JEE Main Complete Study Guide: Physics, Chemistry & Mathematics

JEE Main (NTA) is India's national engineering entrance exam covering Physics, Chemistry, and Mathematics. This guide maps subject weightage, high-yield topics, pacing, and practice quizzes so you can see what still costs marks under the clock.

Understanding JEE Main#

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Subject-wise Weightage#

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Physics: Strategy & Key Concepts#

Physics in JEE Main tests both conceptual understanding and numerical problem-solving. The key is understanding the underlying principles rather than memorizing formulas.

Topic-wise Breakdown#

Key Formulas You Must Know#

Mechanics:

• Projectile Motion: Range R = v₀²sin(2θ)/g, Max height H = v₀²sin²θ/(2g)
• Rotational KE: KE = ½Iω², where I depends on the shape
• Conservation of Angular Momentum: Iω = constant (when τ_ext = 0)

Electromagnetism:

• Electric field of point charge: E = kQ/r²
• Magnetic force on current: F = BIL sinθ
• Faraday's Law: ε = −dΦ/dt

Modern Physics:

• Photoelectric equation: hν = φ + KE_max
• de Broglie wavelength: λ = h/p = h/(mv)
• Bohr's model: rₙ = n²a₀/Z, Eₙ = −13.6Z²/n² eV

Physics Problem-Solving Strategy#

1. Draw a diagram — Visualize forces, fields, and motion
2. Identify the concept — Is it conservation law? Newton's law? Wave property?
3. Write relevant equations — Choose the right formula for the situation
4. Check units — Dimensional analysis catches many errors
5. Verify limiting cases — Does your answer make sense for extreme values?

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Chemistry: Strategy & Key Concepts#

Chemistry in JEE Main is often considered the scoring subject if prepared well. It has a good balance of theory (especially Inorganic) and numerical problems (Physical Chemistry).

Topic-wise Breakdown#

Physical Chemistry Essentials#

Equilibrium:

• For aA + bB ⇌ cC + dD: Kc = [C]^c[D]^d / [A]^a[B]^b
• Relationship: Kp = Kc(RT)^Δn where Δn = (c+d) − (a+b)
• Le Chatelier's Principle: System opposes the change

Electrochemistry:

• Nernst Equation: E = E° − (0.059/n)log Q at 298 K
• Faraday's Laws: m = ZIt = (M × I × t)/(n × F)
• Cell potential: E°cell = E°cathode − E°anode

Chemical Kinetics:

• First order: t₁/₂ = 0.693/k, [A] = [A]₀e^(−kt)
• Arrhenius equation: k = Ae^(−Ea/RT)
• Order from data: Compare rate changes when concentrations change

Organic Chemistry Essentials#

Must-Know Reaction Types:

Key Named Reactions:

• Aldol Condensation, Cannizzaro, Clemmensen Reduction
• Friedel-Crafts (Alkylation/Acylation), Grignard Reactions
• Sandmeyer Reaction, Hoffmann Bromamide Degradation

Inorganic Chemistry Essentials#

Periodic Trends:

• Atomic radius: ↓ in group, → in period (decreases)
• Ionization energy: opposite trend to atomic radius
• Electronegativity: F > O > N > Cl (Pauling scale)

Coordination Compounds:

• IUPAC naming: Ligands (alphabetical) → Metal → Oxidation state
• Isomerism: Geometric, Optical, Ionization, Linkage
• Crystal Field Theory: Δ₀ (octahedral) > Δₜ (tetrahedral)

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Mathematics: Strategy & Key Concepts#

Mathematics often determines the rank difference among top scorers. It requires both conceptual clarity and computational speed.

Topic-wise Breakdown#

Calculus Essentials#

Key Integration Formulas:

• ∫dx/(x² + a²) = (1/a)tan⁻¹(x/a) + C
• ∫dx/√(a² − x²) = sin⁻¹(x/a) + C
• ∫eˣ[f(x) + f'(x)]dx = eˣf(x) + C

Definite Integral Properties:

• ∫₀ᵃ f(x)dx = ∫₀ᵃ f(a−x)dx (King's Property)
• For odd function f(−x) = −f(x): ∫₋ₐᵃ f(x)dx = 0
• For even function f(−x) = f(x): ∫₋ₐᵃ f(x)dx = 2∫₀ᵃ f(x)dx

Algebra Essentials#

Complex Numbers:

• |z₁ + z₂|² + |z₁ − z₂|² = 2(|z₁|² + |z₂|²)
• Rotation: z' = ze^(iθ) rotates z by angle θ
• Roots of unity: zⁿ = 1 has n roots: e^(2πik/n) for k = 0, 1, ..., n−1

Matrices & Determinants:

• (AB)⁻¹ = B⁻¹A⁻¹
• det(AB) = det(A) × det(B)
• Cayley-Hamilton: Every matrix satisfies its characteristic equation

Coordinate Geometry Essentials#

Conic Sections - Standard Forms:

Key Properties:

• Parabola: Focus (a, 0), Directrix x = −a, Latus Rectum = 4a
• Ellipse: Foci (±ae, 0), Latus Rectum = 2b²/a, b² = a²(1 − e²)
• Hyperbola: Foci (±ae, 0), Asymptotes y = ±(b/a)x

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Time Management Strategy#

With 180 minutes for 75 questions, you have approximately 2.4 minutes per question. Here's how to optimize:

Recommended Time Split#

Golden Rules#

1. Don't get stuck: Skip after 3-4 minutes and return later
2. Attempt all you know: +4 for correct easily offsets −1 for wrong
3. Easy questions first: Secure marks before tackling hard problems
4. Read carefully: JEE loves to hide information in the problem statement

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Common Mistakes to Avoid#

Physics#

• Forgetting to convert units (cm to m, g to kg)
• Sign errors in vector problems
• Applying formulas without checking validity conditions
• Ignoring direction in momentum/impulse problems

Chemistry#

• Confusing reaction conditions (aqueous vs alcoholic KOH)
• Miscounting electrons in hybridization
• Using wrong formula for equilibrium (Kp vs Kc)
• Ignoring stereochemistry in organic reactions

Mathematics#

• Calculation errors in complex arithmetic
• Forgetting "+C" is not tested, but domain restrictions are
• Not checking all cases in modulus/greatest integer problems
• Using wrong formula for permutation vs combination

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8-Week Study Plan#

Weeks 1-2: Foundation Building#

• Review NCERT thoroughly for all three subjects
• Make formula sheets for quick revision
• Solve NCERT exemplar problems
• Target: Complete basic concepts

Weeks 3-4: Advanced Problem Solving#

• Solve previous year JEE Main questions topic-wise
• Focus on weak areas identified in practice
• Time yourself on individual problems
• Target: 60% accuracy in moderate-difficulty problems

Weeks 5-6: Mock Test Phase#

• Take 2-3 full-length mock tests per week
• Analyze every wrong answer thoroughly
• Identify time-sink questions to skip
• Target: Complete tests within time, 70%+ accuracy

Weeks 7-8: Revision & Fine-tuning#

• Revise formula sheets and short notes
• Focus on high-weightage topics
• Light practice to maintain sharpness
• Avoid starting new topics
• Target: Peak performance on exam day

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Know your range before test day#

Subject weightage and formulas are only half the game. Sit a short diagnostic, then practice free on the topics that still cost marks under the clock.

• Timed diagnostic with domain-level breakdown
• Clear signal on what to drill next
• Practice free; timed sittings and readiness range on Pro

Take the free JEE Main diagnostic →

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Next step: Start practicing free on the JEE Main hub, or sit a short diagnostic first.