JEE — System Analyzer

Joint Entrance Examination

JEE SYSTEM
ANALYZER

Select a subject to begin analysis

// 01

⚡

Physics

4 interconnected systems.
Mechanics is the king.

40–45%

Mechanics alone

16 units4 systems5 ★ units

→

// 02

⚗️

Chemistry

3 branches, 20 units.
Organic carries the weight.

35–40%

Organic chemistry

20 units3 branches6 ★ units

→

// 03

∑

Mathematics

4 pillars, 16 units.
Calculus dominates.

35–40%

Calculus weight

16 units4 pillars5 ★ units

→

⚡ PHYS

// SYSTEM ANALYSIS — PHYSICS

4 Systems.
1 Rank.

Physics is not 20 chapters — it's 4 interconnected systems. Mechanics + Electrodynamics = 75% paper power.

Root Systems

Star Units

75%

Mech + Electro

40–45%

Mechanics Alone

Overview

System Map

System 01 — Mechanics

Kinematics6%

Newton's Laws ★9%

WEP7%

Rotation ★★★11%

Gravitation4%

Fluid + Solids5.5%

System 02 — Thermo

Thermodynamics6.5%

Kinetic Theory4%

System 03 — Electro

Electrostatics ★11%

Current Electricity ★7%

Magnetism7%

EMI + AC ★9%

System 04 — Modern

Optics ★11%

Modern Physics6%

SYS 01

42%

Mechanics

SYS 02

11%

Thermo + KT

SYS 03

32%

Electrodynamics

SYS 04

17%

Modern + Optics

Mechanics — Units

Weight Distribution

Priority Tiers

Top

Rotation
Electrostatics
Current Elec.
EMI + AC
Optics

Mid

Newton's Laws
WEP
Thermo
Magnetism

Low

KTG
Gravitation
Modern

Chapter Linkages

Rotation

⊕

WEP

Advanced

Electrostatics

⊕

Capacitor Energy

Combo

EMI

⊕

AC Circuits

Chain

Ray Optics

⊕

Wave Optics

Mixed

Newton's Laws

⊕

Rotation

Core

Depth Rule

Type	Mode	Level
Rotation, Electrostatics	Multi-concept chain	High
Newton, WEP, Optics	Concept + numericals	Medium
Gravitation, KTG	Formula + direct	Low

System Weightage — Bar Chart

Hard Truth

Mechanics + Electrodynamics = 75% paper power

If weak in Rotation → rank drops severely

Solve 40–60 problems per chapter minimum

Only watching lectures = wasting time

JEE Advanced = mixed chapters, not isolated

⚗️ CHEM

// SYSTEM ANALYSIS — CHEMISTRY

3 Branches.
Organic Rules.

Chemistry = 3 branches, 20 units. Organic carries 35–40%. GOC + Mechanism = rank decider.

Total Units

Star Units

~100%

Full Syllabus

35–40%

Organic Wt.

Overview

Branch Map

Physical Chemistry

Mole Concept9%

Atomic Structure6%

Thermodynamics9%

Equilibrium ★11%

Electrochemistry9%

Kinetics7%

Solutions5.5%

Inorganic Chemistry

Chemical Bonding ★11%

Periodic Table5.5%

p-Block11%

d & f Block6%

Coordination ★9%

Organic Chemistry

GOC ★11%

Mechanism ★★★16%

Hydrocarbons9%

Functional Groups ★22%

Amines5.5%

Biomolecules3.5%

BRANCH 01

32%

Physical

BRANCH 02

28%

Inorganic

BRANCH 03

38%

Organic

Physical — Units

Branch Distribution

Priority Tiers

Top

GOC
Mechanism
Equilibrium
Bonding
Coordination
Ald/Ket

Mid

Thermo
Electrochem
Mole Concept
Alcohols
Hydrocarbons

Low

Atomic Struct.
Biomolecules
p-Block parts

Key Formulas

Moles

n = w / M

Ideal Gas

PV = nRT

Gibbs

ΔG = ΔH - TΔS

Gibbs-K

ΔG = -RT ln K

pH = -log[H⁺]

Henderson

pH = pKa + log(S/A)

Nernst

E = E° - (0.059/n)logQ

Half-life

t½ = 0.693 / k

Arrhenius

k = A·e^(-Ea/RT)

Osmotic P

π = iMRT

Bond Order

BO = (Nb - Na) / 2

Unit Weightage

∑ MATH

// SYSTEM ANALYSIS — MATHEMATICS

4 Pillars.
Calculus Wins.

Maths is not theory — it's pattern recognition + problem exposure. Calculus + Algebra = 70% paper done.

Pillars

Star Units

38%

Calculus Weight

70%

Calc + Algebra

Overview

Pillar Map

Pillar 01 — Calculus

Integration ★★★12%

App. of Derivatives ★9%

Differentiation8%

Limits & Continuity6%

Differential Eq.4%

Pillar 02 — Algebra

Complex Numbers ★9%

PnC ★8%

Matrices & Det.7%

Sequence & Series7%

Binomial Theorem4%

Pillar 03 — Coord. Geometry

Conic Sections ★★11%

Straight Lines6%

Circle5%

Pillar 04 — Vec/3D/Prob

Probability6%

Vectors4%

3D Geometry5%

PILLAR 01

38%

Calculus

PILLAR 02

32%

Algebra

PILLAR 03

22%

Coord. Geometry

PILLAR 04

12%

Vec / 3D / Prob

Calculus — Units

Pillar Distribution

Priority Tiers

Top

Integration
AOD
Conics
Complex No.
PnC

Mid

Matrices
Sequence
Straight Line
Probability
Limits

Low

Binomial
3D Geometry
Vectors

Key Formulas

∫xⁿ dx

xⁿ⁺¹/(n+1) + C

IBP

∫u dv = uv − ∫v du

Def. Integral Prop

∫₀ᵃ f(x)dx = ∫₀ᵃ f(a−x)dx

d/dx(xⁿ)

nxⁿ⁻¹

Chain Rule

f'(g(x))·g'(x)

lim sin x/x

→ 1 as x→0

Euler Number

(1+1/x)ˣ → e as x→∞

Complex |z|

√(a²+b²)

De Moivre

(cosθ+i sinθ)ⁿ = cos nθ+i sin nθ

ⁿPᵣ

n!/(n−r)!

ⁿCᵣ

n!/[r!(n−r)!]

AP Sum Sₙ

n/2·[2a+(n−1)d]

GP Sum S∞

a/(1−r), |r|<1

A⁻¹

adj(A)/det(A)

Parabola

y² = 4ax

Ellipse

x²/a² + y²/b² = 1

Hyperbola

x²/a² − y²/b² = 1

Bayes' Theorem

P(B|Aᵢ)P(Aᵢ)/ΣP(B|Aⱼ)P(Aⱼ)

Dot Product

a·b = |a||b|cosθ

Σn

n(n+1)/2

Σn²

n(n+1)(2n+1)/6

Unit Weightage

Topic Linkages

AOD

⊕

Coordinate Geometry

Advanced

Integration

⊕

Area + Functions

Combo

Complex Numbers

⊕

Geometry

Chain

PnC

⊕

Probability

Mixed

Matrices

⊕

3D Geometry

Core

Depth Rule

Type	Mode	Level
Calculus core, PnC	Multi-step problems	Very High
Algebra, Coord. Geo.	Visualization + practice	Medium-High
Vectors, 3D, Binomial	Formula + PYQ	Low

Hard Truth — Mathematics

Maths is NOT about theory → it's about problem exposure

If you solve <50 questions per chapter → you're underprepared

Calculus + Algebra → 70% paper done

Add Geometry → 85% done. Add Vector/3D → near full

JEE Advanced NEVER asks isolated questions — linking chapters = rank