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Understanding Essential Formulas for Students

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JEE Test Series 2026

How to Remember and Use Common Math and Science Formulas

The Joint Entrance Examination (JEE) is one of the most competitive entrance exams in India for admission to various engineering colleges across the country. Physics is an essential subject in the Updated Syllabus, and candidates need to have a strong understanding of the various physics formulas to crack the exam. In this article, we will discuss some of the JEE Main Formulas and Advanced and how to learn them effectively.

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JEE Physics Syllabus 2026 covers a wide range of topics such as Kinematics, Laws of Motion, Work, Energy and Power, Gravitation, Properties of Matter, Thermodynamics, Waves, Optics, Electromagnetic Induction and Alternating Currents, Electromagnetic Waves, and Dual Nature of Matter and Radiation, among others. These topics require a thorough understanding of concepts and formulas to solve numerical problems.

JEE Physics Formulas 2026 - Download as PDF

Now, let us discuss some of the important JEE Physics formulas and their applications.


1. Kinematics Formulas:

Kinematics is the study of motion without considering its causes. The following are some of the essential kinematics formulas for JEE Main and Advanced:


  • $v = u + at$: This formula relates the initial velocity, final velocity, acceleration, and time taken for the motion. Here, 'v' is the final velocity, 'u' is the initial velocity, 'a' is the acceleration, and 't' is the time taken for the motion.

  • $s = ut + \dfrac{1}{2}a{t^2}$: This formula relates the displacement, initial velocity, acceleration, and time taken for the motion. Here, 's' is the displacement, 'u' is the initial velocity, 'a' is the acceleration, and 't' is the time taken for the motion.

  • ${{v^2} = {u^2} + 2as}$: This formula relates the initial velocity, final velocity, acceleration, and displacement. Here, 'v' is the final velocity, 'u' is the initial velocity, 'a' is the acceleration, and 's' is the displacement.


These formulas are used to solve numerical problems related to motion, such as finding the velocity, acceleration, and displacement of an object.


2. Work, Energy, and Power Formulas:

Work, Energy, and Power are crucial concepts in Physics and are widely used in JEE. The following are some of the essential formulas related to these concepts:


  • ${{\rm{W}} = {\rm{Fdcos}}\theta }$: This formula relates the work done by a force, displacement, and the angle between the force and displacement. Here, 'W' is the work done, 'F' is the force applied, 'd' is the displacement, and 'θ' is the angle between the force and displacement.

  • ${{\rm{K}}{\rm{.E}} = \dfrac{1}{2}m{v^2}}$: This formula relates the kinetic energy of a body with its mass and velocity.

  • ${{\rm{P}} = \dfrac{{\rm{W}}}{t}}$: This formula relates the power of a body with the work done and the time taken.


3. Gravitation Formulas: 

Gravitation is a fundamental concept in Physics and plays a vital role in JEE. The following are some of the essential formulas related to Gravitation:


  • ${{\rm{F}} = \dfrac{{{\rm{G}}\left( {m1m2} \right)}}{{{r^2}}}}$: This formula relates the gravitational force between two objects with their masses and the distance between them.

  • ${g = \dfrac{{GM}}{{{r^2}}}}$: This formula relates the acceleration due to the gravity of a body with its mass and the distance from the centre of the earth.

  • ${{T^2} = \dfrac{{\left( {4{\pi ^2}{r^3}} \right)}}{{GM}}}$: This formula relates the period of a planet's revolution around the sun with its radius and mass.


4. Laws of Motion Formulas:

Laws of Motion are fundamental to Physics, and they are widely used in the JEE mains exam. The following are some of the essential formulas related to these laws:


  • $F = ma$: This formula relates the force applied to an object, its mass, and acceleration. Here, 'F' is the force applied, 'm' is the mass of the object, and 'a' is its acceleration.

  • ${{\rm{F}} = \mu N}$: This formula relates the force of friction, the coefficient of friction, and the normal force. Here, 'F' is the force of friction, '{\mu }' is the coefficient of friction, and 'N' is the normal force.

  • $Fg = mg$: This formula relates the force of gravity, the mass of an object, and the acceleration due to gravity.


5. Heat and Thermodynamics Formulas:

Heat and Thermodynamics is an important topic in JEE Physics, and it covers a wide range of concepts such as Heat Transfer, Thermodynamic Processes, and Laws of Thermodynamics.


Understanding the formulas related to these concepts is essential for solving numerical problems in the JEE Physics exam. In this short note, we will discuss some of the essential Heat and Thermodynamics formulas and how to apply them.


a. Heat Transfer Formulas:

Heat Transfer is the study of the transfer of thermal energy between different objects. The following are some of the essential formulas related to heat transfer:


  • ${Q = mc\Delta T}$: This formula relates the amount of heat transferred, the specific heat capacity, the mass of the object, and the temperature change. Here, 'Q' is the amount of heat transferred, 'm' is the mass of the object, 'c' is the specific heat capacity, and '${\Delta T}$' is the temperature change.

  • $Q = ml$: This formula relates the amount of heat required to change the state of a substance, the mass of the substance, and the latent heat of fusion/vaporisation. Here, 'Q' is the amount of heat required, 'm' is the mass of the substance, and 'l' is the latent heat of fusion/vaporisation.


These formulas are used to solve numerical problems related to heat transfer, such as finding the amount of heat transferred between two objects or the amount of heat required to change the state of a substance.


b. Thermodynamic Processes Formulas:

Thermodynamic Processes refer to the changes in the state of a system due to changes in temperature, pressure, or volume. The following are some of the essential formulas related to thermodynamic processes:


  • ${PV = nRT}$: This formula relates the pressure, volume, number of moles, gas constant, and temperature of an ideal gas. Here, 'P' is the pressure, 'V' is the volume, 'n' is the number of moles, 'R' is the gas constant, and 'T' is the temperature.

  • ${Q = \Delta U + W}$: This formula relates the heat supplied to a system, the change in its internal energy, and the work done on it. Here, 'Q' is the heat supplied, '{\Delta U}' is the change in internal energy, and 'W' is the work done on the system.


These formulas are used to solve numerical problems related to thermodynamic processes, such as finding the change in internal energy of a system or the work done on it.


c. Laws of Thermodynamics Formulas:

In entropy, 'Q' is the heat transferred, and 'T' is the temperature. The Laws of Thermodynamics are fundamental to understanding heat and thermodynamics. The following are some of the essential formulas related to these laws:


  • ${\Delta S = \dfrac{Q}{T}}$: This formula relates the change in entropy, the amount of heat transferred, and the temperature of the system. Here, 'ΔS' is the change. 

  • ${\Delta U = Q - W}$: This formula relates the change in internal energy, the heat supplied to the system, and the work done on the system. Here, 'ΔU' is the change in internal energy, 'Q' is the heat supplied, and 'W' is the work done on the system.


To apply these formulas, you need to understand the concept behind them and identify the relevant variables. You should also be familiar with unit conversions and use the appropriate units for each variable. Practice solving numerical problems based on these formulas regularly to improve your problem-solving skills.


How to Learn JEE Main and Advanced Physics Formula

To effectively learn JEE (Joint Entrance Examination) Physics formulas for the mains exam, you can follow these steps:


  • Understand the Syllabus: Familiarise yourself with the JEE Physics syllabus to identify the topics and subtopics you need to cover. This will help you organise your study plan and prioritise your efforts.

  • Gather Study Materials: Collect reliable study materials such as textbooks, reference books, and study guides specifically designed for JEE Physics. Make sure the resources you choose cover the required topics and provide clear explanations of the formulas.

  • Break Down the Topics: Divide the topics into smaller sections to make your learning process more manageable. Focus on one concept or formula at a time, ensuring you have a clear understanding before moving on to the next one.

  • Understand the Derivations: For each formula, try to understand the underlying concepts and derivations. This will help you grasp the logic behind the formula and remember it more effectively. Pay attention to key principles, laws, and mathematical manipulations involved.

  • Practice Numerical Problems: Physics is a subject that requires practical application. Solve a wide range of numerical problems related to each formula you learn. This will enhance your problem-solving skills and reinforce your understanding of the formulas in real-world scenarios.

  • Make Use of Visual Aids: Physics often involves visual representations such as diagrams, graphs, and charts. Utilise these visual aids to understand the concepts better and visualise how the formulas apply to different situations. This can aid in memory retention and comprehension.

  • Create Formula Sheets or Flashcards: As you progress, create personalised formula sheets or flashcards. Summarise each formula along with its variables, units, and any important notes or exceptions. Regularly review these resources to reinforce your knowledge.

  • Review and Revise Regularly: Consistent revision is crucial for long-term retention. Set aside dedicated time to review the formulas you have learned. Practice problems from past papers and mock tests to strengthen your understanding and identify any areas that need improvement.

  • Seek Clarification: If you encounter any difficulties or have questions, don't hesitate to seek clarification. Consult your teachers, classmates, or online resources to address your queries and deepen your understanding of the formulas.

  • Test Yourself: Regularly assess your knowledge through practice tests or quizzes. This will help you identify your strengths and weaknesses and focus your efforts accordingly. Additionally, it will familiarise you with the exam format and improve your time management skills.


Remember, learning JEE Physics formulas is not just about memorisation but understanding the underlying principles. By following these steps and maintaining a consistent study routine, you can effectively learn and apply the necessary formulas for the JEE Main and Advanced exams.


Significance of Physics Formula in JEE Main 2025 

  • Mechanics: Key formulas in Mechanics, such as those for kinematics, Newton’s laws, and work energy, are essential for quickly solving problems on motion, forces, and energy transfer.

  • Thermodynamics: Thermodynamic formulas, like those for heat transfer, work done, and the laws of thermodynamics, allow students to handle complex calculations on heat, entropy, and internal energy effectively.

  • Electricity and Magnetism: Formulas in this topic, including Ohm’s law, Coulomb’s law, and Faraday’s law, help in solving problems on electric circuits, forces between charges, and magnetic fields with accuracy.

  • Optics: In Optics, formulas for reflection, refraction, and lens equations enable quick calculations related to light paths, magnification, and focal length.

  • Waves and Oscillations: Formulas such as those for frequency, wavelength, and wave speed are essential for understanding wave behaviour, sound waves, and oscillatory motion.

  • Modern Physics: Formulas in Modern Physics, like those in photoelectric effect and atomic structure, simplify questions on electron behaviour, photon energy, and nuclear reactions.

  • Fluid Mechanics: Formulas like Bernoulli’s equation and Archimedes' principle are necessary for handling problems related to fluid flow, pressure, and buoyancy.

  • Rotational Motion: Rotational formulas, such as those for torque, angular momentum, and moment of inertia, are critical for analysing spinning objects and rotational dynamics.


Conclusion

JEE physics formulas are essential for candidates appearing for the JEE Main and Advanced exams as they help in solving numerical problems with ease and accuracy. These formulas cover various topics like Kinematics, Work, Energy, and Power, and Gravitation, among others. It is recommended that candidates understand the concepts behind these formulas and practice their application to excel in JEE Physics. With dedication and hard work, cracking the JEE Main and Advanced exam is possible.


JEE Main Subject-wise Important Formulas

Start your JEE Main journey with confidence, equipped with our Subject-wise important formulas that encompass the crucial concepts from Physics, Chemistry, and Mathematics. From Newton's Laws of Motion to chemical reactions and trigonometric identities, you will get the core formulas that form the foundation of JEE Main success. The table below will prove to be an invaluable asset in your JEE Main preparation.


S. No

Subject

Subject-wise Important Formula Links

1

Chemistry

Important Formulas for Chemistry

2

Maths

Important Formulas for Maths


Important Study Materials Links for JEE Exams 2026

JEE Exams 2026, 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. 


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FAQs on Understanding Essential Formulas for Students

1. What are the main formulas used in mathematics?

Mathematics has foundational formulas that are essential for solving a variety of problems. Some of the most important include:

  • Area of a rectangle = length × breadth
  • Perimeter of a square = 4 × side
  • Pythagoras Theorem: a² + b² = c²
  • Quadratic Formula: x = [-b ± √(b² - 4ac)] / 2a
  • Simple Interest = (Principal × Rate × Time) / 100

These formulas help in calculation, measurement, and problem-solving across different branches of mathematics, including geometry and algebra.

2. Why is it important to learn mathematical formulas?

Learning mathematical formulas is essential because they provide quick methods to solve complex problems. Key benefits include:

  • Saves time during exams by allowing quick calculations
  • Helps understand and apply mathematical concepts accurately
  • Enhances problem-solving and critical-thinking skills
  • Forms the basis of higher-level mathematics and real-world applications

Mastery of formulas supports academic success and practical reasoning.

3. How can students easily remember important formulas?

To remember important formulas, students can use memory techniques and regular practice. Effective methods include:

  • Creating flashcards for frequent revision
  • Writing formulas repeatedly to reinforce memory
  • Using mnemonics or associations
  • Practicing problems that use the formulas

Consistent use and visualization help in long-term retention of formulas.

4. What is the Pythagoras theorem formula and its application?

The Pythagoras theorem states that in a right-angled triangle, the square of the hypotenuse equals the sum of the squares of the other two sides. The formula is:

  • c² = a² + b², where c is the hypotenuse

It is widely used to find the length of sides in triangles and solve geometric problems involving distances.

5. What is the difference between area and perimeter formulas?

The area formula measures space inside a shape, while the perimeter formula measures the distance around it.

  • Area of Rectangle = length × breadth
  • Perimeter of Rectangle = 2 × (length + breadth)
  • Area is in square units; perimeter is in linear units.

Knowing both is important for solving geometry questions in exams.

6. How is the quadratic formula derived and used?

The quadratic formula finds the roots of equations in the form ax² + bx + c = 0.

  • Formula: x = [-b ± √(b² - 4ac)] / 2a
  • Derived by completing the square on the standard quadratic equation
  • Applied when factoring is difficult or for complex roots

It is an essential formula in algebra for solving diverse quadratic equations.

7. What are the basic trigonometric formulas every student should know?

Basic trigonometric formulas are vital for solving problems involving angles and lengths. Key identities include:

  • sin²θ + cos²θ = 1
  • tanθ = sinθ / cosθ
  • sec²θ - tan²θ = 1
  • cosec²θ - cot²θ = 1

Trigonometric formulas are frequently used in both geometry and physics applications.

8. Can you give some tips for using formulas during mathematics exams?

To use formulas effectively in exams:

  • Write all relevant formulas before starting the paper
  • Understand conditions for applying each formula
  • Use correct units with answers
  • Double-check substitutions and calculations

Systematically applying these tips helps avoid errors and maximizes marks.

9. What is the formula for the area of a circle?

The area of a circle is given by:

  • Area = πr², where r is the radius

This essential geometry formula helps calculate the region inside any circular shape.

10. What are the important formulas for CBSE Class 10 Mathematics?

For CBSE Class 10 Mathematics, some commonly used formulas are:

  • Quadratic Equation: x = [-b ± √(b² - 4ac)] / 2a
  • Pythagoras Theorem: a² + b² = c²
  • Area of Triangle: 0.5 × base × height
  • Trigonometric Ratios and Identities
  • Arithmetic Progression: aₙ = a + (n - 1)d

These formulas cover major syllabus topics and help solve a wide range of problems confidently.