Chapterwise Important Topics for JEE Main JEE Advanced 2015

HOW

TO CRACK

JEE MAIN & JEE ADVANCED-2015

1

PHYSICS CLASS XI CHAPTER WISE IMPORTANT TOPIC FOR JEE Main & JEE Advanced-2015 C HAPTER T HREE 3.6

M OTION

S TRAIGHT L INE

IN A

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

C HAPTER F OUR 4.7

M OTION

IN A

P LANE

MOTION IN A PLANE 4.7.1

4.8

[JEE Main-2015]

Position Vector and Displacement Trajectory of a Particle

[JEE Main-2015]

Equation of trajectory

[JEE Main-2015]

Finding trajectory equation

[JEE Main-2015]

MOTION IN A PLANE WITH CONSTANT ACCELERATION

[JEE Main-2015]

4.10 PROJECTILE MOTION RELATIVE VELOCITY IN ONE DIMENSION 4.9


RELATIVE VELOCITY IN TWO DIMENSION Projectile motion of particle relative to moving frame (i.e., Train, Truck, Bus, Car, Plane ......).

C HAPTER FIVE LAWS 5.3

[JEE Advanced-2015]

OF

MOTION

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

PARADISE INSTITUTE

[JEE Main-2015]

YOUR GATEWAY TO JEE Main & JEE Advanced-2015

HOW

TO CRACK


2

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 6.3

AND

Work

POWER [JEE Advanced-2015]

6.11 POWER

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

6.4

KINETIC ENERGY

6.9

THE POTENTIAL ENERGY OF A SPRING

6.6

THE WORK-ENERGY THEOREM FOR A VARIABLE FORCE

[JEE Main-2015]

[JEE Main-2015 & JEE Advanced-2015] 6.8

THE CONSERVATION OF MECHANICAL ENERGY Stability

[JEE Main-2015]

CHAPTER FIVE, SIX & SEVEN IMPULSE, LINEAR-MOMENTUM, CENTER OF MASS

CONSERVATION OF

&

IMPULSE 5.7

7.2

[JEE Main-2015]

LAW OF CONSERVATION OF LINEAR–MOMENTUM

[JEE Advanced-2015]

In one dimension

[JEE Advanced-2015]

In two dimensions

[JEE Advanced-2015]

CENTRE OF MASS Position of centre of mass of two particles in one dimension Continuous system

7.3

COLLISIONS

[JEE Advanced-2015] [Main Only-2015]

MOTION OF THE CENTRE OF MASS

[JEE Advanced-2015]

6.12 COLLISION 6.12.1

Elastic and Inelastic Collisions

PARADISE INSTITUTE

[JEE Advanced-2015]


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6.12.2


3

Collision in One Dimension

[JEE Advanced-2015]

Elastic

[JEE Advanced-2015]

Perfectly Inelastic Collision in One Dimension 6.12.3

[JEE Main-2015]

Collisions in Two Dimensions Oblique inelastic collision

CHAPTER SEVEN CIRCULAR

[JEE Advanced-2015]

AND

5.10 CIRCULAR MOTION

ROTATIONAL

MECHANICS


7.11 KINEMATICS OF ROTATIONAL MOTION ABOUT A FIXED AXIS [JEE Main-2015 & JEE Advanced-2015] Average and Instantaneous Angular Velocity 

[JEE Advanced-2015]

Relations among Angular Variables for Constant Angular Acceleration [JEE Main-2015 & JEE Advanced-2015] 7.6

ANGULAR VELOCITY AND ITS RELATION WITH LINEAR VELOCITY [JEE Main-2015 & JEE Advanced-2015] Vector relation between linear and angular velocity and acceleration [JEE Main-2015 & JEE Advanced-2015]

7.9

Application of uniform circular motion

[JEE Advanced-2015]

Vertical circular motion

[JEE Advanced-2015]

Conical Pendulum

[JEE Advanced-2015]

MOMENTS OF INERTIA (OR ROTATIONAL INERTIA)

7.10 THEOREMS OF PERPENDICULAR AND PARALLEL AXES Theorem of perpendicular axes for a lamina

[JEE Main-2015] [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 [JEE Main-2015 & JEE Advanced-2015] Particle travelling as a projectile

[JEE Main-2015]

7.12 DYNAMICS OF ROTATIONAL MOTION ABOUT A FIXED AXIS

PARADISE INSTITUTE


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4

[JEE Main-2015 & JEE Advanced-2015] 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 8.1

INTRODUCTION

8.3

UNIVERSAL LAW OF GRAVITATION

8.4

THE GRAVITATIONAL CONSTANT

GRAVITATION [JEE Main-2015]

Gravitational Field 8.7

8.5

[JEE Main-2015]

GRAVITATIONAL POTENTIAL ENERGY


Gravitational Potential V


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


8.9

EARTH SATELLITES


Orbital velocity vo 8.11

[JEE Main-2015]

GEOSTATIONARY AND POLAR SATELLITES

8.10 ENERGY OF AN ORBITING SATELLITE

PARADISE INSTITUTE



HOW

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5

8.12 WEIGHTLESSNESS BINARY STAR SYSTEM

C HAPTER N INE 9.6

[JEE Advanced-2015]

M ECHANICAL P ROPERTIES

OF

S OLIDS

ELASTIC MODULI 9.6.1

Young’s Modulus

CHAPTER TEN

[JEE Main-2015; JEE Advanced-2015]

MECHANICAL PROPERTIES

10.2 PRESSURE 10.2.3

OF

FLUIDS


Atmospheric Pressure and Gauge Pressure Buoyancy and Archimedes Principle

[JEE Main-2015]

Condition of flotation and stability of floating body 10.3 STREAMLINE FLOW

[JEE Advanced-2015]


Equation of continuity


10.4 BERNOULLI’S PRINCIPLE


10.5 VISCOSITY

10.7

Stoke's law of viscosity drag

[JEE Main-2015]

Terminal velocity

[JEE Main-2015]

SURFACE TENSION 10.7.1

Surface energy

10.7.5

Capillary Rise

[JEE Advanced-2015] [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

PARADISE INSTITUTE


HOW

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11.8.1


6

Latent Heat

[JEE Main-2015]

Heat of transformation

[JEE Main-2015]

11.9 HEAT TRANSFER 11.9.1

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 12.4 HEAT, INTERNAL ENERGY AND WORK INTERNAL ENERGY WORK DONE BY A GAS (OR PdV WORK) 12.5 FIRST LAW OF THERMODYNAMICS SPECIFIC HEAT CAPACITIES OF GASES 12.8 THERMODYNAMIC PROCESSES 12.8.1 Quasi-static processes Cyclic Process

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

12.13 CARNOT CYCLE

[JEE Main-2015]

CHAPTER THIRTEEN KINETIC THEORY 13.3 BEHAVIROU OF GASES VANDER WAAL'S EQUATION OF STATE FOR REAL GASES 13.5 LAW OF EQUIPARTITION OF ENERGY 13.7 MEAN FREE PATH


CHAPTER FOURTEEN SIMPLE HARMONIC MOTION 14.3 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]

PARADISE INSTITUTE


HOW

TO CRACK


7

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

WAVES

15.1 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 WAVES Characteristics of Standing Waves [JEE Advanced-2015] 15.6 REFLECTION AND REFRACTION OF WAVES Standing 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]



PARADISE INSTITUTE


HOW

TO CRACK


8

CLASS XII CHAPTER 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

[JEE Advanced-2015]

1.9

Physical significance of electric field

Motion of a charged particle in an electric field

[JEE Advanced-2015]

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

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

CHAPTER TWO 2.1

2.3

ELECTROSTATIC POTENTIAL

[JEE Main-2015]

[JEE Advanced-2015]

AND

CAPACITANCE

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]

ELECTRIC POTENTIAL DUE TO A POINT CHARGE Electric Potential due to Continuous Charge Distribution

[JEE Main-2015]

Potential due to Some Standard Charge Configurations

PARADISE INSTITUTE


HOW

TO CRACK


9

2.5

POTENTIAL DUE TO A SYSTEM OF CHARGES

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 2.9

[JEE Main-2015]

POTENTIAL ENERGY IN AN EXTERNAL FIELD

[JEE Main-2015]

2.8.1

[JEE Main-2015]

Potential energy of a single charge

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 2.14.1

Capacitors in Series

2.14.2

Capacitors in Parallel

[JEE Advanced-2015] [JEE Advanced-2015]

Multiple Dielectric Capacitors; Series combination of dielectrics Two Laws in Capacitors

[JEE Advanced-2015]

2.15 ENERGY STORED IN A CAPACITOR

CHAPTER THREE 3.4

[JEE Main-2015] [JEE Advanced-2015]

CURRENT ELECTRICITY

OHM’S LAW


Dependence of the Resistance

[JEE Main-2015]

3.8

TEMPERATURE DEPENDENCE OF RESISTIVITY

[JEE Main-2015]

3.9

ELECTRICAL ENERGY, POWER

3.10 COMBINATION

OF

[JEE Advanced-2015]

RESISTORS–SERIES AND PARALLEL

Some Applications


3.11 CELLS, EMF AND INTERNAL RESISTANCE Relation among E, V and r 3.12 CELLS IN SERIES AND IN PARALLEL Parallel Grouping

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

3.13 KIRCHHOFF’S RULES

PARADISE INSTITUTE


HOW

TO CRACK


10

3.15 METER BRIDGE


3.16 POTENTIOMETER


3.17 GALVANOMETER

[JEE Main-2015]

3.20 RC CIRCUITS


CHAPTER FORTH 4.2

MOVING CHARGES

AND

MAGNETISM

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

4.5

MAGNETIC FIELD

4.6

Application of Biot-Savart law 4.6.1

DUE TO A


CURRENT ELEMENT, BIOT-SAVART LAW


Field due to a straight current-carrying wire [JEE Main-2015; JEE Advanced-2015]

4.6.2 Field due to a current loop (or its segment) at its centre [JEE Main-2015; JEE Advanced-2015] 4.6.3 4.7 4.8

Magnetic Field on the axis of a Circular Current Loop

[JEE Advanced-2015]

AMPERE’S CIRCUITAL LAW

[JEE Advanced-2015]

Magnetic field created by a long current carrying wire

[JEE Advanced-2015]

THE SOLENOID AND 4.8.1

THE

TOROID

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

CHAPTER SIX

ELECTROMAGNETIC INDUCTION

6.4

FARADAY’S LAWS

6.5

LENZ’S LAW AND CONSERVATION OF ENERGY

6.6

MOTIONAL ELECTROMOTIVE FORCE

OF

INDUCTION

[JEE Advanced-2015]

6.13 INDUCED ELECTRIC FIELD

PARADISE INSTITUTE

OF

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

6.11 GROWTH AND DECAY OF CURRENT IN L-R CIRCUIT 6.12 OSCILLATORY DISCHARGE

[JEE Advanced-2015]

L-C CIRCUIT

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


HOW

TO CRACK


11

CHAPTER SEVEN ALTERNATING CURRENT 7.5

AC VOLTAGE APPLIED

TO AN

CAPACITOR

Impedance 7.6

AC VOLTAGE APPLIED 7.6.3

7.9

[JEE Advanced-2015] TO A

SERIES LCR CIRCUIT

Resonance

[JEE Main-2015]

TRANSFORMERS

CHAPTER NINE 1.

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

RAY OPTICS

AND

OPTICAL INSTRUMENTS

REFLECTION AT PLANE SURFACE(S) Reflection at ideal plane mirror


Laws of reflection


Formation of image by two inclined mirrors 2.

[JEE Main-2015]

REFLECTION AT CURVED SURFACE Quantitative discussion for an axial point object

3.

[JEE Advanced-2015]

REFRACTION OF LIGHT AT PLANE SURFACE (S) Refractive index

[JEE Main-2015]

IInd Law (Snell's law)


Critical Angle of Incidence


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


4.

REFRACTION AT A SPHERICAL SURFACE Relation between position of object, image and centre of the spherical refracting 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 a Medium for an axial point object Magnification


Calculation of focal length of lens Compound Lens

PARADISE INSTITUTE

[JEE Advanced-2015] [JEE Main-2015] [JEE Advanced-2015]


HOW

7.

TO CRACK


12

Effect of Silvering A surface of a Thin spherical Lens

[JEE Main-2015]

EYE AND OPTICAL INSTRUMENTS Microscope

[JEE Main-2015]

Telescopes

[JEE Main-2015]

CHAPTER TEN WAVE OPTICS 10.4 COHERENT

AND

10.5 INTERFERENCE

INCOHERENT ADDITION

OF

LIGHT WAVES

AND

OF

WAVES

[JEE Advanced-2015]

YOUNG’S EXPERIMENT

[JEE Advanced-2015]

Young’s Double Slit Experiment (YDSE) Shifting of Fringe Pattern in YDSE 10.7

[JEE Advanced-2015]

Interference in reflected light

[JEE Main-2015]

P OLARISATION

[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] [JEE Advanced 2015]

11.3 PHOTOELECTRIC EFFECT 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 11.7

PARTICLE NATURE 11.7.1

OF

LIGHT : THE PHOTON

[JEE Advanced-2015]

Intensity of Light due to a Light Source

11.8 WAVE NATURE

OF

MATTER


11.9 DAVISSON-GERMER EXPERIMENT


CHAPTER 12.4 BOHR MODEL OF THE HYDROGEN ATOM th

Energy of electron in n Orbit

PARADISE INSTITUTE

[JEE Main-2015]

TWELVE

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


HOW

TO CRACK


12.5 THE LINE SPECTRUM OF THE HYDROGEN ATOM

13


12.6 de BROGLIE’S EXPLANATION OF BOHR’S SECOND POSTULATE OF QUANTISATION Effect of Nucleus motion on energy of atom

[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


13.4 MASS-ENERGY AND NUCLEAR BINDING ENERGY


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


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 14.10 DIGITAL ELECTRONICS

AND

[JEE Main-2015]

LOGIC GATES

14.10.1 Logic gates

[JEE Main-2015]



PARADISE INSTITUTE


HOW


TO CRACK

14

MATHEMATICS CHAPTER WISE IMPORTANT TOPIC FOR JEE Main & JEE Advanced-2015

CALCULUS 1. 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

1.3

RANGE OF A FUNCTION


1.4

ONE-ONE, ONTO, MANYONE FUNCTION


1.7

FINDING THE COMPOSITE FUNCTION

1.8

INVERSE FUNCTION

[JEE Main-2015]

1.9

GRAPH OF THE FUNCTION

[JEE Main-2015]

[JEE Main-2015]

[JEE Advanced-2015]

2. LIMIT 2.2

PRELIMINARY AND EXISTENCE OF LIMIT


Rationalisation or Double rationalisation Method [JEE Main-2015; JEE Advnaced-2015] 0 FORM 0

2.3

TRIGONOMETRIC LIMIT

2.5

LIMIT 1

2.8

L’ HOSPITAL RULE [Only JEE Main]

[JEE Main-2015]



[JEE Advanced-2015]

3. CONTINUITY 3.1

EXISTENCE OF LIMIT

3.2

CONTINUITY

83-84

OF

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

4. DIFFERENTIABILITY

OF

FUNCTION

4.1

DEFFINITION OF DIFFERENTIABILITY


4.2

CONTINUITY OF A DIFFERENTIABLE FUNCTION


4.3

DIFFERENTIABILITY OF A CONTINUOUS FUNCTION

PARADISE INSTITUTE

[JEE Advanced-2015]


HOW

4.4

TO CRACK


FUNCTIONAL RELATION

15


5. DIFFERENTIATION 5.1

DIFFERENTIAL CO-EFFICIENT OF ALGEBRIC FUNCTION

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]

[JEE Advanced-2015]

6. MAXIMA AND MINIMA 6.1

MAXIMUM AND MINIMUM VALUE OF A FUNCTION [JEE Main-2015; JEE Advnaced-2015]

6.2

FORMULAE OF GEOMETRY AND MENSURATION

6.3

INCREASING AND DECREASING FUNCTION (MONOTONOCITY)

[JEE Main-2015]

7. GEOMETRICAL MEANING OF dy/dx 7.1

SLOPE OF TANGENT


7.2

EQUATION OF TANGENT AND TANGENCY

7.5

FINDING x & y (CO ORDINATES OF THE POINT) IF SLOPE OF TANGENT IS GIVEN


8. PHYSICAL APPLICATIONS OF DERIVATIVES dy/dx AS A RATE MEASURE 8.1

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 OF

8.3

TWO VARIABLES ARE TO BE COMPARED

[JEE Main-2015]

INTERPRETATION OF dy/dx AS RATE MEASURE

[JEE Main-2015]

9. ROLLE’S THEOREM & LAGRANGE’S MEAN VALUE THEOREM 9.1

DIRECT APPLICATION OF ROLLE’S THEOREM AND LAGRANGE’S MEAN VALUE THEOREM

9.2

[JEE Main-2015]

FINDING C OF ROLLE’S THEOREM OR LAGRANGE’S MEAN VALUE THEOREM OR ON VERIFYING THESE THEOREMS

[JEE Advanced-2015]

10. INDEFINITE INTEGRATION 10.1

DIRECT FORMULAE

PARADISE INSTITUTE

[JEE Main-2015]


HOW

10.2

TO CRACK


16

INTEGRATION BY SUBSTITUTION a a

10.12

x ; xm a x


p

bx n dx


11. DEFINITE INTEGRATION 11.1

z

b

a

f( x)dx

z

c

z

f( x)dx

a

b

f( x)dx

c

where c, is a point inside or outside the interval [a, b]. In general form : If a < c1 < c2 < c3 < ...... < cn < b then

z z

b

a

11.2

f( x) dx

a

0

f( x)dx

(i)

11.3

z

a

–a

z

0

/2

z z

c1

a

f( x) dx

a

c2

c1

z

cosn xdx

z

/2

0

z

f( x) dx

z

f( a x)dx Or

0

f ( x)dx =2

z

b

a

c3

c2

f( x) dx ......

z

f( x)dx

sinn xdx ; (ii)

b

a

z

/2

0

z

b

cn

f( x) dx

f(a b x)dx Corollary :

z

lnsinxdx

/2

0

lncosxdx

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

f( x)dx or 0

0

According as f(x) is even or odd function of x. 11.4

z

2a

0

f( x)dx

z z

a

0

f( x)dx

z

0

f( 2a x)dx

0

If

R|2z S|0, T

a

0

f(a + x) = f(x), then

z

or, na f( x) dx 0

z

a

0

[JEE Advanced-2015]

a

Corollary : 2a f( x)dx

11.6

[JEE Advanced-2015]

f( x) dx

z

2a

a

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

z

na

0

f( x) dx

z

f( x)dx n

z

3a

2a

a

0

[JEE Advanced-2015]

f( x)dx

f( x) dx ....

z

na

(n 1)a

f( x) dx


PARADISE INSTITUTE


HOW

11.8

TO CRACK


17

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

z

b

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

f( x) dx (b a)

a

f(a) f(b) 2

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

f(a) f(b) interval [a, b], then (b a) 2

z

b

f( x) dx (b a) f(b)

[JEE Advanced-2015]

a

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

b a

f (x,

)dx, where r ( )

is the derivative of I () w.r.t.  and f’ (x, ) is the derivative of f(x, ) w.r.t. , keeping x constant.


11.13 NEWTON LEIBNITZ FORMULA Type 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

12. DEFINITE INTEGRATION 12.1


AS THE

LIMIT OF

SERIES OF THE LIMIT OF A SUM

A

SUM

[JEE Advanced-2015]

13. AREA 13.3

STRAIGHT LINE WITH PARABOLA


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 AND EXPONENTIAL FUNCTION


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]

PARADISE INSTITUTE


HOW

TO CRACK


18

13.14 FINDING THE AREA INCLUDED BETWEEN TWO CURVES AND TWO ORDINATES (OR TWO ABSCISSAE)

[JEE Advanced-2015]

14. DIFFERENTIAL EQUATION 14.2

FORMATION OF DIFFERENTIAL EQUATION


14.3

VARIABLE SEPARABLE FORM


14.5

EQUATION REDUCIBLE TO HOMOGENEOUS FORM

14.7

LINEAR EQUATION

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

14.11 ORTHOGONAL TRAJECTORY

[JEE Advanced-2015]

ALGEBRA 1. COMPLEX NUMBER 1.3

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

1.4

[JEE Main-2015]

PROBLEMS BASED ON ARGUMENT, MODULUS-ARGUMENT FORM OF A COMPLEX NUMBER, EXPONENTIAL AND LOGARITHM, TRIGONOMETRICAL RATIO AND INVERSE 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

1.7

[JEE Main-2015]

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 1.10.2 Application of Modulus, Conjugate and Argument 1.10.3 Straight Line

1.11

[JEE Main-2015] [JEE Advnaced-2015]

PROBLEMS BASED ON LOCUS

PARADISE INSTITUTE

46-49



HOW

TO CRACK


2. QUADRATIC EQUATION 2.2

19

AND

EXPRESSION

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 OF A 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

2.7

PROBLEMS BASED ON SIGN SCHEME

2.8

PROBLEMS BASED ON SOLUTION OF DIFFERENT TYPES OF EQUATIONS INVOLVING MODULUS, LOGARITHM, EXPONENTIAL AND GREATEST INTEGER FUNCTION

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

2.8.3 Logarithmic Equation

[JEE Advnaced-2015]

2.8.5 Exponential Equations 2.9


PROBLEMS BASED ON MAXIMUM AND MINIMUM VALUE OF ANY RATIONAL EXPRESSION

2.12

[JEE Advnaced-2015]

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

2.14

INEQUALITY 2.14.3 A.M.  G.M.  H.M.


3. SEQUENCE

AND SERIES

3.2

PROBLEMS BASED ON FORMULA TN = A + (N – 1) D

3.3

PROBLEMS BASED ON PROPERTIES OF A.P.

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

3.10

PROBLEMS BASED ON SUM OF N TERMS OF A G.P. 3.10.1 Sum of n terms of a G.P. 3.10.2 Arithmetico-geometric Progression (A.G.P)

3.12

[JEE Main-2015] [JEE Advnaced-2015] [JEE Main-2015]

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

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]

PARADISE INSTITUTE


HOW

3.16

TO CRACK


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

4. PERMUTATION 4.3

20

AND

COMBINATION

APPLICATION OF nPr Type B

Number of Permutation when repetition is allowed

Type D

Permutation of objects not all of which are distinct

[JEE Advanced-2015]

[JEE Main-2015; JEE Advnaced-2015] 4.6

APPLICATION OF nCr Type A Restricted Combination 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


5. BINOMIAL THEOREM 5.1

BINOMIAL EXPANSION WITH POSITIVE INTEGRAL INDEX

5.3

THE COEFFICIENT OF Xr IN THE BINOMIAL EXPANSION Type A Finding the coefficient of xr

[JEE Main-2015]


5.7

CONSECUTIVE COEFFICIENTS OR CONSECUTIVE TERMS

[JEE Main-2015]

5.8

DIVISIBILITY

[JEE Main-2015]

5.9

SUMMATION OF THE SERIES


Type F : Exponential Series 5.10

BINOMIAL EXPANSION WITH NEGATIVE INTEGER OR POSITIVE OR NEGATIVE FRACTION INDEX Type C

5.11

[JEE Main-2015]

The Coefficient of xr in The Binomial Expansion

EXPONENTIAL SERIES


6. PROBABILITY 5A.

BASIC CONCEPTS OF PROBABILITY THEORY


5B.

COMPOUND PROBABILITY


5C.

CONDITIONAL PROBABILITY


5D.

TOTAL PROBABILITY

PARADISE INSTITUTE

[JEE Advanced-2015]


HOW

TO CRACK


21

5E.

BAYES’S THEOREM


5F.

BINOMIAL PROBABILITY


5H.

BERNOULLI’S TRIAL

[JEE Main-2015]

7. DETERMINANT 7.1

THE VALUE OF DETERMINANT


7.2

PROPERTIES OF A DETERMINANT


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 HOMOGENEOUS SYSTEM OF LINEAR SEQUATIONS


8. MATRICES 8.1

DEFINITIONS OF TERMS RELATED TO MATRIX


8.3

PRODUCT OF MATRICES


8.4

TRANSPOSE OF A MATRIX


8.5

ADJOINT OF A MATRIX


8.6

INVERSE OF A MATRIX


8.7

SOLUTION OF SIMULTANEOUS LINEAR EQUATIONS

8.10

EIGEN VALUES OF THE MATRIX

[JEE Main-2015]


CO-ORDINATE GEOMETRY 1. CO-ORDINATES MODEL V

PROBLEMS BASED ON TO FIND THE CENTROID OR INCENTRE OF A TRIANGLE Type 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 x  y 1 [JEE Main-2015] a b

MODEL III

PROBLEMS BASED ON APPLYING THE STANDARD FORM

MODEL VII

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

PARADISE INSTITUTE


HOW

TO CRACK

MODEL IX


22

PROBLEMS BASED ON FAMILY OF STRAIGHT LINES WITH ONE 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. TRANSFORMATION [JEE Main-2015]

CHANGE OF AXES OR THE TRANSFORMATIONS OF AXES

5. CIRCLE MODEL 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

MODEL II

[JEE Main-2015]

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

MODEL VI

PROBLEMS BASED ON EQUATION OF TANGENT, CONDITION FOR TANGENCY AND THE POINT OF CONTACT : The condition for tangency

MODEL IX

[JEE Advnaced-2015] [JEE Advnaced-2015]

PROBLEMS BASED ON CHORD WHOSE MIDDLE POINT IS KNOWN xx1 + yy1 – a2 = x12 + y12 – 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 [JEE Main-2015; JEE Advnaced-2015]

6. PARABOLA MODEL I

PROBLEMS BASED ON FINDING THE EQUATION OF A PARABOLA FROM THE KNOWN PARTS The equation of a parabola when focus is the origin and axis of the parabola is the x-axis [JEE Advnaced-2015]

PARADISE INSTITUTE


HOW

TO CRACK

MODEL II


23

PROBLEMS BASED ON FINDING PARTS FROM THE EQUATION OF PARABOLA Type A

Vertex

[JEE Main-2015]

MODEL III

PROBLEMS BASED ON CONDITION OF TANGENCY

MODEL IV

PROBLEMS BASED ON EQUATION OF TANGENTS

[JEE Main-2015]

[JEE Main-2015; JEE Advnaced-2015] MODEL V

PROBLEMS BASED ON NORMAL AND NORMALCY

[JEE Advnaced-2015]

MODEL VI


[JEE Advnaced-2015]

MODEL VII

[JEE Advnaced-2015]

7. ELLIPSE MODEL I

PROBLEMS BASED ON FINDING THE EQUATION OF AN ELLIPSE FROM KNOWN PARTS General Equation of an ellipse (l2 + m2) {(x–a)2 + (y–b)2} = e2(lx + my + n)2 [JEE Main-2015]

MODEL II

MODEL III

PROBLEMS BASED ON FINDING PARTS FROM THE EQUATION OF AN ELLIPSE Type A

Focus

Type B

Directrix

Type D

Eccentricity

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

PROBLEMS BASED ON TANGENT AND TANGENCY The equation of the tangent at any point (x1, y1) on the ellipse

x2

xx yy y2   1 is 21  21  1 2 2 a b a b

[JEE Advnaced-2015]

x2

y2   1 may be taken The equation of any tangent to ellipse 2 a b2 MODEL IV

2 2 2 as y  mx  a m  b PROBLEMS BASED ON NORMAL AND NORMALCY

Type A

MODEL V

[JEE Advnaced-2015]

y2  1 a 2 b2 [JEE Advnaced-2015]

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

x2

[JEE Main-2015]


8. HYPERBOLA MODEL I

PROBLEMS BASED ON FINDING THE EQUATION OF A HYPERBOLA

PARADISE INSTITUTE


HOW

TO CRACK


24

FROM GIVEN PARTS General equation of a hyperbola MODEL II

PROBLEMS BASED ON FINDING PARTS FROM THE EQUATION OF A HYPERBOLA Type D

MODEL III


Latus rectum

[JEE Advnaced-2015]

PROBLEMS BASED ON TANGENT AND TANGENCY Type A

The equation of the tangent at any point (x1 , y1) on

the hyperbola

2 xx1 yy1 x2  y  1 is 2  2  1 2 2 a b a b

Line y = mx + C will be tangent to hyperbola

x2 y2  1 if C   a2m2  b 2 a2 b2

x2 y2 So equation of tangent to the hyperbola 2  2 1 is y = mx  a2m2  b 2 a b [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]

TRIGONOMETRY 2. TRIGONOMETRICAL FUNCTIONS 2.2

PROBLEMS BASED ON IDENTITY

4. TRIGONOMETRICAL RATIOS

OF

COMPOUND ANGLES

PROBLEMS BASED ON CONDITION

4.5

PROBLEMS BASED ON REDUCTION OF EXPRESSION

6.1

[JEE Main-2015]

OF

[JEE Advnaced-2015]

MULTIPLE ANGLES

TRIGONOMETRICAL RATIOS OF MULTIPLE ANGLES

PARADISE INSTITUTE

ANGLES


4.3

6. TRIGONOMETRICAL RATIOS

OF

[JEE Main-2015]


HOW

TO CRACK


25

8. TRIGONOMETRICAL IDENTITIES 8.4

MISCELLANEOUS PROBLEMS

[JEE Main-2015]

9. TRIGONOMETRIC EQUATIONS 9.1

AND THEIR

GENERAL SOLUTIONS

If sin  = sin  or cosec  = cosec  then  = n + (–1)n , n  I(set of all integers)

9.4

[JEE Main-2015]

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

9.5


[JEE Advnaced-2015]

10. INVERSE TRIGONOMETRICAL FUNCTIONS 10.1

PROBLEMS BASED ON PRELIMINARIES

10.4


[JEE Advnaced-2015]

11. PROPERTIES 11.1

PROBLEMS BASED ON

11.3

PROBLEMS BASED ON

[JEE Main-2015]

OF

TRIANGLES

a b c    2R sin A sin B sin C

[JEE Main-2015]

a = b cos C + c cos B; b = c cos A + a cos C, c = a cos B + b cos A 11.4

[JEE Advnaced-2015]

PROBLEMS BASED ON AREA BASE 11.4.1 Area of the  ABC

[JEE Advnaced-2015]

11.6


[JEE Main-2015]

11.9



VECTOR 10.4

Addition of Vectors


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 10.6.1 Scalar (or dot) product of two vectors

PARADISE INSTITUTE



HOW

TO CRACK


10.6.2 Projection of a vector on a line

26


10.6.2.1 Use of dot product for angle between two vectors 10.6.3 Vector (or cross) product of two vectors


10.7.1 Scalar triple product of three vectors


10.7.2 Vector triple product of three vectors


11.

THREE DIMENSIONAL GEOMETRY

11.2

Direction Cosine and Direction Ratios of a Line

11.3

Equation of a Line in Space

[JEE Main-2015]

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 11.4

Angle between Two Lines 11.4.1 Perpendicular distance of a point from a line

11.5

[JEE Main-2015]

Shortest Distance between Two Lines Condition for lines to intersect

11.6

[JEE Main-2015]


The Plane 11.6.2 Equation of a perpendicular to a given vector and passing through a 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


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]



PARADISE INSTITUTE


HOW

TO CRACK


27

CHEMISTRY CLASS XI CHAPTER WISE IMPORTANT TOPIC FOR JEE Main & JEE Advanced - 2015

PHYSICAL CHEMISTRY UNIT 1 SOME BASIC CONCEPTS 1.8

MOLE CONCEPT AND MOLAR MASSES

1.9

PERCENTAGE COMPOSITION 1.9.1

OF

CHEMISTRY [JEE Main-2015] [JEE Advanced-2015]

Empirical Formulae for Molecular formulae

[JEE Main-2015]

1.10 STOICHIOMETRY AND STOICHIOMETRIC CALCULATIONS 1.10.2

[JEE Advanced-2015]

Reactions in Solutions Molarity


Molality

[JEE Main-2015]

UNIT 2 STRUCTURE OF ATOM 2.4

BOHR’S MODEL FOR HYDROGEN ATOM


Kinetic Energy

2.5

2.6

[JEE Advanced-2015]

Ionization Energy

[JEE Main-2015]

2.4.1

[JEE Main-2015]

Explanation of Line Spectrum of Hydrogen

TOWARDS QUANTUM MECHANICAL MODEL OF THE ATOM 2.5.1

Dual Behaviour of Matter

2.5.2

Heisenberg’s Uncertainty Principle

QUANTUM MECHANICAL MODEL OF ATOM Hydrogen Atom and the Schrodinger Equation 2.6.1

Orbitals and Quantum Numbers

PARADISE INSTITUTE

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


HOW

TO CRACK


28

UNIT 3 CLASSIFICATION OF ELEMENTS PERIODICITY IN PROPERTIES 3.6

ELECTRONIC CONFIGURATIONS AND TYPES OF ELEMENTS : s-, p-, d-, f- BLOCKS 3.6.3

3.7

AND

The d-Block Elements (Transition Elements)

[JEE Main-2015]

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 4.1

4.4

MOLECULAR STRUCTURE

KÖSSEL-LEWIS APPROACH TO CHEMICAL BONDING 4.1.2

4.3

AND

Covalent Bond


BOND PARAMETERS 4.3.3

Bond Enthalpy

4.3.4

Bond Order


THE VALENCE SHELL ELECTRON PAIR REPULSION (VSEPR) THEORY [JEE Main-2015; JEE Advanced-2015]

4.5 4.6

VALENCE BOND THEORY

[JEE Main-2015]

4.5.1

[JEE Main-2015]

HYBRIDIZATION 4.6.1

4.7

Orbital Overlap Concept Types of Hybridisation


MOLECULAR ORBITAL THEORY (HUND-MULLIKEN) 4 .7 . 2

Conditions for the Combination of Atomic Orbitals

PARADISE INSTITUTE

[JEE Advanced-2015]


HOW

TO CRACK

4.7.5


29

Electronic Configuration and Molecular Behaviour [JEE Main-2015; JEE Advanced-2015]

UNIT 5 STATES OF MATTER 5.5

GAS LAWS 5.5.1

Boyle's Law (Pressure - Volume Relationship) (1662)

[JEE Advanced-2015]

5.7

KINETIC MOLECULAR MODEL OF GAS


5.8

BEHAVIOUR OF REAL GASES : DEVIATION FROM IDEAL GAS BEHAVIOUR [JEE Main-2015; JEE Advanced-2015]

UNIT 6 THERMODYNAMICS 6.2

APPLICATIONS 6.2.1

6.4

[JEE Advanced-2015]

Work

[JEE Main-2015]

ENTHALPY CHANGE,  rH OF A REACTION-REACTION ENTHALPY Enthalpy changes during phase transformations

[JEE Advanced-2015]

Standard Enthalpy of formation 6.5

[JEE Main-2015]

ENTHALPIES FOR DIFFERENT TYPES OF REACTIONS Standard enthalpy of combustion (symbol c H o ) [JEE Main-2015; JEE Advanced-2015] Bond Enthalpy (Symbol :  bond H o )

[JEE Main-2015]

Enthalpy of solution (symbol :  sol H o )


6.6

SPONTANEITY


6.7

GIBBS ENERGY CHANGE AND EQUILIBRIUM


UNIT 7 EQUILIBRIUM 7.3

LAW OF CHEMICAL EQUILIBRIUM AND EQUILIBRIUM CONSTANT

7.4

HOMOGENEOUS EQUILIBRIA 7.4.1

[JEE Main-2015]


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]

PARADISE INSTITUTE


HOW

7.9

TO CRACK


30

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


7.13.2

Common Ion Effect on Solubility on Ionic Salts

[JEE Main-2015]

U NIT 8 REDOX R EACTIONS 8.3

OXIDATION NUMBER 8.3.2


Balancing Redox Reactions

[JEE Main-2015]

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31

CLASS XII CHAPTER WISE IMPORTANT TOPIC FOR JEE Main & JEE Advanced - 2015

PHYSICAL CHEMISTRY UNIT 1 THE SOLID STATE 1.3

CLASSIFICATION 1.3.4

1.4

1. 6

NUMBER

C RYSTALLINE SOLIDS

Covalent or Network Solids

CRYSTAL LATTICES 1.4.1

1.5

OF

AND

[JEE Main-2015]

UNIT C ELLS

Primitive and Centred Unit Cell OF

[JEE Advanced-2015]

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]

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 1.7.1

[JEE Main-2015]

Packing Efficiency in hcp and ccp Structures [JEE Main-2015; JEE Advanced-2015]

1.8

CALCULATIONS INVOLVING UNIT CELL DIMENSIONS

1.9

IMPERFECTIONS IN SOLIDS 1.9.1

Types of Point Defects


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]

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2.3.2 2.4


32

Solubility of a gas in a Liquid

[JEE Advanced-2015]

2.3.2.1 Effect of Temperature

[JEE Advanced-2015]

VAPOUR PRESSURE OF LIQUID SOLUTIONS 2.4.1 Vapour Pressure of Liquid-Liquid Solutions

2.5

2.6

[JEE Main-2015]

IDEAL AND NON-IDEAL SOLUTIONS 2.5.1

Ideal Solution

2.5.2

Non-ideal Solutions


COLLIGATIVE PROPERTIES AND DETERMINATION OF MOLAR MASS 2.6.1

Relative Lowering of Vapour Pressure

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]


2.6.3.1 Raoult's Law of Freezing Point Depression [JEE Main-2015; JEE Advanced-2015] 2.6.4

2.7

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]

ABNORMAL MOLAR MASSES


UNIT 3 ELECTROCHEMISTRY 3.1

ELECTROCHEMICAL CELLS


3.3

NERNST EQUATION


3.3.2

Electrochemical Cell and Gibbs Energy of the Reaction [JEE Main-2015; JEE Advanced-2015]

3.4

CONDUCTANCE OF ELECTROLYTIC SOLUTIONS 3.4.2

[JEE Advanced-2015]

Variation of Conductivity and Molar Conductivity with Concentration [JEE Advanced-2015]

3.5

ELECTROLYTIC CELLS AND ELECTROLYSIS

3.7

FUEL CELLS

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33

UNIT 4 CHEMICAL KINETICS 4.1

RATE OF A CHEMICAL REACTION

4.2

FACTORS INFLUENCING RATE OF A REACTION 4.2.3

4.3

4.5

[JEE Main-2015]

Order of a Reaction


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


TEMPERATURE DEPENDENCE OF THE RATE OF A REACTION [JEE Main-2015; JEE Advanced-2015]

4.6

COLLISION THEORY OF CHEMICAL REACTIONS

U NIT 5 5.1

SURFACE C HEMISTRY

ADSORPTION 5.1.4

5.4

[JEE Advanced-2015]

Adsorption Isotherms


CLASSIFICATION OF COLLOIDS 5.4.2


Classification Based on Nature of Interaction between Dispersed Phase and Dispersion Medium

[JEE Advanced-2015]

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34

CLASS XI CHAPTER WISE IMPORTANT TOPIC FOR JEE Main & JEE Advanced - 2015

ORGANIC CHEMISTRY UNIT 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 12.6.1

[JEE Advanced-2015]

Structural or Constitutional Isomerism

[JEE Advanced-2015]

Chain or Skeleton or Nuclear Isomerism

[JEE Advanced-2015]

Ring chain isomerism

[JEE Advanced-2015]

Tautomerism


Structural requirement for tautomerism


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Stereo or Configurational or Space Isomerism Geometrical isomerism


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 MECHANISM 12.7.5 Inductive effect Stability of Alkyl Carbocation 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 12.7.8

Electromeric Effect (E effect) Aromaticity or Aromatic Character

[JEE Advanced-2015]

Reaction Intermediate

[JEE Advanced-2015]

Carbocation or Carbonium Ion 12.7.8

[JEE Main-2015]


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


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]

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36

UNIT 13 HYDROCARBONS 13.2 ALKANES 13.2.2

Preparation

13.2.3

Properties


Chemical properties

[JEE Advanced-2015]

Halogenation


13.3 ALKENES 13.3.5

Properties


Structure and structure base properties Chemical properties


Oxidation

[JEE Main-2015]

Ozonolysis

[JEE Main-2015]

13.4 ALKYNES 13.4.3

General Method of preparation

13.4.4

Properties

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

Chemical properties


Acidic nature of alkynes

[JEE Main-2015]

13.5 AROMATIC HYDROCARBONS 13.5.3

Aromaticity

13.5.4

Preparation

[JEE Advanced-2015]

Chemical properties 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]

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37


ORGANIC CHEMISTRY UNIT 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) From Alkenes

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


Reaction with silver nitrite

[JEE Main-2015]

Mechanisms of nucleophilic substitution reactions [JEE Main-2015; JEE Advanced-2015] Stereochemical aspect of nucleophilic substitution reactions [JEE Advanced-2015] SN2 vs SN1


Elimination Reactions

[JEE Advanced-2015]

Orientation in an elimination reaction

[JEE Advanced-2015]

Reaction with Metals

[JEE Main-2015]

Haloarenes Halogenation

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From diazonium salts

38


Physical properties 10.6.2

[JEE Advanced-2015]

Reactions of Haloarenes Nucleophilic substitution


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 [JEE Main-2015; JEE Advanced-2015] From Grignard Reagents 11.4.3

Physical Properties of Alcohols Boiling Point

11.4.4


Chemical Properties of Alcohols Reactions due to Fission of O–H bond Reaction with Grignard Reagent Reactions of Alcohols Involving C–O Bond Cleavage

PARADISE INSTITUTE

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HOW

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39

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

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


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

PARADISE INSTITUTE

[JEE Main-2015]


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40

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


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


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


Uses of Aldehydes and Ketones

[JEE Main-2015]

The common and IUPAC names of some carboxylic acids

[JEE Main-2015]

Methods of Preparation


By the oxidation of alkylbenzenes (Side-chain oxidation) By the hydrolysis of nitriles and amides

[JEE Main-2015]


From Grignard reagents

[JEE Advanced-2015]

Physical Properties of Monocarboxylic Acids

[JEE Advanced-2015]

Strength of Carboxylic Acids


Chemical Properties

[JEE Advanced-2015]

Reactions Involving Cleavage of the O–H bond

[JEE Advanced-2015]

Substitution Reactions in the Hydrocarbon Part Electrophilic Substitution Reactions of Benzoic Acid

PARADISE INSTITUTE

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


HOW

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UNIT 27

41

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


From alkyl cyanides (alkyl nitriles)

[JEE Main-2015]

From acid amides

[JEE Main-2015]

From the Hoffmann Bromoamide Degradation Reaction PHYSICAL PROPERTIES


Boiling Point


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


Nitration


Sulphonation

[JEE Advanced-2015]

BENZENEDIAZONIUM SALTS

[JEE Advanced-2015]

Preparation

[JEE Advanced-2015]

Substitution of the Diazonium Group Coupling reaction

PARADISE INSTITUTE

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


HOW

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UNIT 14

42

BIOMOLECULES

CLASSIFICATION AND NOMENCLATURE


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]

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43

CLASS XI CHAPTER WISE IMPORTANT TOPIC FOR JEE Main & JEE Advanced - 2015

INORGANIC CHEMISTRY UNIT 9 HYDROGEN 9.3

PREPARATION OF DIHYDROGEN, H2 9.3.2

9.6

Commercial Production of Dihydrogen

[JEE Main-2015]

WATER 9.6.7

Permanent Hardness

[JEE Advanced-2015]

UNIT 10 THE s-BLOCK E LEMENTS 10.1 GROUP 1 ELEMENTS : ALKALI METALS


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 & C LASS XII UNIT 21 THE p-BLOCK E LEMENTS 11.3 SOME IMPORTANT COMPOUNDS OF BORON

[JEE Main-2015]

11.7 ALLOTROPES OF CARBON 11.7.3

Fullurenes

[JEE Advanced-2015]

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44


INORGANIC CHEMISTRY CLASS XII : UNIT 7 : THE p-BLOCK E LEMENTS 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]

XeO 3

[JEE Main-2015]

UNIT 6 : GENERAL PRINCIPLES ISOLATION 6.1

OCCURRENCE OF METALS

6.2

CONCENTRATION OF ORES

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6.2.5

Extraction of metal from concentrated ore

6.2.6

Purification or refining of crude metals

45

[JEE Main-2015]

Metallurgy 6.3

[JEE Advanced-2015]

EXTRACTION OF CRUDE METAL FROM CONCENTRATED ORE [JEE Main-2015; JEE Advanced-2015]

UNIT 8 : THE d & f-BLOCK ELEMENTS 8.3

8.4

GENERAL PROPERTIES OF THE TRANSITION ELEMENTS (d-BLOCK) 8.3.4

Oxidation States

[JEE Main-2015]

8.3.9

Magnetic Properties

[JEE Main-2015]

SOME IMPORTANT COMPOUNDS OF TRANSITION ELEMENTS KMnO4

8.5

[JEE Advanced-2015]

THE LANTHANOIDS

[JEE Main-2015]

UNIT 9 : C OORDINATION COMPOUNDS 9.2

DEFINITIONS OF SOME IMPORTANT TERMS PERTAINING TO COORDINATION COMPOUNDS Ligands

[JEE Advanced-2015]

Co-ordination number 9.3

NOMENCLATURE OF COORDINATION COMPOUNDS 9.3.2

9.4

9.5

[JEE Main-2015]

Naming of Mononuclear Coordination Compounds

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

9.4.7

Ligand Isomerism


BONDING IN COORDINATION COMPOUNDS

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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.)

9.5.5

Colour in Coordination Compounds

46

[JEE main-2015] [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 2+

2+

3+

Group IIA (Hg , Cu , Bi ) 3+

3+

[JEE Advanced-2015]

3+

Group IIIA (Fe , Cr , Al ) 2+

[JEE Advanced-2015]

+2

Group III B (Mn , Zn )

[JEE Advanced-2015]

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Chapterwise Important Topics for JEE Main JEE Advanced 2015

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