Important Formulas You Must Memorize for JEE Main & Advanced

Introduction

JEE Main and JEE Advanced are among the toughest engineering entrance exams in India, where success depends on conceptual clarity, speed, and accuracy. One of the most critical aspects of JEE preparation is memorizing important formulas.

Formulas in Physics, Chemistry, and Mathematics serve as the foundation for solving numerical problems quickly and accurately. A well-organized formula sheet can help students revise efficiently, improve problem-solving speed, and reduce errors.

In this guide, we will cover the most important formulas for JEE Main and Advanced, along with tips to memorize and apply them effectively.

1. Why Memorizing Formulas is Crucial for JEE

Benefits of Learning Formulas for JEE Main & Advanced

✔ Saves Time – Direct application of formulas reduces problem-solving time.
✔ Improves Accuracy – Avoids unnecessary calculations and reduces silly mistakes.
✔ Boosts Confidence – Increases speed in exams by eliminating conceptual doubts.
✔ Essential for Quick Revision – Helps retain critical concepts before the exam.

Instead of memorizing formulas blindly, toppers focus on understanding their derivations and applications. This method ensures better retention and practical usage during the exam.

2. Physics Formulas for JEE Main & Advanced

Physics in JEE Main and JEE Advanced requires strong conceptual understanding and formula application. Below are the highly important formulas from Mechanics, Electromagnetism, Optics, and Modern Physics.

Mechanics

• Newton’s Second Law: F=maF = maF=ma
• Work-Energy Theorem: W=ΔKE=12mv2−12mu2W = \Delta KE = \frac{1}{2} m v^2 - \frac{1}{2} m u^2W=ΔKE=21​mv2−21​mu2
• Power Formula: P=F⋅vP = F \cdot vP=F⋅v
• Momentum: p=mvp = mvp=mv
• Rotational Motion: τ=Iα\tau = I \alphaτ=Iα, where τ\tauτ is torque and III is moment of inertia

Electromagnetism

• Coulomb’s Law: F=kq1q2r2F = \frac{k q_1 q_2}{r^2}F=r2kq1​q2​​
• Gauss’s Law: ∮E⋅dA=Qϵ0\oint E \cdot dA = \frac{Q}{\epsilon_0}∮E⋅dA=ϵ0​Q​
• Capacitor Parallel Plate Formula: C=ϵ0AdC = \frac{\epsilon_0 A}{d}C=dϵ0​A​
• Ohm’s Law: V=IRV = IRV=IR
• Magnetic Field Due to Current Carrying Wire: B=μ0I2πrB = \frac{\mu_0 I}{2\pi r}B=2πrμ0​I​

Optics and Modern Physics

• Mirror Formula: 1f=1v−1u\frac{1}{f} = \frac{1}{v} - \frac{1}{u}f1​=v1​−u1​
• Photoelectric Equation: E=hν−ϕE = h \nu - \phiE=hν−ϕ
• De Broglie Wavelength: λ=hmv\lambda = \frac{h}{mv}λ=mvh​

✔ Tip: Practice derivations to understand how these formulas work, instead of just memorizing them.

3. Chemistry Formulas for JEE Main & Advanced

Chemistry formulas are divided into Physical Chemistry, Organic Chemistry, and Inorganic Chemistry. Many problems in JEE require direct formula application.

Physical Chemistry

• Ideal Gas Equation: PV=nRTPV = nRTPV=nRT
• Raoult’s Law: PA=XAPA∘P_A = X_A P^\circ_APA​=XA​PA∘​
• pH Formula: pH=−log⁡[H+]pH = -\log [H^+]pH=−log[H+]
• Arrhenius Equation: k=Ae−EaRTk = A e^{-\frac{E_a}{RT}}k=Ae−RTEa​​
• First-Order Reaction Formula: t1/2=0.693kt_{1/2} = \frac{0.693}{k}t1/2​=k0.693​

Organic Chemistry

• General Formula for Alkanes: CnH2n+2C_nH_{2n+2}Cn​H2n+2​
• General Formula for Alkenes: CnH2nC_nH_{2n}Cn​H2n​
• SN1 Reaction Rate: Rate ∝[R−X]\propto [R-X]∝[R−X]
• SN2 Reaction Rate: Rate ∝[R−X][Nu−]\propto [R-X][Nu^-]∝[R−X][Nu−]
• Huckel’s Rule for Aromaticity: 4n+24n+24n+2 π-electrons

Inorganic Chemistry

• Molecular Orbital Theory Bond Order: BO=Bonding e−−Antibonding e−2BO = \frac{\text{Bonding e}^- - \text{Antibonding e}^-}{2}BO=2Bonding e−−Antibonding e−​
• Crystal Field Splitting Energy for Octahedral Complexes: Δo=10Dq\Delta_o = 10DqΔo​=10Dq
• Electronegativity Trend: F>O>N>Cl>Br>IF > O > N > Cl > Br > IF>O>N>Cl>Br>I

✔ Tip: For Organic Chemistry, focus on reaction mechanisms and named reactions to quickly recall formulas during the exam.

4. Mathematics Formulas for JEE Main & Advanced

Mathematics in JEE is formula-heavy, and remembering key equations can make problem-solving much faster. Below are some must-know formulas for JEE.

Algebra

• Quadratic Equation Roots: x=−b±b2−4ac2ax = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}x=2a−b±b2−4ac​​
• Sum of n Natural Numbers: Sn=n(n+1)2S_n = \frac{n(n+1)}{2}Sn​=2n(n+1)​
• Sum of Geometric Progression: Sn=a(1−rn)1−rS_n = \frac{a(1-r^n)}{1-r}Sn​=1−ra(1−rn)​

Calculus

• Derivative of xnx^nxn: ddxxn=nxn−1\frac{d}{dx} x^n = n x^{n-1}dxd​xn=nxn−1
• Integration by Parts: ∫uvdx=u∫vdx−∫(dudx∫vdx)dx\int u v dx = u \int v dx - \int \left( \frac{du}{dx} \int v dx \right) dx∫uvdx=u∫vdx−∫(dxdu​∫vdx)dx
• Definite Integral Property: ∫abf(x)dx=∫abf(a+b−x)dx\int_a^b f(x)dx = \int_a^b f(a+b-x)dx∫ab​f(x)dx=∫ab​f(a+b−x)dx

Coordinate Geometry

• Distance Formula: d=(x2−x1)2+(y2−y1)2d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}d=(x2​−x1​)2+(y2​−y1​)2​
• Equation of a Circle: (x−h)2+(y−k)2=r2(x-h)^2 + (y-k)^2 = r^2(x−h)2+(y−k)2=r2
• Equation of a Parabola: y2=4axy^2 = 4axy2=4ax

✔ Tip: Maintain a formula book and revise them daily to enhance retention.

5. Best Strategies to Memorize Formulas for JEE

1. Use Flashcards: Write formulas on small index cards and revise them frequently.
2. Practice Daily: Solve problems using formulas to improve recall speed.
3. Group Formulas by Topics: Categorize formulas into Mechanics, Electrostatics, Algebra, etc.
4. Use Mnemonics and Shortcuts: Create easy-to-remember tricks for complex formulas.
5. Revise Formulas Before Sleeping: This helps in long-term memory retention.

✔ Tip: Consistent revision and application of formulas ensure that you don’t forget them under exam pressure.

6. How 12thclass.com Can Help You Master JEE Formulas

At 12thclass.com, we provide:
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✔ Mock tests and practice papers to test formula application.
✔ Shortcuts and tricks for memorizing difficult formulas.
✔ Previous year JEE questions to understand formula usage.

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Conclusion

Formulas are the backbone of JEE preparation. Instead of memorizing everything at once, follow a structured revision plan, use flashcards, and practice problems regularly.

By mastering key formulas in Physics, Chemistry, and Mathematics, you can improve speed, accuracy, and confidence during the exam.

For more JEE study resources, formula sheets, and expert strategies, visit 12thclass.com today. 🚀