR

EQUATIONS AND NONTRIVIAL SOLUTION OF HOMOGENEOUSSYSTEM OF LINEAR SEQUATIONS [JEE Main-2015; JEE Advnaced-2015]

8. MATRICES8.1 DEFINITIONS OF TERMS RELATED TO MATRIX [JEE Main-2015; JEE Advnaced-2015]8.3 PRODUCT OF MATRICES [JEE Main-2015; JEE Advnaced-2015]8.4 TRANSPOSE OF A MATRIX [JEE Main-2015; JEE Advnaced-2015]8.5 ADJOINT OF A MATRIX [JEE Main-2015; JEE Advnaced-2015]8.6 INVERSE OF A MATRIX [JEE Main-2015; JEE Advnaced-2015]8.7 SOLUTION OF SIMULTANEOUS LINEAR EQUATIONS [JEE Main-2015]8.10 EIGEN VALUES OF THE MATRIX [JEE Main-2015; JEE Advanced-2015]

CO-ORDINATE GEOMETRY1. CO-ORDINATES

MODEL V PROBLEMS BASED ON TO FIND THE CENTROID OR INCENTRE OF A TRIANGLEType A The centroid of a triangle with vertices A (x1,y1), B(x2y2) and C(x3,y3)

[JEE Main-2015]Type B The in–centre of the ABC [JEE Main-2015]

2. STRAIGHT LINE

MODEL III PROBLEMS BASED ON APPLYING THE STANDARD FORM xa

yb 1[JEE Main-2015]

MODEL VII PROBLEMS BASED ON USING THE CONDITION OF PARALLELISM [JEE Main-2015]



MODEL IX PROBLEMS BASED ON FAMILY OF STRAIGHT LINES WITHONE ARE ARBITRARY CONSTANT IN THE EQUATION [JEE Advnaced-2015]

MODEL X PROBLEMS BASED ON FINDING THE LENGTH OF PERPENDICULAR [JEE Main-2015]MODEL XII EQUATION OF STRAIGHT LINES PASSING THROUGH A GIVEN POINT

AND MAKING A GIVEN ANGLE WITH A GIVEN LINE [JEE Advnaced-2015]MODEL XIV PROBLEMS BASED ON BISECTOR OF ANGLE[JEE Main-2015; JEE Advnaced-2015]MODEL XV PROBLEMS BASED ON FINDING CENTROID, INCENTRE, ORTHOCENTRE AND

CIRCUMCENTRE OF A TRI-ANGLE WHEN THE EQUATION OF SIDES ARE GIVEN[JEE Main-2015; JEE Advnaced-2015]

4. TRANSFORMATIONCHANGE OF AXES OR THE TRANSFORMATIONS OF AXES [JEE Main-2015]

5. CIRCLEMODEL I Type A Problems based on finding the equation of circle of known

centre and radius (x–)2 + (y – )2 = r2 [JEE Advnaced-2015]Type B Problems based on finding the centre and the radius from the given

equation of a circle [JEE Main-2015]MODEL II PROBLEMS BASED ON THE EQUATION OF CIRCLE WHEN EXTREMITIES OF A

DIAMETER ARE GIVEN [JEE Main-2015]MODEL IV PROBLEMS BASED ON CIRCLES IN SPECIAL SITUATION [JEE Advnaced-2015]MODEL VI PROBLEMS BASED ON EQUATION OF TANGENT, CONDITION FOR TANGENCY

AND THE POINT OF CONTACT : The condition for tangency [JEE Advnaced-2015]MODEL IX PROBLEMS BASED ON CHORD WHOSE MIDDLE POINT IS KNOWN

xx1 + yy1 – a2 = x12 + y1

2 – a2 or T = S1 [JEE Advnaced-2015]MODEL X PROBLEMS BASED ON PAIR OF TANGENT [JEE Advnaced-2015]MODEL XIII PROBLEM BASED ON EQUATION OF FAMILY OF CIRCLE

[JEE Main-2015; JEE Advnaced-2015]MODEL XVI PROBLEMS BASED ON COMMON TANGENT OF TWO CIRCLE


6. PARABOLAMODEL I PROBLEMS BASED ON FINDING THE EQUATION OF A PARABOLA

FROM THE KNOWN PARTSThe equation of a parabola when focus is the origin and axis of theparabola is the x-axis [JEE Advnaced-2015]



MODEL II PROBLEMS BASED ON FINDING PARTS FROM THE EQUATION OF PARABOLAType A Vertex [JEE Main-2015]

MODEL III PROBLEMS BASED ON CONDITION OF TANGENCY [JEE Main-2015]MODEL IV PROBLEMS BASED ON EQUATION OF TANGENTS

[JEE Main-2015; JEE Advnaced-2015]MODEL V PROBLEMS BASED ON NORMAL AND NORMALCY [JEE Advnaced-2015]MODEL VI PROBLEMS BASED ON LOCUS [JEE Advnaced-2015]MODEL VII [JEE Advnaced-2015]

7. ELLIPSEMODEL I PROBLEMS BASED ON FINDING THE EQUATION OF AN ELLIPSE

FROM KNOWN PARTSGeneral Equation of an ellipse (l2 + m2) {(x–a)2 + (y–b)2} = e2(lx + my + n)2

[JEE Main-2015]MODEL II PROBLEMS BASED ON FINDING PARTS FROM THE EQUATION OF AN ELLIPSE

Type A Focus [JEE Advnaced-2015]Type B Directrix [JEE Main-2015]Type D Eccentricity [JEE Main-2015; JEE Advnaced-2015]

MODEL III PROBLEMS BASED ON TANGENT AND TANGENCYThe equation of the tangent at any point (x1, y1) on the ellipse

xa

yb

2

2

2

2 1 is xx

a

yy

b1

21

2 1 [JEE Advnaced-2015]

The equation of any tangent to ellipse xa

yb

2

2

2

2 1 may be taken

as y mx a m b 2 2 2 [JEE Advnaced-2015]MODEL IV PROBLEMS BASED ON NORMAL AND NORMALCY

Type A The equation of the normal at any point (x1, y1) on the ellipse xa

yb

2

2

2

2 1

[JEE Advnaced-2015]

MODEL V PROBLEMS BASED ON LOCUS [JEE Main-2015]

8. HYPERBOLAMODEL I PROBLEMS BASED ON FINDING THE EQUATION OF A HYPERBOLA



FROM GIVEN PARTSGeneral equation of a hyperbola [JEE Main-2015; JEE Advnaced-2015]

MODEL II PROBLEMS BASED ON FINDING PARTS FROM THE EQUATION OFA HYPERBOLAType D Latus rectum [JEE Advnaced-2015]

MODEL III PROBLEMS BASED ON TANGENT AND TANGENCYType A The equation of the tangent at any point (x1 , y1) on

the hyperbola 1by

ax

2

2

2

2 is 1

byy

axx

21

21

Line y = mx + C will be tangent to hyperbola xa

yb

2

2

2

2 1 if C a m b 2 2 2

So equation of tangent to the hyperbola xa

yb

2

2

2

2 1 is y = mx a m b 2 2 2

[JEE Advnaced-2015]MODEL IV PROBLEMS BASED ON NORMAL AND NORMALCY

Type A The equation of the normal at any point (x1 , y1) on the hyperbola[JEE Advnaced-2015]

MODEL V PROBLEMS BASED ON EQUATION OF CHORD [JEE Advnaced-2015]

TRIGONOMETRY2. TRIGONOMETRICAL FUNCTIONS OF ANGLES

2.2 PROBLEMS BASED ON IDENTITY [JEE Main-2015; JEE Advnaced-2015]

4. TRIGONOMETRICAL RATIOS OF COMPOUND ANGLES4.3 PROBLEMS BASED ON CONDITION [JEE Main-2015]4.5 PROBLEMS BASED ON REDUCTION OF EXPRESSION [JEE Advnaced-2015]

6. TRIGONOMETRICAL RATIOS OF MULTIPLE ANGLES6.1 TRIGONOMETRICAL RATIOS OF MULTIPLE ANGLES [JEE Main-2015]



8. TRIGONOMETRICAL IDENTITIES8.4 MISCELLANEOUS PROBLEMS [JEE Main-2015]

9. TRIGONOMETRIC EQUATIONS AND THEIR GENERAL SOLUTIONS

9.1 If sin = sin or cosec = cosec then = n + (–1)n ,n I(set of all integers) [JEE Main-2015]

9.4 PROBLEMS BASED ON EQUATIONS OF THE FORM a cos + b sin = c[JEE Advnaced-2015]

9.5 MISCELLANEOUS PROBLEMS [JEE Advnaced-2015]

10. INVERSE TRIGONOMETRICAL FUNCTIONS10.1 PROBLEMS BASED ON PRELIMINARIES [JEE Main-2015]10.4 MISCELLANEOUS PROBLEMS [JEE Advnaced-2015]

11. PROPERTIES OF TRIANGLES

11.1 PROBLEMS BASED ON a

Ab

Bc

CR

sin sin sin 2 [JEE Main-2015]

11.3 PROBLEMS BASED ONa = b cos C + c cos B; b = c cos A + a cos C, c = a cos B + b cos A [JEE Advnaced-2015]

11.4 PROBLEMS BASED ON AREA BASE11.4.1 Area of the ABC [JEE Advnaced-2015]

11.6 MISCELLANEOUS PROBLEMS [JEE Main-2015]11.9 MISCELLANEOUS PROBLEMS [JEE Main-2015; JEE Advnaced-2015]

VECTOR10.4 Addition of Vectors [JEE Main-2015; JEE Advnaced-2015]

Properties of vector addition [JEE Advanced-2015]10.5.3 The Section Formula (the division formula) [JEE Main-2015]10.5.4 Collinearity of points [JEE Main-2015]10.5.5 Coplanarity of vectors or points [JEE Advanced-2015]10.6.1 Scalar (or dot) product of two vectors [JEE Main-2015]



10.6.2 Projection of a vector on a line [JEE Main-2015; JEE Advnaced-2015]10.6.2.1 Use of dot product for angle between two vectors [JEE Advanced-2015]

10.6.3 Vector (or cross) product of two vectors [JEE Advanced-2015]10.7.1 Scalar triple product of three vectors [JEE Main-2015; JEE Advnaced-2015]10.7.2 Vector triple product of three vectors [JEE Main-2015; JEE Advnaced-2015]

11. THREE DIMENSIONAL GEOMETRY11.2 Direction Cosine and Direction Ratios of a Line [JEE Main-2015]

11.3 Equation of a Line in Space

11.3.1 Equation of a line through a given point and parallel to a given vector[JEE Advanced-2015]

11.3.2 Equation of a line passing through two given points [JEE Main-2015]11.4 Angle between Two Lines

11.4.1 Perpendicular distance of a point from a line [JEE Main-2015]11.5 Shortest Distance between Two Lines

Condition for lines to intersect [JEE Main-2015; JEE Advnaced-2015]11.6 The Plane

11.6.2 Equation of a perpendicular to a given vector and passing througha given point [JEE Advanced-2015]11.6.5 Plane passing through the intersection of two plane [JEE Advanced-2015]

11.8 Angle between Two Planes [JEE Main-2015]11.9 Distance of a Point a Plane [JEE Main-2015; JEE Advnaced-2015]11.10 Angle between a Line and a Plane [JEE Main-2015]11.11 Parametric form of Plane [JEE Advanced-2015]11.12 Equation of the Plane Containing Lines [JEE Advanced-2015]



CHEMISTRYCLASS XI

CHAPTER WISE IMPORTANT TOPIC FORJEE Main & JEE Advanced - 2015

PHYSICAL CHEMISTRYUNIT 1 SOME BASIC CONCEPTS OF CHEMISTRY

1.8 MOLE CONCEPT AND MOLAR MASSES [JEE Main-2015]

1.9 PERCENTAGE COMPOSITION [JEE Advanced-2015]

1.9.1 Empirical Formulae for Molecular formulae [JEE Main-2015]

1.10 STOICHIOMETRY AND STOICHIOMETRIC CALCULATIONS [JEE Advanced-2015]

1.10.2 Reactions in Solutions

Molarity [JEE Main-2015; JEE Advanced-2015]

Molality [JEE Main-2015]

UNIT 2 STRUCTURE OF ATOM

2.4 BOHR’S MODEL FOR HYDROGEN ATOM [JEE Main-2015; JEE Advanced-2015]

Kinetic Energy [JEE Advanced-2015]

Ionization Energy [JEE Main-2015]

2.4.1 Explanation of Line Spectrum of Hydrogen [JEE Main-2015]

2.5 TOWARDS QUANTUM MECHANICAL MODEL OF THE ATOM

2.5.1 Dual Behaviour of Matter [JEE Advanced-2015]

2.5.2 Heisenberg’s Uncertainty Principle [JEE Main-2015]

2.6 QUANTUM MECHANICAL MODEL OF ATOM [JEE Advanced-2015]

Hydrogen Atom and the Schrodinger Equation [JEE Main-2015]

2.6.1 Orbitals and Quantum Numbers [JEE Main-2015; JEE Advanced-2015]



UNIT 3 CLASSIFICATION OF ELEMENTS AND

PERIODICITY IN PROPERTIES

3.6 ELECTRONIC CONFIGURATIONS AND TYPES OF ELEMENTS : s-, p-, d-, f- BLOCKS

3.6.3 The d-Block Elements (Transition Elements) [JEE Main-2015]

3.7 PERIODIC TRENDS IN PROPERTIES OF ELEMENTS

3.7.1 Trends in Physical Properties

Atomic Radius [JEE Main-2015]

Ionic Radius [JEE Main-2015]

Ionization Enthalpy or Ionisation potential or Ionisation Energy [JEE Main-2015]

Electron Gain Enthalpy or Electron Affinity (Ea) [JEE Main-2015]

Electronegativity [JEE Main-2015]

3.7.2 Periodic Trends in Chemical Properties [JEE Main-2015]

3.7.3 Periodic Trends and Chemical Reactivity [JEE Main-2015]

UNIT 4 CHEMICAL BONDING AND MOLECULAR STRUCTURE

4.1 KÖSSEL-LEWIS APPROACH TO CHEMICAL BONDING

4.1.2 Covalent Bond [JEE Main-2015; JEE Advanced-2015]

4.3 BOND PARAMETERS

4.3.3 Bond Enthalpy [JEE Advanced-2015]

4.3.4 Bond Order [JEE Main-2015; JEE Advanced-2015]

4.4 THE VALENCE SHELL ELECTRON PAIR REPULSION (VSEPR) THEORY


4.5 VALENCE BOND THEORY [JEE Main-2015]

4.5.1 Orbital Overlap Concept [JEE Main-2015]

4.6 HYBRIDIZATION

4.6.1 Types of Hybridisation [JEE Main-2015; JEE Advanced-2015]

4.7 MOLECULAR ORBITAL THEORY (HUND-MULLIKEN)

4.7.2 Conditions for the Combination of Atomic Orbitals [JEE Advanced-2015]



4.7.5 Electronic Configuration and Molecular Behaviour


UNIT 5 STATES OF MATTER5.5 GAS LAWS

5.5.1 Boyle's Law (Pressure - Volume Relationship) (1662) [JEE Advanced-2015]

5.7 KINETIC MOLECULAR MODEL OF GAS [JEE Main-2015; JEE Advanced-2015]

5.8 BEHAVIOUR OF REAL GASES : DEVIATION FROM IDEAL GAS BEHAVIOUR


UNIT 6 THERMODYNAMICS

6.2 APPLICATIONS [JEE Advanced-2015]

6.2.1 Work [JEE Main-2015]

6.4 ENTHALPY CHANGE, rH OF A REACTION-REACTION ENTHALPY

Enthalpy changes during phase transformations [JEE Advanced-2015]

Standard Enthalpy of formation [JEE Main-2015]

6.5 ENTHALPIES FOR DIFFERENT TYPES OF REACTIONS

Standard enthalpy of combustion (symbol coH ) [JEE Main-2015; JEE Advanced-2015]

Bond Enthalpy (Symbol : bondoH ) [JEE Main-2015]

Enthalpy of solution (symbol : soloH ) [JEE Main-2015; JEE Advanced-2015]

6.6 SPONTANEITY [JEE Main-2015; JEE Advanced-2015]

6.7 GIBBS ENERGY CHANGE AND EQUILIBRIUM [JEE Main-2015; JEE Advanced-2015]

UNIT 7 EQUILIBRIUM

7.3 LAW OF CHEMICAL EQUILIBRIUM AND EQUILIBRIUM CONSTANT [JEE Main-2015]

7.4 HOMOGENEOUS EQUILIBRIA [JEE Main-2015; JEE Advanced-2015]

7.4.1 Equilibrium Constant in Gaseous Systems [JEE Main-2015]

7.6 APPLICATION OF EQUILIBRIUM CONSTANTS [JEE Advanced-2015]

7.8 FACTORS AFFECTING EQUILIBRIUM [JEE Advanced-2015]



7.9 IONIC EQUILIBRIUM IN SOLUTION [JEE Main-2015]

7.10 ACIDS, BASES AND SALTS [JEE Main-2015]

7.11 INONISATION OF ACIDS AND BASES

7.11.1 The Ionization Constant of Water and its Ionic Product [JEE Advanced-2015]

7.11.2 The pH Scale [JEE Main-2015]

7.11.3 Ionization Constant of Weak Acids [JEE Main-2015]

7.11.7 Factors Affecting Acid Strength [JEE Main-2015]

7.11.9 Hydrolysis of Salts and the pH of their Solutions [JEE Advanced-2015]

7.12 BUFFER SOLUTIONS [JEE Advanced-2015]

7.13 SOLUBILITY EQUILIBRIA OF SPARINGLY SOLUBLE SALTS [JEE Advanced-2015]

7.13.1 Solubility Product Constant [JEE Main-2015; JEE Advanced-2015]

7.13.2 Common Ion Effect on Solubility on Ionic Salts [JEE Main-2015]

UNIT 8 REDOX REACTIONS

8.3 OXIDATION NUMBER [JEE Main-2015; JEE Advanced-2015]

8.3.2 Balancing Redox Reactions [JEE Main-2015]



CLASS XII


PHYSICAL CHEMISTRYUNIT 1 THE SOLID STATE

1.3 CLASSIFICATION OF CRYSTALLINE SOLIDS

1.3.4 Covalent or Network Solids [JEE Main-2015]1.4 CRYSTAL LATTICES AND UNIT CELLS

1.4.1 Primitive and Centred Unit Cell [JEE Advanced-2015]1.5 NUMBER OF ATOMS IN A UNIT CELL [JEE Advanced-2015]

1.5.2 Body Centred Cubic Unit Cell [JEE Main-2015]1.5.3 Face Centred Cubic Unit Cell [JEE Main-2015]

1.6 CLOSE-PACKED STRUCTURES

1.6.1 Formula of a Compound and Number of Voids Field[JEE Main-2015; JEE Advanced-2015]

1.7 PACKING EFFICIENCY [JEE Main-2015]1.7.1 Packing Efficiency in hcp and ccp Structures

[JEE Main-2015; JEE Advanced-2015]1.8 CALCULATIONS INVOLVING UNIT CELL DIMENSIONS [JEE Main-2015]1.9 IMPERFECTIONS IN SOLIDS

1.9.1 Types of Point Defects [JEE Advanced-2015]

UNIT 2 SOLUTIONS

2.2 EXPRESSING CONCENTRATIONS OF SOLUTIONS [JEE Main-2015; JEE Advanced-2015]2.3 SOLUBILITY

2.3.1 Solubility of a Solid in a Liquid [JEE Advanced-2015]2.3.1.1 Effect of Temperature [JEE Advanced-2015]2.3.1.2 Effect of Pressure [JEE Advanced-2015]



2.3.2 Solubility of a gas in a Liquid [JEE Advanced-2015]

2.3.2.1 Effect of Temperature [JEE Advanced-2015]

2.4 VAPOUR PRESSURE OF LIQUID SOLUTIONS

2.4.1 Vapour Pressure of Liquid-Liquid Solutions [JEE Main-2015]

2.5 IDEAL AND NON-IDEAL SOLUTIONS

2.5.1 Ideal Solution [JEE Advanced-2015]

2.5.2 Non-ideal Solutions [JEE Main-2015]

2.6 COLLIGATIVE PROPERTIES AND DETERMINATION OF MOLAR MASS

2.6.1 Relative Lowering of Vapour Pressure [JEE Main-2015]

2.6.2 Elevation of Boiling Point [JEE Advanced-2015]

2.6.2.1 Raoult's Law of Elevation of Boiling Point [JEE Advanced-2015]

2.6.2.2 Equation for Elevation of Boiling Point [JEE Advanced-2015]

2.6.3 Depression of Freezing Point [JEE Main-2015; JEE Advanced-2015]

2.6.3.1 Raoult's Law of Freezing Point Depression


2.6.4 Osmosis and Osmotic Pressure [JEE Advanced-2015]

2.6.4.1 Definition of Osmotic Pressure [JEE Advanced-2015]

2.6.4.2 Theory of dilute solution [JEE Advanced-2015]

2.6.4.3 Molecular Mass from Osmotic Pressure [JEE Advanced-2015]

2.7 ABNORMAL MOLAR MASSES [JEE Main-2015; JEE Advanced-2015]

UNIT 3 ELECTROCHEMISTRY

3.1 ELECTROCHEMICAL CELLS [JEE Main-2015; JEE Advanced-2015]

3.3 NERNST EQUATION [JEE Main-2015; JEE Advanced-2015]

3.3.2 Electrochemical Cell and Gibbs Energy of the Reaction


3.4 CONDUCTANCE OF ELECTROLYTIC SOLUTIONS [JEE Advanced-2015]

3.4.2 Variation of Conductivity and Molar Conductivity with Concentration

[JEE Advanced-2015]

3.5 ELECTROLYTIC CELLS AND ELECTROLYSIS [JEE Advanced-2015]

3.7 FUEL CELLS [JEE Main-2015]



UNIT 4 CHEMICAL KINETICS

4.1 RATE OF A CHEMICAL REACTION [JEE Main-2015]

4.2 FACTORS INFLUENCING RATE OF A REACTION

4.2.3 Order of a Reaction [JEE Main-2015; JEE Advanced-2015]

4.3 INTEGRATED RATE EQUATIONS

4.3.1 Zero Order Reactions [JEE Main-2015]

4.3.2 First Order Reactions [JEE Main-2015]

4.3.3 Half-Life of a Reaction [JEE Main-2015; JEE Advanced-2015]

4.5 TEMPERATURE DEPENDENCE OF THE RATE OF A REACTION


4.6 COLLISION THEORY OF CHEMICAL REACTIONS [JEE Advanced-2015]

UNIT 5 SURFACE CHEMISTRY

5.1 ADSORPTION

5.1.4 Adsorption Isotherms [JEE Main-2015; JEE Advanced-2015]

5.4 CLASSIFICATION OF COLLOIDS [JEE Main-2015; JEE Advanced-2015]

5.4.2 Classification Based on Nature of Interaction between

Dispersed Phase and Dispersion Medium [JEE Advanced-2015]



CLASS XI


ORGANIC CHEMISTRYUNIT 12 ORGANIC CHEMISTRY – SOME BASIC PRINCIPLES

AND TECHNIQUES

12.5 NOMENCLATURE OF ORGANIC COMPOUNDS

12.5.2 IUPAC Nomenclature of Alkanes

Seniority table of Functional Group [JEE Main-2015]

12.5.3 Nomenclature of Organic Compounds having Functional Group(s)

HYBRIDIZATION [JEE Advanced-2015]

Types of Hybridisation [JEE Advanced-2015]

Planarity or co-planarity [JEE Advanced-2015]

hybridization vs Bond length [JEE Advanced-2015]

Bond strength vs Bond energy [JEE Advanced-2015]

Acidity of Hydrocarbons [JEE Advanced-2015]

Dipole moment of organic compounds [JEE Advanced-2015]

Hydrogen Bonding [JEE Advanced-2015]

Effect of Intermolecular Hydrogen Bonding [JEE Advanced-2015]

12.6 ISOMERISM [JEE Advanced-2015]

12.6.1 Structural or Constitutional Isomerism [JEE Advanced-2015]

Chain or Skeleton or Nuclear Isomerism [JEE Advanced-2015]

Ring chain isomerism [JEE Advanced-2015]

Tautomerism [JEE Main-2015; JEE Advanced-2015]Structural requirement for tautomerism [JEE Main-2015; JEE Advanced-2015]



Stereo or Configurational or Space Isomerism [JEE Advanced-2015]Geometrical isomerism [JEE Main-2015; JEE Advanced-2015]Optical Isomerism [JEE Advanced-2015]Chiral Center or Stereogenic Center [JEE Main-2015]Calculation of Number of Optical Isomers [JEE Main-2015]Properties of Enantiomers [JEE Advanced-2015]Optical activity of compound containing two chiral carbon atoms [JEE Advanced-2015]Properties of Diastereomers [JEE Advanced-2015]Resolution of racemic modifications [JEE Advanced-2015]Conformational Isomers [JEE Advanced-2015]Stability of Cycloalkanes [JEE Main-2015]

12.7 FUNDAMENTAL CONCEPTS IN ORGANIC REACTION MECHANISM12.7.5 Inductive effect [JEE Main-2015]

Stability of Alkyl Carbocation [JEE Main-2015]12.7.9 Hyperconjugation [JEE Advanced-2015]

Theoretical Interpretation of Hyperconjugation [JEE Advanced-2015]12.7.6 Resonance Structure [JEE Advanced-2015]12.7.6 Resonance Effect or Mesomeric Effect [JEE Advanced-2015]

Application of mesomeric effect [JEE Main-2015]12.7.8 Electromeric Effect (E effect)

Aromaticity or Aromatic Character [JEE Advanced-2015]Reaction Intermediate [JEE Advanced-2015]Carbocation or Carbonium Ion [JEE Main-2015; JEE Advanced-2015]

12.7.8 Types of reagents (Nucleophiles and Electrophiles)[JEE Main-2015; JEE Advanced-2015]

Nucleophiles [JEE Main-2015; JEE Advanced-2015]Relative Strength of organic Acids and Bases

[JEE Main-2015; JEE Advanced-2015]12.7.10 Types of Organic reaction and Mechanism

SN1 mechanism or (Unimolecular nucleophilic substitution reaction)[JEE Advanced-2015]

Friedel-Craft’s Reaction [JEE Advanced-2015]Reimer-tiemann Reaction [JEE Advanced-2015]



UNIT 13 HYDROCARBONS13.2 ALKANES

13.2.2 Preparation [JEE Main-2015]13.2.3 Properties [JEE Main-2015; JEE Advanced-2015]

Chemical properties [JEE Advanced-2015]Halogenation [JEE Main-2015; JEE Advanced-2015]

13.3 ALKENES13.3.5 Properties [JEE Main-2015; JEE Advanced-2015]

Structure and structure base properties [JEE Advanced-2015]Chemical properties [JEE Main-2015; JEE Advanced-2015]Oxidation [JEE Main-2015]Ozonolysis [JEE Main-2015]

13.4 ALKYNES13.4.3 General Method of preparation [JEE Main-2015; JEE Advanced-2015]13.4.4 Properties [JEE Main-2015]

Chemical properties [JEE Main-2015; JEE Advanced-2015]Acidic nature of alkynes [JEE Main-2015]

13.5 AROMATIC HYDROCARBONS13.5.3 Aromaticity [JEE Advanced-2015]13.5.4 Preparation

Chemical properties [JEE Main-2015; JEE Advanced-2015]13.5.5 Properties [JEE Main-2015]

Chemical properties [JEE Main-2015]Electrophilic substitution reactions [JEE Main-2015]Nitration [JEE Main-2015]Friedel–Crafts reaction [JEE Main-2015]



CLASS XII


ORGANIC CHEMISTRYUNIT 10 HALOALKANES AND HALOARENES

10.2 NOMENCLATURE [JEE Main-2015]

10.4 METHODS OF PREPARATION

10.4.1 From Alcohols [JEE Advanced-2015]

10.4.2 From Hydrocarbons (Alkanes) [JEE Main-2015]

From Alkenes [JEE Main-2015; JEE Advanced-2015]

10.4.3 Halogen Exchange [JEE Main-2015]

10.5 PHYSICAL PROPERTIES

Melting and boiling points [JEE Main-2015]

10.6 CHEMICAL REACTIONS

10.6.1 Nucleophilic substitution reactions [JEE Main-2015; JEE Advanced-2015]

Reaction with silver nitrite [JEE Main-2015]

Mechanisms of nucleophilic substitution reactions


Stereochemical aspect of nucleophilic substitution reactions

[JEE Advanced-2015]

SN2 vs SN1 [JEE Main-2015; JEE Advanced-2015]

Elimination Reactions [JEE Advanced-2015]

Orientation in an elimination reaction [JEE Advanced-2015]

Reaction with Metals [JEE Main-2015]

HaloarenesHalogenation [JEE Main-2015; JEE Advanced-2015]



From diazonium salts [JEE Main-2015; JEE Advanced-2015]

Physical properties [JEE Advanced-2015]

10.6.2 Reactions of Haloarenes

Nucleophilic substitution [JEE Main-2015; JEE Advanced-2015]

Substitution by amino group [JEE Advanced-2015]

Substitution by the —CN group [JEE Main-2015]

Electrophilic substitution reactions [JEE Advanced-2015]

Reactions with metals : Wurtz-Fittig reaction [JEE Main-2015]

10.7. POLYHALOGEN COMPOUNDS

10.7.4 Tetrachloromethane (Carbon tetrachloride) [JEE Main-2015]

10.7.6 p, p’-Dichlorodiphenyltrichloroethane (DDT) [JEE Main-2015]

UNIT 11 ALCOHOLS, PHENOLS AND ETHERS

11.2 NOMENCLATURE

Table gives the common and IUPAC names of certain typical alcohols [JEE Main-2015]

Phenols [JEE Main-2015]

11.4 GENERAL METHODS OF PREPARING ALCOHOLS

From Alkenes [JEE Advanced-2015]

By hydration [JEE Advanced-2015]

By hydroboration oxidation [JEE Advanced-2015]

By the Reduction of Aldehydes and Ketones [JEE Main-2015; JEE Advanced-2015]

By the Reduction of Carboxylic Acids and Esters


From Grignard Reagents [JEE Advanced-2015]

11.4.3 Physical Properties of Alcohols

Boiling Point [JEE Advanced-2015]

11.4.4 Chemical Properties of Alcohols

Reactions due to Fission of O–H bond [JEE Advanced-2015]

Reaction with Grignard Reagent [JEE Main-2015]

Reactions of Alcohols Involving C–O Bond Cleavage [JEE Advanced-2015]



Lucas reagent [JEE Main-2015]

Dehydration [JEE Advanced-2015]

Oxidation and Dehydrogenation of Alcohols [JEE Advanced-2015]

11.5 SOME COMMERCIALLY IMPORTANT ALCOHOLS

Methods of Preparation [JEE Advanced-2015]

From benzenediazonium salts [JEE Advanced-2015]

From benzenesulphonic acid [JEE Advanced-2015]

Chemical Properties of Phenols

Reactions of the Phenolic (—OH) group [JEE Advanced-2015]

pKa values of some phenols and ethanol [JEE Main-2015]

Substitution reactions in the benzene nucleus [JEE Advanced-2015]

Kolbe reaction [JEE Main-2015]

Reimer-Tiemann reaction [JEE Advanced-2015]

Oxidation : Uses [JEE Main-2015]

ETHERS

Methods of preparation [JEE Advanced-2015]

By Williamson synthesis [JEE Advanced-2015]

By Williamson synthesis [JEE Advanced-2015]

Reaction with acids [JEE Advanced-2015]

Electrophilic Substitution Reactions [JEE Main-2015; JEE Advanced-2015]

UNIT 12 ALDEHYDES, KETONES AND CARBOXYLIC ACIDS

Nomenclature of Aldehydes

IUPAC Name : The common and IUPAC names of some aldehydes [JEE Main-2015]

General Methods of Preparation of Aldehydes and Ketones

By the oxidation of alcohols [JEE Main-2015; JEE Advanced-2015]

By the dehydrogenation of Alcohols [JEE Main-2015]

By the hydrolysis of gem-dihalides [JEE Advanced-2015]

By Ozonolysis [JEE Advanced-2015]

By the Reduction of Acid Chlorides [JEE Main-2015]



From Alkyl Cyanides [JEE Main-2015]

CHEMICAL PROPERTIES

Nucleophilic Addition Reactions [JEE Advanced-2015]

Reactivity of Aldehydes and Ketones [JEE Advanced-2015]

Reaction with PCl5 [JEE Advanced-2015]

Reduction [JEE Main-2015; JEE Advanced-2015]

Oxidation of Aldehydes [JEE Main-2015]

Oxidation by Tollens reagent [JEE Main-2015]

Oxidation by Fehling’s solution [JEE Main-2015]

Oxidation of Ketones [JEE Advanced-2015]

Reactions due to -Hydrogen [JEE Main-2015; JEE Advanced-2015]

Cannizzaro reaction [JEE Main-2015]

Aromatic Aldehydes [JEE Advanced-2015]

By the hydrolysis of benzal chloride [JEE Advanced-2015]

CHEMICAL REACTIONS [JEE Advanced-2015]

Electrophilic Substitution Reactions [JEE Main-2015; JEE Advanced-2015]

Uses of Aldehydes and Ketones [JEE Main-2015]

The common and IUPAC names of some carboxylic acids [JEE Main-2015]

Methods of Preparation [JEE Main-2015; JEE Advanced-2015]

By the oxidation of alkylbenzenes (Side-chain oxidation) [JEE Main-2015]

By the hydrolysis of nitriles and amides [JEE Main-2015; JEE Advanced-2015]

From Grignard reagents [JEE Advanced-2015]

Physical Properties of Monocarboxylic Acids [JEE Advanced-2015]

Strength of Carboxylic Acids [JEE Main-2015; JEE Advanced-2015]

Chemical Properties [JEE Advanced-2015]

Reactions Involving Cleavage of the O–H bond [JEE Advanced-2015]

Substitution Reactions in the Hydrocarbon Part [JEE Main-2015; JEE Advanced-2015]

Electrophilic Substitution Reactions of Benzoic Acid [JEE Main-2015]



UNIT 27 AMINES

NOMENCLATURE [JEE Main-2015]

The common and IUPAC names of some tertiary amines [JEE Main-2015]

METHODS OF PREPARATION

From Alkyl Halides [JEE Advanced-2015]

By the Reduction of Nitroalkanes, Cyanides (Nitriles), Amides and Oximes

[JEE Advanced-2015]

From nitroalkanes [JEE Main-2015; JEE Advanced-2015]

From alkyl cyanides (alkyl nitriles) [JEE Main-2015]

From acid amides [JEE Main-2015]

From the Hoffmann Bromoamide Degradation Reaction [JEE Advanced-2015]

PHYSICAL PROPERTIES [JEE Advanced-2015]

Boiling Point [JEE Main-2015; JEE Advanced-2015]

Solubility [JEE Advanced-2015]

CHEMICAL PROPERTIES [JEE Advanced-2015]

Basic Character of Amines [JEE Advanced-2015]

Relative basicity of amines [JEE Advanced-2015]

The pKb values of some amines [JEE Main-2015]

Carbylamine Reaction (Carbylamine Test) [JEE Advanced-2015]

Reaction with Grignard Reagent [JEE Advanced-2015]

Electrophilic Substitution Reactions of an Aromatic Amine (Aniline) [JEE Advanced-2015]

Halogenation [JEE Main-2015; JEE Advanced-2015]

Nitration [JEE Main-2015; JEE Advanced-2015]

Sulphonation [JEE Advanced-2015]

BENZENEDIAZONIUM SALTS [JEE Advanced-2015]

Preparation [JEE Advanced-2015]

Substitution of the Diazonium Group [JEE Main-2015; JEE Advanced-2015]

Coupling reaction [JEE Advanced-2015]



UNIT 14 BIOMOLECULES

CLASSIFICATION AND NOMENCLATURE [JEE Main-2015; JEE Advanced-2015]

Structure of Glucose [JEE Main-2015]

Cyclic structure of glucose [JEE Main-2015]

Disaccharides [JEE Advanced-2015]

Polysaccharides [JEE Advanced-2015]

PROTEINS [JEE Main-2015]

The most common naturally occurring amino acids [JEE Main-2015]

VITAMINS [JEE Main-2015]

NUCLEIC ACIDS [JEE Main-2015]

Structure of Nucleic Acids [JEE Main-2015]

UNIT 29 POLYMERS

Addition polymers [JEE Main-2015]

Condensation polymers [JEE Main-2015]

Biodegradable Polymers [JEE Main-2015]

UNIT 16 CHEMISTRY OF EVERYDAY LIFE

Neurologically Active Drugs

Antibiotics [JEE Main-2015]

Antiseptics and disinfectants [JEE Main-2015]

CHEMICALS IN FOOD [JEE Main-2015]

Artificial Sweetening Agents [JEE Advanced-2015]

CLEANSING AGENTS—SOAPS AND DETERGENTS [JEE Main-2015]



CLASS XI


INORGANIC CHEMISTRYUNIT 9 HYDROGEN

9.3 PREPARATION OF DIHYDROGEN, H2

9.3.2 Commercial Production of Dihydrogen [JEE Main-2015]

9.6 WATER

9.6.7 Permanent Hardness [JEE Advanced-2015]

UNIT 10 THE s-BLOCK ELEMENTS10.1 GROUP 1 ELEMENTS : ALKALI METALS [JEE Main-2015; JEE Advanced-2015]

10.1.5 Physical Properties [JEE Main-2015]10.1.6 Chemical Properties [JEE Advanced-2015]

Reactivity towards air [JEE Advanced-2015]

10.8 ANOMALOUS BEHAVIOUR OF BERYLLIUM

10.8.1 Diagonal Relationship between Beryllium and Aluminium [JEE Main-2015]10.9 SOME IMPORTANT COMPOUNDS OF CALCIUM

Calcium Carbonate (CaCO3) [JEE Main-2015]

CLASS XI : UNIT 11 & CLASS XII UNIT 21THE p-BLOCK ELEMENTS

11.3 SOME IMPORTANT COMPOUNDS OF BORON [JEE Main-2015]

11.7 ALLOTROPES OF CARBON

11.7.3 Fullurenes [JEE Advanced-2015]



CLASS XII


INORGANIC CHEMISTRYCLASS XII : UNIT 7 : THE p-BLOCK ELEMENTS

7.1 GROUP 15 ELEMENTS : THE NITROGEN FAMILY

7.1.7 Chemical Properties [JEE Main-2015]

7.2 DINITROGEN [JEE Advanced-2015]

7.5 NITRIC ACID [JEE Advanced-2015]

7.9 OXOACIDS OF PHOSPHORUS [JEE Advanced-2015]

7.10 GROUP 16 ELEMENTS : OXYGEN FAMILY

7.10.8 Chemical Properties [JEE Advanced-2015]

7.16 OXOACIDS OF SULPHUR [JEE Main-2015]

7.18 GROUP 17 ELEMENTS : HALOGEN FAMILY

7.18.7 Physical Properties [JEE Advanced-2015]

7.23 GROUP 18 ELEMENTS : NOBLE GAS [JEE Advanced-2015]

Chemical Properties [JEE Advanced-2015]

XeO3 [JEE Main-2015]

UNIT 6 : GENERAL PRINCIPLES AND PROCESSES OF

ISOLATION OF ELEMENTS

6.1 OCCURRENCE OF METALS [JEE Advanced-2015]

6.2 CONCENTRATION OF ORES [JEE Main-2015; JEE Advanced-2015]



6.2.5 Extraction of metal from concentrated ore

6.2.6 Purification or refining of crude metals [JEE Main-2015]

Metallurgy [JEE Advanced-2015]

6.3 EXTRACTION OF CRUDE METAL FROM CONCENTRATED ORE


UNIT 8 : THE d & f-BLOCK ELEMENTS

8.3 GENERAL PROPERTIES OF THE TRANSITION ELEMENTS (d-BLOCK)

8.3.4 Oxidation States [JEE Main-2015]

8.3.9 Magnetic Properties [JEE Main-2015]

8.4 SOME IMPORTANT COMPOUNDS OF TRANSITION ELEMENTS

KMnO4 [JEE Advanced-2015]

8.5 THE LANTHANOIDS [JEE Main-2015]

UNIT 9 : COORDINATION COMPOUNDS

9.2 DEFINITIONS OF SOME IMPORTANT TERMS PERTAINING

TO COORDINATION COMPOUNDS

Ligands [JEE Advanced-2015]

Co-ordination number [JEE Main-2015]

9.3 NOMENCLATURE OF COORDINATION COMPOUNDS

9.3.2 Naming of Mononuclear Coordination Compounds

9.4 ISOMERISM IN COORDINATION COMPOUNDS

9.4.1 Geometrical Isomerism (Cis-trans isomerism) [JEE Advanced-2015]

9.4.2 Optical Isomerism Structural Isomerism [JEE Main-2015]

9.4.3 Linkage Isomerism [JEE Main-2015]

9.4.5 Ionisation Isomerism [JEE Advanced-2015]

9.4.7 Ligand Isomerism [JEE Main-2015]

9.5 BONDING IN COORDINATION COMPOUNDS



9.5.1 Valence bond theory (V.B.T.)

9.5.2 Magnetic Properties of Coordination Compounds

9.5.4 Crystal Field Theory (C.F.T.) [JEE main-2015]

9.5.5 Colour in Coordination Compounds [JEE Advanced-2015]

9.6 BONDING IN METAL CARBONYLS [JEE Advanced-2015]

9.8 IMPORTANCE AND APPLICATIONS OF COORDINATION COMPOUNDS

In Qualitative Analysis [JEE Advanced-2015]

Electroplating [JEE Main-2015]

ANALYTICAL CHEMISTRY

WET TEST FOR IDENTIFICATION OF BASIC RADICALS

Group IIA (Hg2+, Cu2+, Bi3+) [JEE Advanced-2015]

Group IIIA (Fe3+, Cr3+, Al3+) [JEE Advanced-2015]

Group III B (Mn2+, Zn+2) [JEE Advanced-2015]

PHYSICS CLASS XI - Paradise...

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