JEE Main All Formula PDF 2025 - Ultimate Revision Guide

• Gather study materials before beginning preparations. 

• Make separate notes for the relevant formulas for each subject as you prepare for the exam. 

• These handy notes help with concentrating on the concepts. 

• It helps in exam time management.

• It makes calculation easier.

• Reduces the risk of errors.

Important Formulas of Physics for JEE Mains 2025

The JEE Main Physics section is considered as being a challenging section due to lengthy derivations and various topics. The physics section of the JEE Main 2025 exam covers various topics, including Mechanics, Electricity and Magnetism, Thermodynamics, Optics, and Modern Physics, as per the JEE Main Physics Syllabus 2025. Let us take a look at some important formulas for JEE Main 2025.

Kinematics Formulas:

• Average speed = Total distance/Total time

• Average velocity = Total displacement/Total time

• Acceleration = (Final velocity - Initial velocity) / Time taken

• Final velocity = (Initial velocity + Acceleration) × Time taken

• Displacement = (Initial velocity + Final velocity) / 2 × Time taken

Newton's Laws of Motion:

• $F = m \times a$ (Newton's Second Law of Motion)

• Force of friction $= \mu \times N$ (where $\mu$ is the coefficient of friction and N is the normal force)

• Weight $= m \times g$ (where g is the acceleration due to gravity)

• Impulse = force $\times$ time

• Law of Conservation of Momentum: Momentum before collision = Momentum after collision

Work, Energy, and Power Formulas:

• Work = force $\times$ displacement $\times$ $\cos \theta$

• Kinetic Energy $= 0.5 \times m \times v^2$

• Potential Energy $= m \times g \times h$

• Total Mechanical Energy = Kinetic Energy + Potential Energy

• Power = work done/time taken

Electric Charge and Fields Formulas:

• Electric Field = force per unit charge $= \dfrac{F}{Q}$

• Coulomb's Law: $F = \dfrac{k \times (q_1 \times q_2)}{r^2}$

• Electric Potential Energy $= q \times V$

• Electric Potential $= \dfrac{V}{d}$

Energy of electric dipole: $U = – \rho E$

Energy of a magnetic dipole: $U = – \mu B C$

Electric Charge: $Q = \pm ne$ (where $e = 1.60218 \times 10^{-29} C$), SI unit of Electric Charge is Coulomb ©

Coulomb’s Law: 

Electrostatic Force (F) $= k\left[\dfrac{q_1q_2}{r_2}\right]$ and,

In Vector Form :

• $\vec{F} = k(q_1q_2) \times \dfrac{\vec{r}}{r^3}$, 

Where $q_1$ and $q_2$ are Charges on the Particle,

r = Separation between them,

$\vec {r}$ = Position Vector,

$k$ = Constant $= \dfrac{1}{4}\pi \epsilon_0 = 8.98755 \times 10^9Nm^2C^2$

Electric Current :

• The current at Time $t : i = \underset{\Delta t \to 0}{lim} \dfrac{\Delta Q}{\Delta t} = \dfrac{dQ}{dT}$

      Where $\Delta Q$ and $\Delta T$ = Charges crosses an Area in time $\Delta T$

     SI unit of Current is Ampere (A) and 1A = 1 C/s

Average current density:

• $\vec{j} = \dfrac{\Delta i}{\Delta s}$

• $j = \underset{\Delta s \to 0}{lim}\dfrac{\Delta i}{\Delta s} = \dfrac{di}{dS}$

• $j = \dfrac{\Delta i}{\Delta S \cos \theta}$

Where, $\Delta S$ = Small Area,

$\Delta i$ = Current through the Area $\Delta S$,

P = Perpendicular to the flow of Charges,

$\theta$ = Angle Between the normal to the Area and the direction of the current.

Kirchhoff’s Law:

• Law of Conservation of Charge: $I_3 = I_1 + I_2$

Resistance:

• Resistivity : $\rho (T) = \rho (T_0)\left[1 + \alpha (T − T_0)\right]$

• $R (T) = R (T_0) \left[1 + \alpha (T−T_0)\right]$

Where, $\rho (T)$ and $\rho (T_0)$ are Resistivity at Temperature $T$ and     $T_0$ respectively,

$\alpha$ = Constant for given material.

Lorentz Force :

• $\vec F = q\left[\vec E + (\vec v \times \vec B)\right]$

Where, E = Electric Field,

B = Magnetic Field,

q = Charge of Particle,

v = Velocity of Particle.

Magnetic Flux:

• Magnetic Flux through Area $dS = \varphi = \vec{B} \cdot d\vec{S} = B \cdot dS \cos \theta$

Where, $d\vec{S}$ = Perpendicular vector to the surface and has a magnitude equal to are Ds,

$\vec{B}$ = Magnetic Field at an element,

$\theta$ = Angle Between $\vec{B}$ and $d\vec{S}$,

SI unit of Magnetic Flux is Weber (Wb).

Straight Line Equation of Motion (Constant Acceleration):

• $v = u + at$

• $s = ut + \dfrac{1}{2at^2}$

• $2as = v^2 − u^2$

Gravitational Acceleration Equation of Motion:

Motion in Upward Direction:

• $v = u - gt$

• $y = ut − \dfrac{1}{2gt^2}$

• $−2gy = v^2 − u^2$

Motion in Downward Direction:

• $v = u + gt$

• $y = ut + \dfrac{1}{2gt^2}$

• $2gy = v^2 − u^2$

Projectile Equation of Motion:

• Horizontal Range $(R) = \dfrac{u^2 \sin2θ}{g}$

• Time of Flight $(T) = \dfrac {2u \sin \theta}{g}$

• Maximum Height $(H) = \dfrac{u^2 \sin 2\theta}{2}$

Where, u = initial velocity,

v = final velocity,

a = constant acceleration,

t = time,

x = position of particle.

Laws of Gravity

Universal Law of Gravitation:

• Gravitational force $\vec{F} = G\left[\dfrac{Mm}{r^2}\right]^r$

Where, M and m = Mass of two Objects,

r = separation between the objects,

$\cap{r}$ = unit vector joining two objects,

G = Universal Gravitational Constant, $\left[G = 6.67 \times 10^{−11}Nm^2Kg^{-2}\right]$

Work Done by Constant Force:

• Work Done $W = \vec{F} \cdot \vec{S} = |\vec{F}| |\vec{S}| \cos \theta$,

Where, S = Displacement along a straight line,

F = applied force,

$\theta$ = Angle between S & F.

It is a scalar quantity and the Dimension of work is $\left[M^1 L^2 T^{-2}\right]$, SI unit of Work is the joule (J) and $1J = 1N \cdot m = Kgm^2s^{-2}$

Kinetic Friction:

• $f_k = \mu_k \cdot N$

• Maximum Static Friction (Limiting Friction): $f_{\text{max}} = \mu_s \cdot N$,

Where, N = Normal Force,

$\mu_k$ = Coefficient of Kinetic Friction,

$µ_s$ = Coefficient of Static Friction.

Simple Harmonic Motion:

• Force $(F) = – k x$ and $k = \omega^2 m$

Where, k = Force Constant,

m = Mass of the Particle,

x = Displacement and $\omega^2$ = Positive Constant.

Torque: 

The torque or vector moment or moment vector (M) of a force (F) about a point (P) is defined as:

• $M = r \times F$

Where, r is the vector from the point P to any point A on the line of action L of F.

These are few of the key formulas for JEE Main 2025 Physics. To gain confidence and perform well in the exam, it is important to grasp their applications and practise various types of questions based on them.

Important Formulas of Chemistry for JEE Main 2025

Chemistry is considered a simple subject in comparison. Maximum marks can be obtained from this section with proper preparation. Here are some important JEE Main Chemistry Formulas according to the latest JEE Main Chemistry Syllabus 2025.

Ideal Gas Law: $PV = nRT$

Kinetic Energy of Gas Molecules: $KE = \left(\dfrac{3}{2}\right)RT$

$T(K) = T^\circ C + 273.15$

Molarity: $(M) = \dfrac{\text{No. of Moles of Solutes}}{\text{Volume of Solution in Liters}}$

Unit: $\text{mole}/{L}$

Molality: $(m)= \dfrac{\text{No. of Moles of Solutes}}{\text{Mass of solvent in kg}}$

Molecular Mass $= 2 \times$ vapor density

Atomic number = No. of protons in the nucleus = No. of electrons in the nucleus

Mass number = No. of protons + No. of neutrons C $= v \lambda$

Boyle’s Law: $P_1V_1 = P_2V_2$  (at constant T and n)

Charles’s Law: $\dfrac{V_1}{T_1} = \dfrac{V_2}{T_2}$ (at constant P and n)

Avogadro's Law: $\dfrac{V}{n}$ = constant, where V is the volume and n is the number of moles.

Dalton's Law of Partial Pressures: $P(\text{total}) = P_1 + P_2 + P_3 + …$, where P(total) is the total pressure and $P_1, P_2, P_3$ etc. are the partial pressures of individual gases in the mixture.

Enthalpy: $H = U + pV$

First Law of Thermodynamics: $\Delta U = q + W$

Ohm’s Law: $V = RI$

Faraday’s Laws:

• Faraday’s First Law of Electrolysis:

$M = Zit$

Z = Atomic Mass / n $\times$ F

• Faraday’s Second Law of Electrolysis:

$\dfrac{M_1}{M_2} = \dfrac{E_1}{E_2}$

Freundlich Adsorption Isotherm: 

$\left[\dfrac{x}{m}\right] - Kp^{\left(\dfrac{1}{n}\right)}; n \geq 1$

Henry's Law: $S = kH \times P$,

Where S is the solubility of a gas in a liquid, P is the partial pressure of the gas above the liquid, and kH is the Henry's law constant.

Nernst Equation: $E = E^\circ - \left(\dfrac{RT}{nF}\right)lnQ$,

Where E is the cell potential, $E^\circ$ is the standard cell potential, R is the gas constant, T is the temperature, n is the number of electrons transferred, F is the Faraday constant, and Q is the reaction quotient.

Henderson-Hasselbalch Equation: $pH = pKa + log\left(\dfrac{[A^{-}]}{[HA]}\right)$

Where pH is the negative logarithm of the hydrogen ion concentration, pKa is the acid dissociation constant, $[A^{-}]$ is the concentration of the conjugate base, and $[HA]$ is the concentration of the acid.

Beer-Lambert Law: $A = \epsilon bc$

Where A is the absorbance, $\epsilon$ is the molar absorptivity, b is the path length, and c is the concentration.

Important Formulas of Mathematics for JEE Mains 2025

If you focus well on your board exams, you will breeze through your Mathematics course. Formulas are extremely important in the preparation of the mathematics portion. Below are a few of the Maths Formulas for JEE Mains to help you prepare for your exams according to the JEE Main Maths Syllabus 2025.

Complex Number:

• General form of Complex numbers: $x + i$, where ‘x’ is Real part and ‘i’ is an Imaginary part.

• Sum of nth root of unity = zero

• Product of nth root of unity $= (–1)n–1$

• Cube roots of unity: $1, \omega, \omega^2$

• $|z_1 + z_2| \leq |z_1|+|z_2|; |z_1 + z_2| \geq |z_1| - |z_2|; |z_1 - z_2| \geq |z_1| - |z_2|$

• If three complex numbers $z_1, z_2, z_3$ are collinear then,

• $\begin{vmatrix} z_1& \bar{z_1} & 1 \\ z_2  & \bar{z_2} & 1 \\ z_3 & \bar{z_3} & 1 \end{vmatrix} = 0$

• If $\arg \cos\alpha = \arg \sin\alpha = 0, \arg \cos 2\alpha = \arg \sin 2\alpha = 0$,

• $\arg \cos 2n\alpha = \arg \sin 2n\alpha = 0$

• $\arg \cos 2\alpha = \arg \sin 2\alpha = \dfrac{3}{2}$

• $\arg \cos 3\alpha = 3 \cos (\alpha + \beta + \gamma)$

• $\arg \sin 3\alpha = 3\sin (\alpha + \beta + \gamma)$

• $\arg \cos (2\alpha – \beta – \gamma) = 3$

• $\arg \sin (2\alpha – \beta – \gamma) = 0$

• $a^3 + b^3 + c^3 – 3abc = (a + b + c) (a + b\omega + c\omega^2) (a + b\omega^2 + c\omega)$

Quadratic Equation:

• Standard form of Quadratic equation: $ax^2 + bx + c = 0$

• General equation: $x = \dfrac{-b \pm \sqrt{(b^2 - 4ac)}}{2a}$

• Sum of roots $= -\dfrac{b}{a}$

• Product of roots discriminate $= b^2 – 4ac$

• If $\alpha, \beta$ are roots then Quadratic equation is $x^2 – x(\alpha + \beta) + \alpha \beta = 0$

• Number of terms in the expansion: $(x+a)^n$ is $n+1$

• Any three non coplanar vectors are linearly independent

• A system of vectors $\bar{a_1}, \bar{a_2},….\bar{a_n}$ are said to be linearly dependent, If there exist, $x_1\bar{a_1} + x_2\bar{a_2} + …. + x_na_n=0$ at least one of $x_i \neq 0$, where $i = 1, 2, 3….n$ and determinant $= 0$

• a, b, c are coplanar then $\left[abc\right]=0$

• If i, j, k are unit vectors then $\left[i j k\right] = 1$

• If a, b, c are vectors then $\left[a+b, b+c, c+a\right] = 2\left[abc\right]$

• $(1 + x)^{n – 1}$ is divisible by $x$ and $(1 + x)^n – nx –1$ is divisible by $x^2$

• If ${}^{n}C_{r} - 1, {}^{n}C_{r}, {}^{n}C_{r}+1$ are in A.P, then $(n–2r)^2 = n + 2$

Trigonometric Identities:

• $\sin^2(x) + \cos^2(x) = 1$

• $1 + \tan^2(x) = \sec^2(x)$

• $1 + \cot^2(x) = \text{cosec}^2(x)$

Limits:

• Limit of a constant function: $\lim c = c$

• Limit of a sum or difference: $\lim (f(x) \pm g(x)) = \lim f(x) \pm \lim g(x)$

• Limit of a product: $\lim (f(x)g(x)) = \lim f(x) \times \lim g(x)$

• Limit of a quotient: $\lim \left(\dfrac{f(x)}{g(x)}\right) = \dfrac{\lim f(x)}{\lim g(x)}$ if $\lim g(x) \neq 0$

Derivatives:

• Power Rule: $\dfrac{d}{dx}(x^n) = nx^{(n-1)}$

• Sum/Difference Rule: $\dfrac{d}{dx}\left(f(x) \pm g(x)\right) = f'(x) \pm g'(x)$

• Product Rule: $\dfrac{d}{dx}\left(f(x)g(x)\right) = f'(x)g(x) + f(x)g'(x)$

• Quotient Rule: $\dfrac{d}{dx}\left(\dfrac{f(x)}{g(x)}\right) = \dfrac{\left[g(x)f'(x) - f(x)g'(x)\right]}{g^2(x)}$

Integration:

• $\int{x^n }dx = \dfrac{x^{n+1}}{n+1} + c$ where $n \neq -1$

• $\int \dfrac{1}{x} dx = \log_{e}\left | x \right | + c$

• $\int e^x dx = e^x + c$

• $\int a^x dx = \dfrac{a^{x}}{\log_{e}a} + c$

• $\int \sin x dx = - \cos x + c$

• $\int \cos x dx = \sin x + c$

• $\int \sec^2x dx = \tan x + c$

• $\int \text{cosec}^2x dx = - \cot x + c$

• $\int \sec x tan x dx = \sec x + c$

• $\int \text{cosec }x \cot x dx = –{cosec }x + c$

• $\int \cot x dx = \log |\sin x|+c$

• $\int \tan x dx = -\log ∣\cos x∣ + c$

• $\int \sec x dx = log ∣\sec x + \tan x∣ + c$

• $\int \text{cosec }x dx = log ∣\text{cosec }x – \cot x∣ + c$

• $\int \dfrac{1}{\sqrt{a^{2} - x^{2}}} dx = \sin^{-1} \left(\dfrac{x}{a}\right) + c$

• $\int - \dfrac{1}{\sqrt{a^{2} - x^{2}}} dx = \cos^{-1} \left(\dfrac{x}{a}\right) + c$

• $\int \dfrac{1}{{a^{2} + x^{2}}} dx = \dfrac{1}{a} \tan^{-1} \left(\dfrac{x}{a}\right) + c$

• $\int - \dfrac{1}{{a^{2} + x^{2}}} dx = \dfrac{1}{a} \cot^{-1} \left(\dfrac{x}{a}\right) + c$

• $\int \dfrac{1}{x\sqrt{x^{2} - a^{2}}} dx = \dfrac{1}{a} \sec^{-1} \left(\dfrac{x}{a}\right) + c$

• $\int - \dfrac{1}{x\sqrt{x^{2} - a^{2}}} dx = \dfrac{1}{a} \text{cosec}^{-1} \left(\dfrac{x}{a}\right) + c$

Tricks to Remember The Formula for JEE Main 2025

1. Create Visual scene: Draw diagrams or mind maps that connect related formulas and concepts. Visual aids make it easier to remember complex formulas by association.

2. Relate Formulas to Concepts: Understand the logic behind each formula instead of memorising it in isolation. Knowing why a formula works helps you remember it better.

3. Practice Regularly: Apply formulas to as many problems as possible. Practising reinforces the formula in your memory through usage.

4. Break It Down: Break down complex formulas into smaller parts and learn each part individually. This makes lengthy formulas easier to remember.

5. Use Mnemonics: Create mnemonics or simple stories to associate formulas with keywords. This technique is especially useful for memorising Chemistry equations.

6. Teach Someone Else: Explaining a formula to someone else or even reciting it out loud helps reinforce your understanding and memory.

7. Daily Revision: Set aside a few minutes each day to revise all the formulas you’ve learned. Consistent review is key to long-term retention.

8. Group Formulas by Topic: Organise formulas by topics like mechanics, calculus, or thermodynamics. This structure helps you remember them with specific subjects.

9. Use Vedantu’s Formula Sheets: Vedantu’s JEE Main formula sheets summarise all important formulas in one place, helping you review efficiently and save time.

Key Changes in JEE Main 2025 Exam Pattern

The National Testing Agency (NTA) has announced significant changes to the JEE Main 2025 exam pattern, reverting to the pre-pandemic format. These modifications apply to all three papers: Paper 1 (B.E./B.Tech), Paper 2A (B.Arch), and Paper 2B (B.Planning).

1. Section B Questions:

• Previously, Section B contained 10 numerical value questions per subject, with candidates required to attempt any 5.

• In 2025, Section B will have exactly 5 numerical value questions per subject, all of which are compulsory.
  
  

2. Total Number of Questions:

• Each subject (Physics, Chemistry, Mathematics) will have 25 questions: 20 multiple-choice questions (MCQs) in Section A and 5 numerical value questions in Section B.

• This totals 75 questions for Paper 1, with a maximum score of 300 marks.
  
  

3. Marking Scheme:

• Each correct answer awards 4 marks.

• Incorrect answers in both sections will incur a penalty of 1 mark.

• Unattempted questions will not affect the score.
  
  

4. Exam Mode and Duration:

• The examination will be conducted using a computer-based test (CBT).

• The duration for each paper is 3 hours.

Implications for Candidates

• All questions in both sections are now mandatory, eliminating the previous option to choose questions in Section B.

• Candidates should practice both MCQs and numerical value questions to adapt to the revised pattern.

• Time management becomes crucial, as all questions must be attempted within the allotted time.

Tips to Prepare for JEE Main 2025 

• Know the Syllabus & Pattern: Understand key topics and the latest exam pattern.

• Plan Your Study: Create a balanced schedule covering all subjects.

• Start with NCERT: Begin with NCERT books for strong basics, especially in Chemistry.

• Use Advanced Books: Refer to H.C. Verma (Physics), R.D. Sharma (Maths), and O.P. Tandon (Chemistry).

• Practice Mock Tests: Regularly take mock tests and solve past papers for time management.

• Focus on Speed & Accuracy: Practice solving questions quickly and precisely.

• Revise Often: Make summary notes and revise regularly to retain concepts.

• Analyse Weak Areas: Review mistakes in tests and work on weak areas.

• Stay Healthy: Take breaks, exercise, and get enough rest.

• Stay Positive: Be consistent and keep a positive mindset throughout your preparation.

Benefits of Vedantu Resources in JEE Main 2025

• Vedantu offers comprehensive resources for JEE Main 2025 preparation, including detailed study materials, live interactive classes, and one-on-one doubt-solving sessions with experienced teachers. 

• Students can access mock tests and sample papers that mimic the actual exam, along with detailed performance analysis to pinpoint areas needing improvement.

• With formula sheets, quick revision notes, and recorded sessions, Vedantu ensures flexibility and effective last-minute prep.

• The platform also provides exam-specific strategies to boost confidence and help students tackle JEE Main effectively, all at an affordable cost, making quality preparation accessible to everyone.

Conclusion

To solve problems efficiently, it is important to memorise and understand these formulas and their applications. Practising different types of questions and problems based on these formulas will also help you acquire confidence and perform well on the JEE Main Exam. You can also download all important formulas for the JEE Mains 2025 pdf from our Vedantu website.

Important Study Materials Links for JEE Exams 2025

JEE Exams 2025, having the right study materials is crucial for success. The JEE Main and Advanced exams require a strong grasp of Physics, Chemistry, and Mathematics, as well as thorough practice with exam-style questions. 

Access to quality resources, including sample papers, practice tests, and detailed notes, helps students review key topics and practice effectively.