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JEE Main Formulas 2026 - JEE Mains is the competitive entrance exams for engineering programs. To do well on this exam, you must understand the fundamental concepts and formulas of Mathematics, Physics, and Chemistry. Aspirants preparing for the JEE Mains can check the JEE Main formulas 2026 available on this page. JEE Mains is Conducted by the National Testing Agency (NTA), this exam evaluates a candidate's proficiency in Physics, Chemistry, and Mathematics. Since there are many formulas in these three subjects, candidates need a way to recall them for revision purposes. JEE Main important formulas in Math, Physics, and Chemistry are integral to calculating answers for numerical questions.
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Candidates must make a handy note of all important formulas to revise frequently. Candidates must have a good command of each topic and the formulas to crack the JEE Main 2026 exam to ace the test. Through this article, students can find the provided JEE Main formulas for Maths, Physics, and Chemistry. Knowing important formulas in depth can help you solve problems fast and accurately, which is important for scoring well in JEE Main.
The exam is divided into two main sections:
Section A: The quizzes contained in this section are 20 MCQs for each course. What the MCQ requires is four options and only one of them is the right answer.
Section B: This section has 5 numerical value questions for each of the subject areas, and the candidate only has to answer all five of these. These numerical value questions have to be answered accurately, sometimes to the second decimal place.
Aspirants preparing for JEE Mains must remember that along with concepts one needs to revise and remember the formulas, which are very important while solving any problems. As JEE Main Physics formulas are given below, these formulas need to be memorized daily as direct questions and formulas are asked in exams.
Below are a few important formulas for JEE Main Physics.
Newton’s first law of motion
If $\mathrm{F}_{\text {net }}=\mathrm{O} \Rightarrow \mathrm{a}_{\mathrm{net}}=\mathrm{O} \Rightarrow$ forces in all directions are zero,i.e, $\sum \vec{F}_x=0, \sum \vec{F}_y=0, \sum \vec{F}_z=0$
Work, Energy, and Power for Rotating Body
Work-
For translation motion $W=\int F d s$
So for rotational motion $W=\int \tau d \theta$
2. Rotational kinetic energy-
The energy of a body has by virtue of Its rotational motion is called its rotational kinetic energy.
3. Power =Rate of change of kinetic energy
For translation motion $P=\vec{F}, \vec{V}$
So for rotational motion
$$
P=\frac{d\left(K_R\right)}{d t}=\frac{d\left(\frac{1}{2} J_\iota{ }^2\right)}{d t}=I \omega \frac{d \omega}{d t}=I \alpha \omega=\tau \cdot \omega
$$
Or $P=\vec{\tau} \cdot \vec{\omega}$
Newton's Law of Gravitation
$$
F \propto \frac{m_1 m_2}{r^2}
$$
Or, $F=\frac{G m_1 m_2}{r^2}$
Where
$F \rightarrow$ Force
$G \rightarrow$ Gravitational constant
$m_1, m_2 \rightarrow$ Masses
$r \rightarrow$ Distance between masses
Gravitational Potential energy at a point
Then gravitational force on test mass m at a distance r from M is given by $F=\frac{G M m}{r^2}$
And the amount of work done in bringing a body from $\infty$ to $r$
$$
=W=\int_{\infty}^r \frac{G M m}{x^2} d x=-\frac{G M m}{r}
$$
And this is equal to gravitational potential energy
SoU $=-\frac{G M m}{r}$
$U \rightarrow$ gravitational potential energy
$M \rightarrow$ Mass of source-body
$m \rightarrow$ mass of test body
$r \rightarrow$ distance between two
Note- U is always negative in the gravitational field because Force is attractive in nature.
Means As the distance r increases U becomes less negative
l.e U will increase as r increases
And for $r=\infty, U=0$ which is maximum
Gravitational Potential energy of discrete distribution of masses
$$
U=-G\left[\frac{m_1 m_2}{r_{12}}+\frac{m_2 m_3}{r_{23}}+\cdots\right]
$$
$U \rightarrow$ Net Gravitational Potential Energy
$r_{12}, r_{23} \rightarrow$ The distance of masses from each other
Change of potential energy
If a body of mass $m$ is moved $\qquad$些, $r_1$ to $r_2$
Then Change of potential energy is given as
$$
\Delta U=G M m\left[\frac{1}{r_1}-\frac{1}{r_2}\right]
$$
$\Delta U \rightarrow$ change of energy
$r_1, r_2 \rightarrow$ distances
If $r_1>r_2$ then the change in potential energy of the body will be negative.
Le To decrease potential energy of a body we have to bring that body closer to the earth.
The relation between Potential and Potential energy
$$
\begin{aligned}
& \text { As } U=\frac{-G M m}{r}=m\left[\frac{-G M}{r}\right] \\
& \text { But } V=-\frac{G M}{r} \\
& \text { So } U=m V
\end{aligned}
$$
Where $V \rightarrow$ Potential
$U \rightarrow$ Potential energy
$r \rightarrow$ distance
The gravitational potential energy at height 'h' from the earth's surface
$U_h=-\frac{G M m}{R+h}$
Using $G M=g R^2$
$$
\begin{aligned}
& U_h=-\frac{g R^2 m}{R+h} \\
& U_h=-\frac{m g R}{1+\frac{h}{R}}
\end{aligned}
$$
$U_h \rightarrow$ The potential energy at the height $h$
$R \rightarrow$ Radius of earth
Power in AM waves
If $V_{r m s}$ is root mean square value
and $R=$ Resistance
then Power dissipated in any circuit.
$$
P=\frac{V_{r m s}^2}{R}
$$
So Carrier Power will be given as
$$
P_c=\frac{\left(\frac{E_c}{\sqrt{2}}\right)^2}{R}=\frac{E_c^2}{2 R}
$$
$E_{\mathrm{c}}=$ The amplitude of the carrier wave
$R=$ Resistance
Similarly, Total Power of sidebands will be given as
$$
P_{s t}=\frac{\left(\frac{m_0 E_c}{2 \sqrt{2}}\right)^2}{R}+\frac{\left(\frac{m_n E_c}{2 \sqrt{2}}\right)^2}{R}=\frac{m_a^2 E_c^2}{4 R}
$$
Where
$$
m_a=\text { modulation index }
$$
$E_c=$ the amplitude of carrier waves
$$
\mathrm{R}=\text { resistance }
$$
And this gives Total power of AM wave as
$$
\begin{aligned}
& P_{\text {tatal }}=P_c+P_{s b} \\
& =\frac{E_c^2}{2 R}\left(1+\frac{m_a^2}{2}\right)
\end{aligned}
$$
where
$m_a=$ modulation index
$E_c=$ the amplitude of carrier waves
$R=$ Resistance
Note-maximum power in the AM wave without distortion Occurs when $m_a=1$
Le $P_{\mathrm{t}}=1.5 P=3 P_{\mathrm{s}}$
Frequency modulation
Frequency modulation
- Frequency modulation deviation-The The amount by which carrier frequency is varied from its unmodulated value.
The deviation is made proportional to the instantaneous value of the modulating voitage.
- Value of frequency deviation $=\hat{\delta}=\int-f_c$
$$
\begin{aligned}
& d_{\text {Wax }}=f_{\text {max }}-f_c \\
& = \pm K E_{\mathrm{m}}
\end{aligned}
$$
$E_{x 0}=$ modulating amplitude
- The modulation index of frequency modulation-
It is defined as the ratio of maximum frequency deviation to the modulating frequency.
$$
\begin{aligned}
& m_f=\frac{\delta_{\mathrm{muxx}}}{f_m} \\
& = \pm \frac{K E_m}{f_m}
\end{aligned}
$$
Candidates while studying the chemistry, they need to revise and practice the chemical equations and symbols, to some chemistry is tough subject but when candidates practices chemical equations, revises the properties, formulas and symbols they will have command over the subject Candidates can check the JEE Main Chemistry formulas below
Physical Properties of Alkali Metals
Molar Conductance
Equivalent Conductance
$\begin{aligned} & \text { Equivalent conductance }=\frac{\text { Molar conductance }}{x} \\ & \text { where } x=\frac{\text { Molecular mass }}{\text { Equivalent mass }}=\mathrm{n}-\text { factor }\end{aligned}$
Method of Preparation of Carboxylic Acid
Kinetic Energy
If at a given temperature, $n_3$ molecules have speed $u_1, n_2$, malecules have speed $u_2, n_3$ molecules have speed $u_3$ and so an Then, the total kinetic energy ( EK ) of the gas at this temperature is given ly:
$$
\mathrm{E}_{\mathrm{K}}=\frac{1}{2} m\left(\mathrm{~m}_1 \mathrm{v}_{\mathrm{S}}^2+\mathrm{n}_2 \mathrm{v}_2^2+\mathrm{n}_{\mathrm{s}} \mathrm{v}_{\mathrm{j}}^2+\ldots \ldots \ldots\right)
$$
where $m$ is the mass of the molecule. The corresponding average kinetic energy $\overline{E_k}$ of the gas will be:
$$
\overline{E_K}=\frac{1}{2} \frac{m_1\left(n_1 v_1^2+n_2 v_2^2+n_3 v_2^2+\ldots \ldots . .\right)}{\left(n_1+n_2+n_3+\ldots \ldots .\right)}
$$
If the $\operatorname{verm} \frac{\left\{\mathrm{n}_1 v_i^2+\mathrm{n}_2 \mathrm{v}_2^3+\mathrm{n}_{\mathrm{j}} \mathrm{v}_j^2+\ldots \ldots .\right)}{\left(\mathrm{n}_1+\mathrm{n}_2+\mathrm{n}_3+\ldots \ldots .\right)}=\mathrm{v}^2$
then the average kinetic energy is given by :
$$
\overline{\mathrm{E}_{\mathrm{K}}}=\frac{1}{2} \mathrm{~m} \overline{\mathrm{v}^2}
$$
where v is ghen by
$$
\mathrm{v}=\sqrt{\frac{\left(\mathrm{n}_1 \mathrm{v}_1^2+\mathrm{n}_2 \mathrm{v}_2^2+\mathrm{n}_1 \mathrm{v}_3^2+\ldots \ldots \ldots\right)}{\left(\mathrm{n}_1+\mathrm{n}_2+\mathrm{n}_5+\ldots \ldots \ldots\right)}}
$$
This 'v' is known as root-mean-square speed $u_{\text {mins }}$
Molarity(M): No. of moles of solute/ volume of solution in liter
Molality (m): No. of moles of solute/weight of solvent in kg
Candidates must go through all the formulas and practice the mathematical problems. Without formulas you cannot solve any problem though you know how to solve it. Revising the formulas daily is very important. Here we have provided Mathematics formulas for JEE Mains.
Equation of Circle
Centre-Radius Form
Let $\mathrm{P}(\mathrm{x}, \mathrm{y})$ be any point on the circle. Then, by definition, $|C P|=r$.
Using the distance formula, we have
$$
\sqrt{(x-h)^2+(y-k)^2}=r
$$
i.e. $\quad(x-h)^2+(y-k)^2=r^2$
If the centre of the circle is the origin or $(0,0)$ then equation of the circle becomes $(x-0)^2+(y-0)^2=r^2$
i.e. $x^2+y^2=r^2$
- General equation of a circle
The equation of a circle with centre at ( $\mathrm{h}, \mathrm{k}$ ) and radius r is
$$
\begin{aligned}
& \Rightarrow(x-h)^2+(y-k)^2=r^2 \\
& \Rightarrow x^2+y^2-2 h x-2 k y+h^2+k^2-r^2=0
\end{aligned}
$$
Which is of the form :
$$
x^2+y^2+2 g x+2 f y+c=0
$$
This is known as the general equation of the circle.
Line and Circle
S is a circle with center O and radius r , and L is a straight line in the plane of the circle.
Equation of circle $\mathrm{S}: \mathrm{x}^2+\mathrm{y}^2=\mathrm{a}^2$
Equation of line L: $y=m x+c$
To find their point(s) of intersection, we can solve these equations simultaneously $\mathrm{x}^2+(\mathrm{mx}+\mathrm{c})^2=\mathrm{a}^2$
$\left(1+m^2\right) x^2+2 m c x+c^2-a^2=0$
Exponential Limits
(i) $\lim _{\mathrm{x} \rightarrow 0} \frac{\mathrm{a}^{\mathrm{x}}-1}{\mathrm{x}}=\log _{\mathrm{e}} \mathrm{a}$
Proof:
$$
\lim _{x \rightarrow 0} \frac{a^x-1}{x}=\lim _{x \rightarrow 0} \frac{\left(1+\frac{x(\log a)}{1!}+\frac{x^2(\log a)^2}{2!}+\cdots\right)-1}{x}
$$
[using Taylor series expansion of $a^x$ ]
$$
\begin{aligned}
& =\lim _{x \rightarrow 0}\left(\frac{\log a}{1!}+\frac{x(\log a)^2}{2!}+\cdots\right) \\
& =\log _e a
\end{aligned}
$$
(ii) $\lim _{\mathrm{x} \rightarrow 0} \frac{\mathrm{e}^{\mathrm{x}}-1}{\mathrm{x}}=1$
In General, if $\lim _{x \rightarrow a} f(x)=0$, then we have
(a) $\lim _{x \rightarrow a} \frac{a^{f(x)}-1}{f(x)}=\log _e a$
(b) $\lim _{x \rightarrow a} \frac{e^{f(x)}-1}{f(x)}=\log _e e=1$
Logarithmic Limits
To evaluate the Logarithmic limit we use the following results:
$$
\lim _{x \rightarrow 0} \frac{\log _e(1+x)}{x}=1
$$
Proof:
$$
\lim _{x \rightarrow 0} \frac{\log _e(1+x)}{x}=\lim _{x \rightarrow 0} \frac{x-\frac{x^2}{2}+\frac{x^3}{3}-\cdots}{x}
$$
[using Taylor series expansion of $\log _e(1+x)$ ]
$$
\begin{aligned}
& =\lim _{x \rightarrow 0}\left(1-\frac{x}{2}+\frac{x^2}{3}-\cdots\right) \\
& =1
\end{aligned}
$$
In General, if $\lim _{x \rightarrow a} f(x)=0$, then we have $\lim _{x \rightarrow a} \frac{\log _e(1+f(x))}{f(x)}=1$
Frequently Asked Questions (FAQs)
Revision is the best way to remember all the formulas. Practice more questions based on formulas and revise the formulas on a daily basis.
Yes, you can derive the formula during the exam but it is very time-consuming so candidates must learn all the formulas to save time during the exam.
General formula for alkanes is CnH2n+2 , alkenes is CnH2n and for alkynes is C
nH2n-2 respectively.
The formula of molecular mass in terms of vapor density is
Molecular mass = 2 * vapor density
On Question asked by student community
Hello Aspirant,
If you already have a Class 12 from NIOS in April 2025 with 67%, you are technically considered a “pass”. But, now since you are reappearing for Class 12 through BOSSE (Sikkim) in October 2025, in order to increase your percentage to 75% (for eligibility) here is how it works:
In the JEE Main Application Form:
For JoSAA Counselling:
Here’s a plan for JEE Mains 2026 in 4 months:
1. Divide time: 2 months for Class 12 syllabus, 1 month for Class 11, 1 month for full revision & mock tests.
2. Daily schedule: 6–7 hours study; 50% for theory & problem-solving, 50% for practice & revision.
3. Topic-wise focus: Prioritize high-weightage chapters and weak areas first.
4. Daily problem practice: Solve previous year questions and chapter-wise exercises.
5. Weekly tests: Take 1 full-length test weekly, analyze mistakes, and revise weak concepts.
6. Consistency: Avoid skipping days; maintain notes and formula sheets for quick revision.
If you want to crack JEE exam you read to dedicatedly prepared for that from the scratch to the advance focus on high weightage topic and prepare question in the time based and continuously practice the previous question this will help to know the pattern of JEE exam questions
Hello,
Your question is not clear, so it's difficult to understand what you need. Please ask again with more clarity and proper details so we can help you better.
Thank you !
Hello
You asked for the JEE Main previous year question paper in Tamil language with a download link.
The National Testing Agency conducts JEE Main in multiple regional languages including Tamil. Students who opted for Tamil as their exam language can access official past year question papers. These Tamil medium question papers are helpful for practice because they match the exact difficulty level, syllabus pattern, and marking scheme of the real examination.
For your preparation, you should focus on solving the official previous year papers because they show the actual style of Physics, Chemistry, and Mathematics questions. Attempting these papers will improve your speed, accuracy, and confidence for the upcoming JEE exam.
After searching authentic sources, the Tamil version of JEE Main past year papers is available to download in PDF format. One verified source is Collegedunia, which provides JEE Main question papers in multiple languages including Tamil. On that page you will find year-wise and shift-wise papers. You can directly download a Tamil medium paper for practice.
Here is the working download link for you:
JEE Main Previous Year Question Paper in Tamil – Collegedunia (https://collegedunia.com/exams/jee-main/question-paper?utm_source=chatgpt.com)
To use the paper effectively, first attempt it within the official exam duration of three hours without interruption, then check your answers with the official key. Make note of the chapters where you face difficulty and revise those concepts from NCERT and reference books. Regular practice of at least one paper weekly will build exam-like stamina and problem-solving ability.
In summary, JEE Main question papers in Tamil language are officially available, and you can download them using the provided link. Practice them sincerely to maximize your performance
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